|\^/| Maple 12 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #BEGIN OUTFILE1 > > # Begin Function number 3 > display_alot := proc(iter) > global > INFO, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_unchanged_h_cnt, > glob_no_eqs, > glob_abserr, > glob_small_float, > glob_max_iter, > glob_max_hours, > glob_log10_abserr, > glob_look_poles, > glob_optimal_done, > glob_not_yet_finished, > glob_max_opt_iter, > glob_normmax, > glob_last_good_h, > glob_reached_optimal_h, > glob_initial_pass, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > glob_max_trunc_err, > glob_disp_incr, > years_in_century, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned2, > glob_large_float, > glob_hmin_init, > glob_hmin, > glob_clock_sec, > centuries_in_millinium, > glob_display_flag, > glob_max_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_h, > min_in_hour, > sec_in_min, > glob_html_log, > glob_log10abserr, > glob_smallish_float, > glob_log10normmin, > glob_optimal_start, > glob_log10_relerr, > glob_dump_analytic, > glob_hmax, > glob_almost_1, > days_in_year, > glob_max_rel_trunc_err, > glob_current_iter, > glob_curr_iter_when_opt, > glob_relerr, > glob_not_yet_start_msg, > glob_clock_start_sec, > hours_in_day, > glob_dump, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_3, > array_const_0D0, > #END CONST > array_last_rel_error, > array_norms, > array_y1_init, > array_y2_init, > array_tmp1_g, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_type_pole, > array_1st_rel_error, > array_pole, > array_m1, > array_y2, > array_y1, > array_y1_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher, > array_real_pole, > array_poles, > array_y2_higher, > array_y2_higher_work2, > array_y1_set_initial, > array_y1_higher_work, > glob_last; > > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (iter >= 0) then # if number 1 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y2(ind_var); > omniout_float(ALWAYS,"y2[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y2[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y2[1] (numeric) ",33,numeric_val,20," "); > if (abs(analytic_val_y) <> 0.0) then # if number 2 > relerr := abserr*100.0/abs(analytic_val_y); > else > relerr := -1.0 ; > fi;# end if 2 > ; > if glob_iter = 1 then # if number 2 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 2 > ; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > ; > analytic_val_y := exact_soln_y1(ind_var); > omniout_float(ALWAYS,"y1[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y1[term_no]; > abserr := abs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y1[1] (numeric) ",33,numeric_val,20," "); > if (abs(analytic_val_y) <> 0.0) then # if number 2 > relerr := abserr*100.0/abs(analytic_val_y); > else > relerr := -1.0 ; > fi;# end if 2 > ; > if glob_iter = 1 then # if number 2 > array_1st_rel_error[2] := relerr; > else > array_last_rel_error[2] := relerr; > fi;# end if 2 > ; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > #BOTTOM DISPLAY ALOT > fi;# end if 1 > ; > # End Function number 3 > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global INFO, glob_iolevel, glob_max_terms, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_start, glob_unchanged_h_cnt, glob_no_eqs, glob_abserr, glob_small_float, glob_max_iter, glob_max_hours, glob_log10_abserr, glob_look_poles, glob_optimal_done, glob_not_yet_finished, glob_max_opt_iter, glob_normmax, glob_last_good_h, glob_reached_optimal_h, glob_initial_pass, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, glob_max_trunc_err, glob_disp_incr, years_in_century, djd_debug, glob_optimal_expect_sec, glob_iter, MAX_UNCHANGED, glob_orig_start_sec, glob_warned2, glob_large_float, glob_hmin_init, glob_hmin, glob_clock_sec, centuries_in_millinium, glob_display_flag, glob_max_sec, glob_warned, glob_optimal_clock_start_sec, glob_h, min_in_hour, sec_in_min, glob_html_log, glob_log10abserr, glob_smallish_float, glob_log10normmin, glob_optimal_start, glob_log10_relerr, glob_dump_analytic, glob_hmax, glob_almost_1, days_in_year, glob_max_rel_trunc_err, glob_current_iter, glob_curr_iter_when_opt, glob_relerr, glob_not_yet_start_msg, glob_clock_start_sec, hours_in_day, glob_dump, glob_percent_done, array_const_1D0, array_const_1, array_const_3, array_const_0D0, array_last_rel_error, array_norms, array_y1_init, array_y2_init, array_tmp1_g, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_type_pole, array_1st_rel_error, array_pole, array_m1, array_y2, array_y1, array_y1_higher_work2, array_complex_pole, array_y2_set_initial, array_y2_higher_work, array_y1_higher, array_real_pole, array_poles, array_y2_higher, array_y2_higher_work2, array_y1_set_initial, array_y1_higher_work, glob_last; if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y2(ind_var); omniout_float(ALWAYS, "y2[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y2[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y2[1] (numeric) ", 33, numeric_val, 20, " "); if abs(analytic_val_y) <> 0. then relerr := abserr*100.0/abs(analytic_val_y) else relerr := -1.0 end if; if glob_iter = 1 then array_1st_rel_error[1] := relerr else array_last_rel_error[1] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " "); analytic_val_y := exact_soln_y1(ind_var); omniout_float(ALWAYS, "y1[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y1[term_no]; abserr := abs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y1[1] (numeric) ", 33, numeric_val, 20, " "); if abs(analytic_val_y) <> 0. then relerr := abserr*100.0/abs(analytic_val_y) else relerr := -1.0 end if; if glob_iter = 1 then array_1st_rel_error[2] := relerr else array_last_rel_error[2] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end proc > # Begin Function number 4 > adjust_for_pole := proc(h_param) > global > INFO, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_unchanged_h_cnt, > glob_no_eqs, > glob_abserr, > glob_small_float, > glob_max_iter, > glob_max_hours, > glob_log10_abserr, > glob_look_poles, > glob_optimal_done, > glob_not_yet_finished, > glob_max_opt_iter, > glob_normmax, > glob_last_good_h, > glob_reached_optimal_h, > glob_initial_pass, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > glob_max_trunc_err, > glob_disp_incr, > years_in_century, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned2, > glob_large_float, > glob_hmin_init, > glob_hmin, > glob_clock_sec, > centuries_in_millinium, > glob_display_flag, > glob_max_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_h, > min_in_hour, > sec_in_min, > glob_html_log, > glob_log10abserr, > glob_smallish_float, > glob_log10normmin, > glob_optimal_start, > glob_log10_relerr, > glob_dump_analytic, > glob_hmax, > glob_almost_1, > days_in_year, > glob_max_rel_trunc_err, > glob_current_iter, > glob_curr_iter_when_opt, > glob_relerr, > glob_not_yet_start_msg, > glob_clock_start_sec, > hours_in_day, > glob_dump, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_3, > array_const_0D0, > #END CONST > array_last_rel_error, > array_norms, > array_y1_init, > array_y2_init, > array_tmp1_g, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_type_pole, > array_1st_rel_error, > array_pole, > array_m1, > array_y2, > array_y1, > array_y1_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher, > array_real_pole, > array_poles, > array_y2_higher, > array_y2_higher_work2, > array_y1_set_initial, > array_y1_higher_work, > glob_last; > > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > > hnew := h_param; > glob_normmax := glob_small_float; > if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y2_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1 > ; > if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 1 > tmp := abs(array_y1_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1 > ; > if (glob_look_poles and (abs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > newline(); > return(hnew); > fi;# end if 2 > fi;# end if 1 > ; > if (not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1 > ; > hnew := sz2; > #END block > #BOTTOM ADJUST FOR POLE > # End Function number 4 > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global INFO, glob_iolevel, glob_max_terms, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_start, glob_unchanged_h_cnt, glob_no_eqs, glob_abserr, glob_small_float, glob_max_iter, glob_max_hours, glob_log10_abserr, glob_look_poles, glob_optimal_done, glob_not_yet_finished, glob_max_opt_iter, glob_normmax, glob_last_good_h, glob_reached_optimal_h, glob_initial_pass, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, glob_max_trunc_err, glob_disp_incr, years_in_century, djd_debug, glob_optimal_expect_sec, glob_iter, MAX_UNCHANGED, glob_orig_start_sec, glob_warned2, glob_large_float, glob_hmin_init, glob_hmin, glob_clock_sec, centuries_in_millinium, glob_display_flag, glob_max_sec, glob_warned, glob_optimal_clock_start_sec, glob_h, min_in_hour, sec_in_min, glob_html_log, glob_log10abserr, glob_smallish_float, glob_log10normmin, glob_optimal_start, glob_log10_relerr, glob_dump_analytic, glob_hmax, glob_almost_1, days_in_year, glob_max_rel_trunc_err, glob_current_iter, glob_curr_iter_when_opt, glob_relerr, glob_not_yet_start_msg, glob_clock_start_sec, hours_in_day, glob_dump, glob_percent_done, array_const_1D0, array_const_1, array_const_3, array_const_0D0, array_last_rel_error, array_norms, array_y1_init, array_y2_init, array_tmp1_g, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_type_pole, array_1st_rel_error, array_pole, array_m1, array_y2, array_y1, array_y1_higher_work2, array_complex_pole, array_y2_set_initial, array_y2_higher_work, array_y1_higher, array_real_pole, array_poles, array_y2_higher, array_y2_higher_work2, array_y1_set_initial, array_y1_higher_work, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < abs(array_y2_higher[1, 1]) then tmp := abs(array_y2_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_small_float < abs(array_y1_higher[1, 1]) then tmp := abs(array_y1_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < abs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); newline(); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2 end proc > # Begin Function number 5 > prog_report := proc(x_start,x_end) > global > INFO, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_unchanged_h_cnt, > glob_no_eqs, > glob_abserr, > glob_small_float, > glob_max_iter, > glob_max_hours, > glob_log10_abserr, > glob_look_poles, > glob_optimal_done, > glob_not_yet_finished, > glob_max_opt_iter, > glob_normmax, > glob_last_good_h, > glob_reached_optimal_h, > glob_initial_pass, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > glob_max_trunc_err, > glob_disp_incr, > years_in_century, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned2, > glob_large_float, > glob_hmin_init, > glob_hmin, > glob_clock_sec, > centuries_in_millinium, > glob_display_flag, > glob_max_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_h, > min_in_hour, > sec_in_min, > glob_html_log, > glob_log10abserr, > glob_smallish_float, > glob_log10normmin, > glob_optimal_start, > glob_log10_relerr, > glob_dump_analytic, > glob_hmax, > glob_almost_1, > days_in_year, > glob_max_rel_trunc_err, > glob_current_iter, > glob_curr_iter_when_opt, > glob_relerr, > glob_not_yet_start_msg, > glob_clock_start_sec, > hours_in_day, > glob_dump, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_3, > array_const_0D0, > #END CONST > array_last_rel_error, > array_norms, > array_y1_init, > array_y2_init, > array_tmp1_g, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_type_pole, > array_1st_rel_error, > array_pole, > array_m1, > array_y2, > array_y1, > array_y1_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher, > array_real_pole, > array_poles, > array_y2_higher, > array_y2_higher_work2, > array_y1_set_initial, > array_y1_higher_work, > glob_last; > > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if convfloat(percent_done) < convfloat(100.0) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > fi;# end if 1 > ; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > # End Function number 5 > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global INFO, glob_iolevel, glob_max_terms, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_start, glob_unchanged_h_cnt, glob_no_eqs, glob_abserr, glob_small_float, glob_max_iter, glob_max_hours, glob_log10_abserr, glob_look_poles, glob_optimal_done, glob_not_yet_finished, glob_max_opt_iter, glob_normmax, glob_last_good_h, glob_reached_optimal_h, glob_initial_pass, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, glob_max_trunc_err, glob_disp_incr, years_in_century, djd_debug, glob_optimal_expect_sec, glob_iter, MAX_UNCHANGED, glob_orig_start_sec, glob_warned2, glob_large_float, glob_hmin_init, glob_hmin, glob_clock_sec, centuries_in_millinium, glob_display_flag, glob_max_sec, glob_warned, glob_optimal_clock_start_sec, glob_h, min_in_hour, sec_in_min, glob_html_log, glob_log10abserr, glob_smallish_float, glob_log10normmin, glob_optimal_start, glob_log10_relerr, glob_dump_analytic, glob_hmax, glob_almost_1, days_in_year, glob_max_rel_trunc_err, glob_current_iter, glob_curr_iter_when_opt, glob_relerr, glob_not_yet_start_msg, glob_clock_start_sec, hours_in_day, glob_dump, glob_percent_done, array_const_1D0, array_const_1, array_const_3, array_const_0D0, array_last_rel_error, array_norms, array_y1_init, array_y2_init, array_tmp1_g, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_type_pole, array_1st_rel_error, array_pole, array_m1, array_y2, array_y1, array_y1_higher_work2, array_complex_pole, array_y2_set_initial, array_y2_higher_work, array_y1_higher, array_real_pole, array_poles, array_y2_higher, array_y2_higher_work2, array_y1_set_initial, array_y1_higher_work, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # Begin Function number 6 > check_for_pole := proc() > global > INFO, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_unchanged_h_cnt, > glob_no_eqs, > glob_abserr, > glob_small_float, > glob_max_iter, > glob_max_hours, > glob_log10_abserr, > glob_look_poles, > glob_optimal_done, > glob_not_yet_finished, > glob_max_opt_iter, > glob_normmax, > glob_last_good_h, > glob_reached_optimal_h, > glob_initial_pass, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > glob_max_trunc_err, > glob_disp_incr, > years_in_century, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned2, > glob_large_float, > glob_hmin_init, > glob_hmin, > glob_clock_sec, > centuries_in_millinium, > glob_display_flag, > glob_max_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_h, > min_in_hour, > sec_in_min, > glob_html_log, > glob_log10abserr, > glob_smallish_float, > glob_log10normmin, > glob_optimal_start, > glob_log10_relerr, > glob_dump_analytic, > glob_hmax, > glob_almost_1, > days_in_year, > glob_max_rel_trunc_err, > glob_current_iter, > glob_curr_iter_when_opt, > glob_relerr, > glob_not_yet_start_msg, > glob_clock_start_sec, > hours_in_day, > glob_dump, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_3, > array_const_0D0, > #END CONST > array_last_rel_error, > array_norms, > array_y1_init, > array_y2_init, > array_tmp1_g, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_type_pole, > array_1st_rel_error, > array_pole, > array_m1, > array_y2, > array_y1, > array_y1_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher, > array_real_pole, > array_poles, > array_y2_higher, > array_y2_higher_work2, > array_y1_set_initial, > array_y1_higher_work, > glob_last; > > local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found; > #TOP CHECK FOR POLE > #IN RADII REAL EQ = 1 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 3 - 1; > while ((m >= 10) and ((abs(array_y2_higher[1,m]) < glob_small_float) or (abs(array_y2_higher[1,m-1]) < glob_small_float) or (abs(array_y2_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2 > ; > if (m > 10) then # if number 1 > rm0 := array_y2_higher[1,m]/array_y2_higher[1,m-1]; > rm1 := array_y2_higher[1,m-1]/array_y2_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (abs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > array_real_pole[1,1] := rcs; > array_real_pole[1,2] := ord_no; > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 1 > ; > #BOTTOM RADII REAL EQ = 1 > #IN RADII REAL EQ = 2 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 2 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 1 - 1; > while ((m >= 10) and ((abs(array_y1_higher[1,m]) < glob_small_float) or (abs(array_y1_higher[1,m-1]) < glob_small_float) or (abs(array_y1_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2 > ; > if (m > 10) then # if number 1 > rm0 := array_y1_higher[1,m]/array_y1_higher[1,m-1]; > rm1 := array_y1_higher[1,m-1]/array_y1_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (abs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > array_real_pole[2,1] := rcs; > array_real_pole[2,2] := ord_no; > else > array_real_pole[2,1] := glob_large_float; > array_real_pole[2,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[2,1] := glob_large_float; > array_real_pole[2,2] := glob_large_float; > fi;# end if 1 > ; > #BOTTOM RADII REAL EQ = 2 > #TOP RADII COMPLEX EQ = 1 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 3 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (abs(array_y2_higher[1,n]) > glob_small_float) then # if number 1 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 1 > ; > n := n - 1; > od;# end do number 2 > ; > m := n + cnt; > if (m <= 10) then # if number 1 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > elif (abs(array_y2_higher[1,m]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y2_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y2_higher[1,m-5]) >= (glob_large_float)) then # if number 2 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > else > rm0 := (array_y2_higher[1,m])/(array_y2_higher[1,m-1]); > rm1 := (array_y2_higher[1,m-1])/(array_y2_higher[1,m-2]); > rm2 := (array_y2_higher[1,m-2])/(array_y2_higher[1,m-3]); > rm3 := (array_y2_higher[1,m-3])/(array_y2_higher[1,m-4]); > rm4 := (array_y2_higher[1,m-4])/(array_y2_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 3 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := glob_large_float; > else > if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (abs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * glob_h; > else > rad_c := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 4 > fi;# end if 3 > ; > array_complex_pole[1,1] := rad_c; > array_complex_pole[1,2] := ord_no; > fi;# end if 2 > ; > #BOTTOM RADII COMPLEX EQ = 1 > #TOP RADII COMPLEX EQ = 2 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (abs(array_y1_higher[1,n]) > glob_small_float) then # if number 2 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 2 > ; > n := n - 1; > od;# end do number 2 > ; > m := n + cnt; > if (m <= 10) then # if number 2 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > elif (abs(array_y1_higher[1,m]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-1]) >=(glob_large_float)) or (abs(array_y1_higher[1,m-2]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-3]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-4]) >= (glob_large_float)) or (abs(array_y1_higher[1,m-5]) >= (glob_large_float)) then # if number 3 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > else > rm0 := (array_y1_higher[1,m])/(array_y1_higher[1,m-1]); > rm1 := (array_y1_higher[1,m-1])/(array_y1_higher[1,m-2]); > rm2 := (array_y1_higher[1,m-2])/(array_y1_higher[1,m-3]); > rm3 := (array_y1_higher[1,m-3])/(array_y1_higher[1,m-4]); > rm4 := (array_y1_higher[1,m-4])/(array_y1_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((abs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (abs(dr1) <= glob_small_float)) then # if number 4 > array_complex_pole[2,1] := glob_large_float; > array_complex_pole[2,2] := glob_large_float; > else > if (abs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 5 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (abs(rcs) > glob_small_float) then # if number 6 > if (rcs > 0.0) then # if number 7 > rad_c := sqrt(rcs) * glob_h; > else > rad_c := glob_large_float; > fi;# end if 7 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > fi;# end if 4 > ; > array_complex_pole[2,1] := rad_c; > array_complex_pole[2,2] := ord_no; > fi;# end if 3 > ; > #BOTTOM RADII COMPLEX EQ = 2 > found := false; > #TOP WHICH RADII EQ = 1 > if not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 3 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > found := true; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0))) then # if number 3 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float))) then # if number 3 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > found := true; > array_type_pole[1] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0)) then # if number 3 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0)) then # if number 3 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > array_type_pole[1] := 2; > found := true; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found then # if number 3 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > #BOTTOM WHICH RADII EQ = 1 > found := false; > #TOP WHICH RADII EQ = 2 > if not found and ((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float)) and ((array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0)) then # if number 3 > array_poles[2,1] := array_complex_pole[2,1]; > array_poles[2,2] := array_complex_pole[2,2]; > found := true; > array_type_pole[2] := 2; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[2,1] <> glob_large_float) and (array_real_pole[2,2] <> glob_large_float) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > 0.0) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float) or (array_complex_pole[2,1] <= 0.0 ) or (array_complex_pole[2,2] <= 0.0))) then # if number 3 > array_poles[2,1] := array_real_pole[2,1]; > array_poles[2,2] := array_real_pole[2,2]; > found := true; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and (((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float))) then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > found := true; > array_type_pole[2] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_real_pole[2,1] < array_complex_pole[2,1]) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > 0.0)) then # if number 3 > array_poles[2,1] := array_real_pole[2,1]; > array_poles[2,2] := array_real_pole[2,2]; > found := true; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float) and (array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0)) then # if number 3 > array_poles[2,1] := array_complex_pole[2,1]; > array_poles[2,2] := array_complex_pole[2,2]; > array_type_pole[2] := 2; > found := true; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4 > ; > fi;# end if 3 > ; > if not found then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > array_type_pole[2] := 3; > if (glob_display_flag) then # if number 4 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 4 > ; > fi;# end if 3 > ; > #BOTTOM WHICH RADII EQ = 2 > array_pole[1] := glob_large_float; > array_pole[2] := glob_large_float; > #TOP WHICH RADIUS EQ = 1 > if array_pole[1] > array_poles[1,1] then # if number 3 > array_pole[1] := array_poles[1,1]; > array_pole[2] := array_poles[1,2]; > fi;# end if 3 > ; > #BOTTOM WHICH RADIUS EQ = 1 > #TOP WHICH RADIUS EQ = 2 > if array_pole[1] > array_poles[2,1] then # if number 3 > array_pole[1] := array_poles[2,1]; > array_pole[2] := array_poles[2,2]; > fi;# end if 3 > ; > #BOTTOM WHICH RADIUS EQ = 2 > #BOTTOM CHECK FOR POLE > display_pole(); > # End Function number 6 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found; global INFO, glob_iolevel, glob_max_terms, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_start, glob_unchanged_h_cnt, glob_no_eqs, glob_abserr, glob_small_float, glob_max_iter, glob_max_hours, glob_log10_abserr, glob_look_poles, glob_optimal_done, glob_not_yet_finished, glob_max_opt_iter, glob_normmax, glob_last_good_h, glob_reached_optimal_h, glob_initial_pass, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, glob_max_trunc_err, glob_disp_incr, years_in_century, djd_debug, glob_optimal_expect_sec, glob_iter, MAX_UNCHANGED, glob_orig_start_sec, glob_warned2, glob_large_float, glob_hmin_init, glob_hmin, glob_clock_sec, centuries_in_millinium, glob_display_flag, glob_max_sec, glob_warned, glob_optimal_clock_start_sec, glob_h, min_in_hour, sec_in_min, glob_html_log, glob_log10abserr, glob_smallish_float, glob_log10normmin, glob_optimal_start, glob_log10_relerr, glob_dump_analytic, glob_hmax, glob_almost_1, days_in_year, glob_max_rel_trunc_err, glob_current_iter, glob_curr_iter_when_opt, glob_relerr, glob_not_yet_start_msg, glob_clock_start_sec, hours_in_day, glob_dump, glob_percent_done, array_const_1D0, array_const_1, array_const_3, array_const_0D0, array_last_rel_error, array_norms, array_y1_init, array_y2_init, array_tmp1_g, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_type_pole, array_1st_rel_error, array_pole, array_m1, array_y2, array_y1, array_y1_higher_work2, array_complex_pole, array_y2_set_initial, array_y2_higher_work, array_y1_higher, array_real_pole, array_poles, array_y2_higher, array_y2_higher_work2, array_y1_set_initial, array_y1_higher_work, glob_last; n := glob_max_terms; m := n - 4; while 10 <= m and (abs(array_y2_higher[1, m]) < glob_small_float or abs(array_y2_higher[1, m - 1]) < glob_small_float or abs(array_y2_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < abs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; array_real_pole[1, 1] := rcs; array_real_pole[1, 2] := ord_no else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if; n := glob_max_terms; m := n - 2; while 10 <= m and (abs(array_y1_higher[1, m]) < glob_small_float or abs(array_y1_higher[1, m - 1]) < glob_small_float or abs(array_y1_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < abs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; array_real_pole[2, 1] := rcs; array_real_pole[2, 2] := ord_no else array_real_pole[2, 1] := glob_large_float; array_real_pole[2, 2] := glob_large_float end if else array_real_pole[2, 1] := glob_large_float; array_real_pole[2, 2] := glob_large_float end if; n := glob_max_terms - 4; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < abs(array_y2_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float elif glob_large_float <= abs(array_y2_higher[1, m]) or glob_large_float <= abs(array_y2_higher[1, m - 1]) or glob_large_float <= abs(array_y2_higher[1, m - 2]) or glob_large_float <= abs(array_y2_higher[1, m - 3]) or glob_large_float <= abs(array_y2_higher[1, m - 4]) or glob_large_float <= abs(array_y2_higher[1, m - 5]) then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2]; rm2 := array_y2_higher[1, m - 2]/array_y2_higher[1, m - 3]; rm3 := array_y2_higher[1, m - 3]/array_y2_higher[1, m - 4]; rm4 := array_y2_higher[1, m - 4]/array_y2_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or abs(dr1) <= glob_small_float then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := glob_large_float else if glob_small_float < abs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < abs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*glob_h else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[1, 1] := rad_c; array_complex_pole[1, 2] := ord_no end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < abs(array_y1_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float elif glob_large_float <= abs(array_y1_higher[1, m]) or glob_large_float <= abs(array_y1_higher[1, m - 1]) or glob_large_float <= abs(array_y1_higher[1, m - 2]) or glob_large_float <= abs(array_y1_higher[1, m - 3]) or glob_large_float <= abs(array_y1_higher[1, m - 4]) or glob_large_float <= abs(array_y1_higher[1, m - 5]) then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float else rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2]; rm2 := array_y1_higher[1, m - 2]/array_y1_higher[1, m - 3]; rm3 := array_y1_higher[1, m - 3]/array_y1_higher[1, m - 4]; rm4 := array_y1_higher[1, m - 4]/array_y1_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if abs(nr1*dr2 - nr2*dr1) <= glob_small_float or abs(dr1) <= glob_small_float then array_complex_pole[2, 1] := glob_large_float; array_complex_pole[2, 2] := glob_large_float else if glob_small_float < abs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < abs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*glob_h else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[2, 1] := rad_c; array_complex_pole[2, 2] := ord_no end if; found := false; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; found := true; array_type_pole[1] := 2; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found and array_real_pole[1, 1] <> glob_large_float and array_real_pole[1, 2] <> glob_large_float and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float or array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float) then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; found := true; array_type_pole[1] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; array_type_pole[1] := 2; found := true; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; found := false; if not found and (array_real_pole[2, 1] = glob_large_float or array_real_pole[2, 2] = glob_large_float) and array_complex_pole[2, 1] <> glob_large_float and array_complex_pole[2, 2] <> glob_large_float and 0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then array_poles[2, 1] := array_complex_pole[2, 1]; array_poles[2, 2] := array_complex_pole[2, 2]; found := true; array_type_pole[2] := 2; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found and array_real_pole[2, 1] <> glob_large_float and array_real_pole[2, 2] <> glob_large_float and 0. < array_real_pole[2, 1] and 0. < array_real_pole[2, 2] and ( array_complex_pole[2, 1] = glob_large_float or array_complex_pole[2, 2] = glob_large_float or array_complex_pole[2, 1] <= 0. or array_complex_pole[2, 2] <= 0.) then array_poles[2, 1] := array_real_pole[2, 1]; array_poles[2, 2] := array_real_pole[2, 2]; found := true; array_type_pole[2] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and (array_real_pole[2, 1] = glob_large_float or array_real_pole[2, 2] = glob_large_float) and ( array_complex_pole[2, 1] = glob_large_float or array_complex_pole[2, 2] = glob_large_float) then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; found := true; array_type_pole[2] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[2, 1] < array_complex_pole[2, 1] and 0. < array_real_pole[2, 1] and 0. < array_real_pole[2, 2] then array_poles[2, 1] := array_real_pole[2, 1]; array_poles[2, 2] := array_real_pole[2, 2]; found := true; array_type_pole[2] := 1; if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used") end if end if; if not found and array_complex_pole[2, 1] <> glob_large_float and array_complex_pole[2, 2] <> glob_large_float and 0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then array_poles[2, 1] := array_complex_pole[2, 1]; array_poles[2, 2] := array_complex_pole[2, 2]; array_type_pole[2] := 2; found := true; if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if; if not found then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; array_type_pole[2] := 3; if glob_display_flag then omniout_str(ALWAYS, "NO POLE") end if end if; array_pole[1] := glob_large_float; array_pole[2] := glob_large_float; if array_poles[1, 1] < array_pole[1] then array_pole[1] := array_poles[1, 1]; array_pole[2] := array_poles[1, 2] end if; if array_poles[2, 1] < array_pole[1] then array_pole[1] := array_poles[2, 1]; array_pole[2] := array_poles[2, 2] end if; display_pole() end proc > # Begin Function number 7 > get_norms := proc() > global > INFO, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_unchanged_h_cnt, > glob_no_eqs, > glob_abserr, > glob_small_float, > glob_max_iter, > glob_max_hours, > glob_log10_abserr, > glob_look_poles, > glob_optimal_done, > glob_not_yet_finished, > glob_max_opt_iter, > glob_normmax, > glob_last_good_h, > glob_reached_optimal_h, > glob_initial_pass, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > glob_max_trunc_err, > glob_disp_incr, > years_in_century, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned2, > glob_large_float, > glob_hmin_init, > glob_hmin, > glob_clock_sec, > centuries_in_millinium, > glob_display_flag, > glob_max_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_h, > min_in_hour, > sec_in_min, > glob_html_log, > glob_log10abserr, > glob_smallish_float, > glob_log10normmin, > glob_optimal_start, > glob_log10_relerr, > glob_dump_analytic, > glob_hmax, > glob_almost_1, > days_in_year, > glob_max_rel_trunc_err, > glob_current_iter, > glob_curr_iter_when_opt, > glob_relerr, > glob_not_yet_start_msg, > glob_clock_start_sec, > hours_in_day, > glob_dump, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_3, > array_const_0D0, > #END CONST > array_last_rel_error, > array_norms, > array_y1_init, > array_y2_init, > array_tmp1_g, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_type_pole, > array_1st_rel_error, > array_pole, > array_m1, > array_y2, > array_y1, > array_y1_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher, > array_real_pole, > array_poles, > array_y2_higher, > array_y2_higher_work2, > array_y1_set_initial, > array_y1_higher_work, > glob_last; > > local iii; > if (not glob_initial_pass) then # if number 3 > set_z(array_norms,glob_max_terms+1); > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (abs(array_y2[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := abs(array_y2[iii]); > fi;# end if 4 > ; > iii := iii + 1; > od;# end do number 2 > ; > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (abs(array_y1[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := abs(array_y1[iii]); > fi;# end if 4 > ; > iii := iii + 1; > od;# end do number 2 > #GET NORMS > ; > fi;# end if 3 > ; > # End Function number 7 > end; get_norms := proc() local iii; global INFO, glob_iolevel, glob_max_terms, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_start, glob_unchanged_h_cnt, glob_no_eqs, glob_abserr, glob_small_float, glob_max_iter, glob_max_hours, glob_log10_abserr, glob_look_poles, glob_optimal_done, glob_not_yet_finished, glob_max_opt_iter, glob_normmax, glob_last_good_h, glob_reached_optimal_h, glob_initial_pass, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, glob_max_trunc_err, glob_disp_incr, years_in_century, djd_debug, glob_optimal_expect_sec, glob_iter, MAX_UNCHANGED, glob_orig_start_sec, glob_warned2, glob_large_float, glob_hmin_init, glob_hmin, glob_clock_sec, centuries_in_millinium, glob_display_flag, glob_max_sec, glob_warned, glob_optimal_clock_start_sec, glob_h, min_in_hour, sec_in_min, glob_html_log, glob_log10abserr, glob_smallish_float, glob_log10normmin, glob_optimal_start, glob_log10_relerr, glob_dump_analytic, glob_hmax, glob_almost_1, days_in_year, glob_max_rel_trunc_err, glob_current_iter, glob_curr_iter_when_opt, glob_relerr, glob_not_yet_start_msg, glob_clock_start_sec, hours_in_day, glob_dump, glob_percent_done, array_const_1D0, array_const_1, array_const_3, array_const_0D0, array_last_rel_error, array_norms, array_y1_init, array_y2_init, array_tmp1_g, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_type_pole, array_1st_rel_error, array_pole, array_m1, array_y2, array_y1, array_y1_higher_work2, array_complex_pole, array_y2_set_initial, array_y2_higher_work, array_y1_higher, array_real_pole, array_poles, array_y2_higher, array_y2_higher_work2, array_y1_set_initial, array_y1_higher_work, glob_last; if not glob_initial_pass then set_z(array_norms, glob_max_terms + 1); iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y2[iii]) then array_norms[iii] := abs(array_y2[iii]) end if; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < abs(array_y1[iii]) then array_norms[iii] := abs(array_y1[iii]) end if; iii := iii + 1 end do end if end proc > # Begin Function number 8 > atomall := proc() > global > INFO, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_unchanged_h_cnt, > glob_no_eqs, > glob_abserr, > glob_small_float, > glob_max_iter, > glob_max_hours, > glob_log10_abserr, > glob_look_poles, > glob_optimal_done, > glob_not_yet_finished, > glob_max_opt_iter, > glob_normmax, > glob_last_good_h, > glob_reached_optimal_h, > glob_initial_pass, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > glob_max_trunc_err, > glob_disp_incr, > years_in_century, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned2, > glob_large_float, > glob_hmin_init, > glob_hmin, > glob_clock_sec, > centuries_in_millinium, > glob_display_flag, > glob_max_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_h, > min_in_hour, > sec_in_min, > glob_html_log, > glob_log10abserr, > glob_smallish_float, > glob_log10normmin, > glob_optimal_start, > glob_log10_relerr, > glob_dump_analytic, > glob_hmax, > glob_almost_1, > days_in_year, > glob_max_rel_trunc_err, > glob_current_iter, > glob_curr_iter_when_opt, > glob_relerr, > glob_not_yet_start_msg, > glob_clock_start_sec, > hours_in_day, > glob_dump, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_3, > array_const_0D0, > #END CONST > array_last_rel_error, > array_norms, > array_y1_init, > array_y2_init, > array_tmp1_g, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_type_pole, > array_1st_rel_error, > array_pole, > array_m1, > array_y2, > array_y1, > array_y1_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher, > array_real_pole, > array_poles, > array_y2_higher, > array_y2_higher_work2, > array_y1_set_initial, > array_y1_higher_work, > glob_last; > > local kkk, order_d, adj2, temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre cos $eq_no = 1 > array_tmp1_g[1] := sin(array_x[1]); > array_tmp1[1] := cos(array_x[1]); > # emit pre mult $eq_no = 1 i = 1 > array_tmp2[1] := (array_m1[1] * (array_tmp1[1])); > #emit pre add $eq_no = 1 i = 1 > array_tmp3[1] := array_const_0D0[1] + array_tmp2[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if not array_y2_set_initial[1,4] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[1] * (glob_h ^ (3)) * factorial_3(0,3); > array_y2[4] := temporary; > array_y2_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,3] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,2] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > # emit pre mult $eq_no = 2 i = 1 > array_tmp5[1] := (array_m1[1] * (array_y2[1])); > #emit pre add $eq_no = 2 i = 1 > array_tmp6[1] := array_tmp5[1] + array_const_1D0[1]; > #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5 > if not array_y1_set_initial[2,2] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[1] * (glob_h ^ (1)) * factorial_3(0,1); > array_y1[2] := temporary; > array_y1_higher[1,2] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre cos $eq_no = 1 > array_tmp1_g[2] := (att(1,array_tmp1,array_x,1)); > array_tmp1[2] := (-att(1,array_tmp1_g,array_x,1)); > # emit pre mult $eq_no = 1 i = 2 > array_tmp2[2] := ats(2,array_m1,array_tmp1,1); > #emit pre add $eq_no = 1 i = 2 > array_tmp3[2] := array_const_0D0[2] + array_tmp2[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if not array_y2_set_initial[1,5] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[2] * (glob_h ^ (3)) * factorial_3(1,4); > array_y2[5] := temporary; > array_y2_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,4] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,3] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > # emit pre mult $eq_no = 2 i = 2 > array_tmp5[2] := ats(2,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 2 > array_tmp6[2] := array_tmp5[2] + array_const_1D0[2]; > #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5 > if not array_y1_set_initial[2,3] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[2] * (glob_h ^ (1)) * factorial_3(1,2); > array_y1[3] := temporary; > array_y1_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre cos $eq_no = 1 > array_tmp1_g[3] := (att(2,array_tmp1,array_x,1)); > array_tmp1[3] := (-att(2,array_tmp1_g,array_x,1)); > # emit pre mult $eq_no = 1 i = 3 > array_tmp2[3] := ats(3,array_m1,array_tmp1,1); > #emit pre add $eq_no = 1 i = 3 > array_tmp3[3] := array_const_0D0[3] + array_tmp2[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if not array_y2_set_initial[1,6] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[3] * (glob_h ^ (3)) * factorial_3(2,5); > array_y2[6] := temporary; > array_y2_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,5] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,4] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > # emit pre mult $eq_no = 2 i = 3 > array_tmp5[3] := ats(3,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 3 > array_tmp6[3] := array_tmp5[3] + array_const_1D0[3]; > #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5 > if not array_y1_set_initial[2,4] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[3] * (glob_h ^ (1)) * factorial_3(2,3); > array_y1[4] := temporary; > array_y1_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre cos $eq_no = 1 > array_tmp1_g[4] := (att(3,array_tmp1,array_x,1)); > array_tmp1[4] := (-att(3,array_tmp1_g,array_x,1)); > # emit pre mult $eq_no = 1 i = 4 > array_tmp2[4] := ats(4,array_m1,array_tmp1,1); > #emit pre add $eq_no = 1 i = 4 > array_tmp3[4] := array_const_0D0[4] + array_tmp2[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if not array_y2_set_initial[1,7] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[4] * (glob_h ^ (3)) * factorial_3(3,6); > array_y2[7] := temporary; > array_y2_higher[1,7] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,6] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,5] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > # emit pre mult $eq_no = 2 i = 4 > array_tmp5[4] := ats(4,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 4 > array_tmp6[4] := array_tmp5[4] + array_const_1D0[4]; > #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5 > if not array_y1_set_initial[2,5] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[4] * (glob_h ^ (1)) * factorial_3(3,4); > array_y1[5] := temporary; > array_y1_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre cos $eq_no = 1 > array_tmp1_g[5] := (att(4,array_tmp1,array_x,1)); > array_tmp1[5] := (-att(4,array_tmp1_g,array_x,1)); > # emit pre mult $eq_no = 1 i = 5 > array_tmp2[5] := ats(5,array_m1,array_tmp1,1); > #emit pre add $eq_no = 1 i = 5 > array_tmp3[5] := array_const_0D0[5] + array_tmp2[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if not array_y2_set_initial[1,8] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[5] * (glob_h ^ (3)) * factorial_3(4,7); > array_y2[8] := temporary; > array_y2_higher[1,8] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,7] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,6] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > # emit pre mult $eq_no = 2 i = 5 > array_tmp5[5] := ats(5,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 5 > array_tmp6[5] := array_tmp5[5] + array_const_1D0[5]; > #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5 > if not array_y1_set_initial[2,6] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[5] * (glob_h ^ (1)) * factorial_3(4,5); > array_y1[6] := temporary; > array_y1_higher[1,6] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit cos $eq_no = 1 > array_tmp1_g[kkk] := (att(kkk-1,array_tmp1,array_x,1)); > array_tmp1[kkk] := (-att(kkk-1,array_tmp1_g,array_x,1)); > #emit mult $eq_no = 1 > array_tmp2[kkk] := ats(kkk,array_m1,array_tmp1,1); > #emit add $eq_no = 1 > array_tmp3[kkk] := array_const_0D0[kkk] + array_tmp2[kkk]; > #emit assign $eq_no = 1 > order_d := 3; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y2_set_initial[1,kkk + order_d] then # if number 2 > temporary := array_tmp3[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y2[kkk + order_d] := temporary; > array_y2_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := 2; > while (adj2 <= order_d + 1) and (term >= 1) do # do number 2 > temporary := temporary / glob_h * convfp(adj2); > array_y2_higher[adj2,term] := temporary; > adj2 := adj2 + 1; > term := term - 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1 > ; > #emit mult $eq_no = 2 > array_tmp5[kkk] := ats(kkk,array_m1,array_y2,1); > #emit add $eq_no = 2 > array_tmp6[kkk] := array_tmp5[kkk] + array_const_1D0[kkk]; > #emit assign $eq_no = 2 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if not array_y1_set_initial[2,kkk + order_d] then # if number 2 > temporary := array_tmp6[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y1[kkk + order_d] := temporary; > array_y1_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := 2; > while (adj2 <= order_d + 1) and (term >= 1) do # do number 2 > temporary := temporary / glob_h * convfp(adj2); > array_y1_higher[adj2,term] := temporary; > adj2 := adj2 + 1; > term := term - 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1 > ; > kkk := kkk + 1; > od;# end do number 1 > ; > #BOTTOM ATOMALL > #END OUTFILE4 > #BEGIN OUTFILE5 > # End Function number 8 > end; atomall := proc() local kkk, order_d, adj2, temporary, term; global INFO, glob_iolevel, glob_max_terms, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_start, glob_unchanged_h_cnt, glob_no_eqs, glob_abserr, glob_small_float, glob_max_iter, glob_max_hours, glob_log10_abserr, glob_look_poles, glob_optimal_done, glob_not_yet_finished, glob_max_opt_iter, glob_normmax, glob_last_good_h, glob_reached_optimal_h, glob_initial_pass, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, glob_max_trunc_err, glob_disp_incr, years_in_century, djd_debug, glob_optimal_expect_sec, glob_iter, MAX_UNCHANGED, glob_orig_start_sec, glob_warned2, glob_large_float, glob_hmin_init, glob_hmin, glob_clock_sec, centuries_in_millinium, glob_display_flag, glob_max_sec, glob_warned, glob_optimal_clock_start_sec, glob_h, min_in_hour, sec_in_min, glob_html_log, glob_log10abserr, glob_smallish_float, glob_log10normmin, glob_optimal_start, glob_log10_relerr, glob_dump_analytic, glob_hmax, glob_almost_1, days_in_year, glob_max_rel_trunc_err, glob_current_iter, glob_curr_iter_when_opt, glob_relerr, glob_not_yet_start_msg, glob_clock_start_sec, hours_in_day, glob_dump, glob_percent_done, array_const_1D0, array_const_1, array_const_3, array_const_0D0, array_last_rel_error, array_norms, array_y1_init, array_y2_init, array_tmp1_g, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_type_pole, array_1st_rel_error, array_pole, array_m1, array_y2, array_y1, array_y1_higher_work2, array_complex_pole, array_y2_set_initial, array_y2_higher_work, array_y1_higher, array_real_pole, array_poles, array_y2_higher, array_y2_higher_work2, array_y1_set_initial, array_y1_higher_work, glob_last; array_tmp1_g[1] := sin(array_x[1]); array_tmp1[1] := cos(array_x[1]); array_tmp2[1] := array_m1[1]*array_tmp1[1]; array_tmp3[1] := array_const_0D0[1] + array_tmp2[1]; if not array_y2_set_initial[1, 4] then if 1 <= glob_max_terms then temporary := array_tmp3[1]*glob_h^3*factorial_3(0, 3); array_y2[4] := temporary; array_y2_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 3] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 2] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 1] := temporary end if end if; kkk := 2; array_tmp5[1] := array_m1[1]*array_y2[1]; array_tmp6[1] := array_tmp5[1] + array_const_1D0[1]; if not array_y1_set_initial[2, 2] then if 1 <= glob_max_terms then temporary := array_tmp6[1]*glob_h*factorial_3(0, 1); array_y1[2] := temporary; array_y1_higher[1, 2] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1_g[2] := att(1, array_tmp1, array_x, 1); array_tmp1[2] := -att(1, array_tmp1_g, array_x, 1); array_tmp2[2] := ats(2, array_m1, array_tmp1, 1); array_tmp3[2] := array_const_0D0[2] + array_tmp2[2]; if not array_y2_set_initial[1, 5] then if 2 <= glob_max_terms then temporary := array_tmp3[2]*glob_h^3*factorial_3(1, 4); array_y2[5] := temporary; array_y2_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 4] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 3] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 2] := temporary end if end if; kkk := 3; array_tmp5[2] := ats(2, array_m1, array_y2, 1); array_tmp6[2] := array_tmp5[2] + array_const_1D0[2]; if not array_y1_set_initial[2, 3] then if 2 <= glob_max_terms then temporary := array_tmp6[2]*glob_h*factorial_3(1, 2); array_y1[3] := temporary; array_y1_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp1_g[3] := att(2, array_tmp1, array_x, 1); array_tmp1[3] := -att(2, array_tmp1_g, array_x, 1); array_tmp2[3] := ats(3, array_m1, array_tmp1, 1); array_tmp3[3] := array_const_0D0[3] + array_tmp2[3]; if not array_y2_set_initial[1, 6] then if 3 <= glob_max_terms then temporary := array_tmp3[3]*glob_h^3*factorial_3(2, 5); array_y2[6] := temporary; array_y2_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 5] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 4] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 3] := temporary end if end if; kkk := 4; array_tmp5[3] := ats(3, array_m1, array_y2, 1); array_tmp6[3] := array_tmp5[3] + array_const_1D0[3]; if not array_y1_set_initial[2, 4] then if 3 <= glob_max_terms then temporary := array_tmp6[3]*glob_h*factorial_3(2, 3); array_y1[4] := temporary; array_y1_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp1_g[4] := att(3, array_tmp1, array_x, 1); array_tmp1[4] := -att(3, array_tmp1_g, array_x, 1); array_tmp2[4] := ats(4, array_m1, array_tmp1, 1); array_tmp3[4] := array_const_0D0[4] + array_tmp2[4]; if not array_y2_set_initial[1, 7] then if 4 <= glob_max_terms then temporary := array_tmp3[4]*glob_h^3*factorial_3(3, 6); array_y2[7] := temporary; array_y2_higher[1, 7] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 6] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 5] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 4] := temporary end if end if; kkk := 5; array_tmp5[4] := ats(4, array_m1, array_y2, 1); array_tmp6[4] := array_tmp5[4] + array_const_1D0[4]; if not array_y1_set_initial[2, 5] then if 4 <= glob_max_terms then temporary := array_tmp6[4]*glob_h*factorial_3(3, 4); array_y1[5] := temporary; array_y1_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp1_g[5] := att(4, array_tmp1, array_x, 1); array_tmp1[5] := -att(4, array_tmp1_g, array_x, 1); array_tmp2[5] := ats(5, array_m1, array_tmp1, 1); array_tmp3[5] := array_const_0D0[5] + array_tmp2[5]; if not array_y2_set_initial[1, 8] then if 5 <= glob_max_terms then temporary := array_tmp3[5]*glob_h^3*factorial_3(4, 7); array_y2[8] := temporary; array_y2_higher[1, 8] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 7] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 6] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 5] := temporary end if end if; kkk := 6; array_tmp5[5] := ats(5, array_m1, array_y2, 1); array_tmp6[5] := array_tmp5[5] + array_const_1D0[5]; if not array_y1_set_initial[2, 6] then if 5 <= glob_max_terms then temporary := array_tmp6[5]*glob_h*factorial_3(4, 5); array_y1[6] := temporary; array_y1_higher[1, 6] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp1_g[kkk] := att(kkk - 1, array_tmp1, array_x, 1); array_tmp1[kkk] := -att(kkk - 1, array_tmp1_g, array_x, 1); array_tmp2[kkk] := ats(kkk, array_m1, array_tmp1, 1); array_tmp3[kkk] := array_const_0D0[kkk] + array_tmp2[kkk]; order_d := 3; if kkk + order_d + 1 <= glob_max_terms then if not array_y2_set_initial[1, kkk + order_d] then temporary := array_tmp3[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y2[kkk + order_d] := temporary; array_y2_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := 2; while adj2 <= order_d + 1 and 1 <= term do temporary := temporary*convfp(adj2)/glob_h; array_y2_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; array_tmp5[kkk] := ats(kkk, array_m1, array_y2, 1); array_tmp6[kkk] := array_tmp5[kkk] + array_const_1D0[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y1_set_initial[2, kkk + order_d] then temporary := array_tmp6[kkk]*glob_h^order_d/ factorial_3(kkk - 1, kkk + order_d - 1); array_y1[kkk + order_d] := temporary; array_y1_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := 2; while adj2 <= order_d + 1 and 1 <= term do temporary := temporary*convfp(adj2)/glob_h; array_y1_higher[adj2, term] := temporary; adj2 := adj2 + 1; term := term - 1 end do end if end if; kkk := kkk + 1 end do end proc > #BEGIN ATS LIBRARY BLOCK > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s\n",str); > fi; > # End Function number 1 > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > printf("%s",str); > fi; > # End Function number 1 > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(label,str); > fi; > # End Function number 1 > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi; > fi; > # End Function number 1 > end; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > if vallen = 5 then > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi; > fi; > # End Function number 1 > end; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then > print(prelabel,"[",elemnt,"]",value, postlabel); > fi; > # End Function number 1 > end; omniout_float_arr := proc( iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then print(prelabel, "[", elemnt, "]", value, postlabel) end if end proc > dump_series := proc(iolevel,dump_label,series_name, > array_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then > i := 1; > while (i <= numb) do > print(dump_label,series_name > ,i,array_series[i]); > i := i + 1; > od; > fi; > # End Function number 1 > end; dump_series := proc(iolevel, dump_label, series_name, array_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, array_series[i]); i := i + 1 end do end if end proc > dump_series_2 := proc(iolevel,dump_label,series_name2, > array_series2,numb,subnum,array_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then > sub := 1; > while (sub <= subnum) do > i := 1; > while (i <= numb) do > print(dump_label,series_name2,sub,i,array_series2[sub,i]); > od; > sub := sub + 1; > od; > fi; > # End Function number 1 > end; dump_series_2 := proc( iolevel, dump_label, series_name2, array_series2, numb, subnum, array_x) local i, sub, ts_term; global glob_iolevel; if iolevel <= glob_iolevel then sub := 1; while sub <= subnum do i := 1; while i <= numb do print(dump_label, series_name2, sub, i, array_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= iolevel) then > print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h) > fi; > # End Function number 1 > end; cs_info := proc(iolevel, str) global glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h; if iolevel <= glob_iolevel then print("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h) end if end proc > # Begin Function number 2 > logitem_time := proc(fd,secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := (secs_in); > if (secs > 0.0) then # if number 1 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > fprintf(fd,""); > if (millinium_int > 0) then # if number 2 > fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 3 > fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 4 > fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int); > elif (days_int > 0) then # if number 5 > fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int); > elif (hours_int > 0) then # if number 6 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 7 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 7 > else > fprintf(fd,"Unknown"); > fi;# end if 6 > fprintf(fd,""); > # End Function number 2 > end; logitem_time := proc(fd, secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := secs_in; if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); fprintf(fd, ""); if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\ d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then fprintf(fd, "%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < years_int then fprintf(fd, "%d Years %d Days %d Hours %d Minutes %d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then fprintf(fd, "%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then fprintf(fd, "%d Hours %d Minutes %d Seconds", hours_int, minutes_int, sec_int) elif 0 < minutes_int then fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int) else fprintf(fd, "%d Seconds", sec_int) end if else fprintf(fd, "Unknown") end if; fprintf(fd, "") end proc > omniout_timestr := proc (secs_in) > global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; > local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; > secs := convfloat(secs_in); > if (secs > 0.0) then # if number 6 > sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium); > milliniums := convfloat(secs / sec_in_millinium); > millinium_int := floor(milliniums); > centuries := (milliniums - millinium_int)*centuries_in_millinium; > cent_int := floor(centuries); > years := (centuries - cent_int) * years_in_century; > years_int := floor(years); > days := (years - years_int) * days_in_year; > days_int := floor(days); > hours := (days - days_int) * hours_in_day; > hours_int := floor(hours); > minutes := (hours - hours_int) * min_in_hour; > minutes_int := floor(minutes); > seconds := (minutes - minutes_int) * sec_in_min; > sec_int := floor(seconds); > > if (millinium_int > 0) then # if number 7 > printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (cent_int > 0) then # if number 8 > printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int); > elif (years_int > 0) then # if number 9 > printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int); > elif (days_int > 0) then # if number 10 > printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int); > elif (hours_int > 0) then # if number 11 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif (minutes_int > 0) then # if number 12 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 12 > else > printf(" Unknown\n"); > fi;# end if 11 > # End Function number 2 > end; omniout_timestr := proc(secs_in) local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int; global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century; secs := convfloat(secs_in); if 0. < secs then sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day* days_in_year*years_in_century*centuries_in_millinium); milliniums := convfloat(secs/sec_in_millinium); millinium_int := floor(milliniums); centuries := (milliniums - millinium_int)*centuries_in_millinium; cent_int := floor(centuries); years := (centuries - cent_int)*years_in_century; years_int := floor(years); days := (years - years_int)*days_in_year; days_int := floor(days); hours := (days - days_int)*hours_in_day; hours_int := floor(hours); minutes := (hours - hours_int)*min_in_hour; minutes_int := floor(minutes); seconds := (minutes - minutes_int)*sec_in_min; sec_int := floor(seconds); if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\ Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \ %d Hours %d Minutes %d Seconds\n", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" Unknown\n") end if end proc > > # Begin Function number 3 > ats := proc( > mmm_ats,array_a,array_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 11 > ma_ats := mmm_ats + 1; > iii_ats := jjj_ats; > while (iii_ats <= mmm_ats) do # do number 1 > lll_ats := ma_ats - iii_ats; > ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 11 > ; > ret_ats > # End Function number 3 > end; ats := proc(mmm_ats, array_a, array_b, jjj_ats) local iii_ats, lll_ats, ma_ats, ret_ats; ret_ats := 0.; if jjj_ats <= mmm_ats then ma_ats := mmm_ats + 1; iii_ats := jjj_ats; while iii_ats <= mmm_ats do lll_ats := ma_ats - iii_ats; ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > > # Begin Function number 4 > att := proc( > mmm_att,array_aa,array_bb,jjj_att) > global glob_max_terms; > local al_att, iii_att,lll_att, ma_att, ret_att; > ret_att := 0.0; > if (jjj_att <= mmm_att) then # if number 11 > ma_att := mmm_att + 2; > iii_att := jjj_att; > while (iii_att <= mmm_att) do # do number 1 > lll_att := ma_att - iii_att; > al_att := (lll_att - 1); > if (lll_att <= glob_max_terms) then # if number 12 > ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att); > fi;# end if 12 > ; > iii_att := iii_att + 1; > od;# end do number 1 > ; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 11 > ; > ret_att; > # End Function number 4 > end; att := proc(mmm_att, array_aa, array_bb, jjj_att) local al_att, iii_att, lll_att, ma_att, ret_att; global glob_max_terms; ret_att := 0.; if jjj_att <= mmm_att then ma_att := mmm_att + 2; iii_att := jjj_att; while iii_att <= mmm_att do lll_att := ma_att - iii_att; al_att := lll_att - 1; if lll_att <= glob_max_terms then ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]*convfp(al_att) end if; iii_att := iii_att + 1 end do; ret_att := ret_att/convfp(mmm_att) end if; ret_att end proc > # Begin Function number 5 > display_pole := proc() > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 11 > omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," "); > omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," "); > fi;# end if 11 > # End Function number 5 > end; display_pole := proc() global ALWAYS, glob_display_flag, glob_large_float, array_pole; if array_pole[1] <> glob_large_float and 0. < array_pole[1] and array_pole[2] <> glob_large_float and 0. < array_pole[2] and glob_display_flag then omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole[1], 4, " "); omniout_float(ALWAYS, "Order of pole ", 4, array_pole[2], 4, " ") end if end proc > # Begin Function number 6 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > # End Function number 6 > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # Begin Function number 7 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > # End Function number 7 > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # Begin Function number 8 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > # End Function number 8 > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # Begin Function number 9 > log_revs := proc(file,revs) > fprintf(file,revs); > # End Function number 9 > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # Begin Function number 10 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > # End Function number 10 > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # Begin Function number 11 > logitem_pole := proc(file,pole) > fprintf(file,""); > if pole = 0 then # if number 11 > fprintf(file,"NA"); > elif pole = 1 then # if number 12 > fprintf(file,"Real"); > elif pole = 2 then # if number 13 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 13 > fprintf(file,""); > # End Function number 11 > end; logitem_pole := proc(file, pole) fprintf(file, ""); if pole = 0 then fprintf(file, "NA") elif pole = 1 then fprintf(file, "Real") elif pole = 2 then fprintf(file, "Complex") else fprintf(file, "No Pole") end if; fprintf(file, "") end proc > # Begin Function number 12 > logstart := proc(file) > fprintf(file,""); > # End Function number 12 > end; logstart := proc(file) fprintf(file, "") end proc > # Begin Function number 13 > logend := proc(file) > fprintf(file,"\n"); > # End Function number 13 > end; logend := proc(file) fprintf(file, "\n") end proc > # Begin Function number 14 > chk_data := proc() > global glob_max_iter,ALWAYS, glob_max_terms; > local errflag; > errflag := false; > > if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 13 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 13 > ; > if (glob_max_iter < 2) then # if number 13 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 13 > ; > if (errflag) then # if number 13 > > quit; > fi;# end if 13 > # End Function number 14 > end; chk_data := proc() local errflag; global glob_max_iter, ALWAYS, glob_max_terms; errflag := false; if glob_max_terms < 15 or 512 < glob_max_terms then omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"); glob_max_terms := 30 end if; if glob_max_iter < 2 then omniout_str(ALWAYS, "Illegal max_iter"); errflag := true end if; if errflag then quit end if end proc > > # Begin Function number 15 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 13 > sec_left := 0.0; > else > if (abs(sub2) > 0.0) then # if number 14 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 14 > fi;# end if 13 > ; > sec_left; > # End Function number 15 > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > > # Begin Function number 16 > comp_percent := proc(t_end2,t_start2,t2) > global glob_small_float; > local rrr, sub1, sub2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (abs(sub2) > glob_small_float) then # if number 13 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 13 > ; > rrr > # End Function number 16 > end; comp_percent := proc(t_end2, t_start2, t2) local rrr, sub1, sub2; global glob_small_float; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if glob_small_float < abs(sub2) then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > > # Begin Function number 17 > factorial_1 := proc(nnn) > nnn!; > > # End Function number 17 > end; factorial_1 := proc(nnn) nnn! end proc > > # Begin Function number 18 > factorial_3 := proc(mmm2,nnn2) > (mmm2!)/(nnn2!); > > # End Function number 18 > end; factorial_3 := proc(mmm2, nnn2) mmm2!/nnn2! end proc > # Begin Function number 19 > convfp := proc(mmm) > (mmm); > > # End Function number 19 > end; convfp := proc(mmm) mmm end proc > # Begin Function number 20 > convfloat := proc(mmm) > (mmm); > > # End Function number 20 > end; convfloat := proc(mmm) mmm end proc > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > > > > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y2 := proc(x) > 1.0 + cos(x); > end; exact_soln_y2 := proc(x) 1.0 + cos(x) end proc > exact_soln_y2p := proc(x) > -sin(x); > end; exact_soln_y2p := proc(x) -sin(x) end proc > exact_soln_y2pp := proc(x) > -cos(x); > end; exact_soln_y2pp := proc(x) -cos(x) end proc > exact_soln_y1 := proc(x) > 1.0 - sin(x); > end; exact_soln_y1 := proc(x) 1.0 - sin(x) end proc > > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > mainprog := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, log10norm, max_terms, opt_iter, tmp; > #Top Generate Globals Definition > #Bottom Generate Globals Deninition > global > INFO, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > DEBUGL, > ALWAYS, > #Top Generate Globals Decl > glob_start, > glob_unchanged_h_cnt, > glob_no_eqs, > glob_abserr, > glob_small_float, > glob_max_iter, > glob_max_hours, > glob_log10_abserr, > glob_look_poles, > glob_optimal_done, > glob_not_yet_finished, > glob_max_opt_iter, > glob_normmax, > glob_last_good_h, > glob_reached_optimal_h, > glob_initial_pass, > djd_debug2, > glob_subiter_method, > glob_max_minutes, > glob_log10relerr, > glob_max_trunc_err, > glob_disp_incr, > years_in_century, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > MAX_UNCHANGED, > glob_orig_start_sec, > glob_warned2, > glob_large_float, > glob_hmin_init, > glob_hmin, > glob_clock_sec, > centuries_in_millinium, > glob_display_flag, > glob_max_sec, > glob_warned, > glob_optimal_clock_start_sec, > glob_h, > min_in_hour, > sec_in_min, > glob_html_log, > glob_log10abserr, > glob_smallish_float, > glob_log10normmin, > glob_optimal_start, > glob_log10_relerr, > glob_dump_analytic, > glob_hmax, > glob_almost_1, > days_in_year, > glob_max_rel_trunc_err, > glob_current_iter, > glob_curr_iter_when_opt, > glob_relerr, > glob_not_yet_start_msg, > glob_clock_start_sec, > hours_in_day, > glob_dump, > glob_percent_done, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_1, > array_const_3, > array_const_0D0, > #END CONST > array_last_rel_error, > array_norms, > array_y1_init, > array_y2_init, > array_tmp1_g, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_type_pole, > array_1st_rel_error, > array_pole, > array_m1, > array_y2, > array_y1, > array_y1_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_y2_higher_work, > array_y1_higher, > array_real_pole, > array_poles, > array_y2_higher, > array_y2_higher_work2, > array_y1_set_initial, > array_y1_higher_work, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > INFO := 2; > glob_iolevel := 5; > glob_max_terms := 30; > DEBUGMASSIVE := 4; > DEBUGL := 3; > ALWAYS := 1; > glob_start := 0; > glob_unchanged_h_cnt := 0; > glob_no_eqs := 0; > glob_abserr := 0.1e-10; > glob_small_float := 0.1e-50; > glob_max_iter := 1000; > glob_max_hours := 0.0; > glob_log10_abserr := 0.1e-10; > glob_look_poles := false; > glob_optimal_done := false; > glob_not_yet_finished := true; > glob_max_opt_iter := 10; > glob_normmax := 0.0; > glob_last_good_h := 0.1; > glob_reached_optimal_h := false; > glob_initial_pass := true; > djd_debug2 := true; > glob_subiter_method := 3; > glob_max_minutes := 0.0; > glob_log10relerr := 0.0; > glob_max_trunc_err := 0.1e-10; > glob_disp_incr := 0.1; > years_in_century := 100.0; > djd_debug := true; > glob_optimal_expect_sec := 0.1; > glob_iter := 0; > MAX_UNCHANGED := 10; > glob_orig_start_sec := 0.0; > glob_warned2 := false; > glob_large_float := 9.0e100; > glob_hmin_init := 0.001; > glob_hmin := 0.00000000001; > glob_clock_sec := 0.0; > centuries_in_millinium := 10.0; > glob_display_flag := true; > glob_max_sec := 10000.0; > glob_warned := false; > glob_optimal_clock_start_sec := 0.0; > glob_h := 0.1; > min_in_hour := 60.0; > sec_in_min := 60.0; > glob_html_log := true; > glob_log10abserr := 0.0; > glob_smallish_float := 0.1e-100; > glob_log10normmin := 0.1; > glob_optimal_start := 0.0; > glob_log10_relerr := 0.1e-10; > glob_dump_analytic := false; > glob_hmax := 1.0; > glob_almost_1 := 0.9990; > days_in_year := 365.0; > glob_max_rel_trunc_err := 0.1e-10; > glob_current_iter := 0; > glob_curr_iter_when_opt := 0; > glob_relerr := 0.1e-10; > glob_not_yet_start_msg := true; > glob_clock_start_sec := 0.0; > hours_in_day := 24.0; > glob_dump := false; > glob_percent_done := 0.0; > #Write Set Defaults > glob_orig_start_sec := elapsed_time_seconds(); > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_display_flag := true; > glob_no_eqs := 2; > glob_iter := -1; > opt_iter := -1; > glob_max_iter := 50000; > glob_max_hours := 0.0; > glob_max_minutes := 15.0; > omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################"); > omniout_str(ALWAYS,"##############temp/mtest4postode.ode#################"); > omniout_str(ALWAYS,"diff ( y2 , x , 3 ) = m1 * cos(x) ;"); > omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits := 32;"); > omniout_str(ALWAYS,"max_terms := 30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := 0.1;"); > omniout_str(ALWAYS,"x_end := 5.0;"); > omniout_str(ALWAYS,"glob_h := 0.00001;"); > omniout_str(ALWAYS,"array_y1_init[0 + 1] := exact_soln_y1(x_start);"); > omniout_str(ALWAYS,"array_y2_init[0 + 1] := exact_soln_y2(x_start);"); > omniout_str(ALWAYS,"array_y2_init[1 + 1] := exact_soln_y2p(x_start);"); > omniout_str(ALWAYS,"array_y2_init[2 + 1] := exact_soln_y2pp(x_start);"); > omniout_str(ALWAYS,"glob_max_iter := 20;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_h := 0.0001 ;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000;"); > omniout_str(ALWAYS,"glob_max_minutes := 15;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y2 := proc(x)"); > omniout_str(ALWAYS,"1.0 + cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2p := proc(x)"); > omniout_str(ALWAYS,"-sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2pp := proc(x)"); > omniout_str(ALWAYS,"-cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y1 := proc(x)"); > omniout_str(ALWAYS,"1.0 - sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > glob_log10_abserr := -8.0; > glob_log10_relerr := -8.0; > glob_hmax := 0.01; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits := 32; > max_terms := 30; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_last_rel_error:= Array(1..(max_terms + 1),[]); > array_norms:= Array(1..(max_terms + 1),[]); > array_y1_init:= Array(1..(max_terms + 1),[]); > array_y2_init:= Array(1..(max_terms + 1),[]); > array_tmp1_g:= Array(1..(max_terms + 1),[]); > array_x:= Array(1..(max_terms + 1),[]); > array_tmp0:= Array(1..(max_terms + 1),[]); > array_tmp1:= Array(1..(max_terms + 1),[]); > array_tmp2:= Array(1..(max_terms + 1),[]); > array_tmp3:= Array(1..(max_terms + 1),[]); > array_tmp4:= Array(1..(max_terms + 1),[]); > array_tmp5:= Array(1..(max_terms + 1),[]); > array_tmp6:= Array(1..(max_terms + 1),[]); > array_type_pole:= Array(1..(max_terms + 1),[]); > array_1st_rel_error:= Array(1..(max_terms + 1),[]); > array_pole:= Array(1..(max_terms + 1),[]); > array_m1:= Array(1..(max_terms + 1),[]); > array_y2:= Array(1..(max_terms + 1),[]); > array_y1:= Array(1..(max_terms + 1),[]); > array_y1_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_complex_pole := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_y2_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher_work := Array(1..(4+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_real_pole := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_poles := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_y2_higher := Array(1..(4+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher_work2 := Array(1..(4+ 1) ,(1..max_terms+ 1),[]); > array_y1_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y2_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp1_g[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=3 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=4 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 3 do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=4 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=4 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y2_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=3 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_tmp1_g := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp1_g[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp6 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0[1] := 1.0; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1[1] := 1; > array_const_3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_3[1] := 3; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_0D0[1] := 0.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 0.1; > x_end := 5.0; > glob_h := 0.00001; > array_y1_init[0 + 1] := exact_soln_y1(x_start); > array_y2_init[0 + 1] := exact_soln_y2(x_start); > array_y2_init[1 + 1] := exact_soln_y2p(x_start); > array_y2_init[2 + 1] := exact_soln_y2pp(x_start); > glob_max_iter := 20; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_h := 0.0001 ; > glob_look_poles := true; > glob_max_iter := 1000; > glob_max_minutes := 15; > #END OVERRIDE BLOCK > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_terms := max_terms; > glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours); > glob_abserr := 10.0 ^ (glob_log10_abserr); > glob_relerr := 10.0 ^ (glob_log10_relerr); > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_y2_set_initial[1,1] := true; > array_y2_set_initial[1,2] := true; > array_y2_set_initial[1,3] := true; > array_y2_set_initial[1,4] := false; > array_y2_set_initial[1,5] := false; > array_y2_set_initial[1,6] := false; > array_y2_set_initial[1,7] := false; > array_y2_set_initial[1,8] := false; > array_y2_set_initial[1,9] := false; > array_y2_set_initial[1,10] := false; > array_y2_set_initial[1,11] := false; > array_y2_set_initial[1,12] := false; > array_y2_set_initial[1,13] := false; > array_y2_set_initial[1,14] := false; > array_y2_set_initial[1,15] := false; > array_y2_set_initial[1,16] := false; > array_y2_set_initial[1,17] := false; > array_y2_set_initial[1,18] := false; > array_y2_set_initial[1,19] := false; > array_y2_set_initial[1,20] := false; > array_y2_set_initial[1,21] := false; > array_y2_set_initial[1,22] := false; > array_y2_set_initial[1,23] := false; > array_y2_set_initial[1,24] := false; > array_y2_set_initial[1,25] := false; > array_y2_set_initial[1,26] := false; > array_y2_set_initial[1,27] := false; > array_y2_set_initial[1,28] := false; > array_y2_set_initial[1,29] := false; > array_y2_set_initial[1,30] := false; > array_y1_set_initial[2,1] := true; > array_y1_set_initial[2,2] := false; > array_y1_set_initial[2,3] := false; > array_y1_set_initial[2,4] := false; > array_y1_set_initial[2,5] := false; > array_y1_set_initial[2,6] := false; > array_y1_set_initial[2,7] := false; > array_y1_set_initial[2,8] := false; > array_y1_set_initial[2,9] := false; > array_y1_set_initial[2,10] := false; > array_y1_set_initial[2,11] := false; > array_y1_set_initial[2,12] := false; > array_y1_set_initial[2,13] := false; > array_y1_set_initial[2,14] := false; > array_y1_set_initial[2,15] := false; > array_y1_set_initial[2,16] := false; > array_y1_set_initial[2,17] := false; > array_y1_set_initial[2,18] := false; > array_y1_set_initial[2,19] := false; > array_y1_set_initial[2,20] := false; > array_y1_set_initial[2,21] := false; > array_y1_set_initial[2,22] := false; > array_y1_set_initial[2,23] := false; > array_y1_set_initial[2,24] := false; > array_y1_set_initial[2,25] := false; > array_y1_set_initial[2,26] := false; > array_y1_set_initial[2,27] := false; > array_y1_set_initial[2,28] := false; > array_y1_set_initial[2,29] := false; > array_y1_set_initial[2,30] := false; > if glob_html_log then # if number 3 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 3 > ; > #BEGIN SOLUTION CODE > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > order_diff := 3; > #Start Series array_y2 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y2[term_no] := array_y2_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2 > ; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y2_higher[r_order,term_no] := array_y2_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3 > ; > r_order := r_order + 1; > od;# end do number 2 > ; > order_diff := 1; > #Start Series array_y1 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y1[term_no] := array_y1_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2 > ; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y1_higher[r_order,term_no] := array_y1_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3 > ; > r_order := r_order + 1; > od;# end do number 2 > ; > current_iter := 1; > glob_clock_start_sec := elapsed_time_seconds(); > start_array_y2(); > if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 3 > tmp := abs(array_y2_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3 > ; > display_alot(current_iter) > ; > start_array_y1(); > if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 3 > tmp := abs(array_y1_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3 > ; > display_alot(current_iter) > ; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > if glob_subiter_method = 1 then # if number 3 > atomall(); > elif glob_subiter_method = 2 then # if number 4 > subiter := 1; > while subiter <= 4 do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > else > subiter := 1; > while subiter <= 4 + glob_max_terms do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > fi;# end if 4 > ; > if (glob_look_poles) then # if number 4 > #left paren 0004C > check_for_pole(); > fi;# end if 4 > ;#was right paren 0004C > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y2 > order_diff := 3; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y2 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 4; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[4,iii] := array_y2_higher[4,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 4; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 3; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 3; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 4; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 4; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y2[term_no] := array_y2_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y2_higher[ord,term_no] := array_y2_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4 > ; > term_no := term_no - 1; > od;# end do number 3 > ; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > #Jump Series array_y1 > order_diff := 1; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =2 > #sum_and_adjust array_y1 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[2,iii] := array_y1_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3 > ; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3 > ; > array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!); > #AFTER SUM SUBSERIES EQ =2 > #END SUM AND ADJUST EQ =2 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y1[term_no] := array_y1_higher_work2[1,term_no]; > ord := 1; > while ord <= order_diff do # do number 4 > array_y1_higher[ord,term_no] := array_y1_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4 > ; > term_no := term_no - 1; > od;# end do number 3 > ; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > display_alot(current_iter) > ; > od;# end do number 2 > ;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 4 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!") > fi;# end if 4 > ; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 4 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!") > fi;# end if 4 > ; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y2 , x , 3 ) = m1 * cos(x) ;"); > omniout_str(INFO,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if glob_html_log then # if number 4 > logstart(html_log_file); > logitem_str(html_log_file,"2012-06-13T14:57:49-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"mtest4") > ; > logitem_str(html_log_file,"diff ( y2 , x , 3 ) = m1 * cos(x) ;") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > logitem_integer(html_log_file,glob_max_terms) > ; > logitem_float(html_log_file,array_1st_rel_error[1]) > ; > logitem_float(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_iter) > ; > logitem_pole(html_log_file,array_type_pole[1]) > ; > if array_type_pole[1] = 1 or array_type_pole[1] = 2 then # if number 5 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 5 > ; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if glob_percent_done < 100.0 then # if number 5 > logitem_time(html_log_file,convfloat(glob_optimal_expect_sec)) > ; > 0 > else > logitem_str(html_log_file,"Done") > ; > 0 > fi;# end if 5 > ; > log_revs(html_log_file," 090 ") > ; > logitem_str(html_log_file,"mtest4 diffeq.mxt") > ; > logitem_str(html_log_file,"mtest4 maple results") > ; > logitem_str(html_log_file,"Test of revised logic - mostly affecting systems of eqs") > ; > logend(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logitem_str(html_log_file,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;") > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > ; > logditto(html_log_file) > ; > logitem_float(html_log_file,array_1st_rel_error[2]) > ; > logitem_float(html_log_file,array_last_rel_error[2]) > ; > logditto(html_log_file) > ; > logitem_pole(html_log_file,array_type_pole[2]) > ; > if array_type_pole[2] = 1 or array_type_pole[2] = 2 then # if number 5 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 5 > ; > logditto(html_log_file) > ; > if glob_percent_done < 100.0 then # if number 5 > logditto(html_log_file) > ; > 0 > else > logditto(html_log_file) > ; > 0 > fi;# end if 5 > ; > logditto(html_log_file); > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logend(html_log_file) > ; > ; > fi;# end if 4 > ; > if glob_html_log then # if number 4 > fclose(html_log_file); > fi;# end if 4 > ; > ;; > #END OUTFILEMAIN > # End Function number 8 > end; Warning, `subiter` is implicitly declared local to procedure `mainprog` mainprog := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter, tmp, subiter; global INFO, glob_iolevel, glob_max_terms, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_start, glob_unchanged_h_cnt, glob_no_eqs, glob_abserr, glob_small_float, glob_max_iter, glob_max_hours, glob_log10_abserr, glob_look_poles, glob_optimal_done, glob_not_yet_finished, glob_max_opt_iter, glob_normmax, glob_last_good_h, glob_reached_optimal_h, glob_initial_pass, djd_debug2, glob_subiter_method, glob_max_minutes, glob_log10relerr, glob_max_trunc_err, glob_disp_incr, years_in_century, djd_debug, glob_optimal_expect_sec, glob_iter, MAX_UNCHANGED, glob_orig_start_sec, glob_warned2, glob_large_float, glob_hmin_init, glob_hmin, glob_clock_sec, centuries_in_millinium, glob_display_flag, glob_max_sec, glob_warned, glob_optimal_clock_start_sec, glob_h, min_in_hour, sec_in_min, glob_html_log, glob_log10abserr, glob_smallish_float, glob_log10normmin, glob_optimal_start, glob_log10_relerr, glob_dump_analytic, glob_hmax, glob_almost_1, days_in_year, glob_max_rel_trunc_err, glob_current_iter, glob_curr_iter_when_opt, glob_relerr, glob_not_yet_start_msg, glob_clock_start_sec, hours_in_day, glob_dump, glob_percent_done, array_const_1D0, array_const_1, array_const_3, array_const_0D0, array_last_rel_error, array_norms, array_y1_init, array_y2_init, array_tmp1_g, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_type_pole, array_1st_rel_error, array_pole, array_m1, array_y2, array_y1, array_y1_higher_work2, array_complex_pole, array_y2_set_initial, array_y2_higher_work, array_y1_higher, array_real_pole, array_poles, array_y2_higher, array_y2_higher_work2, array_y1_set_initial, array_y1_higher_work, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; INFO := 2; glob_iolevel := 5; glob_max_terms := 30; DEBUGMASSIVE := 4; DEBUGL := 3; ALWAYS := 1; glob_start := 0; glob_unchanged_h_cnt := 0; glob_no_eqs := 0; glob_abserr := 0.1*10^(-10); glob_small_float := 0.1*10^(-50); glob_max_iter := 1000; glob_max_hours := 0.; glob_log10_abserr := 0.1*10^(-10); glob_look_poles := false; glob_optimal_done := false; glob_not_yet_finished := true; glob_max_opt_iter := 10; glob_normmax := 0.; glob_last_good_h := 0.1; glob_reached_optimal_h := false; glob_initial_pass := true; djd_debug2 := true; glob_subiter_method := 3; glob_max_minutes := 0.; glob_log10relerr := 0.; glob_max_trunc_err := 0.1*10^(-10); glob_disp_incr := 0.1; years_in_century := 100.0; djd_debug := true; glob_optimal_expect_sec := 0.1; glob_iter := 0; MAX_UNCHANGED := 10; glob_orig_start_sec := 0.; glob_warned2 := false; glob_large_float := 0.90*10^101; glob_hmin_init := 0.001; glob_hmin := 0.1*10^(-10); glob_clock_sec := 0.; centuries_in_millinium := 10.0; glob_display_flag := true; glob_max_sec := 10000.0; glob_warned := false; glob_optimal_clock_start_sec := 0.; glob_h := 0.1; min_in_hour := 60.0; sec_in_min := 60.0; glob_html_log := true; glob_log10abserr := 0.; glob_smallish_float := 0.1*10^(-100); glob_log10normmin := 0.1; glob_optimal_start := 0.; glob_log10_relerr := 0.1*10^(-10); glob_dump_analytic := false; glob_hmax := 1.0; glob_almost_1 := 0.9990; days_in_year := 365.0; glob_max_rel_trunc_err := 0.1*10^(-10); glob_current_iter := 0; glob_curr_iter_when_opt := 0; glob_relerr := 0.1*10^(-10); glob_not_yet_start_msg := true; glob_clock_start_sec := 0.; hours_in_day := 24.0; glob_dump := false; glob_percent_done := 0.; glob_orig_start_sec := elapsed_time_seconds(); MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_display_flag := true; glob_no_eqs := 2; glob_iter := -1; opt_iter := -1; glob_max_iter := 50000; glob_max_hours := 0.; glob_max_minutes := 15.0; omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"); omniout_str(ALWAYS, "##############temp/mtest4postode.ode#################"); omniout_str(ALWAYS, "diff ( y2 , x , 3 ) = m1 * cos(x) ;"); omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits := 32;"); omniout_str(ALWAYS, "max_terms := 30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := 0.1;"); omniout_str(ALWAYS, "x_end := 5.0;"); omniout_str(ALWAYS, "glob_h := 0.00001;"); omniout_str(ALWAYS, "array_y1_init[0 + 1] := exact_soln_y1(x_start);"); omniout_str(ALWAYS, "array_y2_init[0 + 1] := exact_soln_y2(x_start);"); omniout_str(ALWAYS, "array_y2_init[1 + 1] := exact_soln_y2p(x_start);") ; omniout_str(ALWAYS, "array_y2_init[2 + 1] := exact_soln_y2pp(x_start);") ; omniout_str(ALWAYS, "glob_max_iter := 20;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_h := 0.0001 ;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000;"); omniout_str(ALWAYS, "glob_max_minutes := 15;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y2 := proc(x)"); omniout_str(ALWAYS, "1.0 + cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2p := proc(x)"); omniout_str(ALWAYS, "-sin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2pp := proc(x)"); omniout_str(ALWAYS, "-cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y1 := proc(x)"); omniout_str(ALWAYS, "1.0 - sin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; glob_log10_abserr := -8.0; glob_log10_relerr := -8.0; glob_hmax := 0.01; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_last_rel_error := Array(1 .. max_terms + 1, []); array_norms := Array(1 .. max_terms + 1, []); array_y1_init := Array(1 .. max_terms + 1, []); array_y2_init := Array(1 .. max_terms + 1, []); array_tmp1_g := Array(1 .. max_terms + 1, []); array_x := Array(1 .. max_terms + 1, []); array_tmp0 := Array(1 .. max_terms + 1, []); array_tmp1 := Array(1 .. max_terms + 1, []); array_tmp2 := Array(1 .. max_terms + 1, []); array_tmp3 := Array(1 .. max_terms + 1, []); array_tmp4 := Array(1 .. max_terms + 1, []); array_tmp5 := Array(1 .. max_terms + 1, []); array_tmp6 := Array(1 .. max_terms + 1, []); array_type_pole := Array(1 .. max_terms + 1, []); array_1st_rel_error := Array(1 .. max_terms + 1, []); array_pole := Array(1 .. max_terms + 1, []); array_m1 := Array(1 .. max_terms + 1, []); array_y2 := Array(1 .. max_terms + 1, []); array_y1 := Array(1 .. max_terms + 1, []); array_y1_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []); array_complex_pole := Array(1 .. 3, 1 .. 4, []); array_y2_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []); array_y2_higher_work := Array(1 .. 5, 1 .. max_terms + 1, []); array_y1_higher := Array(1 .. 3, 1 .. max_terms + 1, []); array_real_pole := Array(1 .. 3, 1 .. 4, []); array_poles := Array(1 .. 3, 1 .. 4, []); array_y2_higher := Array(1 .. 5, 1 .. max_terms + 1, []); array_y2_higher_work2 := Array(1 .. 5, 1 .. max_terms + 1, []); array_y1_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []); array_y1_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []); term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y2_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1_g[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp5[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp6[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_y2_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 4 do term := 1; while term <= max_terms do array_y2_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 4 do term := 1; while term <= max_terms do array_y2_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 4 do term := 1; while term <= max_terms do array_y2_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_y1_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; array_tmp1_g := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1_g[term] := 0.; term := term + 1 end do; array_tmp6 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1 end do; array_tmp5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_y1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y1[term] := 0.; term := term + 1 end do; array_y2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y2[term] := 0.; term := term + 1 end do; array_const_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_3[term] := 0.; term := term + 1 end do; array_const_3[1] := 3; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; x_start := 0.1; x_end := 5.0; glob_h := 0.00001; array_y1_init[1] := exact_soln_y1(x_start); array_y2_init[1] := exact_soln_y2(x_start); array_y2_init[2] := exact_soln_y2p(x_start); array_y2_init[3] := exact_soln_y2pp(x_start); glob_max_iter := 20; glob_h := 0.0001; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); glob_abserr := 10.0^glob_log10_abserr; glob_relerr := 10.0^glob_log10_relerr; chk_data(); array_y2_set_initial[1, 1] := true; array_y2_set_initial[1, 2] := true; array_y2_set_initial[1, 3] := true; array_y2_set_initial[1, 4] := false; array_y2_set_initial[1, 5] := false; array_y2_set_initial[1, 6] := false; array_y2_set_initial[1, 7] := false; array_y2_set_initial[1, 8] := false; array_y2_set_initial[1, 9] := false; array_y2_set_initial[1, 10] := false; array_y2_set_initial[1, 11] := false; array_y2_set_initial[1, 12] := false; array_y2_set_initial[1, 13] := false; array_y2_set_initial[1, 14] := false; array_y2_set_initial[1, 15] := false; array_y2_set_initial[1, 16] := false; array_y2_set_initial[1, 17] := false; array_y2_set_initial[1, 18] := false; array_y2_set_initial[1, 19] := false; array_y2_set_initial[1, 20] := false; array_y2_set_initial[1, 21] := false; array_y2_set_initial[1, 22] := false; array_y2_set_initial[1, 23] := false; array_y2_set_initial[1, 24] := false; array_y2_set_initial[1, 25] := false; array_y2_set_initial[1, 26] := false; array_y2_set_initial[1, 27] := false; array_y2_set_initial[1, 28] := false; array_y2_set_initial[1, 29] := false; array_y2_set_initial[1, 30] := false; array_y1_set_initial[2, 1] := true; array_y1_set_initial[2, 2] := false; array_y1_set_initial[2, 3] := false; array_y1_set_initial[2, 4] := false; array_y1_set_initial[2, 5] := false; array_y1_set_initial[2, 6] := false; array_y1_set_initial[2, 7] := false; array_y1_set_initial[2, 8] := false; array_y1_set_initial[2, 9] := false; array_y1_set_initial[2, 10] := false; array_y1_set_initial[2, 11] := false; array_y1_set_initial[2, 12] := false; array_y1_set_initial[2, 13] := false; array_y1_set_initial[2, 14] := false; array_y1_set_initial[2, 15] := false; array_y1_set_initial[2, 16] := false; array_y1_set_initial[2, 17] := false; array_y1_set_initial[2, 18] := false; array_y1_set_initial[2, 19] := false; array_y1_set_initial[2, 20] := false; array_y1_set_initial[2, 21] := false; array_y1_set_initial[2, 22] := false; array_y1_set_initial[2, 23] := false; array_y1_set_initial[2, 24] := false; array_y1_set_initial[2, 25] := false; array_y1_set_initial[2, 26] := false; array_y1_set_initial[2, 27] := false; array_y1_set_initial[2, 28] := false; array_y1_set_initial[2, 29] := false; array_y1_set_initial[2, 30] := false; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; order_diff := 3; term_no := 1; while term_no <= order_diff do array_y2[term_no] := array_y2_init[term_no]*glob_h^(term_no - 1)/ factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y2_higher[r_order, term_no] := array_y2_init[it]* glob_h^(term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y1[term_no] := array_y1_init[term_no]*glob_h^(term_no - 1)/ factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y1_higher[r_order, term_no] := array_y1_init[it]* glob_h^(term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; current_iter := 1; glob_clock_start_sec := elapsed_time_seconds(); start_array_y2(); if glob_small_float < abs(array_y2_higher[1, 1]) then tmp := abs(array_y2_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); start_array_y1(); if glob_small_float < abs(array_y1_higher[1, 1]) then tmp := abs(array_y1_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); glob_clock_sec := elapsed_time_seconds(); glob_current_iter := 0; glob_iter := 0; omniout_str(DEBUGL, " "); glob_reached_optimal_h := true; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_current_iter < glob_max_iter and array_x[1] <= x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop"); glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); glob_current_iter := glob_current_iter + 1; if glob_subiter_method = 1 then atomall() elif glob_subiter_method = 2 then subiter := 1; while subiter <= 4 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 4 + glob_max_terms do atomall(); subiter := subiter + 1 end do end if; if glob_look_poles then check_for_pole() end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 3; ord := 4; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 4; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 3; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 3; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y2[term_no] := array_y2_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y2_higher[ord, term_no] := array_y2_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; order_diff := 1; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[2, iii] := array_y1_higher[2, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[1, iii] := array_y1_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[1, iii] := array_y1_higher[1, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_higher_work2[ord, calc_term] := temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!; term_no := glob_max_terms; while 1 <= term_no do array_y1[term_no] := array_y1_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y1_higher[ord, term_no] := array_y1_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; display_alot(current_iter) end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y2 , x , 3 ) = m1 * cos(x) ;"); omniout_str(INFO, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2012-06-13T14:57:49-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "mtest4") ; logitem_str(html_log_file, "diff ( y2 , x , 3 ) = m1 * cos(x) ;"); logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); logitem_integer(html_log_file, glob_max_terms); logitem_float(html_log_file, array_1st_rel_error[1]); logitem_float(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_iter); logitem_pole(html_log_file, array_type_pole[1]); if array_type_pole[1] = 1 or array_type_pole[1] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logitem_time(html_log_file, convfloat(glob_clock_sec)); if glob_percent_done < 100.0 then logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)) ; 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 090 "); logitem_str(html_log_file, "mtest4 diffeq.mxt"); logitem_str(html_log_file, "mtest4 maple results"); logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"); logend(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_str(html_log_file, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_float(html_log_file, array_1st_rel_error[2]); logitem_float(html_log_file, array_last_rel_error[2]); logditto(html_log_file); logitem_pole(html_log_file, array_type_pole[2]); if array_type_pole[2] = 1 or array_type_pole[2] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logditto(html_log_file); if glob_percent_done < 100.0 then logditto(html_log_file); 0 else logditto(html_log_file); 0 end if; logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end proc > mainprog(); ##############ECHO OF PROBLEM################# ##############temp/mtest4postode.ode################# diff ( y2 , x , 3 ) = m1 * cos(x) ; diff ( y1 , x , 1 ) = m1 * y2 + 1.0; ! #BEGIN FIRST INPUT BLOCK Digits := 32; max_terms := 30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.1; x_end := 5.0; glob_h := 0.00001; array_y1_init[0 + 1] := exact_soln_y1(x_start); array_y2_init[0 + 1] := exact_soln_y2(x_start); array_y2_init[1 + 1] := exact_soln_y2p(x_start); array_y2_init[2 + 1] := exact_soln_y2pp(x_start); glob_max_iter := 20; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_h := 0.0001 ; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y2 := proc(x) 1.0 + cos(x); end; exact_soln_y2p := proc(x) -sin(x); end; exact_soln_y2pp := proc(x) -cos(x); end; exact_soln_y1 := proc(x) 1.0 - sin(x); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y2[1] (analytic) = 1.9950041652780257660955619878039 y2[1] (numeric) = 1.9950041652780257660955619878039 absolute error = 0 relative error = 0 % h = 0.0001 y1[1] (analytic) = 0.90016658335317184769318580158938 y1[1] (numeric) = 0.90016658335317184769318580158938 absolute error = 0 relative error = 0 % h = 0.0001 x[1] = 0.1 y2[1] (analytic) = 1.9950041652780257660955619878039 y2[1] (numeric) = 1.9950041652780257660955619878039 absolute error = 0 relative error = 0 % h = 0.0001 y1[1] (analytic) = 0.90016658335317184769318580158938 y1[1] (numeric) = 0.90016658335317184769318580158938 absolute error = 0 relative error = 0 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=3.1MB, time=0.53 NO POLE NO POLE x[1] = 0.1001 y2[1] (analytic) = 1.99499417696135689993881931509 y2[1] (numeric) = 1.9949941769611744232787116245154 absolute error = 1.824766601076905746e-13 relative error = 9.1467264523862895092208640632915e-12 % h = 0.0001 y1[1] (analytic) = 0.90006708343597696196220785831547 y1[1] (numeric) = 0.9000670834359769665241056640093 absolute error = 4.56189780569383e-18 relative error = 5.0683975557454370671940508023476e-16 % h = 0.0001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.2MB, time=1.16 memory used=11.4MB, alloc=4.3MB, time=1.85 NO POLE NO POLE x[1] = 0.1002 y2[1] (analytic) = 1.9949841786947462724601257815688 y2[1] (numeric) = 1.9949841786932864293424290473843 absolute error = 1.4598431176967341845e-12 relative error = 7.3175673937016502868475485055980e-11 % h = 0.0001 y1[1] (analytic) = 0.89996758451811124103868599099689 y1[1] (numeric) = 0.89996758451811131403024504725983 absolute error = 7.299155905626294e-17 relative error = 8.1104653447430954744631119827502e-15 % h = 0.0001 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.3MB, time=2.49 NO POLE NO POLE x[1] = 0.1003 y2[1] (analytic) = 1.9949741704782938663255043431386 y2[1] (numeric) = 1.994974170473366795108886204824 absolute error = 4.9270712166181383146e-12 relative error = 2.4697418590822536474212144758846e-10 % h = 0.0001 y1[1] (analytic) = 0.89986808660056967410044825122023 y1[1] (numeric) = 0.8998680866005700436262581048533 absolute error = 3.6952580985363307e-16 relative error = 4.1064442150581222368751418271897e-14 % h = 0.0001 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.3MB, time=3.12 memory used=22.8MB, alloc=4.3MB, time=3.79 NO POLE NO POLE x[1] = 0.1004 y2[1] (analytic) = 1.9949641523120997636993956593421 y2[1] (numeric) = 1.9949641523004205414034965767649 absolute error = 1.16792222958990825772e-11 relative error = 5.8543519603413609177295971327085e-10 % h = 0.0001 y1[1] (analytic) = 0.89976858968434724032208115905533 y1[1] (numeric) = 0.89976858968434840822521669394597 absolute error = 1.16790313553489064e-15 relative error = 1.2980038966959372876805633836775e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.3MB, time=4.46 NO POLE NO POLE x[1] = 0.1005 y2[1] (analytic) = 1.994954124196264146243657271722 y2[1] (numeric) = 1.9949541241734526990648649663917 absolute error = 2.28114471787923053303e-11 relative error = 1.1434572305256734194027721442207e-09 % h = 0.0001 y1[1] (analytic) = 0.89966909377043890886497991131759 y1[1] (numeric) = 0.89966909377044176023760955369446 absolute error = 2.85137262964237687e-15 relative error = 3.1693570996114910933945414025662e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.3MB, time=5.12 memory used=34.3MB, alloc=4.3MB, time=5.83 NO POLE NO POLE x[1] = 0.1006 y2[1] (analytic) = 1.9949440861308872951165617872037 y2[1] (numeric) = 1.9949440860914683089547371917492 absolute error = 3.94189861618245954545e-11 relative error = 1.9759444104659650727992486352611e-09 % h = 0.0001 y1[1] (analytic) = 0.8995695988598396388673986899624 y1[1] (numeric) = 0.89956959885984555157034048863801 absolute error = 5.91270294179867561e-15 relative error = 6.5728132089976547584843886895827e-13 % h = 0.0001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.3MB, time=6.52 NO POLE NO POLE x[1] = 0.1007 y2[1] (analytic) = 1.9949340381160695909717940665135 y2[1] (numeric) = 1.9949340380534724219679496771165 absolute error = 6.25971690038443893970e-11 relative error = 3.1378064541401318392960817288265e-09 % h = 0.0001 y1[1] (analytic) = 0.89947010495354437943450107071087 y1[1] (numeric) = 0.89947010495355533362572555711659 absolute error = 1.095419122448640572e-14 relative error = 1.2178493942333041978804010386043e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.3MB, time=7.22 memory used=45.7MB, alloc=4.3MB, time=7.92 NO POLE NO POLE x[1] = 0.1008 y2[1] (analytic) = 1.9949239801519115139574474176422 y2[1] (numeric) = 1.9949239800584700990423789440502 absolute error = 9.34414149150684735920e-11 relative error = 4.6839586793654663998291634036852e-09 % h = 0.0001 y1[1] (analytic) = 0.89937061205254806962841053200644 y1[1] (numeric) = 0.89937061205256675730048926473487 absolute error = 1.868767207873272843e-14 relative error = 2.0778610984501295371662388738465e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.3MB, time=8.61 NO POLE NO POLE x[1] = 0.1009 y2[1] (analytic) = 1.9949139122385136437150187943654 y2[1] (numeric) = 1.9949139121054664111688910019977 absolute error = 1.330472325461277923677e-10 relative error = 6.6693220058220010769330063871715e-09 % h = 0.0001 y1[1] (analytic) = 0.89927112015784563845826106440201 y1[1] (numeric) = 0.89927112015787557298475976288216 absolute error = 2.993452649869848015e-14 relative error = 3.3287543464582946463493444904738e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.3MB, time=9.26 NO POLE NO POLE memory used=57.2MB, alloc=4.3MB, time=9.99 x[1] = 0.101 y2[1] (analytic) = 1.994903834375976659378402999829 y2[1] (numeric) = 1.9949038341934664394012906383798 absolute error = 1.825102199771123614492e-10 relative error = 9.1488229573834646568524884215014e-09 % h = 0.0001 y1[1] (analytic) = 0.89917162927043200487024788047681 y1[1] (numeric) = 0.89917162927047763056106305231824 absolute error = 4.562569081517184143e-14 relative error = 5.0741915480798164168468314235371e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.3MB, time=10.69 NO POLE NO POLE x[1] = 0.1011 y2[1] (analytic) = 1.9948937465644013395728858952114 y2[1] (numeric) = 1.9948937463214752748662706080447 absolute error = 2.429260647066152871667e-10 relative error = 1.2177393664448628443366136222802e-08 % h = 0.0001 y1[1] (analytic) = 0.89907213939130207773767822538281 y1[1] (numeric) = 0.89907213939136887940331619183528 absolute error = 6.680166563796645247e-14 relative error = 7.4300673673631037168863894606624e-12 % h = 0.0001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.3MB, time=11.37 NO POLE NO POLE x[1] = 0.1012 y2[1] (analytic) = 1.9948836488038885624141366134714 y2[1] (numeric) = 1.9948836484884980187733607219927 absolute error = 3.153905436407758914787e-10 relative error = 1.5809971866273041700968326349160e-08 % h = 0.0001 y1[1] (analytic) = 0.8989726505214507558510222881199 y1[1] (numeric) = 0.89897265052154536837581951200581 absolute error = 9.461252479722388591e-14 relative error = 1.0524516484716605688813760799454e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.3MB, time=12.08 memory used=72.4MB, alloc=4.3MB, time=12.78 NO POLE NO POLE x[1] = 0.1013 y2[1] (analytic) = 1.9948735410945393055071987781922 y2[1] (numeric) = 1.9948735406935397824248768352726 absolute error = 4.009995230823219429196e-10 relative error = 2.0101500913301156645078880562496e-08 % h = 0.0001 y1[1] (analytic) = 0.89887316266187292790796421363949 y1[1] (numeric) = 0.89887316266200324583224783402686 absolute error = 1.3031792428362038737e-13 relative error = 1.4497921363866748838717791351294e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.3MB, time=13.46 NO POLE NO POLE x[1] = 0.1014 y2[1] (analytic) = 1.9948634234364546459454807275319 y2[1] (numeric) = 1.9948634229356056872258697339501 absolute error = 5.008489587196109935818e-10 relative error = 2.5106929769498843137019778003200e-08 % h = 0.0001 y1[1] (analytic) = 0.89877367581356347250345321587596 y1[1] (numeric) = 0.89877367581373875961464069367038 absolute error = 1.7528711118747779442e-13 relative error = 1.9502920023643233769177408139558e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.3MB, time=14.16 memory used=83.9MB, alloc=4.4MB, time=14.87 NO POLE NO POLE x[1] = 0.1015 y2[1] (analytic) = 1.9948532958297357603097447432905 y2[1] (numeric) = 1.9948532952137008646940739210493 absolute error = 6.160348956156708222412e-10 relative error = 3.0881213014686293241474724043789e-08 % h = 0.0001 y1[1] (analytic) = 0.89867418997751725811975479180544 y1[1] (numeric) = 0.89867418997774825705239157035 absolute error = 2.3099893263677854456e-13 relative error = 2.5704413814594764490762267468424e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.4MB, time=15.57 NO POLE NO POLE x[1] = 0.1016 y2[1] (analytic) = 1.9948431582744839246670952851026 y2[1] (numeric) = 1.9948431575268304564698563013668 absolute error = 7.476534681972389837358e-10 relative error = 3.7479310846871315804223605312719e-08 % h = 0.0001 y1[1] (analytic) = 0.89857470515472914311650203663147 y1[1] (numeric) = 0.89857470515502818496123612131424 absolute error = 2.9904184473408468277e-13 relative error = 3.3279575200438285343181335819351e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.4MB, time=16.24 memory used=95.3MB, alloc=4.4MB, time=16.92 NO POLE NO POLE x[1] = 0.1017 y2[1] (analytic) = 1.9948330107708005145699662297676 y2[1] (numeric) = 1.9948330098739996143261647650598 absolute error = 8.968009002438014647078e-10 relative error = 4.4956189084583021208015155203357e-08 % h = 0.0001 y1[1] (analytic) = 0.89847522134619397572074706019696 y1[1] (numeric) = 0.89847522134657508964223942097632 absolute error = 3.8111392149236077936e-13 relative error = 4.2417855544344802674925343665021e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.4MB, time=17.58 NO POLE NO POLE x[1] = 0.1018 y2[1] (analytic) = 1.9948228533187870050551071157262 y2[1] (numeric) = 1.9948228522542135001784766699085 absolute error = 1.0645735048766304458177e-09 relative error = 5.3366819169205896464382129553377e-08 % h = 0.0001 y1[1] (analytic) = 0.89837573855290659401701250472195 y1[1] (numeric) = 0.89837573855338561688078220539064 absolute error = 4.7902286376970066869e-13 relative error = 5.3320992900064870513032294759163e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.4MB, time=18.25 memory used=106.8MB, alloc=4.4MB, time=18.96 NO POLE NO POLE x[1] = 0.1019 y2[1] (analytic) = 1.9948126859185449706425683926936 y2[1] (numeric) = 1.9948126846664772860947472221527 absolute error = 1.2520676845478211705409e-09 relative error = 6.2766178167314270799339786596333e-08 % h = 0.0001 y1[1] (analytic) = 0.89827625677586182593734316396666 y1[1] (numeric) = 0.89827625677645651194554612188617 absolute error = 5.9468600820295791951e-13 relative error = 6.6203019807896821576767887482565e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.4MB, time=19.67 NO POLE NO POLE x[1] = 0.102 y2[1] (analytic) = 1.9948025085701760853346856764599 y2[1] (numeric) = 1.9948025071097961543053577558044 absolute error = 1.4603799310293279206555e-09 relative error = 7.3209248773007171890854485583811e-08 % h = 0.0001 y1[1] (analytic) = 0.89817677601605448925135770391935 y1[1] (numeric) = 0.89817677601678461958749798386676 absolute error = 7.3013033614027994741e-13 relative error = 8.1290271095500827063755351573316e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.4MB, time=20.37 memory used=118.2MB, alloc=4.4MB, time=21.08 NO POLE NO POLE x[1] = 0.1021 y2[1] (analytic) = 1.9947923212737821226150630088674 y2[1] (numeric) = 1.9947923195831752972130639103354 absolute error = 1.6906068254019990985320e-09 relative error = 8.4751019310243572916105746994516e-08 % h = 0.0001 y1[1] (analytic) = 0.89807729627447939155630048510842 y1[1] (numeric) = 0.89807729627536688403887303078865 absolute error = 8.8749248257254568023e-13 relative error = 9.8821391683561870782388740917658e-11 % h = 0.0001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.4MB, time=21.80 NO POLE NO POLE x[1] = 0.1022 y2[1] (analytic) = 1.9947821240294649554475551229758 y2[1] (numeric) = 1.9947821220856199174029437066414 absolute error = 1.9438450380446114163344e-09 relative error = 9.7446483735178030566541248191329e-08 % h = 0.0001 y1[1] (analytic) = 0.89797781755213133026709348663827 y1[1] (numeric) = 0.89797781755320034901215719332527 absolute error = 1.06901874506370668700e-12 relative error = 1.1904734439630472527998256181427e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.4MB, time=22.51 NO POLE NO POLE memory used=129.7MB, alloc=4.4MB, time=23.21 x[1] = 0.1023 y2[1] (analytic) = 1.9947719168373265562752487134242 y2[1] (numeric) = 1.9947719146161352276523455211831 absolute error = 2.2211913286229031922411e-09 relative error = 1.1135064163849671418870538602525e-07 % h = 0.0001 y1[1] (analytic) = 0.89787833985000509260638833204834 y1[1] (numeric) = 0.89787833985128215769906836372953 absolute error = 1.27706509268003168119e-12 relative error = 1.4223141777686401974782330864558e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.4MB, time=23.94 NO POLE NO POLE x[1] = 0.1024 y2[1] (analytic) = 1.9947616996974689970194427120013 y2[1] (numeric) = 1.9947616971737264509408359582044 absolute error = 2.5237425460786067537969e-09 relative error = 1.2651849824775382620900373453923e-07 % h = 0.0001 y1[1] (analytic) = 0.89777886316909545559461841709491 y1[1] (numeric) = 0.89777886317060955276953667140383 absolute error = 1.51409717491825430892e-12 relative error = 1.6864923390751249157970631216319e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.4MB, time=24.64 NO POLE NO POLE x[1] = 0.1025 y2[1] (analytic) = 1.9947514726099944490786275684329 y2[1] (numeric) = 1.9947514697573988204601476199284 absolute error = 2.8525956286184799485045e-09 relative error = 1.4300506442970841400045668259641e-07 % h = 0.0001 y1[1] (analytic) = 0.89767938751039718604005113955504 y1[1] (numeric) = 0.8976793875121798763706837636879 absolute error = 1.78269033063262413286e-12 relative error = 1.9858875623475051558089266390322e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.4MB, time=25.34 memory used=144.9MB, alloc=4.4MB, time=26.07 NO POLE NO POLE x[1] = 0.1026 y2[1] (analytic) = 1.9947412355750051833274635363984 y2[1] (numeric) = 1.9947412323661575796241267746318 absolute error = 3.2088476037033367617666e-09 relative error = 1.6086535669266157334966724075990e-07 % h = 0.0001 y1[1] (analytic) = 0.89757991287490504052884023115219 y1[1] (numeric) = 0.89757991287699057012580109187476 absolute error = 2.08552959696086072257e-12 relative error = 2.3235029739926000693965212389151e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.4MB, time=26.77 NO POLE NO POLE x[1] = 0.1027 y2[1] (analytic) = 1.9947309885926035701157579647845 y2[1] (numeric) = 1.9947309849990079820786809224982 absolute error = 3.5935955880370770422863e-09 relative error = 1.8015439718879404368209392822332e-07 % h = 0.0001 y1[1] (analytic) = 0.89748043926361376541507819170298 y1[1] (numeric) = 0.89748043926603917513332720246495 absolute error = 2.42540971824901076197e-12 relative error = 2.7024652707072579618143422490288e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.4MB, time=27.48 memory used=156.4MB, alloc=4.4MB, time=28.21 NO POLE NO POLE x[1] = 0.1028 y2[1] (analytic) = 1.9947207316628920792674415941882 y2[1] (numeric) = 1.9947207276549552917117262591505 absolute error = 4.0079367875557153350377e-09 relative error = 2.0092721371650419520396658627643e-07 % h = 0.0001 y1[1] (analytic) = 0.89738096667751809681084882558455 y1[1] (numeric) = 0.89738096668032333196582403366934 absolute error = 2.80523515497520808479e-12 relative error = 3.1260247978752757645965323298269e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.4MB, time=28.92 NO POLE NO POLE x[1] = 0.1029 y2[1] (analytic) = 1.9947104647859732800795438586784 y2[1] (numeric) = 1.9947104603330047826631350367639 absolute error = 4.4529684974164088219145e-09 relative error = 2.2323883972274640811901382610085e-07 % h = 0.0001 y1[1] (analytic) = 0.89728149511761276057627988062199 y1[1] (numeric) = 0.89728149512084078066895221717064 absolute error = 3.22802009267233654865e-12 relative error = 3.5975556280130552563247192871495e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.4MB, time=29.61 memory used=167.8MB, alloc=4.4MB, time=30.33 NO POLE NO POLE x[1] = 0.103 y2[1] (analytic) = 1.9947001879619498413211671928266 y2[1] (numeric) = 1.9947001830321617393346828226584 absolute error = 4.9297881019864843701682e-09 relative error = 2.4714431430536984407839773636823e-07 % h = 0.0001 y1[1] (analytic) = 0.89718202458489247230959578949541 y1[1] (numeric) = 0.89718202458858936076044538515399 absolute error = 3.69688845084959565858e-12 relative error = 4.1205556392640270771203238752033e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.4MB, time=31.04 NO POLE NO POLE x[1] = 0.1031 y2[1] (analytic) = 1.9946899011909245312324603440163 y2[1] (numeric) = 1.994689895751431456399995655273 absolute error = 5.4394930748324646887433e-09 relative error = 2.7269868221545761002207735415589e-07 % h = 0.0001 y1[1] (analytic) = 0.89708255508035193733717051376591 y1[1] (numeric) = 0.89708255508456701122908348261677 absolute error = 4.21507389191296885086e-12 relative error = 4.6986465939418736040119216279093e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.4MB, time=31.75 memory used=179.2MB, alloc=4.4MB, time=32.47 NO POLE NO POLE x[1] = 0.1032 y2[1] (analytic) = 1.9946796044730002175235906900428 y2[1] (numeric) = 1.9946795984898192388144970974212 absolute error = 5.9831809787090935926216e-09 relative error = 2.9995699385966631457009447431168e-07 % h = 0.0001 y1[1] (analytic) = 0.89698308660498585070358049062019 y1[1] (numeric) = 0.896983086609771770533665084968 absolute error = 4.78591983008459434781e-12 relative error = 5.3355742171225817752733014021050e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.4MB, time=33.17 NO POLE NO POLE x[1] = 0.1033 y2[1] (analytic) = 1.994669297808279867373715562012 y2[1] (numeric) = 1.9946692912463304018253551867284 absolute error = 6.5619494655483603752836e-09 relative error = 3.2897430530256601712210629546185e-07 % h = 0.0001 y1[1] (analytic) = 0.89688361915978889716165768243304 y1[1] (numeric) = 0.89688361916520177660197872092749 absolute error = 5.41287944032103849445e-12 relative error = 6.0352082752853569733903710267088e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.4MB, time=33.87 memory used=190.7MB, alloc=4.4MB, time=34.59 NO POLE NO POLE x[1] = 0.1034 y2[1] (analytic) = 1.9946589811968665474299525725501 y2[1] (numeric) = 1.9946589740199702709814292831519 absolute error = 7.1768962764485232893982e-09 relative error = 3.5980567826898056982368630812027e-07 % h = 0.0001 y1[1] (analytic) = 0.89678415274575575116254272924732 y1[1] (numeric) = 0.89678415275185526682977320073513 absolute error = 6.09951566723047148781e-12 relative error = 6.8015426550024290974140545197743e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.4MB, time=35.31 NO POLE NO POLE x[1] = 0.1035 y2[1] (analytic) = 1.9946486546388634238063489493329 y2[1] (numeric) = 1.994648646809744182143216813484 absolute error = 7.8291192416631321358489e-09 relative error = 3.9250618014632835255780092980491e-07 % h = 0.0001 y1[1] (analytic) = 0.89668468736388107684573820427085 y1[1] (numeric) = 0.8966846873707305780797269496806 absolute error = 6.84950123398874540975e-12 relative error = 7.6386954416777819768161791784521e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.4MB, time=36.02 NO POLE NO POLE x[1] = 0.1036 y2[1] (analytic) = 1.9946383181343737620828498739466 y2[1] (numeric) = 1.9946383096146574814927999127389 absolute error = 8.5197162805900499612077e-09 relative error = 4.2713088398696340112005630734011e-07 % h = 0.0001 y1[1] (analytic) = 0.89658522301515952802916197248966 y1[1] (numeric) = 0.89658522302282614668041634696372 absolute error = 7.66661865125437447406e-12 relative error = 8.5509089983348373001513652066981e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.4MB, time=36.72 memory used=205.9MB, alloc=4.4MB, time=37.45 NO POLE NO POLE x[1] = 0.1037 y2[1] (analytic) = 1.9946279716835009273042658260886 y2[1] (numeric) = 1.9946279624337155255437919623233 absolute error = 9.2497854017604738637653e-09 relative error = 4.6373486851051692873621589111174e-07 % h = 0.0001 y1[1] (analytic) = 0.8964857597005857481992006524971 y1[1] (numeric) = 0.89648575970914050842528306989589 absolute error = 8.55476022608241739879e-12 relative error = 9.5425500444531242533307129742170e-10 % h = 0.0001 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.4MB, time=38.15 NO POLE NO POLE x[1] = 0.1038 y2[1] (analytic) = 1.9946176152863483839792389331209 y2[1] (numeric) = 1.9946176052659236811512840248924 absolute error = 1.00204247028279549082285e-08 relative error = 5.0237321810623924108064124209519e-07 % h = 0.0001 y1[1] (analytic) = 0.8963862974211543705007631816383 y1[1] (numeric) = 0.89638629743067229857160044345283 absolute error = 9.51792807083726181453e-12 relative error = 1.0618109734853966083374378555839e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.4MB, time=38.84 memory used=217.4MB, alloc=4.4MB, time=39.54 NO POLE NO POLE x[1] = 0.1039 y2[1] (analytic) = 1.9946072489430196960792083249843 y2[1] (numeric) = 1.9946072381102873255217911757902 absolute error = 1.08327323705574171491941e-08 relative error = 5.4310102283534204495426488312609e-07 % h = 0.0001 y1[1] (analytic) = 0.8962868361778600177273344845693 y1[1] (numeric) = 0.89628683618842025183943879518901 absolute error = 1.056023411210431061971e-11 relative error = 1.1782203738635214825233999142496e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.4MB, time=40.25 NO POLE NO POLE x[1] = 0.104 y2[1] (analytic) = 1.9945968726536185270373744944846 y2[1] (numeric) = 1.9945968609658118462231987309764 absolute error = 1.16878066808141757635082e-08 relative error = 5.8597337843334115078072053175156e-07 % h = 0.0001 y1[1] (analytic) = 0.89618737597169730231102924533054 y1[1] (numeric) = 0.89618737598338320241062981552416 absolute error = 1.168590009960057019362e-11 relative error = 1.3039572318155065450212517161209e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.4MB, time=40.95 memory used=228.8MB, alloc=4.4MB, time=41.67 NO POLE NO POLE x[1] = 0.1041 y2[1] (analytic) = 1.994586486418248639747662662962 y2[1] (numeric) = 1.9945864738315026411947083713392 absolute error = 1.25867459985529542916228e-08 relative error = 6.3104538631239956907944305475863e-07 % h = 0.0001 y1[1] (analytic) = 0.89608791680366082631264578303401 y1[1] (numeric) = 0.89608791681656008392772992341208 absolute error = 1.289925761508414037807e-11 relative error = 1.4395080408064980716119286837914e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=232.6MB, alloc=4.4MB, time=42.36 NO POLE NO POLE x[1] = 0.1042 y2[1] (analytic) = 1.994576090237013896563685151352 y2[1] (numeric) = 1.994576076706365118756784163295 absolute error = 1.35306487778069009880570e-08 relative error = 6.7837215356367100107435647737993e-07 % h = 0.0001 y1[1] (analytic) = 0.8959884586747451814117200312635 y1[1] (numeric) = 0.8959884586889499294929826374023 absolute error = 1.420474808126260613880e-11 relative error = 1.5853717694391758020891199253046e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.4MB, time=43.06 memory used=240.3MB, alloc=4.4MB, time=43.77 NO POLE NO POLE x[1] = 0.1043 y2[1] (analytic) = 1.9945656841100182592977027566508 y2[1] (numeric) = 1.9945656695894046976210984755754 absolute error = 1.45206135616766042810754e-08 relative error = 7.2800879295964372359707072737318e-07 % h = 0.0001 y1[1] (analytic) = 0.89588900158594494889657962128759 y1[1] (numeric) = 0.89588900160155187166727995210479 absolute error = 1.560692277070033081720e-11 relative error = 1.7420598693668769582193398419192e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.4MB, time=44.46 NO POLE NO POLE x[1] = 0.1044 y2[1] (analytic) = 1.9945552680373657892195851337935 y2[1] (numeric) = 1.9945552524796268069004777921022 absolute error = 1.55577389823191073416913e-08 relative error = 7.8001042295648486844329376444174e-07 % h = 0.0001 y1[1] (analytic) = 0.89578954553825469965439806918463 y1[1] (numeric) = 0.89578954555536514246912272006822 absolute error = 1.711044281472465088359e-11 relative error = 1.9100962832116407287695417862346e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.4MB, time=45.16 memory used=251.7MB, alloc=4.4MB, time=45.89 NO POLE NO POLE x[1] = 0.1045 y2[1] (analytic) = 1.9945448420191606470557701829557 y2[1] (numeric) = 1.9945448253760368861188484208509 absolute error = 1.66431237609369217621048e-08 relative error = 8.3443216769638509634132774606047e-07 % h = 0.0001 y1[1] (analytic) = 0.89569009053266899416124906697927 y1[1] (numeric) = 0.89569009055138907337358003908216 absolute error = 1.872007921233097210289e-11 relative error = 2.0900174524871763581678118234067e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.4MB, time=46.60 NO POLE NO POLE x[1] = 0.1046 y2[1] (analytic) = 1.9945344060555070929882224422906 y2[1] (numeric) = 1.9945343882776403852211820986031 absolute error = 1.77778667077670403436875e-08 relative error = 8.9132915700990366569163478039905e-07 % h = 0.0001 y1[1] (analytic) = 0.89559063657018238247216087789009 y1[1] (numeric) = 0.89559063659062309531124764491352 absolute error = 2.044071283908676702343e-11 relative error = 2.2823723255267579774981332104502e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.4MB, time=47.29 NO POLE NO POLE memory used=263.2MB, alloc=4.4MB, time=47.99 x[1] = 0.1047 y2[1] (analytic) = 1.9945239601465094866533904861099 y2[1] (numeric) = 1.9945239411834427645834414914885 absolute error = 1.89630667220699489946214e-08 relative error = 9.5075652641831389623628895443660e-07 % h = 0.0001 y1[1] (analytic) = 0.89549118365178940421117083578751 y1[1] (numeric) = 0.89549118367406673866720530948782 absolute error = 2.227733445603447370031e-11 relative error = 2.4877223654160493187498738235876e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.4MB, time=48.69 NO POLE NO POLE x[1] = 0.1048 y2[1] (analytic) = 1.9945135042922722871411633285203 y2[1] (numeric) = 1.9945134840924494950225255912171 absolute error = 2.01998227921186377373032e-08 relative error = 1.0127694171359490278173485286054e-06 % h = 0.0001 y1[1] (analytic) = 0.89539173177848458856137994896177 y1[1] (numeric) = 0.89539173180271963327997324452555 absolute error = 2.423504471859329556378e-11 relative error = 2.7066415579308614552852743374823e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.4MB, time=49.38 NO POLE NO POLE x[1] = 0.1049 y2[1] (analytic) = 1.9945030384929000529938258325255 y2[1] (numeric) = 1.9945030170036660578062150069017 absolute error = 2.14892339951876108256238e-08 relative error = 1.0774229760725484743831487285138e-06 % h = 0.0001 y1[1] (analytic) = 0.89529228095126245425500760830018 y1[1] (numeric) = 0.89529228097758150844046751064416 absolute error = 2.631905418545990234398e-11 relative error = 2.9397164194798467137344885385773e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.4MB, time=50.07 memory used=278.4MB, alloc=4.4MB, time=50.78 NO POLE NO POLE x[1] = 0.105 y2[1] (analytic) = 1.9944925627484974422050131246041 y2[1] (numeric) = 1.994492539916097944663117152372 absolute error = 2.28323994975418959722321e-08 relative error = 1.1447723558356044734015172133317e-06 % h = 0.0001 y1[1] (analytic) = 0.89519283117111750956344639997322 y1[1] (numeric) = 0.89519283119965219289095443193607 absolute error = 2.853468332750803196285e-11 relative error = 3.1875460050521319046192925243014e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.4MB, time=51.48 NO POLE NO POLE x[1] = 0.1051 y2[1] (analytic) = 1.9944820770591692122186640147742 y2[1] (numeric) = 1.9944820528287506577926113288801 absolute error = 2.42304185544260526858941e-08 relative error = 1.2148727147327091308390463239344e-06 % h = 0.0001 y1[1] (analytic) = 0.89509338243904425228731702272891 y1[1] (numeric) = 0.89509338246993161482400401603321 absolute error = 3.088736253668699330430e-11 relative error = 3.4507419161698940211901659228082e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.4MB, time=52.17 memory used=289.9MB, alloc=4.4MB, time=52.85 NO POLE NO POLE x[1] = 0.1052 y2[1] (analytic) = 1.9944715814250202199279734221549 y2[1] (numeric) = 1.9944715557406297098747937030986 absolute error = 2.56843905100531797190563e-08 relative error = 1.2877792167739018618654927179009e-06 % h = 0.0001 y1[1] (analytic) = 0.89499393475603716974652330989487 y1[1] (numeric) = 0.89499393478941980188144237966848 absolute error = 3.338263213491906977361e-11 relative error = 3.7299283088458815581019609711825e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.4MB, time=53.52 NO POLE NO POLE x[1] = 0.1053 y2[1] (analytic) = 1.9944610758461554216743438060354 y2[1] (numeric) = 1.9944610486507406240804221803111 absolute error = 2.71954147975939216257243e-08 relative error = 1.3635470316740172274425070557493e-06 % h = 0.0001 y1[1] (analytic) = 0.89489448812309073877030735618759 y1[1] (numeric) = 0.89489448815911688115330317974469 absolute error = 3.602614238299582355710e-11 relative error = 4.0257419015458846037166955065570e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.4MB, time=54.19 memory used=301.3MB, alloc=4.4MB, time=54.87 NO POLE NO POLE x[1] = 0.1054 y2[1] (analytic) = 1.9944505603226798732463356024613 y2[1] (numeric) = 1.9944505315580889340808611726966 absolute error = 2.87645909391654744297647e-08 relative error = 1.4422313348550331669557928272315e-06 % h = 0.0001 y1[1] (analytic) = 0.89479504254119942568730474942828 y1[1] (numeric) = 0.89479504258002307917677804992142 absolute error = 3.882365348947330049314e-11 relative error = 4.3388319831561568619824542926901e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.4MB, time=55.54 NO POLE NO POLE x[1] = 0.1055 y2[1] (analytic) = 1.9944400348546987298786166663504 y2[1] (numeric) = 1.9944400044616801840580262626074 absolute error = 3.03930185458205904037430e-08 relative error = 1.5238873074484196270500608722426e-06 % h = 0.0001 y1[1] (analytic) = 0.89469559801135768631559990726483 y1[1] (numeric) = 0.89469559805313872193516604273027 absolute error = 4.178103561956613546544e-11 relative error = 4.6698604209557927619815435485522e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=308.9MB, alloc=4.4MB, time=56.23 memory used=312.8MB, alloc=4.4MB, time=56.92 NO POLE NO POLE x[1] = 0.1056 y2[1] (analytic) = 1.9944294994423172462509107191469 y2[1] (numeric) = 1.9944294673605199287143287607417 absolute error = 3.20817973175365819584052e-08 relative error = 1.6085701362974875868259323034508e-06 % h = 0.0001 y1[1] (analytic) = 0.8945961545345599659527815189992 y1[1] (numeric) = 0.89459615457946423485682207722908 absolute error = 4.490426890404055822988e-11 relative error = 5.0195016685940628154370846509922e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.4MB, time=57.59 NO POLE NO POLE x[1] = 0.1057 y2[1] (analytic) = 1.9944189540856407764869448020247 y2[1] (numeric) = 1.9944189202536137332826201591112 absolute error = 3.38320270432043246429135e-08 relative error = 1.6963350139597384795581147722653e-06 % h = 0.0001 y1[1] (analytic) = 0.89449671211180069936599809261988 y1[1] (numeric) = 0.89449671216000014281410439220554 absolute error = 4.819944344810629958566e-11 relative error = 5.3884427740727103845754685397635e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.4MB, time=58.27 memory used=324.2MB, alloc=4.4MB, time=58.98 NO POLE NO POLE x[1] = 0.1058 y2[1] (analytic) = 1.994408398784774774153395734651 y2[1] (numeric) = 1.9944083631399671735361364787042 absolute error = 3.56448076006172592559468e-08 relative error = 1.7872371387092140110942289407859e-06 % h = 0.0001 y1[1] (analytic) = 0.89439727074407431078201360713865 y1[1] (numeric) = 0.89439727079574707012232100494082 absolute error = 5.167275934030739780217e-11 relative error = 5.7773833877332130249748577961275e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.4MB, time=59.66 NO POLE NO POLE x[1] = 0.1059 y2[1] (analytic) = 1.994397833539824792258835579521 y2[1] (numeric) = 1.9943977960185858357984425117452 absolute error = 3.75212389564603930677758e-08 relative error = 1.8813317145388463750936537921124e-06 % h = 0.0001 y1[1] (analytic) = 0.89429783043237521387726327033124 y1[1] (numeric) = 0.89429783048770574053867517554369 absolute error = 5.533052666141190521245e-11 relative error = 6.1870357702490115701357626305076e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.4MB, time=60.34 NO POLE NO POLE x[1] = 0.106 y2[1] (analytic) = 1.9943872583508964832526761118722 y2[1] (numeric) = 1.9943872188884753169533759584507 absolute error = 3.94624211662993001534215e-08 relative error = 1.9786739511628088652657461814442e-06 % h = 0.0001 y1[1] (analytic) = 0.89419839117769781176790938198128 y1[1] (numeric) = 0.89419839123687697726120987686564 absolute error = 5.917916549330049488436e-11 relative error = 6.6181248006227101267043242175504e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=335.6MB, alloc=4.4MB, time=61.02 memory used=339.5MB, alloc=4.4MB, time=61.75 NO POLE NO POLE x[1] = 0.1061 y2[1] (analytic) = 1.994376673218095599024112295192 y2[1] (numeric) = 1.9943766317486412244549914581827 absolute error = 4.14694543745691208370093e-08 relative error = 2.0793190640188668847669974348900e-06 % h = 0.0001 y1[1] (analytic) = 0.89409895298103649699989730272694 y1[1] (numeric) = 0.89409895304426170292775127000769 absolute error = 6.322520592785396728075e-11 relative error = 7.0713879841882501514662259609813e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.4MB, time=62.43 NO POLE NO POLE x[1] = 0.1062 y2[1] (analytic) = 1.9943660781415279909010647623259 y2[1] (numeric) = 1.9943660345980891763375045148999 absolute error = 4.35434388145635602474260e-08 relative error = 2.1833222742707293529164810597531e-06 % h = 0.0001 y1[1] (analytic) = 0.89399951584338565153901152860976 y1[1] (numeric) = 0.89399951591086093961485118542928 absolute error = 6.747528807583965681952e-11 relative error = 7.5475754606180617833543018355690e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.4MB, time=63.10 memory used=350.9MB, alloc=4.4MB, time=63.78 NO POLE NO POLE x[1] = 0.1063 y2[1] (analytic) = 1.9943554731212996096491213021998 y2[1] (numeric) = 1.994355427435824801225235316807 absolute error = 4.56854748084238859853928e-08 relative error = 2.2907388088104005093892734058765e-06 % h = 0.0001 y1[1] (analytic) = 0.89390007976573964676093187142512 y1[1] (numeric) = 0.89390007983767580883672860966998 absolute error = 7.193616207579673824486e-11 relative error = 8.0474500119351956059291122895103e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.4MB, time=64.47 NO POLE NO POLE x[1] = 0.1064 y2[1] (analytic) = 1.9943448581575165054704773521646 y2[1] (numeric) = 1.9943448102608537383425524501035 absolute error = 4.78966627671279249020611e-08 relative error = 2.4016239002605321160472502083941e-06 % h = 0.0001 y1[1] (analytic) = 0.89380064474909284344128974497372 y1[1] (numeric) = 0.89380064482570753154421017769447 absolute error = 7.661468810292043272075e-11 relative error = 8.5717870705304380179413597925105e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.4MB, time=65.14 memory used=362.4MB, alloc=4.4MB, time=65.84 NO POLE NO POLE x[1] = 0.1065 y2[1] (analytic) = 1.9943342332502848280028754959752 y2[1] (numeric) = 1.9943341830721816375238165067316 absolute error = 5.01781031904790589892436e-08 relative error = 2.5160327869767760565669847389794e-06 % h = 0.0001 y1[1] (analytic) = 0.89370121079443959174572455731352 y1[1] (numeric) = 0.89370121087595742812366967087148 absolute error = 8.151783637794511355796e-11 relative error = 9.1213747271844133917775997113632e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.4MB, time=66.53 NO POLE NO POLE x[1] = 0.1066 y2[1] (analytic) = 1.9943235983997108263185439674139 y2[1] (numeric) = 1.9943235458688141592233235860243 absolute error = 5.25308966670952203813896e-08 relative error = 2.6340207130501373340243297961610e-06 % h = 0.0001 y1[1] (analytic) = 0.89360177790277423121994020911169 y1[1] (numeric) = 0.89360177798942691839596652059725 absolute error = 8.665268717602631148556e-11 relative error = 9.6970137390946762017412660385115e-09 % h = 0.0001 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.4MB, time=67.20 memory used=373.8MB, alloc=4.4MB, time=67.89 NO POLE NO POLE x[1] = 0.1067 y2[1] (analytic) = 1.9943129536059008489231341595696 y2[1] (numeric) = 1.9943128986497569745252486901542 absolute error = 5.49561438743978854694154e-08 relative error = 2.7556429283093274665954030751268e-06 % h = 0.0001 y1[1] (analytic) = 0.89350234607509109077976169819579 y1[1] (numeric) = 0.89350234616711752161538331757413 absolute error = 9.202643083562161937834e-11 relative error = 1.0299517537907796306342566637091e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.4MB, time=68.59 NO POLE NO POLE x[1] = 0.1068 y2[1] (analytic) = 1.994302298868961343754657139781 y2[1] (numeric) = 1.9943022414140157651535890132834 absolute error = 5.74549455786010681264976e-08 relative error = 2.8809546883231182815335770601424e-06 % h = 0.0001 y1[1] (analytic) = 0.89340291531238448870119183040385 y1[1] (numeric) = 0.89340291541003085646856232675495 absolute error = 9.764636776737049635110e-11 relative error = 1.0929712237756440570901086788794e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.4MB, time=69.27 memory used=385.2MB, alloc=4.4MB, time=69.96 NO POLE NO POLE x[1] = 0.1069 y2[1] (analytic) = 1.9942916341889988581824191702586 y2[1] (numeric) = 1.9942915741605962234821071243154 absolute error = 6.00284026347003120459432e-08 relative error = 3.0100112544026961075824175111837e-06 % h = 0.0001 y1[1] (analytic) = 0.89330348561564873261046803683264 y1[1] (numeric) = 0.8933034857191686410734410079638 absolute error = 1.0351990846297297113116e-10 relative error = 1.1588436643301454018989697965700e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.4MB, time=70.62 NO POLE NO POLE x[1] = 0.107 y2[1] (analytic) = 1.9942809595661200390059562343918 y2[1] (numeric) = 1.9942808968885040525442740431489 absolute error = 6.26776159864616821912429e-08 relative error = 3.1428678936040163659841756261263e-06 % h = 0.0001 y1[1] (analytic) = 0.89320405698587811947411929758354 y1[1] (numeric) = 0.89320405709553269297818654220386 absolute error = 1.0965457350406724462032e-10 relative error = 1.2276542257778943703417683844300e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.4MB, time=71.29 NO POLE NO POLE memory used=396.7MB, alloc=4.4MB, time=71.97 x[1] = 0.1071 y2[1] (analytic) = 1.9942702750004316324539675687545 y2[1] (numeric) = 1.9942702095967449660432122103351 absolute error = 6.54036866664107553584194e-08 relative error = 3.2795798787301585602437468211860e-06 % h = 0.0001 y1[1] (analytic) = 0.89310462942406693558902317210554 y1[1] (numeric) = 0.89310462954012492916012936366292 absolute error = 1.1605799357110619155738e-10 relative error = 1.2994893291052368489621909576562e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.4MB, time=72.63 NO POLE NO POLE x[1] = 0.1072 y2[1] (analytic) = 1.9942595804920404841832482008192 y2[1] (numeric) = 1.994259512284324688361638350038 absolute error = 6.82077157958216098507812e-08 relative error = 3.4202024883336816648079809990039e-06 % h = 0.0001 y1[1] (analytic) = 0.89300520293120945657246293623481 y1[1] (numeric) = 0.89300520305394736602469569742728 absolute error = 1.2273790945223276119247e-10 relative error = 1.3744366667669637946536489673021e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.4MB, time=73.29 NO POLE NO POLE x[1] = 0.1073 y2[1] (analytic) = 1.99424887604105353927762049239 y2[1] (numeric) = 1.994248804950248954571806226199 absolute error = 7.10908045847058142661910e-08 relative error = 3.5647910067189799128201960995143e-06 % h = 0.0001 y1[1] (analytic) = 0.89290577750829994735218482603007 y1[1] (numeric) = 0.8929057776380021194043391029147 absolute error = 1.2970217205215427688463e-10 relative error = 1.4525852034925223542220269510775e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.4MB, time=73.97 memory used=411.9MB, alloc=4.4MB, time=74.65 NO POLE NO POLE x[1] = 0.1074 y2[1] (analytic) = 1.9942381616475778422468646887649 y2[1] (numeric) = 1.9942380875935235104454492918062 absolute error = 7.40540543318014153969587e-08 relative error = 3.7134007239446389831098289999440e-06 % h = 0.0001 y1[1] (analytic) = 0.89280635315633266215645538850346 y1[1] (numeric) = 0.89280635329329140455747102303704 absolute error = 1.3695874240101563453358e-10 relative error = 1.5340251770927285343654648280971e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.4MB, time=75.32 NO POLE NO POLE x[1] = 0.1075 y2[1] (analytic) = 1.9942274373117205370256484736392 y2[1] (numeric) = 1.9942273602131541124637232311685 absolute error = 7.70985664245619252424707e-08 relative error = 3.8660869358257925865772802360662e-06 % h = 0.0001 y1[1] (analytic) = 0.89270692987630184450411893934616 y1[1] (numeric) = 0.89270693002081753616739033910338 absolute error = 1.4451569166327139975722e-10 relative error = 1.6188480992669817422382266108716e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.4MB, time=75.99 memory used=423.4MB, alloc=4.4MB, time=76.68 NO POLE NO POLE x[1] = 0.1076 y2[1] (analytic) = 1.9942167030335888669724555297596 y2[1] (numeric) = 1.9942166228081465278271483950961 absolute error = 8.02254423391453071346635e-08 relative error = 4.0229049439364794521338606603488e-06 % h = 0.0001 y1[1] (analytic) = 0.89260750766920172719465512774823 y1[1] (numeric) = 0.89260750782158292834121193147423 absolute error = 1.5238120114655680372600e-10 relative error = 1.7071467564109815169804727814343e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.4MB, time=77.35 NO POLE NO POLE x[1] = 0.1077 y2[1] (analytic) = 1.9942059588132901748685131053403 y2[1] (numeric) = 1.9942058753775065344655521288868 absolute error = 8.34357836404029609764535e-08 relative error = 4.1839100556120007123569809078341e-06 % h = 0.0001 y1[1] (analytic) = 0.89250808653602653229823660841207 y1[1] (numeric) = 0.89250808669659009460879424597757 absolute error = 1.6056356231055763756550e-10 relative error = 1.7990152104249467728173986988878e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.4MB, time=78.04 memory used=434.8MB, alloc=4.4MB, time=78.73 NO POLE NO POLE x[1] = 0.1078 y2[1] (analytic) = 1.9941952046509319029167185862516 y2[1] (numeric) = 1.9941951179202399210480109930193 absolute error = 8.67306919818687075932323e-08 relative error = 4.3491575839512776890206313758693e-06 % h = 0.0001 y1[1] (analytic) = 0.89240866647777047114578682085902 y1[1] (numeric) = 0.89240866664684164792166586609748 absolute error = 1.6907117677587904523846e-10 relative error = 1.8945487995223378745496492211458e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=438.6MB, alloc=4.4MB, time=79.42 NO POLE NO POLE x[1] = 0.1079 y2[1] (analytic) = 1.9941844405466215927405650739918 y2[1] (numeric) = 1.9941843504353524869927928764546 absolute error = 9.01112691057477721975372e-08 relative error = 4.5187028478192100786612577068235e-06 % h = 0.0001 y1[1] (analytic) = 0.89230924749542774431903787612839 y1[1] (numeric) = 0.89230924767334030065195109094608 absolute error = 1.7791255633291321481769e-10 relative error = 1.9938441390390818664787786779588e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.4MB, time=80.10 memory used=446.3MB, alloc=4.4MB, time=80.81 NO POLE NO POLE x[1] = 0.108 y2[1] (analytic) = 1.9941736665004668853830659694533 y2[1] (numeric) = 1.9941735729218500424772990024445 absolute error = 9.35786168429057669670088e-08 relative error = 4.6926011718490345383392843264975e-06 % h = 0.0001 y1[1] (analytic) = 0.89220982958999254164058855096841 y1[1] (numeric) = 0.89220982977708886459129451902946 absolute error = 1.8709632295070596806105e-10 relative error = 2.0969991222433011760287293246426e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.4MB, time=81.48 NO POLE NO POLE x[1] = 0.1081 y2[1] (analytic) = 1.9941628825125755213056785624931 y2[1] (numeric) = 1.9941627853787384084480058267497 absolute error = 9.71338371128576727357434e-08 relative error = 4.8709078864446836717563652398303e-06 % h = 0.0001 y1[1] (analytic) = 0.89211041276245904216396238961858 y1[1] (numeric) = 0.89211041295909025094978463781848 absolute error = 1.9663120878582224819990e-10 relative error = 2.2041129211455461135467094471689e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.4MB, time=82.15 memory used=457.7MB, alloc=4.4MB, time=82.84 NO POLE NO POLE x[1] = 0.1082 y2[1] (analytic) = 1.9941520885830553403872266273193 y2[1] (numeric) = 1.9941519878050234166304068281667 absolute error = 1.007780319237568197991526e-07 relative error = 5.0536783277831454158887142457739e-06 % h = 0.0001 y1[1] (analytic) = 0.89201099701382141416366591328264 y1[1] (numeric) = 0.89201099722034747035487641913507 absolute error = 2.0652605619121050585243e-10 relative error = 2.3152859873095314899871832224814e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.4MB, time=83.53 NO POLE NO POLE x[1] = 0.1083 y2[1] (analytic) = 1.9941412847120142819228220237039 y2[1] (numeric) = 1.9941411801997109095389541912644 absolute error = 1.045123033723838678324395e-07 relative error = 5.2409678378168228282967535904767e-06 % h = 0.0001 y1[1] (analytic) = 0.89191158234507381512524693739185 y1[1] (numeric) = 0.8919115825618636328503129203649 absolute error = 2.1678981772506598297305e-10 relative error = 2.4306200526633776744004874213524e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=465.3MB, alloc=4.4MB, time=84.23 NO POLE NO POLE memory used=469.2MB, alloc=4.4MB, time=84.93 x[1] = 0.1084 y2[1] (analytic) = 1.9941304708995603846227853040322 y2[1] (numeric) = 1.9941303625618067404870003812313 absolute error = 1.083377536441357849228009e-07 relative error = 5.4328317642758942752713573860206e-06 % h = 0.0001 y1[1] (analytic) = 0.89181216875721039173535299675779 y1[1] (numeric) = 0.89181216898464194789504589150716 absolute error = 2.2743155615969289474937e-10 relative error = 2.5502181303113564133720569665738e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.4MB, time=85.62 NO POLE NO POLE x[1] = 0.1085 y2[1] (analytic) = 1.9941196471458017866115653262008 y2[1] (numeric) = 1.994119534890316773596739610734 absolute error = 1.122554850130148257154668e-07 relative error = 5.6293254606706740209770987268510e-06 % h = 0.0001 y1[1] (analytic) = 0.89171275625122527987178987871414 y1[1] (numeric) = 0.89171275648968572436215538807225 absolute error = 2.3846044449036550935811e-10 relative error = 2.6741845153461417347768195062293e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.4MB, time=86.29 NO POLE NO POLE x[1] = 0.1086 y2[1] (analytic) = 1.994108813450846725426657872374 y2[1] (numeric) = 1.9941086971842468838091491986866 absolute error = 1.162665998416175086736874e-07 relative error = 5.8305042862939732177528916190998e-06 % h = 0.0001 y1[1] (analytic) = 0.89161334482811260459358026434694 y1[1] (numeric) = 0.89161334507799837053776838983819 absolute error = 2.4988576594418812549125e-10 relative error = 2.8026247856615662584338528494158e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.4MB, time=86.96 memory used=484.4MB, alloc=4.4MB, time=87.65 NO POLE NO POLE x[1] = 0.1087 y2[1] (analytic) = 1.9940979698148035380175232736096 y2[1] (numeric) = 1.9940978494426029568939308208328 absolute error = 1.203722005811235924527768e-07 relative error = 6.0364236062234612977304060498383e-06 % h = 0.0001 y1[1] (analytic) = 0.89151393448886648013102247791261 y1[1] (numeric) = 0.89151393475058339411997642547659 absolute error = 2.6171691398895394756398e-10 relative error = 2.9356458027658832364702364940755e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.4MB, time=88.33 NO POLE NO POLE x[1] = 0.1088 y2[1] (analytic) = 1.9940871162377806607445030403653 y2[1] (numeric) = 1.9940869916643908894594516520406 absolute error = 1.245733897712850513883247e-07 relative error = 6.2471387913240277659307772089501e-06 % h = 0.0001 y1[1] (analytic) = 0.89141452523448100987574934454329 y1[1] (numeric) = 0.89141452550844440221775220305892 absolute error = 2.7396339234200285851563e-10 relative error = 3.0733557125955346464199646919138e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.4MB, time=88.99 memory used=495.9MB, alloc=4.4MB, time=89.68 NO POLE NO POLE x[1] = 0.1089 y2[1] (analytic) = 1.9940762527198866293777354988961 y2[1] (numeric) = 1.9940761238486165889626854002105 absolute error = 1.288712700404150500986856e-07 relative error = 6.4627052182501443950000770045207e-06 % h = 0.0001 y1[1] (analytic) = 0.89131511706595028637078715633878 y1[1] (numeric) = 0.89131511735258510134986524645401 absolute error = 2.8663481497907809011523e-10 relative error = 3.2158639463294256603104204723759e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.4MB, time=90.35 NO POLE NO POLE x[1] = 0.109 y2[1] (analytic) = 1.9940653792612300790960704335539 y2[1] (numeric) = 1.9940652459942859737191532316971 absolute error = 1.332669441053769172018568e-07 relative error = 6.6831782694482278217441436888072e-06 % h = 0.0001 y1[1] (analytic) = 0.89121570998426839130061474694456 y1[1] (numeric) = 0.89121571028400929744379653762757 absolute error = 2.9974090614318179068301e-10 relative error = 3.3632812212037058132066223069484e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.4MB, time=91.03 memory used=507.3MB, alloc=4.4MB, time=91.70 NO POLE NO POLE x[1] = 0.1091 y2[1] (analytic) = 1.994054495861919744485982735 y2[1] (numeric) = 1.9940543581004049729128645881459 absolute error = 1.377615147715731181468541e-07 relative error = 6.9086133331590025456232824829970e-06 % h = 0.0001 y1[1] (analytic) = 0.89111630399042939548122267471527 y1[1] (numeric) = 0.8911163043037208958346521648546 absolute error = 3.1329150035342949013933e-10 relative error = 3.5157195413270571949071627343929e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.4MB, time=92.36 NO POLE NO POLE x[1] = 0.1092 y2[1] (analytic) = 1.9940436025220644595404850543411 y2[1] (numeric) = 1.994043460165979526606257894645 absolute error = 1.423560849329342271596961e-07 relative error = 7.1390658034198643293674878280466e-06 % h = 0.0001 y1[1] (analytic) = 0.89101689908542735885017251456312 y1[1] (numeric) = 0.89101689941272390126407597685554 absolute error = 3.2729654241390346229242e-10 relative error = 3.6732921984964899887063771872081e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=514.9MB, alloc=4.4MB, time=93.02 memory used=518.8MB, alloc=4.4MB, time=93.71 NO POLE NO POLE x[1] = 0.1093 y2[1] (analytic) = 1.9940326992417731576580394631999 y2[1] (numeric) = 1.994032552190015585750141159092 absolute error = 1.470517575719078983041079e-07 relative error = 7.3745910800672440018728703353784e-06 % h = 0.0001 y1[1] (analytic) = 0.89091749527025633045665625859053 y1[1] (numeric) = 0.89091749561202241787916124286705 absolute error = 3.4176608742250498427652e-10 relative error = 3.8361137730136456813616548355275e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.4MB, time=94.38 NO POLE NO POLE x[1] = 0.1094 y2[1] (analytic) = 1.9940217860211548716414681197318 y2[1] (numeric) = 1.9940216341715191121936324626781 absolute error = 1.518496357594478356570537e-07 relative error = 7.6152445687389716635399437942642e-06 % h = 0.0001 y1[1] (analytic) = 0.89081809254591034845155582560653 y1[1] (numeric) = 0.89081809290262064923136131865832 absolute error = 3.5671030077980549305179e-10 relative error = 4.0043001345016082686245164072221e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.4MB, time=95.05 memory used=530.2MB, alloc=4.4MB, time=95.75 NO POLE NO POLE x[1] = 0.1095 y2[1] (analytic) = 1.9940108628603187336968629405976 y2[1] (numeric) = 1.9940107061094960786941003413884 absolute error = 1.567508226550027625992092e-07 relative error = 7.8610816808766412942145352947692e-06 % h = 0.0001 y1[1] (analytic) = 0.89071869091338344007750267962617 y1[1] (numeric) = 0.89071869128552289827539931850373 absolute error = 3.7213945819789663887756e-10 relative error = 4.1779684427222237809186742548651e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.4MB, time=96.45 NO POLE NO POLE x[1] = 0.1096 y2[1] (analytic) = 1.9939999297593739754324942789029 y2[1] (numeric) = 1.99399976800295246892710405842 absolute error = 1.617564215065053902204829e-07 relative error = 8.1121578337279757638920287658771e-06 % h = 0.0001 y1[1] (analytic) = 0.89061929037366962165893755745254 y1[1] (numeric) = 0.89061929076173356736817679312284 absolute error = 3.8806394570923923567030e-10 relative error = 4.3572371483939284539686680176220e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.4MB, time=97.14 NO POLE NO POLE x[1] = 0.1097 y2[1] (analytic) = 1.9939889867184299278577186081169 y2[1] (numeric) = 1.9939888198508942774963337674181 absolute error = 1.668675356503613848406988e-07 relative error = 8.3685284503491922463458602652124e-06 % h = 0.0001 y1[1] (analytic) = 0.89051989092776289859217030544061 y1[1] (numeric) = 0.89051989133225715826768141359862 absolute error = 4.0449425967551110815801e-10 relative error = 4.5422259940100858694089367709856e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=541.6MB, alloc=4.4MB, time=97.83 memory used=545.5MB, alloc=4.4MB, time=98.53 NO POLE NO POLE x[1] = 0.1098 y2[1] (analytic) = 1.9939780337375960213818852119796 y2[1] (numeric) = 1.9939778616523275099435505664308 absolute error = 1.720852685114383346455488e-07 relative error = 8.6302489596073680358410102711020e-06 % h = 0.0001 y1[1] (analytic) = 0.89042049257665726533543982554245 y1[1] (numeric) = 0.89042049299809827213189366128477 absolute error = 4.2144100679645383574232e-10 relative error = 4.7330560146578333906214260871920e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.4MB, time=99.22 NO POLE NO POLE x[1] = 0.1099 y2[1] (analytic) = 1.993967070816981785813241880409 y2[1] (numeric) = 1.9939668934062581827585264424833 absolute error = 1.774107236030547154379257e-07 relative error = 8.8973747961828067670934061770431e-06 % h = 0.0001 y1[1] (analytic) = 0.89032109532134670539897413073309 y1[1] (numeric) = 0.89032109576026160951769252371317 absolute error = 4.3891490411871839298008e-10 relative error = 4.9298495388374382192783349283567e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.4MB, time=99.90 memory used=556.9MB, alloc=4.4MB, time=100.60 NO POLE NO POLE x[1] = 0.11 y2[1] (analytic) = 1.9939560979566968503578396114198 y2[1] (numeric) = 1.9939559151116923233889841066717 absolute error = 1.828450045269688555047481e-07 relative error = 9.1699614005714050386362058277292e-06 % h = 0.0001 y1[1] (analytic) = 0.89022169916282519133505050991655 y1[1] (numeric) = 0.89022169961975197037976019651228 absolute error = 4.5692677904470968659573e-10 relative error = 5.1327301892821633982842758414925e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.4MB, time=101.27 NO POLE NO POLE x[1] = 0.1101 y2[1] (analytic) = 1.9939451151568509436184363190638 y2[1] (numeric) = 1.9939449267676359702505367196777 absolute error = 1.883892149733678995993861e-07 relative error = 9.4480642190870194397538501674780e-06 % h = 0.0001 y1[1] (analytic) = 0.89012230410208668472805580241131 y1[1] (numeric) = 0.89012230457757425406948579134757 absolute error = 4.7548756934142998893626e-10 relative error = 5.3418228837786440870412968431237e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.4MB, time=101.95 memory used=568.3MB, alloc=4.4MB, time=102.64 NO POLE NO POLE x[1] = 0.1102 y2[1] (analytic) = 1.9939341224175538935933995474028 y2[1] (numeric) = 1.993933928373095172736627507604 absolute error = 1.940444587208567720397988e-07 relative error = 9.7317387038638339811449159988607e-06 % h = 0.0001 y1[1] (analytic) = 0.89002291014012513618454678211479 y1[1] (numeric) = 0.89002291063473345933386804989484 absolute error = 4.9460832314932126778005e-10 relative error = 5.5572538359877744351778743539386e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.4MB, time=103.32 NO POLE NO POLE x[1] = 0.1103 y2[1] (analytic) = 1.9939231197389156276756081905265 y2[1] (numeric) = 1.9939229199270759912284692680318 absolute error = 1.998118396364471389224947e-07 relative error = 1.0021040312858727929474842493466e-05 % h = 0.0001 y1[1] (analytic) = 0.889923517277934485323310651446 y1[1] (numeric) = 0.88992351779223468431441706385747 absolute error = 5.1430019899110641241147e-10 relative error = 5.7791505562661053811132800379672e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.4MB, time=104.01 memory used=579.8MB, alloc=4.4MB, time=104.69 NO POLE NO POLE x[1] = 0.1104 y2[1] (analytic) = 1.9939121071210461726513532186242 y2[1] (numeric) = 1.9939119014285844971049837662003 absolute error = 2.056924616755463694524239e-07 relative error = 1.0316024509853644045979532406783e-05 % h = 0.0001 y1[1] (analytic) = 0.88982412551650866076542564516599 y1[1] (numeric) = 0.88982412605108312654605500103853 absolute error = 5.3457446578062935587254e-10 relative error = 6.0076418524877537020460414332771e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.4MB, time=105.36 NO POLE NO POLE x[1] = 0.1105 y2[1] (analytic) = 1.9939010845640556546992374101228 y2[1] (numeric) = 1.993900872876626772752741021209 absolute error = 2.116874288819464963889138e-07 relative error = 1.0616746764457957229281007035164e-05 % h = 0.0001 y1[1] (analytic) = 0.88972473485684158012432174417534 y1[1] (numeric) = 0.88972473541228408295601583747882 absolute error = 5.5544250283169409330348e-10 relative error = 6.2428578308668226421851681865441e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.4MB, time=106.05 memory used=591.2MB, alloc=4.4MB, time=106.75 NO POLE NO POLE x[1] = 0.1106 y2[1] (analytic) = 1.9938900520680542993890740899021 y2[1] (numeric) = 1.993889834270208911575898482144 absolute error = 2.177978453878131756077581e-07 relative error = 1.0923262552110843562576236342457e-05 % h = 0.0001 y1[1] (analytic) = 0.88962534529992714999584149938814 y1[1] (numeric) = 0.88962534587684294986274409567172 absolute error = 5.7691579986690259628358e-10 relative error = 6.4849298967803344462624855842313e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.4MB, time=107.42 NO POLE NO POLE x[1] = 0.1107 y2[1] (analytic) = 1.993879009633152431680784873597 y2[1] (numeric) = 1.993878785608337018006140094028 absolute error = 2.240248154136746447795690e-07 relative error = 1.1235627354083649765360308392552e-05 % h = 0.0001 y1[1] (analytic) = 0.88952595684675926594830096578185 y1[1] (numeric) = 0.88952595744576522297479258886601 absolute error = 5.9900595702649162308416e-10 relative error = 6.7339907555916751255925674117606e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.4MB, time=108.11 NO POLE NO POLE memory used=602.7MB, alloc=4.4MB, time=108.81 x[1] = 0.1108 y2[1] (analytic) = 1.9938679572594604759232964179994 y2[1] (numeric) = 1.9938677268900172075126152534952 absolute error = 2.303694432684106811645042e-07 relative error = 1.1553896657482263049845225195734e-05 % h = 0.0001 y1[1] (analytic) = 0.88942656949833181251255074672242 y1[1] (numeric) = 0.88942657012005649738971917146755 absolute error = 6.2172468487716842474513e-10 relative error = 6.9901744134745517841683345060510e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.4MB, time=109.49 NO POLE NO POLE x[1] = 0.1109 y2[1] (analytic) = 1.9938568949470889558534361775704 y2[1] (numeric) = 1.9938566581142556066118776540916 absolute error = 2.368328333492415585234788e-07 relative error = 1.1878125955249481382235574576527e-05 % h = 0.0001 y1[1] (analytic) = 0.88932718325563866317203714866406 y1[1] (numeric) = 0.88932718390072246759298249555094 absolute error = 6.4508380442094534688688e-10 relative error = 7.2536161782374628325075203061437e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.4MB, time=110.15 NO POLE NO POLE x[1] = 0.111 y2[1] (analytic) = 1.993845822696148494594827167072 y2[1] (numeric) = 1.9938455792800583528778240211011 absolute error = 2.434160901417170031459709e-07 relative error = 1.2208370746167384149022300214360e-05 % h = 0.0001 y1[1] (analytic) = 0.88922779811967368035286344632307 y1[1] (numeric) = 0.88922779878876892745683677349218 absolute error = 6.6909524710397332716911e-10 relative error = 7.5244526601486814171886849294185e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.4MB, time=110.83 memory used=617.9MB, alloc=4.4MB, time=111.51 NO POLE NO POLE x[1] = 0.1111 y2[1] (analytic) = 1.9938347405067498146567817303326 y2[1] (numeric) = 1.9938344903864315949516327357982 absolute error = 2.501203182197051489945344e-07 relative error = 1.2544686534859703228456065493191e-05 % h = 0.0001 y1[1] (analytic) = 0.8891284140914307154138512584251 y1[1] (numeric) = 0.88912841478520177023922554673333 absolute error = 6.9377105482537428830823e-10 relative error = 7.8028217727617523942406792142146e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.4MB, time=112.18 NO POLE NO POLE x[1] = 0.1112 y2[1] (analytic) = 1.9938236483790037379331943151542 y2[1] (numeric) = 1.9938233914323814925517023490281 absolute error = 2.569466222453814919661261e-07 relative error = 1.2887128831794194467361423590395e-05 % h = 0.0001 y1[1] (analytic) = 0.88902903117190360863660203412518 y1[1] (numeric) = 0.88902903189102698858267446069035 absolute error = 7.1912337994607242656517e-10 relative error = 8.0888627337415031747769840767474e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.4MB, time=112.87 memory used=629.4MB, alloc=4.4MB, time=113.59 NO POLE NO POLE x[1] = 0.1113 y2[1] (analytic) = 1.993812546313021185701433254375 y2[1] (numeric) = 1.9938122824169142164835899840142 absolute error = 2.638961069692178432703608e-07 relative error = 1.3235753153285009563453375047274e-05 % h = 0.0001 y1[1] (analytic) = 0.88892964936208618921555865020002 y1[1] (numeric) = 0.88892965010725067451318304581504 absolute error = 7.4516448529762439561502e-10 relative error = 8.3827160656905687714869563768590e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.4MB, time=114.29 NO POLE NO POLE x[1] = 0.1114 y2[1] (analytic) = 1.9938014343089131786212315530961 y2[1] (numeric) = 1.9938011633390359486499496282944 absolute error = 2.709698772299712819248017e-07 relative error = 1.3590615021495068353317610888184e-05 % h = 0.0001 y1[1] (analytic) = 0.88883026866297227524806711911186 y1[1] (numeric) = 0.88883026943487901943911550482231 absolute error = 7.7190674419104838571045e-10 relative error = 8.6845235969764313748274686573661e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.4MB, time=114.98 memory used=640.8MB, alloc=4.4MB, time=115.70 NO POLE NO POLE x[1] = 0.1115 y2[1] (analytic) = 1.9937903123667908367335766820852 y2[1] (numeric) = 1.9937900341977528820604703146864 absolute error = 2.781690379546731063673988e-07 relative error = 1.3951769964438431506216048018182e-05 % h = 0.0001 y1[1] (analytic) = 0.88873088907555567372443840804326 y1[1] (numeric) = 0.88873088987491831415009050609376 absolute error = 7.9936264042565209805050e-10 relative error = 8.9944284625589747879800450156616e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=644.6MB, alloc=4.4MB, time=116.40 NO POLE NO POLE x[1] = 0.1116 y2[1] (analytic) = 1.993779180486765379459599377368 y2[1] (numeric) = 1.9937788949920712208418141911822 absolute error = 2.854946941586177851861858e-07 relative error = 1.4319273515982673623879191136769e-05 % h = 0.0001 y1[1] (analytic) = 0.88863151060083018051801036900233 y1[1] (numeric) = 0.88863151142837494881586998326874 absolute error = 8.2754476829785961426641e-10 relative error = 9.3125751048185540498653247581449e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.4MB, time=117.08 memory used=652.3MB, alloc=4.4MB, time=117.76 NO POLE NO POLE x[1] = 0.1117 y2[1] (analytic) = 1.9937680386689481255994614460173 y2[1] (numeric) = 1.9937677457209971802475544796735 absolute error = 2.929479509453519069663438e-07 relative error = 1.4693181215851256746446782924264e-05 % h = 0.0001 y1[1] (analytic) = 0.88853213323978958037520978009757 y1[1] (numeric) = 0.88853213409625541298524694103397 absolute error = 8.5646583261003716093640e-10 relative error = 9.6391092743845805757353837805323e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.4MB, time=118.45 NO POLE NO POLE x[1] = 0.1118 y2[1] (analytic) = 1.9937568869134504933312425781528 y2[1] (numeric) = 1.9937565863835369866681133234075 absolute error = 3.005299135066631292547453e-07 relative error = 1.5073548609625904264718502946130e-05 % h = 0.0001 y1[1] (analytic) = 0.88843275699342764690561449808192 y1[1] (numeric) = 0.88843275787956629558493226712283 absolute error = 8.8613864867931776904091e-10 relative error = 9.9741780309646231450861083384101e-08 % h = 0.0001 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.4MB, time=119.14 memory used=663.7MB, alloc=4.4MB, time=119.81 NO POLE NO POLE x[1] = 0.1119 y2[1] (analytic) = 1.9937457252203840002098261651608 y2[1] (numeric) = 1.9937454169786968776406995230745 absolute error = 3.082416871225691266420863e-07 relative error = 1.5460431248748975238876227729741e-05 % h = 0.0001 y1[1] (analytic) = 0.88833338186273814257201572226527 y1[1] (numeric) = 0.88833338277931428491844055053551 absolute error = 9.1657614234642482827024e-10 relative error = 1.0317929744174025066862986942351e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.4MB, time=120.50 NO POLE NO POLE x[1] = 0.112 y2[1] (analytic) = 1.9937345535898602631657841241467 y2[1] (numeric) = 1.9937342375054831018592461614275 absolute error = 3.160843771613065379627192e-07 relative error = 1.5853884690525839123839648145163e-05 % h = 0.0001 y1[1] (analytic) = 0.88823400784871481868048036989479 y1[1] (numeric) = 0.88823400879650616866497490599111 absolute error = 9.4779134998449453609632e-10 relative error = 1.0670514094366037852157824420049e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=671.3MB, alloc=4.4MB, time=121.19 NO POLE NO POLE x[1] = 0.1121 y2[1] (analytic) = 1.9937233720219909985042607286298 y2[1] (numeric) = 1.9937230479629019191843481163346 memory used=675.2MB, alloc=4.4MB, time=121.88 absolute error = 3.240590890793199126122952e-07 relative error = 1.6253964498127250901416877526946e-05 % h = 0.0001 y1[1] (analytic) = 0.8881346349523514153704135631026 y1[1] (numeric) = 0.88813463593214883387831080462283 absolute error = 9.7979741850789724152023e-10 relative error = 1.1032082073462471724819311881716e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=679.0MB, alloc=4.4MB, time=122.58 NO POLE NO POLE x[1] = 0.1122 y2[1] (analytic) = 1.9937121805168880219038554454933 y2[1] (numeric) = 1.9937118483499596006531994621647 absolute error = 3.321669284212506559833286e-07 relative error = 1.6660726240591726619411907500253e-05 % h = 0.0001 y1[1] (analytic) = 0.88803526317464166160462122751994 y1[1] (numeric) = 0.88803526418724926698567891092749 absolute error = 1.01260760538105768340755e-09 relative error = 1.1402785985784863300632401378691e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.4MB, time=123.26 NO POLE NO POLE x[1] = 0.1123 y2[1] (analytic) = 1.9937009790746632484155047781987 y2[1] (numeric) = 1.9937006386656624284895307594074 absolute error = 3.404090008199259740187913e-07 relative error = 1.7074225492827919337850600795056e-05 % h = 0.0001 y1[1] (analytic) = 0.88793589251657927515937280265742 y1[1] (numeric) = 0.88793589356281455378664692598043 absolute error = 1.04623527862727412332301e-09 relative error = 1.1782779448886160765941571973456e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.4MB, time=123.95 memory used=690.4MB, alloc=4.4MB, time=124.66 NO POLE NO POLE x[1] = 0.1124 y2[1] (analytic) = 1.9936897676954286924613631162776 y2[1] (numeric) = 1.9936894189090166961135462324273 absolute error = 3.487864119963478168838503e-07 relative error = 1.7494517835616995482487174019903e-05 % h = 0.0001 y1[1] (analytic) = 0.88783652297915796261446406415063 y1[1] (numeric) = 0.8878365240598518794520004369271 absolute error = 1.08069391683753637277647e-09 relative error = 1.2172217394382926886826551264606e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=694.2MB, alloc=4.4MB, time=125.37 NO POLE NO POLE x[1] = 0.1125 y2[1] (analytic) = 1.9936785463792964678336825911111 y2[1] (numeric) = 1.9936781890790287081518608352537 absolute error = 3.573002677596818217558574e-07 relative error = 1.7921658855615011605752980798749e-05 % h = 0.0001 y1[1] (analytic) = 0.88773715456337141934328005797041 y1[1] (numeric) = 0.88773715567936852852262277276245 absolute error = 1.11599710917934271479204e-09 relative error = 1.2571256068788060180163922049825e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=698.1MB, alloc=4.4MB, time=126.06 memory used=701.9MB, alloc=4.4MB, time=126.76 NO POLE NO POLE x[1] = 0.1126 y2[1] (analytic) = 1.9936673151263787876936919380085 y2[1] (numeric) = 1.9936669491747047804474372053062 absolute error = 3.659516740072462547327023e-07 relative error = 1.8355704145355291555309544003387e-05 % h = 0.0001 y1[1] (analytic) = 0.88763778727021332950285814669733 y1[1] (numeric) = 0.88763778842237188490837386640933 absolute error = 1.15215855540551571971200e-09 relative error = 1.2980053034344034578133864047034e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.4MB, time=127.44 NO POLE NO POLE x[1] = 0.1127 y2[1] (analytic) = 1.9936560739367879645704743645952 y2[1] (numeric) = 1.9936556991950512400695225049568 absolute error = 3.747417367245009518596384e-07 relative error = 1.8796709303250804050367728544541e-05 % h = 0.0001 y1[1] (analytic) = 0.88753842110067736602395116795956 y1[1] (numeric) = 0.88753842228986943188696812310716 absolute error = 1.18919206586301695514760e-09 relative error = 1.3398767169856657917963690002689e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.4MB, time=128.12 memory used=713.3MB, alloc=4.4MB, time=128.83 NO POLE NO POLE x[1] = 0.1128 y2[1] (analytic) = 1.9936448228106364103598444255236 y2[1] (numeric) = 1.9936444391390744253235851508291 absolute error = 3.836715619850362592746945e-07 relative error = 1.9244729933596540665935179851627e-05 % h = 0.0001 y1[1] (analytic) = 0.88743905605575719060109070513365 y1[1] (numeric) = 0.887439057282868752102851295122 absolute error = 1.22711156150176058998835e-09 relative error = 1.3827558671529349588922389586883e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.4MB, time=129.52 NO POLE NO POLE x[1] = 0.1129 y2[1] (analytic) = 1.9936335617480366363232239035154 y2[1] (numeric) = 1.9936331690057806857612514307354 absolute error = 3.927422559505619724727800e-07 relative error = 1.9699821646571894225153910348175e-05 % h = 0.0001 y1[1] (analytic) = 0.88733969213644645368265047040748 y1[1] (numeric) = 0.88733969340237752756607636278938 absolute error = 1.26593107388342589238190e-09 relative error = 1.4266589053797937668813930953615e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.4MB, time=130.19 memory used=724.8MB, alloc=4.4MB, time=130.89 NO POLE NO POLE x[1] = 0.113 y2[1] (analytic) = 1.9936222907491012530865166967484 y2[1] (numeric) = 1.9936218887941763821902420081522 absolute error = 4.019549248708962746885962e-07 relative error = 2.0162040058243037599890205104924e-05 % h = 0.0001 y1[1] (analytic) = 0.8872403293437387944609098003048 y1[1] (numeric) = 0.88724033064940353965117842190099 absolute error = 1.30566474519026862159619e-09 relative error = 1.4716021150165975882440524387764e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.4MB, time=131.58 NO POLE NO POLE x[1] = 0.1131 y2[1] (analytic) = 1.9936110098139429706389827125988 y2[1] (numeric) = 1.9936105985032678866843083141345 absolute error = 4.113106750839546743984643e-07 relative error = 2.0631440790565302919738955635643e-05 % h = 0.0001 y1[1] (analytic) = 0.88714096767862784086211726377074 y1[1] (numeric) = 0.88714096902495466909604857744659 absolute error = 1.34632682823393131367585e-09 relative error = 1.5176019114040580714738787351799e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.4MB, time=132.25 NO POLE NO POLE memory used=736.2MB, alloc=4.4MB, time=132.94 x[1] = 0.1132 y2[1] (analytic) = 1.9935997189426745983321107677489 y2[1] (numeric) = 1.9935992981320615825931688265702 absolute error = 4.208106130157389419411787e-07 relative error = 2.1108079471385561189604468595555e-05 % h = 0.0001 y1[1] (analytic) = 0.88704160714210720953655438291757 y1[1] (numeric) = 0.88704160853003889600080684372235 absolute error = 1.38793168646425246080478e-09 relative error = 1.5646748419568789011519712138074e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.4MB, time=133.63 NO POLE NO POLE x[1] = 0.1133 y2[1] (analytic) = 1.9935884181354090448784904946734 y2[1] (numeric) = 1.9935879876795638645524452366746 absolute error = 4.304558451803260452579988e-07 relative error = 2.1592011734444602316020065010150e-05 % h = 0.0001 y1[1] (analytic) = 0.88694224773517050584859946653018 y1[1] (numeric) = 0.88694224916566429982667405081691 absolute error = 1.43049379397807458428673e-09 relative error = 1.6128375862474436400970791606247e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.4MB, time=134.34 NO POLE NO POLE x[1] = 0.1134 y2[1] (analytic) = 1.9935771073922593183506832545148 y2[1] (numeric) = 1.9935766671447811384935985026258 absolute error = 4.402474781798570847518890e-07 relative error = 2.2083293219379515542368648253947e-05 % h = 0.0001 y1[1] (analytic) = 0.88684288945881132386679155643061 y1[1] (numeric) = 0.88684289093283905939484275748641 absolute error = 1.47402773552805120105580e-09 relative error = 1.6621069560895556869308649024687e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=747.6MB, alloc=4.4MB, time=135.02 memory used=751.5MB, alloc=4.4MB, time=135.71 NO POLE NO POLE x[1] = 0.1135 y2[1] (analytic) = 1.9935657867133385261800920563583 y2[1] (numeric) = 1.993565336526719821653864790242 absolute error = 4.501866187045262272661163e-07 relative error = 2.2581979571726070293166442114886e-05 % h = 0.0001 y1[1] (analytic) = 0.88674353231402324635389448680087 y1[1] (numeric) = 0.88674353383257145288534717042983 absolute error = 1.51854820653145268362896e-09 relative error = 1.7124998956222303824201581589262e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.4MB, time=136.40 NO POLE NO POLE x[1] = 0.1136 y2[1] (analytic) = 1.9935544560987598751558304829188 y2[1] (numeric) = 1.9935539958243863425861913006007 absolute error = 4.602743735325696391823181e-07 relative error = 2.3088126442921097427572298978072e-05 % h = 0.0001 y1[1] (analytic) = 0.88664417630179984475696105656365 y1[1] (numeric) = 0.88664417786586985783593206997589 absolute error = 1.56407001307897101341224e-09 relative error = 1.7640334813935392979805557188618e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.4MB, time=137.08 memory used=762.9MB, alloc=4.4MB, time=137.76 NO POLE NO POLE x[1] = 0.1137 y2[1] (analytic) = 1.9935431155486366714235906226508 y2[1] (numeric) = 1.993542645036787141169171984501 absolute error = 4.705118495302544186381498e-07 relative error = 2.3601789490304870902284865881727e-05 % h = 0.0001 y1[1] (analytic) = 0.88654482142313467919739731492003 y1[1] (numeric) = 0.88654482303374275114092074219287 absolute error = 1.61060807194352342727284e-09 relative error = 1.8167249224445067397493342569805e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.4MB, time=138.46 NO POLE NO POLE x[1] = 0.1138 y2[1] (analytic) = 1.9935317650630823204845100082923 y2[1] (numeric) = 1.9935312841629286686169831436694 absolute error = 4.809001536518675268646229e-07 relative error = 2.4123024377123489843989989591738e-05 % h = 0.0001 y1[1] (analytic) = 0.88644546767902129846102696014371 y1[1] (numeric) = 0.88644546933719870905008191743262 absolute error = 1.65817741058905495728891e-09 relative error = 1.8705915603930585016580347466041e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.4MB, time=139.12 memory used=774.3MB, alloc=4.4MB, time=139.78 NO POLE NO POLE x[1] = 0.1139 y2[1] (analytic) = 1.9935204046422103271940375618546 y2[1] (numeric) = 1.9935199132018173874893189186096 absolute error = 4.914403929397047186432450e-07 relative error = 2.4651886772531261031520815189392e-05 % h = 0.0001 y1[1] (analytic) = 0.88634611507045323998815585173106 y1[1] (numeric) = 0.88634611677724640716749571532016 absolute error = 1.70679316717933986358910e-09 relative error = 1.9256508695180229009584430148329e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.4MB, time=140.48 NO POLE NO POLE x[1] = 0.114 y2[1] (analytic) = 1.9935090342861342957607985460685 y2[1] (numeric) = 1.9935085321524597717013266629976 absolute error = 5.021336745240594718830709e-07 relative error = 2.5188432351593081787892960561776e-05 % h = 0.0001 y1[1] (analytic) = 0.88624676359842402986363663600634 y1[1] (numeric) = 0.88624676535489462045041859620009 absolute error = 1.75647059058678196019375e-09 relative error = 1.9819204568431841296784200674692e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.4MB, time=141.18 memory used=785.8MB, alloc=4.4MB, time=141.91 NO POLE NO POLE x[1] = 0.1141 y2[1] (analytic) = 1.9934976539949679297454585222991 y2[1] (numeric) = 1.9934971410138623065335422045217 absolute error = 5.129811056232119163177774e-07 relative error = 2.5732716795286823282377358003736e-05 % h = 0.0001 y1[1] (analytic) = 0.88614741326392718280693348528143 y1[1] (numeric) = 0.88614741507115222320814731905132 absolute error = 1.80722504040121383376989e-09 relative error = 2.0394180622213879555073797770936e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.4MB, time=142.61 NO POLE NO POLE x[1] = 0.1142 y2[1] (analytic) = 1.9934862637688250320595863149402 y2[1] (numeric) = 1.9934857397850314886418249920689 absolute error = 5.239837935434177613228713e-07 relative error = 2.6284795790505714242773236923482e-05 % h = 0.0001 y1[1] (analytic) = 0.8860480640679562021621869506695 y1[1] (numeric) = 0.88604806592702818910088190588134 absolute error = 1.85907198693869495521184e-09 relative error = 2.0981615584186998056338054481197e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.4MB, time=143.31 memory used=797.2MB, alloc=4.4MB, time=144.03 NO POLE NO POLE x[1] = 0.1143 y2[1] (analytic) = 1.9934748636078195049645159822992 y2[1] (numeric) = 1.9934743284649738260672931291581 absolute error = 5.351428456788972228531411e-07 relative error = 2.6844725030060725078043810107106e-05 % h = 0.0001 y1[1] (analytic) = 0.88594871601150457988827892865187 y1[1] (numeric) = 0.88594871792353159113858761261151 absolute error = 1.91202701125030868395964e-09 relative error = 2.1581689511986152670807329011907e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=801.0MB, alloc=4.4MB, time=144.75 NO POLE NO POLE x[1] = 0.1144 y2[1] (analytic) = 1.9934634535120653500702077939853 y2[1] (numeric) = 1.9934629070526958382462582935205 absolute error = 5.464593695118239495004648e-07 relative error = 2.7412560212682952411477359627501e-05 % h = 0.0001 y1[1] (analytic) = 0.88584936909556579654889774149746 y1[1] (numeric) = 0.88584937106167160167985590646464 absolute error = 1.96610580513095816496718e-09 relative error = 2.2194583794063230371077783538184e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.4MB, time=145.45 NO POLE NO POLE memory used=808.7MB, alloc=4.4MB, time=146.16 x[1] = 0.1145 y2[1] (analytic) = 1.9934520334816766683341082148102 y2[1] (numeric) = 1.9934514755472040560201605427283 absolute error = 5.579344726123139476720819e-07 relative error = 2.7988357043026004024536241117065e-05 % h = 0.0001 y1[1] (analytic) = 0.88575002332113332130260333163422 y1[1] (numeric) = 0.88575002534245749243076444986634 absolute error = 2.02132417112816111823212e-09 relative error = 2.2820481150530203572716115176710e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=812.5MB, alloc=4.4MB, time=146.89 NO POLE NO POLE x[1] = 0.1146 y2[1] (analytic) = 1.9934406035167676600600088952151 y2[1] (numeric) = 1.9934400339475050216455030057722 absolute error = 5.695692626384145058894429e-07 relative error = 2.8572171231668384211556624326220e-05 % h = 0.0001 y1[1] (analytic) = 0.88565067868920061189289257007174 y1[1] (numeric) = 0.88565068076689863444373609087153 absolute error = 2.07769802255084352079979e-09 relative error = 2.3459565634002809647599783538410e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.4MB, time=147.60 NO POLE NO POLE x[1] = 0.1147 y2[1] (analytic) = 1.9934291636174526248969046682334 y2[1] (numeric) = 1.9934285822526052888037864604876 absolute error = 5.813648473360931182077458e-07 relative error = 2.9164058495115879545461635639613e-05 % h = 0.0001 y1[1] (analytic) = 0.88555133520076111463826467897465 y1[1] (numeric) = 0.88555133733600449811639686012743 absolute error = 2.13524338347813218115278e-09 relative error = 2.4112022630444755946369442373545e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.4MB, time=148.30 memory used=823.9MB, alloc=4.4MB, time=149.03 NO POLE NO POLE x[1] = 0.1148 y2[1] (analytic) = 1.9934177137838459618378505530019 y2[1] (numeric) = 1.9934171204615114226114437967319 absolute error = 5.933223345392264067562700e-07 relative error = 2.9764074555803945054650651754731e-05 % h = 0.0001 y1[1] (analytic) = 0.88545199285680826442228676848583 y1[1] (numeric) = 0.88545199505078465319043297438462 absolute error = 2.19397638876814620589879e-09 relative error = 2.4778038860012450666611245442140e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.4MB, time=149.74 NO POLE NO POLE x[1] = 0.1149 y2[1] (analytic) = 1.9934062540160621692188177648311 y2[1] (numeric) = 1.9934056485732299996297743652115 absolute error = 6.054428321695890433996196e-07 relative error = 3.0372275142100090811227612395684e-05 % h = 0.0001 y1[1] (analytic) = 0.88535265165833548468365948789907 y1[1] (numeric) = 0.8853526539122487687504468465674 absolute error = 2.25391328406678735866833e-09 relative error = 2.5457802377900259903607058105394e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.4MB, time=150.43 memory used=835.4MB, alloc=4.4MB, time=151.16 NO POLE NO POLE x[1] = 0.115 y2[1] (analytic) = 1.9933947843142158447175487318465 y2[1] (numeric) = 1.9933941665867676078748782118606 absolute error = 6.177274482368426705199859e-07 relative error = 3.0988715988306268930731147994455e-05 % h = 0.0001 y1[1] (analytic) = 0.8852533116063361874062827912803 y1[1] (numeric) = 0.88525331392140661322281210241506 absolute error = 2.31507042581652931113476e-09 relative error = 2.6151502575186291220732364935632e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.4MB, time=151.87 NO POLE NO POLE x[1] = 0.1151 y2[1] (analytic) = 1.9933833046784216853524111182121 y2[1] (numeric) = 1.993382674501130846827590197672 absolute error = 6.301772908385248209205401e-07 relative error = 3.1613452834661260983529416907026e-05 % h = 0.0001 y1[1] (analytic) = 0.88515397270180377310932181763692 y1[1] (numeric) = 0.88515397507926805437452760370538 absolute error = 2.37746428126520578606846e-09 relative error = 2.6859330179678704076805528649195e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.4MB, time=152.57 memory used=846.8MB, alloc=4.4MB, time=153.32 NO POLE NO POLE x[1] = 0.1152 y2[1] (analytic) = 1.9933718151087944874812508539478 y2[1] (numeric) = 1.9933711723153263274434140038804 absolute error = 6.427934681600378368500674e-07 relative error = 3.2246541427343065818042595220775e-05 % h = 0.0001 y1[1] (analytic) = 0.88505463494573163083727288573437 y1[1] (numeric) = 0.88505463738684305931207047807194 absolute error = 2.44111142847479759233757e-09 relative error = 2.7581477256762547447931338014472e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=850.6MB, alloc=4.4MB, time=154.02 NO POLE NO POLE x[1] = 0.1153 y2[1] (analytic) = 1.9933603156054491468002441713515 y2[1] (numeric) = 1.9933596600283606721624560223992 absolute error = 6.555770884746377881489523e-07 relative error = 3.2888037518471287795955930449570e-05 % h = 0.0001 y1[1] (analytic) = 0.88495529833911313815002960365948 y1[1] (numeric) = 0.8849553008451416944802481554266 absolute error = 2.50602855633021855176712e-09 relative error = 2.8318137210247124981606893312233e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.4MB, time=154.71 memory used=858.3MB, alloc=4.4MB, time=155.43 NO POLE NO POLE x[1] = 0.1154 y2[1] (analytic) = 1.9933488061685006583427486480388 y2[1] (numeric) = 1.993348137639240514919359131411 absolute error = 6.685292601434233895166278e-07 relative error = 3.3537996866109525439586454383726e-05 % h = 0.0001 y1[1] (analytic) = 0.88485596288294166111294909322981 y1[1] (numeric) = 0.8848559654551741256610494109987 absolute error = 2.57223246454810031776889e-09 relative error = 2.9069504783213888021096037533939e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.4MB, time=156.14 NO POLE NO POLE x[1] = 0.1155 y2[1] (analytic) = 1.9933372867980641164781532566102 y2[1] (numeric) = 1.9933366051469725011532363560131 absolute error = 6.816510916153249169005971e-07 relative error = 3.4196475234267760491566283187532e-05 % h = 0.0001 y1[1] (analytic) = 0.88475662857821055428691832934833 y1[1] (numeric) = 0.88475663121795061797249441500244 absolute error = 2.63974006368557608565411e-09 relative error = 2.9835776058864856838308402584547e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.4MB, time=156.84 memory used=869.7MB, alloc=4.4MB, time=157.56 NO POLE NO POLE x[1] = 0.1156 y2[1] (analytic) = 1.993325757494254714910727420958 y2[1] (numeric) = 1.9933250625505632878176044138177 absolute error = 6.949436914270931230071403e-07 relative error = 3.4863528392904747387005667008108e-05 % h = 0.0001 y1[1] (analytic) = 0.88465729542591316071842059440288 y1[1] (numeric) = 0.88465729813448153586748378894396 absolute error = 2.70856837514906319454108e-09 relative error = 3.0617148461371570413651431557369e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=873.5MB, alloc=4.4MB, time=158.25 NO POLE NO POLE x[1] = 0.1157 y2[1] (analytic) = 1.9933142182571877466784690792248 y2[1] (numeric) = 1.993313509849019543390317145409 absolute error = 7.084081682032881519338158e-07 relative error = 3.5539212117930403138298849434065e-05 % h = 0.0001 y1[1] (analytic) = 0.88455796342704281192960204780957 y1[1] (numeric) = 0.88455796620577734313264666857959 absolute error = 2.77873453120304462077002e-09 relative error = 3.1413820756724565101559141649267e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=877.3MB, alloc=4.4MB, time=158.97 NO POLE NO POLE x[1] = 0.1158 y2[1] (analytic) = 1.9933026690869786041519517534242 y2[1] (numeric) = 1.9933019470413479478834988295559 absolute error = 7.220456306562684529238683e-07 relative error = 3.6223582191208197632735946066848e-05 % h = 0.0001 y1[1] (analytic) = 0.8844586325825928279083384107996 y1[1] (numeric) = 0.88445863543284860288718777353685 absolute error = 2.85025577497884936273725e-09 relative error = 3.2225993053583382520631996477990e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.4MB, time=159.66 memory used=885.0MB, alloc=4.4MB, time=160.38 NO POLE NO POLE x[1] = 0.1159 y2[1] (analytic) = 1.9932911099837427790331706257364 y2[1] (numeric) = 1.9932903741265551928534773830827 absolute error = 7.358571875861796932426537e-07 relative error = 3.6916694400557544343084009775279e-05 % h = 0.0001 y1[1] (analytic) = 0.88435930289355651709830176654879 y1[1] (numeric) = 0.88435930581670597758173348360964 absolute error = 2.92314946048343171706085e-09 relative error = 3.3053866804127107007555971338590e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.4MB, time=161.10 NO POLE NO POLE x[1] = 0.116 y2[1] (analytic) = 1.993279540947595862354387621489 y2[1] (numeric) = 1.9932787911036479814107174452977 absolute error = 7.498439478809436701761913e-07 relative error = 3.7618604539756191451300493810963e-05 % h = 0.0001 y1[1] (analytic) = 0.88425997436092717638902747574917 y1[1] (numeric) = 0.8842599773583602289971769217393 absolute error = 2.99743305260814944599013e-09 relative error = 3.3897644804905432974204253575396e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.4MB, time=161.79 memory used=896.4MB, alloc=4.4MB, time=162.51 NO POLE NO POLE x[1] = 0.1161 y2[1] (analytic) = 1.9932679619786535444769754988352 y2[1] (numeric) = 1.9932671979716330282297533468799 absolute error = 7.640070205162472221519553e-07 relative error = 3.8329368408542613385542442839934e-05 % h = 0.0001 y1[1] (analytic) = 0.88416064698569809110598120772183 y1[1] (numeric) = 0.88416065005882221824352204369292 absolute error = 3.07312412713754083597109e-09 relative error = 3.4757531197690262507556821866568e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.4MB, time=163.22 NO POLE NO POLE x[1] = 0.1162 y2[1] (analytic) = 1.9932563730770316150902609451413 y2[1] (numeric) = 1.9932555947295170595591219631256 absolute error = 7.783475145555311389820157e-07 relative error = 3.9049041812618402770634685252798e-05 % h = 0.0001 y1[1] (analytic) = 0.8840613207688625350006260871706 y1[1] (numeric) = 0.88406132391910290575872673445059 absolute error = 3.15024037075810064727999e-09 relative error = 3.5633731470327833552306139569370e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=904.0MB, alloc=4.4MB, time=163.92 memory used=907.9MB, alloc=4.4MB, time=164.63 NO POLE NO POLE x[1] = 0.1163 y2[1] (analytic) = 1.9932447742428459632103666800944 y2[1] (numeric) = 1.9932439813763068132312954514549 absolute error = 7.928665391499790712286395e-07 relative error = 3.9777680563650662792160378892140e-05 % h = 0.0001 y1[1] (analytic) = 0.88396199571141377024048995667569 y1[1] (numeric) = 0.88396199894021335130754491131309 absolute error = 3.22879958106705495463740e-09 relative error = 3.6526452457591379016253868431872e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.4MB, time=165.31 NO POLE NO POLE x[1] = 0.1164 y2[1] (analytic) = 1.9932331654762125771790525655419 y2[1] (numeric) = 1.9932323579110090386726138730783 absolute error = 8.075652035385064386924636e-07 relative error = 4.0515340479274399974337326080702e-05 % h = 0.0001 y1[1] (analytic) = 0.88386267181434504739923275502665 y1[1] (numeric) = 0.88386267512316471398036763374163 absolute error = 3.30881966658113487871498e-09 relative error = 3.7435902342034317138836170517538e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.4MB, time=165.96 memory used=919.3MB, alloc=4.4MB, time=166.62 NO POLE NO POLE x[1] = 0.1165 y2[1] (analytic) = 1.9932215467772475446625557220749 y2[1] (numeric) = 1.9932207243326304969132176987255 absolute error = 8.224446170477493380233494e-07 relative error = 4.1262077383094917371843442273820e-05 % h = 0.0001 y1[1] (analytic) = 0.8837633490786496054467140114941 y1[1] (numeric) = 0.88376335246896825219206321994123 absolute error = 3.39031864674534920844713e-09 relative error = 3.8362290654843973463348113344254e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.4MB, time=167.27 NO POLE NO POLE x[1] = 0.1166 y2[1] (analytic) = 1.9932099181460670526504296523672 y2[1] (numeric) = 1.9932090806401779605969801983353 absolute error = 8.375058890920534494540319e-07 relative error = 4.2017947104690208175754941828467e-05 % h = 0.0001 y1[1] (analytic) = 0.88366402750532067173906045613937 y1[1] (numeric) = 0.8836640309786353236808163701993 absolute error = 3.47331465194175591405993e-09 relative error = 3.9305828276695834753675226551071e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=926.9MB, alloc=4.4MB, time=167.92 memory used=930.8MB, alloc=4.4MB, time=168.58 NO POLE NO POLE x[1] = 0.1167 y2[1] (analytic) = 1.9931982795827873874543823712802 y2[1] (numeric) = 1.9931974268326582139914397146088 absolute error = 8.527501291734629426566714e-07 relative error = 4.2783005479613349733760607294817e-05 % h = 0.0001 y1[1] (analytic) = 0.88356470709535146200873374626153 y1[1] (numeric) = 0.88356471065317738550696629699108 absolute error = 3.55782592349823255072955e-09 relative error = 4.0266727438608335196572083784453e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.4MB, time=169.22 NO POLE NO POLE x[1] = 0.1168 y2[1] (analytic) = 1.993186631087524934707113542747 y2[1] (numeric) = 1.9931857629090780529977318203257 absolute error = 8.681784468817093817224213e-07 relative error = 4.3557308349394897984815818280731e-05 % h = 0.0001 y1[1] (analytic) = 0.88346538784973518035459830908104 y1[1] (numeric) = 0.88346539149360599405184386186353 absolute error = 3.64387081369724555278249e-09 relative error = 4.1245201722798175230764534386908e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.4MB, time=169.90 NO POLE NO POLE memory used=942.2MB, alloc=4.4MB, time=170.58 x[1] = 0.1169 y2[1] (analytic) = 1.9931749726603961793611506234465 y2[1] (numeric) = 1.9931740888684442851605213593247 absolute error = 8.837919518942006292641218e-07 relative error = 4.4340911561545282308399869057466e-05 % h = 0.0001 y1[1] (analytic) = 0.8833660697694650192319893007594 y1[1] (numeric) = 0.88336607350093280501660771910931 absolute error = 3.73146778578461841834991e-09 relative error = 4.2241466063536173344385967121908e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=946.0MB, alloc=4.4MB, time=171.09 NO POLE NO POLE x[1] = 0.117 y2[1] (analytic) = 1.993163304301517705687684013279 y2[1] (numeric) = 1.9931624047097637296779343710485 absolute error = 8.995917539760097496422305e-07 relative error = 4.5133870969557200788540203040410e-05 % h = 0.0001 y1[1] (analytic) = 0.88326675285553415944278068185407 y1[1] (numeric) = 0.88326675667616957342107946624246 absolute error = 3.82063541397829878438839e-09 relative error = 4.3255736748003651182493957097657e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.4MB, time=171.38 NO POLE NO POLE x[1] = 0.1171 y2[1] (analytic) = 1.9931516260110061972754012126552 y2[1] (numeric) = 1.9931507104320432174114898985544 absolute error = 9.155789629798639113141008e-07 relative error = 4.5936242432908015892767226041116e-05 % h = 0.0001 y1[1] (analytic) = 0.88316743710893577012545340930797 y1[1] (numeric) = 0.88316744102032815360257780128747 absolute error = 3.91139238347712439197950e-09 relative error = 4.4288231417149352306649338655329e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=953.6MB, alloc=4.4MB, time=171.65 memory used=957.5MB, alloc=4.4MB, time=171.93 NO POLE NO POLE x[1] = 0.1172 y2[1] (analytic) = 1.9931399377889784370293199866104 y2[1] (numeric) = 1.9931390060342895908960316798907 absolute error = 9.317546888461332883067197e-07 relative error = 4.6748081817062150566163434103880e-05 % h = 0.0001 y1[1] (analytic) = 0.883068122530663008745163745073 y1[1] (numeric) = 0.8830681265344204992147516868934 absolute error = 4.00375749046958794182040e-09 relative error = 4.5339169066546894948773349031954e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=961.3MB, alloc=4.4MB, time=172.20 NO POLE NO POLE x[1] = 0.1173 y2[1] (analytic) = 1.9931282396355513071696205357551 y2[1] (numeric) = 1.9931272915155097043496597227399 absolute error = 9.481200416028199608130152e-07 relative error = 4.7569444993473484740670560314035e-05 % h = 0.0001 y1[1] (analytic) = 0.88296880912170902108381168146673 y1[1] (numeric) = 0.88296881321945866322641252128465 absolute error = 4.09774964214260083981792e-09 relative error = 4.6408770047252759101736679690251e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.4MB, time=172.48 memory used=968.9MB, alloc=4.4MB, time=172.76 NO POLE NO POLE x[1] = 0.1174 y2[1] (analytic) = 1.9931165315508417892304766740745 y2[1] (numeric) = 1.9931155668747104236836617622298 absolute error = 9.646761313655468149118447e-07 relative error = 4.8400387839587752259818544001394e-05 % h = 0.0001 y1[1] (analytic) = 0.88286949688306694123010948336167 y1[1] (numeric) = 0.88286950107645479792036531606013 absolute error = 4.19338785669025583269846e-09 relative error = 4.7497256066664808289368790941848e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=972.7MB, alloc=4.4MB, time=173.03 NO POLE NO POLE x[1] = 0.1175 y2[1] (analytic) = 1.9931048135349669640588860135875 y2[1] (numeric) = 1.9931038321108986265124446018119 absolute error = 9.814240683375464414117756e-07 relative error = 4.9240966238844938219040154576753e-05 % h = 0.0001 y1[1] (analytic) = 0.88277018581572989156965034730644 y1[1] (numeric) = 0.88277019010642115489223888085253 absolute error = 4.29069126332258853354609e-09 relative error = 4.8604850189381346358812237395777e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.4MB, time=173.31 memory used=980.3MB, alloc=4.4MB, time=173.59 NO POLE NO POLE x[1] = 0.1176 y2[1] (analytic) = 1.9930930855880440118134991558777 y2[1] (numeric) = 1.9930920872230812021634653371094 absolute error = 9.983649628096500338187683e-07 relative error = 5.0091236080681676721735090931712e-05 % h = 0.0001 y1[1] (analytic) = 0.88267087592069098277497717767809 y1[1] (numeric) = 0.88267088031037008504931501485928 absolute error = 4.38967910227433783718119e-09 relative error = 4.9731776838060709638382413164526e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.4MB, time=173.86 NO POLE NO POLE x[1] = 0.1177 y2[1] (analytic) = 1.9930813477101902119634478905081 y2[1] (numeric) = 1.993080332210265051687162462634 absolute error = 1.0154999251602762854278741e-06 relative error = 5.0951253260533649051247531611709e-05 % h = 0.0001 y1[1] (analytic) = 0.88257156719894331379565147996498 y1[1] (numeric) = 0.88257157168931403860935670525704 absolute error = 4.49037072481370522529206e-09 relative error = 5.0878261794281394804330435186906e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=988.0MB, alloc=4.4MB, time=174.13 memory used=991.8MB, alloc=4.4MB, time=174.41 NO POLE NO POLE x[1] = 0.1178 y2[1] (analytic) = 1.9930695999015229432871724003303 y2[1] (numeric) = 1.9930685670714570878668868612737 absolute error = 1.0328300658554202855390566e-06 relative error = 5.1821073679837982258920954197156e-05 % h = 0.0001 y1[1] (analytic) = 0.8824722596514799718483223712794 y1[1] (numeric) = 0.88247226424426556509943533251136 absolute error = 4.59278559325111296123196e-09 relative error = 5.2044532199402722800143689236714e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.4MB, time=174.68 NO POLE NO POLE x[1] = 0.1179 y2[1] (analytic) = 1.9930578421621596838712474737017 y2[1] (numeric) = 1.9930567918056642352288326764506 absolute error = 1.0503564954486424147972511e-06 relative error = 5.2700753246035648168394377265910e-05 % h = 0.0001 y1[1] (analytic) = 0.88237295327929403240679570819939 y1[1] (numeric) = 0.88237295797623731335475688259326 absolute error = 4.69694328094796117439387e-09 relative error = 5.3230816555426039152253278924656e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.4MB, time=174.95 memory used=1003.2MB, alloc=4.4MB, time=175.23 NO POLE NO POLE x[1] = 0.118 y2[1] (analytic) = 1.99304607449221801110920772362 y2[1] (numeric) = 1.9930450064118934300519680668509 absolute error = 1.0680803245810572396567691e-06 relative error = 5.3590347872573862796303845961490e-05 % h = 0.0001 y1[1] (analytic) = 0.88227364808337855919210333203896 y1[1] (numeric) = 0.88227365288624203151748716611444 absolute error = 4.80286347232538383407548e-09 relative error = 5.4437344725856451026256928126438e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1007.0MB, alloc=4.4MB, time=175.50 NO POLE NO POLE x[1] = 0.1181 y2[1] (analytic) = 1.9930342968918156017003718137897 y2[1] (numeric) = 1.9930332108891516203779658436269 absolute error = 1.0860026639813224059701628e-06 relative error = 5.4489913478908486189553412496017e-05 % h = 0.0001 y1[1] (analytic) = 0.882174344064726604162572431646 y1[1] (numeric) = 0.88217434897529256703557604439294 absolute error = 4.91056596287300361274694e-09 relative error = 5.5664347936565101368003108876965e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.4MB, time=175.77 NO POLE NO POLE memory used=1014.7MB, alloc=4.4MB, time=176.05 x[1] = 0.1182 y2[1] (analytic) = 1.993022509361070231648665691629 y2[1] (numeric) = 1.993021405236445766021133989972 absolute error = 1.1041246244656275317016570e-06 relative error = 5.5399505990506422679319525581413e-05 % h = 0.0001 y1[1] (analytic) = 0.88207504122433120750389502382733 y1[1] (numeric) = 0.88207504624440186666158066246092 absolute error = 5.02007065915768563863359e-09 relative error = 5.6912058776651980474115823653577e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1018.5MB, alloc=4.4MB, time=176.32 NO POLE NO POLE x[1] = 0.1183 y2[1] (analytic) = 1.9930107119000997762614448282322 y2[1] (numeric) = 1.9930095894527828385783460629692 absolute error = 1.1224473169376830987652630e-06 relative error = 5.6319181338848021551953143021383e-05 % h = 0.0001 y1[1] (analytic) = 0.88197573956318539761919755150003 y1[1] (numeric) = 0.88197574469458297645148768902638 absolute error = 5.13139757883229013752635e-09 relative error = 5.8180711199309275336782031058260e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.4MB, time=176.59 NO POLE NO POLE x[1] = 0.1184 y2[1] (analytic) = 1.9929989045090222101483154652967 y2[1] (numeric) = 1.9929977635371698214389714776144 absolute error = 1.1409718523887093439876823e-06 relative error = 5.7248995461429478136943579513356e-05 % h = 0.0001 y1[1] (analytic) = 0.88187643908228219111911059966849 y1[1] (numeric) = 0.88187644432684904176353456340059 absolute error = 5.24456685064442396373210e-09 relative error = 5.9470540522685257107857260825970e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.4MB, time=176.86 memory used=1029.9MB, alloc=4.4MB, time=177.14 NO POLE NO POLE x[1] = 0.1185 y2[1] (analytic) = 1.9929870871879556072199548690282 y2[1] (numeric) = 1.9929859274886137097948056729141 absolute error = 1.1596993418974251491961141e-06 relative error = 5.8189004301765235312108451812231e-05 % h = 0.0001 y1[1] (analytic) = 0.88177713978261459281183872932631 y1[1] (numeric) = 0.88177714514221330725702974940302 absolute error = 5.35959871444519102007671e-09 relative error = 6.0781783430748707027586405331463e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1033.8MB, alloc=4.4MB, time=177.41 NO POLE NO POLE x[1] = 0.1186 y2[1] (analytic) = 1.9929752599370181406869305910349 y2[1] (numeric) = 1.9929740813061215106500001599594 absolute error = 1.1786308966300369304310755e-06 relative error = 5.9139263809390385426173866552816e-05 % h = 0.0001 y1[1] (analytic) = 0.8816778416651755956932304293826 y1[1] (numeric) = 0.88167784714168911689117199625554 absolute error = 5.47651352119794156687294e-09 relative error = 6.2114677974153881163469563246679e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.4MB, time=177.68 memory used=1041.4MB, alloc=4.4MB, time=177.96 NO POLE NO POLE x[1] = 0.1187 y2[1] (analytic) = 1.9929634227563280830585187362225 y2[1] (numeric) = 1.9929622249887002428309924518761 absolute error = 1.1977676278402275262843464e-06 relative error = 6.0099829939863072638909190623999e-05 % h = 0.0001 y1[1] (analytic) = 0.88157854473095818093684818671172 y1[1] (numeric) = 0.88157855032628991392386860647773 absolute error = 5.59533173298702041976601e-09 relative error = 6.3469463571106014305047441511204e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1045.2MB, alloc=4.4MB, time=178.23 NO POLE NO POLE x[1] = 0.1188 y2[1] (analytic) = 1.9929515756460038061415212377028 y2[1] (numeric) = 1.9929503585353569369964358755522 absolute error = 1.2171106468691450853621506e-06 relative error = 6.1070758654766895678980757972658e-05 % h = 0.0001 y1[1] (analytic) = 0.88147924898095531788403867442595 y1[1] (numeric) = 0.88147925469702924091055271079511 absolute error = 5.71607392302651403636916e-09 relative error = 6.4846381008227363360613610791075e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.4MB, time=178.50 memory used=1052.8MB, alloc=4.4MB, time=178.78 NO POLE NO POLE x[1] = 0.1189 y2[1] (analytic) = 1.9929397186061637810390821387263 y2[1] (numeric) = 1.9929384819450986356471292650428 absolute error = 1.2366610651453919528736835e-06 relative error = 6.2052105921713311019688850609974e-05 % h = 0.0001 y1[1] (analytic) = 0.88137995441615996403400305847032 y1[1] (numeric) = 0.88137996025492073970299955007211 absolute error = 5.83876077566899649160179e-09 relative error = 6.6245672441423790602102379697252e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1056.6MB, alloc=4.4MB, time=179.05 NO POLE NO POLE x[1] = 0.119 y2[1] (analytic) = 1.9929278516369265781495028816522 y2[1] (numeric) = 1.992926595216932393135946536554 absolute error = 1.2564199941850135563450982e-06 relative error = 6.3043927714344036472752400945164e-05 % h = 0.0001 y1[1] (analytic) = 0.88128066103756506503386742263883 y1[1] (numeric) = 0.8812806670009781514481417642816 absolute error = 5.96341308641427434164277e-09 relative error = 6.7667581396751887104639639872831e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1060.5MB, alloc=4.4MB, time=179.34 memory used=1064.3MB, alloc=4.4MB, time=179.61 NO POLE NO POLE x[1] = 0.1191 y2[1] (analytic) = 1.992915974738410867165056603966 y2[1] (numeric) = 1.9929146983498652756777661449061 absolute error = 1.2763885455914872904590599e-06 relative error = 6.4046280012333455200305806358570e-05 % h = 0.0001 y1[1] (analytic) = 0.88118136884616355466875331211147 y1[1] (numeric) = 0.88118137493621531658688368852289 absolute error = 6.09005176191813037641142e-09 relative error = 6.9112352771286636727481777043603e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1068.1MB, alloc=4.4MB, time=179.89 NO POLE NO POLE x[1] = 0.1192 y2[1] (analytic) = 1.9929040879107354170708014413578 y2[1] (numeric) = 1.9929027913429043613594004213762 absolute error = 1.2965678310557114010199816e-06 relative error = 6.5059218801391020145272441615094e-05 % h = 0.0001 y1[1] (analytic) = 0.88108207784294835485184839561134 y1[1] (numeric) = 0.88108208406164617485291465609996 absolute error = 6.21869782000106626048862e-09 relative error = 7.0580232833989620983306230206666e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1071.9MB, alloc=4.4MB, time=180.17 memory used=1075.7MB, alloc=4.4MB, time=180.44 NO POLE NO POLE x[1] = 0.1193 y2[1] (analytic) = 1.9928921911540190961433928378731 y2[1] (numeric) = 1.9928908741950567401495247928219 absolute error = 1.3169589623559938680450512e-06 relative error = 6.6082800073263658880279348363657e-05 % h = 0.0001 y1[1] (analytic) = 0.88098278802891237561447724628095 y1[1] (numeric) = 0.88098279437828476527152130867188 absolute error = 6.34937238965704406239093e-09 relative error = 7.2071469226577765143061166981337e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1079.5MB, alloc=4.4MB, time=180.72 NO POLE NO POLE x[1] = 0.1194 y2[1] (analytic) = 1.9928802844683808719498948631466 y2[1] (numeric) = 1.9928789469053295139086068819864 absolute error = 1.3375630513580412879811602e-06 relative error = 6.7117079825738178875277625158429e-05 % h = 0.0001 y1[1] (analytic) = 0.88088349940504851509617224137733 y1[1] (numeric) = 0.88088350588714522615839891348726 absolute error = 6.48209671106222667210993e-09 relative error = 7.3586310964392625923813437822694e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1083.3MB, alloc=4.4MB, time=180.99 NO POLE NO POLE memory used=1087.2MB, alloc=4.4MB, time=181.27 x[1] = 0.1195 y2[1] (analytic) = 1.9928683678539398113465905367329 y2[1] (numeric) = 1.9928670094727297963988354888854 absolute error = 1.3583812100149477550478475e-06 relative error = 6.8162114062643673184033246217441e-05 % h = 0.0001 y1[1] (analytic) = 0.88078421197234965953474458088493 y1[1] (numeric) = 0.88078421858924179511846168771457 absolute error = 6.61689213558371710682964e-09 relative error = 7.5125008437270221107280823480515e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1091.0MB, alloc=4.4MB, time=181.54 NO POLE NO POLE x[1] = 0.1196 y2[1] (analytic) = 1.9928564413108150804777911595449 y2[1] (numeric) = 1.9928550618962647132940494531771 absolute error = 1.3794145503671837417063678e-06 relative error = 6.9217958793853926549652875632153e-05 % h = 0.0001 y1[1] (analytic) = 0.88068492573180868325635542514582 y1[1] (numeric) = 0.88068493248558880904465212988034 absolute error = 6.75378012578829670473452e-09 relative error = 7.6687813410411401436970159124612e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.4MB, time=181.81 NO POLE NO POLE x[1] = 0.1197 y2[1] (analytic) = 1.9928445048391259447746446524112 y2[1] (numeric) = 1.9928431041749414021896663974153 absolute error = 1.4006641845425849782549959e-06 relative error = 7.0284670035289821929309373286985e-05 % h = 0.0001 y1[1] (analytic) = 0.88058564068441844866558715160633 y1[1] (numeric) = 0.88058564757720070411674935842701 absolute error = 6.89278225545116220682068e-09 relative error = 7.8274979025252765142084226290907e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.4MB, time=182.10 memory used=1102.4MB, alloc=4.4MB, time=182.39 NO POLE NO POLE x[1] = 0.1198 y2[1] (analytic) = 1.9928325584389917689539429017658 y2[1] (numeric) = 1.9928311363077670126126113510872 absolute error = 1.4221312247563413315506786e-06 relative error = 7.1362303808921747438331748063613e-05 % h = 0.0001 y1[1] (analytic) = 0.8804863568311718062355147307795 y1[1] (numeric) = 0.88048636386509201580017645740245 absolute error = 7.03392020956466172662295e-09 relative error = 7.9886759800338115436600542228846e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1106.2MB, alloc=4.4MB, time=182.66 NO POLE NO POLE x[1] = 0.1199 y2[1] (analytic) = 1.9928206021105320170169281124814 y2[1] (numeric) = 1.9928191582937487060312452553356 absolute error = 1.4438167833109856828571458e-06 relative error = 7.2450916142772003713824348148993e-05 % h = 0.0001 y1[1] (analytic) = 0.8803870741730615944977772215226 y1[1] (numeric) = 0.88038708135027737884480682929305 absolute error = 7.17721578434702960777045e-09 relative error = 8.1523411632190461342165252777456e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1110.0MB, alloc=4.4MB, time=182.93 memory used=1113.9MB, alloc=4.4MB, time=183.22 NO POLE NO POLE x[1] = 0.12 y2[1] (analytic) = 1.9928086358538662522480981678576 y2[1] (numeric) = 1.9928071701318936558652933482674 absolute error = 1.4657219725963828048195902e-06 relative error = 7.3550563070917211697980007148236e-05 % h = 0.0001 y1[1] (analytic) = 0.88028779271108064003264938572903 y1[1] (numeric) = 0.88028780003377152728376955501227 absolute error = 7.32269088725112016928324e-09 relative error = 8.3185191796184562183685022125592e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.4MB, time=183.49 NO POLE NO POLE x[1] = 0.1201 y2[1] (analytic) = 1.9927966596691141372140109967773 y2[1] (numeric) = 1.9927951718212090474957734307477 absolute error = 1.4878479050897182375660296e-06 relative error = 7.4661300633490720841252134825832e-05 % h = 0.0001 y1[1] (analytic) = 0.88018851244622175745911342253384 y1[1] (numeric) = 0.88018851991658929443225376105669 absolute error = 7.47036753697314033852285e-09 relative error = 8.4872358947420016106742859421699e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1121.5MB, alloc=4.4MB, time=183.76 memory used=1125.3MB, alloc=4.4MB, time=184.04 NO POLE NO POLE x[1] = 0.1202 y2[1] (analytic) = 1.9927846735563954337620879480417 y2[1] (numeric) = 1.9927831633607020782749240125815 absolute error = 1.5101956933554871639354602e-06 relative error = 7.5783184876685017725550499604451e-05 % h = 0.0001 y1[1] (analytic) = 0.88008923337947774942493082213217 y1[1] (numeric) = 0.88008924099974561288631199384139 absolute error = 7.62026786346138117170922e-09 relative error = 8.6585173121594892966201482808362e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.4MB, time=184.31 NO POLE NO POLE x[1] = 0.1203 y2[1] (analytic) = 1.9927726775158300030194161718975 y2[1] (numeric) = 1.9927711447493799575361323389831 absolute error = 1.5327664500454832838329144e-06 relative error = 7.6916271852754135107625745198414e-05 % h = 0.0001 y1[1] (analytic) = 0.87998995551184140659671433930993 y1[1] (numeric) = 0.87998996328425551452166260122677 absolute error = 7.77241410792494826191684e-09 relative error = 8.8323895735879911935601680974200e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1132.9MB, alloc=4.4MB, time=184.58 memory used=1136.7MB, alloc=4.4MB, time=184.86 NO POLE NO POLE x[1] = 0.1204 y2[1] (analytic) = 1.9927606715475378053915500087666 y2[1] (numeric) = 1.992759115986249906603862297234 absolute error = 1.5555612878987876877115326e-06 relative error = 7.8060617620016061382807522385245e-05 % h = 0.0001 y1[1] (analytic) = 0.87989067884430550765000008678592 y1[1] (numeric) = 0.87989068677113413049249112124866 absolute error = 7.92682862284249103446274e-09 relative error = 9.0088789589793164187202628181481e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1140.6MB, alloc=4.4MB, time=185.13 NO POLE NO POLE x[1] = 0.1205 y2[1] (analytic) = 1.9927486556516389005613113851921 y2[1] (numeric) = 1.9927470770703191588035822034296 absolute error = 1.5785813197417577291817625e-06 relative error = 7.9216278242855150469261357006720e-05 % h = 0.0001 y1[1] (analytic) = 0.87979140337786281925931974846476 y1[1] (numeric) = 0.87979141146139669123025067806376 absolute error = 8.08353387197093092959900e-09 relative error = 9.1880118866075380992752601105283e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.4MB, time=185.40 memory used=1148.2MB, alloc=4.4MB, time=185.67 NO POLE NO POLE x[1] = 0.1206 y2[1] (analytic) = 1.9927366298282534474875892170105 y2[1] (numeric) = 1.9927350280005949594716924692168 absolute error = 1.6018276584880158967477937e-06 relative error = 8.0383309791724532112929128639480e-05 % h = 0.0001 y1[1] (analytic) = 0.87969212911350609608827291269983 y1[1] (numeric) = 0.87969213735605852644246138512246 absolute error = 8.24255243035418847242263e-09 relative error = 9.3698149131565747595322036904012e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.4MB, time=185.95 NO POLE NO POLE x[1] = 0.1207 y2[1] (analytic) = 1.9927245940775017044041378197642 y2[1] (numeric) = 1.9927229687760845659654531484213 absolute error = 1.6253014171384386846713429e-06 relative error = 8.1561768343148522613318450135048e-05 % h = 0.0001 y1[1] (analytic) = 0.87959285605222808077959952566559 y1[1] (numeric) = 0.87959286445613506511150875558092 absolute error = 8.40390698433190922991533e-09 relative error = 9.5543147338078263202768633079736e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.4MB, time=186.22 NO POLE NO POLE x[1] = 0.1208 y2[1] (analytic) = 1.9927125483995040288183743263647 y2[1] (numeric) = 1.992710899395795247672911363467 absolute error = 1.6490037087811454629628977e-06 relative error = 8.2751709979725035970305911320649e-05 % h = 0.0001 y1[1] (analytic) = 0.87949358419502150394525246493838 y1[1] (numeric) = 0.87949359276264183549344111996454 absolute error = 8.56762033154818865502616e-09 relative error = 9.7415381823278647453651905201862e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1159.6MB, alloc=4.4MB, time=186.48 memory used=1163.5MB, alloc=4.4MB, time=186.76 NO POLE NO POLE x[1] = 0.1209 y2[1] (analytic) = 1.9927004927943808775101751120199 y2[1] (numeric) = 1.992698819858734286022828611487 absolute error = 1.6729356465914873465005329e-06 relative error = 8.3953190790127995452119485658616e-05 % h = 0.0001 y1[1] (analytic) = 0.87939431354287908415647023338523 y1[1] (numeric) = 0.8793943222765944651167660510948 absolute error = 8.73371538096029581770957e-09 relative error = 9.9315122311561793706650011570366e-07 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.4MB, time=187.04 NO POLE NO POLE x[1] = 0.121 y2[1] (analytic) = 1.9926884272622528065306712264356 y2[1] (numeric) = 1.9926867301639089744946079500279 absolute error = 1.6970983438320360632764077e-06 relative error = 8.5166266869109745584665162110716e-05 % h = 0.0001 y1[1] (analytic) = 0.87929504409679352793384977345972 y1[1] (numeric) = 0.87929505299900868078124579629148 absolute error = 8.90221515284739602283176e-09 relative error = 1.0124263991492976950477973045793e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.4MB, time=187.31 memory used=1174.9MB, alloc=4.4MB, time=187.59 NO POLE NO POLE x[1] = 0.1211 y2[1] (analytic) = 1.9926763518032404712010428333059 y2[1] (numeric) = 1.9926746303103266186282210622475 absolute error = 1.7214929138525728217710584e-06 relative error = 8.6390994317503464562363215054330e-05 % h = 0.0001 y1[1] (analytic) = 0.87919577585775752973741940200428 y1[1] (numeric) = 0.87919578493090030855669171686237 absolute error = 9.07314277881927231485809e-09 relative error = 1.0319820713387036456595998051856e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1178.7MB, alloc=4.4MB, time=187.86 NO POLE NO POLE x[1] = 0.1212 y2[1] (analytic) = 1.9926642664174646261113126571021 y2[1] (numeric) = 1.9926625202969945360341352015067 absolute error = 1.7461204700900771774555954e-06 relative error = 8.7627429242225577080659273523807e-05 % h = 0.0001 y1[1] (analytic) = 0.87909650882676377195671186565819 y1[1] (numeric) = 0.87909651807328527378175773489247 absolute error = 9.24652150182504586923428e-09 relative error = 1.0518209785823618665170202887370e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1182.5MB, alloc=4.4MB, time=188.14 memory used=1186.3MB, alloc=4.4MB, time=188.42 NO POLE NO POLE x[1] = 0.1213 y2[1] (analytic) = 1.9926521711050461251191384371732 y2[1] (numeric) = 1.9926504001229200564032400152566 absolute error = 1.7709821260687158984219166e-06 relative error = 8.8875627756278167590375556155636e-05 % h = 0.0001 y1[1] (analytic) = 0.87899724300480492490083751697053 y1[1] (numeric) = 0.87899725242717960106273278734477 absolute error = 9.42237467616189527037424e-09 relative error = 1.0719458736812430566595337634221e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.4MB, time=188.69 NO POLE NO POLE x[1] = 0.1214 y2[1] (analytic) = 1.992640065866105921348604389171 y2[1] (numeric) = 1.9926382697871105215167742481214 absolute error = 1.7960789953998318301410496e-06 relative error = 9.0135645978751393974067692793831e-05 % h = 0.0001 y1[1] (analytic) = 0.87889797839287364678855761131732 y1[1] (numeric) = 0.87889798799359941427233228748468 absolute error = 9.60072576748377467616736e-09 relative error = 1.0923595233475644633636508464326e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.4MB, time=188.96 memory used=1197.8MB, alloc=4.4MB, time=189.24 NO POLE NO POLE x[1] = 0.1215 y2[1] (analytic) = 1.9926279507007650671890116738096 y2[1] (numeric) = 1.9926261292885732852562523240776 absolute error = 1.8214121917819327593497320e-06 relative error = 9.1407540034825901644552437679056e-05 % h = 0.0001 y1[1] (analytic) = 0.87879871499196258373835772472221 y1[1] (numeric) = 0.87879872477356093654848859364019 absolute error = 9.78159835281013086891798e-09 relative error = 1.1130647082135972983049412869605e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1201.6MB, alloc=4.4MB, time=189.51 NO POLE NO POLE x[1] = 0.1216 y2[1] (analytic) = 1.9926158256091447142936678729739 y2[1] (numeric) = 1.9926139786263157136133908076308 absolute error = 1.8469828290006802770653431e-06 relative error = 9.2691366055775238065771819436142e-05 % h = 0.0001 y1[1] (analytic) = 0.87869945280306436975852129267988 y1[1] (numeric) = 0.87869946276808049029314048530987 absolute error = 9.96501612053461919262999e-09 relative error = 1.1340642228404796465969822462770e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.4MB, time=189.78 memory used=1209.2MB, alloc=4.4MB, time=190.07 NO POLE NO POLE x[1] = 0.1217 y2[1] (analytic) = 1.992603690591366113578675473187 y2[1] (numeric) = 1.9926018177993451847000347438899 absolute error = 1.8727920209288786407292971e-06 relative error = 9.3987180178968267696159152058281e-05 % h = 0.0001 y1[1] (analytic) = 0.87860019182717162673720327008148 y1[1] (numeric) = 0.87860020197817449717102164663081 absolute error = 1.015100287043381837654933e-08 relative error = 1.1553608757270348722372196899086e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1213.0MB, alloc=4.4MB, time=190.34 NO POLE NO POLE x[1] = 0.1218 y2[1] (analytic) = 1.992591545647550615221719356451 y2[1] (numeric) = 1.9925896468066690887580838774408 absolute error = 1.8988408815264636354790102e-06 relative error = 9.5295038547871587354672486100330e-05 % h = 0.0001 y1[1] (analytic) = 0.87850093206527696443250391234137 y1[1] (numeric) = 0.87850094240485947810844815721859 absolute error = 1.033958251367594424487722e-08 relative error = 1.1769574893185955234921742082940e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.4MB, time=190.61 NO POLE NO POLE memory used=1220.7MB, alloc=4.4MB, time=190.88 x[1] = 0.1219 y2[1] (analytic) = 1.99257939077781966866085329847 y2[1] (numeric) = 1.9925774656472948281694187499189 absolute error = 1.9251305248404914345485511e-06 relative error = 9.6614997312051942009660973363752e-05 % h = 0.0001 y1[1] (analytic) = 0.87840167351837298046254267782436 y1[1] (numeric) = 0.87840168404915205329210499039147 absolute error = 1.053077907282956231256711e-08 relative error = 1.1988569000158327417568787504033e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.4MB, time=191.17 NO POLE NO POLE x[1] = 0.122 y2[1] (analytic) = 1.992567225982294822593285474272 y2[1] (numeric) = 1.992565274320229817465826676182 absolute error = 1.9516620650051274587980900e-06 relative error = 9.7947112627178640990729939019859e-05 % h = 0.0001 y1[1] (analytic) = 0.87830241618745226029553225167281 y1[1] (numeric) = 0.87830242691206894216783151879084 absolute error = 1.072461668187229926711803e-08 relative error = 1.2210619581835911774258402460565e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1228.3MB, alloc=4.4MB, time=191.44 NO POLE NO POLE x[1] = 0.1221 y2[1] (analytic) = 1.9925550512610977249741629712363 y2[1] (numeric) = 1.9925530728244814833389275989843 absolute error = 1.9784366162416352353722520e-06 relative error = 9.9291440655025974623770033050906e-05 % h = 0.0001 y1[1] (analytic) = 0.87820316007350737723985269113275 y1[1] (numeric) = 0.87820317099462696343940602741015 absolute error = 1.092111958619955333627740e-08 relative error = 1.2435755281597294163153019359677e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.4MB, time=191.71 memory used=1235.9MB, alloc=4.4MB, time=191.99 NO POLE NO POLE x[1] = 0.1222 y2[1] (analytic) = 1.9925428666143501230153553095444 y2[1] (numeric) = 1.9925408611590572646500998220517 absolute error = 2.0054552928583652554874927e-06 relative error = 0.00010064803756347563128931646976075 % h = 0.0001 y1[1] (analytic) = 0.87810390517753089243412569247838 y1[1] (numeric) = 0.87810391629784303506732923404447 absolute error = 1.112031214263320354156609e-08 relative error = 1.2664004882639659201789959125742e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1239.7MB, alloc=4.4MB, time=192.26 NO POLE NO POLE x[1] = 0.1223 y2[1] (analytic) = 1.9925306720421738631842369700615 y2[1] (numeric) = 1.9925286393229646124404056214601 absolute error = 2.0327192092507438313486014e-06 relative error = 0.00010201695952651911490440378147569 % h = 0.0001 y1[1] (analytic) = 0.87800465150051535483728897963412 y1[1] (numeric) = 0.8780046628227341742676068171728 absolute error = 1.132221881943031783753868e-08 relative error = 1.2895397308067304848620388235072e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.4MB, time=192.53 memory used=1247.4MB, alloc=4.4MB, time=192.81 NO POLE NO POLE x[1] = 0.1224 y2[1] (analytic) = 1.992518467544690891202468929664 y2[1] (numeric) = 1.9925164073152109899405167352161 absolute error = 2.0602294799012619521944479e-06 relative error = 0.00010339826272426016282808208422515 % h = 0.0001 y1[1] (analytic) = 0.87790539904345330121867081459346 y1[1] (numeric) = 0.87790541057031749751053095128535 absolute error = 1.152686419629186013669189e-08 relative error = 1.3129961620980212196400730326463e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1251.2MB, alloc=4.4MB, time=193.10 NO POLE NO POLE x[1] = 0.1225 y2[1] (analytic) = 1.9925062531220232520447792040239 y2[1] (numeric) = 1.9925041651348038725806397309423 absolute error = 2.0879872193794641394730816e-06 relative error = 0.00010479200334291716419076052654228 % h = 0.0001 y1[1] (analytic) = 0.87780614780733725614806462973403 y1[1] (numeric) = 0.87780615954161022051946084966792 absolute error = 1.173427296437139621993389e-08 relative error = 1.3367727024562670512931748056875e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1255.0MB, alloc=4.4MB, time=193.36 memory used=1258.8MB, alloc=4.4MB, time=193.64 NO POLE NO POLE x[1] = 0.1226 y2[1] (analytic) = 1.9924940287742930899377423978626 y2[1] (numeric) = 1.9924919127807507480004412515668 absolute error = 2.1159935423419373011462958e-06 relative error = 0.0001061982375748255786475438430376 % h = 0.0001 y1[1] (analytic) = 0.87770689779315973198580378212786 y1[1] (numeric) = 0.87770690973762965826960231465566 absolute error = 1.194446992628379853252780e-08 relative error = 1.3608722862171957564665701373436e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1262.6MB, alloc=4.4MB, time=193.92 NO POLE NO POLE x[1] = 0.1227 y2[1] (analytic) = 1.992481794501622648358558262686 y2[1] (numeric) = 1.9924796502520591160589731389185 absolute error = 2.1442495635322995851237675e-06 relative error = 0.00010761702161844035555572784365884 % h = 0.0001 y1[1] (analytic) = 0.87760764900191322887283642994635 y1[1] (numeric) = 0.87760766115939322498678629536834 absolute error = 1.215747999611394986542199e-08 relative error = 1.3852978617427075258725716542950e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1266.5MB, alloc=4.4MB, time=194.19 memory used=1270.3MB, alloc=4.4MB, time=194.47 NO POLE NO POLE x[1] = 0.1228 y2[1] (analytic) = 1.9924695503041342700338292620138 y2[1] (numeric) = 1.992467377547736488844597435128 absolute error = 2.1727563977811892318268858e-06 relative error = 0.00010904841167833835357661984983967 % h = 0.0001 y1[1] (analytic) = 0.87750840143459023472080053105907 y1[1] (numeric) = 0.87750841380791843414624645293937 absolute error = 1.237332819942544592188030e-08 relative error = 1.4100523914297540638906624829540e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1274.1MB, alloc=4.4MB, time=194.74 NO POLE NO POLE x[1] = 0.1229 y2[1] (analytic) = 1.9924572961819503969383371441142 y2[1] (numeric) = 1.9924550946667903906849112617358 absolute error = 2.2015151600062534258823784e-06 relative error = 0.00011049246396522076070184994784431 % h = 0.0001 y1[1] (analytic) = 0.87740915509218322520209896392561 y1[1] (numeric) = 0.87740916768422289847139573325079 absolute error = 1.259203967326929676932518e-08 relative error = 1.4351388517192232271250955130584e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1277.9MB, alloc=4.4MB, time=195.02 memory used=1281.7MB, alloc=4.4MB, time=195.30 NO POLE NO POLE x[1] = 0.123 y2[1] (analytic) = 1.9924450321351935702938185222573 y2[1] (numeric) = 1.9924428016082283581566715764083 absolute error = 2.2305269652121371469458490e-06 relative error = 0.00011194923469591551470433913503444 % h = 0.0001 y1[1] (analytic) = 0.8773099099756846637399747708799 y1[1] (numeric) = 0.87730992278932432993260194718647 absolute error = 1.281363966619262717630657e-08 relative error = 1.4605602331048292054818140087015e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1285.5MB, alloc=4.4MB, time=195.57 NO POLE NO POLE x[1] = 0.1231 y2[1] (analytic) = 1.9924327581639864305677394624988 y2[1] (numeric) = 1.9924304983710579400957198071616 absolute error = 2.2597929284904720196553372e-06 relative error = 0.00011341878009337972401409041437626 % h = 0.0001 y1[1] (analytic) = 0.87721066608608700149858652390594 y1[1] (numeric) = 0.87721067912424053974596235841578 absolute error = 1.303815353824737583450984e-08 relative error = 1.4863195401420082493290163696723e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1289.3MB, alloc=4.4MB, time=195.84 NO POLE NO POLE memory used=1293.2MB, alloc=4.4MB, time=196.11 x[1] = 0.1232 y2[1] (analytic) = 1.992420474268451717472069079006 y2[1] (numeric) = 1.992418184954286697606906363995 absolute error = 2.2893141650198651627150110e-06 relative error = 0.0001149011563867020890189688570542 % h = 0.0001 y1[1] (analytic) = 0.8771114234243826773730838130046 y1[1] (numeric) = 0.87711143668998943837207727871994 absolute error = 1.326560676099899346571534e-08 relative error = 1.5124197914568199463080617964070e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1297.0MB, alloc=4.4MB, time=196.39 NO POLE NO POLE x[1] = 0.1233 y2[1] (analytic) = 1.9924081804487122699620521369395 y2[1] (numeric) = 1.9924058613569222040740150278344 absolute error = 2.3190917900658880371091051e-06 relative error = 0.00011639641981110532379063684849585 % h = 0.0001 y1[1] (analytic) = 0.8770121819915641179796828572503 y1[1] (numeric) = 0.87701219548758903551482267087334 absolute error = 1.349602491753513981362304e-08 relative error = 1.5388640197548540513639831489436e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.4MB, time=196.66 NO POLE NO POLE x[1] = 0.1234 y2[1] (analytic) = 1.9923958767048910262349806629018 y2[1] (numeric) = 1.9923935275779720451696872166857 absolute error = 2.3491269189810652934462161e-06 relative error = 0.00011790462660794857823581066758472 % h = 0.0001 y1[1] (analytic) = 0.87691294178862373764574223863716 y1[1] (numeric) = 0.87691295551805744012012175909215 absolute error = 1.372943370247437952045499e-08 relative error = 1.5656552718301428735672531917143e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.4MB, time=196.94 memory used=1308.4MB, alloc=4.4MB, time=197.22 NO POLE NO POLE x[1] = 0.1235 y2[1] (analytic) = 1.992383563037111023728964562965 y2[1] (numeric) = 1.9923811836164438188653461289007 absolute error = 2.3794206672048636184340643e-06 relative error = 0.00011942583302472986067300451845485 % h = 0.0001 y1[1] (analytic) = 0.87681370281655393839983875881371 y1[1] (numeric) = 0.87681371678241286037471564706239 absolute error = 1.396585892197487688824868e-08 relative error = 1.5927966085740792233009575236709e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1312.2MB, alloc=4.4MB, time=197.49 NO POLE NO POLE x[1] = 0.1236 y2[1] (analytic) = 1.9923712394454953991217012482912 y2[1] (numeric) = 1.9923688294713451354411207634541 absolute error = 2.4099741502636805804848371e-06 relative error = 0.00012096009531508846083492844017449 % h = 0.0001 y1[1] (analytic) = 0.87671446507634710996184341880535 y1[1] (numeric) = 0.87671447928167360370493294355987 absolute error = 1.420532649374308952475452e-08 relative error = 1.6202911049843399233900125289912e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1316.0MB, alloc=4.4MB, time=197.76 memory used=1319.9MB, alloc=4.4MB, time=198.05 NO POLE NO POLE x[1] = 0.1237 y2[1] (analytic) = 1.9923589059301673883292442683563 y2[1] (numeric) = 1.9923564651416836174957698171344 absolute error = 2.4407884837708334744512219e-06 relative error = 0.00012250746973880737329670620319441 % h = 0.0001 y1[1] (analytic) = 0.8766152285689956297329975218239 y1[1] (numeric) = 0.87661524301685807677545839567425 absolute error = 1.444786244704246087385035e-08 relative error = 1.6481418501738148877515022438358e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1323.7MB, alloc=4.4MB, time=198.32 NO POLE NO POLE x[1] = 0.1238 y2[1] (analytic) = 1.9923465624912503265047709517904 y2[1] (numeric) = 1.9923440906264668999566054585475 absolute error = 2.4718647834265481654932429e-06 relative error = 0.00012406801256181572133007966761412 % h = 0.0001 y1[1] (analytic) = 0.8765159932954918627859888992635 y1[1] (numeric) = 0.87651600798898478548810052964952 absolute error = 1.469349292270211163038602e-08 relative error = 1.6763519473795417711476956010747e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.4MB, time=198.59 memory used=1331.3MB, alloc=4.4MB, time=198.88 NO POLE NO POLE x[1] = 0.1239 y2[1] (analytic) = 1.9923342091288676480373490548474 y2[1] (numeric) = 1.9923317059247026300894169788359 absolute error = 2.5032041650179479320760115e-06 relative error = 0.00012564178005619118118376588237765 % h = 0.0001 y1[1] (analytic) = 0.876416759256828161855028259982 y1[1] (numeric) = 0.87641677419907233498055829935326 absolute error = 1.494224417312553003937126e-08 relative error = 1.7049245139716461936258006464783e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1335.1MB, alloc=4.4MB, time=199.16 NO POLE NO POLE x[1] = 0.124 y2[1] (analytic) = 1.992321845843142886550702417515 y2[1] (numeric) = 1.992319311035398467508394319012 absolute error = 2.5348077444190423080985030e-06 relative error = 0.00012722882850016240679013339505777 % h = 0.0001 y1[1] (analytic) = 0.87631752645399686732592566296706 y1[1] (numeric) = 0.87631754164813942962518674238698 absolute error = 1.519414256229926107941992e-08 relative error = 1.7338626814622875432309728023978e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1338.9MB, alloc=4.4MB, time=199.43 memory used=1342.7MB, alloc=4.4MB, time=199.71 NO POLE NO POLE x[1] = 0.1241 y2[1] (analytic) = 1.9923094726341996749019756272786 y2[1] (numeric) = 1.9923069059575620841860514738083 absolute error = 2.5666766375907159241534703e-06 relative error = 0.00012882921417811145489836418149483 % h = 0.0001 y1[1] (analytic) = 0.87621829488799030722616711348641 y1[1] (numeric) = 0.87621831033720487302776164384993 absolute error = 1.544921456580159453036352e-08 relative error = 1.7631695955146103605815565691867e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.4MB, time=199.99 NO POLE NO POLE x[1] = 0.1242 y2[1] (analytic) = 1.9922970895021617451804976905511 y2[1] (numeric) = 1.9922944906902011644631497719439 absolute error = 2.5988119605807173479186072e-06 relative error = 0.00013044299338057621063426773992975 % h = 0.0001 y1[1] (analytic) = 0.87611906455980079721499128282118 y1[1] (numeric) = 0.87611908026728756802624320776866 absolute error = 1.570748677081125192494748e-08 relative error = 1.7928484159517013088980692616495e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1350.4MB, alloc=4.4MB, time=200.26 NO POLE NO POLE memory used=1354.2MB, alloc=4.4MB, time=200.54 x[1] = 0.1243 y2[1] (analytic) = 1.9922846964471529287065447117802 y2[1] (numeric) = 1.9922820652323234050586210327085 absolute error = 2.6312148295236479236790717e-06 relative error = 0.00013207022240425281348691382387336 % h = 0.0001 y1[1] (analytic) = 0.87601983547042064057346635168182 y1[1] (numeric) = 0.8760198514394065166895387362048 absolute error = 1.596898587611607238452298e-08 relative error = 1.8229023167655517330798694560421e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.4MB, time=200.83 NO POLE NO POLE x[1] = 0.1244 y2[1] (analytic) = 1.9922722934692971560301015802472 y2[1] (numeric) = 1.992269629582936515079490598765 absolute error = 2.6638863606409506109814822e-06 relative error = 0.00013371095755199808372225045347906 % h = 0.0001 y1[1] (analytic) = 0.87592060762084212819456697740569 y1[1] (numeric) = 0.87592062385458082031626431605328 absolute error = 1.623373869212169733864759e-08 relative error = 1.8533344861260258114259583459761e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1361.8MB, alloc=4.4MB, time=201.12 NO POLE NO POLE x[1] = 0.1245 y2[1] (analytic) = 1.9922598805687184569296226645676 y2[1] (numeric) = 1.9922571837410482160308002450707 absolute error = 2.6968276702408988224194969e-06 relative error = 0.00013536525513283194922387375474502 % h = 0.0001 y1[1] (analytic) = 0.87582138101205753857325138503557 y1[1] (numeric) = 0.87582139751382967943350551354356 absolute error = 1.650177214086025412850799e-08 relative error = 1.8841481263898343035988684626615e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1365.6MB, alloc=4.4MB, time=201.39 memory used=1369.4MB, alloc=4.4MB, time=201.70 NO POLE NO POLE x[1] = 0.1246 y2[1] (analytic) = 1.9922474577455409604107915149082 y2[1] (numeric) = 1.992244727705666241825530963819 absolute error = 2.7300398747185852605510892e-06 relative error = 0.00013703317146193987276111634143342 % h = 0.0001 y1[1] (analytic) = 0.87572215564505913779653858237836 y1[1] (numeric) = 0.8757221724181723937955770764561 absolute error = 1.677311325599903849407774e-08 relative error = 1.9153464541095138984330406849961e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.4MB, time=202.00 NO POLE NO POLE x[1] = 0.1247 y2[1] (analytic) = 1.9922350249998888947052795729308 y2[1] (numeric) = 1.992232261475798338794525625301 absolute error = 2.7635240905559107539476298e-06 relative error = 0.00013871476286067527968462088928391 % h = 0.0001 y1[1] (analytic) = 0.87562293152083917953358569914314 y1[1] (numeric) = 0.87562294856862836238278164406654 absolute error = 1.704778918284919594492340e-08 relative error = 1.9469327000424121651916186931898e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1377.1MB, alloc=4.4MB, time=202.30 memory used=1380.9MB, alloc=4.4MB, time=202.61 NO POLE NO POLE x[1] = 0.1248 y2[1] (analytic) = 1.9922225823318865872695038894767 y2[1] (numeric) = 1.9922197850504522656964115145889 absolute error = 2.7972814343215730923748878e-06 relative error = 0.00014041008565656198604956567252176 % h = 0.0001 y1[1] (analytic) = 0.87552370864038990502576545025788 y1[1] (numeric) = 0.87552372596621708340016746483005 absolute error = 1.732582717837440201457217e-08 relative error = 1.9789101091596781118780664636456e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1384.7MB, alloc=4.4MB, time=202.91 NO POLE NO POLE x[1] = 0.1249 y2[1] (analytic) = 1.9922101297416584647833838500039 y2[1] (numeric) = 1.9922072984286357937275227439415 absolute error = 2.8313130226710558611060624e-06 relative error = 0.00014211919618329662716670883765677 % h = 0.0001 y1[1] (analytic) = 0.87542448700470354307674372346399 y1[1] (numeric) = 0.8754245046119581542762851218182 absolute error = 1.760725461119954139835421e-08 relative error = 2.0112819406552583542115063992871e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1388.5MB, alloc=4.4MB, time=203.19 memory used=1392.3MB, alloc=4.4MB, time=203.47 NO POLE NO POLE x[1] = 0.125 y2[1] (analytic) = 1.9921976672293290531490969077882 y2[1] (numeric) = 1.9921948016093567065318225408325 absolute error = 2.8656199723466172743669557e-06 relative error = 0.00014384215078075108658141817450213 % h = 0.0001 y1[1] (analytic) = 0.87532526661477231004255729128789 y1[1] (numeric) = 0.87532528450687127166194326592076 absolute error = 1.789209896161938597463287e-08 relative error = 2.0440514679548988988771786857020e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1396.2MB, alloc=4.4MB, time=203.77 NO POLE NO POLE x[1] = 0.1251 y2[1] (analytic) = 1.9921851947950229774898333249033 y2[1] (numeric) = 1.9921822945916228002108254115028 absolute error = 2.9002034001772790079134005e-06 relative error = 0.00014557900579497492548085335517215 % h = 0.0001 y1[1] (analytic) = 0.87522604747158840982169164748898 y1[1] (numeric) = 0.87522606565197623142896335682502 absolute error = 1.818038782160727170933604e-08 relative error = 2.0772219787251525446659170476901e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.4MB, time=204.06 memory used=1403.8MB, alloc=4.4MB, time=204.37 NO POLE NO POLE x[1] = 0.1252 y2[1] (analytic) = 1.9921727124388649621485499209891 y2[1] (numeric) = 1.9921697773744418833335191799368 absolute error = 2.9350644230788150307410523e-06 relative error = 0.00014732981757819781252946741608375 % h = 0.0001 y1[1] (analytic) = 0.87512682957614403384515896808298 y1[1] (numeric) = 0.87512684804829292866893341178488 absolute error = 1.847214889482377444370190e-08 relative error = 2.1107967748823919051190428113428e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1407.6MB, alloc=4.4MB, time=204.66 NO POLE NO POLE x[1] = 0.1253 y2[1] (analytic) = 1.9921602201609798306867228298239 y2[1] (numeric) = 1.9921572499568217769462869021645 absolute error = 2.9702041580537404359276594e-06 relative error = 0.00014909464248883195413299453410609 % h = 0.0001 y1[1] (analytic) = 0.87502761292943136106657619704013 y1[1] (numeric) = 0.87502763169684135769196076219234 absolute error = 1.876740999662538456515221e-08 relative error = 2.1447791726018280562975637821869e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1411.4MB, alloc=4.4MB, time=204.96 memory used=1415.2MB, alloc=4.4MB, time=205.26 NO POLE NO POLE x[1] = 0.1254 y2[1] (analytic) = 1.9921477179614925058830992637103 y2[1] (numeric) = 1.9921447123377703145828286557893 absolute error = 3.0056237221913002706079210e-06 relative error = 0.00015087353689147452513109098743896 % h = 0.0001 y1[1] (analytic) = 0.87492839753244255795224325675726 y1[1] (numeric) = 0.87492841659864161202542381796379 absolute error = 1.906619905407318056120653e-08 relative error = 2.1791725023265348132970954815258e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1419.0MB, alloc=4.4MB, time=205.56 NO POLE NO POLE x[1] = 0.1255 y2[1] (analytic) = 1.9921352058405280097324482856888 y2[1] (numeric) = 1.9921321645162953422740832046427 absolute error = 3.0413242326674583650810461e-06 relative error = 0.00015266655715691009991879637760414 % h = 0.0001 y1[1] (analytic) = 0.87482918338616977847122138340306 y1[1] (numeric) = 0.87482920275471388441272283975355 absolute error = 1.936854410594150145635049e-08 relative error = 2.2139801087764786391323957726499e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.4MB, time=205.85 NO POLE NO POLE memory used=1426.7MB, alloc=4.4MB, time=206.16 x[1] = 0.1256 y2[1] (analytic) = 1.9921226837982114634443105895914 y2[1] (numeric) = 1.9921196064914047185581495384666 absolute error = 3.0773068067448861610511248e-06 relative error = 0.00015447375966211308399698216895383 % h = 0.0001 y1[1] (analytic) = 0.87472997049160516408541158723576 y1[1] (numeric) = 0.87472999016607846681202971900724 absolute error = 1.967447330272661813177148e-08 relative error = 2.2492053509575541896179386840141e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1430.5MB, alloc=4.4MB, time=206.47 NO POLE NO POLE x[1] = 0.1257 y2[1] (analytic) = 1.9921101518346680874417472879467 y2[1] (numeric) = 1.9921070382621063144902082875242 absolute error = 3.1135725617729515390004225e-06 relative error = 0.00015629520079025014595195458715306 % h = 0.0001 y1[1] (analytic) = 0.87463075884974084373963323799236 y1[1] (numeric) = 0.87463077883375575039503676586743 absolute error = 1.998401490665540352787507e-08 relative error = 2.2848516021706254978734544695194e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.4MB, time=206.78 NO POLE NO POLE x[1] = 0.1258 y2[1] (analytic) = 1.9920976099500232013600877077509 y2[1] (numeric) = 1.9920944598274080136524430120399 absolute error = 3.1501226151877076446957110e-06 relative error = 0.00015813093693068264986437913407325 % h = 0.0001 y1[1] (analytic) = 0.87453154846156893385170277544872 y1[1] (numeric) = 0.87453156875876622554570450494404 absolute error = 2.029719729169400172949532e-08 relative error = 2.3209222500205728020858557543418e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.4MB, time=207.09 memory used=1441.9MB, alloc=4.4MB, time=207.41 NO POLE NO POLE x[1] = 0.1259 y2[1] (analytic) = 1.9920850581444022240456761941152 y2[1] (numeric) = 1.992081871186317712163961366369 absolute error = 3.1869580845118817148277462e-06 relative error = 0.00015998102447896908814769380099199 % h = 0.0001 y1[1] (analytic) = 0.87443233932808153830251254524965 y1[1] (numeric) = 0.87443235994213048185900847896211 absolute error = 2.061404894355649593371246e-08 relative error = 2.3574206964253450201615180297042e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1445.7MB, alloc=4.4MB, time=207.72 NO POLE NO POLE x[1] = 0.126 y2[1] (analytic) = 1.9920724964179306735546179218037 y2[1] (numeric) = 1.9920692723378433186907161377987 absolute error = 3.2240800873548639017840050e-06 relative error = 0.00016184551983686751481617824789037 % h = 0.0001 y1[1] (analytic) = 0.87433313145027074842610976010826 y1[1] (numeric) = 0.8743331523848692081396850602994 absolute error = 2.093459845971357530019114e-08 relative error = 2.3943503576250178749053644650808e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.4MB, time=208.03 memory used=1453.4MB, alloc=4.4MB, time=208.35 NO POLE NO POLE x[1] = 0.1261 y2[1] (analytic) = 1.992059924770734167151523714673 y2[1] (numeric) = 1.9920566632809927544554261598799 absolute error = 3.2614897414126960975547931e-06 relative error = 0.00016372447941233797918284621180331 % h = 0.0001 y1[1] (analytic) = 0.87423392482912864299977558647378 y1[1] (numeric) = 0.87423394608800319240097627042638 absolute error = 2.125887454940120068395260e-08 relative error = 2.4317146641908576733657377426807e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1457.2MB, alloc=4.4MB, time=208.66 NO POLE NO POLE x[1] = 0.1262 y2[1] (analytic) = 1.9920473432029384213082538730275 y2[1] (numeric) = 1.992044044014773953247497100192 absolute error = 3.2991881644680607567728355e-06 relative error = 0.00016561795961954495998732845255778 % h = 0.0001 y1[1] (analytic) = 0.87413471946564728823410435676696 y1[1] (numeric) = 0.87413474105255332186337360726118 absolute error = 2.158690603362926925049422e-08 relative error = 2.4695170610343907439865716765242e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1461.0MB, alloc=4.4MB, time=208.97 memory used=1464.8MB, alloc=4.4MB, time=209.29 NO POLE NO POLE x[1] = 0.1263 y2[1] (analytic) = 1.9920347517146692517026610089015 y2[1] (numeric) = 1.9920314145381948614329421224406 absolute error = 3.3371764743902697188864609e-06 relative error = 0.00016752601687885979995391355449079 % h = 0.0001 y1[1] (analytic) = 0.87403551536081873776308290728245 y1[1] (numeric) = 0.87403553727954058295336088045202 absolute error = 2.191872184519027797316957e-08 relative error = 2.5077610074164785352108558444890e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1468.6MB, alloc=4.4MB, time=209.60 NO POLE NO POLE x[1] = 0.1264 y2[1] (analytic) = 1.9920221503060525732173318892822 y2[1] (numeric) = 1.992018774850263437964302422789 absolute error = 3.3754557891352530294664932e-06 relative error = 0.00016944870761686314077991404353242 % h = 0.0001 y1[1] (analytic) = 0.87393631251563503263417004185716 y1[1] (numeric) = 0.87393633476998606130215605459974 absolute error = 2.225435102866798601274258e-08 relative error = 2.5464499769563983791819648874736e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1472.4MB, alloc=4.4MB, time=209.91 memory used=1476.3MB, alloc=4.4MB, time=210.22 NO POLE NO POLE x[1] = 0.1265 y2[1] (analytic) = 1.9920095389772143999383282872844 y2[1] (numeric) = 1.9920061249499876543905676403245 absolute error = 3.4140272267455477606469599e-06 relative error = 0.00017138608826634735855452514877344 % h = 0.0001 y1[1] (analytic) = 0.87383711093108820129837612140398 y1[1] (numeric) = 0.87383713352491094174445210043297 absolute error = 2.259382274044607597902899e-08 relative error = 2.5855874576409299241918946378409e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1480.1MB, alloc=4.4MB, time=210.51 NO POLE NO POLE x[1] = 0.1266 y2[1] (analytic) = 1.9919969177282808451539268412912 y2[1] (numeric) = 1.9919934648363754948670961415603 absolute error = 3.4528919053502868306997309e-06 relative error = 0.00017333821526631899960834376380447 % h = 0.0001 y1[1] (analytic) = 0.8737379106081702596003427794099 y1[1] (numeric) = 0.87373793354533650831715685394859 absolute error = 2.293716624871681407453869e-08 relative error = 2.6251769518334472395280237294121e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.4MB, time=210.80 memory used=1487.7MB, alloc=4.4MB, time=211.10 NO POLE NO POLE x[1] = 0.1267 y2[1] (analytic) = 1.9919842865593781213533579220722 y2[1] (numeric) = 1.9919807945084349561655351788736 absolute error = 3.4920509431651878227431986e-06 relative error = 0.00017530514506200121679371507304277 % h = 0.0001 y1[1] (analytic) = 0.87363871154787321076842276349786 y1[1] (numeric) = 0.87363873483228414425813188352998 absolute error = 2.328441093348970912003212e-08 relative error = 2.6652219762830165963724958983777e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1491.5MB, alloc=4.4MB, time=211.40 NO POLE NO POLE x[1] = 0.1268 y2[1] (analytic) = 1.9919716454706325402255435078923 y2[1] (numeric) = 1.991968113965174047683740922781 absolute error = 3.5315054584925418025851113e-06 relative error = 0.0001772869341048362061960744039469 % h = 0.0001 y1[1] (analytic) = 0.87353951375118904540475990315155 y1[1] (numeric) = 0.87353953738677533200493036505579 absolute error = 2.363558628660017046190424e-08 relative error = 2.7057260621334999284108858707181e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1495.3MB, alloc=4.4MB, time=211.70 NO POLE NO POLE memory used=1499.2MB, alloc=4.4MB, time=211.99 x[1] = 0.1269 y2[1] (analytic) = 1.9919589944621705126578340676234 y2[1] (numeric) = 1.9919554232056007914556983679515 absolute error = 3.5712565697212021356996719e-06 relative error = 0.00017928363885248764427645190650266 % h = 0.0001 y1[1] (analytic) = 0.87344031721910974147536920370215 y1[1] (numeric) = 0.87344034120983165319353396501178 absolute error = 2.399072191171816476130963e-08 relative error = 2.7466927549326639758093481458717e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.4MB, time=212.28 NO POLE NO POLE x[1] = 0.127 y2[1] (analytic) = 1.9919463335341185487347444518721 y2[1] (numeric) = 1.9919427222287232221614411128584 absolute error = 3.6113053953265733033390137e-06 relative error = 0.00018129531576884312544530769182415 % h = 0.0001 y1[1] (analytic) = 0.87334112195262726430021706667654 y1[1] (numeric) = 0.87334114630247478865708873161834 absolute error = 2.434984752435687166494180e-08 relative error = 2.7881256146412951162219256116575e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1506.8MB, alloc=4.4MB, time=212.57 NO POLE NO POLE x[1] = 0.1271 y2[1] (analytic) = 1.9919336626866032577366887921356 y2[1] (numeric) = 1.9919300110335493871369710129708 absolute error = 3.6516530538705997177791648e-06 relative error = 0.00018332202132401660006786508717091 % h = 0.0001 y1[1] (analytic) = 0.87324192795273356654330163660581 y1[1] (numeric) = 0.87324195266572651842463999398643 absolute error = 2.471299295188133835738062e-08 relative error = 2.8300282156423198864923244035102e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.4MB, time=212.87 memory used=1514.4MB, alloc=4.4MB, time=213.17 NO POLE NO POLE x[1] = 0.1272 y2[1] (analytic) = 1.9919209819197513481387144079986 y2[1] (numeric) = 1.9919172896190873463841777073853 absolute error = 3.6923006640017545367006133e-06 relative error = 0.0001853638119943508129011097403588 % h = 0.0001 y1[1] (analytic) = 0.87314273522042058820273327439361 y1[1] (numeric) = 0.87314276030060872171986626931446 absolute error = 2.508018813351713299492085e-08 relative error = 2.8724041467499311987168913203714e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1518.2MB, alloc=4.4MB, time=213.47 NO POLE NO POLE x[1] = 0.1273 y2[1] (analytic) = 1.9919082912336896276092347223836 y2[1] (numeric) = 1.9919045579843451725807580187987 absolute error = 3.7332493444550284767035849e-06 relative error = 0.00018742074426241974196262231697477 % h = 0.0001 y1[1] (analytic) = 0.87304354375668025660081515734331 y1[1] (numeric) = 0.87304356920814337695981217813889 absolute error = 2.545146312035899702079558e-08 relative error = 2.9152570112187202543381633899370e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1522.0MB, alloc=4.4MB, time=213.77 memory used=1525.9MB, alloc=4.4MB, time=214.08 NO POLE NO POLE x[1] = 0.1274 y2[1] (analytic) = 1.9918955906285450030087611848684 y2[1] (numeric) = 1.9918918161283309510901352267229 absolute error = 3.7745002140519186259581455e-06 relative error = 0.00018949287461703103783141262457908 % h = 0.0001 y1[1] (analytic) = 0.87294435356250448637412400594317 y1[1] (numeric) = 0.87294437938935256175362036765116 absolute error = 2.582684807537949636170799e-08 relative error = 2.9585904267528141599408535488941e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1529.7MB, alloc=4.4MB, time=214.37 NO POLE NO POLE x[1] = 0.1275 y2[1] (analytic) = 1.9918828801044444803886342030816 y2[1] (numeric) = 1.9918790640500527799713782138424 absolute error = 3.8160543917004172559892392e-06 relative error = 0.00019158025955322846338092292822123 % h = 0.0001 y1[1] (analytic) = 0.87284516463888517946359093750894 y1[1] (numeric) = 0.87284519084525845290126244309361 absolute error = 2.620637327343767150558467e-08 relative error = 3.0024080255150192484246589798931e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.4MB, time=214.66 memory used=1537.3MB, alloc=4.4MB, time=214.95 NO POLE NO POLE x[1] = 0.1276 y2[1] (analytic) = 1.9918701596615151649897530821902 y2[1] (numeric) = 1.9918663017485187699891204854152 absolute error = 3.8579129963950006325967750e-06 relative error = 0.00019368295557229433394436840778994 % h = 0.0001 y1[1] (analytic) = 0.87274597698681422510458244678271 y1[1] (numeric) = 0.87274600357688332639226890724717 absolute error = 2.659006910128768646046446e-08 relative error = 3.0467134541359701092309050810872e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.4MB, time=215.24 NO POLE NO POLE x[1] = 0.1277 y2[1] (analytic) = 1.9918574292998842612413049724921 y2[1] (numeric) = 1.9918535292227370446234790616185 absolute error = 3.9000771472166178259108736e-06 relative error = 0.00019580101918175195791258265295679 % h = 0.0001 y1[1] (analytic) = 0.87264679060728349981698151358759 y1[1] (numeric) = 0.87264681758524955740445810802339 absolute error = 2.697796605758747659443580e-08 relative error = 3.0915103737232843313024728013021e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1544.9MB, alloc=4.4MB, time=215.53 memory used=1548.7MB, alloc=4.4MB, time=215.83 NO POLE NO POLE x[1] = 0.1278 y2[1] (analytic) = 1.9918446890196790727594928251248 y2[1] (numeric) = 1.991840746471715740079973242739 absolute error = 3.9425479633326795195823858e-06 relative error = 0.0001979345068953680777645361371343 % h = 0.0001 y1[1] (analytic) = 0.87254760550128486739526883763711 y1[1] (numeric) = 0.87254763287137962030266419417365 absolute error = 2.737009475290739535653654e-08 relative error = 3.1368024598707229624591148128354e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1552.6MB, alloc=4.4MB, time=216.12 NO POLE NO POLE x[1] = 0.1279 y2[1] (analytic) = 1.9918319388210270023462623559048 y2[1] (numeric) = 1.9918279534944630052994432471094 absolute error = 3.9853265639970468191087954e-06 relative error = 0.0002000834752331553115306957228144 % h = 0.0001 y1[1] (analytic) = 0.87244842166981017889860420059869 y1[1] (numeric) = 0.87244844943629608863746407912817 absolute error = 2.776648590973885987852948e-08 relative error = 3.1825934026673566888727377741476e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.4MB, time=216.42 memory used=1560.2MB, alloc=4.4MB, time=216.71 NO POLE NO POLE x[1] = 0.128 y2[1] (analytic) = 1.9918191787040555519880280173089 y2[1] (numeric) = 1.991815150289987001967968721692 absolute error = 4.0284140685500200592956169e-06 relative error = 0.0002022479807213745946893931607991 % h = 0.0001 y1[1] (analytic) = 0.87234923911385127264090795551028 y1[1] (numeric) = 0.87234926728102163514390341297765 absolute error = 2.816717036250299545746737e-08 relative error = 3.2288869067067377383298322239603e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1564.0MB, alloc=4.4MB, time=217.01 NO POLE NO POLE x[1] = 0.1281 y2[1] (analytic) = 1.9918064086688923228543979786115 y2[1] (numeric) = 1.9918023368572959045267871252093 absolute error = 4.0718115964183276108534022e-06 relative error = 0.00020442807989253762249637078232777 % h = 0.0001 y1[1] (analytic) = 0.87225005783439997418094264364948 y1[1] (numeric) = 0.87225008640657903174022156261016 absolute error = 2.857217905755927891896068e-08 relative error = 3.2756866910960775109707370115881e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.4MB, time=217.30 NO POLE NO POLE x[1] = 0.1282 y2[1] (analytic) = 1.9917936287156650152968981141892 y2[1] (numeric) = 1.9917895131953979001822119837238 absolute error = 4.1155202671151146861304654e-06 relative error = 0.00020662382928540929274767236777364 % h = 0.0001 y1[1] (analytic) = 0.87215087783244809631239473895411 y1[1] (numeric) = 0.87215090681399114952657560001612 absolute error = 2.898154305321418086106201e-08 relative error = 3.3229964894654299411980447584373e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1571.6MB, alloc=4.4MB, time=217.58 memory used=1575.4MB, alloc=4.4MB, time=217.88 NO POLE NO POLE x[1] = 0.1283 y2[1] (analytic) = 1.9917808388445014288476950000068 y2[1] (numeric) = 1.9917766793033011889155510185661 absolute error = 4.1595412002399321439814407e-06 relative error = 0.00020883528544501014897604751252181 % h = 0.0001 y1[1] (analytic) = 0.87205169910898743905395652009366 y1[1] (numeric) = 0.87205172850428095878376329877412 absolute error = 2.939529351972980677868046e-08 relative error = 3.3708200499768805944489491270901e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.4MB, time=218.17 NO POLE NO POLE x[1] = 0.1284 y2[1] (analytic) = 1.9917680390555294622183179182967 y2[1] (numeric) = 1.991763835180013983493024146514 absolute error = 4.2038755154787252937717827e-06 relative error = 0.00021106250492261882408103756521947 % h = 0.0001 y1[1] (analytic) = 0.87195252166500978963940807029062 y1[1] (numeric) = 0.87195255147847152897194513873032 absolute error = 2.981346173933253706843970e-08 relative error = 3.4191611353337415025289420492039e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1583.1MB, alloc=4.4MB, time=218.46 memory used=1586.9MB, alloc=4.4MB, time=218.75 NO POLE NO POLE x[1] = 0.1285 y2[1] (analytic) = 1.9917552293488771132983798704446 y2[1] (numeric) = 1.9917509808245445094756813521217 absolute error = 4.2485243326038226985183229e-06 relative error = 0.00021330554427577448439291148027899 % h = 0.0001 y1[1] (analytic) = 0.87185334550150692250769940499094 y1[1] (numeric) = 0.87185337573758602872936531888421 absolute error = 3.023607910622166591389327e-08 relative error = 3.4680235227897517412068061425036e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.4MB, time=219.04 NO POLE NO POLE x[1] = 0.1286 y2[1] (analytic) = 1.9917424097246724791542975980945 y2[1] (numeric) = 1.9917381162359010052293204321013 absolute error = 4.2934887714739249771659932e-06 relative error = 0.00021556446006827927417061981668101 % h = 0.0001 y1[1] (analytic) = 0.87175417061947059929303272748278 y1[1] (numeric) = 0.87175420128264772587107177849355 absolute error = 3.066317712657803905101077e-08 relative error = 3.5174110041582837537734255197329e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1594.5MB, alloc=4.4MB, time=219.33 memory used=1598.3MB, alloc=4.4MB, time=219.62 NO POLE NO POLE x[1] = 0.1287 y2[1] (analytic) = 1.9917295801830437560280106124855 y2[1] (numeric) = 1.9917252414130917219344046116563 absolute error = 4.3387699520340936060008292e-06 relative error = 0.00021783930887020076053393525633783 % h = 0.0001 y1[1] (analytic) = 0.87165499701989256881494481256279 y1[1] (numeric) = 0.87165502811467998738763522641128 absolute error = 3.109478741857269041384849e-08 relative error = 3.5673273858215554242694905643597e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1602.1MB, alloc=4.4MB, time=219.91 NO POLE NO POLE x[1] = 0.1288 y2[1] (analytic) = 1.9917167407241192393356992320336 y2[1] (numeric) = 1.9917123563551249235959800326689 absolute error = 4.3843689943157397191993647e-06 relative error = 0.00022013014725787437882994798580753 % h = 0.0001 y1[1] (analytic) = 0.87155582470376456706838951834897 y1[1] (numeric) = 0.87155585623470627944386717866718 absolute error = 3.153094171237547766031821e-08 relative error = 3.6177764887398479040897598001402e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.4MB, time=220.20 memory used=1609.8MB, alloc=4.4MB, time=220.49 NO POLE NO POLE x[1] = 0.1289 y2[1] (analytic) = 1.9917038913480273236665016281709 y2[1] (numeric) = 1.9916994610610088870535931136413 absolute error = 4.4302870184366129085145296e-06 relative error = 0.00022243703181390587843408436615097 % h = 0.0001 y1[1] (analytic) = 0.87145665367207831721382042633941 y1[1] (numeric) = 0.87145668564375016737753700430715 absolute error = 3.197167185016371657796774e-08 relative error = 3.6687621484607291956740924609785e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1613.6MB, alloc=4.4MB, time=220.78 NO POLE NO POLE x[1] = 0.129 y2[1] (analytic) = 1.9916910320548965027812298794554 y2[1] (numeric) = 1.9916865555297519019912077812917 absolute error = 4.4765251446007900220981637e-06 relative error = 0.00022476001912717376898581737164111 % h = 0.0001 y1[1] (analytic) = 0.87135748392582552956727360981603 y1[1] (numeric) = 0.87135751634283531569808797950289 absolute error = 3.241700978613081436968686e-08 relative error = 3.7202882151282834969980464414947e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.4MB, time=221.07 memory used=1621.2MB, alloc=4.4MB, time=221.36 NO POLE NO POLE x[1] = 0.1291 y2[1] (analytic) = 1.9916781628448553696110850339637 y2[1] (numeric) = 1.9916736397603622709471225737067 absolute error = 4.5230844930986639624602570e-06 relative error = 0.00022709916579283176705923722351112 % h = 0.0001 y1[1] (analytic) = 0.87125831546599790159045053069248 y1[1] (numeric) = 0.87125834833298548808535234994484 absolute error = 3.286698758649490181925236e-08 relative error = 3.7723585534923463105784135785648e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1625.0MB, alloc=4.4MB, time=221.65 NO POLE NO POLE x[1] = 0.1292 y2[1] (analytic) = 1.9916652837180326162563711799802 y2[1] (numeric) = 1.9916607137518483093238876149498 absolute error = 4.5699661843069324835650304e-06 relative error = 0.00022945452841231124326865085150391 % h = 0.0001 y1[1] (analytic) = 0.87115914829358711788080106490534 y1[1] (numeric) = 0.87115918161522454738826540153126 absolute error = 3.332163742950746433662592e-08 relative error = 3.8249770429177453207116434143347e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1628.9MB, alloc=4.4MB, time=221.94 NO POLE NO POLE memory used=1632.7MB, alloc=4.4MB, time=222.23 x[1] = 0.1293 y2[1] (analytic) = 1.9916523946745570339852085249954 y2[1] (numeric) = 1.9916477775032183453982214610279 absolute error = 4.6171713386885869870639675e-06 relative error = 0.00023182616359332366980937869622825 % h = 0.0001 y1[1] (analytic) = 0.87105998240958485016160665644799 y1[1] (numeric) = 0.87106001619057645562357853936625 absolute error = 3.378099160546197188291826e-08 relative error = 3.8781475773935470426656475424759e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.4MB, time=222.52 NO POLE NO POLE x[1] = 0.1294 y2[1] (analytic) = 1.9916394957145575132322454830252 y2[1] (numeric) = 1.9916348310134807203309278171157 absolute error = 4.6647010767929013176659095e-06 relative error = 0.00023421412794986306843391747152125 % h = 0.0001 y1[1] (analytic) = 0.87096081781498275727206360014593 y1[1] (numeric) = 0.87096085206006527397457137507963 absolute error = 3.424508251670250777493370e-08 relative error = 3.9318740655423092475481365950987e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.4MB, time=222.82 NO POLE NO POLE x[1] = 0.1295 y2[1] (analytic) = 1.991626586838163043597369770266 y2[1] (numeric) = 1.9916218742816437881768121259394 absolute error = 4.7125565192554205576443266e-06 relative error = 0.00023661847810220845886363761725458 % h = 0.0001 y1[1] (analytic) = 0.87086165451077248515736645327321 y1[1] (numeric) = 0.87086168922471516278976282248152 absolute error = 3.471394267763239636920831e-08 relative error = 3.9861604306293391665771121331672e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1644.1MB, alloc=4.4MB, time=223.10 memory used=1647.9MB, alloc=4.4MB, time=223.39 NO POLE NO POLE x[1] = 0.1296 y2[1] (analytic) = 1.9916136680455027138444185090966 y2[1] (numeric) = 1.9916089073067159158945980272203 absolute error = 4.7607387867979498204818763e-06 relative error = 0.00023903927067692630763618406335467 % h = 0.0001 y1[1] (analytic) = 0.87076249249794566685879157610865 y1[1] (numeric) = 0.87076252768555038158162120156455 absolute error = 3.518760471472282962545590e-08 relative error = 4.0410106105719574784818408567015e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1651.7MB, alloc=4.4MB, time=223.67 NO POLE NO POLE x[1] = 0.1297 y2[1] (analytic) = 1.991600739336705711899887340441 y2[1] (numeric) = 1.9915959300877054833568436880796 absolute error = 4.8092490002285430436523614e-06 relative error = 0.00024147656230687297738874908728806 % h = 0.0001 y1[1] (analytic) = 0.87066333177749392250378080153137 y1[1] (numeric) = 0.87066336744359528902527335086654 absolute error = 3.566610136652149254933517e-08 relative error = 4.0964285579487680837651160539637e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.4MB, time=223.96 memory used=1659.4MB, alloc=4.4MB, time=224.25 NO POLE NO POLE x[1] = 0.1298 y2[1] (analytic) = 1.9915878007119013248516385445047 y2[1] (numeric) = 1.9915829426236208833598580043041 absolute error = 4.8580882804414917805402006e-06 relative error = 0.00024393040963119717657738609328233 % h = 0.0001 y1[1] (analytic) = 0.87056417235040885929602523375467 y1[1] (numeric) = 0.87056420849987434295721274820665 absolute error = 3.614946548366118751445198e-08 relative error = 4.1524182400089336695602708801769e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.4MB, time=224.53 NO POLE NO POLE x[1] = 0.1299 y2[1] (analytic) = 1.9915748521712189389476081698967 y2[1] (numeric) = 1.9915699449134705216336166723752 absolute error = 4.9072577484173139914975215e-06 relative error = 0.00024640086929534240963253302691454 % h = 0.0001 y1[1] (analytic) = 0.87046501421768207150554917629734 y1[1] (numeric) = 0.87046505085541210037400663980782 absolute error = 3.663773002886845746351048e-08 relative error = 4.2089836386814570688189709418666e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.4MB, time=224.82 memory used=1670.8MB, alloc=4.4MB, time=225.11 NO POLE NO POLE x[1] = 0.13 y2[1] (analytic) = 1.9915618937147880395945121711518 y2[1] (numeric) = 1.9915569369562628168516781321609 absolute error = 4.9567585252227428340389909e-06 relative error = 0.00024888799795104942755091443580524 % h = 0.0001 y1[1] (analytic) = 0.87036585738030514045879418929169 y1[1] (numeric) = 0.87036589451123321743100217781848 absolute error = 3.713092807697220798852679e-08 relative error = 4.2661287505844684175683979927681e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1674.6MB, alloc=4.4MB, time=225.39 NO POLE NO POLE x[1] = 0.1301 y2[1] (analytic) = 1.991548925342738211356551554664 y2[1] (numeric) = 1.9915439187510062006410993801716 absolute error = 5.0065917320107154521744924e-06 relative error = 0.00025139185225635867892399098217454 % h = 0.0001 y1[1] (analytic) = 0.8702667018392696345287032762274 y1[1] (numeric) = 0.87026673946836244944103156624649 absolute error = 3.762909281491232829001909e-08 relative error = 4.3238575870345181139790480905791e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1678.4MB, alloc=4.4MB, time=225.68 memory used=1682.3MB, alloc=4.4MB, time=225.97 NO POLE NO POLE x[1] = 0.1302 y2[1] (analytic) = 1.9915359470551991379541165330459 y2[1] (numeric) = 1.9915308902967091175923516532817 absolute error = 5.0567584900203617648797642e-06 relative error = 0.00025391248887561276140312539969498 % h = 0.0001 y1[1] (analytic) = 0.87016754759556710912480520023036 y1[1] (numeric) = 0.8701675857278246508731162153182 absolute error = 3.813225754174831101508784e-08 relative error = 4.3821741740558755829869454432083e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1686.1MB, alloc=4.4MB, time=226.26 NO POLE NO POLE x[1] = 0.1303 y2[1] (analytic) = 1.9915229588523006022624896879256 y2[1] (numeric) = 1.9915178515923800252692359828163 absolute error = 5.1072599205769932537051093e-06 relative error = 0.00025644996447945887360163389301503 % h = 0.0001 y1[1] (analytic) = 0.87006839465018910668329892997564 y1[1] (numeric) = 0.87006843329064477535116990427561 absolute error = 3.864045566866787097429997e-08 relative error = 4.4410825523898338502166828616666e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.4MB, time=226.54 memory used=1693.7MB, alloc=4.4MB, time=226.84 NO POLE NO POLE x[1] = 0.1304 y2[1] (analytic) = 1.9915099607341724863105481411954 y2[1] (numeric) = 1.9915048026370273942187986189051 absolute error = 5.1580971450920917495222903e-06 relative error = 0.00025900433574485126743389201943067 % h = 0.0001 y1[1] (analytic) = 0.86996924300412715665713821533376 y1[1] (numeric) = 0.86996928215784787565270095262466 absolute error = 3.915372071899556273729090e-08 relative error = 4.5005867775040199289542998892001e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1697.5MB, alloc=4.4MB, time=227.13 NO POLE NO POLE x[1] = 0.1305 y2[1] (analytic) = 1.9914969527009447712794647347236 y2[1] (numeric) = 1.9914917434296597079812463250036 absolute error = 5.2092712850632982184097200e-06 relative error = 0.00026157565935505370089166408309119 % h = 0.0001 y1[1] (analytic) = 0.86987009265837277550611629284942 y1[1] (numeric) = 0.86987013233045910370751339984752 absolute error = 3.967208632820139710699810e-08 relative error = 4.5606909196017110239215922339951e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1701.3MB, alloc=4.4MB, time=227.41 NO POLE NO POLE memory used=1705.1MB, alloc=4.4MB, time=227.70 x[1] = 0.1306 y2[1] (analytic) = 1.9914839347527475375014082185443 y2[1] (numeric) = 1.9914786739692854630998615424827 absolute error = 5.2607834620744015466760616e-06 relative error = 0.00026416399199964189125782524381719 % h = 0.0001 y1[1] (analytic) = 0.86977094361391746668695072115183 y1[1] (numeric) = 0.86977098380950371059640719359194 absolute error = 4.019558624390945647244011e-08 relative error = 4.6213990636311565556060720106641e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.4MB, time=228.00 NO POLE NO POLE x[1] = 0.1307 y2[1] (analytic) = 1.9914709068897109644582424475362 y2[1] (numeric) = 1.9914655942549131691309174251879 absolute error = 5.3126347977953273250223483e-06 relative error = 0.00026676939037450596875764538291474 % h = 0.0001 y1[1] (analytic) = 0.86967179587175272064336834639579 y1[1] (numeric) = 0.86967183659600704654987738635067 absolute error = 4.072425432590650903995488e-08 relative error = 4.6827153092949060089033951013794e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1712.8MB, alloc=4.4MB, time=228.29 NO POLE NO POLE x[1] = 0.1308 y2[1] (analytic) = 1.991457869111965330780224586606 y2[1] (numeric) = 1.991452504285551348653592743868 absolute error = 5.3648264139821266318427380e-06 relative error = 0.0002693919111818529306478041058029 % h = 0.0001 y1[1] (analytic) = 0.8695726494328700147961903978327 y1[1] (numeric) = 0.86957269069099456094681234064388 absolute error = 4.125812454615062194281118e-08 relative error = 4.7446437710591426098316649469505e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1716.6MB, alloc=4.4MB, time=228.59 memory used=1720.4MB, alloc=4.4MB, time=228.88 NO POLE NO POLE x[1] = 0.1309 y2[1] (analytic) = 1.9914448214196410142447023243858 y2[1] (numeric) = 1.9914394040602085372798866603752 absolute error = 5.4173594324769648156640106e-06 relative error = 0.00027203161113020909574330589071354 % h = 0.0001 y1[1] (analytic) = 0.86947350429826081353341771361058 y1[1] (numeric) = 0.86947354609549180231319094271768 absolute error = 4.179723098877977322910710e-08 relative error = 4.8071885781630228340796607215661e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1724.2MB, alloc=4.4MB, time=229.17 NO POLE NO POLE x[1] = 0.131 y2[1] (analytic) = 1.9914317638128684917748100954616 y2[1] (numeric) = 1.9914262935778932836645333715367 absolute error = 5.4702349752081102767239249e-06 relative error = 0.00027468854693442255938246491096364 % h = 0.0001 y1[1] (analytic) = 0.86937436046891656820031609690237 y1[1] (numeric) = 0.86937440281052441832077882477175 absolute error = 4.234160785012046272786938e-08 relative error = 4.8703538746280217511536152102771e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1728.0MB, alloc=4.4MB, time=229.46 memory used=1731.9MB, alloc=4.4MB, time=229.76 NO POLE NO POLE x[1] = 0.1311 y2[1] (analytic) = 1.9914186962917783394381643111425 y2[1] (numeric) = 1.9914131728376141495149166225994 absolute error = 5.5234541641899232476885431e-06 relative error = 0.00027736277531566564883012864760321 % h = 0.0001 y1[1] (analytic) = 0.86927521794582871708950180246149 y1[1] (numeric) = 0.86927526083711815578582359572906 absolute error = 4.289128943869632179326757e-08 relative error = 4.9341438192672842078898091168618e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1735.7MB, alloc=4.4MB, time=230.06 NO POLE NO POLE x[1] = 0.1312 y2[1] (analytic) = 1.991405618856501232445557598786 y2[1] (numeric) = 1.9914000418383797096009840901474 absolute error = 5.5770181215228445735086386e-06 relative error = 0.00028005435300143737911930983713865 % h = 0.0001 y1[1] (analytic) = 0.86917607672998868543102715370395 y1[1] (numeric) = 0.86917612017629886066774908056081 absolute error = 4.344631017523672192685686e-08 relative error = 4.9985625856949818551028436044660e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1739.5MB, alloc=4.4MB, time=230.36 memory used=1743.3MB, alloc=4.4MB, time=230.66 NO POLE NO POLE x[1] = 0.1313 y2[1] (analytic) = 1.9913925315071679451496520496909 y2[1] (numeric) = 1.9913869005791985517651616343946 absolute error = 5.6309279693933844904152963e-06 relative error = 0.00028276333672556590933139601390014 % h = 0.0001 y1[1] (analytic) = 0.86907693682238788538246629041611 y1[1] (numeric) = 0.86907698082909247806784856817957 absolute error = 4.400670459268538227776346e-08 relative error = 5.0636143623356760211420728989033e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1747.1MB, alloc=4.4MB, time=230.95 NO POLE NO POLE x[1] = 0.1314 y2[1] (analytic) = 1.9913794342439093510436714755718 y2[1] (numeric) = 1.9913737490590792769322674207519 absolute error = 5.6851848300741114040548199e-06 relative error = 0.00028548978322821099931510621404346 % h = 0.0001 y1[1] (analytic) = 0.86897779822401771601900104718718 y1[1] (numeric) = 0.86897784279652505222797706791377 absolute error = 4.457250733620897602072659e-08 relative error = 5.1293033524336864361313168878921e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1750.9MB, alloc=4.4MB, time=231.25 memory used=1754.7MB, alloc=4.4MB, time=231.54 NO POLE NO POLE x[1] = 0.1315 y2[1] (analytic) = 1.991366327066856422760092673628 y2[1] (numeric) = 1.9913605872770304991194259105711 absolute error = 5.7397898259236406667630569e-06 relative error = 0.00028823374925586646684436425865872 % h = 0.0001 y1[1] (analytic) = 0.86887866093586956332350696266567 y1[1] (numeric) = 0.86887870607962272652924257457655 absolute error = 4.514375316320573561191088e-08 relative error = 5.1956337740624658106695630960670e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1758.6MB, alloc=4.4MB, time=231.84 NO POLE NO POLE x[1] = 0.1316 y2[1] (analytic) = 1.99135320997614023206933570022 y2[1] (numeric) = 1.991347415232060845445981720965 absolute error = 5.7947440793866233539792550e-06 relative error = 0.00029099529156136264521525822542429 % h = 0.0001 y1[1] (analytic) = 0.8687795249589348001766394197389 y1[1] (numeric) = 0.86877957067941174349069634214208 absolute error = 4.572047694331405692240318e-08 relative error = 5.2626098601339802727730117427563e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1762.4MB, alloc=4.4MB, time=232.13 memory used=1766.2MB, alloc=4.4MB, time=232.43 NO POLE NO POLE x[1] = 0.1317 y2[1] (analytic) = 1.9913400829718919498784531531661 y2[1] (numeric) = 1.991334232923178956143413353606 absolute error = 5.8500487129937350397995601e-06 relative error = 0.00029377446690386884128225558382268 % h = 0.0001 y1[1] (analytic) = 0.86868039029420478634691991673469 y1[1] (numeric) = 0.86868043659691844476802216604244 absolute error = 4.630271365842110224930775e-08 relative error = 5.3302358584080956668414374284358e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1770.0MB, alloc=4.4MB, time=232.74 NO POLE NO POLE x[1] = 0.1318 y2[1] (analytic) = 1.991326946054242846229818462673 y2[1] (numeric) = 1.991321040349393484565246792403 absolute error = 5.9057048493616645716702700e-06 relative error = 0.00029657133204889579393384370613304 % h = 0.0001 y1[1] (analytic) = 0.86858125694267086848082246974444 y1[1] (numeric) = 0.86858130383316927115222467409821 absolute error = 4.689049840267140220435377e-08 relative error = 5.3985160315019697184344627977926e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1773.8MB, alloc=4.4MB, time=233.05 NO POLE NO POLE x[1] = 0.1319 y2[1] (analytic) = 1.9913137992233242902998131909134 y2[1] (numeric) = 1.9913078375097130971969689699577 absolute error = 5.9617136111931028442209557e-06 relative error = 0.00029938594376829813300776539731191 % h = 0.0001 y1[1] (analytic) = 0.8684821249053243800928601461666 y1[1] (numeric) = 0.86848217238919076256831662609582 absolute error = 4.748386638247545647992922e-08 relative error = 5.4674546568994500686459794141522e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1777.6MB, alloc=4.4MB, time=233.34 memory used=1781.4MB, alloc=4.4MB, time=233.62 NO POLE NO POLE x[1] = 0.132 y2[1] (analytic) = 1.991300642479267750397513340263 y2[1] (numeric) = 1.9912946244031464736659411027016 absolute error = 6.0180761212767315722375614e-06 relative error = 0.00030221835884027683864601908808786 % h = 0.0001 y1[1] (analytic) = 0.86838299418315664155567172956986 y1[1] (numeric) = 0.86838304226600955807400522202482 absolute error = 4.808285291651833349245496e-08 relative error = 5.5370560269604781818675549480291e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1785.3MB, alloc=4.4MB, time=233.90 NO POLE NO POLE x[1] = 0.1321 y2[1] (analytic) = 1.9912874758222047939633746702112 y2[1] (numeric) = 1.9912814010287023067513118946141 absolute error = 6.0747935024872120627755971e-06 relative error = 0.00030506863404938170108979351761271 % h = 0.0001 y1[1] (analytic) = 0.86828386477715896009010851597497 y1[1] (numeric) = 0.86828391346465239585837741898822 absolute error = 4.868749343576826890301325e-08 relative error = 5.6073244489304991307343441529098e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1789.1MB, alloc=4.4MB, time=234.18 memory used=1792.9MB, alloc=4.4MB, time=234.46 NO POLE NO POLE x[1] = 0.1322 y2[1] (analytic) = 1.991274299252267087567917022957 y2[1] (numeric) = 1.9912681673853893023939306094229 absolute error = 6.1318668777851739864135341e-06 relative error = 0.00030793682618651378091450659265335 % h = 0.0001 y1[1] (analytic) = 0.86818473668832262975532124165454 y1[1] (numeric) = 0.86818478598614611324058425679904 absolute error = 4.929782348348526301514450e-08 relative error = 5.6782642449498772620496024360195e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1796.7MB, alloc=4.4MB, time=234.74 NO POLE NO POLE x[1] = 0.1323 y2[1] (analytic) = 1.9912611127695863969104076577057 y2[1] (numeric) = 1.991254923472216179706260011187 absolute error = 6.1892973702172041476465187e-06 relative error = 0.00031082299204892786970511840284326 % h = 0.0001 y1[1] (analytic) = 0.86808560991763893143884714254974 y1[1] (numeric) = 0.86808565983151764666852419227619 absolute error = 4.991387871522967704972645e-08 relative error = 5.7498797520633177474865831564378e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1800.5MB, alloc=4.4MB, time=235.02 memory used=1804.3MB, alloc=4.4MB, time=235.33 NO POLE NO POLE x[1] = 0.1324 y2[1] (analytic) = 1.9912479163742945868175435936767 y2[1] (numeric) = 1.9912416692881916709822891731639 absolute error = 6.2470861029158352544205128e-06 relative error = 0.00031372718844023495117188808153252 % h = 0.0001 y1[1] (analytic) = 0.86798648446609913284669714540321 y1[1] (numeric) = 0.86798653500179403171752544225291 absolute error = 5.053569489887082829684970e-08 relative error = 5.8221753222292940228692046379830e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1808.1MB, alloc=4.4MB, time=235.61 NO POLE NO POLE x[1] = 0.1325 y2[1] (analytic) = 1.9912347100665236212421329618379 y2[1] (numeric) = 1.9912284048323245217074461548616 absolute error = 6.3052341990995346868069763e-06 relative error = 0.00031664947217040466270674455460875 % h = 0.0001 y1[1] (analytic) = 0.86788736033469448849344319070725 y1[1] (numeric) = 0.8678874114980024030890273353109 absolute error = 5.116330791459558414460365e-08 relative error = 5.8951553223294811198355280774292e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1812.0MB, alloc=4.4MB, time=235.88 memory used=1815.8MB, alloc=4.4MB, time=236.18 NO POLE NO POLE x[1] = 0.1326 y2[1] (analytic) = 1.9912214938464055632617753653787 y2[1] (numeric) = 1.9912151301036234905685105471758 absolute error = 6.3637427820726932648182029e-06 relative error = 0.00031958990005576775738044109543906 % h = 0.0001 y1[1] (analytic) = 0.86778823752441623969230568756629 y1[1] (numeric) = 0.86778828932116999460926067225333 absolute error = 5.179675375491695498468704e-08 relative error = 5.9688241341781948936907435654341e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1819.6MB, alloc=4.4MB, time=236.45 NO POLE NO POLE x[1] = 0.1327 y2[1] (analytic) = 1.9912082677140725750775412489351 y2[1] (numeric) = 1.9912018451010973494635258855141 absolute error = 6.4226129752256140153634210e-06 relative error = 0.00032254852891901856638066365061812 % h = 0.0001 y1[1] (analytic) = 0.86768911603625561454524110057299 y1[1] (numeric) = 0.86768916847232413922792709532994 absolute error = 5.243606852468268599475695e-08 relative error = 6.0431861545318371512589664564476e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1823.4MB, alloc=4.4MB, time=236.73 memory used=1827.2MB, alloc=4.4MB, time=237.03 NO POLE NO POLE x[1] = 0.1328 y2[1] (analytic) = 1.99119503166965691801265027658 y2[1] (numeric) = 1.9911885498237548835117119308071 absolute error = 6.4818459020345009383457729e-06 relative error = 0.00032552541558921746189126301807103 % h = 0.0001 y1[1] (analytic) = 0.86758999587120382793302966879695 y1[1] (numeric) = 0.86759004895249226901687746622745 absolute error = 5.308128844108384779743050e-08 relative error = 6.1182457950983466825458351222392e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1831.0MB, alloc=4.4MB, time=237.30 NO POLE NO POLE x[1] = 0.1329 y2[1] (analytic) = 1.9911817857132909525111487185922 y2[1] (numeric) = 1.9911752442706048910633768183081 absolute error = 6.5414426860614477719002841e-06 relative error = 0.00032852061690179332041278093030318 % h = 0.0001 y1[1] (analytic) = 0.86749087703025208150536325698511 y1[1] (numeric) = 0.86749093076270191516878925283847 absolute error = 5.373244983366342599585336e-08 relative error = 6.1940074825466562000265331610948e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1834.8MB, alloc=4.4MB, time=237.60 NO POLE NO POLE memory used=1838.7MB, alloc=4.4MB, time=237.91 x[1] = 0.133 y2[1] (analytic) = 1.9911685298451071381365858470171 y2[1] (numeric) = 1.9911619284406561837098290740816 absolute error = 6.6014044509544267567729355e-06 relative error = 0.00033153418969854598652444018737896 % h = 0.0001 y1[1] (analytic) = 0.86739175951439156367093333907315 y1[1] (numeric) = 0.86739181390398070799584292482211 absolute error = 5.438958914432490958574896e-08 relative error = 6.2704756585161551893764827666998e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1842.5MB, alloc=4.4MB, time=238.20 NO POLE NO POLE x[1] = 0.1331 y2[1] (analytic) = 1.9911552640652380335706893400321 y2[1] (numeric) = 1.991148602332917586293289499082 absolute error = 6.6617323204472773998409501e-06 relative error = 0.00033456619082764873708776896553305 % h = 0.0001 y1[1] (analytic) = 0.86729264332461344958751911410682 y1[1] (numeric) = 0.86729269837735637692839735796962 absolute error = 5.505274292734087824386280e-08 relative error = 6.3476547796261586754646657240862e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1846.3MB, alloc=4.4MB, time=238.47 NO POLE NO POLE x[1] = 0.1332 y2[1] (analytic) = 1.9911419883738162966120396951306 y2[1] (numeric) = 1.9911352659463979369168029207233 absolute error = 6.7224274183596952367744073e-06 relative error = 0.00033761667714365074589202954425518 % h = 0.0001 y1[1] (analytic) = 0.86719352846190890115207575467236 y1[1] (numeric) = 0.86719358418385675051366424738821 absolute error = 5.572194784936158849271585e-08 relative error = 6.4255493174853819074321342235982e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1850.1MB, alloc=4.4MB, time=238.74 memory used=1853.9MB, alloc=4.4MB, time=239.04 NO POLE NO POLE x[1] = 0.1333 y2[1] (analytic) = 1.9911287027709746841747436511374 y2[1] (numeric) = 1.9911219192801060869541498118403 absolute error = 6.7834908685972205938392971e-06 relative error = 0.00034068570550747954874162169613573 % h = 0.0001 y1[1] (analytic) = 0.8670944149272690669908227879353 y1[1] (numeric) = 0.86709447132450975641438152951635 absolute error = 5.639724068942355874158105e-08 relative error = 6.5041637587014209666809309404324e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1857.7MB, alloc=4.4MB, time=239.31 NO POLE NO POLE x[1] = 0.1334 y2[1] (analytic) = 1.9911154072568460522871066190683 y2[1] (numeric) = 1.9911085623330509010597577769423 absolute error = 6.8449237951512273488421260e-06 relative error = 0.00034377333278644350898563100028981 % h = 0.0001 y1[1] (analytic) = 0.86699530272168508244933260938644 y1[1] (numeric) = 0.86699535980034342140748581298381 absolute error = 5.707865833895815320359737e-08 relative error = 6.5835026048902393016013466751939e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1861.6MB, alloc=4.4MB, time=239.58 memory used=1865.4MB, alloc=4.4MB, time=239.87 NO POLE NO POLE x[1] = 0.1335 y2[1] (analytic) = 1.9911021018315633560903041218489 y2[1] (numeric) = 1.9910951951042412571786129056608 absolute error = 6.9067273220989116912161881e-06 relative error = 0.00034687961585423428348969246721419 % h = 0.0001 y1[1] (analytic) = 0.86689619184614806958261912939442 y1[1] (numeric) = 0.8668962496123858713827838183297 absolute error = 5.776623780180016468893528e-08 relative error = 6.6635703726856601928680324708244e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1869.2MB, alloc=4.4MB, time=240.15 NO POLE NO POLE x[1] = 0.1336 y2[1] (analytic) = 1.991088786495259649837052242903 y2[1] (numeric) = 1.9910818175926860465561709932915 absolute error = 6.9689025736032808812496115e-06 relative error = 0.00035000461159092928905033973385179 % h = 0.0001 y1[1] (analytic) = 0.86679708230164913714522655266383 y1[1] (numeric) = 0.86679714076166533134162282659185 absolute error = 5.846001619419639627392802e-08 relative error = 6.7443715937488651531382063367196e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1873.0MB, alloc=4.4MB, time=240.42 memory used=1876.8MB, alloc=4.4MB, time=240.70 NO POLE NO POLE x[1] = 0.1337 y2[1] (analytic) = 1.9910754612480680868902770836274 y2[1] (numeric) = 1.9910684297973941737482686283312 absolute error = 7.0314506739131420084552962e-06 relative error = 0.00035314837688299416925201043569355 % h = 0.0001 y1[1] (analytic) = 0.86669797408917938058131829069807 y1[1] (numeric) = 0.86669803324921012539556013678073 absolute error = 5.916003074481424184608266e-08 relative error = 6.8259108147778982649878115299727e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1880.6MB, alloc=4.4MB, time=240.98 NO POLE NO POLE x[1] = 0.1338 y2[1] (analytic) = 1.9910621260901219197217832297633 y2[1] (numeric) = 1.9910550317173745566310341469114 absolute error = 7.0943727473630907490828519e-06 relative error = 0.00035631096862328526176687801272161 % h = 0.0001 y1[1] (analytic) = 0.8665988672097298820147660073659 y1[1] (numeric) = 0.86659892707604867676503153225132 absolute error = 5.986631879475026552488542e-08 relative error = 6.9081925975171764609242036605354e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1884.4MB, alloc=4.4MB, time=241.25 memory used=1888.3MB, alloc=4.4MB, time=241.53 NO POLE NO POLE x[1] = 0.1339 y2[1] (analytic) = 1.9910487810215544999109212266794 y2[1] (numeric) = 1.9910416233516361264107984540285 absolute error = 7.1576699183735001227726509e-06 relative error = 0.00035949244371105206609768058924575 % h = 0.0001 y1[1] (analytic) = 0.86649976166429171023923879767105 y1[1] (numeric) = 0.86649982224320950777801875598616 absolute error = 6.057891779753877995831511e-08 relative error = 6.9912215187670057493165404679262e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1892.1MB, alloc=4.4MB, time=241.80 NO POLE NO POLE x[1] = 0.134 y2[1] (analytic) = 1.9910354260424992781432540635797 y2[1] (numeric) = 1.9910282046991878276340057114725 absolute error = 7.2213433114505092483521072e-06 relative error = 0.00036269285905193971176371740351946 % h = 0.0001 y1[1] (analytic) = 0.86640065745385592070829249982374 y1[1] (numeric) = 0.86640071875172123986871599480296 absolute error = 6.129786531916042349497922e-08 relative error = 7.0750021703931033900877943652234e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1895.9MB, alloc=4.4MB, time=242.07 memory used=1899.7MB, alloc=4.4MB, time=242.35 NO POLE NO POLE x[1] = 0.1341 y2[1] (analytic) = 1.9910220611530898042092226666487 y2[1] (numeric) = 1.9910147757590386181971238923542 absolute error = 7.2853940511860120987742945e-06 relative error = 0.0003659122715579914269301833851467 % h = 0.0001 y1[1] (analytic) = 0.86630155457941355552545914071341 y1[1] (numeric) = 0.86630161660261259357619537250008 absolute error = 6.202319903805073623178667e-08 relative error = 7.1595391593361260240149188118953e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1903.5MB, alloc=4.4MB, time=242.62 NO POLE NO POLE x[1] = 0.1342 y2[1] (analytic) = 1.9910086863534597270028104011484 y2[1] (numeric) = 1.9910013365301974693565552021322 absolute error = 7.3498232622576462551990162e-06 relative error = 0.00036915073814765100748101254016632 % h = 0.0001 y1[1] (analytic) = 0.86620245304195564343433651488166 y1[1] (numeric) = 0.86620251579691238854307145195325 absolute error = 6.275495674510873493707159e-08 relative error = 7.2448371076212037594864140792582e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1907.3MB, alloc=4.4MB, time=242.89 NO POLE NO POLE memory used=1911.1MB, alloc=4.4MB, time=243.17 x[1] = 0.1343 y2[1] (analytic) = 1.9909953016437427945202065824794 y2[1] (numeric) = 1.9909878870116733657385463660407 absolute error = 7.4146320694287816602164387e-06 relative error = 0.00037240831574576528653540075510026 % h = 0.0001 y1[1] (analytic) = 0.8661033528424731998086778970945 y1[1] (numeric) = 0.86610341633564954351416474617682 absolute error = 6.349317634370548684908232e-08 relative error = 7.3309006523674802205691921760887e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1915.0MB, alloc=4.4MB, time=243.45 NO POLE NO POLE x[1] = 0.1344 y2[1] (analytic) = 1.9909819070240728538584689962201 y2[1] (numeric) = 1.9909744272024753053490987828187 absolute error = 7.4798215975485093702134014e-06 relative error = 0.00037568506128358660440817877854492 % h = 0.0001 y1[1] (analytic) = 0.8660042539819572266424818886131 y1[1] (numeric) = 0.86600431821985307633516423836302 absolute error = 6.423789584969268234974992e-08 relative error = 7.4177344457976585602393292252408e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1918.8MB, alloc=4.4MB, time=243.72 NO POLE NO POLE x[1] = 0.1345 y2[1] (analytic) = 1.9909685024945838512141854271572 y2[1] (numeric) = 1.9909609571016122995838785446419 absolute error = 7.5453929715516303068825153e-06 relative error = 0.00037898103169877527901420610538754 % h = 0.0001 y1[1] (analytic) = 0.86590515646139871254008239726208 y1[1] (numeric) = 0.86590522145055210395128891091245 absolute error = 6.498915339141120651365037e-08 relative error = 7.5053431552475534426339598754588e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1922.6MB, alloc=4.4MB, time=243.99 memory used=1926.4MB, alloc=4.4MB, time=244.27 NO POLE NO POLE x[1] = 0.1346 y2[1] (analytic) = 1.9909550880554098318821341973214 y2[1] (numeric) = 1.9909474767080933732381263231575 absolute error = 7.6113473164586440078741639e-06 relative error = 0.00038229628393540207671695662099423 % h = 0.0001 y1[1] (analytic) = 0.86580606028178863270623875139437 y1[1] (numeric) = 0.86580612602877584240594828346936 absolute error = 6.574698720969970953207499e-08 relative error = 7.5937314631756489981842897543500e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1930.2MB, alloc=4.4MB, time=244.54 NO POLE NO POLE x[1] = 0.1347 y2[1] (analytic) = 1.99094166370668494025394371304 y2[1] (numeric) = 1.9909339860209275645165671215237 absolute error = 7.6776857573757373765915163e-06 relative error = 0.00038563087494395068362146671373157 % h = 0.0001 y1[1] (analytic) = 0.86570696544411794893622594785194 y1[1] (numeric) = 0.86570703195555360683940195997497 absolute error = 6.651143565790317601212303e-08 relative error = 7.6829040671726627554923180187080e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1934.0MB, alloc=4.4MB, time=244.81 memory used=1937.8MB, alloc=4.4MB, time=245.09 NO POLE NO POLE x[1] = 0.1348 y2[1] (analytic) = 1.9909282294485434198167510210223 y2[1] (numeric) = 1.9909204850391239250433198923543 absolute error = 7.7444094194947734311286680e-06 relative error = 0.00038898486168132017731181688734518 % h = 0.0001 y1[1] (analytic) = 0.86560787194937760960592503402127 y1[1] (numeric) = 0.8656079392319148114874181847523 absolute error = 6.728253720188149315073103e-08 relative error = 7.7728656799711155538166221513894e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1941.7MB, alloc=4.4MB, time=245.36 NO POLE NO POLE x[1] = 0.1349 y2[1] (analytic) = 1.990914785281119613151859373489 y2[1] (numeric) = 1.990906973761691519871807021469 absolute error = 7.8115194280932800523520200e-06 relative error = 0.00039235830111082749903331770052232 % h = 0.0001 y1[1] (analytic) = 0.8655087797985585496619136240828 y1[1] (numeric) = 0.86550884785888896967993140763591 absolute error = 6.806033042001801778355311e-08 relative error = 7.8636210294549074400351934035506e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1945.5MB, alloc=4.4MB, time=245.64 memory used=1949.3MB, alloc=4.4MB, time=245.92 NO POLE NO POLE x[1] = 0.135 y2[1] (analytic) = 1.9909013312045479619333948023605 y2[1] (numeric) = 1.9908934521876394274946636773512 absolute error = 7.8790169085344387311250093e-06 relative error = 0.00039575125020220992631957102846046 % h = 0.0001 y1[1] (analytic) = 0.86540968899265169061155654955344 y1[1] (numeric) = 0.86540975783750569383969885816001 absolute error = 6.884485400322814230860657e-08 relative error = 7.9551748586688995539560257611346e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1953.1MB, alloc=4.4MB, time=246.19 NO POLE NO POLE x[1] = 0.1351 y2[1] (analytic) = 1.9908878672189630069269617025168 y2[1] (numeric) = 1.9908799203159767398536470262131 absolute error = 7.9469029862670733146763037e-06 relative error = 0.00039916376593162754606457767316852 % h = 0.0001 y1[1] (analytic) = 0.86531059953264794051309664422115 y1[1] (numeric) = 0.8653106691687946954809561288183 absolute error = 6.963614675496785948459715e-08 relative error = 8.0475319258285020058488489494321e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1956.9MB, alloc=4.4MB, time=246.46 memory used=1960.7MB, alloc=4.4MB, time=246.74 NO POLE NO POLE x[1] = 0.1352 y2[1] (analytic) = 1.9908743933244993879882974241424 y2[1] (numeric) = 1.9908663781457125623495453125701 absolute error = 8.0151787868256387521115723e-06 relative error = 0.00040259590528166572804006231585095 % h = 0.0001 y1[1] (analytic) = 0.86521151141953819396574566357075 y1[1] (numeric) = 0.86521158185378578520807176740906 absolute error = 7.043424759124232610383831e-08 relative error = 8.1406970043292677500740902657112e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1964.6MB, alloc=4.4MB, time=247.01 NO POLE NO POLE x[1] = 0.1353 y2[1] (analytic) = 1.9908609095212918440619258741701 y2[1] (numeric) = 1.9908528256758560138520868052245 absolute error = 8.0838454358302098390689456e-06 relative error = 0.0004060477252413375988581869722795 % h = 0.0001 y1[1] (analytic) = 0.86511242465431333209977533880013 y1[1] (numeric) = 0.86511249589350887271420087847889 absolute error = 7.123919554061442553967876e-08 relative error = 8.2346748827564924586878301477117e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1968.4MB, alloc=4.4MB, time=247.28 memory used=1972.2MB, alloc=4.4MB, time=247.58 NO POLE NO POLE x[1] = 0.1354 y2[1] (analytic) = 1.9908474158094752131798101268369 y2[1] (numeric) = 1.9908392629054162267098486085601 absolute error = 8.1529040589864699615182768e-06 relative error = 0.00040951928280608651637982403853562 % h = 0.0001 y1[1] (analytic) = 0.86501333923796422256660856552572 y1[1] (numeric) = 0.86501341128899396677993773387859 absolute error = 7.205102974421332916835287e-08 relative error = 8.3294703648948203989042597837939e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1976.0MB, alloc=4.4MB, time=247.87 NO POLE NO POLE x[1] = 0.1355 y2[1] (analytic) = 1.9908339121891844324600040433656 y2[1] (numeric) = 1.990825689833402346760165339048 absolute error = 8.2223557820856998387043176e-06 relative error = 0.0004130106349777885445685601419155 % h = 0.0001 y1[1] (analytic) = 0.86491425517148171952891072727656 y1[1] (numeric) = 0.86491432804127117527196739244467 absolute error = 7.286978945574305666516811e-08 relative error = 8.4250882697378563182997927985898e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1979.8MB, alloc=4.4MB, time=248.15 NO POLE NO POLE x[1] = 0.1356 y2[1] (analytic) = 1.9908203986605545381053029007851 y2[1] (numeric) = 1.9908121064588235333390376668653 absolute error = 8.2922017310047662652339198e-06 relative error = 0.00041652183876475492879060195336979 % h = 0.0001 y1[1] (analytic) = 0.86481517245585666365068115387588 y1[1] (numeric) = 0.86481524615137070514171632881992 absolute error = 7.369551404149103517494404e-08 relative error = 8.5215334314977833416457270340090e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1983.6MB, alloc=4.4MB, time=248.42 memory used=1987.4MB, alloc=4.4MB, time=248.70 NO POLE NO POLE x[1] = 0.1357 y2[1] (analytic) = 1.9908068752237206654018930299039 y2[1] (numeric) = 1.9907985127806889592910407225265 absolute error = 8.3624430317061108523073774e-06 relative error = 0.00042005295118173457156075533068793 % h = 0.0001 y1[1] (analytic) = 0.86471609109207988208734471480937 y1[1] (numeric) = 0.86471616562032286242400207142659 absolute error = 7.452824298033665735661722e-08 relative error = 8.6188106996149868832590383700910e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1991.3MB, alloc=4.4MB, time=248.97 NO POLE NO POLE x[1] = 0.1358 y2[1] (analytic) = 1.9907933418788180487180004624492 y2[1] (numeric) = 1.9907849087980078109792323684296 absolute error = 8.4330808102377387680940196e-06 relative error = 0.00042360402924991650873464898772436 % h = 0.0001 y1[1] (analytic) = 0.8646170110811421884758435476792 y1[1] (numeric) = 0.86461708644915805223568184960565 absolute error = 7.536801586375983830192645e-08 relative error = 8.7169249387676845787635984435527e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=1995.1MB, alloc=4.4MB, time=249.25 memory used=1998.9MB, alloc=4.4MB, time=249.52 NO POLE NO POLE x[1] = 0.1359 y2[1] (analytic) = 1.9907797986259820215025385873858 y2[1] (numeric) = 1.9907712945097892882950613352173 absolute error = 8.5041161927332074772521685e-06 relative error = 0.00042717512999693238614737409783787 % h = 0.0001 y1[1] (analytic) = 0.86451793242403438292472892184285 y1[1] (numeric) = 0.86451800863890677877430024993566 absolute error = 7.621487239584957132809281e-08 relative error = 8.8158810288815622401568223866154e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2002.7MB, alloc=4.4MB, time=249.79 NO POLE NO POLE x[1] = 0.136 y2[1] (analytic) = 1.990766245465348016283754816428 y2[1] (numeric) = 1.9907576699150426046682752228544 absolute error = 8.5755503054116154795935736e-06 relative error = 0.00043076631045685893669871119643599 % h = 0.0001 y1[1] (analytic) = 0.86441885512174725200425323733583 y1[1] (numeric) = 0.86441893219059964531673588174476 absolute error = 7.706885239331248264440893e-08 relative error = 8.9156838651394158380794574469791e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2006.5MB, alloc=4.4MB, time=250.07 memory used=2010.3MB, alloc=4.4MB, time=250.35 NO POLE NO POLE x[1] = 0.1361 y2[1] (analytic) = 1.9907526823970515646678762587584 y2[1] (numeric) = 1.9907440350127769870768283663217 absolute error = 8.6473842745775910478924367e-06 relative error = 0.00043437762767022045788511586499281 % h = 0.0001 y1[1] (analytic) = 0.86431977917527156873646215917745 y1[1] (numeric) = 0.86431985710526735421784705182932 absolute error = 7.792999578548138489265187e-08 relative error = 9.0163383579907995151889289628287e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2014.1MB, alloc=4.4MB, time=250.62 NO POLE NO POLE x[1] = 0.1362 y2[1] (analytic) = 1.9907391094212282973377544049668 y2[1] (numeric) = 1.9907303898020016760567895658286 absolute error = 8.7196192266212809648391382e-06 relative error = 0.00043800913868399128977863459045425 % h = 0.0001 y1[1] (analytic) = 0.8642207045855980925852868871586 y1[1] (numeric) = 0.8642207833839407069091164483928 absolute error = 7.879834261432382956123420e-08 relative error = 9.1178494331616796345393978968855e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2018.0MB, alloc=4.4MB, time=250.89 memory used=2021.8MB, alloc=4.4MB, time=251.17 NO POLE NO POLE x[1] = 0.1363 y2[1] (analytic) = 1.9907255265380139440515088202224 y2[1] (numeric) = 1.9907167342817259257122496814438 absolute error = 8.7922562880183392591387786e-06 relative error = 0.00044166090055159829345292237675861 % h = 0.0001 y1[1] (analytic) = 0.8641216313537175694466365612107 y1[1] (numeric) = 0.86412171102765060389729483421839 absolute error = 7.967393303445065827300769e-08 relative error = 9.2202220316640948668743787959663e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2025.6MB, alloc=4.4MB, time=251.45 NO POLE NO POLE x[1] = 0.1364 y2[1] (analytic) = 1.9907119337475443336411698466945 y2[1] (numeric) = 1.9907030684509590037252290920465 absolute error = 8.8652965853299159407546480e-06 relative error = 0.00044533297033292332985653367715353 % h = 0.0001 y1[1] (analytic) = 0.86402255948062073163849080245486 y1[1] (numeric) = 0.86402264003742804476304374908891 absolute error = 8.055680731312455294663405e-08 relative error = 9.3234611098058223207404880298883e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2029.4MB, alloc=4.4MB, time=251.73 memory used=2033.2MB, alloc=4.4MB, time=252.01 NO POLE NO POLE x[1] = 0.1365 y2[1] (analytic) = 1.9906983310499553940113203152323 y2[1] (numeric) = 1.9906893923087101913655850184976 absolute error = 8.9387412452026457352967347e-06 relative error = 0.00044902540509430573913365817279732 % h = 0.0001 y1[1] (analytic) = 0.86392348896729829789099239003033 y1[1] (numeric) = 0.86392357041430412815957722146766 absolute error = 8.144700583026858483143733e-08 relative error = 9.4275716392000497193336314027617e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2037.0MB, alloc=4.4MB, time=252.28 NO POLE NO POLE x[1] = 0.1366 y2[1] (analytic) = 1.9906847184453831521377362663213 y2[1] (numeric) = 1.9906757058539887835009187109331 absolute error = 9.0125913943686368175553882e-06 relative error = 0.0004527382619085448203924731763296 % h = 0.0001 y1[1] (analytic) = 0.86382441981474097333654007380135 y1[1] (numeric) = 0.86382450215931005181130248945371 absolute error = 8.234456907847476241565236e-08 relative error = 9.5325586067750536279916352283196e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2040.8MB, alloc=4.4MB, time=252.55 NO POLE NO POLE memory used=2044.7MB, alloc=4.4MB, time=252.83 x[1] = 0.1367 y2[1] (analytic) = 1.9906710959339637340660266803259 y2[1] (numeric) = 1.9906620090858040886064825000797 absolute error = 9.0868481596454595441802462e-06 relative error = 0.00045647159785490231192128419500829 % h = 0.0001 y1[1] (analytic) = 0.86372535202393944949988152304141 y1[1] (numeric) = 0.86372543527347711251245973102529 absolute error = 8.324953766301257820798388e-08 relative error = 9.6384270147838837362500798672869e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2048.5MB, alloc=4.4MB, time=253.10 NO POLE NO POLE x[1] = 0.1368 y2[1] (analytic) = 1.9906574635158333649102722170348 y2[1] (numeric) = 1.9906483020031654287750867124942 absolute error = 9.1615126679361351855045406e-06 relative error = 0.00046022547001910487185262550152422 % h = 0.0001 y1[1] (analytic) = 0.86362628559588440428820641119402 y1[1] (numeric) = 0.86362636975783670612576080358482 absolute error = 8.416195230183755439239080e-08 relative error = 9.7451818808140531983807961319243e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2052.3MB, alloc=4.4MB, time=253.37 NO POLE NO POLE x[1] = 0.1369 y2[1] (analytic) = 1.990643821191128368851662964521 y2[1] (numeric) = 1.9906345846050821397270064496268 absolute error = 9.2365860462291246565148942e-06 relative error = 0.0004639999354933465592754924371111 % h = 0.0001 y1[1] (analytic) = 0.86352722053156650198123963680909 y1[1] (numeric) = 0.86352730561342032758102699281924 absolute error = 8.508185382559978735601015e-08 relative error = 9.8528282377972350363352266100681e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2056.1MB, alloc=4.4MB, time=253.64 memory used=2059.9MB, alloc=4.4MB, time=253.92 NO POLE NO POLE x[1] = 0.137 y2[1] (analytic) = 1.9906301689599851691371351973316 y2[1] (numeric) = 1.9906208568905635708198882306105 absolute error = 9.3120694215983172469667211e-06 relative error = 0.00046779505137629131579587727916481 % h = 0.0001 y1[1] (analytic) = 0.86342815683197639322133468075391 y1[1] (numeric) = 0.86342824284125957087382577088926 absolute error = 8.600928317765249109013535e-08 relative error = 9.9613711340189646090175918830884e-06 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2063.7MB, alloc=4.4MB, time=254.19 NO POLE NO POLE x[1] = 0.1371 y2[1] (analytic) = 1.9906165068225402880780071440189 y2[1] (numeric) = 1.990607118858619085058656498676 absolute error = 9.3879639212030193506453429e-06 relative error = 0.00047161087477307544754578050268647 % h = 0.0001 y1[1] (analytic) = 0.86332909449810471500356709979788 y1[1] (numeric) = 0.86332918144238612906410656396111 absolute error = 8.694428141406053946416323e-08 relative error = 1.0070815633128348151815510321502e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2067.5MB, alloc=4.4MB, time=254.47 memory used=2071.4MB, alloc=4.4MB, time=254.75 NO POLE NO POLE x[1] = 0.1372 y2[1] (analytic) = 1.990602834778930347048613764029 y2[1] (numeric) = 1.9905933705082580591054199910946 absolute error = 9.4642706722879431937729344e-06 relative error = 0.00047544746279531010764086938756874 % h = 0.0001 y1[1] (analytic) = 0.86323003353094209066582815667003 y1[1] (numeric) = 0.86323012141783179427483552909453 absolute error = 8.788688970360900737242450e-08 relative error = 1.0181166814147777390318485328829e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2075.2MB, alloc=4.4MB, time=255.01 NO POLE NO POLE x[1] = 0.1373 y2[1] (analytic) = 1.990589152829292066484940533959 y2[1] (numeric) = 1.9905796118384898832893779725485 absolute error = 9.5409908021831955625614105e-06 relative error = 0.00047930487256108377908695586562353 % h = 0.0001 y1[1] (analytic) = 0.86313097393147912987891858668834 y1[1] (numeric) = 0.86313106276862845769062934050051 absolute error = 8.883714932781171075381217e-08 relative error = 1.0292429771482650232157386726983e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2079.0MB, alloc=4.4MB, time=255.29 memory used=2082.8MB, alloc=4.4MB, time=255.60 NO POLE NO POLE x[1] = 0.1374 y2[1] (analytic) = 1.9905754609737622658832562431987 y2[1] (numeric) = 1.9905658428483239616167263318307 absolute error = 9.6181254383042665299113680e-06 relative error = 0.0004831831611949647581354656440851 % h = 0.0001 y1[1] (analytic) = 0.86303191570070642863664250105997 y1[1] (numeric) = 0.86303200549580810955638798518263 absolute error = 8.979510168091974548412266e-08 relative error = 1.0404609614931097540900818816409e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2086.6MB, alloc=4.4MB, time=255.88 NO POLE NO POLE x[1] = 0.1375 y2[1] (analytic) = 1.9905617592124778637987447989689 y2[1] (numeric) = 1.9905520635367697117805635417749 absolute error = 9.6956757081520181812571940e-06 relative error = 0.00048708238582800363808807058423619 % h = 0.0001 y1[1] (analytic) = 0.86293285883961456924590142695153 y1[1] (numeric) = 0.86293294960040283917592656797546 absolute error = 9.076078826993002514102393e-08 relative error = 1.0517711469693715995946960248201e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2090.4MB, alloc=4.4MB, time=256.15 memory used=2094.3MB, alloc=4.4MB, time=256.43 NO POLE NO POLE x[1] = 0.1376 y2[1] (analytic) = 1.9905480475455758778441360407708 y2[1] (numeric) = 1.990538273902836565170796482316 absolute error = 9.7736427393126733395584548e-06 relative error = 0.0004910026035977357935506564667264 % h = 0.0001 y1[1] (analytic) = 0.86283380334919412031678848442828 y1[1] (numeric) = 0.86283389508344483491060612599391 absolute error = 9.173425071459381764156563e-08 relative error = 1.0631740476383307042352280630697e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2098.1MB, alloc=4.4MB, time=256.70 NO POLE NO POLE x[1] = 0.1377 y2[1] (analytic) = 1.9905343259731934246883355642596 y2[1] (numeric) = 1.990524473945533966884046126583 absolute error = 9.8520276594578042894376766e-06 relative error = 0.00049494387164818386513679818695826 % h = 0.0001 y1[1] (analytic) = 0.86273474923043563675268270036144 y1[1] (numeric) = 0.86273484194596638417796345250703 absolute error = 9.271553074742528075214559e-08 relative error = 1.0746701791034621934541204242649e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2101.9MB, alloc=4.4MB, time=256.98 memory used=2105.7MB, alloc=4.4MB, time=257.26 NO POLE NO POLE x[1] = 0.1378 y2[1] (analytic) = 1.9905205944954677200550535545568 y2[1] (numeric) = 1.9905106636638713757335530899244 absolute error = 9.9308315963443215004646324e-06 relative error = 0.00049890624712986024462091462208903 % h = 0.0001 y1[1] (analytic) = 0.8626356964843296597403434594027 y1[1] (numeric) = 0.86263579018899987345033993025013 absolute error = 9.370467021370999647084743e-08 relative error = 1.0862600585114112877843590811124e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2109.5MB, alloc=4.4MB, time=257.54 NO POLE NO POLE x[1] = 0.1379 y2[1] (analytic) = 1.9905068531125360787214326290143 y2[1] (numeric) = 1.9904968430568582642590830417676 absolute error = 1.00100556778144623495872467e-05 relative error = 0.00050288978719976956054127531299131 % h = 0.0001 y1[1] (analytic) = 0.86253664511186671674000509212484 y1[1] (numeric) = 0.8625367398135777882535093741888 absolute error = 9.470171107151350428206396e-08 relative error = 1.0979442045529690271809638935878e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2113.3MB, alloc=4.4MB, time=257.81 NO POLE NO POLE x[1] = 0.138 y2[1] (analytic) = 1.9904931018245359145166746894438 y2[1] (numeric) = 1.9904830121235041187368319802131 absolute error = 1.00897010317957798427092307e-05 relative error = 0.00050689454902141116425303120225003 % h = 0.0001 y1[1] (analytic) = 0.86243759511403732147547160042766 y1[1] (numeric) = 0.86243769082073271316530488374863 absolute error = 9.570669539168983328332097e-08 relative error = 1.1097231374640486059254560058515e-05 % h = 0.0001 memory used=2117.1MB, alloc=4.4MB, time=258.09 TOP MAIN SOLVE Loop memory used=2121.0MB, alloc=4.4MB, time=258.36 NO POLE NO POLE x[1] = 0.1381 y2[1] (analytic) = 1.9904793406316047403206667838264 y2[1] (numeric) = 1.9904691708628184391893313692641 absolute error = 1.01697687863011313354145623e-05 relative error = 0.00051092058976478161643144179214966 % h = 0.0001 y1[1] (analytic) = 0.86233854649183197392421152030819 y1[1] (numeric) = 0.86233864321149733181424470452437 absolute error = 9.671966535789003318421618e-08 relative error = 1.1215973790266623184988143084167e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2124.8MB, alloc=4.4MB, time=258.63 NO POLE NO POLE x[1] = 0.1382 y2[1] (analytic) = 1.9904655695338801680626059775144 y2[1] (numeric) = 1.9904553192738107393953531385929 absolute error = 1.02502600694286672528389215e-05 relative error = 0.00051496796660637717402547094323636 % h = 0.0001 y1[1] (analytic) = 0.86223949924624116030745292209427 y1[1] (numeric) = 0.86223959698690442687815709948215 absolute error = 9.774066326657070417738788e-08 relative error = 1.1335674525698991168187056514190e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2128.6MB, alloc=4.4MB, time=258.91 memory used=2132.4MB, alloc=4.4MB, time=259.19 NO POLE NO POLE x[1] = 0.1383 y2[1] (analytic) = 1.9904517885314999087196232339406 y2[1] (numeric) = 1.9904414573554905468998145457451 absolute error = 1.03311760093618198086881955e-05 relative error = 0.00051903673672919627766192376245071 % h = 0.0001 y1[1] (analytic) = 0.86214045337825535308027854824049 y1[1] (numeric) = 0.86214055214798688008280422966869 absolute error = 9.876973152700252568142820e-08 relative error = 1.1456338829709027792370539137328e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2136.2MB, alloc=4.4MB, time=259.46 NO POLE NO POLE x[1] = 0.1384 y2[1] (analytic) = 1.9904379976246017723154063048486 y2[1] (numeric) = 1.9904275851068674030236829006822 absolute error = 1.04125177343692917234041664e-05 relative error = 0.0005231269573227420395002970020439 % h = 0.0001 y1[1] (analytic) = 0.86204140888886501092172108878567 y1[1] (numeric) = 0.86204150869577767220050504444114 absolute error = 9.980691266127878395565547e-08 relative error = 1.1577971966558506916942833396630e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2140.0MB, alloc=4.4MB, time=259.73 memory used=2143.8MB, alloc=4.4MB, time=260.02 NO POLE NO POLE x[1] = 0.1385 y2[1] (analytic) = 1.9904241968133236679188216300562 y2[1] (numeric) = 1.9904137025269508628738801525635 absolute error = 1.04942863728050449414774927e-05 relative error = 0.0005272386855830247315385153476487 % h = 0.0001 y1[1] (analytic) = 0.86194236577906057872485859457073 y1[1] (numeric) = 0.86194246663130988304875718123134 absolute error = 1.0085224930432389858666061e-07 relative error = 1.1700579216009332414268532014627e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2147.7MB, alloc=4.4MB, time=260.29 NO POLE NO POLE x[1] = 0.1386 y2[1] (analytic) = 1.9904103860978036036425352467689 y2[1] (numeric) = 1.9903998096147504953531873386686 absolute error = 1.05764830531082893479081003e-05 relative error = 0.00053137197871256427436972624254052 % h = 0.0001 y1[1] (analytic) = 0.8618433240498324875869100283162 y1[1] (numeric) = 0.8618434259556166914888578748583 absolute error = 1.0190578420390194784654210e-07 relative error = 1.1824165873333338236249726113957e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2151.5MB, alloc=4.4MB, time=260.56 memory used=2155.3MB, alloc=4.4MB, time=260.84 NO POLE NO POLE x[1] = 0.1387 y2[1] (analytic) = 1.9903965654781796866416327084534 y2[1] (numeric) = 1.9903859063692758831701488953616 absolute error = 1.06591089038034714838130918e-05 relative error = 0.00053552689392039272639032559107246 % h = 0.0001 y1[1] (analytic) = 0.86174428370217115479933095365828 y1[1] (numeric) = 0.86174438666973137542452387640271 absolute error = 1.0296756022062519292274443e-07 relative error = 1.1948737249322094614376648630941e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2159.1MB, alloc=4.4MB, time=261.11 NO POLE NO POLE x[1] = 0.1388 y2[1] (analytic) = 1.9903827349545901231122380132886 y2[1] (numeric) = 1.9903719927895366228489768309971 absolute error = 1.07421650535002632611822915e-05 relative error = 0.00053970348842205677345938715895483 % h = 0.0001 y1[1] (analytic) = 0.86164524473706698383790936224252 y1[1] (numeric) = 0.86164534877468731180051038165721 absolute error = 1.0403762032796260101941469e-07 relative error = 1.2074298670296720397226246029936e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2162.9MB, alloc=4.4MB, time=261.38 memory used=2166.7MB, alloc=4.4MB, time=261.66 NO POLE NO POLE x[1] = 0.1389 y2[1] (analytic) = 1.9903688945271732182901315422053 y2[1] (numeric) = 1.99035806887454232473945476067 absolute error = 1.08256526308935506767815353e-05 relative error = 0.00054390181943962021900966811872037 % h = 0.0001 y1[1] (analytic) = 0.86154620715551036435286163897421 y1[1] (numeric) = 0.86154631227151797660122896916633 absolute error = 1.0511600761224836733019212e-07 relative error = 1.2200855478117701529385899019373e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2170.5MB, alloc=4.4MB, time=261.94 NO POLE NO POLE x[1] = 0.139 y2[1] (analytic) = 1.9903550441960673764493670065295 y2[1] (numeric) = 1.9903441346233026130268418027095 absolute error = 1.09095727647634225252038200e-05 relative error = 0.00054812194420166647461036349764788 % h = 0.0001 y1[1] (analytic) = 0.86144717095849167215892866552446 y1[1] (numeric) = 0.86144727716125694484936454786981 absolute error = 1.0620276527269043588234535e-07 relative error = 1.2328413030194715675782273746899e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2174.4MB, alloc=4.4MB, time=262.22 NO POLE NO POLE memory used=2178.2MB, alloc=4.4MB, time=262.51 x[1] = 0.1391 y2[1] (analytic) = 1.9903411839614111009008874052429 y2[1] (numeric) = 1.990330190034827125741776336818 absolute error = 1.09939265839751591110684249e-05 relative error = 0.00055236391994330105098178224771071 % h = 0.0001 y1[1] (analytic) = 0.86134813614700126922547206219106 y1[1] (numeric) = 0.86134824344493789060449131436323 absolute error = 1.0729793662137901925217217e-07 relative error = 1.2456976699496462995398071022892e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2182.0MB, alloc=4.4MB, time=262.80 NO POLE NO POLE x[1] = 0.1392 y2[1] (analytic) = 1.9903273138233429939911399918749 y2[1] (numeric) = 1.9903162351081255147701796237566 absolute error = 1.10787152174792209603681183e-05 relative error = 0.00055662780390615404946211768473877 % h = 0.0001 y1[1] (analytic) = 0.86124910272202950366657056821309 y1[1] (numeric) = 0.86124921112359458696168771978974 absolute error = 1.0840156508329511715157665e-07 relative error = 1.2586551874560503068362214200893e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2185.8MB, alloc=4.4MB, time=263.10 NO POLE NO POLE x[1] = 0.1393 y2[1] (analytic) = 1.9903134337820017571006902510391 y2[1] (numeric) = 1.9903022698422074458631592864776 absolute error = 1.11639397943112375309645615e-05 relative error = 0.00056091365333838265392648508669602 % h = 0.0001 y1[1] (analytic) = 0.86115007068456670973111656063842 y1[1] (numeric) = 0.86115018019826090605015044637674 absolute error = 1.0951369419631903388573832e-07 relative error = 1.2717143959503097980401781059411e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2189.6MB, alloc=4.4MB, time=263.40 memory used=2193.4MB, alloc=4.4MB, time=263.69 NO POLE NO POLE x[1] = 0.1394 y2[1] (analytic) = 1.9902995438375261906428348846289 y2[1] (numeric) = 1.9902882942360825986469126526054 absolute error = 1.12496014435919959222320235e-05 relative error = 0.00056522152549467362315839931385218 % h = 0.0001 y1[1] (analytic) = 0.86105104003560320779291271184299 y1[1] (numeric) = 0.86105115066997081903180739363137 absolute error = 1.1063436761123889468178838e-07 relative error = 1.2848758374029061568646794794870e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2197.3MB, alloc=4.4MB, time=263.99 NO POLE NO POLE x[1] = 0.1395 y2[1] (analytic) = 1.9902856439900551940622138076855 y2[1] (numeric) = 1.9902743082887606666326299581658 absolute error = 1.13357012945274295838495197e-05 relative error = 0.00056955147763624578367386536140352 % h = 0.0001 y1[1] (analytic) = 0.8609520107761293043407687858011 y1[1] (numeric) = 0.8609521225397583960999296742087 absolute error = 1.1176362909175916088840760e-07 relative error = 1.2981400553441614832781734919932e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2201.1MB, alloc=4.4MB, time=264.28 memory used=2204.9MB, alloc=4.4MB, time=264.59 NO POLE NO POLE x[1] = 0.1396 y2[1] (analytic) = 1.9902717342397277658334211539531 y2[1] (numeric) = 1.9902603119992513572263974124664 absolute error = 1.14222404764086070237414867e-05 relative error = 0.00057390356703085252299825473757362 % h = 0.0001 y1[1] (analytic) = 0.86085298290713529196859857320552 y1[1] (numeric) = 0.8608530958086578064777426194665 absolute error = 1.1290152251450914404626098e-07 relative error = 1.3115075948652247515540460241839e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2208.7MB, alloc=4.4MB, time=264.88 NO POLE NO POLE x[1] = 0.1397 y2[1] (analytic) = 1.9902578145866830034596152911334 y2[1] (numeric) = 1.9902463053665643917391001240269 absolute error = 1.15092201186117205151671065e-05 relative error = 0.00057827785095278428339614066330418 % h = 0.0001 y1[1] (analytic) = 0.86075395642961144936551696553659 y1[1] (numeric) = 0.86075407047770331841703579472047 absolute error = 1.1404809186905151882918388e-07 relative error = 1.3249790026190585856543980165734e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2212.5MB, alloc=4.4MB, time=265.18 memory used=2216.3MB, alloc=4.4MB, time=265.47 NO POLE NO POLE x[1] = 0.1398 y2[1] (analytic) = 1.9902438850310601034711278458558 y2[1] (numeric) = 1.9902322883897095053963248874626 absolute error = 1.15966413505980748029583932e-05 relative error = 0.00058267438668287105605426512240232 % h = 0.0001 y1[1] (analytic) = 0.86065493134454804130593716817938 y1[1] (numeric) = 0.86065504654792929919677202421377 absolute error = 1.1520338125789083485603439e-07 relative error = 1.3385548268214266523483305493751e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2220.1MB, alloc=4.4MB, time=265.78 NO POLE NO POLE x[1] = 0.1399 y2[1] (analytic) = 1.9902299455729983614240717383751 y2[1] (numeric) = 1.9902182610676964473482628312197 absolute error = 1.16845053019140758089071554e-05 relative error = 0.00058709323150848487571781083886081 % h = 0.0001 y1[1] (analytic) = 0.86055590765293531863966805268778 y1[1] (numeric) = 0.86055602402037021512169542581491 absolute error = 1.1636743489648202737312713e-07 relative error = 1.3522356172518816724652448757498e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2224.0MB, alloc=4.4MB, time=266.11 memory used=2227.8MB, alloc=4.4MB, time=266.41 NO POLE NO POLE x[1] = 0.14 y2[1] (analytic) = 1.9902159962126371718989482270114 y2[1] (numeric) = 1.9902042233995349806796119260657 absolute error = 1.17728131021912193363009457e-05 relative error = 0.00059153444272354231578015121046752 % h = 0.0001 y1[1] (analytic) = 0.86045688535576351828201164829463 y1[1] (numeric) = 0.86045700289606063152093845545775 absolute error = 1.1754029711323892680716312e-07 relative error = 1.3660219252547540506839372410347e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2231.6MB, alloc=4.4MB, time=266.68 NO POLE NO POLE x[1] = 0.1401 y2[1] (analytic) = 1.9902020369501160284992529623462 y2[1] (numeric) = 1.9901901753842348824194793542337 absolute error = 1.18615658811460797736081125e-05 relative error = 0.00059599807762850698382625146161195 % h = 0.0001 y1[1] (analytic) = 0.86035786445402286320386077276701 y1[1] (numeric) = 0.86035798317603521274662796133768 absolute error = 1.1872201234954276718857067e-07 relative error = 1.3799143037401411242585513490784e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2235.4MB, alloc=4.4MB, time=266.95 memory used=2239.2MB, alloc=4.4MB, time=267.24 NO POLE NO POLE x[1] = 0.1402 y2[1] (analytic) = 1.990188067785574523850081051189 y2[1] (numeric) = 1.9901761170208059435512837391232 absolute error = 1.19507647685802987973120658e-05 relative error = 0.00060048419353039201762989414521934 % h = 0.0001 y1[1] (analytic) = 0.86025884494870356242179680270554 y1[1] (numeric) = 0.86025896486132872217249024787779 absolute error = 1.1991262515975069344517225e-07 relative error = 1.3939133071848970310827310922587e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2243.0MB, alloc=4.4MB, time=267.52 NO POLE NO POLE x[1] = 0.1403 y2[1] (analytic) = 1.9901740887191523495967311303268 y2[1] (numeric) = 1.990162048308257969022657235458 absolute error = 1.20404108943805740738948688e-05 relative error = 0.00060499284774276258160490217166186 % h = 0.0001 y1[1] (analytic) = 0.8601598268407958109881875833868 y1[1] (numeric) = 0.86015994795297602219245514947911 absolute error = 1.2111218021120426756609231e-07 relative error = 1.4080194916336231974935961280638e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2246.8MB, alloc=4.4MB, time=267.79 NO POLE NO POLE memory used=2250.7MB, alloc=4.4MB, time=268.06 x[1] = 0.1404 y2[1] (analytic) = 1.9901600997509892964033084500731 y2[1] (numeric) = 1.9901479692456007777553474798011 absolute error = 1.21305053885186479609702720e-05 relative error = 0.00060952409758573836371053283161885 % h = 0.0001 y1[1] (analytic) = 0.86006081013128978998128547824793 y1[1] (numeric) = 0.86006093245201207421925911406877 absolute error = 1.2232072228423797363582084e-07 relative error = 1.4222334146996594462174408532933e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2254.5MB, alloc=4.4MB, time=268.34 NO POLE NO POLE x[1] = 0.1405 y2[1] (analytic) = 1.9901461008812252539513269676275 y2[1] (numeric) = 1.9901338798318442026551194013293 absolute error = 1.22210493810512962075662982e-05 relative error = 0.00061407800038599607281121590574981 % h = 0.0001 y1[1] (analytic) = 0.85996179482117566649532555811233 y1[1] (numeric) = 0.85996191835947193868304729646013 absolute error = 1.2353829627218772173834780e-07 relative error = 1.4365556355660757248593415508015e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2258.3MB, alloc=4.4MB, time=268.61 NO POLE NO POLE x[1] = 0.1406 y2[1] (analytic) = 1.9901320921100002109383104502617 y2[1] (numeric) = 1.9901197800659980906216568927672 absolute error = 1.23120440021203166535574945e-05 relative error = 0.0006186546134767719364908093838909 % h = 0.0001 y1[1] (analytic) = 0.85986278091144359363062393025561 y1[1] (numeric) = 0.85986290567639077502997466153879 absolute error = 1.2476494718139935073128318e-07 relative error = 1.4509867149866644553391326657804e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2262.1MB, alloc=4.4MB, time=268.88 memory used=2265.9MB, alloc=4.4MB, time=269.17 NO POLE NO POLE x[1] = 0.1407 y2[1] (analytic) = 1.9901180734374542550763925883458 y2[1] (numeric) = 1.9901056699470723025584643413822 absolute error = 1.24034903819525179282469636e-05 relative error = 0.00062325399419786419932154616852273 % h = 0.0001 y1[1] (analytic) = 0.85976376840308371048367620741061 y1[1] (numeric) = 0.85976389440380384172080609728853 absolute error = 1.2600072013123712988987792e-07 relative error = 1.4655272152869335046764993277371e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2269.7MB, alloc=4.4MB, time=269.45 NO POLE NO POLE x[1] = 0.1408 y2[1] (analytic) = 1.9901040448637275730909161182278 y2[1] (numeric) = 1.9900915494740767133827680199411 absolute error = 1.24953896508597081480982867e-05 relative error = 0.00062787619989563562158784518024498 % h = 0.0001 y1[1] (analytic) = 0.85966475729708614213725611681077 y1[1] (numeric) = 0.85966488454274649622951553767113 absolute error = 1.2724566035409225942086036e-07 relative error = 1.4801777003650997775282076293225e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2273.5MB, alloc=4.4MB, time=269.72 memory used=2277.4MB, alloc=4.4MB, time=270.00 NO POLE NO POLE x[1] = 0.1409 y2[1] (analytic) = 1.9900900063889604507190309549814 y2[1] (numeric) = 1.9900774186460212120354173375296 absolute error = 1.25877429392386836136174518e-05 relative error = 0.00063252128792301597846516040137214 % h = 0.0001 y1[1] (analytic) = 0.85956574759444099965051424937056 y1[1] (numeric) = 0.85956587609425419504188409537412 absolute error = 1.2849981319539136984600356e-07 relative error = 1.4949387356930834308807830827309e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2281.2MB, alloc=4.4MB, time=270.29 NO POLE NO POLE x[1] = 0.141 y2[1] (analytic) = 1.9900759580132932727082913350357 y2[1] (numeric) = 1.9900632774619157014907859501356 absolute error = 1.26805513775712175053849001e-05 relative error = 0.00063718931563950455965404138151921 % h = 0.0001 y1[1] (analytic) = 0.85946673929613838004907694910232 y1[1] (numeric) = 0.85946686905936249365409720444044 absolute error = 1.2976322411360502025533812e-07 relative error = 1.5098108883175027113022207474969e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2285.0MB, alloc=4.4MB, time=270.56 memory used=2288.8MB, alloc=4.4MB, time=270.84 NO POLE NO POLE x[1] = 0.1411 y2[1] (analytic) = 1.9900618997368665228152519687011 y2[1] (numeric) = 1.9900491259207700987666727308973 absolute error = 1.27738160964240485792378038e-05 relative error = 0.00064188034041117266946957880223994 % h = 0.0001 y1[1] (analytic) = 0.85936773240316836631514534286816 y1[1] (numeric) = 0.85936786343910704657134077279409 absolute error = 1.3103593868025619542992593e-07 relative error = 1.5247947268606694151566013712336e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2292.6MB, alloc=4.4MB, time=271.11 NO POLE NO POLE x[1] = 0.1412 y2[1] (analytic) = 1.9900478315598207838040632026043 y2[1] (numeric) = 1.9900349640215943349342025999166 absolute error = 1.28675382264488698606026877e-05 relative error = 0.00064659441961066612738640869561931 % h = 0.0001 y1[1] (analytic) = 0.85926872691652102737759451056627 y1[1] (numeric) = 0.85926885923452360730639634467572 absolute error = 1.3231800257992880183410945e-07 relative error = 1.5398908215215849721857599848765e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2296.4MB, alloc=4.4MB, time=271.38 memory used=2300.2MB, alloc=4.4MB, time=271.66 NO POLE NO POLE x[1] = 0.1413 y2[1] (analytic) = 1.9900337534822967374450651920485 y2[1] (numeric) = 1.9900207917633983551277272135401 absolute error = 1.29617188983823173379785084e-05 relative error = 0.00065133161061720776903944902515159 % h = 0.0001 y1[1] (analytic) = 0.85916972283718641810207279585035 y1[1] (numeric) = 0.85916985644664802837823527300233 absolute error = 1.3360946161027616247715198e-07 relative error = 1.5550997440769371528624453666209e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2304.1MB, alloc=4.4MB, time=271.93 NO POLE NO POLE x[1] = 0.1414 y2[1] (analytic) = 1.9900196655044351645133810833112 y2[1] (numeric) = 1.9900066091451921185547255130069 absolute error = 1.30563592430459586555703043e-05 relative error = 0.00065609197081659994768054235018817 % h = 0.0001 y1[1] (analytic) = 0.85907072016615457928110125748146 y1[1] (numeric) = 0.85907085507651626131061190166502 absolute error = 1.3491036168202951064418356e-07 relative error = 1.5704220678820973999196814283474e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2307.9MB, alloc=4.4MB, time=272.20 memory used=2311.7MB, alloc=4.4MB, time=272.48 NO POLE NO POLE x[1] = 0.1415 y2[1] (analytic) = 1.9900055676263769447875092058936 y2[1] (numeric) = 1.9899924161659855985057041323659 absolute error = 1.31514603913462818050735277e-05 relative error = 0.00066087555760122703609117824288076 % h = 0.0001 y1[1] (analytic) = 0.85897171890441553762417326141098 y1[1] (numeric) = 0.85897185512516435663065575777893 absolute error = 1.3622074881900648249636795e-07 relative error = 1.5858583678721187844613333970246e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2315.5MB, alloc=4.4MB, time=272.75 NO POLE NO POLE x[1] = 0.1416 y2[1] (analytic) = 1.9899914598482630570479142747374 y2[1] (numeric) = 1.9899782128247887823640976655622 absolute error = 1.32470234742746838166091752e-05 relative error = 0.00066568242837005792895146941590957 % h = 0.0001 y1[1] (analytic) = 0.85887271905295930574785421369398 y1[1] (numeric) = 0.85887285659362846386746275389946 absolute error = 1.3754066915811960854020548e-07 relative error = 1.6014092205627345870591565895617e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2319.3MB, alloc=4.4MB, time=273.02 NO POLE NO POLE x[1] = 0.1417 y2[1] (analytic) = 1.989977342170234579075617602421 y2[1] (numeric) = 1.9899639991206116716161687925948 absolute error = 1.33430496229074594488098262e-05 relative error = 0.00067051264052864854566555524083948 % h = 0.0001 y1[1] (analytic) = 0.85877372061277588216588143433178 y1[1] (numeric) = 0.85877385948294483155068540021876 absolute error = 1.3887016894938480396588698e-07 relative error = 1.6170752040513575042418932868258e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2323.1MB, alloc=4.4MB, time=273.29 memory used=2327.0MB, alloc=4.4MB, time=273.57 NO POLE NO POLE x[1] = 0.1418 y2[1] (analytic) = 1.9899632145924326876507863213504 y2[1] (numeric) = 1.9899497750524642818609082646453 absolute error = 1.34395399684057898780567051e-05 relative error = 0.00067536625148914433364360667157431 % h = 0.0001 y1[1] (analytic) = 0.85867472358485525127926417214287 y1[1] (numeric) = 0.85867486379414980720912202675671 absolute error = 1.4020929455592985785461384e-07 relative error = 1.6328568980180794807822643835719e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2330.8MB, alloc=4.4MB, time=273.84 NO POLE NO POLE x[1] = 0.1419 y2[1] (analytic) = 1.9899490771149986585513216159589 y2[1] (numeric) = 1.9899355406193566428199347480803 absolute error = 1.35364956420157313868678786e-05 relative error = 0.00068024331867028277204060641951807 % h = 0.0001 y1[1] (analytic) = 0.85857572797018738336638376076101 y1[1] (numeric) = 0.85857586952827983736930501556043 absolute error = 1.4155809245400292125479942e-07 relative error = 1.6487548837266721681879877172138e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2334.6MB, alloc=4.4MB, time=274.11 memory used=2338.4MB, alloc=4.4MB, time=274.39 NO POLE NO POLE x[1] = 0.142 y2[1] (analytic) = 1.9899349297380738665514459649294 y2[1] (numeric) = 1.9899212958202987983473945272264 absolute error = 1.36339177750682040514377030e-05 relative error = 0.00068514389949739587595207844614388 % h = 0.0001 y1[1] (analytic) = 0.85847673376976223457309391585971 y1[1] (numeric) = 0.85847687668637146755408804292643 absolute error = 1.4291660923298099412706672e-07 relative error = 1.6647697440255880098032348289652e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2342.2MB, alloc=4.4MB, time=274.66 NO POLE NO POLE x[1] = 0.1421 y2[1] (analytic) = 1.9899207724617997854202893934529 y2[1] (numeric) = 1.9899070406543008064398610658209 absolute error = 1.37318074989789804283276320e-05 relative error = 0.00069006805140241270106694066079173 % h = 0.0001 y1[1] (analytic) = 0.85837774098456974690282117370195 y1[1] (numeric) = 0.85837788526946134228123233165959 absolute error = 1.4428489159537841115795764e-07 relative error = 1.6809020633489619529272264759942e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2346.0MB, alloc=4.4MB, time=274.94 memory used=2349.8MB, alloc=4.4MB, time=275.22 NO POLE NO POLE x[1] = 0.1422 y2[1] (analytic) = 1.9899066052863179879204747355387 y2[1] (numeric) = 1.9898927751203727392462344270376 absolute error = 1.38301659452486742403085011e-05 relative error = 0.00069501583182386184877765503617624 % h = 0.0001 y1[1] (analytic) = 0.85827874961559984820666547111412 y1[1] (numeric) = 0.85827889527858620506199191338301 absolute error = 1.4566298635685532644226889e-07 relative error = 1.6971524277176137883569479581022e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2353.7MB, alloc=4.4MB, time=275.50 NO POLE NO POLE x[1] = 0.1423 y2[1] (analytic) = 1.9898924282117701458067019063893 y2[1] (numeric) = 1.9898784992175246830776405519896 absolute error = 1.39289942454627290613543997e-05 relative error = 0.00069998729820687397174784914609186 % h = 0.0001 y1[1] (analytic) = 0.85817975966384245217350086698331 y1[1] (numeric) = 0.85817990671478289839969790091298 absolute error = 1.4705094044622619703392967e-07 relative error = 1.7135214247400511177612501235806e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2357.5MB, alloc=4.4MB, time=275.77 memory used=2361.3MB, alloc=4.4MB, time=276.05 NO POLE NO POLE x[1] = 0.1424 y2[1] (analytic) = 1.9898782412382980298243311848546 y2[1] (numeric) = 1.9898642129447667384173303966099 absolute error = 1.40282935312914070007882447e-05 relative error = 0.00070498250800318427993758330876842 % h = 0.0001 y1[1] (analytic) = 0.85808077113028745832007640537679 y1[1] (numeric) = 0.85808091957908836378834177071314 absolute error = 1.4844880090546826536533635e-07 relative error = 1.7300096436134729492938875178334e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2365.1MB, alloc=4.4MB, time=276.32 NO POLE NO POLE x[1] = 0.1425 y2[1] (analytic) = 1.9898640443660435097079655059794 y2[1] (numeric) = 1.9898499163011090199305789268105 absolute error = 1.41280649344897773865791689e-05 relative error = 0.00071000151867113504708643753750819 % h = 0.0001 y1[1] (analytic) = 0.85798178401592475198111712038278 y1[1] (numeric) = 0.85798193387253964171115765544209 absolute error = 1.4985661488973004053505931e-07 relative error = 1.7466176751247739218533288552139e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2368.9MB, alloc=4.4MB, time=276.59 memory used=2372.7MB, alloc=4.4MB, time=276.86 NO POLE NO POLE x[1] = 0.1426 y2[1] (analytic) = 1.9898498375951485541800317636587 y2[1] (numeric) = 1.9898356092855616564745839718214 absolute error = 1.42283095868977054477918373e-05 relative error = 0.0007150443876756781176545925335073 % h = 0.0001 y1[1] (analytic) = 0.85788279832174420429942518277147 y1[1] (numeric) = 0.85788294959617387163920364660852 absolute error = 1.5127442966733977846383705e-07 relative error = 1.7633461116515491583974591583942e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2376.5MB, alloc=4.4MB, time=277.14 NO POLE NO POLE x[1] = 0.1427 y2[1] (analytic) = 1.9898356209257552309493611234143 y2[1] (numeric) = 1.9898212918971347911083649356105 absolute error = 1.43290286204398409961878038e-05 relative error = 0.00072011117248837741422207896895186 % h = 0.0001 y1[1] (analytic) = 0.85778381404873567221598118857522 y1[1] (numeric) = 0.85778396675102829202994210734813 absolute error = 1.5270229261981396091877291e-07 relative error = 1.7801955471630997487215805519623e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2380.4MB, alloc=4.4MB, time=277.40 NO POLE NO POLE memory used=2384.2MB, alloc=4.4MB, time=277.68 x[1] = 0.1428 y2[1] (analytic) = 1.989821394358005706709768345308 y2[1] (numeric) = 1.9898069641348385811026613662851 absolute error = 1.44302231671256071069790229e-05 relative error = 0.00072520193058741144534636945737307 % h = 0.0001 y1[1] (analytic) = 0.85768483119788899846004558968699 y1[1] (numeric) = 0.8576849853381402403258189953365 absolute error = 1.5414025124186577340564951e-07 relative error = 1.7971665772214388621084011939061e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2388.0MB, alloc=4.4MB, time=277.95 NO POLE NO POLE x[1] = 0.1429 y2[1] (analytic) = 1.9898071578920422471386301170046 y2[1] (numeric) = 1.9897926259976831979498313833761 absolute error = 1.45318943590491887987336285e-05 relative error = 0.00073031671945757581387848752598801 % h = 0.0001 y1[1] (analytic) = 0.85758584977019401153926026657604 y1[1] (numeric) = 0.85758600535854715295284219585213 absolute error = 1.5558835314141358192927609e-07 relative error = 1.8142597989822984902589880362529e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2391.8MB, alloc=4.4MB, time=278.24 NO POLE NO POLE x[1] = 0.143 y2[1] (analytic) = 1.9897929115280072168954623969991 y2[1] (numeric) = 1.9897782774846788273737499629064 absolute error = 1.46340433283895217124340927e-05 relative error = 0.00073545559659028572573780798835075 % h = 0.0001 y1[1] (analytic) = 0.85748686976664052572975024321969 y1[1] (numeric) = 0.85748702681328656531915886500387 absolute error = 1.5704664603958940862178418e-07 relative error = 1.8314758111961368209139476291751e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2395.6MB, alloc=4.4MB, time=278.51 memory used=2399.4MB, alloc=4.4MB, time=278.78 NO POLE NO POLE x[1] = 0.1431 y2[1] (analytic) = 1.989778655266043079620496768023 y2[1] (numeric) = 1.9897639185948356693397070801438 absolute error = 1.47366712074102807896878792e-05 relative error = 0.00074061861948357849914572324448915 % h = 0.0001 y1[1] (analytic) = 0.85738789118821834106622554435039 y1[1] (numeric) = 0.85738804970339611181363178313692 absolute error = 1.5851517777074740623878653e-07 relative error = 1.8488152142091462425743791770346e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2403.2MB, alloc=4.4MB, time=279.06 NO POLE NO POLE x[1] = 0.1432 y2[1] (analytic) = 1.9897643891062923979332558006428 y2[1] (numeric) = 1.9897495493271639380643057099399 absolute error = 1.48397791284598689500907029e-05 relative error = 0.00074580584564211607431834992836916 % h = 0.0001 y1[1] (analytic) = 0.85728891403591724333208319511679 y1[1] (numeric) = 0.85728907402991352580441471843172 absolute error = 1.5999399628247233152331493e-07 relative error = 1.8662786099642619807324382563371e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2407.1MB, alloc=4.4MB, time=279.33 memory used=2410.9MB, alloc=4.4MB, time=279.61 NO POLE NO POLE x[1] = 0.1433 y2[1] (analytic) = 1.9897501130488978334311274270666 y2[1] (numeric) = 1.9897351696806738620253596845557 absolute error = 1.49433682239714057677425109e-05 relative error = 0.00075101733257718752361845054690242 % h = 0.0001 y1[1] (analytic) = 0.85718993831072700404950936325809 y1[1] (numeric) = 0.85719009979387663963752680070991 absolute error = 1.6148314963558801743745182e-07 relative error = 1.8838666020021713660216273490756e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2414.7MB, alloc=4.4MB, time=279.88 NO POLE NO POLE x[1] = 0.1434 y2[1] (analytic) = 1.9897358270940021466879383251705 y2[1] (numeric) = 1.9897207796543756839717914088753 absolute error = 1.50474396264627161469162952e-05 relative error = 0.00075625313780671156216674455192671 % h = 0.0001 y1[1] (analytic) = 0.85709096401363738046958164389038 y1[1] (numeric) = 0.85709112699632338463542590546165 absolute error = 1.6298268600416584426157127e-07 relative error = 1.9015797954623237346972237467259e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2418.5MB, alloc=4.4MB, time=280.17 memory used=2422.3MB, alloc=4.4MB, time=280.44 NO POLE NO POLE x[1] = 0.1435 y2[1] (analytic) = 1.9897215312417481972525263127625 y2[1] (numeric) = 1.9897063792472796609335294329084 absolute error = 1.51519944685363189968798541e-05 relative error = 0.00076151331885523905891278366679835 % h = 0.0001 y1[1] (analytic) = 0.85699199114563811556237148700414 y1[1] (numeric) = 0.85699215563829179109558104810851 absolute error = 1.6449265367553320956110437e-07 relative error = 1.9194187970839409618575357706511e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2426.1MB, alloc=4.4MB, time=280.71 NO POLE NO POLE x[1] = 0.1436 y2[1] (analytic) = 1.9897072254922789436473117520946 y2[1] (numeric) = 1.989691968458396064231405881483 absolute error = 1.52570338828794159058706116e-05 relative error = 0.00076679793325395554816556594576518 % h = 0.0001 y1[1] (analytic) = 0.85689301970771893800704676777175 y1[1] (numeric) = 0.85689318572081998828904378851632 absolute error = 1.6601310105028199702074457e-07 relative error = 1.9373842152070286278169709919606e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2430.0MB, alloc=4.4MB, time=281.00 memory used=2433.8MB, alloc=4.4MB, time=281.28 NO POLE NO POLE x[1] = 0.1437 y2[1] (analytic) = 1.98969290984573744336686796464 y2[1] (numeric) = 1.9896775472867351794870537410283 absolute error = 1.53625590022638798142236117e-05 relative error = 0.00077210703854068374158406346977004 % h = 0.0001 y1[1] (analytic) = 0.85679404970086956218197449976406 y1[1] (numeric) = 0.85679421724494620445901864577214 absolute error = 1.6754407664227704414600808e-07 relative error = 1.9554766597733878180421822394685e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2437.6MB, alloc=4.4MB, time=281.55 NO POLE NO POLE x[1] = 0.1438 y2[1] (analytic) = 1.9896785843022668528764906561488 y2[1] (numeric) = 1.9896631157313073066328040033507 absolute error = 1.54685709595462436866527981e-05 relative error = 0.00077744069225988604062783830423187 % h = 0.0001 y1[1] (analytic) = 0.85669508112607968815482369117501 y1[1] (numeric) = 0.85669525021170876681943252323971 absolute error = 1.6908562907866460883206470e-07 relative error = 1.9736967423276275570628475558132e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2441.4MB, alloc=4.4MB, time=281.82 memory used=2445.2MB, alloc=4.4MB, time=282.10 NO POLE NO POLE x[1] = 0.1439 y2[1] (analytic) = 1.9896642488620104276107663519958 y2[1] (numeric) = 1.9896486737911227599215826663019 absolute error = 1.55750708876676891836856939e-05 relative error = 0.00078279895196266704946792159397185 % h = 0.0001 y1[1] (analytic) = 0.85659611398433900167266834415311 y1[1] (numeric) = 0.8565962846221461015535031439077 absolute error = 1.7063780709988083479975459e-07 relative error = 1.9920450760181778767689294524939e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2449.0MB, alloc=4.4MB, time=282.37 NO POLE NO POLE x[1] = 0.144 y2[1] (analytic) = 1.9896499035251115219721398428361 y2[1] (numeric) = 1.9896342214651918679368075912414 absolute error = 1.56820599196540353322515947e-05 relative error = 0.00078818187520677608835813065372539 % h = 0.0001 y1[1] (analytic) = 0.85649714827663717415209059733904 y1[1] (numeric) = 0.85649732047729673381230649604504 absolute error = 1.7220065955966021589870600e-07 relative error = 2.0105222755983035195065408686104e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2452.8MB, alloc=4.4MB, time=282.64 NO POLE NO POLE x[1] = 0.1441 y2[1] (analytic) = 1.9896355482917135893294806405819 y2[1] (numeric) = 1.9896197587525249736022852171943 absolute error = 1.57895391886157271954233876e-05 relative error = 0.00079358951955660970746699891104879 % h = 0.0001 y1[1] (analytic) = 0.85639818400396386266928401170799 y1[1] (numeric) = 0.85639835777819928771334328917766 absolute error = 1.7377423542504405927746967e-07 relative error = 2.0291289574271182763848412821892e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2456.7MB, alloc=4.4MB, time=282.90 memory used=2460.5MB, alloc=4.4MB, time=283.18 NO POLE NO POLE x[1] = 0.1442 y2[1] (analytic) = 1.9896211831619601820166484447149 y2[1] (numeric) = 1.9896052856521324341921071316047 absolute error = 1.58975098277478245413131102e-05 relative error = 0.00079902194258321420117049368246315 % h = 0.0001 y1[1] (analytic) = 0.85629922116730870995015699981602 y1[1] (numeric) = 0.85629939652589248633910442040099 absolute error = 1.7535858377638894742058497e-07 relative error = 2.0478657394705999612066671610270e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2464.3MB, alloc=4.4MB, time=283.46 NO POLE NO POLE x[1] = 0.1443 y2[1] (analytic) = 1.9896068081359949513310576189487 y2[1] (numeric) = 1.9895908021630246213405464975868 absolute error = 1.60059729703299905111213619e-05 relative error = 0.0008044792018642881228056967168491 % h = 0.0001 y1[1] (analytic) = 0.85620025976766134436043639854923 y1[1] (numeric) = 0.85620043672141515173563545104256 absolute error = 1.7695375380737519905249333e-07 relative error = 2.0667332413026060204358949690444e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2468.1MB, alloc=4.4MB, time=283.73 memory used=2471.9MB, alloc=4.4MB, time=284.00 NO POLE NO POLE x[1] = 0.1444 y2[1] (analytic) = 1.9895924232139616475322406782564 y2[1] (numeric) = 1.9895763082842119210519543375737 absolute error = 1.61149297497264802863406827e-05 relative error = 0.00080996135498418479988562262951775 % h = 0.0001 y1[1] (analytic) = 0.8561012998060113798957711854747 y1[1] (numeric) = 0.85610147836580620491110009368905 absolute error = 1.7855979482501532890821435e-07 relative error = 2.0857320841058897796148217211717e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2475.7MB, alloc=4.4MB, time=284.28 NO POLE NO POLE x[1] = 0.1445 y2[1] (analytic) = 1.9895780283960041198404107862758 y2[1] (numeric) = 1.9895618040147047337106556732658 absolute error = 1.62243812993861297551130100e-05 relative error = 0.00081546845953391484977535015783441 % h = 0.0001 y1[1] (analytic) = 0.85600234128334841617183633889226 y1[1] (numeric) = 0.85600252146010466583434270959218 absolute error = 1.8017675624966250637069992e-07 relative error = 2.1048628906731173266451362411747e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2479.5MB, alloc=4.4MB, time=284.55 memory used=2483.4MB, alloc=4.4MB, time=284.83 NO POLE NO POLE x[1] = 0.1446 y2[1] (analytic) = 1.989563623682266316435023263109 y2[1] (numeric) = 1.9895472893535134740908455217792 absolute error = 1.63343287528423441777413298e-05 relative error = 0.00082100057311114869582964150950348 % h = 0.0001 y1[1] (analytic) = 0.85590338420066203841443684168603 y1[1] (numeric) = 0.85590356600534965343344981646775 absolute error = 1.8180468761501901297478172e-07 relative error = 2.1241262854078850323463438240980e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2487.2MB, alloc=4.4MB, time=285.10 NO POLE NO POLE x[1] = 0.1447 y2[1] (analytic) = 1.9895492090728922844533361035288 y2[1] (numeric) = 1.9895327642996485713664847478956 absolute error = 1.64447732437130868513556332e-05 relative error = 0.00082655775332021908399222484190172 % h = 0.0001 y1[1] (analytic) = 0.85580442855894181744961182907454 y1[1] (numeric) = 0.85580461200258038559431060670232 absolute error = 1.8344363856814469877762778e-07 relative error = 2.1435228943257377087057999261130e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2491.0MB, alloc=4.4MB, time=285.37 memory used=2494.8MB, alloc=4.4MB, time=285.65 NO POLE NO POLE x[1] = 0.1448 y2[1] (analytic) = 1.9895347845680261699889695056071 y2[1] (numeric) = 1.9895182288521204691211957723143 absolute error = 1.65557159057008677737332928e-05 relative error = 0.00083214005777212359985691514054374 % h = 0.0001 y1[1] (analytic) = 0.85570547435917730969373888035867 y1[1] (numeric) = 0.85570565945283617915917647598179 absolute error = 1.8509365886946543759562312e-07 relative error = 2.1630533450551874052347903123761e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2498.6MB, alloc=4.4MB, time=285.92 NO POLE NO POLE x[1] = 0.1449 y2[1] (analytic) = 1.9895203501678122180904644097807 y2[1] (numeric) = 1.989503683009939625358158135808 absolute error = 1.66671578725927323062739727e-05 relative error = 0.00083774754408452718619074876328015 % h = 0.0001 y1[1] (analytic) = 0.85560652160235805714363845476603 y1[1] (numeric) = 0.85560670835715644992521956235643 absolute error = 1.8675479839278158110759040e-07 relative error = 2.1827182668387328438453954616376e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2502.4MB, alloc=4.4MB, time=286.19 memory used=2506.2MB, alloc=4.4MB, time=286.47 NO POLE NO POLE x[1] = 0.145 y2[1] (analytic) = 1.989505905872394772759840048366 y2[1] (numeric) = 1.9894891267721165125100039191824 absolute error = 1.67791002782602498361291836e-05 relative error = 0.00084338026988176466091930685002001 % h = 0.0001 y1[1] (analytic) = 0.85550757028947358736667847149108 y1[1] (numeric) = 0.85550775871658071264309029575666 absolute error = 1.8842710712527641182426558e-07 relative error = 2.2025182905338794926631561168172e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2510.1MB, alloc=4.4MB, time=286.75 NO POLE NO POLE x[1] = 0.1451 y2[1] (analytic) = 1.9894914516819182769511505055409 y2[1] (numeric) = 1.9894745601376616174487130189419 absolute error = 1.68915442566595024374865990e-05 relative error = 0.00084903829279484323557440306773726 % h = 0.0001 y1[1] (analytic) = 0.85540862042151341349087903402967 y1[1] (numeric) = 0.85540881053214858101547395797406 absolute error = 1.9011063516752459492394439e-07 relative error = 2.2224540486141602791908563933225e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2513.9MB, alloc=4.4MB, time=287.03 NO POLE NO POLE memory used=2517.7MB, alloc=4.4MB, time=287.31 x[1] = 0.1452 y2[1] (analytic) = 1.989476987596527272569040287805 y2[1] (numeric) = 1.9894599831055854414955082785615 absolute error = 1.70044909418310735320092435e-05 relative error = 0.00085472167046144503420431095301511 % h = 0.0001 y1[1] (analytic) = 0.85530967199946703419501729890705 y1[1] (numeric) = 0.85530986380489976769564625312205 absolute error = 1.9180543273350062895421500e-07 relative error = 2.2425261751701569432390264615824e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2521.5MB, alloc=4.4MB, time=287.58 NO POLE NO POLE x[1] = 0.1453 y2[1] (analytic) = 1.9894625136163664004672989049346 y2[1] (numeric) = 1.9894453956748985004307504752662 absolute error = 1.71179414679000365484296684e-05 relative error = 0.0008604304605259296127467063693106 % h = 0.0001 y1[1] (analytic) = 0.85521072502432393369873248889841 y1[1] (numeric) = 0.85521091853587408428602788859063 absolute error = 1.9351155015058729539969222e-07 relative error = 2.2627353059105220300390567320459e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2525.3MB, alloc=4.4MB, time=287.86 NO POLE NO POLE x[1] = 0.1454 y2[1] (analytic) = 1.9894480297415804004474144614458 y2[1] (numeric) = 1.9894307978446113245038331622193 absolute error = 1.72318969690759435812992265e-05 relative error = 0.00086616472063933647886450047409651 % h = 0.0001 y1[1] (analytic) = 0.85511177949707358175263105084066 y1[1] (numeric) = 0.85511197472611144133673816650969 absolute error = 1.9522903785958410711566903e-07 relative error = 2.2830820781630015239551117996421e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2529.1MB, alloc=4.4MB, time=288.14 memory used=2532.9MB, alloc=4.4MB, time=288.41 NO POLE NO POLE x[1] = 0.1455 y2[1] (analytic) = 1.9894335359723141112571262585808 y2[1] (numeric) = 1.9894161896137344584430773660202 absolute error = 1.73463585796528140488925606e-05 relative error = 0.00087192450845938761224473876558574 % h = 0.0001 y1[1] (analytic) = 0.85501283541870543362839195813468 y1[1] (numeric) = 0.85501303237665184834414758573535 absolute error = 1.9695794641471575562760067e-07 relative error = 2.3035671308754581232113167954747e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2536.8MB, alloc=4.4MB, time=288.69 NO POLE NO POLE x[1] = 0.1456 y2[1] (analytic) = 1.9894190323087124705889764068321 y2[1] (numeric) = 1.9894015709812784614656261394128 absolute error = 1.74613274340091233502674193e-05 relative error = 0.00087770988165048998536074177738815 % h = 0.0001 y1[1] (analytic) = 0.85491389279020893010887215803674 y1[1] (numeric) = 0.85491409148853541374942945437376 absolute error = 1.9869832648364055729633702e-07 relative error = 2.3241911046168951560509859132870e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2540.6MB, alloc=4.4MB, time=288.97 memory used=2544.4MB, alloc=4.4MB, time=289.25 NO POLE NO POLE x[1] = 0.1457 y2[1] (analytic) = 1.9894045187509205150788604490178 y2[1] (numeric) = 1.9893869419462539072873389691061 absolute error = 1.75768046666077915214799117e-05 relative error = 0.00088352089788373808469766293281837 % h = 0.0001 y1[1] (analytic) = 0.85481495161257349747821216383817 y1[1] (numeric) = 0.85481515206280234493711051285689 absolute error = 2.0045022884745889834901872e-07 relative error = 2.3449546415784811387449510995262e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2548.2MB, alloc=4.4MB, time=289.52 NO POLE NO POLE x[1] = 0.1458 y2[1] (analytic) = 1.9893899952990833803045769939243 y2[1] (numeric) = 1.989372302507671384132686038607 absolute error = 1.76927914119961718909553173e-05 relative error = 0.00088935761483691643244163935073831 % h = 0.0001 y1[1] (analytic) = 0.85471601188678854751194179203221 y1[1] (numeric) = 0.85471621410049294823362056758478 absolute error = 2.0221370440072167877555257e-07 relative error = 2.3658583855745749758663416630479e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2552.0MB, alloc=4.4MB, time=289.80 memory used=2555.8MB, alloc=4.4MB, time=290.07 NO POLE NO POLE x[1] = 0.1459 y2[1] (analytic) = 1.989375461953346300784376360529 y2[1] (numeric) = 1.9893576526645414947446423459676 absolute error = 1.78092888048060397340145614e-05 relative error = 0.00089522009019450210863271113716306 % h = 0.0001 y1[1] (analytic) = 0.85461707361384347746708604456697 y1[1] (numeric) = 0.85461727760264762890584113514879 absolute error = 2.0398880415143875509058182e-07 relative error = 2.3869029820437518032494583153740e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2559.7MB, alloc=4.4MB, time=290.35 NO POLE NO POLE x[1] = 0.146 y2[1] (analytic) = 1.9893609187138546099755082328197 y2[1] (numeric) = 1.9893429924158748563945816763472 absolute error = 1.79262979797535809265564725e-05 relative error = 0.00090110838164766727378168505246183 % h = 0.0001 y1[1] (analytic) = 0.85451813679472767007227113628341 y1[1] (numeric) = 0.85451834257030689115965309715026 absolute error = 2.0577557922108738196086685e-07 relative error = 2.4080890780498294740506760224549e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2563.5MB, alloc=4.4MB, time=290.62 memory used=2567.3MB, alloc=4.4MB, time=290.90 NO POLE NO POLE x[1] = 0.1461 y2[1] (analytic) = 1.9893463655807537402727683252224 y2[1] (numeric) = 1.9893283217606821008921704292903 absolute error = 1.80438200716393805978959321e-05 relative error = 0.0009070225468942816919511181813382 % h = 0.0001 y1[1] (analytic) = 0.85441920143043049351783066763732 y1[1] (numeric) = 0.85441940900451133813848336562926 absolute error = 2.0757408084462065269799194e-07 relative error = 2.4294173222828956883296047667324e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2571.1MB, alloc=4.4MB, time=291.17 NO POLE NO POLE x[1] = 0.1462 y2[1] (analytic) = 1.9893318025541892230070440586556 y2[1] (numeric) = 1.9893136406979738745952613006215 absolute error = 1.81618562153484117827580341e-05 relative error = 0.00091296264363891525430059761857873 % h = 0.0001 y1[1] (analytic) = 0.85432026752194130144591194280423 y1[1] (numeric) = 0.85432047690630167192185055911785 absolute error = 2.0938436037047593861631362e-07 relative error = 2.4508883650603357665690274605645e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2574.9MB, alloc=4.4MB, time=291.44 memory used=2578.7MB, alloc=4.4MB, time=291.72 NO POLE NO POLE x[1] = 0.1463 y2[1] (analytic) = 1.9893172296343066884438592472218 y2[1] (numeric) = 1.989298949226760838419786818859 absolute error = 1.82804075458500240724283628e-05 relative error = 0.00091892872959284050309649181538408 % h = 0.0001 y1[1] (analytic) = 0.8542213350702494329405824332662 y1[1] (numeric) = 0.85422154627671869352390968933238 absolute error = 2.1120646926058332725606618e-07 relative error = 2.4725028583278610675524281250665e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2582.5MB, alloc=4.4MB, time=291.99 NO POLE NO POLE x[1] = 0.1464 y2[1] (analytic) = 1.9893026468212518657819177955538 y2[1] (numeric) = 1.9892842473460536678496527360469 absolute error = 1.83994751981979322650595069e-05 relative error = 0.00092492086247403515618634969736977 % h = 0.0001 y1[1] (analytic) = 0.85412240407634421251793638697937 y1[1] (numeric) = 0.8541226171168033028919958585195 absolute error = 2.1304045909037405947154013e-07 relative error = 2.4942614556605380510182189489462e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2586.4MB, alloc=4.4MB, time=292.26 NO POLE NO POLE memory used=2590.2MB, alloc=4.4MB, time=292.53 x[1] = 0.1465 y2[1] (analytic) = 1.989288054115170583151646406829 y2[1] (numeric) = 1.9892695350548630529466312729079 absolute error = 1.85190603075302050151339211e-05 relative error = 0.00093093910000718463193812341782571 % h = 0.0001 y1[1] (analytic) = 0.85402347454121495011620158322126 y1[1] (numeric) = 0.85402368942759649890516696747032 absolute error = 2.1488638154878896538424906e-07 relative error = 2.5161648122638179855100641265657e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2594.0MB, alloc=4.4MB, time=292.82 NO POLE NO POLE x[1] = 0.1466 y2[1] (analytic) = 1.9892734515162087676137363014662 y2[1] (numeric) = 1.9892548123521996983602542182174 absolute error = 1.86391640090692534820832488e-05 relative error = 0.00093698349992368457464439074939822 % h = 0.0001 y1[1] (analytic) = 0.85392454646585094108584623321674 y1[1] (numeric) = 0.85392476321013937937274543421736 absolute error = 2.1674428843828689920100062e-07 relative error = 2.5382135849745673018429950203106e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2597.8MB, alloc=4.4MB, time=293.09 NO POLE NO POLE x[1] = 0.1467 y2[1] (analytic) = 1.9892588390245124451576839465197 y2[1] (numeric) = 1.9892400792370743233377058822998 absolute error = 1.87597874381218199780642199e-05 relative error = 0.00094305411996164338039175318658032 % h = 0.0001 y1[1] (analytic) = 0.85382561985124146617968602664162 y1[1] (numeric) = 0.85382583846547314103285892342886 absolute error = 2.1861423167485317289678724e-07 relative error = 2.5604084322620985926053037300831e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2601.6MB, alloc=4.4MB, time=293.36 memory used=2605.4MB, alloc=4.4MB, time=293.64 NO POLE NO POLE x[1] = 0.1468 y2[1] (analytic) = 1.9892442166402277407003307957861 y2[1] (numeric) = 1.9892253357084976617337159045485 absolute error = 1.88809317300789666148912376e-05 relative error = 0.00094915101786588472339558587047651 % h = 0.0001 y1[1] (analytic) = 0.85372669469837579154299132410269 y1[1] (numeric) = 0.85372691519463907955098008651504 absolute error = 2.2049626328800798876241235e-07 relative error = 2.5827500142292022581164977226732e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2609.2MB, alloc=4.4MB, time=293.93 NO POLE NO POLE x[1] = 0.1469 y2[1] (analytic) = 1.9892295843635008780844020406365 y2[1] (numeric) = 1.9892105817654804620204519148704 absolute error = 1.90025980204160639501257661e-05 relative error = 0.0009552742513879500828003153908942 % h = 0.0001 y1[1] (analytic) = 0.8536277710082431687035944956933 y1[1] (numeric) = 0.85362799339867858951846531246087 absolute error = 2.2239043542081487081676757e-07 relative error = 2.6052389926131787992618889304803e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2613.1MB, alloc=4.4MB, time=294.20 memory used=2616.9MB, alloc=4.4MB, time=294.47 NO POLE NO POLE x[1] = 0.147 y2[1] (analytic) = 1.9892149421944781800770443715908 y2[1] (numeric) = 1.9891958174070334872974120489559 absolute error = 1.91247874446927796323226349e-05 relative error = 0.00096142387828610126994540175598097 % h = 0.0001 y1[1] (analytic) = 0.85352884878183283456199740572324 y1[1] (numeric) = 0.85352907307863316445109248940007 absolute error = 2.2429680032988909508367683e-07 relative error = 2.6278760307868717576246908433460e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2620.7MB, alloc=4.4MB, time=294.75 NO POLE NO POLE x[1] = 0.1471 y2[1] (analytic) = 1.9892002901333060683683627506476 y2[1] (numeric) = 1.9891810426321675153013173172758 absolute error = 1.92475011385530670454333718e-05 relative error = 0.00096759995632532295609720068282016 % h = 0.0001 y1[1] (analytic) = 0.85342992802013401138147904372201 y1[1] (numeric) = 0.85343015423554439678759777694485 absolute error = 2.2621541038540611873322284e-07 relative error = 2.6506617937597013033367853913461e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2624.5MB, alloc=4.4MB, time=295.02 memory used=2628.3MB, alloc=4.4MB, time=295.30 NO POLE NO POLE x[1] = 0.1472 y2[1] (analytic) = 1.9891856281801310635699561943838 y2[1] (numeric) = 1.9891662574398933384160038277057 absolute error = 1.93707402377251539523666781e-05 relative error = 0.00097380254327732520064688247695462 % h = 0.0001 y1[1] (analytic) = 0.85333100872413590677820330181425 y1[1] (numeric) = 0.85333123687045397788821138928608 absolute error = 2.2814631807111000808747183e-07 relative error = 2.6735969481786984710696220943585e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2632.1MB, alloc=4.4MB, time=295.57 NO POLE NO POLE x[1] = 0.1473 y2[1] (analytic) = 1.9891709563350997852134525678404 y2[1] (numeric) = 1.9891514618292217636823148616794 absolute error = 1.94945058780215311377061610e-05 relative error = 0.0009800316969205459797745838884158 % h = 0.0001 y1[1] (analytic) = 0.85323209089482771371132689856633 y1[1] (numeric) = 0.85323232098440369803319238907852 absolute error = 2.3008957598432186549051219e-07 relative error = 2.6966821623295400445870036025149e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2635.9MB, alloc=4.4MB, time=295.86 memory used=2639.8MB, alloc=4.4MB, time=296.14 NO POLE NO POLE x[1] = 0.1474 y2[1] (analytic) = 1.9891562745983589517490423892074 y2[1] (numeric) = 1.9891366557991636128079928037723 absolute error = 1.96187991953389410495854351e-05 relative error = 0.00098628747504015371557996922021493 % h = 0.0001 y1[1] (analytic) = 0.85313317453319861047310744940307 y1[1] (numeric) = 0.85313340657843544642136249212576 absolute error = 2.3204523683594825504272269e-07 relative error = 2.7199181061375840902818076050148e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2643.6MB, alloc=4.4MB, time=296.41 NO POLE NO POLE x[1] = 0.1475 y2[1] (analytic) = 1.9891415829700553805440116453226 y2[1] (numeric) = 1.9891218393487297221775709246158 absolute error = 1.97436213256583664407207068e-05 relative error = 0.00099256993542804980567937710500429 % h = 0.0001 y1[1] (analytic) = 0.85303425964023776067901168369335 y1[1] (numeric) = 0.85303449365359121116863888287956 absolute error = 2.3401335345048962719918621e-07 relative error = 2.7433054511689061401189935068207e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2647.4MB, alloc=4.4MB, time=296.68 NO POLE NO POLE memory used=2651.2MB, alloc=4.4MB, time=296.97 x[1] = 0.1476 y2[1] (analytic) = 1.9891268814503359878812736180005 y2[1] (numeric) = 1.9891070124769309428622650170435 absolute error = 1.98689734050450190086009570e-05 relative error = 0.00099887913588287115326972949030984 % h = 0.0001 y1[1] (analytic) = 0.85293534621693431325782380860373 y1[1] (numeric) = 0.85293558221091307930656604076818 absolute error = 2.3599397876604874223216445e-07 relative error = 2.7668448706313360244075325973314e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2655.0MB, alloc=4.4MB, time=297.24 NO POLE NO POLE x[1] = 0.1477 y2[1] (analytic) = 1.9891121700393477889578997212043 y2[1] (numeric) = 1.9890921751827781406298648853711 absolute error = 1.99948565696483280348358332e-05 relative error = 0.0010052151342099926976593792008426 % h = 0.0001 y1[1] (analytic) = 0.85283643426427740244175401981884 y1[1] (numeric) = 0.85283667225144323678084657736849 absolute error = 2.3798716583433909255754965e-07 relative error = 2.7905370393754953548242029380355e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2658.8MB, alloc=4.4MB, time=297.51 NO POLE NO POLE x[1] = 0.1478 y2[1] (analytic) = 1.9890974487372378978836493490761 y2[1] (numeric) = 1.98907732746528219595462568771 absolute error = 2.01212719557019290236613661e-05 relative error = 0.0010115779882215299452660726917779 % h = 0.0001 y1[1] (analytic) = 0.85273752378325614775654715922751 y1[1] (numeric) = 0.85273776377622396844987108443648 absolute error = 2.3999296782069332392520897e-07 relative error = 2.8143826338958356581124819066142e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2662.7MB, alloc=4.4MB, time=297.79 memory used=2666.5MB, alloc=4.4MB, time=298.07 NO POLE NO POLE x[1] = 0.1479 y2[1] (analytic) = 1.9890827175441535276794987348408 y2[1] (numeric) = 1.9890624693234540040271591312165 absolute error = 2.02482206995236523396036243e-05 relative error = 0.001017967755736341501082204575798 % h = 0.0001 y1[1] (analytic) = 0.85263861477485965401159151967357 y1[1] (numeric) = 0.8526388567862976580832469928109 absolute error = 2.4201143800407165547313733e-07 relative error = 2.8383823323316771608800674810095e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2670.3MB, alloc=4.4MB, time=298.34 NO POLE NO POLE x[1] = 0.148 y2[1] (analytic) = 1.9890679764602419902761688205978 y2[1] (numeric) = 1.9890476007563044747643245201777 absolute error = 2.03757039375155118443004201e-05 relative error = 0.0010243844945800316006075405208608 % h = 0.0001 y1[1] (analytic) = 0.85253970724007701129002779687021 y1[1] (numeric) = 0.8525399512827067883603264422047 absolute error = 2.4404262977707029864533449e-07 relative error = 2.8625368144682482259188557252211e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2674.1MB, alloc=4.4MB, time=298.62 memory used=2677.9MB, alloc=4.4MB, time=298.91 NO POLE NO POLE x[1] = 0.1481 y2[1] (analytic) = 1.9890532254856506965126521380143 y2[1] (numeric) = 1.9890327217628445328191196568344 absolute error = 2.05037228061636935324811799e-05 relative error = 0.0010308282625849526422495851851449 % h = 0.0001 y1[1] (analytic) = 0.85244080117989729493885818857684 y1[1] (numeric) = 0.85244104726649394086873316189908 absolute error = 2.4608659664592987497332224e-07 relative error = 2.8868467617377254404714998315997e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2681.7MB, alloc=4.4MB, time=299.19 NO POLE NO POLE x[1] = 0.1482 y2[1] (analytic) = 1.9890384646205271561347386999374 y2[1] (numeric) = 1.9890178323420851175905715948431 absolute error = 2.06322784420385441671050943e-05 relative error = 0.0010372991175902077201917719804285 % h = 0.0001 y1[1] (analytic) = 0.85234189659530956555905564113724 y1[1] (numeric) = 0.85234214473870179610288836235476 absolute error = 2.4814339223054383272121752e-07 relative error = 2.9113128572202743568689725507607e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2685.5MB, alloc=4.4MB, time=299.46 memory used=2689.4MB, alloc=4.4MB, time=299.75 NO POLE NO POLE x[1] = 0.1483 y2[1] (analytic) = 1.9890236938650189777935409029368 y2[1] (numeric) = 1.9890029324930371832336272452772 absolute error = 2.07613719817945599136576596e-05 relative error = 0.0010437971174416531577296513286201 % h = 0.0001 y1[1] (analytic) = 0.85224299348730286899567324347816 y1[1] (numeric) = 0.85224324370037313346253563775534 absolute error = 2.5021307026446686239427718e-07 relative error = 2.9359357856450908859638498369118e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2693.2MB, alloc=4.4MB, time=300.02 NO POLE NO POLE x[1] = 0.1484 y2[1] (analytic) = 1.9890089132192738690440174407954 y2[1] (numeric) = 1.9889880222147116986690438350696 absolute error = 2.08910045621703749736057258e-05 relative error = 0.0010503223199919010410752542914934 % h = 0.0001 y1[1] (analytic) = 0.85214409185686623632795376866698 y1[1] (numeric) = 0.85214434415255083125126487949737 absolute error = 2.5229568459492331111083039e-07 relative error = 2.9607162333914433437843345682603e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2697.0MB, alloc=4.4MB, time=300.29 memory used=2700.8MB, alloc=4.4MB, time=300.56 NO POLE NO POLE x[1] = 0.1485 y2[1] (analytic) = 1.9889941226834396363434962289604 y2[1] (numeric) = 1.9889731015061196475932792177967 absolute error = 2.10211773199887502170111637e-05 relative error = 0.0010568747831003217536298083724242 % h = 0.0001 y1[1] (analytic) = 0.85204519170498868385943936312752 y1[1] (numeric) = 0.85204544609627786667503520064204 absolute error = 2.5439128918281559583751452e-07 relative error = 2.9856548884897151518343347121608e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2704.6MB, alloc=4.4MB, time=300.84 NO POLE NO POLE x[1] = 0.1486 y2[1] (analytic) = 1.988979322257664185050196339972 y2[1] (numeric) = 1.9889581703662720284883820367057 absolute error = 2.11518913921565618143032663e-05 relative error = 0.0010634545646330465107249824640841 % h = 0.0001 y1[1] (analytic) = 0.85194629303265921310808138361289 y1[1] (numeric) = 0.8519465495325973158406968713431 absolute error = 2.5649993810273261548773021e-07 relative error = 3.0107524406224481914652070942635e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2708.4MB, alloc=4.4MB, time=301.11 memory used=2712.2MB, alloc=4.4MB, time=301.39 NO POLE NO POLE x[1] = 0.1487 y2[1] (analytic) = 1.9889645119420955194217489498816 y2[1] (numeric) = 1.9889432287941798546318817398856 absolute error = 2.12831479156647898672099960e-05 relative error = 0.001070061722462969894832837774494 % h = 0.0001 y1[1] (analytic) = 0.85184739584086681079635038203421 y1[1] (numeric) = 0.8518476544625523537545122652659 absolute error = 2.5862168554295816188323169e-07 relative error = 3.0360095811253868127450801102259e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2716.1MB, alloc=4.4MB, time=301.66 NO POLE NO POLE x[1] = 0.1488 y2[1] (analytic) = 1.9889496917368817426137172956774 y2[1] (numeric) = 1.9889282767888541541066784474841 absolute error = 2.14149480275885070388481933e-05 relative error = 0.0010766963144697523912446618194772 % h = 0.0001 y1[1] (analytic) = 0.85174850013060044884134623824411 y1[1] (numeric) = 0.85174876088718625432067581701233 absolute error = 2.6075658580547932957876822e-07 relative error = 3.0614270029885224982519649054232e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2719.9MB, alloc=4.4MB, time=301.93 NO POLE NO POLE memory used=2723.7MB, alloc=4.4MB, time=302.20 x[1] = 0.1489 y2[1] (analytic) = 1.9889348616421710566781156437297 y2[1] (numeric) = 1.9889133143493059698109326708699 absolute error = 2.15472928650868671829728598e-05 relative error = 0.0010833583985398229242188624682594 % h = 0.0001 y1[1] (analytic) = 0.85164960590284908434490844087403 y1[1] (numeric) = 0.85164986880754239033983299056642 absolute error = 2.6290469330599492454969239e-07 relative error = 3.0870054008571391822171616632117e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2727.5MB, alloc=4.4MB, time=302.48 NO POLE NO POLE x[1] = 0.149 y2[1] (analytic) = 1.9889200216581117625619272692718 y2[1] (numeric) = 1.9888983414745463594679548836432 absolute error = 2.16801835654030939723856286e-05 relative error = 0.0010900480325663813935980990885606 % h = 0.0001 y1[1] (analytic) = 0.85155071315860165958372651632402 y1[1] (numeric) = 0.85155097822466423350759825877541 absolute error = 2.6506606257392387174245139e-07 relative error = 3.1127454710328592254457708537219e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2731.3MB, alloc=4.4MB, time=302.75 NO POLE NO POLE x[1] = 0.1491 y2[1] (analytic) = 1.9889051717848522601056214469319 y2[1] (numeric) = 1.9888833581635863956360949443942 absolute error = 2.18136212658644695265025377e-05 relative error = 0.0010967652744494012118958280077622 % h = 0.0001 y1[1] (analytic) = 0.85145182189884710199945060600412 y1[1] (numeric) = 0.85145208913959535441307209388118 absolute error = 2.6724074825241362148787706e-07 relative error = 3.1386479114746900464414148686466e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2735.1MB, alloc=4.4MB, time=303.02 memory used=2738.9MB, alloc=4.4MB, time=303.30 NO POLE NO POLE x[1] = 0.1492 y2[1] (analytic) = 1.9888903120225410480416694523293 y2[1] (numeric) = 1.9888683644154371657186313711114 absolute error = 2.19476071038823230380812179e-05 relative error = 0.0011035101820956318418524393451491 % h = 0.0001 y1[1] (analytic) = 0.85135293212457432418880219192608 y1[1] (numeric) = 0.85135320155337942253735696911678 absolute error = 2.6942880509834855477719070e-07 relative error = 3.1647134218000714091625767845457e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2742.8MB, alloc=4.4MB, time=303.57 NO POLE NO POLE x[1] = 0.1493 y2[1] (analytic) = 1.988875442371326723993059574751 y2[1] (numeric) = 1.9888533602291097719736604671406 absolute error = 2.20821422169520193991076104e-05 relative error = 0.0011102828134186013344611625008361 % h = 0.0001 y1[1] (analytic) = 0.85125404383677222389368497074437 y1[1] (numeric) = 0.85125431546706020625207237138296 absolute error = 2.7163028798235838740063859e-07 relative error = 3.1909427032859233678382621936672e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2746.6MB, alloc=4.4MB, time=303.84 memory used=2750.4MB, alloc=4.4MB, time=304.11 NO POLE NO POLE x[1] = 0.1494 y2[1] (analytic) = 1.9888605628313579844718111409228 y2[1] (numeric) = 1.9888383456036153315239852985955 absolute error = 2.22172277426529478258423273e-05 relative error = 0.0011170832263386188674639175310251 % h = 0.0001 y1[1] (analytic) = 0.85115515703642968399129587634543 y1[1] (numeric) = 0.85115543088168157281786882501952 absolute error = 2.7384525188882657294867409e-07 relative error = 3.2173364588696948692709888769579e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2754.2MB, alloc=4.4MB, time=304.38 NO POLE NO POLE x[1] = 0.1495 y2[1] (analytic) = 1.9888456734027836248774875498911 y2[1] (numeric) = 1.9888233205379649763670045231218 absolute error = 2.23528648186485104830267693e-05 relative error = 0.0011239114787827772843172897391653 % h = 0.0001 y1[1] (analytic) = 0.85105627172453557248423625108391 y1[1] (numeric) = 0.85105654779828748838294092668636 absolute error = 2.7607375191589870467560245e-07 relative error = 3.2438953931504130130554121508402e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2758.0MB, alloc=4.4MB, time=304.67 memory used=2761.8MB, alloc=4.4MB, time=304.95 NO POLE NO POLE x[1] = 0.1496 y2[1] (analytic) = 1.9888307740857525394957083190275 y2[1] (numeric) = 1.9888082850311698533846010699146 absolute error = 2.24890545826861111072491129e-05 relative error = 0.0011307676286849556336288047566624 % h = 0.0001 y1[1] (analytic) = 0.85095738790207874249062316576489 y1[1] (numeric) = 0.85095766621792201798153939136908 absolute error = 2.7831584327549091622560419e-07 relative error = 3.2706202123897329701411907785246e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2765.6MB, alloc=4.4MB, time=305.22 NO POLE NO POLE x[1] = 0.1497 y2[1] (analytic) = 1.9888158648804137214966601411747 y2[1] (numeric) = 1.9887932390822411243530306708915 absolute error = 2.26257981725971436294702832e-05 relative error = 0.0011376517339858217090636816224992 % h = 0.0001 y1[1] (analytic) = 0.85085850557004803223420088847096 y1[1] (numeric) = 0.85085878614162932553248210952403 absolute error = 2.8057158129329828122105307e-07 relative error = 3.2975116245129885601690006737758e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2769.5MB, alloc=4.4MB, time=305.49 memory used=2773.3MB, alloc=4.4MB, time=305.77 NO POLE NO POLE x[1] = 0.1498 y2[1] (analytic) = 1.9888009457869162629336069529454 y2[1] (numeric) = 1.9887781826901899659528102429218 absolute error = 2.27630967262969807967100236e-05 relative error = 0.0011445638526328345897222411744598 % h = 0.0001 y1[1] (analytic) = 0.85075962472943226503445250233304 y1[1] (numeric) = 0.8507599075704536738376642153777 absolute error = 2.8284102140880321171304466e-07 relative error = 3.3245703391102434880089041936899e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2777.1MB, alloc=4.4MB, time=306.04 NO POLE NO POLE x[1] = 0.1499 y2[1] (analytic) = 1.988786016805409354741399014191 y2[1] (numeric) = 1.9887631158540275697786061210132 absolute error = 2.29009513817849627928931778e-05 relative error = 0.0011515040425802471809881473154898 % h = 0.0001 y1[1] (analytic) = 0.85066074538122024929671167234376 y1[1] (numeric) = 0.85066103050543942458056716639529 absolute error = 2.8512421917528385549405153e-07 relative error = 3.3517970674373432399305838486046e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2780.9MB, alloc=4.4MB, time=306.31 memory used=2784.7MB, alloc=4.4MB, time=306.59 NO POLE NO POLE x[1] = 0.15 y2[1] (analytic) = 1.9887710779360422867349809986543 y2[1] (numeric) = 1.9887480385727651423491221423566 absolute error = 2.30393632771443858588562977e-05 relative error = 0.0011584723617891087558476586729306 % h = 0.0001 y1[1] (analytic) = 0.85056186752640077850227456131236 y1[1] (numeric) = 0.85056215494763103832476683393348 absolute error = 2.8742123025982249227262112e-07 relative error = 3.3791925224169676398352508697676e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2788.5MB, alloc=4.4MB, time=306.86 NO POLE NO POLE x[1] = 0.1501 y2[1] (analytic) = 1.9887561291789644476078990958217 y2[1] (numeric) = 1.9887329508454139051169875811312 absolute error = 2.31783335505424909115146905e-05 relative error = 0.0011654688682272674966800681980108 % h = 0.0001 y1[1] (analytic) = 0.85046299116596263119851189505999 y1[1] (numeric) = 0.85046328089807307451244060509221 absolute error = 2.8973211044331392871003222e-07 relative error = 3.4067574186396840659793389177795e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2792.4MB, alloc=4.4MB, time=307.13 NO POLE NO POLE x[1] = 0.1502 y2[1] (analytic) = 1.9887411705343253249308071239882 y2[1] (numeric) = 1.9887178526709850944786449339695 absolute error = 2.33178633402304521621900187e-05 relative error = 0.0011724936198693730375195083178398 % h = 0.0001 y1[1] (analytic) = 0.85036411630089457098898117695424 y1[1] (numeric) = 0.85036440835781019146287349578047 absolute error = 2.9205691562047389231882623e-07 relative error = 3.4344924723650013286203976351882e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2796.2MB, alloc=4.4MB, time=307.40 memory used=2800.0MB, alloc=4.4MB, time=307.68 NO POLE NO POLE x[1] = 0.1503 y2[1] (analytic) = 1.9887262020022745051499716545528 y2[1] (numeric) = 1.9887027440484899617842375559852 absolute error = 2.34579537845433657340985676e-05 relative error = 0.0011795466746968790067882993421676 % h = 0.0001 y1[1] (analytic) = 0.85026524293218534652353905188179 y1[1] (numeric) = 0.85026553732788714637096327501101 absolute error = 2.9439570179984742422312922e-07 relative error = 3.4623984015224242090159008117959e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2803.8MB, alloc=4.4MB, time=307.95 NO POLE NO POLE x[1] = 0.1504 y2[1] (analytic) = 1.9887112235829616735857761475568 y2[1] (numeric) = 1.988687624976939773347497147263 absolute error = 2.35986060219002382790002938e-05 relative error = 0.0011866280906980455705020188166546 % h = 0.0001 y1[1] (analytic) = 0.85016637106082369148845381975808 y1[1] (numeric) = 0.85016666780934879530572460043892 absolute error = 2.9674852510381727078068084e-07 relative error = 3.4904759257125086602059863406770e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2807.6MB, alloc=4.4MB, time=308.22 memory used=2811.4MB, alloc=4.4MB, time=308.50 NO POLE NO POLE x[1] = 0.1505 y2[1] (analytic) = 1.9886962352765366144312240984814 y2[1] (numeric) = 1.9886724954553458104556310897133 absolute error = 2.37398211908039755930087681e-05 relative error = 0.0011937379258679419759464695541689 % h = 0.0001 y1[1] (analytic) = 0.85006750068779832459651809867291 y1[1] (numeric) = 0.85006779980324009320879216515903 absolute error = 2.9911544176861227406648612e-07 relative error = 3.5187257662079176700114473112152e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2815.2MB, alloc=4.4MB, time=308.77 NO POLE NO POLE x[1] = 0.1506 y2[1] (analytic) = 1.9886812370831492107504411963185 y2[1] (numeric) = 1.988657355482719369379209634192 absolute error = 2.38816004298413712315621265e-05 relative error = 0.0012008762382084490958267241355409 % h = 0.0001 y1[1] (analytic) = 0.84996863181409794957716163777069 y1[1] (numeric) = 0.84996893331060609389292285577714 absolute error = 3.0149650814431576121800645e-07 relative error = 3.5471486459544777866785990418318e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2819.1MB, alloc=4.4MB, time=309.05 memory used=2822.9MB, alloc=4.4MB, time=309.32 NO POLE NO POLE x[1] = 0.1507 y2[1] (analytic) = 1.9886662290029494444771764929311 y2[1] (numeric) = 1.9886422050580717613820529377863 absolute error = 2.40239448776830951235551448e-05 relative error = 0.0012080430857282619728884238065553 % h = 0.0001 y1[1] (analytic) = 0.84986976444071125516656427996442 y1[1] (numeric) = 0.84987006833249195004049692177 absolute error = 3.0389178069487393264180558e-07 relative error = 3.5757452895722363076029443073892e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2826.7MB, alloc=4.4MB, time=309.59 NO POLE NO POLE x[1] = 0.1508 y2[1] (analytic) = 1.9886512110360873964133025837168 y2[1] (numeric) = 1.9886270441804143127311179511685 absolute error = 2.41668556730836821846325483e-05 relative error = 0.0012152385264428923650115095416938 % h = 0.0001 y1[1] (analytic) = 0.84977089856862691509776907458214 y1[1] (numeric) = 0.84977120486994291320201815614909 absolute error = 3.0630131599810424908156695e-07 relative error = 3.6045164233565191315638675190930e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2830.5MB, alloc=4.4MB, time=309.87 memory used=2834.3MB, alloc=4.4MB, time=310.14 NO POLE NO POLE x[1] = 0.1509 y2[1] (analytic) = 1.9886361831827132462273147995907 y2[1] (numeric) = 1.9886118728487583647063851559179 absolute error = 2.43103339548815209296436728e-05 relative error = 0.0012224626183746712907765633263529 % h = 0.0001 y1[1] (analytic) = 0.84967203419883358809079554004469 y1[1] (numeric) = 0.84967234292400433379461308744312 absolute error = 3.0872517074570381754739843e-07 relative error = 3.6334627752789892749028891146767e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2838.1MB, alloc=4.4MB, time=310.42 NO POLE NO POLE x[1] = 0.151 y2[1] (analytic) = 1.9886211454429772724528294103012 y2[1] (numeric) = 1.988596691062115273610745151713 absolute error = 2.44543808619988420842585882e-05 relative error = 0.0012297154195527515755039375077726 % h = 0.0001 y1[1] (analytic) = 0.8495731713323199178427530766738 y1[1] (numeric) = 0.84957348249572166110052918301433 absolute error = 3.1116340174325777610634053e-07 relative error = 3.6625850749887060520783146155985e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2841.9MB, alloc=4.4MB, time=310.70 memory used=2845.8MB, alloc=4.4MB, time=310.98 NO POLE NO POLE x[1] = 0.1511 y2[1] (analytic) = 1.9886060978170298524870808390954 y2[1] (numeric) = 1.9885814988194964107798850932943 absolute error = 2.45989975334417071957458011e-05 relative error = 0.0012369969880131103977658503662799 % h = 0.0001 y1[1] (analytic) = 0.84947430997007453301795452972924 y1[1] (numeric) = 0.8494746235861404432656320637236 absolute error = 3.1361606591024767753399436e-07 relative error = 3.6918840538131849210294190621469e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2849.6MB, alloc=4.4MB, time=311.25 NO POLE NO POLE x[1] = 0.1512 y2[1] (analytic) = 1.9885910403050214625894178887478 y2[1] (numeric) = 1.9885662961199131625921749770991 absolute error = 2.47441851082999972429116487e-05 relative error = 0.0012443073817985518363716258972253 % h = 0.0001 y1[1] (analytic) = 0.84937545011308604723802990277388 y1[1] (numeric) = 0.84937576619630632729790172995934 absolute error = 3.1608322028005987182718546e-07 relative error = 3.7213604447594579937836095507208e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2853.4MB, alloc=4.4MB, time=311.52 NO POLE NO POLE memory used=2857.2MB, alloc=4.4MB, time=311.80 x[1] = 0.1513 y2[1] (analytic) = 1.9885759729071026778797989789685 y2[1] (numeric) = 1.9885510829623769304785537774697 absolute error = 2.48899447257474012452014988e-05 relative error = 0.0012516466589587094178262559646595 % h = 0.0001 y1[1] (analytic) = 0.84927659176234305907204022146568 y1[1] (numeric) = 0.84927691032726505906592779904526 absolute error = 3.1856492199999388757757958e-07 relative error = 3.7510149825151352127403122524773e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2861.0MB, alloc=4.4MB, time=312.07 NO POLE NO POLE x[1] = 0.1514 y2[1] (analytic) = 1.9885608956234241723372863952044 y2[1] (numeric) = 1.9885358593458991309324154323357 absolute error = 2.50362775250414048709628687e-05 relative error = 0.0012590148775500486642624629322025 % h = 0.0001 y1[1] (analytic) = 0.84917773491883415202659154787527 y1[1] (numeric) = 0.84917805598006248329740375404205 absolute error = 3.2106122833127081220616678e-07 relative error = 3.7808484034494661930656380638360e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2864.8MB, alloc=4.4MB, time=312.34 NO POLE NO POLE x[1] = 0.1515 y2[1] (analytic) = 1.9885458084541367187985395488499 y2[1] (numeric) = 1.9885206252694911955194946782719 absolute error = 2.51831846455232790448705780e-05 relative error = 0.0012664120956358696418464410321841 % h = 0.0001 y1[1] (analytic) = 0.84907887958354789453594914542818 y1[1] (numeric) = 0.849079203155744543577620203958 absolute error = 3.2357219664904167105852982e-07 relative error = 3.8108614456144027316321809186894e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2868.6MB, alloc=4.4MB, time=312.61 memory used=2872.5MB, alloc=4.4MB, time=312.89 NO POLE NO POLE x[1] = 0.1516 y2[1] (analytic) = 1.9885307113993911889563072488819 y2[1] (numeric) = 1.9885053807321645708877527348325 absolute error = 2.53306672266180685545140494e-05 relative error = 0.0012738383712863095096574547338923 % h = 0.0001 y1[1] (analytic) = 0.8489800257574728399521517945704 y1[1] (numeric) = 0.84898035185535728234795715538368 absolute error = 3.2609788444239580536081328e-07 relative error = 3.8410548487456619829386131453123e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2876.3MB, alloc=4.4MB, time=313.16 NO POLE NO POLE x[1] = 0.1517 y2[1] (analytic) = 1.9885156044593385533579189849331 y2[1] (numeric) = 1.9884901257329307187772628380634 absolute error = 2.54787264078345806561468697e-05 relative error = 0.0012812937625783450690414723212545 % h = 0.0001 y1[1] (analytic) = 0.8488811734415975265351262592562 y1[1] (numeric) = 0.84888150207994684090437529556568 absolute error = 3.2863834931436924903630948e-07 relative error = 3.8714293542637903024440429458507e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2880.1MB, alloc=4.4MB, time=313.43 memory used=2883.9MB, alloc=4.4MB, time=313.72 NO POLE NO POLE x[1] = 0.1518 y2[1] (analytic) = 1.9885004876341298814037752218205 y2[1] (numeric) = 1.9884748602708011160300956230933 absolute error = 2.56273633287653736795987272e-05 relative error = 0.0012887783275957953134390131364781 % h = 0.0001 y1[1] (analytic) = 0.84878232263691047744280190435716 y1[1] (numeric) = 0.8487826538305594593959062869346 absolute error = 3.3119364898195310438257744e-07 relative error = 3.9019857052752277577524063601504e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2887.7MB, alloc=4.4MB, time=313.99 NO POLE NO POLE x[1] = 0.1519 y2[1] (analytic) = 1.988485360923916341345836705542 y2[1] (numeric) = 1.9884595843447872546002043557047 absolute error = 2.57765791290867456323498373e-05 relative error = 0.001296292124429323978687386769986 % h = 0.0001 y1[1] (analytic) = 0.84868347334440020072122546409107 y1[1] (numeric) = 0.84868380710824147682314207310229 absolute error = 3.3376384127610191660901122e-07 relative error = 3.9327246465733733080824727685659e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2891.5MB, alloc=4.4MB, time=314.26 memory used=2895.4MB, alloc=4.4MB, time=314.55 NO POLE NO POLE x[1] = 0.152 y2[1] (analytic) = 1.9884702243288492002861127807586 y2[1] (numeric) = 1.988444297953900641563310012786 absolute error = 2.59263749485587228027679726e-05 relative error = 0.0013038352111764420937975027483679 % h = 0.0001 y1[1] (analytic) = 0.84858462556505518929467596156972 y1[1] (numeric) = 0.84858496191403933103672319634352 absolute error = 3.3634898414174204723477380e-07 relative error = 3.9636469246396506524593466147699e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2899.2MB, alloc=4.4MB, time=314.82 NO POLE NO POLE x[1] = 0.1521 y2[1] (analytic) = 1.9884550778490798241751487197755 y2[1] (numeric) = 1.9884290010971527991267862115662 absolute error = 2.60767519270250483625082093e-05 relative error = 0.0013114076459415105322054290908833 % h = 0.0001 y1[1] (analytic) = 0.84848577929986392095577977956433 y1[1] (numeric) = 0.84848611824899955873582612657711 absolute error = 3.3894913563778004634701278e-07 relative error = 3.9947532876445747470636554215409e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2903.0MB, alloc=4.4MB, time=315.09 memory used=2906.8MB, alloc=4.4MB, time=315.37 NO POLE NO POLE x[1] = 0.1522 y2[1] (analytic) = 1.9884399214847596778105120630374 y2[1] (numeric) = 1.9884136937735552646395439875329 absolute error = 2.62277112044131709680755045e-05 relative error = 0.0013190094868357425634988782909886 % h = 0.0001 y1[1] (analytic) = 0.84838693454981485835562588258755 y1[1] (numeric) = 0.84838727611416879546664960186179 absolute error = 3.4156435393711102371927424e-07 relative error = 4.0260444854488189921749210909879e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2910.6MB, alloc=4.4MB, time=315.64 NO POLE NO POLE x[1] = 0.1523 y2[1] (analytic) = 1.988424755236040324835277971155 y2[1] (numeric) = 1.9883983759821195906019164209349 absolute error = 2.63792539207342333615502201e-05 relative error = 0.001326640791977206405618799379828 % h = 0.0001 y1[1] (analytic) = 0.84828809131589644899388119039079 y1[1] (numeric) = 0.84828843551059377562089998042174 absolute error = 3.4419469732662701879003095e-07 relative error = 4.0575212696042830891459161567813e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2914.4MB, alloc=4.4MB, time=315.91 memory used=2918.2MB, alloc=4.4MB, time=316.19 NO POLE NO POLE x[1] = 0.1524 y2[1] (analytic) = 1.9884095791030734277365135884744 y2[1] (numeric) = 1.9883830477218573446755431117707 absolute error = 2.65313812160830609704767037e-05 relative error = 0.0013343016194908277775362545072632 % h = 0.0001 y1[1] (analytic) = 0.84818924959909712520890610297577 y1[1] (numeric) = 0.84818959643932133243427560421713 absolute error = 3.4684022420722536950124136e-07 relative error = 4.0891843933551615678451161608962e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2922.1MB, alloc=4.4MB, time=316.46 NO POLE NO POLE x[1] = 0.1525 y2[1] (analytic) = 1.9883943930860107478437614182088 y2[1] (numeric) = 1.9883677089917801096932545031639 absolute error = 2.66840942306381505069150449e-05 relative error = 0.0013419920275083924524047589235201 % h = 0.0001 y1[1] (analytic) = 0.84809040940040530416787017721919 y1[1] (numeric) = 0.84809075890139839798495017407469 absolute error = 3.4950099309381707999685550e-07 relative error = 4.1210346116390129850046627008808e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2925.9MB, alloc=4.4MB, time=316.73 NO POLE NO POLE x[1] = 0.1526 y2[1] (analytic) = 1.9883791971850041453275217091434 y2[1] (numeric) = 1.9883523597908994836689560530265 absolute error = 2.68373941046616585656561169e-05 relative error = 0.0013497120741685488111882628622734 % h = 0.0001 memory used=2929.7MB, alloc=4.4MB, time=317.00 y1[1] (analytic) = 0.84799157072080938785686795520926 y1[1] (numeric) = 0.84799192289787200319205513639359 absolute error = 3.5217706261533518718118433e-07 relative error = 4.1530726810878297939115636692132e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2933.5MB, alloc=4.4MB, time=317.28 NO POLE NO POLE x[1] = 0.1527 y2[1] (analytic) = 1.9883639914002055791977338539323 y2[1] (numeric) = 1.9883370001182270798075122539118 absolute error = 2.69912819784993902216000205e-05 relative error = 0.0013574618176168103967649542333047 % h = 0.0001 y1[1] (analytic) = 0.84789273356129776307103494439298 y1[1] (numeric) = 0.84789308842978927781416108144165 absolute error = 3.5486849151474312613704867e-07 relative error = 4.1852993600291088858801597491276e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2937.3MB, alloc=4.4MB, time=317.56 NO POLE NO POLE x[1] = 0.1528 y2[1] (analytic) = 1.9883487757317671073022567990002 y2[1] (numeric) = 1.9883216299727745265146305009573 absolute error = 2.71457589925807876262980429e-05 relative error = 0.0013652413160055584685070608417492 % h = 0.0001 y1[1] (analytic) = 0.84779389792285880140466374963302 y1[1] (numeric) = 0.84779425549819745044775815325725 absolute error = 3.5757533864904309440362423e-07 relative error = 4.2177154084869228039441984387029e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2941.1MB, alloc=4.4MB, time=317.83 memory used=2944.9MB, alloc=4.4MB, time=318.10 NO POLE NO POLE x[1] = 0.1529 y2[1] (analytic) = 1.9883335501798408863253484660648 y2[1] (numeric) = 1.9883062493535534674067448078196 absolute error = 2.73008262874189186036582452e-05 relative error = 0.0013730506274940445573368309716449 % h = 0.0001 y1[1] (analytic) = 0.84769506380648085924132035727303 y1[1] (numeric) = 0.847695424104143848525735471172 absolute error = 3.6029766298928441511389897e-07 relative error = 4.2503215881829916292071612991116e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2948.8MB, alloc=4.4MB, time=318.38 NO POLE NO POLE x[1] = 0.153 y2[1] (analytic) = 1.9883183147445791717861441852958 y2[1] (numeric) = 1.9882908582595755613208993705017 absolute error = 2.74564850036104652448147941e-05 relative error = 0.0013808898102483930212588712972484 % h = 0.0001 y1[1] (analytic) = 0.84759623121315227774396057131025 y1[1] (numeric) = 0.84759659424867589831585956296941 absolute error = 3.6303552362057189899165916e-07 relative error = 4.2831186625377555402897998504039e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2952.6MB, alloc=4.4MB, time=318.66 memory used=2956.4MB, alloc=4.4MB, time=318.94 NO POLE NO POLE x[1] = 0.1531 y2[1] (analytic) = 1.988303069426134318037134140125 y2[1] (numeric) = 1.9882754566898524823246319789744 absolute error = 2.76127362818357125021611506e-05 relative error = 0.0013887589224416036013690209950978 % h = 0.0001 y1[1] (analytic) = 0.84749740014386138284504660177415 y1[1] (numeric) = 0.84749776593284112491925180969483 absolute error = 3.6578897974207420520792068e-07 relative error = 4.3161073966714480463141458553933e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2960.2MB, alloc=4.4MB, time=319.22 NO POLE NO POLE x[1] = 0.1532 y2[1] (analytic) = 1.9882878142246587782626398237219 y2[1] (numeric) = 1.9882600446433959197258572764926 absolute error = 2.77695812628585367825472293e-05 relative error = 0.0013966580222535539783399410153527 % h = 0.0001 y1[1] (analytic) = 0.84739857059959648523666380541004 y1[1] (numeric) = 0.84739893915768715226886490213181 absolute error = 3.6855809066703220109672177e-07 relative error = 4.3492885574051698938635663852840e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2964.0MB, alloc=4.4MB, time=319.50 memory used=2967.8MB, alloc=4.4MB, time=319.77 NO POLE NO POLE x[1] = 0.1533 y2[1] (analytic) = 1.9882725491403051044772895071528 y2[1] (numeric) = 1.988244622119217578082749866508 absolute error = 2.79270210875263945396406448e-05 relative error = 0.0014045871678710023293835976621359 % h = 0.0001 y1[1] (analytic) = 0.84729974258134588036063757876649 y1[1] (numeric) = 0.84730011392426170312795830896016 absolute error = 3.7134291582276732073019367e-07 relative error = 4.3826629132619636483587455532689e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2971.6MB, alloc=4.4MB, time=320.05 NO POLE NO POLE x[1] = 0.1534 y2[1] (analytic) = 1.9882572741732259475244927192347 y2[1] (numeric) = 1.988229189116329177213627267079 absolute error = 2.80850568967703108654521557e-05 relative error = 0.0014125464174875898856908193762002 % h = 0.0001 y1[1] (analytic) = 0.84720091609009784839865040378529 y1[1] (numeric) = 0.84720129023361259908857275661091 absolute error = 3.7414351475068992235282562e-07 relative error = 4.4162312344678889502897841716286e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2975.5MB, alloc=4.4MB, time=320.32 memory used=2979.3MB, alloc=4.4MB, time=320.60 NO POLE NO POLE x[1] = 0.1535 y2[1] (analytic) = 1.9882419893235740570749137381034 y2[1] (numeric) = 1.9882137456337424522068327126795 absolute error = 2.82436898316048680810254239e-05 relative error = 0.0014205358293038434903481060207365 % h = 0.0001 y1[1] (analytic) = 0.84710209112684065426235904599283 y1[1] (numeric) = 0.84710246808678776057000372083353 absolute error = 3.7695994710630764467484070e-07 relative error = 4.4499942929530984467449179561945e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2983.1MB, alloc=4.4MB, time=320.87 NO POLE NO POLE x[1] = 0.1536 y2[1] (analytic) = 1.9882266945915022816249440945076 y2[1] (numeric) = 1.988198291670469153430617803307 absolute error = 2.84029210331281943262912006e-05 relative error = 0.0014285554615271781567318696996841 % h = 0.0001 y1[1] (analytic) = 0.84700326769256254758351190539184 y1[1] (numeric) = 0.84700364748483520681727392999054 absolute error = 3.7979227265923376202459870e-07 relative error = 4.4839528623529143986766609635530e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2986.9MB, alloc=4.4MB, time=321.14 NO POLE NO POLE memory used=2990.7MB, alloc=4.4MB, time=321.42 x[1] = 0.1537 y2[1] (analytic) = 1.9882113899771635684951740868466 y2[1] (numeric) = 1.9881828272255210465430250007919 absolute error = 2.85627516425219521490860547e-05 relative error = 0.0014366053723718996273802863995907 % h = 0.0001 y1[1] (analytic) = 0.84690444578825176270406652015208 y1[1] (numeric) = 0.84690482842880305589960488009485 absolute error = 3.8264055129319553835994277e-07 relative error = 4.5181077180089059643464972759953e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2994.5MB, alloc=4.4MB, time=321.69 NO POLE NO POLE x[1] = 0.1538 y2[1] (analytic) = 1.9881960754807109638288633079651 y2[1] (numeric) = 1.9881673522979099125017699722091 absolute error = 2.87231828010513270933357560e-05 relative error = 0.001444685620059206933342937625528 % h = 0.0001 y1[1] (analytic) = 0.84680562541489651866630722319901 y1[1] (numeric) = 0.84680601091973952470888736160515 absolute error = 3.8550484300604258013840614e-07 relative error = 4.5524596369699671593895484758499e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=2998.3MB, alloc=4.4MB, time=321.96 NO POLE NO POLE x[1] = 0.1539 y2[1] (analytic) = 1.9881807511022976125904101837226 y2[1] (numeric) = 1.9881518668866475475741237802922 absolute error = 2.88842156500650162864034304e-05 relative error = 0.001452796262817194954008421488447 % h = 0.0001 y1[1] (analytic) = 0.84670680657348501920296295179922 y1[1] (numeric) = 0.84670719495869292895815099799461 absolute error = 3.8838520790975518804619539e-07 relative error = 4.5870093979933954939409568841180e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3002.2MB, alloc=4.4MB, time=322.24 memory used=3006.0MB, alloc=4.4MB, time=322.51 NO POLE NO POLE x[1] = 0.154 y2[1] (analytic) = 1.9881654168420767585638205233501 y2[1] (numeric) = 1.9881363709907457633467949207528 absolute error = 2.90458513309952170256025973e-05 relative error = 0.0014609373588808569774101123947601 % h = 0.0001 y1[1] (analytic) = 0.84660798926500545272732521024132 y1[1] (numeric) = 0.84660838054671168318003279610814 absolute error = 3.9128170623045270758586682e-07 relative error = 4.6217577815459712872660357922652e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3009.8MB, alloc=4.4MB, time=322.78 NO POLE NO POLE x[1] = 0.1541 y2[1] (analytic) = 1.9881500727002017443511750816119 y2[1] (numeric) = 1.9881208646092163867358112064051 absolute error = 2.92080909853576153638752068e-05 relative error = 0.0014691089664920872610102489066207 % h = 0.0001 y1[1] (analytic) = 0.84650917349044599232336618571131 y1[1] (numeric) = 0.84650956768484430072524470832361 absolute error = 3.9419439830840187852261230e-07 relative error = 4.6567055698050376603365465715874e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3013.6MB, alloc=4.4MB, time=323.06 memory used=3017.4MB, alloc=4.4MB, time=323.33 NO POLE NO POLE x[1] = 0.1542 y2[1] (analytic) = 1.9881347186768260113710961327854 y2[1] (numeric) = 1.9881053477410712599964014979976 absolute error = 2.93709357547513746946347878e-05 relative error = 0.0014773111438996835929625290599604 % h = 0.0001 y1[1] (analytic) = 0.84641035925079479573585701746104 y1[1] (numeric) = 0.84641075637413939376104020653234 absolute error = 3.9712334459802518318907130e-07 relative error = 4.6918535466595812067957772232876e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3021.2MB, alloc=4.4MB, time=323.61 NO POLE NO POLE x[1] = 0.1543 y2[1] (analytic) = 1.9881193547721030998572130564767 y2[1] (numeric) = 1.9880898203853222407328772816522 absolute error = 2.95343867808591243357748245e-05 relative error = 0.0014855439493593498538533927947737 % h = 0.0001 y1[1] (analytic) = 0.8463115465470400053604862193688 y1[1] (numeric) = 0.84631194661564567326967986795414 absolute error = 4.0006860566790919364858534e-07 relative error = 4.7272024977113133427554026349439e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3025.1MB, alloc=4.4MB, time=323.88 memory used=3028.9MB, alloc=4.4MB, time=324.15 NO POLE NO POLE x[1] = 0.1544 y2[1] (analytic) = 1.9881039809861866488566269352853 y2[1] (numeric) = 1.9880742825409812019085140928131 absolute error = 2.96984452054469481128424722e-05 relative error = 0.0014938074411336985789221708657339 % h = 0.0001 y1[1] (analytic) = 0.84621273538016974823397825599061 y1[1] (numeric) = 0.8462131384104119490468959728023 absolute error = 4.0303024220081291771681169e-07 relative error = 4.7627532102757523358674251506140e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3032.7MB, alloc=4.4MB, time=324.42 NO POLE NO POLE x[1] = 0.1545 y2[1] (analytic) = 1.9880885973192303962283741643344 y2[1] (numeric) = 1.9880587342070600318554327866058 absolute error = 2.98631121703643729413777286e-05 relative error = 0.0015021016774922535207602799133668 % h = 0.0001 y1[1] (analytic) = 0.84611392575117213602421227220124 y1[1] (numeric) = 0.84611433175948712970035611381387 absolute error = 4.0600831499367614384161263e-07 relative error = 4.7985064733833060141147995286129e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3036.5MB, alloc=4.4MB, time=324.69 memory used=3040.3MB, alloc=4.4MB, time=324.97 NO POLE NO POLE x[1] = 0.1546 y2[1] (analytic) = 1.988073203771388178641889072682 y2[1] (numeric) = 1.9880431753825706342844806545076 absolute error = 3.00283888175443574084181744e-05 relative error = 0.0015104267167114522124896433008908 % h = 0.0001 y1[1] (analytic) = 0.84601511766103526502034097652364 y1[1] (numeric) = 0.84601552666392022264812581766057 absolute error = 4.0900288495762778484113693e-07 relative error = 4.8344630777803551547646623417327e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3044.1MB, alloc=4.4MB, time=325.25 NO POLE NO POLE x[1] = 0.1547 y2[1] (analytic) = 1.9880578003428139315754655566276 y2[1] (numeric) = 1.9880276060665249282951123872309 absolute error = 3.01942762890032803531693967e-05 relative error = 0.0015187826170746485314205173523472 % h = 0.0001 y1[1] (analytic) = 0.84591631111074721612290967824566 y1[1] (numeric) = 0.84591672312476033411713017825571 absolute error = 4.1201401311799422050001005e-07 relative error = 4.8706238159303375539283960678830e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3047.9MB, alloc=4.4MB, time=325.52 memory used=3051.8MB, alloc=4.4MB, time=325.79 NO POLE NO POLE x[1] = 0.1548 y2[1] (analytic) = 1.9880423870336616893147177249308 y2[1] (numeric) = 1.9880120262579348483852708837204 absolute error = 3.03607757268409294468412104e-05 relative error = 0.0015271694368721152631889027587832 % h = 0.0001 y1[1] (analytic) = 0.84581750610129605483397547842282 y1[1] (numeric) = 0.84581792114305666914161450197257 absolute error = 4.1504176061430763902354975e-07 relative error = 4.9069894820148327771730726856385e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3055.6MB, alloc=4.4MB, time=326.07 NO POLE NO POLE x[1] = 0.1549 y2[1] (analytic) = 1.9880269638440855849510395559561 y2[1] (numeric) = 1.9879964359558123444612679061655 absolute error = 3.05278882732404897716497906e-05 relative error = 0.0015355872344010466663737208542408 % h = 0.0001 y1[1] (analytic) = 0.84571870263366983124722661486598 y1[1] (numeric) = 0.84571912071985853156160396478951 absolute error = 4.1808618870031437734992353e-07 relative error = 4.9435608719346475916291309563774e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3059.4MB, alloc=4.4MB, time=326.34 NO POLE NO POLE memory used=3063.2MB, alloc=4.4MB, time=326.61 x[1] = 0.155 y2[1] (analytic) = 1.9880115307742398503800635667605 y2[1] (numeric) = 1.9879808351591693818476645809288 absolute error = 3.06956150704685323989858317e-05 relative error = 0.0015440360679655610375939346447802 % h = 0.0001 y1[1] (analytic) = 0.84561990070885658003810196121268 y1[1] (numeric) = 0.84562032185621532402136228137733 absolute error = 4.2114735874398326032016465e-07 relative error = 4.9803387833109020800394582715953e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3067.0MB, alloc=4.4MB, time=326.89 NO POLE NO POLE x[1] = 0.1551 y2[1] (analytic) = 1.9879960878242788163001184941384 y2[1] (numeric) = 1.9879652238670179412971517452926 absolute error = 3.08639572608750029667488458e-05 relative error = 0.0015525159958767032770857943635239 % h = 0.0001 y1[1] (analytic) = 0.84552110032784432045391068018099 y1[1] (numeric) = 0.84552152455317654796784938614423 absolute error = 4.2422533222751393870596324e-07 relative error = 5.0173240154861164371953581414457e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3070.8MB, alloc=4.4MB, time=327.16 NO POLE NO POLE x[1] = 0.1552 y2[1] (analytic) = 1.9879806349943569122106859876398 y2[1] (numeric) = 1.9879496020783700190004301399233 absolute error = 3.10329159868932102558477165e-05 relative error = 0.0015610270764524474547603875464651 % h = 0.0001 y1[1] (analytic) = 0.84542230149162105630395203110468 y1[1] (numeric) = 0.84542272881179180364917812625381 absolute error = 4.2732017074734522609514913e-07 relative error = 5.0545173695252984492051990913420e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3074.6MB, alloc=4.4MB, time=327.43 memory used=3078.5MB, alloc=4.4MB, time=327.71 NO POLE NO POLE x[1] = 0.1553 y2[1] (analytic) = 1.9879651722846286664108563145761 y2[1] (numeric) = 1.9879339697922376265960904469565 absolute error = 3.12024923910398147658676196e-05 relative error = 0.0015695693680176993767416734381269 % h = 0.0001 y1[1] (analytic) = 0.84532350420117477594963533184841 y1[1] (numeric) = 0.84532393463311079011306996663153 absolute error = 4.3043193601416343463478312e-07 relative error = 5.0919196482170316560418553090982e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3082.3MB, alloc=4.4MB, time=327.98 NO POLE NO POLE x[1] = 0.1554 y2[1] (analytic) = 1.9879496996952487059977830770315 y2[1] (numeric) = 1.9879183270076327911804931736028 absolute error = 3.13726876159148172899034287e-05 relative error = 0.0015781429289042991523851819088577 % h = 0.0001 y1[1] (analytic) = 0.8452247084574934522946000752019 y1[1] (numeric) = 0.84522514201818330520530970697511 absolute error = 4.3356068985291070963177321e-07 relative error = 5.1295316560745641978153607692639e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3086.1MB, alloc=4.4MB, time=328.26 memory used=3089.9MB, alloc=4.4MB, time=328.55 NO POLE NO POLE x[1] = 0.1555 y2[1] (analytic) = 1.9879342172263717568651369408918 y2[1] (numeric) = 1.9879026737235675553176483811757 absolute error = 3.15435028042015474885597161e-05 relative error = 0.0015867478174510237617775567290275 % h = 0.0001 y1[1] (analytic) = 0.84512591426156504277483619985176 y1[1] (numeric) = 0.84512635096805924556819921078427 absolute error = 4.3670649420279336301093251e-07 relative error = 5.1673541993368983452175149146843e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3093.7MB, alloc=4.4MB, time=328.82 NO POLE NO POLE x[1] = 0.1556 y2[1] (analytic) = 1.9879187248781526437015583769096 y2[1] (numeric) = 1.9878870099390539770490952594437 absolute error = 3.17149390986666524631174659e-05 relative error = 0.0015953840920035896237171234181262 % h = 0.0001 y1[1] (analytic) = 0.84502712161437748934880451602984 y1[1] (numeric) = 0.84502756148378860663901014642531 absolute error = 4.3986941111729020563039547e-07 relative error = 5.2053880859698807145854912565217e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3097.5MB, alloc=4.4MB, time=329.10 memory used=3101.3MB, alloc=4.4MB, time=329.39 NO POLE NO POLE x[1] = 0.1557 y2[1] (analytic) = 1.9879032226507462899891094138189 y2[1] (numeric) = 1.9878713356531041299037815462063 absolute error = 3.18869976421600853278676126e-05 relative error = 0.00160405181091465516417566175149 % h = 0.0001 y1[1] (analytic) = 0.84492833051691871848755728593684 y1[1] (numeric) = 0.84492877356642148264843574024602 absolute error = 4.4304950276416087845430918e-07 relative error = 5.2436341256672931680318160219515e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3105.2MB, alloc=4.4MB, time=329.66 NO POLE NO POLE x[1] = 0.1558 y2[1] (analytic) = 1.9878877105443077180017244035157 y2[1] (numeric) = 1.9878556508647301029079427919965 absolute error = 3.20596795776150937816115192e-05 relative error = 0.0016127510325438233852415630884069 % h = 0.0001 y1[1] (analytic) = 0.84482954097017664116485895904 y1[1] (numeric) = 0.84482998721700806661904154175632 absolute error = 4.4624683142545418258271632e-07 relative error = 5.2820931298519443990883966730542e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3109.0MB, alloc=4.4MB, time=329.93 memory used=3112.8MB, alloc=4.4MB, time=330.21 NO POLE NO POLE x[1] = 0.1559 y2[1] (analytic) = 1.9878721885589920488036597983204 y2[1] (numeric) = 1.9878399555729440005949814698101 absolute error = 3.22329860480482086783285103e-05 relative error = 0.0016214818152576444345445528066556 % h = 0.0001 y1[1] (analytic) = 0.84473075297513915284730706234375 y1[1] (numeric) = 0.84473120243659865036371520089023 absolute error = 4.4946145949751640813854648e-07 relative error = 5.3207659116767622043125967218716e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3116.6MB, alloc=4.4MB, time=330.49 NO POLE NO POLE x[1] = 0.156 y2[1] (analytic) = 1.9878566566949545022479429403361 y2[1] (numeric) = 1.9878242497767579430153459297635 absolute error = 3.24069181965592325970105726e-05 relative error = 0.0016302442174296181751621580184475 % h = 0.0001 y1[1] (analytic) = 0.84463196653279413348445324573189 y1[1] (numeric) = 0.84463241922624362448411525736458 absolute error = 4.5269344949099966201163269e-07 relative error = 5.3596532860258864413036698726322e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3120.4MB, alloc=4.4MB, time=330.77 memory used=3124.2MB, alloc=4.4MB, time=331.04 NO POLE NO POLE x[1] = 0.1561 y2[1] (analytic) = 1.9878411149523503969748198629195 y2[1] (numeric) = 1.9878085334751840657464091985811 absolute error = 3.25814771663312284106643384e-05 relative error = 0.001639038297440196756008100949595 % h = 0.0001 y1[1] (analytic) = 0.84453318164412944749892448248036 y1[1] (numeric) = 0.84453363758699347836911894215005 absolute error = 4.5594286403087019445966969e-07 relative error = 5.3987560695157626735781782779521e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3128.1MB, alloc=4.4MB, time=331.33 NO POLE NO POLE x[1] = 0.1562 y2[1] (analytic) = 1.9878255633313351504102021042804 y2[1] (numeric) = 1.9877928066672345199023476238131 absolute error = 3.27566641006305078544804673e-05 relative error = 0.0016478641136767871827027983895098 % h = 0.0001 y1[1] (analytic) = 0.84443439831013294377654442503918 y1[1] (numeric) = 0.84443485751989880019326899107 absolute error = 4.5920976585641672456603082e-07 relative error = 5.4380750804962365027533395036724e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3131.9MB, alloc=4.4MB, time=331.60 NO POLE NO POLE x[1] = 0.1563 y2[1] (analytic) = 1.987810001832064278764112533223 y2[1] (numeric) = 1.9877770693519214721440193626856 absolute error = 3.29324801428066200931705374e-05 relative error = 0.0016567217245337538889261474693637 % h = 0.0001 y1[1] (analytic) = 0.84433561653179245565645491618245 y1[1] (numeric) = 0.84433607902601027691521947054263 absolute error = 4.6249421782125876455436018e-07 relative error = 5.4776111390516485884875599801356e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3135.7MB, alloc=4.4MB, time=331.87 memory used=3139.5MB, alloc=4.4MB, time=332.15 NO POLE NO POLE x[1] = 0.1564 y2[1] (analytic) = 1.9877944304546933970291301870478 y2[1] (numeric) = 1.9877613215282571046888427154839 absolute error = 3.31089264362923402874715639e-05 relative error = 0.0016656111884124213082527784036944 % h = 0.0001 y1[1] (analytic) = 0.84423683631009580092123765562519 y1[1] (numeric) = 0.84423730210637869427618061548206 absolute error = 4.6579628289335494295985687e-07 relative error = 5.5173650670019303566277307579648e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3143.3MB, alloc=4.4MB, time=332.43 NO POLE NO POLE x[1] = 0.1565 y2[1] (analytic) = 1.9877788491993782189788341216266 y2[1] (numeric) = 1.9877455631952536153206743033699 absolute error = 3.32860041246036581598182567e-05 relative error = 0.0016745325637210764464699545597771 % h = 0.0001 y1[1] (analytic) = 0.84413805764603078178703602220568 y1[1] (numeric) = 0.84413852676205493679836267937385 absolute error = 4.6911602415501132665716817e-07 relative error = 5.5573376879037003960131783661925e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3147.1MB, alloc=4.4MB, time=332.71 memory used=3150.9MB, alloc=4.4MB, time=332.98 NO POLE NO POLE x[1] = 0.1566 y2[1] (analytic) = 1.9877632580662745571662462736679 y2[1] (numeric) = 1.9877297943519232173996870905354 absolute error = 3.34637143513397665591831325e-05 relative error = 0.0016834859088749714543783004612467 % h = 0.0001 y1[1] (analytic) = 0.84403928054058518489367705173236 y1[1] (numeric) = 0.84403975299408998778341879654048 absolute error = 4.7245350480288974174480812e-07 relative error = 5.5975298270513615443864754603057e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3154.8MB, alloc=4.4MB, time=333.26 NO POLE NO POLE x[1] = 0.1567 y2[1] (analytic) = 1.9877476570555383229222733351887 y2[1] (numeric) = 1.9877140149972781398722482505922 absolute error = 3.36420582601830500250845965e-05 relative error = 0.0016924712822963262010755383583345 % h = 0.0001 y1[1] (analytic) = 0.8439405049947467812947935705937 y1[1] (numeric) = 0.84394098080353492931088685661246 absolute error = 4.7580878814801609328601876e-07 relative error = 5.6379423114781986638616422925510e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3158.6MB, alloc=4.4MB, time=333.55 memory used=3162.4MB, alloc=4.4MB, time=333.84 NO POLE NO POLE x[1] = 0.1568 y2[1] (analytic) = 1.9877320461673255263541476402058 y2[1] (numeric) = 1.9876982251303306272807968771001 absolute error = 3.38210369948990733507631057e-05 relative error = 0.0017014887424143308477234138871472 % h = 0.0001 y1[1] (analytic) = 0.84384173100950332644794648523016 y1[1] (numeric) = 0.84384221019144094223663039122054 absolute error = 4.7918193761578868390599038e-07 relative error = 5.6785759699574771064005763683491e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3166.2MB, alloc=4.4MB, time=334.14 NO POLE NO POLE x[1] = 0.1569 y2[1] (analytic) = 1.9877164254017922763438670636654 y2[1] (numeric) = 1.9876824247500929397737215381343 absolute error = 3.40006516993365701455255311e-05 relative error = 0.0017105383476651484217979916530746 % h = 0.0001 y1[1] (analytic) = 0.84374295858584256020474722756679 y1[1] (numeric) = 0.84374344115885930619127847292469 absolute error = 4.8257301674598653124535790e-07 relative error = 5.7194316330035418697488741255294e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3170.0MB, alloc=4.4MB, time=334.42 memory used=3173.8MB, alloc=4.4MB, time=334.70 NO POLE NO POLE x[1] = 0.157 y2[1] (analytic) = 1.9877007947590947805466339326243 y2[1] (numeric) = 1.9876666138555773531152376747932 absolute error = 3.41809035174274313962578311e-05 relative error = 0.001719620156491917391823501367939 % h = 0.0001 y1[1] (analytic) = 0.84364418772475220680098035650535 y1[1] (numeric) = 0.84364467370684139957866462639543 absolute error = 4.8598208919277768426989008e-07 relative error = 5.7605101328729174442825210917018e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3177.6MB, alloc=4.4MB, time=334.97 NO POLE NO POLE x[1] = 0.1571 y2[1] (analytic) = 1.9876851542393893453892929496991 y2[1] (numeric) = 1.9876507924457961586952648435483 absolute error = 3.43617935931866940281061508e-05 relative error = 0.0017287342273447542425899153373018 % h = 0.0001 y1[1] (analytic) = 0.84354541842721997484672631557469 y1[1] (numeric) = 0.84354590783643869957426475186309 absolute error = 4.8940921872472753843628840e-07 relative error = 5.8018123035654083512172464689266e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3181.5MB, alloc=4.4MB, time=335.25 memory used=3185.3MB, alloc=4.4MB, time=335.53 NO POLE NO POLE x[1] = 0.1572 y2[1] (analytic) = 1.9876695038428323760687681287989 y2[1] (numeric) = 1.9876349605197616635393038023364 absolute error = 3.45433230707125294643264625e-05 relative error = 0.0017378806186807560508544381706295 % h = 0.0001 y1[1] (analytic) = 0.8434466506942335573164843468382 y1[1] (numeric) = 0.8434471435487027821236340608507 absolute error = 4.9285446922480714971401250e-07 relative error = 5.8433389808252003726326567653910e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3189.1MB, alloc=4.4MB, time=335.80 NO POLE NO POLE x[1] = 0.1573 y2[1] (analytic) = 1.9876538435695803765504987431578 y2[1] (numeric) = 1.9876191180764861903183134402966 absolute error = 3.47254930941862321853028612e-05 relative error = 0.0017470593889640030615270895576678 % h = 0.0001 y1[1] (analytic) = 0.84334788452678063153929556115702 y1[1] (numeric) = 0.84334838084468532194084302420601 absolute error = 4.9631790469040154746304899e-07 relative error = 5.8850910021419624737635804657242e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3192.9MB, alloc=4.4MB, time=336.07 NO POLE NO POLE memory used=3196.7MB, alloc=4.4MB, time=336.36 x[1] = 0.1574 y2[1] (analytic) = 1.9876381734197899495668742856814 y2[1] (numeric) = 1.9876032651149820773585875510524 absolute error = 3.49083048078722082867346290e-05 relative error = 0.0017562705966655612643405610055357 % h = 0.0001 y1[1] (analytic) = 0.84324911992584885918886616490787 y1[1] (numeric) = 0.84324961972543809250691233244845 absolute error = 4.9979958923331804616754058e-07 relative error = 5.9270692067519494180113759538783e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3200.5MB, alloc=4.4MB, time=336.63 NO POLE NO POLE x[1] = 0.1575 y2[1] (analytic) = 1.9876224933936177966156684416244 y2[1] (numeric) = 1.9875874016342616786516314494407 absolute error = 3.50917593561179640369921837e-05 relative error = 0.0017655143002634849710045275476389 % h = 0.0001 y1[1] (analytic) = 0.84315035689242588627369084325421 y1[1] (numeric) = 0.84315086019201296606824686844649 absolute error = 5.0329958707979455602519228e-07 relative error = 5.9692744356391050751282713366674e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3204.3MB, alloc=4.4MB, time=336.90 NO POLE NO POLE x[1] = 0.1576 y2[1] (analytic) = 1.9876068034912207179584720736141 y2[1] (numeric) = 1.9875715276333373638640384315881 absolute error = 3.52758578833540944336420260e-05 relative error = 0.0017747905582428193928445954363921 % h = 0.0001 y1[1] (analytic) = 0.84305159542749934312717630006955 y1[1] (numeric) = 0.84305210224546191363506869244124 absolute error = 5.0681796257050789239237169e-07 relative error = 6.0117075315361664230281270655277e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3208.2MB, alloc=4.4MB, time=337.18 memory used=3212.0MB, alloc=4.4MB, time=337.46 NO POLE NO POLE x[1] = 0.1577 y2[1] (analytic) = 1.9875911037127556126191252190359 y2[1] (numeric) = 1.9875556431112215183473660782372 absolute error = 3.54606015340942717591407987e-05 relative error = 0.0017840994290956032189260668276218 % h = 0.0001 y1[1] (analytic) = 0.8429528355320568443977649546116 y1[1] (numeric) = 0.84295334588683700497984903943184 absolute error = 5.1035478016058208408482024e-07 relative error = 6.0543693389257682436773296488100e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3215.8MB, alloc=4.4MB, time=337.73 NO POLE NO POLE x[1] = 0.1578 y2[1] (analytic) = 1.9875753940583794783821480997962 y2[1] (numeric) = 1.9875397480669265431480124012226 absolute error = 3.56459914529352341356985736e-05 relative error = 0.0017934409713208711946627026264461 % h = 0.0001 y1[1] (analytic) = 0.84285407720708598903905879504604 y1[1] (numeric) = 0.84285459111719040863573932893838 absolute error = 5.1391010441959668053389234e-07 relative error = 6.0972607040415485135198454676335e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3219.6MB, alloc=4.4MB, time=338.00 memory used=3223.4MB, alloc=4.4MB, time=338.29 NO POLE NO POLE x[1] = 0.1579 y2[1] (analytic) = 1.9875596745282494117911711444781 y2[1] (numeric) = 1.9875238424994648550170918329986 absolute error = 3.58320287845567740793114795e-05 relative error = 0.0018028152434246567009106645949408 % h = 0.0001 y1[1] (analytic) = 0.84275532045357436029994338891879 y1[1] (numeric) = 0.84275583793757439189500118715798 absolute error = 5.1748400003159505779823919e-07 relative error = 6.1403824748692544888907809953124e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3227.2MB, alloc=4.4MB, time=338.57 NO POLE NO POLE x[1] = 0.158 y2[1] (analytic) = 1.9875439451225226081473640229073 y2[1] (numeric) = 1.9875079264078488864203110591199 absolute error = 3.60187146737217270529637874e-05 relative error = 0.0018122223039199943335478180039941 % h = 0.0001 y1[1] (analytic) = 0.84265656527250952571471205067536 y1[1] (numeric) = 0.84265708634904132080743548152981 absolute error = 5.2107653179509272343085445e-07 relative error = 6.1837355011478494868731210807113e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3231.0MB, alloc=4.4MB, time=338.84 memory used=3234.9MB, alloc=4.4MB, time=339.12 NO POLE NO POLE x[1] = 0.1581 y2[1] (analytic) = 1.9875282058413563615078636931406 y2[1] (numeric) = 1.9874919997910910855478446935764 absolute error = 3.62060502652759600189995642e-05 relative error = 0.0018216622113269224835385759165223 % h = 0.0001 y1[1] (analytic) = 0.84255781166487903709319016632611 y1[1] (numeric) = 0.84255833635264366017881036772471 absolute error = 5.2468776462308562020139860e-07 relative error = 6.2273206343706203620526328334078e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3238.7MB, alloc=4.4MB, time=339.40 NO POLE NO POLE x[1] = 0.1582 y2[1] (analytic) = 1.9875124566849080646842014608968 y2[1] (numeric) = 1.9874760626482039163242107968831 absolute error = 3.63940367041483599906640137e-05 relative error = 0.0018311350241724859174844666128474 % h = 0.0001 y1[1] (analytic) = 0.8424590596316704305108596753563 y1[1] (numeric) = 0.84245958794943397356928834907512 absolute error = 5.2831776354305842867371882e-07 relative error = 6.2711387277862856796262431573621e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3242.5MB, alloc=4.4MB, time=339.67 memory used=3246.3MB, alloc=4.4MB, time=339.94 NO POLE NO POLE x[1] = 0.1583 y2[1] (analytic) = 1.9874966976533352092407290514421 y2[1] (numeric) = 1.9874601149781998584181462368268 absolute error = 3.65826751353508225828146153e-05 relative error = 0.0018406408009907383586606052927252 % h = 0.0001 y1[1] (analytic) = 0.84236030917387122629898370997942 y1[1] (numeric) = 0.84236084114046492329185234846108 absolute error = 5.3196659369699286863848166e-07 relative error = 6.3151906364001045853195239562552e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3250.1MB, alloc=4.4MB, time=340.22 NO POLE NO POLE x[1] = 0.1584 y2[1] (analytic) = 1.9874809287467953854930436939482 y2[1] (numeric) = 1.9874441567800914072524818917703 absolute error = 3.67719667039782405618021779e-05 relative error = 0.0018501796003227450685382515920542 % h = 0.0001 y1[1] (analytic) = 0.84226156029246892903473139183285 y1[1] (numeric) = 0.84226209592678927041073079266803 absolute error = 5.3563432034137599940083518e-07 relative error = 6.3594772169749863725692330310673e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3253.9MB, alloc=4.4MB, time=340.48 memory used=3257.8MB, alloc=4.4MB, time=340.76 NO POLE NO POLE x[1] = 0.1585 y2[1] (analytic) = 1.9874651499654462825064122183375 y2[1] (numeric) = 1.9874281880528910740140176964161 absolute error = 3.69619125552084923945219214e-05 relative error = 0.0018597514807165854287936342420511 % h = 0.0001 y1[1] (analytic) = 0.84216281298845102753130278621438 y1[1] (numeric) = 0.84216335230945987473982170923214 absolute error = 5.3932100884720851892301776e-07 relative error = 6.4039993280326007474271861054652e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3261.6MB, alloc=4.4MB, time=341.04 NO POLE NO POLE x[1] = 0.1586 y2[1] (analytic) = 1.9874493613094456880941941646318 y2[1] (numeric) = 1.98741220879561138566339752993 absolute error = 3.71525138343024307966347018e-05 relative error = 0.00186935650072735552380322442617 % h = 0.0001 y1[1] (analytic) = 0.8420640672628049948280540139584 y1[1] (numeric) = 0.84206461028952969484111583578898 absolute error = 5.4302672470001306182183058e-07 relative error = 6.4487578298544887916420545304931e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3265.4MB, alloc=4.4MB, time=341.32 NO POLE NO POLE memory used=3269.2MB, alloc=4.4MB, time=341.59 x[1] = 0.1587 y2[1] (analytic) = 1.9874335627789514888162639048199 y2[1] (numeric) = 1.9873962190072648849449839463266 absolute error = 3.73437716866038712799584933e-05 relative error = 0.0018789947189171707236256393056134 % h = 0.0001 y1[1] (analytic) = 0.84196532311651828818062252105064 y1[1] (numeric) = 0.8419658698680517880231187419412 absolute error = 5.4675153349984249622089056e-07 relative error = 6.4937535844831746243760024597256e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3273.0MB, alloc=4.4MB, time=341.86 NO POLE NO POLE x[1] = 0.1588 y2[1] (analytic) = 1.9874177543741216699774317772605 y2[1] (numeric) = 1.9873802186868641303967327470172 absolute error = 3.75356872575395806990302433e-05 relative error = 0.0018886661938551682674703573564768 % h = 0.0001 y1[1] (analytic) = 0.84186658055057834905105250607995 y1[1] (numeric) = 0.84186713104607931033927196366115 absolute error = 5.5049550096128821945758120e-07 relative error = 6.5389874557232777630134069837190e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3276.8MB, alloc=4.4MB, time=342.13 NO POLE NO POLE x[1] = 0.1589 y2[1] (analytic) = 1.9874019360951143156258642336349 y2[1] (numeric) = 1.9873642078334216963600673954223 absolute error = 3.77282616926192657968382126e-05 relative error = 0.0018983709841175098476534270268544 % h = 0.0001 y1[1] (analytic) = 0.84176783956597260309792050562615 y1[1] (numeric) = 0.84176839382466551658637315024405 absolute error = 5.5425869291348845264461790e-07 relative error = 6.5844603091426261835192167253982e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3280.6MB, alloc=4.4MB, time=342.40 memory used=3284.5MB, alloc=4.4MB, time=342.67 NO POLE NO POLE x[1] = 0.159 y2[1] (analytic) = 1.9873861079420876085515029984672 y2[1] (numeric) = 1.9873481864459501729897532735489 absolute error = 3.79214961374355617497249183e-05 relative error = 0.0019081091482873841940403505303242 % h = 0.0001 y1[1] (analytic) = 0.84166910016368846016646113768246 y1[1] (numeric) = 0.84166965820486376030299522382768 absolute error = 5.5804117530013653408614522e-07 relative error = 6.6301730120733700808048373188961e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3288.3MB, alloc=4.4MB, time=342.94 NO POLE NO POLE x[1] = 0.1591 y2[1] (analytic) = 1.9873702699151998302844832412257 y2[1] (numeric) = 1.9873321545234621662637717804348 absolute error = 3.81153917376640207114607909e-05 relative error = 0.0019178807449550096589763243367949 % h = 0.0001 y1[1] (analytic) = 0.84157036234471331427869300321136 y1[1] (numeric) = 0.84157092418772749376790455149424 absolute error = 5.6184301417948921154828288e-07 relative error = 6.6761264336130963295597470729772e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3292.1MB, alloc=4.4MB, time=343.21 memory used=3295.9MB, alloc=4.4MB, time=343.49 NO POLE NO POLE x[1] = 0.1592 y2[1] (analytic) = 1.9873544220146093610935507610234 y2[1] (numeric) = 1.9873161120649702979931942723604 absolute error = 3.83099496390631003564886630e-05 relative error = 0.0019276858327176368027040182650509 % h = 0.0001 y1[1] (analytic) = 0.84147162611003454362354474593269 y1[1] (numeric) = 0.84147219177431026799847812997036 absolute error = 5.6566427572437493338403767e-07 relative error = 6.7223214446259436460073734770240e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3299.7MB, alloc=4.4MB, time=343.76 NO POLE NO POLE x[1] = 0.1593 y2[1] (analytic) = 1.9873385642404746799844781839314 y2[1] (numeric) = 1.9873000590694872058320558447298 absolute error = 3.85051709874741524223392016e-05 relative error = 0.0019375244701795509792690748561206 % h = 0.0001 y1[1] (analytic) = 0.84137289146063951054698127044256 y1[1] (numeric) = 0.84137346096566573274911978294092 absolute error = 5.6950502622220213851249836e-07 relative error = 6.7687589177437184510440834668944e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3303.5MB, alloc=4.4MB, time=344.03 memory used=3307.3MB, alloc=4.4MB, time=344.30 NO POLE NO POLE x[1] = 0.1594 y2[1] (analytic) = 1.9873226965929543646984801729226 y2[1] (numeric) = 1.9872839955360255432872289555223 absolute error = 3.87010569288214112512174003e-05 relative error = 0.0019473967159520749229135109694819 % h = 0.0001 y1[1] (analytic) = 0.8412741583975155615421301187619 y1[1] (numeric) = 0.84127473176284763650967537099269 absolute error = 5.7336533207496754525223079e-07 relative error = 6.8154397273670114352204648934704e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3311.2MB, alloc=4.4MB, time=344.57 NO POLE NO POLE x[1] = 0.1595 y2[1] (analytic) = 1.987306819072207091710627650461 y2[1] (numeric) = 1.9872679214635979797282968902155 absolute error = 3.88976086091119823307602455e-05 relative error = 0.0019573026286535713349572034799628 % h = 0.0001 y1[1] (analytic) = 0.84117542692165002723940800541348 y1[1] (numeric) = 0.84117600416690982650384701420346 absolute error = 5.7724525979926443900878998e-07 relative error = 6.8623647496663148260243962981233e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3315.0MB, alloc=4.4MB, time=344.84 memory used=3318.8MB, alloc=4.4MB, time=345.12 NO POLE NO POLE x[1] = 0.1596 y2[1] (analytic) = 1.9872909316783916362282610337524 y2[1] (numeric) = 1.9872518368512172003974270680809 absolute error = 3.90948271744358308339656715e-05 relative error = 0.0019672422669094454711676410400102 % h = 0.0001 y1[1] (analytic) = 0.84107669703403022239664751112591 y1[1] (numeric) = 0.84107727817890624868760632739269 absolute error = 5.8114487602629095881626678e-07 relative error = 6.9095348625831403579257341306191e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3322.6MB, alloc=4.4MB, time=345.38 NO POLE NO POLE x[1] = 0.1597 y2[1] (analytic) = 1.987275034411666872189402482672 y2[1] (numeric) = 1.9872357416978959064192441897545 absolute error = 3.92927137709657701582929175e-05 relative error = 0.001977215689352147729618123822978 % h = 0.0001 y1[1] (analytic) = 0.84097796873564344588922393526356 y1[1] (numeric) = 0.8409785537998909477476066680494 absolute error = 5.8506424750185838273278584e-07 relative error = 6.9569509458311379456427619467786e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3326.4MB, alloc=4.4MB, time=345.65 memory used=3330.2MB, alloc=4.4MB, time=345.94 NO POLE NO POLE x[1] = 0.1598 y2[1] (analytic) = 1.9872591272721917722611671603856 y2[1] (numeric) = 1.9872196360026468148107032259818 absolute error = 3.94912695449574504639344038e-05 relative error = 0.0019872229546211762390345934260547 % h = 0.0001 y1[1] (analytic) = 0.84087924202747698070018230708107 y1[1] (numeric) = 0.84087983103091806709959439695329 absolute error = 5.8900344108639941208987222e-07 relative error = 7.0046138808972150610908769851308e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3334.0MB, alloc=4.4MB, time=346.21 NO POLE NO POLE x[1] = 0.1599 y2[1] (analytic) = 1.9872432102601254078381735066802 y2[1] (numeric) = 1.9872035197644826584909622474405 absolute error = 3.96904956427493472112592397e-05 relative error = 0.0019972641213630794476312749165424 % h = 0.0001 y1[1] (analytic) = 0.84078051691051809391036455590107 y1[1] (numeric) = 0.84078110987304184888681915150491 absolute error = 5.9296252375497645459560384e-07 relative error = 7.0525245510426568144743127881190e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3337.9MB, alloc=4.4MB, time=346.48 NO POLE NO POLE x[1] = 0.16 y2[1] (analytic) = 1.9872272833756269490409525240183 y2[1] (numeric) = 1.9871873929824161862912550955403 absolute error = 3.98903932107627496974284780e-05 relative error = 0.0020073392482314587124353131726062 % h = 0.0001 y1[1] (analytic) = 0.84068179338575403668853684031401 y1[1] (numeric) = 0.8406823903273166339784431317808 absolute error = 5.9694156259728990629146679e-07 relative error = 7.1006838413042467399820193321966e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3341.7MB, alloc=4.4MB, time=346.75 memory used=3345.5MB, alloc=4.4MB, time=347.02 NO POLE NO POLE x[1] = 0.1601 y2[1] (analytic) = 1.9872113466188556647143560763349 y2[1] (numeric) = 1.9871712556554601629647638941027 absolute error = 4.00909633955017495921822322e-05 relative error = 0.0020174483938869708891005857766533 % h = 0.0001 y1[1] (analytic) = 0.84058307145417204428151703649875 y1[1] (numeric) = 0.8405836723947968619679493993295 absolute error = 6.0094062481768643236283075e-07 relative error = 7.1490926384953882865491500531065e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3349.3MB, alloc=4.4MB, time=347.29 NO POLE NO POLE x[1] = 0.1602 y2[1] (analytic) = 1.9871953999899709224259642005895 y2[1] (numeric) = 1.9871551077826273691964914018206 absolute error = 4.02922073435532294727987689e-05 relative error = 0.002027591616997330922210874585033 % h = 0.0001 y1[1] (analytic) = 0.84048435111675933600430238576258 y1[1] (numeric) = 0.84048495607653707117154918872437 absolute error = 6.0495977773516724680296179e-07 relative error = 7.1977518312072270141459308270046e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3353.1MB, alloc=4.4MB, time=347.56 memory used=3356.9MB, alloc=4.4MB, time=347.83 NO POLE NO POLE x[1] = 0.1603 y2[1] (analytic) = 1.9871794434891321884644914310919 y2[1] (numeric) = 1.9871389493629306016131332054003 absolute error = 4.04941262015868513582256916e-05 relative error = 0.0020377689762373144360725783306287 % h = 0.0001 y1[1] (analytic) = 0.84038563237450311523019730139948 y1[1] (numeric) = 0.84038624137359189862658823188911 absolute error = 6.0899908878339639093048963e-07 relative error = 7.2466623098097734960560093921395e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3360.8MB, alloc=4.4MB, time=348.11 NO POLE NO POLE x[1] = 0.1604 y2[1] (analytic) = 1.9871634771164990278381921366167 y2[1] (numeric) = 1.9871227803953826727929497532862 absolute error = 4.06967211163550452423833305e-05 relative error = 0.0020479805302887603259971485811245 % h = 0.0001 y1[1] (analytic) = 0.84028691522839056938094133496531 y1[1] (numeric) = 0.84028752828701608008995209521195 absolute error = 6.1305862551070901076024664e-07 relative error = 7.2958249664530269276067120072169e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3364.6MB, alloc=4.4MB, time=348.38 memory used=3368.4MB, alloc=4.4MB, time=348.66 NO POLE NO POLE x[1] = 0.1605 y2[1] (analytic) = 1.9871475008722311042732648703217 y2[1] (numeric) = 1.98710660087899641127563822987 absolute error = 4.08999932346929976266404517e-05 relative error = 0.0020582263378405733500734313620754 % h = 0.0001 y1[1] (analytic) = 0.84018819967940886991683730206863 y1[1] (numeric) = 0.84018881681786445003647052946443 absolute error = 6.1713845558011963322739580e-07 relative error = 7.3452406950680994418139596106690e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3372.2MB, alloc=4.4MB, time=348.93 NO POLE NO POLE x[1] = 0.1606 y2[1] (analytic) = 1.9871315147564881802122557324871 y2[1] (numeric) = 1.9870904108127846615722042700854 absolute error = 4.11039437035186400514624017e-05 relative error = 0.0020685064575887267214300969264776 % h = 0.0001 y1[1] (analytic) = 0.8400894857285451723268795677759 y1[1] (numeric) = 0.84009010696719194165732083254074 absolute error = 6.2123864676933044126476484e-07 relative error = 7.3949103913683411324049221754816e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3376.0MB, alloc=4.4MB, time=349.21 memory used=3379.8MB, alloc=4.4MB, time=349.48 NO POLE NO POLE x[1] = 0.1607 y2[1] (analytic) = 1.9871155187694301168124607460921 y2[1] (numeric) = 1.9870742101957602841748335142901 absolute error = 4.13085736698326376272318020e-05 relative error = 0.0020788209482362647009883401439553 % h = 0.0001 y1[1] (analytic) = 0.83999077337678661611888249172978 y1[1] (numeric) = 0.8399913987360535868584302250336 absolute error = 6.2535926697073954773330382e-07 relative error = 7.4448349528504657846818171099769e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3383.6MB, alloc=4.4MB, time=349.75 NO POLE NO POLE x[1] = 0.1608 y2[1] (analytic) = 1.9870995129112168739443272452423 y2[1] (numeric) = 1.9870579990269361555667630033353 absolute error = 4.15138842807183775642419070e-05 relative error = 0.0020891698684933051907050339489659 % h = 0.0001 y1[1] (analytic) = 0.8398920626251203248096090330792 y1[1] (numeric) = 0.83989269212550451625887723866263 absolute error = 6.2950038419144926820558343e-07 relative error = 7.4950152787956773146905847223754e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3387.5MB, alloc=4.4MB, time=350.03 memory used=3391.3MB, alloc=4.4MB, time=350.31 NO POLE NO POLE x[1] = 0.1609 y2[1] (analytic) = 1.9870834971820085101898542764675 y2[1] (numeric) = 1.9870417773053251682321524137256 absolute error = 4.17198766833419577018627419e-05 relative error = 0.0020995532770770423273065185103671 % h = 0.0001 y1[1] (analytic) = 0.83979335347453340591489951531993 y1[1] (numeric) = 0.83979398713659995918929211757121 absolute error = 6.3366206655327439260225128e-07 relative error = 7.5454522702707969171585008269253e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3395.1MB, alloc=4.4MB, time=350.57 NO POLE NO POLE x[1] = 0.161 y2[1] (analytic) = 1.9870674715819651828409920129024 y2[1] (numeric) = 1.9870255450299402306659551327687 absolute error = 4.19265520249521750368801337e-05 relative error = 0.0021099712327117490765132086503691 % h = 0.0001 y1[1] (analytic) = 0.83969464592601295093980055114447 y1[1] (numeric) = 0.83969528377039524369025623250783 absolute error = 6.3784438229275045568136336e-07 relative error = 7.5961468301293909226651129262230e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3398.9MB, alloc=4.4MB, time=350.84 NO POLE NO POLE memory used=3402.7MB, alloc=4.4MB, time=351.12 x[1] = 0.1611 y2[1] (analytic) = 1.9870514361112471478980401813684 y2[1] (numeric) = 1.9870093021997942673837891736179 absolute error = 4.21339114528805142510077505e-05 relative error = 0.0021204237941287798277552021934241 % h = 0.0001 y1[1] (analytic) = 0.83959593998054603536869412739974 y1[1] (numeric) = 0.8395965820279457965107005079079 absolute error = 6.4204739976114200638050816e-07 relative error = 7.6470998630128993645112177741754e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3406.5MB, alloc=4.4MB, time=351.39 NO POLE NO POLE x[1] = 0.1612 y2[1] (analytic) = 1.9870353907700147600680455023727 y2[1] (numeric) = 1.9869930488139002189318079301077 absolute error = 4.23419561145411362375722650e-05 relative error = 0.0021309110200665729893790720077154 % h = 0.0001 y1[1] (analytic) = 0.83949723563911971865542685025152 y1[1] (numeric) = 0.83949788191030714310630286189211 absolute error = 6.4627118742445087601164059e-07 relative error = 7.6983122753517652557509218860689e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3410.3MB, alloc=4.4MB, time=351.66 NO POLE NO POLE x[1] = 0.1613 y2[1] (analytic) = 1.9870193355584284727631981430382 y2[1] (numeric) = 1.986976784871271041896570771284 absolute error = 4.25506871574308666273717542e-05 relative error = 0.0021414329692706535843460243525331 % h = 0.0001 y1[1] (analytic) = 0.8393985329027210442134393506542 y1[1] (numeric) = 0.83939918341853490763788465919729 absolute error = 6.5051581386342444530854309e-07 relative error = 7.7497849753665645768521577181394e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3414.2MB, alloc=4.4MB, time=351.94 memory used=3418.0MB, alloc=4.4MB, time=352.22 NO POLE NO POLE x[1] = 0.1614 y2[1] (analytic) = 1.9870032704766488380992271829836 y2[1] (numeric) = 1.9869605103709197089149134755302 absolute error = 4.27601057291291843137074534e-05 relative error = 0.0021519897004936358464216064987242 % h = 0.0001 y1[1] (analytic) = 0.83929983177233703940589585022461 y1[1] (numeric) = 0.83930048655368481296980617705585 absolute error = 6.5478134777356391032683124e-07 relative error = 7.8015188730691369744513557168095e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3421.8MB, alloc=4.4MB, time=352.49 NO POLE NO POLE x[1] = 0.1615 y2[1] (analytic) = 1.9869871955248365068937950931671 y2[1] (numeric) = 1.9869442253118592086838185041907 absolute error = 4.29702129772982099765889764e-05 relative error = 0.0021625812724952258168571463243216 % h = 0.0001 y1[1] (analytic) = 0.8392011322489547155358138876186 y1[1] (numeric) = 0.83920179131681268066836108403982 absolute error = 6.5906785796513254719642122e-07 relative error = 7.8535148802637171716683015952153e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3425.6MB, alloc=4.4MB, time=352.76 memory used=3429.4MB, alloc=4.4MB, time=353.03 NO POLE NO POLE x[1] = 0.1616 y2[1] (analytic) = 1.9869711107031522286648912277113 y2[1] (numeric) = 1.9869279296931025459702851145928 absolute error = 4.31810100496826946061131185e-05 relative error = 0.0021732077440422239415631068709434 % h = 0.0001 y1[1] (analytic) = 0.83910243433356106783619420550906 y1[1] (numeric) = 0.83910309770897443100016993188558 absolute error = 6.6337541336316397572637652e-07 relative error = 7.9057739105480670904475377227397e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3433.2MB, alloc=4.4MB, time=353.31 NO POLE NO POLE x[1] = 0.1617 y2[1] (analytic) = 1.9869550160117568516292243287246 y2[1] (numeric) = 1.9869116235136627416211993123686 absolute error = 4.33924980941100080250163560e-05 relative error = 0.0021838691739085276687745387475817 % h = 0.0001 y1[1] (analytic) = 0.8390037380271430754601507982642 y1[1] (numeric) = 0.83900440573122608293057266031528 absolute error = 6.6770408300747042186205108e-07 relative error = 7.9582968793146086863929940750627e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3437.0MB, alloc=4.4MB, time=353.58 memory used=3440.9MB, alloc=4.4MB, time=353.86 NO POLE NO POLE x[1] = 0.1618 y2[1] (analytic) = 1.9869389114508113227006140441355 y2[1] (numeric) = 1.9868953067725528325732036429778 absolute error = 4.36046782584901274104011577e-05 relative error = 0.0021945656208751340472088134059842 % h = 0.0001 y1[1] (analytic) = 0.83890504333068770147104112042456 y1[1] (numeric) = 0.83890571538462375412202011487112 absolute error = 6.7205393605265097899444656e-07 relative error = 8.0110847037515574965628698236603e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3444.7MB, alloc=4.4MB, time=354.13 NO POLE NO POLE x[1] = 0.1619 y2[1] (analytic) = 1.9869227970204766874883814585555 y2[1] (numeric) = 1.9868789794687858718625668223331 absolute error = 4.38175516908156258146362224e-05 relative error = 0.0022052971437301423247158202833525 % h = 0.0001 y1[1] (analytic) = 0.83880635024518189283259645607774 y1[1] (numeric) = 0.83880702667022366093246457777848 absolute error = 6.7642504176809986812170074e-07 relative error = 8.0641383028440569006921079887675e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3448.5MB, alloc=4.4MB, time=354.40 memory used=3452.3MB, alloc=4.4MB, time=354.67 NO POLE NO POLE x[1] = 0.162 y2[1] (analytic) = 1.9869066727209140902957386371875 y2[1] (numeric) = 1.9868626416013749286350532064292 absolute error = 4.40311195391616606854307583e-05 relative error = 0.0022160638012687565474208109507404 % h = 0.0001 y1[1] (analytic) = 0.83870765877161258039905244922922 y1[1] (numeric) = 0.83870833958908211841374931185405 absolute error = 6.8081746953801469686262483e-07 relative error = 8.1174585973753130963101448140693e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3456.1MB, alloc=4.4MB, time=354.95 NO POLE NO POLE x[1] = 0.1621 y2[1] (analytic) = 1.986890538552284774118177182795 y2[1] (numeric) = 1.9868462931693330881557920998771 absolute error = 4.42453829516859623850829179e-05 relative error = 0.0022268656522932881593600733368332 % h = 0.0001 y1[1] (analytic) = 0.83860896891096667890527979526832 y1[1] (numeric) = 0.83860965414225554030999711747505 absolute error = 6.8523128886140471732220673e-07 relative error = 8.1710465099277307882219368922130e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3459.9MB, alloc=4.4MB, time=355.22 memory used=3463.7MB, alloc=4.4MB, time=355.50 NO POLE NO POLE x[1] = 0.1622 y2[1] (analytic) = 1.9868743945147500806418558057484 y2[1] (numeric) = 1.9868299341716734518191469032444 absolute error = 4.44603430766288227089025040e-05 relative error = 0.002237702755613158602609619244519 % h = 0.0001 y1[1] (analytic) = 0.83851028066423108695691509362765 y1[1] (numeric) = 0.83851097033080043905599790262568 absolute error = 6.8966656935209908280899803e-07 relative error = 8.2249029648840495928206084535571e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3467.6MB, alloc=4.4MB, time=355.77 NO POLE NO POLE x[1] = 0.1623 y2[1] (analytic) = 1.9868582406084714502419869071648 y2[1] (numeric) = 1.9868135646074091371585840991035 absolute error = 4.46760010623130834028080613e-05 relative error = 0.0022485751700449019179070683693954 % h = 0.0001 y1[1] (analytic) = 0.838411594032392687020491861735 y1[1] (numeric) = 0.83841228815577342577559526603686 absolute error = 6.9412338073875510340430186e-07 relative error = 8.2790288884284811577003838197059e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3471.4MB, alloc=4.4MB, time=356.04 NO POLE NO POLE x[1] = 0.1624 y2[1] (analytic) = 1.9868420768336104219812221751574 memory used=3475.2MB, alloc=4.4MB, time=356.30 y2[1] (numeric) = 1.9867971844755532778565420766889 absolute error = 4.48923580571441246800984685e-05 relative error = 0.0022594829544121673457669120965976 % h = 0.0001 y1[1] (analytic) = 0.83831290901643834541357171035623 y1[1] (numeric) = 0.83831360761823121028007209343543 absolute error = 6.9860179286486650038307920e-07 relative error = 8.3334252085478469970388069324489e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3479.0MB, alloc=4.4MB, time=356.58 NO POLE NO POLE x[1] = 0.1625 y2[1] (analytic) = 1.98682590319032863360803719421 y2[1] (numeric) = 1.9867807937751190237542997950643 absolute error = 4.51094152096098537373991457e-05 relative error = 0.0022704261675457219280893403944378 % h = 0.0001 y1[1] (analytic) = 0.83821422561735491229487568042786 y1[1] (numeric) = 0.83821492871923060106653516691903 absolute error = 7.0310187568877165948649117e-07 relative error = 8.3880928550327170432175799981725e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3482.8MB, alloc=4.4MB, time=356.85 NO POLE NO POLE x[1] = 0.1626 y2[1] (analytic) = 1.9868097196787878215551150676937 y2[1] (numeric) = 1.9867643925051195408618452847017 absolute error = 4.53271736682806932697829920e-05 relative error = 0.0022814048682834531102628151755257 % h = 0.0001 y1[1] (analytic) = 0.8381155438361292216544157414781 y1[1] (numeric) = 0.83811625145982850531629878747264 absolute error = 7.0762369928366188304599454e-07 relative error = 8.4430327594785489151516814021737e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3486.6MB, alloc=4.4MB, time=357.13 memory used=3490.5MB, alloc=4.4MB, time=357.40 NO POLE NO POLE x[1] = 0.1627 y2[1] (analytic) = 1.9867935262991498209377290535417 y2[1] (numeric) = 1.9867479806645680113677439873734 absolute error = 4.55456345818095699850661683e-05 relative error = 0.00229241911547037134376057354825 % h = 0.0001 y1[1] (analytic) = 0.83801686367374809130362645173494 y1[1] (numeric) = 0.83801757584108192889326741064313 absolute error = 7.1216733383758964095890819e-07 relative error = 8.4982458552868279037967605997440e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3494.3MB, alloc=4.4MB, time=357.68 NO POLE NO POLE x[1] = 0.1628 y2[1] (analytic) = 1.9867773230515765655521242130975 y2[1] (numeric) = 1.986731558252477633649006934258 absolute error = 4.57647990989319031172788395e-05 relative error = 0.0023034689679586126892312443884258 % h = 0.0001 y1[1] (analytic) = 0.83791818513119832286549678002003 y1[1] (numeric) = 0.83791890186404797634231729538787 absolute error = 7.1673284965347682051536784e-07 relative error = 8.5537330776662076753051347620836e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3498.1MB, alloc=4.4MB, time=357.95 memory used=3501.9MB, alloc=4.4MB, time=358.23 NO POLE NO POLE x[1] = 0.1629 y2[1] (analytic) = 1.9867611099362300878738980731542 y2[1] (numeric) = 1.9867151252678616222809587621621 absolute error = 4.59846683684655929393109921e-05 relative error = 0.002314554484607441420083761798721 % h = 0.0001 y1[1] (analytic) = 0.83781950820946670176470208952703 y1[1] (numeric) = 0.83782022952978385088767716611362 absolute error = 7.2132031714912297507658659e-07 relative error = 8.6094953636336516923010467943016e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3505.7MB, alloc=4.4MB, time=358.50 NO POLE NO POLE x[1] = 0.163 y2[1] (analytic) = 1.9867448869532725190563803011996 y2[1] (numeric) = 1.9866986817097332080471055677588 absolute error = 4.62052435393110092747334408e-05 relative error = 0.0023256757242832526265667589499116 % h = 0.0001 y1[1] (analytic) = 0.83772083290953999721773628358307 y1[1] (numeric) = 0.8377215588393468544313078879219 absolute error = 7.2592980685721357160433883e-07 relative error = 8.6655336520155753537461770511952e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3509.5MB, alloc=4.4MB, time=358.78 memory used=3513.3MB, alloc=4.4MB, time=359.06 NO POLE NO POLE x[1] = 0.1631 y2[1] (analytic) = 1.986728654102866088929011393884 y2[1] (numeric) = 1.9866822275771056379490025997446 absolute error = 4.64265257604509800087941394e-05 relative error = 0.0023368327458595748203426259308299 % h = 0.0001 y1[1] (analytic) = 0.83762215923240496222304411349202 y1[1] (numeric) = 0.83762288979379438755128115507707 absolute error = 7.3056138942532823704158505e-07 relative error = 8.7218488834489888538667334423497e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3517.2MB, alloc=4.4MB, time=359.33 NO POLE NO POLE x[1] = 0.1632 y2[1] (analytic) = 1.9867124113851731259957203787281 y2[1] (numeric) = 1.9866657628689921752161217888152 absolute error = 4.66485161809507795985899129e-05 relative error = 0.0023480256082170725395564153616747 % h = 0.0001 y1[1] (analytic) = 0.83752348717904833355115364855829 y1[1] (numeric) = 0.83752422239418394950015719271325 absolute error = 7.3521513561594900354415496e-07 relative error = 8.7784420003826407606137761632779e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3521.0MB, alloc=4.4MB, time=359.60 memory used=3524.8MB, alloc=4.4MB, time=359.89 NO POLE NO POLE x[1] = 0.1633 y2[1] (analytic) = 1.9866961588003560574333015290838 y2[1] (numeric) = 1.986649287584406099315719115363 absolute error = 4.68712159499581175824137208e-05 relative error = 0.0023592543702435489543997792253474 % h = 0.0001 y1[1] (analytic) = 0.83742481675045683173480890838975 y1[1] (numeric) = 0.8374255566415731382033614717964 absolute error = 7.3989111630646855256340665e-07 relative error = 8.8353139470781623141287703416972e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3528.6MB, alloc=4.4MB, time=360.15 NO POLE NO POLE x[1] = 0.1634 y2[1] (analytic) = 1.9866798963485774090897900923686 y2[1] (numeric) = 1.9866328017223607059627018147962 absolute error = 4.70946262167031270882775724e-05 relative error = 0.0023705190908339484731701209623834 % h = 0.0001 y1[1] (analytic) = 0.83732614794761716105910265757853 y1[1] (numeric) = 0.83732689253701965025756043735772 absolute error = 7.4458940248919845777977919e-07 relative error = 8.8924656696112124456866894363812e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3532.4MB, alloc=4.4MB, time=360.42 NO POLE NO POLE memory used=3536.2MB, alloc=4.4MB, time=360.70 x[1] = 0.1635 y2[1] (analytic) = 1.9866636240299998054828370315863 y2[1] (numeric) = 1.9866163052818693071294954203814 absolute error = 4.73187481304983533416112049e-05 relative error = 0.00238181982889035934882514641905 % h = 0.0001 y1[1] (analytic) = 0.83722748077151600955160936285829 y1[1] (numeric) = 0.83722823008158128092903625001465 absolute error = 7.4931006527137742688715636e-07 relative error = 8.9498981158726235175893294305233e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3540.0MB, alloc=4.4MB, time=360.97 NO POLE NO POLE x[1] = 0.1636 y2[1] (analytic) = 1.9866473418447859697980827801515 y2[1] (numeric) = 1.9865997982619452310559106435111 absolute error = 4.75435828407387421721366404e-05 relative error = 0.0023931566433220162860329975522965 % h = 0.0001 y1[1] (analytic) = 0.83712881522314004897251831283674 y1[1] (numeric) = 0.83712956927631592415206054079574 absolute error = 7.5405317587517954222795900e-07 relative error = 9.0076122355695477844818254715181e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3543.9MB, alloc=4.4MB, time=361.24 NO POLE NO POLE x[1] = 0.1637 y2[1] (analytic) = 1.9866310497930987238875300100351 y2[1] (numeric) = 1.9865832806616018222590100912975 absolute error = 4.77691314969016285199187376e-05 relative error = 0.002404529593045303048718152827515 % h = 0.0001 y1[1] (analytic) = 0.83703015130347593480476690040192 y1[1] (numeric) = 0.83703091012228157252726717928557 absolute error = 7.5881880563772250027888365e-07 relative error = 9.0656089802266045765656990117257e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3547.7MB, alloc=4.4MB, time=361.50 memory used=3551.5MB, alloc=4.4MB, time=361.78 NO POLE NO POLE x[1] = 0.1638 y2[1] (analytic) = 1.9866147478751009882679154132452 y2[1] (numeric) = 1.9865667524798524415429748213936 absolute error = 4.79953952485467249405918516e-05 relative error = 0.0024159387369837550681032781716579 % h = 0.0001 y1[1] (analytic) = 0.8369314890135103062441740679011 y1[1] (numeric) = 0.83693225262053631732002405510609 absolute error = 7.6360702601107584998720499e-07 relative error = 9.1238893031870282051820961028255e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3555.3MB, alloc=4.4MB, time=362.05 NO POLE NO POLE x[1] = 0.1639 y2[1] (analytic) = 1.9865984360909557821190804966614 y2[1] (numeric) = 1.9865502137157104660089707339432 absolute error = 4.82223752453161101097627182e-05 relative error = 0.0024273841340680620512472125426718 % h = 0.0001 y1[1] (analytic) = 0.83683282835422978618957391519076 y1[1] (numeric) = 0.83683359677213834845880387275062 absolute error = 7.6841790856226922995755986e-07 relative error = 9.1824541596138165912392154865899e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3559.1MB, alloc=4.4MB, time=362.31 memory used=3562.9MB, alloc=4.4MB, time=362.59 NO POLE NO POLE x[1] = 0.164 y2[1] (analytic) = 1.9865821144408262232823413902376 y2[1] (numeric) = 1.9865336643681892890650148005609 absolute error = 4.84500726369342173265896767e-05 relative error = 0.0024388658432360705900792721028353 % h = 0.0001 y1[1] (analytic) = 0.8367341693266209812329494706565 y1[1] (numeric) = 0.83673494257814595453355395978679 absolute error = 7.7325152497330060448913029e-07 relative error = 9.2413045064908806169582559647718e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3566.7MB, alloc=4.4MB, time=362.86 NO POLE NO POLE x[1] = 0.1641 y2[1] (analytic) = 1.98656578292487552825885766859 y2[1] (numeric) = 1.9865171044363023204358411302439 absolute error = 4.86784885732078230165383461e-05 relative error = 0.0024503839234327867709300570763352 % h = 0.0001 y1[1] (analytic) = 0.83663551193167048164956662530143 y1[1] (numeric) = 0.83663629003961752279406508844473 absolute error = 7.7810794704114449846314330e-07 relative error = 9.3004413026241942014125517502363e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3570.6MB, alloc=4.4MB, time=363.13 memory used=3574.4MB, alloc=4.4MB, time=363.41 NO POLE NO POLE x[1] = 0.1642 y2[1] (analytic) = 1.9865494415432670122080001859874 y2[1] (numeric) = 1.9865005339190629861727668721162 absolute error = 4.89076242040260352333138712e-05 relative error = 0.0024619384336103787845589454994309 % h = 0.0001 y1[1] (analytic) = 0.83653685617036486138810823000175 y1[1] (numeric) = 0.83653763915761153914833931060684 absolute error = 7.8298724667776023108060509e-07 relative error = 9.3598655086429451003348983630877e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3578.2MB, alloc=4.4MB, time=363.69 NO POLE NO POLE x[1] = 0.1643 y2[1] (analytic) = 1.9865330902961640889457179247582 y2[1] (numeric) = 1.9864839528154847286635579549075 absolute error = 4.91374806793602821599698507e-05 relative error = 0.0024735294327281795366784578975583 % h = 0.0001 y1[1] (analytic) = 0.83643820204369067806080835602809 y1[1] (numeric) = 0.83643898993318658816095680621545 absolute error = 7.8788949591010014845018736e-07 relative error = 9.4195780870006864306684088604432e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3582.0MB, alloc=4.4MB, time=363.95 memory used=3585.8MB, alloc=4.4MB, time=364.23 NO POLE NO POLE x[1] = 0.1644 y2[1] (analytic) = 1.9865167291837302709429038571329 y2[1] (numeric) = 1.986467361124581006642294663067 absolute error = 4.93680591492643006091940659e-05 relative error = 0.002485156979752689258975677298428 % h = 0.0001 y1[1] (analytic) = 0.83633954955263447293358671893144 y1[1] (numeric) = 0.83634034236740135305144174511468 absolute error = 7.9281476688011785502618324e-07 relative error = 9.4795800019764889203365731281502e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3589.6MB, alloc=4.4MB, time=364.50 NO POLE NO POLE x[1] = 0.1645 y2[1] (analytic) = 1.986500358206129169323759820536 y2[1] (numeric) = 1.9864507588453652951992370494146 absolute error = 4.95993607638741245227711214e-05 relative error = 0.0024968211336575781206309086752746 % h = 0.0001 y1[1] (analytic) = 0.83624089869818277091618326589215 y1[1] (numeric) = 0.83624169646131461569262716234288 absolute error = 7.9776313184477644389645073e-07 relative error = 9.5398722196760938837085342877785e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3593.5MB, alloc=4.4MB, time=364.77 memory used=3597.3MB, alloc=4.4MB, time=365.05 NO POLE NO POLE x[1] = 0.1646 y2[1] (analytic) = 1.9864839773635244938641604063456 y2[1] (numeric) = 1.9864341459768510857906901842301 absolute error = 4.98313866734080734702221155e-05 relative error = 0.0025085219534236888403337622790855 % h = 0.0001 y1[1] (analytic) = 0.83614224948132208055229292663078 y1[1] (numeric) = 0.83614305221598525660901884689197 absolute error = 8.0273466317605672592026119e-07 relative error = 9.6004557080330669232359285312829e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3601.1MB, alloc=4.4MB, time=365.32 NO POLE NO POLE x[1] = 0.1647 y2[1] (analytic) = 1.9864675866560800529900158621361 y2[1] (numeric) = 1.9864175225180518862488692406817 absolute error = 5.00641380281667411466214544e-05 relative error = 0.0025202594980390392987968451849974 % h = 0.0001 y1[1] (analytic) = 0.83604360190303889400970052797932 y1[1] (numeric) = 0.83604440963247225497515824395005 absolute error = 8.0772943336096545771597073e-07 relative error = 9.6613314368099523577379752216480e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3604.9MB, alloc=4.4MB, time=365.59 NO POLE NO POLE memory used=3608.7MB, alloc=4.4MB, time=365.86 x[1] = 0.1648 y2[1] (analytic) = 1.9864511860839597537756340074202 y2[1] (numeric) = 1.9864008884679812207917644164958 absolute error = 5.02976159785329838695909244e-05 relative error = 0.0025320338264988251517672454306645 % h = 0.0001 y1[1] (analytic) = 0.83594495596431968707041587221161 y1[1] (numeric) = 0.83594576871183468861398437064369 absolute error = 8.1274751500154356849843208e-07 relative error = 9.7225003775994283778118379471088e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3612.5MB, alloc=4.4MB, time=366.14 NO POLE NO POLE x[1] = 0.1649 y2[1] (analytic) = 1.9864347756473276019420811629075 y2[1] (numeric) = 1.9863842438256526300330056917689 absolute error = 5.05318216749719090754711386e-05 relative error = 0.0025438449978054224435359932877964 % h = 0.0001 y1[1] (analytic) = 0.83584631166615091912080897923145 y1[1] (numeric) = 0.83584712945513173399519474529619 absolute error = 8.1778898081487438576606474e-07 relative error = 9.7839635038254629288456171826236e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3616.3MB, alloc=4.4MB, time=366.40 NO POLE NO POLE x[1] = 0.165 y2[1] (analytic) = 1.9864183553463477018555420932949 y2[1] (numeric) = 1.9863675885900796709917274228229 absolute error = 5.07667562680308638146704720e-05 relative error = 0.0025556930709683902209456841248071 % h = 0.0001 y1[1] (analytic) = 0.83574766900951903314174549271711 y1[1] (numeric) = 0.8357484918634226662336053302183 absolute error = 8.2285390363309185983750119e-07 relative error = 9.8457217907444703221116725675865e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3620.2MB, alloc=4.4MB, time=366.67 memory used=3624.0MB, alloc=4.4MB, time=366.95 NO POLE NO POLE x[1] = 0.1651 y2[1] (analytic) = 1.9864019251811842565256789636065 y2[1] (numeric) = 1.9863509227602759171024327720058 absolute error = 5.10024209083394232461916007e-05 relative error = 0.0025675781050044731478964474567799 % h = 0.0001 y1[1] (analytic) = 0.83564902799541045569872225032089 y1[1] (numeric) = 0.83564985593776685908750948804774 absolute error = 8.2794235640338878723772685e-07 relative error = 9.9077762154464685744183095844884e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3627.8MB, alloc=4.4MB, time=367.22 NO POLE NO POLE x[1] = 0.1652 y2[1] (analytic) = 1.9863854851520015676039893090978 y2[1] (numeric) = 1.9863342463352549582248579733383 absolute error = 5.12388167466093791313357595e-05 relative error = 0.0025795001589376041203504467561424 % h = 0.0001 y1[1] (analytic) = 0.8355503886248115969320030180224 y1[1] (numeric) = 0.83555122167922378495703595165393 absolute error = 8.3305441218802503293363153e-07 relative error = 9.9701277568562374767982041318947e-05 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3631.6MB, alloc=4.4MB, time=367.49 memory used=3635.4MB, alloc=4.4MB, time=367.78 NO POLE NO POLE x[1] = 0.1653 y2[1] (analytic) = 1.9863690352589640353821630187426 y2[1] (numeric) = 1.9863175593140304006538364339081 absolute error = 5.14759449336347283265848345e-05 relative error = 0.0025914592917989068818350947609231 % h = 0.0001 y1[1] (analytic) = 0.83545175089870885054675438873412 y1[1] (numeric) = 0.83545258908885301488250580762439 absolute error = 8.3819014416433575141889027e-07 relative error = 0.0001003277739573447739271227876982 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3639.2MB, alloc=4.4MB, time=368.05 NO POLE NO POLE x[1] = 0.1654 y2[1] (analytic) = 1.9863525755022361587904383323172 y2[1] (numeric) = 1.9863008616956158671291626709136 absolute error = 5.17138066202916612756614036e-05 relative error = 0.0026034555626266986394451688789019 % h = 0.0001 y1[1] (analytic) = 0.83535311481808859380318184525794 y1[1] (numeric) = 0.83535395816771421854278849334924 absolute error = 8.4334962562473960664809130e-07 relative error = 0.00010095726114678968786248081010877 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3643.0MB, alloc=4.4MB, time=368.32 memory used=3646.9MB, alloc=4.4MB, time=368.60 NO POLE NO POLE x[1] = 0.1655 y2[1] (analytic) = 1.9863361058819825353959568510995 y2[1] (numeric) = 1.9862841534790249968454560842576 absolute error = 5.19524029575385505007668419e-05 relative error = 0.0026154890304664926803440115401026 % h = 0.0001 y1[1] (analytic) = 0.83525448038393718750666598769137 y1[1] (numeric) = 0.83525532891686716425365680772014 absolute error = 8.4853292997674699082002877e-07 relative error = 0.00010158974898125732480792051960403 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3650.7MB, alloc=4.4MB, time=368.88 NO POLE NO POLE x[1] = 0.1656 y2[1] (analytic) = 1.9863196263983678614011175621989 y2[1] (numeric) = 1.9862674346632714454620245645928 absolute error = 5.21917350964159390929976061e-05 relative error = 0.0026275597543710009887640002518265 % h = 0.0001 y1[1] (analytic) = 0.83515584759724097599789892538191 y1[1] (numeric) = 0.83515670133737171896614093546028 absolute error = 8.5374013074296824201007837e-07 relative error = 0.00010222524732350190648655418382599 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3654.5MB, alloc=4.4MB, time=369.14 memory used=3658.3MB, alloc=4.4MB, time=369.42 NO POLE NO POLE x[1] = 0.1657 y2[1] (analytic) = 1.9863031370515569316419298765338 y2[1] (numeric) = 1.9862507052473688851127279367207 absolute error = 5.24318041880465292019398131e-05 relative error = 0.0026396677934001368635064722135764 % h = 0.0001 y1[1] (analytic) = 0.83505721645898628714302083352837 y1[1] (numeric) = 0.83505807543028784826488148510175 absolute error = 8.5897130156112186065157338e-07 relative error = 0.00010286376605468328532133773735139 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3662.1MB, alloc=4.4MB, time=369.71 NO POLE NO POLE x[1] = 0.1658 y2[1] (analytic) = 1.9862866378417146395863656804727 y2[1] (numeric) = 1.9862339652303310044158412382446 absolute error = 5.26726113836351705244422281e-05 relative error = 0.0026518132066210175359412884020403 % h = 0.0001 y1[1] (analytic) = 0.83495858697015943232375667452769 y1[1] (numeric) = 0.83495945119667561636648154062683 absolute error = 8.6422651618404272486609914e-07 relative error = 0.0001035053150743785689648075876852 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3665.9MB, alloc=4.4MB, time=369.98 memory used=3669.7MB, alloc=4.4MB, time=370.25 NO POLE NO POLE x[1] = 0.1659 y2[1] (analytic) = 1.9862701287690059773327104011558 y2[1] (numeric) = 1.9862172146111715084839178333787 absolute error = 5.29141578344688487925677771e-05 relative error = 0.0026639960531079667885062220639781 % h = 0.0001 y1[1] (analytic) = 0.83485995913174670642755308416587 y1[1] (numeric) = 0.83486082863759518611785772678962 absolute error = 8.6950584847969030464262375e-07 relative error = 0.00010414990430059375215276590059866 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3673.6MB, alloc=4.4MB, time=370.52 NO POLE NO POLE x[1] = 0.166 y2[1] (analytic) = 1.9862536098335960356079130855139 y2[1] (numeric) = 1.9862004533889041189336523618144 absolute error = 5.31564446919166742607236995e-05 relative error = 0.0026762163919425175737063566429557 % h = 0.0001 y1[1] (analytic) = 0.83476133294473438783771542275181 y1[1] (numeric) = 0.8347622077541068189945902881346 absolute error = 8.7480937243115687486538279e-07 relative error = 0.00010479754366977535588672524798977 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3677.4MB, alloc=4.4MB, time=370.79 NO POLE NO POLE x[1] = 0.1661 y2[1] (analytic) = 1.9862370810356500037659354929999 y2[1] (numeric) = 1.9861836815625425738957435225451 absolute error = 5.33994731074298701919704548e-05 relative error = 0.0026884742822134146336136781281382 % h = 0.0001 y1[1] (analytic) = 0.83466270841010873842354499129237 y1[1] (numeric) = 0.83466358854727087509927218172848 absolute error = 8.8013716213667572719043611e-07 relative error = 0.00010544824313682207394992693707441 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3681.2MB, alloc=4.4MB, time=371.06 memory used=3685.0MB, alloc=4.4MB, time=371.34 NO POLE NO POLE x[1] = 0.1662 y2[1] (analytic) = 1.9862205423753331697861002020508 y2[1] (numeric) = 1.9861668991311006280247566925509 absolute error = 5.36432442325417613435094999e-05 relative error = 0.0027007697830166171198670469870805 % h = 0.0001 y1[1] (analytic) = 0.83456408552885600353047641280766 y1[1] (numeric) = 0.83456497101814781315985718362197 absolute error = 8.8548929180962938077081431e-07 relative error = 0.00010610201267509642676175069530777 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3688.8MB, alloc=4.4MB, time=371.61 NO POLE NO POLE x[1] = 0.1663 y2[1] (analytic) = 1.9862039938528109202714377302955 y2[1] (numeric) = 1.986150106093592052508986380245 absolute error = 5.38877592188677624513500505e-05 relative error = 0.0027131029534553012141727347413103 % h = 0.0001 y1[1] (analytic) = 0.83446546430196241197021517888487 y1[1] (numeric) = 0.83446635516779819052800700905794 absolute error = 8.9086583577855779183017307e-07 relative error = 0.00010675886227643642257533685982462 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3692.6MB, alloc=4.4MB, time=371.89 memory used=3696.4MB, alloc=4.4MB, time=372.16 NO POLE NO POLE x[1] = 0.1664 y2[1] (analytic) = 1.9861874354682487404470326685266 y2[1] (numeric) = 1.9861333024490306350803185135821 absolute error = 5.41330192181053667141549445e-05 relative error = 0.0027254738526398627493057105129253 % h = 0.0001 y1[1] (analytic) = 0.83436684473041417601087536156943 y1[1] (numeric) = 0.83436774099728266317743744644248 absolute error = 8.9626686848716656208487305e-07 relative error = 0.00010741880195116722602324557980093 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3700.3MB, alloc=4.4MB, time=372.43 NO POLE NO POLE x[1] = 0.1665 y2[1] (analytic) = 1.98617086722181221415836882845 y2[1] (numeric) = 1.9861164881964301800240925627317 absolute error = 5.43790253820341342762657183e-05 relative error = 0.0027378825396879198306118625659377 % h = 0.0001 y1[1] (analytic) = 0.83426822681519749136711749069211 y1[1] (numeric) = 0.83426912850766198570226350509545 absolute error = 9.0169246449433514601440334e-07 relative error = 0.00010808184172811283401598098621662 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3704.1MB, alloc=4.4MB, time=372.70 memory used=3707.9MB, alloc=4.4MB, time=372.98 NO POLE NO POLE x[1] = 0.1666 y2[1] (analytic) = 1.9861542891136670238696734042321 y2[1] (numeric) = 1.9860996633348045081889634972164 absolute error = 5.46257788625156807099070157e-05 relative error = 0.0027503290737243154580113403570888 % h = 0.0001 y1[1] (analytic) = 0.83416961055729853719028659673062 y1[1] (numeric) = 0.834170517699997011315343576797 absolute error = 9.0714269847412505698006638e-07 relative error = 0.00010874799165460775899821169386428 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3711.7MB, alloc=4.4MB, time=373.25 NO POLE NO POLE x[1] = 0.1667 y2[1] (analytic) = 1.9861377011439789506622601478587 y2[1] (numeric) = 1.986082827863167456996763577417 absolute error = 5.48732808114936654965704417e-05 relative error = 0.0027628135138811201485032022862677 % h = 0.0001 y1[1] (analytic) = 0.8340709959577034760585504193044 y1[1] (numeric) = 0.8340719085753486918466226111467 absolute error = 9.1261764521578807219184230e-07 relative error = 0.00010941726179650871956752242421348 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3715.5MB, alloc=4.4MB, time=373.52 memory used=3719.3MB, alloc=4.4MB, time=373.80 NO POLE NO POLE x[1] = 0.1668 y2[1] (analytic) = 1.9861211033129138742328715583233 y2[1] (numeric) = 1.9860659817805328804523639803461 absolute error = 5.51215323809937805075779772e-05 relative error = 0.0027753359192976345591715545709379 % h = 0.0001 y1[1] (analytic) = 0.83397238301739845396703778140112 y1[1] (numeric) = 0.83397330113477807774147430475177 absolute error = 9.1811737962377443652335065e-07 relative error = 0.00011008966223820633846053496293049 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3723.2MB, alloc=4.4MB, time=374.07 NO POLE NO POLE x[1] = 0.1669 y2[1] (analytic) = 1.9861044956206377728920200846608 y2[1] (numeric) = 1.9860491250859146491535362595911 absolute error = 5.53705347231237384838250697e-05 relative error = 0.002787896349120392110693366671669 % h = 0.0001 y1[1] (analytic) = 0.83387377173736960031797712943364 y1[1] (numeric) = 0.83387469537934631805904230426104 absolute error = 9.2364197671774106517482740e-07 relative error = 0.00011076520308263684791124008047625 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3727.0MB, alloc=4.4MB, time=374.34 memory used=3730.8MB, alloc=4.4MB, time=374.62 NO POLE NO POLE x[1] = 0.167 y2[1] (analytic) = 1.9860878780673167235623283428443 y2[1] (numeric) = 1.9860322577783266503008136393283 absolute error = 5.56202889900732615147035160e-05 relative error = 0.0028004948625031616113481487892195 % h = 0.0001 y1[1] (analytic) = 0.83377516211860302791083523922592 y1[1] (numeric) = 0.83377609131011466047058042326121 absolute error = 9.2919151163255974518403529e-07 relative error = 0.00011144389445129380238638549622305 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3734.6MB, alloc=4.4MB, time=374.89 NO POLE NO POLE x[1] = 0.1671 y2[1] (analytic) = 1.9860712506531169017768683465597 y2[1] (numeric) = 1.9860153798567827877073521423093 absolute error = 5.58707963341140695162042504e-05 relative error = 0.0028131315186069498815296768757908 % h = 0.0001 y1[1] (analytic) = 0.83367655416208483293245608802662 y1[1] (numeric) = 0.83367748892814445125779187305201 absolute error = 9.3476605961832533578502539e-07 relative error = 0.00011212574648423979870276837082045 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3738.4MB, alloc=4.4MB, time=375.16 NO POLE NO POLE memory used=3742.2MB, alloc=4.4MB, time=375.44 x[1] = 0.1672 y2[1] (analytic) = 1.9860546133782045816774997518767 y2[1] (numeric) = 1.9859984913202969818087915517213 absolute error = 5.61220579075998687082001554e-05 relative error = 0.0028258063766000043787599508273617 % h = 0.0001 y1[1] (analytic) = 0.8335779478688010949471998926488 y1[1] (numeric) = 0.83357888823449713531116750731687 absolute error = 9.4036569604036396761466807e-07 relative error = 0.00011281076934011820353128428561237 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3746.0MB, alloc=4.4MB, time=375.73 NO POLE NO POLE x[1] = 0.1673 y2[1] (analytic) = 1.9860379662427461360132071158313 y2[1] (numeric) = 1.9859815921678831696731162068224 absolute error = 5.63740748629663400909090089e-05 relative error = 0.0028385194956578158232055714210594 % h = 0.0001 y1[1] (analytic) = 0.83347934323973787688708231383461 y1[1] (numeric) = 0.83348028923023425612832308070568 absolute error = 9.4599049637924124076687107e-07 relative error = 0.00011349897319616488829258804267 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3749.9MB, alloc=4.4MB, time=376.00 NO POLE NO POLE x[1] = 0.1674 y2[1] (analytic) = 1.9860213092469080361384361689377 y2[1] (numeric) = 1.9859646823985553050105156322536 absolute error = 5.66268483527311279205366841e-05 relative error = 0.0028512709349631208236967217203965 % h = 0.0001 y1[1] (analytic) = 0.8333807402758812250419138269433 y1[1] (numeric) = 0.83338169191641745581233552134638 absolute error = 9.5164053623077042169440308e-07 relative error = 0.00011419036824821997144922514392854 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3753.7MB, alloc=4.4MB, time=376.27 memory used=3757.5MB, alloc=4.4MB, time=376.55 NO POLE NO POLE x[1] = 0.1675 y2[1] (analytic) = 1.986004642390856852011429101645 y2[1] (numeric) = 1.9859477620113273581832450009287 absolute error = 5.68803795294938281841007163e-05 relative error = 0.0028640607537059045042489386186365 % h = 0.0001 y1[1] (analytic) = 0.83328213897821716904943925906137 y1[1] (numeric) = 0.83328309629410847507007821730185 absolute error = 9.5731589130602063895824048e-07 relative error = 0.00011488496471073956819909615795389 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3761.3MB, alloc=4.4MB, time=376.82 NO POLE NO POLE x[1] = 0.1676 y2[1] (analytic) = 1.9859879656747592521925588647563 y2[1] (numeric) = 1.9859308310052133162154854304035 absolute error = 5.71346695459359770734343528e-05 relative error = 0.0028768890110834031310878603393997 % h = 0.0001 y1[1] (analytic) = 0.83318353934773172188547749263329 y1[1] (numeric) = 0.83318450236436915321055531698888 absolute error = 9.6301663743132507782435559e-07 relative error = 0.00011558277281680754757511971067696 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3765.1MB, alloc=4.4MB, time=377.09 memory used=3768.9MB, alloc=4.4MB, time=377.36 NO POLE NO POLE x[1] = 0.1677 y2[1] (analytic) = 1.9859712790987820038426624838262 y2[1] (numeric) = 1.9859138893792271828032041126257 absolute error = 5.73897195548210394583712005e-05 relative error = 0.0028897557663001067401771356812305 % h = 0.0001 y1[1] (analytic) = 0.83308494138541087985406133571157 y1[1] (numeric) = 0.83308591012826142814323504357586 absolute error = 9.6874285054828917370786429e-07 relative error = 0.00011628380281814729695596322412968 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3772.7MB, alloc=4.4MB, time=377.64 NO POLE NO POLE x[1] = 0.1678 y2[1] (analytic) = 1.9859545826630919727213733875537 y2[1] (numeric) = 1.9858969371323829783240142769672 absolute error = 5.76455307089943973591105865e-05 relative error = 0.0029026610785677617652496808762808 % h = 0.0001 y1[1] (analytic) = 0.83298634509224062257757755892466 y1[1] (numeric) = 0.83298731958684733637638202337576 absolute error = 9.7449460671379880446445110e-07 relative error = 0.00011698806498513349399271400392962 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3776.6MB, alloc=4.4MB, time=377.92 memory used=3780.4MB, alloc=4.4MB, time=378.19 NO POLE NO POLE x[1] = 0.1679 y2[1] (analytic) = 1.9859378763678561231854527501879 y2[1] (numeric) = 1.9858799742636947398470349864395 absolute error = 5.79021041613833384177637484e-05 relative error = 0.0029156050071053736663424700519704 % h = 0.0001 y1[1] (analytic) = 0.83288775046920691298690709926123 y1[1] (numeric) = 0.8328887307411890130153886282512 absolute error = 9.8027198210002848152898997e-07 relative error = 0.00011769556960680388595636674724087 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3784.2MB, alloc=4.4MB, time=378.47 NO POLE NO POLE x[1] = 0.168 y2[1] (analytic) = 1.985921160213241518187119847961 y2[1] (numeric) = 1.9858630007721765211427507669945 absolute error = 5.81594410649970443690809665e-05 relative error = 0.0029285876111392095588350451061295 % h = 0.0001 y1[1] (analytic) = 0.83278915751729569731156543076966 y1[1] (numeric) = 0.83279014359234869176110533204825 absolute error = 9.8607505299444953990127859e-07 relative error = 0.00011840632699087107651100694453967 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3788.0MB, alloc=4.4MB, time=378.75 memory used=3791.8MB, alloc=4.4MB, time=379.02 NO POLE NO POLE x[1] = 0.1681 y2[1] (analytic) = 1.9859044341994153192723814295679 y2[1] (numeric) = 1.9858460166568423926928710698114 absolute error = 5.84175425729265795103597565e-05 relative error = 0.0029416089499028008429919311766324 % h = 0.0001 y1[1] (analytic) = 0.83269056623749290506984310227104 y1[1] (numeric) = 0.83269155814138870490817008107561 absolute error = 9.9190389579983832697880457e-07 relative error = 0.00011912034746373431991757317039677 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3795.6MB, alloc=4.4MB, time=379.29 NO POLE NO POLE x[1] = 0.1682 y2[1] (analytic) = 1.9858876983265447865793601007075 y2[1] (numeric) = 1.9858290219167064417001895664713 absolute error = 5.86764098383448791705342362e-05 relative error = 0.0029546690826369458340091436780057 % h = 0.0001 y1[1] (analytic) = 0.83259197663078444905894644218451 y1[1] (numeric) = 0.83259297438937148334333667864592 absolute error = 9.9775858703428439023646141e-07 relative error = 0.000119837641370491322673084666588 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3799.4MB, alloc=4.4MB, time=379.56 memory used=3803.3MB, alloc=4.4MB, time=379.83 NO POLE NO POLE x[1] = 0.1683 y2[1] (analytic) = 1.9858709525947972788366217227028 y2[1] (numeric) = 1.9858120165507827720984432769211 absolute error = 5.89360440145067381784457817e-05 relative error = 0.0029677680685897123925649730264918 % h = 0.0001 y1[1] (analytic) = 0.83249338869815622534513843056341 y1[1] (numeric) = 0.83249439233735955654380218369597 absolute error = 1.00363920333119866375313256e-06 relative error = 0.00012055821907495005259022412883958 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3807.1MB, alloc=4.4MB, time=380.10 NO POLE NO POLE x[1] = 0.1684 y2[1] (analytic) = 1.9858541970043402533615018252166 y2[1] (numeric) = 1.985795000558085504562171530128 absolute error = 5.91964462547487993302950886e-05 relative error = 0.0029809059670164405558752332233546 % h = 0.0001 y1[1] (analytic) = 0.83239480244059411325387973844085 y1[1] (numeric) = 0.83239581198641555257553332350241 absolute error = 1.00954582143932165358506156e-06 relative error = 0.00012128209095964055532216903632059 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3810.9MB, alloc=4.4MB, time=380.37 NO POLE NO POLE memory used=3814.7MB, alloc=4.4MB, time=380.64 x[1] = 0.1685 y2[1] (analytic) = 1.9858374315553412660584310330798 y2[1] (numeric) = 1.9857779739376287765165747573257 absolute error = 5.94576177124895418562757541e-05 relative error = 0.0029940828371797451692531605346937 % h = 0.0001 y1[1] (analytic) = 0.83229621785908397535996993458336 y1[1] (numeric) = 0.83229723333760219809159192050977 absolute error = 1.01547851822273162198592641e-06 relative error = 0.00012200926742582677833756834988772 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3818.5MB, alloc=4.4MB, time=380.91 NO POLE NO POLE x[1] = 0.1686 y2[1] (analytic) = 1.9858206562479679714172595072481 y2[1] (numeric) = 1.9857609366884267421473731177544 absolute error = 5.97195595412292698863894937e-05 relative error = 0.0030072987383495185181741484435994 % h = 0.0001 y1[1] (analytic) = 0.83219763495461165747768885975104 y1[1] (numeric) = 0.8321986563919823183304593332876 absolute error = 1.02143737066085277047353656e-06 relative error = 0.0001227397588935184023505649042739 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3822.3MB, alloc=4.4MB, time=381.18 NO POLE NO POLE x[1] = 0.1687 y2[1] (analytic) = 1.9858038710823881225115803999051 y2[1] (numeric) = 1.9857438888094935724106649567951 absolute error = 5.99822728945501009154431100e-05 relative error = 0.0030205537298029329608455052902033 % h = 0.0001 y1[1] (analytic) = 0.83209905372816298865093816856304 y1[1] (numeric) = 0.83210008115061883711435991163332 absolute error = 1.02742245584846342174307028e-06 relative error = 0.00012347357580148268021076721673583 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3826.2MB, alloc=4.4MB, time=381.47 memory used=3830.0MB, alloc=4.4MB, time=381.74 NO POLE NO POLE x[1] = 0.1688 y2[1] (analytic) = 1.9857870760587695709970523237278 y2[1] (numeric) = 1.9857268302998434550427850964008 absolute error = 6.02457589261159542672273270e-05 relative error = 0.0030338478708244435612814208571131 % h = 0.0001 y1[1] (analytic) = 0.83200047418072378114338303906675 y1[1] (numeric) = 0.83200150761457477684758346583771 absolute error = 1.03343385099570420042677096e-06 relative error = 0.00012421072860725628325807800525507 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3833.8MB, alloc=4.4MB, time=382.01 NO POLE NO POLE x[1] = 0.1689 y2[1] (analytic) = 1.9857702711772802671097208353316 y2[1] (numeric) = 1.9857097611584905945701629577246 absolute error = 6.05100187896725395578776070e-05 relative error = 0.0030471812207057907228833283924505 % h = 0.0001 y1[1] (analytic) = 0.83190189631327983042859405010933 y1[1] (numeric) = 0.83190293578491325851480675012972 absolute error = 1.03947163342808621270002039e-06 relative error = 0.00012495122778715715514729012766758 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3837.6MB, alloc=4.4MB, time=382.28 memory used=3841.4MB, alloc=4.4MB, time=382.56 NO POLE NO POLE x[1] = 0.169 y2[1] (analytic) = 1.9857534564380882596643389329105 y2[1] (numeric) = 1.9856926813844492123191805158472 absolute error = 6.07750536390473451584170633e-05 relative error = 0.0030605538387460028225258484147505 % h = 0.0001 y1[1] (analytic) = 0.83180332012681691518018922661023 y1[1] (numeric) = 0.8318043656626975016794139603174 absolute error = 1.04553588058649922473370717e-06 relative error = 0.000125695083836296373147364146114 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3845.2MB, alloc=4.4MB, time=382.82 NO POLE NO POLE x[1] = 0.1691 y2[1] (analytic) = 1.9857366318413616960526865680918 y2[1] (numeric) = 1.9856755909767335464260300865052 absolute error = 6.10408646281496266564815866e-05 relative error = 0.0030739657842513988451485009291092 % h = 0.0001 y1[1] (analytic) = 0.83170474562232079726197625283327 y1[1] (numeric) = 0.8317057972489908244818162456418 absolute error = 1.05162667002721983999280853e-06 relative error = 0.00012644230726859001692030522050959 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3849.0MB, alloc=4.4MB, time=383.10 memory used=3852.9MB, alloc=4.4MB, time=383.38 NO POLE NO POLE x[1] = 0.1692 y2[1] (analytic) = 1.9857197973872688222418891720196 y2[1] (numeric) = 1.9856584899343578518465719447205 absolute error = 6.13074529109703953172272991e-05 relative error = 0.0030874171165355910188533725360532 % h = 0.0001 y1[1] (analytic) = 0.8316061728007772217180948537567 y1[1] (numeric) = 0.83160723054485664363777023486054 absolute error = 1.05774407942191967538110384e-06 relative error = 0.00012719290861677104478456052109736 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3856.7MB, alloc=4.4MB, time=383.65 NO POLE NO POLE x[1] = 0.1693 y2[1] (analytic) = 1.9857029530759779827727351956842 y2[1] (numeric) = 1.9856413782563364003661917752338 absolute error = 6.15748196415824065434204504e-05 relative error = 0.0031009078949194874505089249681227 % h = 0.0001 y1[1] (analytic) = 0.83150760166317191676315934464008 y1[1] (numeric) = 0.83150866555135847443669557657798 absolute error = 1.06388818655767353623193790e-06 relative error = 0.00012794689843240117746786181633664 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3860.5MB, alloc=4.4MB, time=383.92 memory used=3864.3MB, alloc=4.4MB, time=384.20 NO POLE NO POLE x[1] = 0.1694 y2[1] (analytic) = 1.9856860989076576207579926645165 y2[1] (numeric) = 1.9856242559416834806096579546425 absolute error = 6.18429659741401483347098740e-05 relative error = 0.0031144381787312947618601318743599 % h = 0.0001 y1[1] (analytic) = 0.83140903221049059377240134888634 y1[1] (numeric) = 0.83141010226955993073999149383872 absolute error = 1.07005906933696759014495238e-06 relative error = 0.00012870428728588278935444141775118 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3868.1MB, alloc=4.4MB, time=384.46 NO POLE NO POLE x[1] = 0.1695 y2[1] (analytic) = 1.9856692348824762778807247472614 y2[1] (numeric) = 1.9856071229894133980509786651447 absolute error = 6.21118930628798297460821167e-05 relative error = 0.0031280080273065207261451303941022 % h = 0.0001 y1[1] (analytic) = 0.83131046444371894727181268429765 y1[1] (numeric) = 0.83131154070052472497935235300134 absolute error = 1.07625680577770753966870369e-06 relative error = 0.00012946508576647080723155314694074 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3871.9MB, alloc=4.4MB, time=384.74 NO POLE NO POLE memory used=3875.7MB, alloc=4.4MB, time=385.01 x[1] = 0.1696 y2[1] (analytic) = 1.9856523610006025943926043391484 y2[1] (numeric) = 1.9855899793985404750232588397909 absolute error = 6.23816020621193693454993575e-05 relative error = 0.0031416174999879769052185743265686 % h = 0.0001 y1[1] (analytic) = 0.83121189836384265492828841782374 y1[1] (numeric) = 0.83121298084531666815508224690916 absolute error = 1.08248147401322679382908542e-06 relative error = 0.00013022930448228461654023347019328 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3879.6MB, alloc=4.4MB, time=385.28 NO POLE NO POLE x[1] = 0.1697 y2[1] (analytic) = 1.9856354772622053091122276593764 y2[1] (numeric) = 1.9855728251680790507285569391448 absolute error = 6.26520941262583836707202316e-05 relative error = 0.003155266656125781287181875700946 % h = 0.0001 y1[1] (analytic) = 0.83111333397184737753977008890116 y1[1] (numeric) = 0.83111442270499966983440859237492 absolute error = 1.08873315229229463850347376e-06 relative error = 0.00013099695406031997513524147836669 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3883.4MB, alloc=4.4MB, time=385.55 NO POLE NO POLE x[1] = 0.1698 y2[1] (analytic) = 1.9856185836674532594234268629293 y2[1] (numeric) = 1.9855556602970434812477415592545 absolute error = 6.29233704097781756853036748e-05 relative error = 0.0031689555550773609245205215851673 % h = 0.0001 y1[1] (analytic) = 0.83101477126871875902538910148207 y1[1] (numeric) = 0.83101586628063773814979474199624 absolute error = 1.09501191897912440564051417e-06 relative error = 0.00013176804514646093455911987532286 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3887.2MB, alloc=4.4MB, time=385.82 memory used=3891.0MB, alloc=4.4MB, time=386.10 NO POLE NO POLE x[1] = 0.1699 y2[1] (analytic) = 1.9856016802165153812735816667389 y2[1] (numeric) = 1.9855384847844481395503478708356 absolute error = 6.31954320672417232337959033e-05 relative error = 0.0031826842562074545727486530050802 % h = 0.0001 y1[1] (analytic) = 0.83091621025544242641561028485114 y1[1] (numeric) = 0.83091731157329497979725161031868 absolute error = 1.10131785255338164132546754e-06 relative error = 0.00013254258840549176883532263972027 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3894.8MB, alloc=4.4MB, time=386.37 NO POLE NO POLE x[1] = 0.17 y2[1] (analytic) = 1.9855847669095607091719299902125 y2[1] (numeric) = 1.9855212986293074155044338895676 absolute error = 6.34682802532936674961006449e-05 relative error = 0.003196452818888115329561092944699 % h = 0.0001 y1[1] (analytic) = 0.83081765093300398984237562332915 y1[1] (numeric) = 0.83081875858403560003464831436336 absolute error = 1.10765103161019227269103421e-06 relative error = 0.00013332059452110891078535854843898 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3898.6MB, alloc=4.4MB, time=386.64 memory used=3902.4MB, alloc=4.4MB, time=386.92 NO POLE NO POLE x[1] = 0.1701 y2[1] (analytic) = 1.9855678437467583761878776101421 y2[1] (numeric) = 1.9855041018306357158864365774051 absolute error = 6.37419161226603014410327370e-05 relative error = 0.0032102613024987132744930104166704 % h = 0.0001 y1[1] (analytic) = 0.83071909330238904252924815496171 y1[1] (numeric) = 0.830720207313923902680021828536 absolute error = 1.11401153486015077367357429e-06 relative error = 0.00013410207419593289587490326886632 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3906.3MB, alloc=4.4MB, time=387.19 NO POLE NO POLE x[1] = 0.1702 y2[1] (analytic) = 1.9855509107282776139493068300115 y2[1] (numeric) = 1.9854868943874474643910277748054 absolute error = 6.40163408301495582790552061e-05 relative error = 0.0032241097664259381090874076055059 % h = 0.0001 y1[1] (analytic) = 0.83062053736458316078155603929193 y1[1] (numeric) = 0.83062165776402429010988565393426 absolute error = 1.12039944112932832961464233e-06 relative error = 0.00013488703815152031359383619354965 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3910.1MB, alloc=4.4MB, time=387.46 memory used=3913.9MB, alloc=4.4MB, time=387.73 NO POLE NO POLE x[1] = 0.1703 y2[1] (analytic) = 1.9855339678542877526408841637193 y2[1] (numeric) = 1.9854696762987571016409699637732 absolute error = 6.42915555306509999141999461e-05 relative error = 0.0032379982700638017975706172657712 % h = 0.0001 y1[1] (analytic) = 0.83052198312057190397653679431528 y1[1] (numeric) = 0.83052310993540126325753750207032 absolute error = 1.12681482935928100070775504e-06 relative error = 0.00013567549712837576637516178487016 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3917.7MB, alloc=4.4MB, time=388.00 NO POLE NO POLE x[1] = 0.1704 y2[1] (analytic) = 1.9855170151249582210023670337329 y2[1] (numeric) = 1.985452447563579085196971861625 absolute error = 6.45675613791358053951721079e-05 relative error = 0.0032519268728136412080359973643976 % h = 0.0001 y1[1] (analytic) = 0.83042343057134081455348170271546 y1[1] (numeric) = 0.83042456382911942161136599302566 absolute error = 1.13325777860705788429031020e-06 relative error = 0.00013646746188596383605777864861338 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3921.5MB, alloc=4.4MB, time=388.27 memory used=3925.3MB, alloc=4.4MB, time=388.56 NO POLE NO POLE x[1] = 0.1705 y2[1] (analytic) = 1.9855000525404585463269094836934 y2[1] (numeric) = 1.9854352081809278895675438453739 absolute error = 6.48443595306567593656383195e-05 relative error = 0.0032658956340841207541360103424446 % h = 0.0001 y1[1] (analytic) = 0.83032487971787541800388038747972 y1[1] (numeric) = 0.83032601944624346321315636805485 absolute error = 1.13972836804520927598057513e-06 relative error = 0.00013726294320272105789806310430666 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3929.1MB, alloc=4.4MB, time=388.83 NO POLE NO POLE x[1] = 0.1706 y2[1] (analytic) = 1.9854830801009583544593669054844 y2[1] (numeric) = 1.9854179581498180062188532066361 absolute error = 6.51219511403482405136988483e-05 relative error = 0.0032799046132912350372828740426824 % h = 0.0001 y1[1] (analytic) = 0.83022633056116122286156555699212 y1[1] (numeric) = 0.83022747678783818465639521665546 absolute error = 1.14622667696179482965966334e-06 relative error = 0.00013806195187606790213523757433144 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3933.0MB, alloc=4.4MB, time=389.10 memory used=3936.8MB, alloc=4.4MB, time=389.37 NO POLE NO POLE x[1] = 0.1707 y2[1] (analytic) = 1.9854660978066273697945997807856 y2[1] (numeric) = 1.9854006974692639435845792369611 absolute error = 6.54003373634262100205438245e-05 relative error = 0.0032939538698583114893579717607484 % h = 0.0001 y1[1] (analytic) = 0.83012778310218372069285791970346 y1[1] (numeric) = 0.8301289358549684810845742181209 absolute error = 1.15275278476039171629841744e-06 relative error = 0.00013886449872242076311549757552704 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3940.6MB, alloc=4.4MB, time=389.64 NO POLE NO POLE x[1] = 0.1708 y2[1] (analytic) = 1.9854491056576354152757764371253 y2[1] (numeric) = 1.9853834261382802270757681434865 absolute error = 6.56795193551882000082936388e-05 relative error = 0.0033080434632160130159302086393607 % h = 0.0001 y1[1] (analytic) = 0.8300292373419283860867112684763 y1[1] (numeric) = 0.83003039664869934618949289759324 absolute error = 1.15930677096010278162911694e-06 relative error = 0.00013967059457720395597987469267225 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3944.4MB, alloc=4.4MB, time=389.91 NO POLE NO POLE memory used=3948.2MB, alloc=4.4MB, time=390.18 x[1] = 0.1709 y2[1] (analytic) = 1.9854321036541524123926748184502 y2[1] (numeric) = 1.9853661441558813990906877948197 absolute error = 6.59594982710133019870236305e-05 relative error = 0.0033221734528023406399835018199411 % h = 0.0001 y1[1] (analytic) = 0.82993069328138067664485773470356 y1[1] (numeric) = 0.82993185917009587220956039663294 absolute error = 1.16588871519556470266192938e-06 relative error = 0.00014048025029486172092081642251667 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3952.0MB, alloc=4.4MB, time=390.47 NO POLE NO POLE x[1] = 0.171 y2[1] (analytic) = 1.9854150917963483811799832702289 y2[1] (numeric) = 1.9853488515210820190246822970468 absolute error = 6.62402752663621553009731821e-05 relative error = 0.0033363438980626361461535918148398 % h = 0.0001 y1[1] (analytic) = 0.8298321509215260329719532122995 y1[1] (numeric) = 0.82983332342022324992809625832247 absolute error = 1.17249869721695614304602297e-06 relative error = 0.00014129347674887023501246728057358 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3955.9MB, alloc=4.4MB, time=390.74 NO POLE NO POLE x[1] = 0.1711 y2[1] (analytic) = 1.9853980700843934402156003391068 y2[1] (numeric) = 1.9853315482328966632800263997707 absolute error = 6.65218514967769355739393361e-05 relative error = 0.003350554858449584725474362592066 % h = 0.0001 y1[1] (analytic) = 0.82973361026334987866572295166131 y1[1] (numeric) = 0.82973478940014676867163022692087 absolute error = 1.17913679689000590727525956e-06 relative error = 0.00014211028483174963161963917757508 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3959.7MB, alloc=4.4MB, time=391.01 memory used=3963.5MB, alloc=4.4MB, time=391.29 NO POLE NO POLE x[1] = 0.1712 y2[1] (analytic) = 1.9853810385184578066189335871281 y2[1] (numeric) = 1.9853142342903399252757797320807 absolute error = 6.68042281178813431538550474e-05 relative error = 0.0033648063934232176206338577974636 % h = 0.0001 y1[1] (analytic) = 0.82963507130783762030710732370011 y1[1] (numeric) = 0.82963625711093181630820106208617 absolute error = 1.18580309419600109373838606e-06 relative error = 0.00014293068545507602739046252846311 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3967.3MB, alloc=4.4MB, time=391.56 NO POLE NO POLE x[1] = 0.1713 y2[1] (analytic) = 1.9853639970987117960491974205433 y2[1] (numeric) = 1.9852969096924264154576408683532 absolute error = 6.70874062853805915565521901e-05 relative error = 0.003379098562450914771740180860147 % h = 0.0001 y1[1] (analytic) = 0.82953653405597464745040775403971 y1[1] (numeric) = 0.82953772655364387924565436768273 absolute error = 1.19249766923179524661364302e-06 relative error = 0.00014375468954949355683771317090004 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3971.1MB, alloc=4.4MB, time=391.83 memory used=3974.9MB, alloc=4.4MB, time=392.11 NO POLE NO POLE x[1] = 0.1714 y2[1] (analytic) = 1.9853469458253258227037099332187 y2[1] (numeric) = 1.9852795744381707613078012237867 absolute error = 6.73713871550613959087094320e-05 relative error = 0.003393431425007407462597466498919 % h = 0.0001 y1[1] (analytic) = 0.82943799850874633261343282748187 y1[1] (numeric) = 0.82943919772934854242993943519051 absolute error = 1.19922060220981650660770864e-06 relative error = 0.00014458230806472641451381366301063 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3978.7MB, alloc=4.4MB, time=392.38 NO POLE NO POLE x[1] = 0.1715 y2[1] (analytic) = 1.9853298846984703993161887646644 y2[1] (numeric) = 1.9852622285265876073547987795717 absolute error = 6.76561718827919613899850927e-05 relative error = 0.0034078050405747809674921113272789 % h = 0.0001 y1[1] (analytic) = 0.82933946466713803126764456283637 y1[1] (numeric) = 0.82934067063911148934340510173333 absolute error = 1.20597197345807576053889696e-06 relative error = 0.00014541355196959090478451113639417 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3982.6MB, alloc=4.4MB, time=392.65 memory used=3986.4MB, alloc=4.4MB, time=392.93 NO POLE NO POLE x[1] = 0.1716 y2[1] (analytic) = 1.9853128137183161371550459726983 y2[1] (numeric) = 1.985244871956691615183371637597 absolute error = 6.79417616245219716743351013e-05 relative error = 0.0034222194686424771984894513086325 % h = 0.0001 y1[1] (analytic) = 0.82924093253213508182830485821463 y1[1] (numeric) = 0.82924214528399850200309462274309 absolute error = 1.21275186342017478976452846e-06 relative error = 0.0001462484322520074992062373689685 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3990.2MB, alloc=4.4MB, time=393.20 NO POLE NO POLE x[1] = 0.1717 y2[1] (analytic) = 1.9852957328850337460216819207642 y2[1] (numeric) = 1.9852275047274974634443114045943 absolute error = 6.82281575362825773705161699e-05 relative error = 0.0034366747687072973532410738723624 % h = 0.0001 y1[1] (analytic) = 0.8291424021047228056446221068853 y1[1] (numeric) = 0.82914362166507546095903955927708 absolute error = 1.21956035265531441745239178e-06 relative error = 0.00014708695991901290151216035399925 % h = 0.0001 TOP MAIN SOLVE Loop memory used=3994.0MB, alloc=4.4MB, time=393.48 memory used=3997.8MB, alloc=4.4MB, time=393.76 NO POLE NO POLE x[1] = 0.1718 y2[1] (analytic) = 1.9852786421987940342487781799182 y2[1] (numeric) = 1.9852101268380198478643164056218 absolute error = 6.85153607741863844617742964e-05 relative error = 0.0034511710002734045633029524144312 % h = 0.0001 y1[1] (analytic) = 0.82904387338588650698989798379038 y1[1] (numeric) = 0.82904509978340834529255268000542 absolute error = 1.22639752183830265469621504e-06 relative error = 0.00014792914599677212021194017061045 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4001.6MB, alloc=4.4MB, time=394.03 NO POLE NO POLE x[1] = 0.1719 y2[1] (analytic) = 1.9852615416597679086985894455042 y2[1] (numeric) = 1.9851927382872734812558447267892 absolute error = 6.88033724944274427447187150e-05 relative error = 0.0034657082228523265429645912020081 % h = 0.0001 y1[1] (analytic) = 0.82894534637661147305167440282041 y1[1] (numeric) = 0.82894657964006323261451987788564 absolute error = 1.23326345175956284547506523e-06 relative error = 0.0001487750015305905488102055192599 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4005.4MB, alloc=4.4MB, time=394.31 NO POLE NO POLE memory used=4009.3MB, alloc=4.4MB, time=394.58 x[1] = 0.172 y2[1] (analytic) = 1.9852444312681263747612344685321 y2[1] (numeric) = 1.985175339074273093526967087125 absolute error = 6.90921938532812342673814071e-05 relative error = 0.0034802864959629582385893684635551 % h = 0.0001 y1[1] (analytic) = 0.82884682107788297392188064494727 y1[1] (numeric) = 0.82884806123610629906369110154155 absolute error = 1.24015822332514181045659428e-06 relative error = 0.00014962453758492605364877086468061 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4013.1MB, alloc=4.4MB, time=394.85 NO POLE NO POLE x[1] = 0.1721 y2[1] (analytic) = 1.9852273110240405363529860017787 y2[1] (numeric) = 1.9851579291980334316912195394872 absolute error = 6.93818260071046617664622915e-05 relative error = 0.003494905879131564478466265807156 % h = 0.0001 y1[1] (analytic) = 0.82874829749068626258698065731312 y1[1] (numeric) = 0.82874954457260381930497030136352 absolute error = 1.24708191755671798964405040e-06 relative error = 0.00015047776524340106937761769125749 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4016.9MB, alloc=4.4MB, time=395.12 NO POLE NO POLE x[1] = 0.1722 y2[1] (analytic) = 1.9852101809276815959145597606257 y2[1] (numeric) = 1.9851405086575692598774560004202 absolute error = 6.96722701123360371037602055e-05 relative error = 0.0035095664318917826231731717912561 % h = 0.0001 y1[1] (analytic) = 0.82864977561600657491812052337391 y1[1] (numeric) = 0.82865102965062216652770439034714 absolute error = 1.25403461559160958386697323e-06 relative error = 0.0001513346956088147020596669373939 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4020.7MB, alloc=4.4MB, time=395.39 memory used=4024.5MB, alloc=4.4MB, time=395.67 NO POLE NO POLE x[1] = 0.1723 y2[1] (analytic) = 1.9851930409792208544094023986544 y2[1] (numeric) = 1.9851230774518953593397006088577 absolute error = 6.99635273254950697017897967e-05 relative error = 0.0035242682137846252164519479341168 % h = 0.0001 y1[1] (analytic) = 0.82855125545482912966127610419618 y1[1] (numeric) = 0.8285525164712278124439712196875 absolute error = 1.26101639868278269511549132e-06 relative error = 0.00015219533980315483991437324336413 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4028.3MB, alloc=4.4MB, time=395.94 NO POLE NO POLE x[1] = 0.1724 y2[1] (analytic) = 1.9851758911788297113219784980125 y2[1] (numeric) = 1.9851056355800265284669999135744 absolute error = 7.02555988031828549785844381e-05 relative error = 0.0035390112843584826365954451347465 % h = 0.0001 y1[1] (analytic) = 0.82845273700813912842740085100552 y1[1] (numeric) = 0.82845400503548732728686656914616 absolute error = 1.26802734819885946571814064e-06 relative error = 0.00015305970896761027170517524197287 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4032.1MB, alloc=4.4MB, time=396.21 memory used=4036.0MB, alloc=4.4MB, time=396.48 NO POLE NO POLE x[1] = 0.1725 y2[1] (analytic) = 1.9851587315266796646560565745712 y2[1] (numeric) = 1.9850881830409775827932748892872 absolute error = 7.05484857020818627816852840e-05 relative error = 0.0035537957031691257483466587740283 % h = 0.0001 y1[1] (analytic) = 0.8283542202769217556825737890852 y1[1] (numeric) = 0.82835549534446737980879015220791 absolute error = 1.27506754562412621636312271e-06 relative error = 0.0001539278142625828127758396839295 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4039.8MB, alloc=4.4MB, time=396.75 NO POLE NO POLE x[1] = 0.1726 y2[1] (analytic) = 1.9851415620229423109329940978885 y2[1] (numeric) = 1.9850707198337633550071727813081 absolute error = 7.08421891789559258213165804e-05 relative error = 0.0035686215297797085553102106225169 % h = 0.0001 y1[1] (analytic) = 0.82825570526216217873814767312361 y1[1] (numeric) = 0.82825698739923473727973063604455 absolute error = 1.28213707255854158296292094e-06 relative error = 0.0001547996668676994387407407684462 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4043.6MB, alloc=4.4MB, time=397.02 memory used=4047.4MB, alloc=4.4MB, time=397.31 NO POLE NO POLE x[1] = 0.1727 y2[1] (analytic) = 1.9851243826677893451900215259972 y2[1] (numeric) = 1.9850532459573986949619187786491 absolute error = 7.11367103906502281027473481e-05 relative error = 0.0035834888237607708528763459572367 % h = 0.0001 y1[1] (analytic) = 0.82815719196484554774089731410896 y1[1] (numeric) = 0.82815848120085626548554967630272 absolute error = 1.28923601071774465236219376e-06 relative error = 0.00015567527798182442683411962971577 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4051.2MB, alloc=4.4MB, time=397.59 NO POLE NO POLE x[1] = 0.1728 y2[1] (analytic) = 1.9851071934613925609785253550341 y2[1] (numeric) = 1.985035761410898469685167515482 absolute error = 7.14320504940912933578395521e-05 relative error = 0.0035983976446902408816576341073038 % h = 0.0001 y1[1] (analytic) = 0.82805868038595699566316807786973 y1[1] (numeric) = 0.82805997675039892872626496673301 absolute error = 1.29636444193306309688886328e-06 relative error = 0.00015655465882307150492337253335283 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4055.0MB, alloc=4.4MB, time=397.86 memory used=4058.9MB, alloc=4.4MB, time=398.13 NO POLE NO POLE x[1] = 0.1729 y2[1] (analytic) = 1.9850899944039238503623301837276 y2[1] (numeric) = 1.9850182661932775633888544008536 absolute error = 7.17282106462869734757828740e-05 relative error = 0.0036133480521534379814385608535754 % h = 0.0001 y1[1] (analytic) = 0.82796017052648163829302455535941 y1[1] (numeric) = 0.82796147404892978981433230367758 absolute error = 1.30352244815152130774831817e-06 relative error = 0.00015743782062881600819141991772412 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4062.7MB, alloc=4.4MB, time=398.42 NO POLE NO POLE x[1] = 0.173 y2[1] (analytic) = 1.9850727854955552039159797927608 y2[1] (numeric) = 1.985000760303550877479046776558 absolute error = 7.20251920043264369330162028e-05 relative error = 0.0036283401057430752456382010912911 % h = 0.0001 y1[1] (analytic) = 0.82786166238740457422439940478408 y1[1] (numeric) = 0.82786297309751601007292666543328 absolute error = 1.31071011143584852726064920e-06 relative error = 0.00015832477465570704349321197452842 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4066.5MB, alloc=4.4MB, time=398.68 memory used=4070.3MB, alloc=4.4MB, time=398.95 NO POLE NO POLE x[1] = 0.1731 y2[1] (analytic) = 1.9850555667364587107230172390276 y2[1] (numeric) = 1.984983243740733330565794903068 absolute error = 7.23229957253801572223359596e-05 relative error = 0.003643373865059262176286160218973 % h = 0.0001 y1[1] (analytic) = 0.82776315596971088484724236567129 y1[1] (numeric) = 0.82776447389722484933422230650771 absolute error = 1.31792751396448697994083642e-06 relative error = 0.00015921553217967966139143012058778 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4074.1MB, alloc=4.4MB, time=399.22 NO POLE NO POLE x[1] = 0.1732 y2[1] (analytic) = 1.9850383381268065583742639647983 y2[1] (numeric) = 1.9849657165038398584729827734262 absolute error = 7.26216229666999012811913721e-05 relative error = 0.0036584493897095073395119727862879 % h = 0.0001 y1[1] (analytic) = 0.82766465127438563433766944497877 y1[1] (numeric) = 0.82766597644912366593767186678518 absolute error = 1.32517473803160000242180641e-06 relative error = 0.00016011010449596703587644724154988 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4077.9MB, alloc=4.4MB, time=399.49 NO POLE NO POLE memory used=4081.7MB, alloc=4.4MB, time=399.76 x[1] = 0.1733 y2[1] (analytic) = 1.9850210996667710329660979218137 y2[1] (numeric) = 1.9849481785918854142481787549978 absolute error = 7.29210748856187179191668159e-05 relative error = 0.0036735667393087210215481470382961 % h = 0.0001 y1[1] (analytic) = 0.82756614830241386964811227534147 y1[1] (numeric) = 0.82756748075427991672828449561993 absolute error = 1.33245186604708017222027846e-06 relative error = 0.00016100850291911265177561323805316 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4085.6MB, alloc=4.4MB, time=400.04 NO POLE NO POLE x[1] = 0.1734 y2[1] (analytic) = 1.9850038513565245190987307103216 y2[1] (numeric) = 1.984930630003884968172486058987 absolute error = 7.32213526395509262446513346e-05 relative error = 0.0036887259734792178852470437909608 % h = 0.0001 y1[1] (analytic) = 0.82746764705478062049746764555549 y1[1] (numeric) = 0.82746898681376115705490299087383 absolute error = 1.33975898053655743534531834e-06 relative error = 0.00016191073878298249985693598144529 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4089.4MB, alloc=4.4MB, time=400.32 NO POLE NO POLE x[1] = 0.1735 y2[1] (analytic) = 1.9849865931962394998744837330771 y2[1] (numeric) = 1.9849130707388535077703930376177 absolute error = 7.35224573859921040906954594e-05 relative error = 0.0037039271518507196271117785604057 % h = 0.0001 y1[1] (analytic) = 0.82736914753247089936124720339725 y1[1] (numeric) = 0.82737049462863504076847995291564 absolute error = 1.34709616414140723274951839e-06 relative error = 0.00016281682344077727963223139806233 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4093.2MB, alloc=4.4MB, time=400.59 memory used=4097.0MB, alloc=4.4MB, time=400.87 NO POLE NO POLE x[1] = 0.1736 y2[1] (analytic) = 1.9849693251860885568960633643204 y2[1] (numeric) = 1.9848955007958060378196233088802 absolute error = 7.38243902825190764400554402e-05 relative error = 0.0037191703340603576348413354795143 % h = 0.0001 y1[1] (analytic) = 0.82727064973646970146172733087667 y1[1] (numeric) = 0.82727200419996932022035295359928 absolute error = 1.35446349961875862562272261e-06 relative error = 0.00016372676826504460986482000126794 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4100.8MB, alloc=4.4MB, time=401.14 NO POLE NO POLE x[1] = 0.1737 y2[1] (analytic) = 1.9849520473262443702648351337511 y2[1] (numeric) = 1.984877920173757580360985708746 absolute error = 7.41271524867899038494250051e-05 relative error = 0.0037344555797526756453900818316867 % h = 0.0001 y1[1] (analytic) = 0.82717215366776200475809919202253 y1[1] (numeric) = 0.82717351552883184626051872023818 absolute error = 1.36186106984150241952821565e-06 relative error = 0.00016464058464769124678685082605389 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4104.6MB, alloc=4.4MB, time=401.41 memory used=4108.4MB, alloc=4.4MB, time=401.69 NO POLE NO POLE x[1] = 0.1738 y2[1] (analytic) = 1.9849347596168797185790969255162 y2[1] (numeric) = 1.9848603288717231747082240707514 absolute error = 7.44307451565438708728547648e-05 relative error = 0.0037497829485796324035418720608358 % h = 0.0001 y1[1] (analytic) = 0.82707365932733276993661895329883 y1[1] (numeric) = 0.82707502861629056823590633459308 absolute error = 1.36928895779829928738129425e-06 relative error = 0.00016555828399999531003133729049205 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4112.3MB, alloc=4.4MB, time=401.95 NO POLE NO POLE x[1] = 0.1739 y2[1] (analytic) = 1.9849174620581674789323511922283 y2[1] (numeric) = 1.9848427268887178774578668328518 absolute error = 7.47351694496014744843593765e-05 relative error = 0.0037651525002006043209989300704173 % h = 0.0001 y1[1] (analytic) = 0.82697516671616694040075817675039 y1[1] (numeric) = 0.82697654346341353398864944689048 absolute error = 1.37674724659358789127014009e-06 relative error = 0.00016647987775261851628399317245252 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4116.1MB, alloc=4.4MB, time=402.24 memory used=4119.9MB, alloc=4.4MB, time=402.51 NO POLE NO POLE x[1] = 0.174 y2[1] (analytic) = 1.9849001546502806269115761840325 y2[1] (numeric) = 1.9848251142237567624990764714484 absolute error = 7.50404265238644124997125841e-05 relative error = 0.0037805642942823881359856987845671 % h = 0.0001 y1[1] (analytic) = 0.82687667583524944226135438597639 y1[1] (numeric) = 0.82687806007126888985435750488905 absolute error = 1.38423601944759300311891266e-06 relative error = 0.0001674053773556184206599604650487 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4123.7MB, alloc=4.4MB, time=402.78 NO POLE NO POLE x[1] = 0.1741 y2[1] (analytic) = 1.9848828373933922365954961927374 y2[1] (numeric) = 1.984807490875854921023498762488 absolute error = 7.53465175373155719974302494e-05 relative error = 0.0037960183904992035733678458880997 % h = 0.0001 y1[1] (analytic) = 0.82677818668556518432676180503015 y1[1] (numeric) = 0.82677957844092488066038599801131 absolute error = 1.39175535969633362419298116e-06 relative error = 0.000168334794278460665810524542769 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4127.5MB, alloc=4.4MB, time=403.05 memory used=4131.3MB, alloc=4.4MB, time=403.33 NO POLE NO POLE x[1] = 0.1742 y2[1] (analytic) = 1.9848655102876754805528508110299 y2[1] (numeric) = 1.9847898568440274615351118695388 absolute error = 7.56534436480190177389414911e-05 relative error = 0.0038115148485326960052866148174046 % h = 0.0001 y1[1] (analytic) = 0.82667969926809905809300227034384 y1[1] (numeric) = 0.82668109857344984972410571655781 absolute error = 1.39930535079163110344621397e-06 relative error = 0.00016926814001003123876491563635064 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4135.1MB, alloc=4.4MB, time=403.60 NO POLE NO POLE x[1] = 0.1743 y2[1] (analytic) = 1.9848481733333036298406632067887 y2[1] (numeric) = 1.9847722121272895098600752587421 absolute error = 7.59612060141199805879480466e-05 relative error = 0.0038270537280719391123087100331109 % h = 0.0001 y1[1] (analytic) = 0.82658121358383593773391631577645 y1[1] (numeric) = 0.82658262046991223885117102602119 absolute error = 1.40688607630111725471024474e-06 relative error = 0.00017020542605864873551229930183544 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4139.0MB, alloc=4.4MB, time=403.86 NO POLE NO POLE memory used=4142.8MB, alloc=4.4MB, time=404.14 x[1] = 0.1744 y2[1] (analytic) = 1.984830826530450054002507412516 y2[1] (numeric) = 1.9847545567246562091565784405425 absolute error = 7.62698057938448459289719735e-05 relative error = 0.0038426350888134375450919057506437 % h = 0.0001 y1[1] (analytic) = 0.82648272963376068009131443088358 y1[1] (numeric) = 0.82648414413138058833378715651737 absolute error = 1.41449761990824247272563379e-06 relative error = 0.00017114666395207663332906215422301 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4146.6MB, alloc=4.4MB, time=404.41 NO POLE NO POLE x[1] = 0.1745 y2[1] (analytic) = 1.9848134698792882210667746299031 y2[1] (numeric) = 1.984736890635142719924689538098 absolute error = 7.65792441455011420850918051e-05 relative error = 0.0038582589904611295865665672233601 % h = 0.0001 y1[1] (analytic) = 0.82638424741885812466512849250757 y1[1] (numeric) = 0.8263856695589235369489765073513 absolute error = 1.42214006541228384801484373e-06 relative error = 0.00017209186523753557085650279404409 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4150.4MB, alloc=4.4MB, time=404.68 NO POLE NO POLE x[1] = 0.1746 y2[1] (analytic) = 1.9847961033799916975449385495476 y2[1] (numeric) = 1.9847192138577642200162036822709 absolute error = 7.68895222274775287348672767e-05 relative error = 0.0038739254927263898146332738484786 % h = 0.0001 y1[1] (analytic) = 0.82628576694011309360356336978635 y1[1] (numeric) = 0.82628719675360982195684396673443 absolute error = 1.42981349672835328059694808e-06 relative error = 0.00017304104148171563593404147354941 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4154.2MB, alloc=4.4MB, time=404.96 memory used=4158.0MB, alloc=4.4MB, time=405.24 NO POLE NO POLE x[1] = 0.1747 y2[1] (analytic) = 1.9847787270327341484298196858404 y2[1] (numeric) = 1.9847015263915359046444912331017 absolute error = 7.72006411982437853284527387e-05 relative error = 0.0038896346553280317653767333753051 % h = 0.0001 y1[1] (analytic) = 0.82618728819851039169324870267965 y1[1] (numeric) = 0.82618872571650827909884124667148 absolute error = 1.43751799788740559254399183e-06 relative error = 0.00017399420427078866119306570546471 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4161.8MB, alloc=4.4MB, time=405.50 NO POLE NO POLE x[1] = 0.1748 y2[1] (analytic) = 1.9847613408376893371938487270389 y2[1] (numeric) = 1.9846838282354729863943458276673 absolute error = 7.75126022163507995028993716e-05 relative error = 0.0039053865379923105967961764995317 % h = 0.0001 y1[1] (analytic) = 0.82608881119503480634939085411086 y1[1] (numeric) = 0.82609025644868784259603023303365 absolute error = 1.44525365303624663937892279e-06 relative error = 0.00017495136521042052741653264607426 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4165.7MB, alloc=4.4MB, time=405.77 memory used=4169.5MB, alloc=4.4MB, time=406.05 NO POLE NO POLE x[1] = 0.1749 y2[1] (analytic) = 1.9847439447950311257873289005443 y2[1] (numeric) = 1.9846661193885906952318322542248 absolute error = 7.78254064404305554966463195e-05 relative error = 0.0039211812004529257530524212525934 % h = 0.0001 y1[1] (analytic) = 0.82599033593067110760592503582321 y1[1] (numeric) = 0.82599178895121754514734535083576 absolute error = 1.45302054643754142031501255e-06 relative error = 0.00017591253592578347466945272326279 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4173.3MB, alloc=4.4MB, time=406.32 NO POLE NO POLE x[1] = 0.175 y2[1] (analytic) = 1.9847265389049334746366973533995 y2[1] (numeric) = 1.9846483998499042785141341525426 absolute error = 7.81390550291961225632008569e-05 relative error = 0.003937018702451023629231796554034 % h = 0.0001 y1[1] (analytic) = 0.82589186240640404810566760804859 y1[1] (numeric) = 0.82589332322516651792785494473468 absolute error = 1.46081876246982218733668609e-06 relative error = 0.00017687772806156842120538265208361 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4177.1MB, alloc=4.4MB, time=406.59 memory used=4180.9MB, alloc=4.4MB, time=406.86 NO POLE NO POLE x[1] = 0.1751 y2[1] (analytic) = 1.9847091231675704426427855480269 y2[1] (numeric) = 1.9846306696184290009994015403203 absolute error = 7.84535491414416433840077066e-05 relative error = 0.0039528991037352002366271144956592 % h = 0.0001 y1[1] (analytic) = 0.82579339062321836309046855308763 y1[1] (numeric) = 0.8257948592716039905870216747664 absolute error = 1.46864838562749655312167877e-06 relative error = 0.00017784695328199729015405959101378 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4184.7MB, alloc=4.4MB, time=407.13 NO POLE NO POLE x[1] = 0.1752 y2[1] (analytic) = 1.9846916975831161871790786732209 y2[1] (numeric) = 1.9846129286931801448565981655991 absolute error = 7.87688899360423224805076218e-05 relative error = 0.0039688224640615038685358807391535 % h = 0.0001 y1[1] (analytic) = 0.82569492058209877039136412289937 y1[1] (numeric) = 0.82569639709159929124696192733916 absolute error = 1.47650950052085559780443979e-06 relative error = 0.00017882022327083534399531188656307 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4188.6MB, alloc=4.4MB, time=407.41 memory used=4192.4MB, alloc=4.4MB, time=407.68 NO POLE NO POLE x[1] = 0.1753 y2[1] (analytic) = 1.9846742621517449640899740704148 y2[1] (numeric) = 1.9845951770731730096753486850639 absolute error = 7.90850785719544146253853509e-05 relative error = 0.0039847888431934377665759327306221 % h = 0.0001 y1[1] (analytic) = 0.82559645228402997041872966079915 y1[1] (numeric) = 0.82559793668622184650070424150008 absolute error = 1.48440219187608197458070093e-06 relative error = 0.00017979754973140352682438547374793 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4196.2MB, alloc=4.4MB, time=407.95 NO POLE NO POLE x[1] = 0.1754 y2[1] (analytic) = 1.9846568168736311276890386752383 y2[1] (numeric) = 1.984577414757422912475785668139 absolute error = 7.94021162082152132530070993e-05 relative error = 0.0040007983009019627875186952736512 % h = 0.0001 y1[1] (analytic) = 0.825497985729996646152432597363 y1[1] (numeric) = 0.82549947805654118141044675049259 absolute error = 1.49232654453525801415312959e-06 relative error = 0.00018077894438659081441382868192235 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4200.0MB, alloc=4.4MB, time=408.24 memory used=4203.8MB, alloc=4.4MB, time=408.51 NO POLE NO POLE x[1] = 0.1755 y2[1] (analytic) = 1.9846393617489491307572654743832 y2[1] (numeric) = 1.9845596417449451877183964267784 absolute error = 7.97200040039430388690476048e-05 relative error = 0.0040168508969655000706402431681198 % h = 0.0001 y1[1] (analytic) = 0.82539952092098346313198562063723 y1[1] (numeric) = 0.82540102120362691950581363862225 absolute error = 1.50028264345637382801798502e-06 relative error = 0.00018176441897886657207708183908905 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4207.6MB, alloc=4.4MB, time=408.78 NO POLE NO POLE x[1] = 0.1756 y2[1] (analytic) = 1.9846218967778735245413289777949 y2[1] (numeric) = 1.9845418580347551873138696708527 absolute error = 8.00387431183372274593069422e-05 relative error = 0.0040329466911699337055903606213935 % h = 0.0001 y1[1] (analytic) = 0.82530105785797506944670002075146 y1[1] (numeric) = 0.82530256612854878278211061344827 absolute error = 1.50827057371333541059269681e-06 relative error = 0.00018275398527029292033892175181032 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4211.4MB, alloc=4.4MB, time=409.06 NO POLE NO POLE x[1] = 0.1757 memory used=4215.3MB, alloc=4.4MB, time=409.33 y2[1] (analytic) = 1.9846044219605789587518397062072 y2[1] (numeric) = 1.9845240636258682806329419890342 absolute error = 8.03583347106781188977171730e-05 relative error = 0.0040490857433086134007797872034455 % h = 0.0001 y1[1] (analytic) = 0.82520259654195609572583920903376 y1[1] (numeric) = 0.8252041128323765916985793933182 absolute error = 1.51629042049597274018428444e-06 relative error = 0.00018374765504253710841791477014616 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4219.1MB, alloc=4.4MB, time=409.60 NO POLE NO POLE x[1] = 0.1758 y2[1] (analytic) = 1.9845869372972401815615976940376 y2[1] (numeric) = 1.984506258517299854516244155081 absolute error = 8.06787799403270453535389566e-05 relative error = 0.0040652681131823571522858401924673 % h = 0.0001 y1[1] (analytic) = 0.82510413697391115512877241172618 y1[1] (numeric) = 0.8251056613161802651766512102633 absolute error = 1.52434226911004787879853712e-06 relative error = 0.00018474544009688389552603586698134 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4222.9MB, alloc=4.4MB, time=409.87 NO POLE NO POLE x[1] = 0.1759 y2[1] (analytic) = 1.9845694427880320396038450076606 y2[1] (numeric) = 1.9844884427080653132841472594229 absolute error = 8.10000799667263196977482377e-05 relative error = 0.0040814938605994539132766031217132 % h = 0.0001 y1[1] (analytic) = 0.82500567915482484333512853839929 y1[1] (numeric) = 0.82500721158102982059819932827199 absolute error = 1.53242620497726307078987270e-06 relative error = 0.0001857473522542479399906147772534 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4226.7MB, alloc=4.4MB, time=410.14 memory used=4230.5MB, alloc=4.4MB, time=410.42 NO POLE NO POLE x[1] = 0.176 y2[1] (analytic) = 1.9845519384331294779705172790773 y2[1] (numeric) = 1.9844706161971800787466086659491 absolute error = 8.13222359493992239086131282e-05 relative error = 0.0040977630453756662639538705695822 % h = 0.0001 y1[1] (analytic) = 0.82490722308568173853495022516409 y1[1] (numeric) = 0.82490876362799537380379057695888 absolute error = 1.54054231363526884035179479e-06 relative error = 0.00018675340335518619620377395970581 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4234.3MB, alloc=4.4MB, time=410.69 NO POLE NO POLE x[1] = 0.1761 y2[1] (analytic) = 1.9845344242327075402104942549967 y2[1] (numeric) = 1.9844527789836595902130177939007 absolute error = 8.16452490479499974764610960e-05 relative error = 0.0041140757273342330820150389875386 % h = 0.0001 y1[1] (analytic) = 0.82480876876746640141884805277977 y1[1] (numeric) = 0.82481031745814713909093590064689 absolute error = 1.54869068073767208784786712e-06 relative error = 0.00018776360525991031940452680679775 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4238.1MB, alloc=4.4MB, time=410.98 memory used=4242.0MB, alloc=4.4MB, time=411.26 NO POLE NO POLE x[1] = 0.1762 y2[1] (analytic) = 1.9845169001869413683278493613489 y2[1] (numeric) = 1.9844349310665193045020417247685 absolute error = 8.19691204220638258076365804e-05 relative error = 0.0041304319663058722136341337782014 % h = 0.0001 y1[1] (analytic) = 0.82471031620116337516815493975583 y1[1] (numeric) = 0.82471187307255542921233992287988 absolute error = 1.55687139205404418498312405e-06 relative error = 0.00018877796984829907829870819301474 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4245.8MB, alloc=4.4MB, time=411.52 NO POLE NO POLE x[1] = 0.1763 y2[1] (analytic) = 1.9844993662960062027800982832456 y2[1] (numeric) = 1.9844170724447746959514706340981 absolute error = 8.22938512315068286276491475e-05 relative error = 0.0041468318221287831449621625684244 % h = 0.0001 y1[1] (analytic) = 0.82461186538775718544508071054695 y1[1] (numeric) = 0.82461343047229065537414952638341 absolute error = 1.56508453346992906881583646e-06 relative error = 0.00018979650901991077552191317261551 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4249.6MB, alloc=4.4MB, time=411.79 memory used=4253.4MB, alloc=4.4MB, time=412.07 NO POLE NO POLE x[1] = 0.1764 y2[1] (analytic) = 1.9844818225600773824764465604067 y2[1] (numeric) = 1.9843992031174412564280630481038 absolute error = 8.26194426361260483835123029e-05 relative error = 0.0041632753546486496741469848686375 % h = 0.0001 y1[1] (analytic) = 0.82451341632823234038286683893909 y1[1] (numeric) = 0.82451498965842332723420144849101 absolute error = 1.57333019098685133460955192e-06 relative error = 0.00019081923469399567595062328268626 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4257.2MB, alloc=4.4MB, time=412.34 NO POLE NO POLE x[1] = 0.1765 y2[1] (analytic) = 1.9844642689793303447760361980694 y2[1] (numeric) = 1.9843813230835344953373909249928 absolute error = 8.29458957958494386452730766e-05 relative error = 0.0041797626237186425838728882387614 % h = 0.0001 y1[1] (analytic) = 0.8244149690235733305759413667253 y1[1] (numeric) = 0.82441655063202405290026889205362 absolute error = 1.58160845072232432752532832e-06 relative error = 0.00019184615880950844286670362899824 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4261.0MB, alloc=4.4MB, time=412.61 memory used=4264.8MB, alloc=4.4MB, time=412.89 NO POLE NO POLE x[1] = 0.1766 y2[1] (analytic) = 1.9844467055539406254861912933981 y2[1] (numeric) = 1.9843634323420699396336845609014 absolute error = 8.32732118706858525067324967e-05 relative error = 0.0041962936891994223144200612166508 % h = 0.0001 y1[1] (analytic) = 0.82431652347476462907007399776962 y1[1] (numeric) = 0.8243181133941635389283071518496 absolute error = 1.58991939890985823315407998e-06 relative error = 0.00019287729332512058198045760329071 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4268.7MB, alloc=4.4MB, time=413.17 NO POLE NO POLE x[1] = 0.1767 y2[1] (analytic) = 1.9844291322840838588606626774131 y2[1] (numeric) = 1.9843455308920631338296773203443 absolute error = 8.36013920207250309853570688e-05 relative error = 0.0042128686109591416372441533301505 % h = 0.0001 y1[1] (analytic) = 0.82421807968279069135253136755757 y1[1] (numeric) = 0.82421967794591259032069825651298 absolute error = 1.59826312189896816688895541e-06 relative error = 0.00019391265021923289331742979216228 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4272.5MB, alloc=4.4MB, time=413.44 NO POLE NO POLE memory used=4276.3MB, alloc=4.4MB, time=413.71 x[1] = 0.1768 y2[1] (analytic) = 1.9844115491699357775978715724544 y2[1] (numeric) = 1.9843276187325296400064501910792 absolute error = 8.39304374061375914213813752e-05 relative error = 0.004229487448873448329076112422784 % h = 0.0001 y1[1] (analytic) = 0.82411963764863595534223248833174 y1[1] (numeric) = 0.82412124428834211052449462599739 absolute error = 1.60663970615518226213766565e-06 relative error = 0.00019495224148998793097415130485859 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4280.1MB, alloc=4.4MB, time=413.99 NO POLE NO POLE x[1] = 0.1769 y2[1] (analytic) = 1.9843939562116722128391522651986 y2[1] (numeric) = 1.9843096958624850378232761632877 absolute error = 8.42603491871750158761019109e-05 relative error = 0.0042461502628254878465424897192741 % h = 0.0001 y1[1] (analytic) = 0.82402119737328484137990436991079 y1[1] (numeric) = 0.82402281242252310142966174459333 absolute error = 1.61504923826004975737468254e-06 relative error = 0.00019599607915528247074802549726189 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4283.9MB, alloc=4.4MB, time=414.26 NO POLE NO POLE x[1] = 0.177 y2[1] (analytic) = 1.9843763534094690941669937952475 y2[1] (numeric) = 1.9842917622809449245274644329745 absolute error = 8.45911285241696395293622730e-05 relative error = 0.0042628571127059060013064030870092 % h = 0.0001 y1[1] (analytic) = 0.82392275885772175221823781629032 y1[1] (numeric) = 0.82392438234952666336731984951628 absolute error = 1.62349180491114908203322596e-06 relative error = 0.00019704417525277998564655573371212 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4287.7MB, alloc=4.4MB, time=414.54 memory used=4291.6MB, alloc=4.4MB, time=414.81 NO POLE NO POLE x[1] = 0.1771 y2[1] (analytic) = 1.9843587407635024496032806593043 y2[1] (numeric) = 1.9842738179869249149642044294859 absolute error = 8.49227765775346390762298184e-05 relative error = 0.0042796080584128516357293489139991 % h = 0.0001 y1[1] (analytic) = 0.82382432210293107301204339812426 y1[1] (numeric) = 0.82382595407042399510798463508329 absolute error = 1.63196749292209594123695903e-06 relative error = 0.00019809654183992312928112052698677 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4295.4MB, alloc=4.4MB, time=415.10 NO POLE NO POLE x[1] = 0.1772 y2[1] (analytic) = 1.9843411182739484056075325309565 y2[1] (numeric) = 1.9842558629794406415864096670499 absolute error = 8.52552945077640211228639066e-05 relative error = 0.0042964031598519792990540531697115 % h = 0.0001 y1[1] (analytic) = 0.82372588710989717130840760118491 y1[1] (numeric) = 0.82372752758628639385980697249559 absolute error = 1.64047638922255139937131068e-06 relative error = 0.00019915319099394622715050515537248 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4299.2MB, alloc=4.4MB, time=415.37 memory used=4303.0MB, alloc=4.4MB, time=415.64 NO POLE NO POLE x[1] = 0.1773 y2[1] (analytic) = 1.984323485940983187075142996082 y2[1] (numeric) = 1.9842378972575077544645614202388 absolute error = 8.55886834754326105815758432e-05 relative error = 0.0043132424769364519241085522048513 % h = 0.0001 y1[1] (analytic) = 0.82362745387960439703684915090027 y1[1] (numeric) = 0.82362910289818525526681164524487 absolute error = 1.64901858085822996249434460e-06 relative error = 0.00020021413481188777581940251772139 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4306.8MB, alloc=4.4MB, time=415.91 NO POLE NO POLE x[1] = 0.1774 y2[1] (analytic) = 1.9843058437647831173356173038966 y2[1] (numeric) = 1.9842199208201419212965522232561 absolute error = 8.59229446411960390650806405e-05 relative error = 0.0043301260695869435045316939366056 % h = 0.0001 y1[1] (analytic) = 0.8235290224130370824994755130671 y1[1] (numeric) = 0.8235306800071920734071351001608 absolute error = 1.65759415499090765958709370e-06 relative error = 0.00020127938541060294999709971529675 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4310.6MB, alloc=4.4MB, time=416.18 memory used=4314.4MB, alloc=4.4MB, time=416.46 NO POLE NO POLE x[1] = 0.1775 y2[1] (analytic) = 1.9842881917455246181508091336608 y2[1] (numeric) = 1.9842019336663588274175291929495 absolute error = 8.62580791657907332799407113e-05 relative error = 0.0043470539977316417725202501009363 % h = 0.0001 y1[1] (analytic) = 0.82343059271117954236113957083801 y1[1] (numeric) = 0.82343225891437844079126221411746 absolute error = 1.66620319889843012264327945e-06 relative error = 0.00020234895492677611752157059457744 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4318.3MB, alloc=4.4MB, time=416.73 NO POLE NO POLE x[1] = 0.1776 y2[1] (analytic) = 1.9842705298833842097131563770622 y2[1] (numeric) = 1.9841839357951741758097371754511 absolute error = 8.65940882100339034192016111e-05 relative error = 0.004364026321306250877097830258342 % h = 0.0001 y1[1] (analytic) = 0.82333216477501607363959647808116 y1[1] (numeric) = 0.82333383962081604836026207641626 absolute error = 1.67484579997472066559833510e-06 relative error = 0.00020342285551693336225419815936308 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4322.1MB, alloc=4.4MB, time=417.02 memory used=4325.9MB, alloc=4.4MB, time=417.30 NO POLE NO POLE x[1] = 0.1777 y2[1] (analytic) = 1.9842528581785385106439159362927 y2[1] (numeric) = 1.9841659272056036871123617163468 absolute error = 8.69309729348235315542199459e-05 relative error = 0.0043810431002539940629057883905143 % h = 0.0001 y1[1] (analytic) = 0.8232337386055309556956606892109 y1[1] (numeric) = 0.82323542212757668548402278686305 absolute error = 1.68352204572978836209765215e-06 relative error = 0.0002045010993574550148903545274046 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4329.7MB, alloc=4.4MB, time=417.57 NO POLE NO POLE x[1] = 0.1778 y2[1] (analytic) = 1.9842351766311642379913975378379 y2[1] (numeric) = 1.9841479078966630996313718542763 absolute error = 8.72687345011383600256835616e-05 relative error = 0.0043981043945256163495163129150756 % h = 0.0001 y1[1] (analytic) = 0.8231353142037084502233631655878 y1[1] (numeric) = 0.82313700643573223995948526955701 absolute error = 1.69223202378973612210396921e-06 relative error = 0.00020558369864458819169106980369428 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4333.5MB, alloc=4.4MB, time=417.84 memory used=4337.3MB, alloc=4.4MB, time=418.12 NO POLE NO POLE x[1] = 0.1779 y2[1] (analytic) = 1.9842174852414382072291965619948 y2[1] (numeric) = 1.9841298778673681693493627378652 absolute error = 8.76073740700378798338241296e-05 relative error = 0.0044152102640793872112678909252942 % h = 0.0001 y1[1] (analytic) = 0.82303689157053280124010875858659 y1[1] (numeric) = 0.82303859254635469800887610240903 absolute error = 1.70097582189676876734382244e-06 relative error = 0.00020667066559445934114102497632278 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4341.1MB, alloc=4.4MB, time=418.40 NO POLE NO POLE x[1] = 0.178 y2[1] (analytic) = 1.9841997840095373322544258881378 y2[1] (numeric) = 1.9841118371167346699353980658907 absolute error = 8.79468928026623190278222471e-05 relative error = 0.0044323607688811032576233377084855 % h = 0.0001 y1[1] (analytic) = 0.82293847070698823507683376943031 y1[1] (numeric) = 0.82294018046051614427793936240722 absolute error = 1.70975352790920110559297691e-06 relative error = 0.00020776201244308679853810768961781 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4345.0MB, alloc=4.4MB, time=418.67 NO POLE NO POLE memory used=4348.8MB, alloc=4.4MB, time=418.94 x[1] = 0.1781 y2[1] (analytic) = 1.9841820729356386253859467557488 y2[1] (numeric) = 1.9840937856437783927548523505829 absolute error = 8.82872918602326310944051659e-05 relative error = 0.0044495559689040909140505824102525 % h = 0.0001 y1[1] (analytic) = 0.82284005161405896036816368588909 y1[1] (numeric) = 0.82284177017928876183416748664726 absolute error = 1.71856522980146600380075817e-06 relative error = 0.00020885775144639334851977347667781 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4352.6MB, alloc=4.4MB, time=419.22 NO POLE NO POLE x[1] = 0.1782 y2[1] (analytic) = 1.9841643520199191973625986412301 y2[1] (numeric) = 1.9840757234475151468792530039629 absolute error = 8.86285724040504833456372672e-05 relative error = 0.0044667959241292091034264009485003 % h = 0.0001 y1[1] (analytic) = 0.82274163429272916804257109594217 y1[1] (numeric) = 0.82274336170374483216503114914528 absolute error = 1.72741101566412246005320311e-06 relative error = 0.00020995789488021879553145874423969 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4356.4MB, alloc=4.4MB, time=419.49 NO POLE NO POLE x[1] = 0.1783 y2[1] (analytic) = 1.9841466212625562573414281505177 y2[1] (numeric) = 1.9840576505269607590961222471192 absolute error = 8.89707355954982453059033985e-05 relative error = 0.0044840806945448519279632872609489 % h = 0.0001 y1[1] (analytic) = 0.82264321874398303131253377850133 y1[1] (numeric) = 0.82264495503495673517620815345093 absolute error = 1.73629097370386367437494960e-06 relative error = 0.00021106245504033254224229559186753 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4360.2MB, alloc=4.4MB, time=419.76 memory used=4364.0MB, alloc=4.4MB, time=420.05 NO POLE NO POLE x[1] = 0.1784 y2[1] (analytic) = 1.9841288806637271128959169275118 y2[1] (numeric) = 1.9840395668811310739188188423243 absolute error = 8.93137825960389770980851875e-05 relative error = 0.0045014103401469513516596539597489 % h = 0.0001 y1[1] (analytic) = 0.82254480496880470566469297129434 y1[1] (numeric) = 0.82254655017399694918981134107837 absolute error = 1.74520519224352511836978403e-06 relative error = 0.00021217144424244617591338224460845 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4367.8MB, alloc=4.4MB, time=420.31 NO POLE NO POLE x[1] = 0.1785 y2[1] (analytic) = 1.9841111302236091700142085783442 y2[1] (numeric) = 1.9840214725090419535963796478929 absolute error = 8.96577145672164178289304513e-05 relative error = 0.00451878492093897988327355368854 % h = 0.0001 y1[1] (analytic) = 0.82244639296817832885001181600672 y1[1] (numeric) = 0.82244814712193805094261551577295 absolute error = 1.75415375972209260369976623e-06 relative error = 0.00021328487482222606272386666701989 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4371.7MB, alloc=4.4MB, time=420.58 memory used=4375.5MB, alloc=4.4MB, time=420.86 NO POLE NO POLE x[1] = 0.1786 y2[1] (analytic) = 1.9840933699423799330973346114976 y2[1] (numeric) = 1.9840033674097092781233609956835 absolute error = 9.00025326706549739736158141e-05 relative error = 0.0045362044969319532598201122706686 % h = 0.0001 y1[1] (analytic) = 0.82234798274308802087393398078034 y1[1] (numeric) = 0.82234974587985271558428338363127 absolute error = 1.76313676469471034940285093e-06 relative error = 0.00021440275913530595006010463547804 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4379.3MB, alloc=4.4MB, time=421.13 NO POLE NO POLE x[1] = 0.1787 y2[1] (analytic) = 1.9840755998202170049574393937972 y2[1] (numeric) = 1.9839852515821489452496798911444 absolute error = 9.03482380680597077595026528e-05 relative error = 0.0045536691281444331305928651001686 % h = 0.0001 y1[1] (analytic) = 0.82224957429451788398654246016717 y1[1] (numeric) = 0.82225134644881371667559050909231 absolute error = 1.77215429583268904804892514e-06 relative error = 0.00021552510955729957677315732320649 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4383.1MB, alloc=4.4MB, time=421.40 memory used=4386.9MB, alloc=4.4MB, time=421.67 NO POLE NO POLE x[1] = 0.1788 y2[1] (analytic) = 1.9840578198572980868160041222907 y2[1] (numeric) = 1.9839671250253768704904550358064 absolute error = 9.06948319212163255490864843e-05 relative error = 0.0045711788746025297417091879953277 % h = 0.0001 y1[1] (analytic) = 0.82215116762345200267271855263664 y1[1] (numeric) = 0.82215294882989392618664928681748 absolute error = 1.78120644192351393073418084e-06 relative error = 0.00021665193848381329140989720737517 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4390.7MB, alloc=4.4MB, time=421.94 NO POLE NO POLE x[1] = 0.1789 y2[1] (analytic) = 1.9840400300538009783020698120348 y2[1] (numeric) = 1.9839489877384089871358476721235 absolute error = 9.10423153919911662221399113e-05 relative error = 0.0045887337963399046211800139363195 % h = 0.0001 y1[1] (analytic) = 0.82205276273087444364230101573505 y1[1] (numeric) = 0.82205455302416631449513192947731 absolute error = 1.79029329187085283091374226e-06 relative error = 0.00021778325833045867842299485083092 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4394.5MB, alloc=4.4MB, time=422.21 memory used=4398.4MB, alloc=4.4MB, time=422.49 NO POLE NO POLE x[1] = 0.179 y2[1] (analytic) = 1.9840222304099035774504592998064 y2[1] (numeric) = 1.983930839720261246260902250563 absolute error = 9.13906896423311895570492434e-05 relative error = 0.0046063339533977732645040271588705 % h = 0.0001 y1[1] (analytic) = 0.82195435961776925582024539899536 y1[1] (numeric) = 0.82195615903270395038449247146248 absolute error = 1.79941493469456424707246712e-06 relative error = 0.00021891908153286519236506288145079 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4402.2MB, alloc=4.4MB, time=422.76 NO POLE NO POLE x[1] = 0.1791 y2[1] (analytic) = 1.9840044209257838806999982637559 y2[1] (numeric) = 1.9839126809699496167353869188469 absolute error = 9.17399558342639646113449090e-05 relative error = 0.0046239794058249078207865260609195 % h = 0.0001 y1[1] (analytic) = 0.82185595828512047033678355469587 y1[1] (numeric) = 0.8218577668565800010421877885371 absolute error = 1.80857145953070540423384123e-06 relative error = 0.00022005942054669280007223725815194 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4406.0MB, alloc=4.4MB, time=423.03 NO POLE NO POLE memory used=4409.8MB, alloc=4.4MB, time=423.30 x[1] = 0.1792 y2[1] (analytic) = 1.9839866016016199828917352590203 y2[1] (numeric) = 1.983894511486490085233633833246 absolute error = 9.20901151298976581014257743e-05 relative error = 0.0046416702136776397793831464700725 % h = 0.0001 y1[1] (analytic) = 0.82175755873391210051758332656606 y1[1] (numeric) = 0.82175937649686773205789763345195 absolute error = 1.81776295563154031430688589e-06 relative error = 0.00022120428784764463084247968276041 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4413.6MB, alloc=4.4MB, time=423.57 NO POLE NO POLE x[1] = 0.1793 y2[1] (analytic) = 1.9839687724375900772671607693142 y2[1] (numeric) = 1.9838763312688986562443792918284 absolute error = 9.24411686914210227814774858e-05 relative error = 0.0046594064370198626570686368752492 % h = 0.0001 y1[1] (analytic) = 0.82165916096512814187390841653814 y1[1] (numeric) = 0.82166098795464050742174368753544 absolute error = 1.82698951236554783527099730e-06 relative error = 0.00022235369593147963461388875716161 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4417.4MB, alloc=4.4MB, time=423.84 NO POLE NO POLE x[1] = 0.1794 y2[1] (analytic) = 1.9839509334338724554664252745165 y2[1] (numeric) = 1.9838581403161913520806036895638 absolute error = 9.27931176811033858215849527e-05 relative error = 0.0046771881359230346857308772764838 % h = 0.0001 y1[1] (analytic) = 0.82156076497975257209277842964259 y1[1] (numeric) = 0.82156260123097178952250762828023 absolute error = 1.83625121921742972919863764e-06 relative error = 0.00022350765731402524814831131102442 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4421.3MB, alloc=4.4MB, time=424.11 memory used=4425.1MB, alloc=4.4MB, time=424.39 NO POLE NO POLE x[1] = 0.1795 y2[1] (analytic) = 1.9839330845906455075265563342702 y2[1] (numeric) = 1.9838399386273842128893712951858 absolute error = 9.31459632612946371850390844e-05 relative error = 0.0046950153704661815005903332969545 % h = 0.0001 y1[1] (analytic) = 0.82146237077876935102712909714619 y1[1] (numeric) = 0.82146421632693513914584821294317 absolute error = 1.84554816578811871911579698e-06 relative error = 0.00022466618453119006922554903858343 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4428.9MB, alloc=4.4MB, time=424.66 NO POLE NO POLE x[1] = 0.1796 y2[1] (analytic) = 1.983915225908087721879674687614 y2[1] (numeric) = 1.9838217262014932966616698497127 absolute error = 9.34997065944252180048379013e-05 relative error = 0.004712888200735898828945137403134 % h = 0.0001 y1[1] (analytic) = 0.82136397836316242068597267803085 y1[1] (numeric) = 0.82136583324360421547251737817655 absolute error = 1.85488044179478654470014570e-06 relative error = 0.00022582929013897653885345942318926 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4432.7MB, alloc=4.4MB, time=424.93 memory used=4436.5MB, alloc=4.4MB, time=425.21 NO POLE NO POLE x[1] = 0.1797 y2[1] (analytic) = 1.983897357386377685351209368662 y2[1] (numeric) = 1.9838035030375346792422499865297 absolute error = 9.38543488430061089593821323e-05 relative error = 0.0047308066868263551794419888876525 % h = 0.0001 y1[1] (analytic) = 0.82126558773391570522455853891168 y1[1] (numeric) = 0.82126745198205277607657535570837 absolute error = 1.86424813707085201681679669e-06 relative error = 0.0002269969867134936314992536583071 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4440.3MB, alloc=4.4MB, time=425.48 NO POLE NO POLE x[1] = 0.1798 y2[1] (analytic) = 1.9838794790256940831581118383514 y2[1] (numeric) = 1.9837852691345244543394644729331 absolute error = 9.42098911696288186473654183e-05 relative error = 0.0047487708888392945318730646174967 % h = 0.0001 y1[1] (analytic) = 0.82116719889201311093453391249271 y1[1] (numeric) = 0.82116907254335467692360480408951 absolute error = 1.87365134156598907089159680e-06 relative error = 0.00022816928685096955334729808076413 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4444.1MB, alloc=4.4MB, time=425.75 memory used=4448.0MB, alloc=4.4MB, time=426.03 NO POLE NO POLE x[1] = 0.1799 y2[1] (analytic) = 1.983861590826215698907069132274 y2[1] (numeric) = 1.9837670244914787335351072730385 absolute error = 9.45663347369653719618592355e-05 relative error = 0.0047667808668840390274991323236268 % h = 0.0001 y1[1] (analytic) = 0.8210688118384385262341048346586 y1[1] (numeric) = 0.82107069492858387236892395652574 absolute error = 1.88309014534613481912186714e-06 relative error = 0.00022934620316776444858872943358933 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4451.8MB, alloc=4.4MB, time=426.30 NO POLE NO POLE x[1] = 0.18 y2[1] (analytic) = 1.9838436927881214145927160246115 y2[1] (numeric) = 1.9837487691074136462942524319547 absolute error = 9.49236807077682984635926568e-05 relative error = 0.0047848366810774916598990584856035 % h = 0.0001 y1[1] (analytic) = 0.82097042657417582165819726030079 y1[1] (numeric) = 0.82097231913881441515579878481232 absolute error = 1.89256463859349760152451153e-06 relative error = 0.0002305277483003831137481980278964 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4455.6MB, alloc=4.4MB, time=426.56 memory used=4459.4MB, alloc=4.4MB, time=426.85 NO POLE NO POLE x[1] = 0.1801 y2[1] (analytic) = 1.98382578491159021059584620819 y2[1] (numeric) = 1.9837305029813453399750927811248 absolute error = 9.52819302448706207534270652e-05 relative error = 0.0048029383915441389663459026937558 % h = 0.0001 y1[1] (analytic) = 0.82087204310020884984861835797645 y1[1] (numeric) = 0.82087394517512045641365417938915 absolute error = 1.90207491160656503582141270e-06 relative error = 0.00023171393490548772005305670134766 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4463.2MB, alloc=4.4MB, time=427.13 NO POLE NO POLE x[1] = 0.1802 y2[1] (analytic) = 1.9838078671968011656816224906737 y2[1] (numeric) = 1.9837122261122899798387784647361 absolute error = 9.56410845111858428440259376e-05 relative error = 0.0048210860584160537197097906489796 % h = 0.0001 y1[1] (analytic) = 0.82077366141752144554421798349857 y1[1] (numeric) = 0.82077557303857624565628414553433 absolute error = 1.91162105480011206616203576e-06 relative error = 0.00023290477565991054385031725549494 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4467.0MB, alloc=4.4MB, time=427.40 memory used=4470.8MB, alloc=4.4MB, time=427.68 NO POLE NO POLE x[1] = 0.1803 y2[1] (analytic) = 1.9837899396439334569977860069151 y2[1] (numeric) = 1.9836939384992637490592552871003 absolute error = 9.60011446697079385307198148e-05 relative error = 0.0048392797418328976208877578799632 % h = 0.0001 y1[1] (analytic) = 0.82067528152709742557105033255572 y1[1] (numeric) = 0.82067720273025613078006101571401 absolute error = 1.92120315870520901068315829e-06 relative error = 0.00023410028326066670507669983100593 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4474.7MB, alloc=4.4MB, time=427.96 NO POLE NO POLE x[1] = 0.1804 y2[1] (analytic) = 1.9837720022531663600728644474786 y2[1] (numeric) = 1.983675640141282848733102880906 absolute error = 9.63621118835113397615665726e-05 relative error = 0.0048575195019419239917607562630495 % h = 0.0001 y1[1] (analytic) = 0.82057690342992058883253577245962 y1[1] (numeric) = 0.82057883425123455806214367810647 absolute error = 1.93082131396922960790564685e-06 relative error = 0.00023530047042496691378710453496489 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4478.5MB, alloc=4.4MB, time=428.23 NO POLE NO POLE memory used=4482.3MB, alloc=4.4MB, time=428.50 x[1] = 0.1805 y2[1] (analytic) = 1.9837540550246792488143793033572 y2[1] (numeric) = 1.9836573310373634978893726962445 absolute error = 9.67239873157509250066071127e-05 relative error = 0.0048758053988979804686780156722878 % h = 0.0001 y1[1] (analytic) = 0.82047852712697471629962285311924 y1[1] (numeric) = 0.82048046760258607215868482131836 absolute error = 1.94047561135585906196819912e-06 relative error = 0.00023650534989023022474683836585778 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4486.1MB, alloc=4.4MB, time=428.80 NO POLE NO POLE x[1] = 0.1806 y2[1] (analytic) = 1.9837360979586515955070521268983 y2[1] (numeric) = 1.9836390111865219334994258103113 absolute error = 9.70867721296620076263165870e-05 relative error = 0.0048941374928635116964689528809788 % h = 0.0001 y1[1] (analytic) = 0.82038015261924357100095049733942 y1[1] (numeric) = 0.82038210278538531610303719531096 absolute error = 1.95016614174510208669797154e-06 relative error = 0.00023771493441409680009293436850247 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4489.9MB, alloc=4.4MB, time=429.07 NO POLE NO POLE x[1] = 0.1807 y2[1] (analytic) = 1.9837181310552629708110098089584 y2[1] (numeric) = 1.983620680587774410486770557684 absolute error = 9.74504674885603242392512744e-05 relative error = 0.0049125158440085620229828201640943 % h = 0.0001 y1[1] (analytic) = 0.82028177990771089801301037054274 y1[1] (numeric) = 0.82028373980070703130395888855446 absolute error = 1.95989299613329094851801172e-06 relative error = 0.00023892923677444068006990368725731 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4493.7MB, alloc=4.4MB, time=429.33 memory used=4497.5MB, alloc=4.4MB, time=429.61 NO POLE NO POLE x[1] = 0.1808 y2[1] (analytic) = 1.9837001543146930437599888723031 y2[1] (numeric) = 1.9836023392401372017368999810794 absolute error = 9.78150745558420230888912237e-05 relative error = 0.0049309405125107781941562858245794 % h = 0.0001 y1[1] (analytic) = 0.82018340899336042445030943001277 y1[1] (numeric) = 0.82018537864962605754381762142821 absolute error = 1.96965626563309350819141544e-06 relative error = 0.00024014826976938256184526506499236 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4501.4MB, alloc=4.4MB, time=429.89 NO POLE NO POLE x[1] = 0.1809 y2[1] (analytic) = 1.9836821677371215817595387812711 y2[1] (numeric) = 1.98358398714262659810712910249 absolute error = 9.81805944949836524096787811e-05 relative error = 0.0049494115585554120496091391644251 % h = 0.0001 y1[1] (analytic) = 0.82008503987717585945553265375719 y1[1] (numeric) = 0.82008701933321733297679405588481 absolute error = 1.97945604147352126140212762e-06 relative error = 0.00024137204621730258641020009675672 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4505.2MB, alloc=4.4MB, time=430.16 memory used=4509.0MB, alloc=4.4MB, time=430.43 NO POLE NO POLE x[1] = 0.181 y2[1] (analytic) = 1.9836641713227284505852242677207 y2[1] (numeric) = 1.983565624294258908436432014603 absolute error = 9.85470284695421487922531177e-05 relative error = 0.0049679290423353232187683123160411 % h = 0.0001 y1[1] (analytic) = 0.81998667256014089418970594908918 y1[1] (numeric) = 0.81998866185255589412708412139617 absolute error = 1.98929241499993737817230699e-06 relative error = 0.00024260057895685313357068640775959 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4512.8MB, alloc=4.4MB, time=430.70 NO POLE NO POLE x[1] = 0.1811 y2[1] (analytic) = 1.983646165071693614380826673275 y2[1] (numeric) = 1.983547250694050459555278792402 absolute error = 9.89143776431548255478808730e-05 relative error = 0.004986493024050981817520411430632 % h = 0.0001 y1[1] (analytic) = 0.81988830704323920182235924102532 y1[1] (numeric) = 0.8198903062087168758871003571993 absolute error = 1.99916547767406474111617398e-06 relative error = 0.00024383388084697162503446472066135 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4516.6MB, alloc=4.4MB, time=430.97 memory used=4520.4MB, alloc=4.4MB, time=431.25 NO POLE NO POLE x[1] = 0.1812 y2[1] (analytic) = 1.9836281489841971356565443078861 y2[1] (numeric) = 1.9835288663410175962954722248545 absolute error = 9.92826431795393610720830316e-05 relative error = 0.0050051035639104711453929498317132 % h = 0.0001 y1[1] (analytic) = 0.81978994332745443752168974059851 y1[1] (numeric) = 0.81979195240277551151567227086005 absolute error = 2.00907532107399398253026154e-06 relative error = 0.000245071964766893335599199624269 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4524.3MB, alloc=4.4MB, time=431.52 NO POLE NO POLE x[1] = 0.1813 y2[1] (analytic) = 1.9836101230604191752871918247345 y2[1] (numeric) = 1.9835104712341766814999843665853 absolute error = 9.96518262424937872074581492e-05 relative error = 0.0050237607221294903832644757374304 % h = 0.0001 y1[1] (analytic) = 0.81969158141377023844472539318417 y1[1] (numeric) = 0.81969360043580713263624571317259 absolute error = 2.01902203689419152031998842e-06 relative error = 0.00024631484361616421244719766067031 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4528.1MB, alloc=4.4MB, time=431.79 memory used=4531.9MB, alloc=4.4MB, time=432.06 NO POLE NO POLE x[1] = 0.1814 y2[1] (analytic) = 1.9835920873005399925103986114822 y2[1] (numeric) = 1.9834920653725440960327929094388 absolute error = 0.0001000219279958964776057020434 relative error = 0.0050424645589313572916037871760806 % h = 0.0001 y1[1] (analytic) = 0.81959322130317022372748850693819 y1[1] (numeric) = 0.81959525030888716923508126941279 absolute error = 2.02900571694550759276247460e-06 relative error = 0.00024756253031465370255205019720029 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4535.7MB, alloc=4.4MB, time=432.33 NO POLE NO POLE x[1] = 0.1815 y2[1] (analytic) = 1.9835740417047399449248061978982 y2[1] (numeric) = 1.9834736487551362387887173738309 absolute error = 0.0001003929496037061360888240673 relative error = 0.0050612151345470109092384268962767 % h = 0.0001 y1[1] (analytic) = 0.81949486299663799447515956144487 y1[1] (numeric) = 0.8194969020230911496594516669634 absolute error = 2.03902645315518429210551853e-06 relative error = 0.00024881503780256758820257237878962 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4539.5MB, alloc=4.4MB, time=432.60 memory used=4543.3MB, alloc=4.4MB, time=432.89 NO POLE NO POLE x[1] = 0.1816 y2[1] (analytic) = 1.9835559862731994884882646798735 y2[1] (numeric) = 1.9834552213809695267032551197929 absolute error = 0.0001007648922299617850095600806 relative error = 0.0050800125092150142526526499578708 % h = 0.0001 y1[1] (analytic) = 0.81939650649515713375224119667334 y1[1] (numeric) = 0.81939855557949470061583819932917 absolute error = 2.04908433756686359700265583e-06 relative error = 0.00025007237904046083064941329080123 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4547.1MB, alloc=4.4MB, time=433.15 NO POLE NO POLE x[1] = 0.1817 y2[1] (analytic) = 1.983537921006099177516028159844 y2[1] (numeric) = 1.9834367832490603947624171776079 absolute error = 0.0001011377570387827536109822361 relative error = 0.0050988567431815570158150569021225 % h = 0.0001 y1[1] (analytic) = 0.81929815179971120657272238234072 y1[1] (numeric) = 0.81930021097917354716812616655984 absolute error = 2.05917946234059540378421912e-06 relative error = 0.00025133456700925042187971630364445 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4551.0MB, alloc=4.4MB, time=433.42 NO POLE NO POLE x[1] = 0.1818 y2[1] (analytic) = 1.9835198459036196646789492036398 y2[1] (numeric) = 1.9834183343584252960125638979427 absolute error = 0.0001015115451943686663853056971 relative error = 0.0051177478967004582705360853296823 % h = 0.0001 y1[1] (analytic) = 0.81919979891128375989024276778042 y1[1] (numeric) = 0.81920186822320351273579933209908 absolute error = 2.06931191975284555656431866e-06 relative error = 0.00025260161471022824452521241338936 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4554.8MB, alloc=4.4MB, time=433.69 memory used=4558.6MB, alloc=4.4MB, time=433.97 NO POLE NO POLE x[1] = 0.1819 y2[1] (analytic) = 1.9835017609659417010016723137775 y2[1] (numeric) = 1.9833998747080807015702404213762 absolute error = 0.0001018862578609994314318924013 relative error = 0.0051366860300331691673555527710977 % h = 0.0001 y1[1] (analytic) = 0.81910144783085832258825721241394 y1[1] (numeric) = 0.81910352731266051909213339607752 absolute error = 2.07948180219650387618366358e-06 relative error = 0.00025387353516507393990913324949759 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4562.4MB, alloc=4.4MB, time=434.24 NO POLE NO POLE x[1] = 0.182 y2[1] (analytic) = 1.983483666193246135860826419216 y2[1] (numeric) = 1.9833814042970431006320119672254 absolute error = 0.0001022618962030352288144519906 relative error = 0.0051556712034487756369604439772358 % h = 0.0001 y1[1] (analytic) = 0.81900309855941840547020049692454 y1[1] (numeric) = 0.81900518824862058636238848506775 absolute error = 2.08968920218089218798814321e-06 relative error = 0.00025515034141586778423733423548889 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4566.2MB, alloc=4.4MB, time=434.52 memory used=4570.0MB, alloc=4.4MB, time=434.79 NO POLE NO POLE x[1] = 0.1821 y2[1] (analytic) = 1.9834655615857139169832163815915 y2[1] (numeric) = 1.9833629231243290004842989415717 absolute error = 0.0001026384613849164989174400198 relative error = 0.0051747034772240010921331354855086 % h = 0.0001 y1[1] (analytic) = 0.81890475109794750124965221523106 y1[1] (numeric) = 0.8189068510321598330220006583196 absolute error = 2.09993421233177234844308854e-06 relative error = 0.00025643204652510357293902230247682 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4573.8MB, alloc=4.4MB, time=435.06 NO POLE NO POLE x[1] = 0.1822 y2[1] (analytic) = 1.9834474471435260904440135179505 y2[1] (numeric) = 1.9833444311889549265132118643886 absolute error = 0.0001030159545711639308016535619 relative error = 0.0051937829116432091302302506058865 % h = 0.0001 y1[1] (analytic) = 0.81880640544742908454050184736032 y1[1] (numeric) = 0.81880851566435447589477243049356 absolute error = 2.11021692539135427058313324e-06 relative error = 0.00025771866357570151316248633588351 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4577.7MB, alloc=4.4MB, time=435.33 memory used=4581.5MB, alloc=4.4MB, time=435.61 NO POLE NO POLE x[1] = 0.1823 y2[1] (analytic) = 1.9834293228668638006649451400003 y2[1] (numeric) = 1.9833259284899374222143861156722 absolute error = 0.0001033943769263784505590243281 relative error = 0.0052129095669984062361923380420379 % h = 0.0001 y1[1] (analytic) = 0.81870806160884661184711401331646 y1[1] (numeric) = 0.81871018214628083015106231091057 absolute error = 2.12053743421830394829759411e-06 relative error = 0.00025901020567102112443123244595088 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4585.3MB, alloc=4.4MB, time=435.88 NO POLE NO POLE x[1] = 0.1824 y2[1] (analytic) = 1.9834111887559082904124831098928 y2[1] (numeric) = 1.9833074150262930492028165004768 absolute error = 0.000103773729615241209666609416 relative error = 0.0052320835035892444860845671822199 % h = 0.0001 y1[1] (analytic) = 0.81860971958318352155449390804544 y1[1] (numeric) = 0.81861185047901530930597335933629 absolute error = 2.13089583178775147945129085e-06 relative error = 0.00026030668593487414746593001470895 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4589.1MB, alloc=4.4MB, time=436.15 memory used=4592.9MB, alloc=4.4MB, time=436.43 NO POLE NO POLE x[1] = 0.1825 y2[1] (analytic) = 1.9833930448108409007960314125614 y2[1] (numeric) = 1.9832888907970383872226916327568 absolute error = 0.0001041540138025135733397798046 relative error = 0.0052513047817230242511686334028885 % h = 0.0001 y1[1] (analytic) = 0.8185113793714232339184529175932 y1[1] (numeric) = 0.81851352066363442521754075831786 absolute error = 2.14129221119129908784072466e-06 relative error = 0.0002616081175115374611775782882235 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4596.7MB, alloc=4.4MB, time=436.70 NO POLE NO POLE x[1] = 0.1826 y2[1] (analytic) = 1.9833748910318430712661127446283 y2[1] (numeric) = 1.9832703558011900341572281379165 absolute error = 0.0001045352306530371088846067118 relative error = 0.0052705734617146969025060666330317 % h = 0.0001 y1[1] (analytic) = 0.81841304097454915105577441655576 y1[1] (numeric) = 0.8184151927012147880849184020914 absolute error = 2.15172666563702914398553564e-06 relative error = 0.00026291451356576600783730720468398 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4600.5MB, alloc=4.4MB, time=436.98 memory used=4604.4MB, alloc=4.4MB, time=437.26 NO POLE NO POLE x[1] = 0.1827 y2[1] (analytic) = 1.9833567274190963396125541199012 y2[1] (numeric) = 1.9832518100377646060385046739697 absolute error = 0.0001049173813317335740494459315 relative error = 0.0052898896038868675160931365490783 % h = 0.0001 y1[1] (analytic) = 0.81831470439354465693437974691956 y1[1] (numeric) = 0.81831686659283310644656450207826 absolute error = 2.16219928844951218475515870e-06 relative error = 0.00026422588728280572642822998569639 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4608.2MB, alloc=4.4MB, time=437.53 NO POLE NO POLE x[1] = 0.1828 y2[1] (analytic) = 1.9833385539727823419626714914761 y2[1] (numeric) = 1.9832332535057787370572957712108 absolute error = 0.0001053004670036049053757202653 relative error = 0.0053092532685697975785275477156448 % h = 0.0001 y1[1] (analytic) = 0.81821636962939311736349437839046 y1[1] (numeric) = 0.81821854233956618717842620898829 absolute error = 2.17271017306981493183059783e-06 relative error = 0.00026554225186840649418476890679597 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4612.0MB, alloc=4.4MB, time=437.80 NO POLE NO POLE memory used=4615.8MB, alloc=4.4MB, time=438.07 x[1] = 0.1829 y2[1] (analytic) = 1.983320370693082812779453390466 y2[1] (numeric) = 1.983214686204249079572905490299 absolute error = 0.000105684488833733206547900167 relative error = 0.0053286645161014076932071182000226 % h = 0.0001 y1[1] (analytic) = 0.81811803668307787998381425030963 y1[1] (numeric) = 0.8181202199424909354921232515482 absolute error = 2.18325941305550830900123857e-06 relative error = 0.00026686362054883507632487953652452 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4619.6MB, alloc=4.4MB, time=438.35 NO POLE NO POLE x[1] = 0.183 y2[1] (analytic) = 1.9833021775801795848597435813723 y2[1] (numeric) = 1.9831961081321923041230008986567 absolute error = 0.0001060694479872807367426827156 relative error = 0.0053481234068272802870606351135947 % h = 0.0001 y1[1] (analytic) = 0.81801970555558227425767229525488 y1[1] (numeric) = 0.81802189940268435493313059187315 absolute error = 2.19384710208067545829661827e-06 relative error = 0.00026819000657088808398060258040485 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4623.4MB, alloc=4.4MB, time=438.61 NO POLE NO POLE x[1] = 0.1831 y2[1] (analytic) = 1.9832839746342545893324227341179 y2[1] (numeric) = 1.983177519288625099433445365085 absolute error = 0.0001064553456294898989773690329 relative error = 0.0053676300011006623178110806048846 % h = 0.0001 y1[1] (analytic) = 0.81792137624788961145920514442542 y1[1] (numeric) = 0.81792358072122354737896009749988 absolute error = 2.20447333393591975495307446e-06 relative error = 0.00026952142320190494033237643591657 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4627.2MB, alloc=4.4MB, time=438.88 memory used=4631.1MB, alloc=4.4MB, time=439.16 NO POLE NO POLE x[1] = 0.1832 y2[1] (analytic) = 1.9832657618554898556565891127601 y2[1] (numeric) = 1.9831589196725641724281316724966 absolute error = 0.0001068421829256832284574402635 relative error = 0.0053871843592824679817714219660226 % h = 0.0001 y1[1] (analytic) = 0.81782304876098318466452001490877 y1[1] (numeric) = 0.81782526389918571303734123009937 absolute error = 2.21513820252837282121519060e-06 relative error = 0.00027085788372978085495254731979832 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4634.9MB, alloc=4.4MB, time=439.43 NO POLE NO POLE x[1] = 0.1833 y2[1] (analytic) = 1.9832475392440675116197382809008 y2[1] (numeric) = 1.983140309283026248238814948669 absolute error = 0.0001072299610412633809233322318 relative error = 0.0054067865417412814221731594044667 % h = 0.0001 y1[1] (analytic) = 0.81772472309584626874186177892782 y1[1] (numeric) = 0.8177269489376481504444007508874 absolute error = 2.22584180188170253897195958e-06 relative error = 0.00027219940146297980636351785001403 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4638.7MB, alloc=4.4MB, time=439.70 memory used=4642.5MB, alloc=4.4MB, time=439.97 NO POLE NO POLE x[1] = 0.1834 y2[1] (analytic) = 1.9832293068001697833359418238134 y2[1] (numeric) = 1.9831216881190280702149454149184 absolute error = 0.000107618681141713120996408895 relative error = 0.0054264366088533594380278253050715 % h = 0.0001 y1[1] (analytic) = 0.81762639925346212034178021516662 y1[1] (numeric) = 0.81762863583768825646284144275112 absolute error = 2.23658422613612106122758450e-06 relative error = 0.00027354598973054753281597875161516 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4646.3MB, alloc=4.4MB, time=440.23 NO POLE NO POLE x[1] = 0.1835 y2[1] (analytic) = 1.9832110645239789952440250873036 y2[1] (numeric) = 1.9831030561795863999335009525971 absolute error = 0.0001080083443925953105241347065 relative error = 0.0054461346210026341935216286271024 % h = 0.0001 y1[1] (analytic) = 0.81752807723481397788729744227307 y1[1] (numeric) = 0.81753032460038352628011984910983 absolute error = 2.24736556954839282240683676e-06 relative error = 0.0002748976618821245312926723094344 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4650.1MB, alloc=4.4MB, time=440.52 memory used=4654.0MB, alloc=4.4MB, time=440.79 NO POLE NO POLE x[1] = 0.1836 y2[1] (analytic) = 1.9831928124156775701057439333222 y2[1] (numeric) = 1.9830844134637180172088194873158 absolute error = 0.0001083989519595528969244460064 relative error = 0.0054658806385807159279434382482115 % h = 0.0001 y1[1] (analytic) = 0.81742975704088506156407553463686 y1[1] (numeric) = 0.81743201522681155340662302952827 absolute error = 2.25818592649184254749489141e-06 relative error = 0.00027625443128795906474314007637468 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4657.8MB, alloc=4.4MB, time=441.06 NO POLE NO POLE x[1] = 0.1837 y2[1] (analytic) = 1.9831745504754480290039605123495 y2[1] (numeric) = 1.9830657599704397201024311907917 absolute error = 0.0001087905050083089015293215578 relative error = 0.0054856747219868956661462992197133 % h = 0.0001 y1[1] (analytic) = 0.81733143867265857331058432054108 y1[1] (numeric) = 0.81733370771805002967384433210056 absolute error = 2.26904539145636326001155948e-06 relative error = 0.00027761631133892017755491121653966 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4661.6MB, alloc=4.4MB, time=441.33 memory used=4665.4MB, alloc=4.4MB, time=441.61 NO POLE NO POLE x[1] = 0.1838 y2[1] (analytic) = 1.9831562787034729913408180525683 y2[1] (numeric) = 1.9830470956987683249328905002251 absolute error = 0.0001091830047046664079275523432 relative error = 0.0055055169316281479295426757271395 % h = 0.0001 y1[1] (analytic) = 0.81723312213111769680826936278569 y1[1] (numeric) = 0.8172354020751767452325581826231 absolute error = 2.27994405904842428881983741e-06 relative error = 0.00027898331544651071926659181301106 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4669.2MB, alloc=4.4MB, time=441.88 NO POLE NO POLE x[1] = 0.1839 y2[1] (analytic) = 1.9831379970999351748359146658435 y2[1] (numeric) = 1.9830284206477206662856079551057 absolute error = 0.0001095764522145085503067107378 relative error = 0.0055254073279191334476336147276264 % h = 0.0001 y1[1] (analytic) = 0.81713480741724559747172012188127 y1[1] (numeric) = 0.81713709829926958855099389057469 absolute error = 2.29088202399107927376869342e-06 relative error = 0.00028035545704288037652831934049471 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4673.0MB, alloc=4.4MB, time=442.15 memory used=4676.8MB, alloc=4.4MB, time=442.43 NO POLE NO POLE x[1] = 0.184 y2[1] (analytic) = 1.9831197056650173955244761705281 y2[1] (numeric) = 1.9830097348163135970226818513503 absolute error = 0.0001099708487037985017943191778 relative error = 0.0055453459712822018700720243527755 % h = 0.0001 y1[1] (analytic) = 0.81703649453202542243883830191132 y1[1] (numeric) = 0.81703879639140654641300847192203 absolute error = 2.30185938112397417017001071e-06 relative error = 0.00028173274958083871331505041684926 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4680.7MB, alloc=4.4MB, time=442.70 NO POLE NO POLE x[1] = 0.1841 y2[1] (analytic) = 1.9831014043989025677555279311122 y2[1] (numeric) = 1.9829910382035639882927297126735 absolute error = 0.0001103661953385794627982184387 relative error = 0.0055653329221473944792602610608816 % h = 0.0001 y1[1] (analytic) = 0.81693818347644030056100637916143 y1[1] (numeric) = 0.81694049635266570391625848876901 absolute error = 2.31287622540335525210960758e-06 relative error = 0.00028311520653386821939815388269882 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4684.5MB, alloc=4.4MB, time=442.96 NO POLE NO POLE x[1] = 0.1842 y2[1] (analytic) = 1.9830830933017737041900657147343 y2[1] (numeric) = 1.9829723308084887295407195790937 absolute error = 0.0001107624932849746493461356406 relative error = 0.0055853682409524469034822196748475 % h = 0.0001 y1[1] (analytic) = 0.81683987425147334239325631361366 y1[1] (numeric) = 0.81684219818412524447037090586798 absolute error = 2.32393265190207711459225432e-06 relative error = 0.00028450284139613736708078514270602 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4688.3MB, alloc=4.4MB, time=443.23 memory used=4692.1MB, alloc=4.4MB, time=443.51 NO POLE NO POLE x[1] = 0.1843 y2[1] (analytic) = 1.9830647723738139157992255645731 y2[1] (numeric) = 1.9829536126301047285178011124747 absolute error = 0.0001111597437091872814244520984 relative error = 0.0056054519881427918305701205390954 % h = 0.0001 y1[1] (analytic) = 0.81674156685810764018443844340437 y1[1] (numeric) = 0.81674390188686344979511296401131 absolute error = 2.33502875580961067452060694e-06 relative error = 0.00028589566768251367620252164577934 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4695.9MB, alloc=4.4MB, time=443.78 NO POLE NO POLE x[1] = 0.1844 y2[1] (analytic) = 1.9830464416152064118624526901374 y2[1] (numeric) = 1.9829348836674289112911365190064 absolute error = 0.000111557947777500571316171131 relative error = 0.0056255842241715617221061878887923 % h = 0.0001 y1[1] (analytic) = 0.81664326129732626786739056234398 y1[1] (numeric) = 0.81664560746195869991856107032155 absolute error = 2.34616463243205117050797757e-06 relative error = 0.0002872936989285767874187432719198 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4699.7MB, alloc=4.4MB, time=444.05 memory used=4703.5MB, alloc=4.4MB, time=444.32 NO POLE NO POLE x[1] = 0.1845 y2[1] (analytic) = 1.9830281010261344999656693744732 y2[1] (numeric) = 1.9829161439194782222537312885248 absolute error = 0.0001119571066562777119380859484 relative error = 0.0056457650094995915281594138183929 % h = 0.0001 y1[1] (analytic) = 0.81654495757011228104910718059673 y1[1] (numeric) = 0.81654731491048947317526870545853 absolute error = 2.35734037719212616152486180e-06 relative error = 0.00028869694869063154376024537012629 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4707.4MB, alloc=4.4MB, time=444.59 NO POLE NO POLE x[1] = 0.1846 y2[1] (analytic) = 1.9830097506067815859994418983061 y2[1] (numeric) = 1.982897393385269624134264750574 absolute error = 0.0001123572215119618651771477321 relative error = 0.0056659944045954214025576021116853 % h = 0.0001 y1[1] (analytic) = 0.81644665567744871700090896861895 y1[1] (numeric) = 0.81644902423353434620443334776164 absolute error = 2.36855608562920352437914269e-06 relative error = 0.00029010543054572108047857605155769 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4711.2MB, alloc=4.4MB, time=444.86 memory used=4715.0MB, alloc=4.4MB, time=445.14 NO POLE NO POLE x[1] = 0.1847 y2[1] (analytic) = 1.9829913903573311741571464811372 y2[1] (numeric) = 1.9828786320638200980069204471108 absolute error = 0.0001127582935110761502260340264 relative error = 0.0056862724699352994186948863581493 % h = 0.0001 y1[1] (analytic) = 0.81634835562031859464861238445401 y1[1] (numeric) = 0.81635073543217199394806241434569 absolute error = 2.37981185339929945002989168e-06 relative error = 0.00029151915809163992318259333229533 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4718.8MB, alloc=4.4MB, time=445.41 NO POLE NO POLE x[1] = 0.1848 y2[1] (analytic) = 1.9829730202779668669331342393107 y2[1] (numeric) = 1.982859859954146643301216321755 absolute error = 0.0001131603238202236319179175557 relative error = 0.005706599266003184285874916706079 % h = 0.0001 y1[1] (analytic) = 0.81625005739970491456269948448242 y1[1] (numeric) = 0.81625244850748118964913821916871 absolute error = 2.39110777627508643873468629e-06 relative error = 0.0002929381449469470942717416103956 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4722.6MB, alloc=4.4MB, time=445.67 memory used=4726.4MB, alloc=4.4MB, time=445.95 NO POLE NO POLE x[1] = 0.1849 y2[1] (analytic) = 1.9829546403688723651208951610722 y2[1] (numeric) = 1.9828410770552662778118347254859 absolute error = 0.0001135633136060873090604355863 relative error = 0.0057269748532907480661899098261069 % h = 0.0001 y1[1] (analytic) = 0.81615176101659065894848791772512 y1[1] (numeric) = 0.81615416346054080484978194808995 absolute error = 2.40244395014590129403036483e-06 relative error = 0.00029436240475097922767155093736272 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4730.2MB, alloc=4.4MB, time=446.22 NO POLE NO POLE x[1] = 0.185 y2[1] (analytic) = 1.9829362506302314678112210986348 y2[1] (numeric) = 1.9828222833661960377084522386874 absolute error = 0.0001139672640354301027688599474 relative error = 0.0057473992922973788919357565188947 % h = 0.0001 y1[1] (analytic) = 0.81605346647195879163630110379855 y1[1] (numeric) = 0.81605588029242980938941665093649 absolute error = 2.41382047101775311554713794e-06 relative error = 0.00029579195116386369187686643324998 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4734.1MB, alloc=4.4MB, time=446.51 memory used=4737.9MB, alloc=4.4MB, time=446.79 NO POLE NO POLE x[1] = 0.1851 y2[1] (analytic) = 1.9829178510622280723903677772735 y2[1] (numeric) = 1.9828034788859529775455693094429 absolute error = 0.0001143721762750948447984678306 relative error = 0.0057678726435301836835633816844965 % h = 0.0001 y1[1] (analytic) = 0.8159551737667922580716385946196 y1[1] (numeric) = 0.81595759900422727140292925059689 absolute error = 2.42523743501333129065597729e-06 relative error = 0.00029722679786653172130831919820052 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4741.7MB, alloc=4.4MB, time=447.06 NO POLE NO POLE x[1] = 0.1852 y2[1] (analytic) = 1.9828994416650461745382158214633 y2[1] (numeric) = 1.9827846636135541702723397079822 absolute error = 0.0001147780514920042658761134811 relative error = 0.0057883949675039908681665511150879 % h = 0.0001 y1[1] (analytic) = 0.81585688290207398530534661995876 y1[1] (numeric) = 0.81585931959701235731883156916014 absolute error = 2.43669493837201348494920138e-06 relative error = 0.00029866695856073155598755396964976 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4745.5MB, alloc=4.4MB, time=447.33 NO POLE NO POLE memory used=4749.3MB, alloc=4.4MB, time=447.61 x[1] = 0.1853 y2[1] (analytic) = 1.9828810224388698682264307980828 y2[1] (numeric) = 1.9827658375480167072423997971817 absolute error = 0.0001151848908531609840310009011 relative error = 0.0058089663247413530985063199926929 % h = 0.0001 y1[1] (analytic) = 0.81575859387878688198378881693991 y1[1] (numeric) = 0.8157610420718643318574203711184 absolute error = 2.44819307744987363155417849e-06 relative error = 0.00030011244696904158953673273512072 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4753.1MB, alloc=4.4MB, time=447.88 NO POLE NO POLE x[1] = 0.1854 y2[1] (analytic) = 1.9828625933838833457166222766984 y2[1] (numeric) = 1.9827470006883576982236976190199 absolute error = 0.0001155926955256474929246576785 relative error = 0.0058295867757725499725723176522118 % h = 0.0001 y1[1] (analytic) = 0.81566030669791383833901714358485 y1[1] (numeric) = 0.81566276642986255802893642365187 absolute error = 2.45973194871968991928006702e-06 relative error = 0.00030156327683488352550783748413424 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4757.0MB, alloc=4.4MB, time=448.15 NO POLE NO POLE x[1] = 0.1855 y2[1] (analytic) = 1.9828441545002708975585019069499 y2[1] (numeric) = 1.9827281530335942714083217968897 absolute error = 0.0001160014666766261501801100602 relative error = 0.0058502563811355907536810635345681 % h = 0.0001 y1[1] (analytic) = 0.81556202136043772617894297650095 y1[1] (numeric) = 0.81556449267208649713172257401424 absolute error = 2.47131164877095277959751329e-06 relative error = 0.00030301946192253554204729921529311 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4760.8MB, alloc=4.4MB, time=448.42 memory used=4764.6MB, alloc=4.4MB, time=448.70 NO POLE NO POLE x[1] = 0.1856 y2[1] (analytic) = 1.9828257057882169125880405130552 y2[1] (numeric) = 1.9827092945827435734223302536694 absolute error = 0.0001164112054733391657102593858 relative error = 0.0058709752013762170911115091301738 % h = 0.0001 y1[1] (analytic) = 0.81546373786734139887750839281027 y1[1] (numeric) = 0.81546622079961570875038084403709 absolute error = 2.48293227430987287245122682e-06 relative error = 0.00030448101601714546490148426489324 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4768.4MB, alloc=4.4MB, time=448.96 NO POLE NO POLE x[1] = 0.1857 y2[1] (analytic) = 1.9828072472479058779256242054518 y2[1] (numeric) = 1.9826904253348227693355787454538 absolute error = 0.000116821913083108590045459998 relative error = 0.005891743297047905741278000790028 % h = 0.0001 y1[1] (analytic) = 0.81536545621960769136485763641828 y1[1] (numeric) = 0.81536795081352985075392854177174 absolute error = 2.49459392215938907090535346e-06 relative error = 0.00030594795292474394876857302582804 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4772.2MB, alloc=4.4MB, time=449.23 memory used=4776.0MB, alloc=4.4MB, time=449.52 NO POLE NO POLE x[1] = 0.1858 y2[1] (analytic) = 1.9827887788795223789742095095947 y2[1] (numeric) = 1.9826715452888490426715492108474 absolute error = 0.0001172335906733363026602987473 relative error = 0.0059125607287118712894408583992469 % h = 0.0001 y1[1] (analytic) = 0.81526717641821942011750876872065 y1[1] (numeric) = 0.81526968271490867929395339028692 absolute error = 2.50629668925917644462156627e-06 relative error = 0.00030742028647225766700237003049981 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4779.8MB, alloc=4.4MB, time=449.79 NO POLE NO POLE x[1] = 0.1859 y2[1] (analytic) = 1.9827703006832510994174775119283 y2[1] (numeric) = 1.9826526544438395954171779357217 absolute error = 0.0001176462394115040002995762066 relative error = 0.0059334275569370688719547648589054 % h = 0.0001 y1[1] (analytic) = 0.81516889846415938314852550384624 y1[1] (numeric) = 0.81517141650483204880276767364074 absolute error = 2.51804067266565424216979450e-06 relative error = 0.00030889803050752250967358839227089 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4783.7MB, alloc=4.4MB, time=450.06 memory used=4787.5MB, alloc=4.4MB, time=450.34 NO POLE NO POLE x[1] = 0.186 y2[1] (analytic) = 1.9827518126592768212179870230509 y2[1] (numeric) = 1.9826337527988116480326835333374 absolute error = 0.0001180598604651731853034897135 relative error = 0.0059543438423001968990551614849879 % h = 0.0001 y1[1] (analytic) = 0.81507062235841035999768922853466 y1[1] (numeric) = 0.81507315218437991199156140004541 absolute error = 2.52982596955199387217151075e-06 relative error = 0.00031038119889929678999415553560357 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4791.3MB, alloc=4.4MB, time=450.62 NO POLE NO POLE x[1] = 0.1861 y2[1] (analytic) = 1.982733314807784424615326758091 y2[1] (numeric) = 1.9826148403527824394613947397341 absolute error = 0.0001184744550019851539320183569 relative error = 0.0059753096453856997781828444247135 % h = 0.0001 y1[1] (analytic) = 0.81497234810195511172167120674663 y1[1] (numeric) = 0.8149748897546323198485544822432 absolute error = 2.54165267720812688327549657e-06 relative error = 0.00031186980553727445911009113891315 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4795.1MB, alloc=4.4MB, time=450.89 memory used=4798.9MB, alloc=4.4MB, time=451.16 NO POLE NO POLE x[1] = 0.1862 y2[1] (analytic) = 1.982714807128958888124266534313 y2[1] (numeric) = 1.9825959171047692271395780242887 absolute error = 0.0001188900241896609846885100243 relative error = 0.0059963250267857706378469572324262 % h = 0.0001 y1[1] (analytic) = 0.81487407569577638088420496910549 y1[1] (numeric) = 0.8148766292166694216371479351121 absolute error = 2.55352089304075294296600661e-06 relative error = 0.00031336386433209832926851217064056 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4802.7MB, alloc=4.4MB, time=451.43 NO POLE NO POLE x[1] = 0.1863 y2[1] (analytic) = 1.9826962896229852885329074859705 y2[1] (numeric) = 1.9825769830537892870062650153447 absolute error = 0.0001193065691960015266424706258 relative error = 0.0060173900471003540520265747790947 % h = 0.0001 y1[1] (analytic) = 0.814775805140856891546258887268 y1[1] (numeric) = 0.81477837057157146489407409051966 absolute error = 2.56543071457334781520325166e-06 relative error = 0.00031486338921537330536432390523399 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4806.5MB, alloc=4.4MB, time=451.70 memory used=4810.4MB, alloc=4.4MB, time=451.98 NO POLE NO POLE x[1] = 0.1864 y2[1] (analytic) = 1.9826777622900488009008312964275 y2[1] (numeric) = 1.9825580381988599135130797408137 absolute error = 0.0001197240911888873877515556138 relative error = 0.0060385047669371487651110738728175 % h = 0.0001 y1[1] (analytic) = 0.81467753643817934925620893332291 y1[1] (numeric) = 0.81468011382041879542754582944351 absolute error = 2.57738223944617133689612060e-06 relative error = 0.00031636839413967962487215974751677 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4814.2MB, alloc=4.4MB, time=452.26 NO POLE NO POLE x[1] = 0.1865 y2[1] (analytic) = 1.9826592251303346985572484475635 y2[1] (numeric) = 1.9825390825389984196340656836509 absolute error = 0.0001201425913362789231827639126 relative error = 0.0060596692469116104173794857777273 % h = 0.0001 y1[1] (analytic) = 0.81457926958872644104001162431534 y1[1] (numeric) = 0.81458185896429185731540483137709 absolute error = 2.58937556541627539320706175e-06 relative error = 0.00031787889307858610616913673573414 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4818.0MB, alloc=4.4MB, time=452.53 NO POLE NO POLE x[1] = 0.1866 y2[1] (analytic) = 1.9826406781440283530991454864836 y2[1] (numeric) = 1.9825201160732221368755126521064 absolute error = 0.0001205620708062162236328343772 relative error = 0.0060808835476469542710190261279897 % h = 0.0001 y1[1] (analytic) = 0.81448100459348083539137715199543 y1[1] (numeric) = 0.8144836060042711929032688410391 absolute error = 2.60141079035751189168904367e-06 relative error = 0.00031939490002666340525399752681232 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4821.8MB, alloc=4.4MB, time=452.80 memory used=4825.6MB, alloc=4.4MB, time=453.08 NO POLE NO POLE x[1] = 0.1867 y2[1] (analytic) = 1.9826221213313152343894313095496 y2[1] (numeric) = 1.9825011388005484152857834646542 absolute error = 0.0001209825307668191036478448954 relative error = 0.0061021477297741579366829975234518 % h = 0.0001 y1[1] (analytic) = 0.81438274145342518226194269788942 y1[1] (numeric) = 0.81438535494143744280267795240517 absolute error = 2.61348801226054073525451575e-06 relative error = 0.000320916428999497280868213693277 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4829.4MB, alloc=4.4MB, time=453.35 NO POLE NO POLE x[1] = 0.1868 y2[1] (analytic) = 1.9826035546923809105550824637527 y2[1] (numeric) = 1.9824821507199946234651404495005 absolute error = 0.0001214039723862870899420142522 relative error = 0.0061234618539319641005882603927639 % h = 0.0001 y1[1] (analytic) = 0.81428448016954211305144593379147 y1[1] (numeric) = 0.81428710577687134588923991008033 absolute error = 2.62560732923283779397628886e-06 relative error = 0.00032244349403370186802462914611551 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4833.2MB, alloc=4.4MB, time=453.62 memory used=4837.1MB, alloc=4.4MB, time=453.89 NO POLE NO POLE x[1] = 0.1869 y2[1] (analytic) = 1.9825849782274110479852874654453 y2[1] (numeric) = 1.9824631518305781485755717585727 absolute error = 0.0001218263968328994097157068726 relative error = 0.0061448259807668832521524676156953 % h = 0.0001 y1[1] (analytic) = 0.81418622074281424059789870777445 y1[1] (numeric) = 0.81418885851165373930077442803076 absolute error = 2.63776883949870287572025631e-06 relative error = 0.00032397610918693295994922649193412 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4840.9MB, alloc=4.4MB, time=454.16 NO POLE NO POLE x[1] = 0.187 y2[1] (analytic) = 1.9825663919365914113295901364508 y2[1] (numeric) = 1.9824441421313163963506174958914 absolute error = 0.0001222498052750149789726405594 relative error = 0.0061662401709331964121712584737638 % h = 0.0001 y1[1] (analytic) = 0.81408796317422415916776091581804 y1[1] (numeric) = 0.81409061314686555843545652569349 absolute error = 2.64997264139926769560987545e-06 relative error = 0.00032551428853790129844160314221109 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4844.7MB, alloc=4.4MB, time=454.43 memory used=4848.5MB, alloc=4.4MB, time=454.71 NO POLE NO POLE x[1] = 0.1871 y2[1] (analytic) = 1.9825477958201078634960319575693 y2[1] (numeric) = 1.9824251216212267911051956602269 absolute error = 0.0001226741988810723908362973424 relative error = 0.0061877044850929578615356075404104 % h = 0.0001 y1[1] (analytic) = 0.81398970746475444444611455915232 y1[1] (numeric) = 0.81399236968358783694995888148248 absolute error = 2.66221883339250384432233016e-06 relative error = 0.00032705804618638587265974798535248 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4852.3MB, alloc=4.4MB, time=454.98 NO POLE NO POLE x[1] = 0.1872 y2[1] (analytic) = 1.9825291898781463656492934394991 y2[1] (numeric) = 1.9824060902993267757454279019416 absolute error = 0.0001230995788195899038655375575 relative error = 0.0062092189839159978704895242800947 % h = 0.0001 y1[1] (analytic) = 0.81389145361538765352683798741509 y1[1] (numeric) = 0.81389412812290170675759320370977 absolute error = 2.67450751405323075521629468e-06 relative error = 0.00032860739625324722633471346266287 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4856.1MB, alloc=4.4MB, time=455.25 memory used=4859.9MB, alloc=4.4MB, time=455.53 NO POLE NO POLE x[1] = 0.1873 y2[1] (analytic) = 1.9825105741108929772088345111912 y2[1] (numeric) = 1.9823870481646338117784650939208 absolute error = 0.0001235259462591654303694172704 relative error = 0.0062307837280799254284282989862691 % h = 0.0001 y1[1] (analytic) = 0.81379320162710632490278032772136 y1[1] (numeric) = 0.81379588846588839802645061894023 absolute error = 2.68683878207312367029121887e-06 relative error = 0.00033016235288044077342078185406923 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4863.8MB, alloc=4.4MB, time=455.79 NO POLE NO POLE x[1] = 0.1874 y2[1] (analytic) = 1.9824919485185338558470339256566 y2[1] (numeric) = 1.982367995216165379322312716493 absolute error = 0.0001239533023684765247212091636 relative error = 0.0062523987782701309742374909422054 % h = 0.0001 y1[1] (analytic) = 0.81369495150089297845593609974295 y1[1] (numeric) = 0.81369765071362923917754107779848 absolute error = 2.69921273626072160497805553e-06 relative error = 0.00033172293023103012218672865783254 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4867.6MB, alloc=4.4MB, time=456.06 memory used=4871.4MB, alloc=4.4MB, time=456.34 NO POLE NO POLE x[1] = 0.1875 y2[1] (analytic) = 1.9824733131012552574873276832436 y2[1] (numeric) = 1.9823489314529389771156560562415 absolute error = 0.0001243816483162803716716270021 relative error = 0.0062740641951797891271728545744937 % h = 0.0001 y1[1] (analytic) = 0.81359670323773011544762001689679 y1[1] (numeric) = 0.81359941486720565688293177824669 absolute error = 2.71162947554143531176134990e-06 relative error = 0.00033328914248920040775378990100715 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4875.2MB, alloc=4.4MB, time=456.62 NO POLE NO POLE x[1] = 0.1876 y2[1] (analytic) = 1.9824546678592435363023464724054 y2[1] (numeric) = 1.9823298568739721225276852186095 absolute error = 0.0001248109852714137746612537959 relative error = 0.0062957800395098614182813995575213 % h = 0.0001 y1[1] (analytic) = 0.81349845683860021850864197373998 y1[1] (numeric) = 0.81350118092769917606388460635176 absolute error = 2.72408909895755524263261178e-06 relative error = 0.00033486100386027163308594427501024 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4879.0MB, alloc=4.4MB, time=456.89 NO POLE NO POLE memory used=4882.8MB, alloc=4.4MB, time=457.16 x[1] = 0.1877 y2[1] (analytic) = 1.982436012792685144712052127975 y2[1] (numeric) = 1.9823107714782823515679199542 absolute error = 0.000125241314402793144132173775 relative error = 0.0063175463719690990223637807585216 % h = 0.0001 y1[1] (analytic) = 0.81340021230448575162948221966981 y1[1] (numeric) = 0.81340294889619141988899259456056 absolute error = 2.73659170566825951037489075e-06 relative error = 0.00033643852857071201843812501700455 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4886.7MB, alloc=4.4MB, time=457.45 NO POLE NO POLE x[1] = 0.1878 y2[1] (analytic) = 1.9824173479017666333818731069675 y2[1] (numeric) = 1.9822916752648872188960342986724 absolute error = 0.0001256726368794144858388082951 relative error = 0.0063393632532740454904782140912326 % h = 0.0001 y1[1] (analytic) = 0.8133019696363691601504667190272 y1[1] (numeric) = 0.81330471877376410977231539750186 absolute error = 2.74913739494962184867847466e-06 relative error = 0.00033802173086815135926798044423049 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4890.5MB, alloc=4.4MB, time=457.72 NO POLE NO POLE x[1] = 0.1879 y2[1] (analytic) = 1.982398673186674651220838981927 y2[1] (numeric) = 1.9822725682328042978316810261376 absolute error = 0.0001261049538703533891579557894 relative error = 0.0063612307441490394829861142573453 % h = 0.0001 y1[1] (analytic) = 0.8132037288352328707519426977016 y1[1] (numeric) = 0.81320649056149906537151378533363 absolute error = 2.76172626619461957108763203e-06 relative error = 0.00033961062502139439261680613385733 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4894.3MB, alloc=4.4MB, time=457.99 memory used=4898.1MB, alloc=4.4MB, time=458.28 NO POLE NO POLE x[1] = 0.188 y2[1] (analytic) = 1.9823799886475959453797139518383 y2[1] (numeric) = 1.9822534503810511803643159159531 absolute error = 0.0001265382665447650153980358852 relative error = 0.0063831489053262175031396505737754 % h = 0.0001 y1[1] (analytic) = 0.81310548990205929144445437633573 y1[1] (numeric) = 0.81310826426047820458598315465425 absolute error = 2.77435841891314152877831852e-06 relative error = 0.00034120522532043417196527571270958 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4901.9MB, alloc=4.4MB, time=458.55 NO POLE NO POLE x[1] = 0.1881 y2[1] (analytic) = 1.9823612942847173612491293706202 y2[1] (numeric) = 1.9822343217086454771630218328205 absolute error = 0.0001269725760718840861075377997 relative error = 0.0064051177975455166312114169193061 % h = 0.0001 y1[1] (analytic) = 0.81300725283783081155891889022829 y1[1] (numeric) = 0.81301003987178354355498605699648 absolute error = 2.78703395273199606716676819e-06 relative error = 0.00034280554607646545056960132399733 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4905.7MB, alloc=4.4MB, time=458.82 memory used=4909.5MB, alloc=4.4MB, time=459.09 NO POLE NO POLE x[1] = 0.1882 y2[1] (analytic) = 1.9823425900982258424577152932213 y2[1] (numeric) = 1.9822151822146048175863326200864 absolute error = 0.0001274078836210248713826731349 relative error = 0.0064271374815546772591664121640229 % h = 0.0001 y1[1] (analytic) = 0.81290901764352980173680239603301 y1[1] (numeric) = 0.81291181739649719665578374492267 absolute error = 2.79975296739491898134888966e-06 relative error = 0.00034441160162189807328375880023095 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4913.4MB, alloc=4.4MB, time=459.36 NO POLE NO POLE x[1] = 0.1883 y2[1] (analytic) = 1.9823238760883084308702310393351 y2[1] (numeric) = 1.9821960318979468496920568061488 absolute error = 0.0001278441903615811781742331863 relative error = 0.0064492080181092458258765272351214 % h = 0.0001 y1[1] (analytic) = 0.81281078432013861392029636535215 y1[1] (numeric) = 0.81281359683570137650176673574001 absolute error = 2.81251556276258147037038786e-06 relative error = 0.0003460234063103703768734166830115 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4917.2MB, alloc=4.4MB, time=459.63 memory used=4921.0MB, alloc=4.4MB, time=459.91 NO POLE NO POLE x[1] = 0.1884 y2[1] (analytic) = 1.9823051522551522665856947747538 y2[1] (numeric) = 1.9821768707576892402471011238709 absolute error = 0.0001282814974630263385936508829 relative error = 0.0064713294679725775528777351663871 % h = 0.0001 y1[1] (analytic) = 0.81271255286863958134249406532279 y1[1] (numeric) = 0.81271537819047839394058439285452 absolute error = 2.82532183881259809032753173e-06 relative error = 0.00034764097451676259882721223314296 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4924.8MB, alloc=4.4MB, time=460.18 NO POLE NO POLE x[1] = 0.1885 y2[1] (analytic) = 1.9822864185989445879355121103798 y2[1] (numeric) = 1.9821576987928496747372938429039 absolute error = 0.0001287198060949131982182674759 relative error = 0.0064935018919158391806701805261088 % h = 0.0001 y1[1] (analytic) = 0.81261432329001501851756722629406 y1[1] (numeric) = 0.81261716146191065805227352478242 absolute error = 2.83817189563953470629848836e-06 relative error = 0.00034926432063721029467102163697097 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4928.6MB, alloc=4.4MB, time=460.45 memory used=4932.4MB, alloc=4.4MB, time=460.72 NO POLE NO POLE x[1] = 0.1886 y2[1] (analytic) = 1.9822676751198727314816037189134 y2[1] (numeric) = 1.9821385160024458573772079148204 absolute error = 0.000129159117426874104395804093 relative error = 0.0065157253507180117055613646454888 % h = 0.0001 y1[1] (analytic) = 0.81251609558524722123094289669363 y1[1] (numeric) = 0.81251894665108067614738600183762 absolute error = 2.85106583345491644310514399e-06 relative error = 0.00035089345908911776379087565585611 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4936.2MB, alloc=4.4MB, time=460.99 NO POLE NO POLE x[1] = 0.1887 y2[1] (analytic) = 1.9822489218181241320145319692347 y2[1] (numeric) = 1.9821193223854955111199839309606 absolute error = 0.0001295994326286208945480382741 relative error = 0.006537999905165893117052623066671 % h = 0.0001 y1[1] (analytic) = 0.81241786975531846652948048518162 y1[1] (numeric) = 0.8124207337590710537651153905141 absolute error = 2.86400375258723563490533248e-06 relative error = 0.00035252840431117148377017604183296 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4940.1MB, alloc=4.4MB, time=461.26 NO POLE NO POLE memory used=4943.9MB, alloc=4.4MB, time=461.54 x[1] = 0.1888 y2[1] (analytic) = 1.9822301586938863225516265784999 y2[1] (numeric) = 1.9821001179410163776671528928926 absolute error = 0.0001300407528699448844736856073 relative error = 0.0065603256160541011357690918384544 % h = 0.0001 y1[1] (analytic) = 0.81231964580121101271164899019019 y1[1] (numeric) = 0.81232252278696449467142260558183 absolute error = 2.87698575348195977361539164e-06 relative error = 0.0003541691707633535532468720713495 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4947.7MB, alloc=4.4MB, time=461.81 NO POLE NO POLE x[1] = 0.1889 y2[1] (analytic) = 1.9822113857473469343351092819695 y2[1] (numeric) = 1.982080902668026217478458795389 absolute error = 0.0001304830793207168566504865805 relative error = 0.0065827025441850759519333591587483 % h = 0.0001 y1[1] (analytic) = 0.81222142372390709931770441694703 y1[1] (numeric) = 0.81222431373584380085716057991503 absolute error = 2.89001193670153945616296800e-06 relative error = 0.00035581577292695514329626063142508 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4951.5MB, alloc=4.4MB, time=462.08 NO POLE NO POLE x[1] = 0.189 y2[1] (analytic) = 1.9821926029786936968302175205875 y2[1] (numeric) = 1.9820616765655428097816810218213 absolute error = 0.0001309264131508870485364987662 relative error = 0.0066051307503690829643829990314582 % h = 0.0001 y1[1] (analytic) = 0.81212320352438894711986738208099 y1[1] (numeric) = 0.81212610660679187253619795207154 absolute error = 2.90308240292541633056999055e-06 relative error = 0.00035746822530458995734507734863554 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4955.3MB, alloc=4.4MB, time=462.35 memory used=4959.1MB, alloc=4.4MB, time=462.63 NO POLE NO POLE x[1] = 0.1891 y2[1] (analytic) = 1.9821738103881144377233271463308 y2[1] (numeric) = 1.9820424396325839525824565518737 absolute error = 0.0001313707555304851408705944571 relative error = 0.0066276102954242155201321836581301 % h = 0.0001 y1[1] (analytic) = 0.81202498520363875811250090590807 y1[1] (numeric) = 0.81202790140089170814354177164198 absolute error = 2.91619725295003104086573391e-06 relative error = 0.00035912654242020769962255030809048 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4962.9MB, alloc=4.4MB, time=462.90 NO POLE NO POLE x[1] = 0.1892 y2[1] (analytic) = 1.9821550079757970829200741453468 y2[1] (numeric) = 1.9820231918681674626741019814789 absolute error = 0.0001318161076296202459721638679 relative error = 0.0066501412401763976544775712263447 % h = 0.0001 y1[1] (analytic) = 0.81192676876263871550228839249594 y1[1] (numeric) = 0.81192969811922640433345922238758 absolute error = 2.92935658768883117082989164e-06 relative error = 0.00036079073881910755215409200888612 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4966.8MB, alloc=4.4MB, time=463.17 memory used=4970.6MB, alloc=4.4MB, time=463.45 NO POLE NO POLE x[1] = 0.1893 y2[1] (analytic) = 1.9821361957419296565434753788989 y2[1] (numeric) = 1.9820039332713111756474353548764 absolute error = 0.0001322624706184808960400240225 relative error = 0.0066727236454593868316486660012383 % h = 0.0001 y1[1] (analytic) = 0.81182855420237098369841179760535 y1[1] (numeric) = 0.81183149676287915597759836318539 absolute error = 2.94256050817227918656558004e-06 relative error = 0.00036246082906795166030330922989075 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4974.4MB, alloc=4.4MB, time=463.72 NO POLE NO POLE x[1] = 0.1894 y2[1] (analytic) = 1.9821173736867002809320483421375 y2[1] (numeric) = 1.9819846638410329459005978086964 absolute error = 0.0001327098456673350314505334411 relative error = 0.0066953575721147766860028474421111 % h = 0.0001 y1[1] (analytic) = 0.81173034152381770830272998460643 y1[1] (numeric) = 0.81173329733293325616310788679965 absolute error = 2.95580911554786037790219322e-06 relative error = 0.00036413682775477862686801460753303 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4978.2MB, alloc=4.4MB, time=463.99 memory used=4982.0MB, alloc=4.4MB, time=464.28 NO POLE NO POLE x[1] = 0.1895 y2[1] (analytic) = 1.9820985418102971766379299407167 y2[1] (numeric) = 1.98196538357635064664887502797 absolute error = 0.0001331582339465299890549127467 relative error = 0.0067180430809919997637652653710514 % h = 0.0001 y1[1] (analytic) = 0.81163213072796101609995726846832 y1[1] (numeric) = 0.81163509983047209619075589649821 absolute error = 2.96910251108009079862802989e-06 relative error = 0.00036581874948901701473592776466122 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4985.8MB, alloc=4.4MB, time=464.55 NO POLE NO POLE x[1] = 0.1896 y2[1] (analytic) = 1.9820797001129086624249942852743 y2[1] (numeric) = 1.9819460924762821699345185139684 absolute error = 0.0001336076366264924904757713059 relative error = 0.0067407802329483302653137980411768 % h = 0.0001 y1[1] (analytic) = 0.81153392181578301504784214792023 y1[1] (numeric) = 0.81153690425657916557304770053272 absolute error = 2.98244079615052520555261249e-06 relative error = 0.00036750660890149885810575793167702 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4989.7MB, alloc=4.4MB, time=464.82 memory used=4993.5MB, alloc=4.4MB, time=465.09 NO POLE NO POLE x[1] = 0.1897 y2[1] (analytic) = 1.9820608485947231552669695037949 y2[1] (numeric) = 1.9819267905398454266365666637719 absolute error = 0.000134058054877728630402840023 relative error = 0.0067635690888488867880092702117008 % h = 0.0001 y1[1] (analytic) = 0.8114357147882657942673462258821 y1[1] (numeric) = 0.81143871061233805203234262450144 absolute error = 2.99582407225776499639861934e-06 relative error = 0.00036920042064447318227936409292119 % h = 0.0001 TOP MAIN SOLVE Loop memory used=4997.3MB, alloc=4.4MB, time=465.37 NO POLE NO POLE x[1] = 0.1898 y2[1] (analytic) = 1.9820419872559291703455535718738 y2[1] (numeric) = 1.9819074777660583464806656614715 absolute error = 0.0001345094898708238648879104023 relative error = 0.0067864097095666350695711281829732 % h = 0.0001 y1[1] (analytic) = 0.81133750964639142403282331826317 y1[1] (numeric) = 0.81134051889883244149896984161357 absolute error = 3.00925244101746614652335040e-06 relative error = 0.00037090019939161953203069276775661 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5001.1MB, alloc=4.4MB, time=465.64 memory used=5004.9MB, alloc=4.4MB, time=465.92 NO POLE NO POLE x[1] = 0.1899 y2[1] (analytic) = 1.9820231160967153210485291609021 y2[1] (numeric) = 1.9818881541539388780488901809043 absolute error = 0.0001349619427764429996389799978 relative error = 0.0068093021559823907319987690143815 % h = 0.0001 y1[1] (analytic) = 0.81123930639114195576219875122667 y1[1] (numeric) = 0.81124232911714611810934322087381 absolute error = 3.02272600416234714446964714e-06 relative error = 0.0003726059598380615085571976154278 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5008.7MB, alloc=4.4MB, time=466.19 NO POLE NO POLE x[1] = 0.19 y2[1] (analytic) = 1.9820042351172703189678775041899 y2[1] (numeric) = 1.9818688197025049887895638998245 absolute error = 0.0001354154147653301783136043654 relative error = 0.0068322464889848220260387209939863 % h = 0.0001 y1[1] (analytic) = 0.81114110502349942200714884701869 y1[1] (numeric) = 0.8111441412683629642040751932061 absolute error = 3.03624486354219692634618741e-06 relative error = 0.00037431771670038031501944919475359 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5012.5MB, alloc=4.4MB, time=466.46 NO POLE NO POLE memory used=5016.4MB, alloc=4.4MB, time=466.73 x[1] = 0.1901 y2[1] (analytic) = 1.9819853443177829738978912810484 y2[1] (numeric) = 1.981849474410774665027079825412 absolute error = 0.0001358699070083088708114556364 relative error = 0.0068552427694704525761978726682768 % h = 0.0001 y1[1] (analytic) = 0.81104290554444583644328059845967 y1[1] (numeric) = 0.81104595535356696032608963553541 absolute error = 3.04980912112388280903707574e-06 relative error = 0.00037603548471662831067464725011831 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5020.2MB, alloc=4.4MB, time=467.01 NO POLE NO POLE x[1] = 0.1902 y2[1] (analytic) = 1.9819664436984421938332865188484 y2[1] (numeric) = 1.9818301182777659119717204310202 absolute error = 0.0001363254206762818615660878282 relative error = 0.0068782910583436641263029476469982 % h = 0.0001 y1[1] (analytic) = 0.81094470795496319386031153219644 y1[1] (numeric) = 0.81094777137384218521873377284636 absolute error = 3.06341887899135842224064992e-06 relative error = 0.00037775927864634257360975204727508 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5024.0MB, alloc=4.4MB, time=467.29 NO POLE NO POLE x[1] = 0.1903 y2[1] (analytic) = 1.9819475332594369849673135130749 y2[1] (numeric) = 1.9818107513024967537294776040652 absolute error = 0.0001367819569402312378359090097 relative error = 0.0069013914165166992856064225316158 % h = 0.0001 y1[1] (analytic) = 0.81084651225603347015224976081327 y1[1] (numeric) = 0.81084958933027281582388909823765 absolute error = 3.07707423934567163933742438e-06 relative error = 0.00037948911327055847207995534527105 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5027.8MB, alloc=4.4MB, time=467.56 memory used=5031.6MB, alloc=4.4MB, time=467.84 NO POLE NO POLE x[1] = 0.1904 y2[1] (analytic) = 1.9819286130009564516898667653959 y2[1] (numeric) = 1.9817913734839852333118724049574 absolute error = 0.0001372395169712183779943604385 relative error = 0.0069245439049096642754390853487174 % h = 0.0001 y1[1] (analytic) = 0.81074831844863862230757422389997 y1[1] (numeric) = 0.81075140922394312728008131099112 absolute error = 3.09077530450497250708709115e-06 relative error = 0.00038122500339182324445821572951964 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5035.4MB, alloc=4.4MB, time=468.11 NO POLE NO POLE x[1] = 0.1905 y2[1] (analytic) = 1.9819096829231897965855939397653 y2[1] (numeric) = 1.9817719848212494126457746369784 absolute error = 0.0001376981019403839398193027869 relative error = 0.0069477485844505316764094319175423 % h = 0.0001 y1[1] (analytic) = 0.81065012653376058839941511817529 y1[1] (numeric) = 0.81065323105593749292058927267439 absolute error = 3.10452217690452117415449910e-06 relative error = 0.00038296696383420958780158713104637 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5039.2MB, alloc=4.4MB, time=468.39 memory used=5043.1MB, alloc=4.4MB, time=468.67 NO POLE NO POLE x[1] = 0.1906 y2[1] (analytic) = 1.9818907430263263204320038365778 y2[1] (numeric) = 1.981752585313307372583222227004 absolute error = 0.0001381577130189478487816095738 relative error = 0.0069710055160751431761500976388331 % h = 0.0001 y1[1] (analytic) = 0.81055193651238128757573451676377 y1[1] (numeric) = 0.81055505482734038427155298129595 absolute error = 3.11831495909669581846453218e-06 relative error = 0.00038471500944332925504007347245938 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5046.9MB, alloc=4.4MB, time=468.94 NO POLE NO POLE x[1] = 0.1907 y2[1] (analytic) = 1.9818717933105554221975733848956 y2[1] (numeric) = 1.9817331749591772129112404169755 absolute error = 0.0001386183513782092863329679201 relative error = 0.0069943147607272123176115222704108 % h = 0.0001 y1[1] (analytic) = 0.81045374838548262004950717772432 y1[1] (numeric) = 0.81045688053923637105008056353166 absolute error = 3.13215375375100057338580734e-06 relative error = 0.0003864691550863466607937464925181 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5050.7MB, alloc=4.4MB, time=469.22 memory used=5054.5MB, alloc=4.5MB, time=469.50 NO POLE NO POLE x[1] = 0.1908 y2[1] (analytic) = 1.9818528337760665990398536527648 y2[1] (numeric) = 1.9817137537578770523616607660215 absolute error = 0.0001390800181895466781928867433 relative error = 0.0070176763793583272479030452120115 % h = 0.0001 y1[1] (analytic) = 0.81035556215404646708890154192867 y1[1] (numeric) = 0.81035870819271012116235428504155 absolute error = 3.14603866365407345274311288e-06 relative error = 0.00038822941565199249582386792926621 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5058.3MB, alloc=4.5MB, time=469.76 NO POLE NO POLE x[1] = 0.1909 y2[1] (analytic) = 1.9818338644230494463035748756419 y2[1] (numeric) = 1.9816943217084250286209399631313 absolute error = 0.0001395427146244176826349125106 relative error = 0.0070410904329279534676816290565837 % h = 0.0001 y1[1] (analytic) = 0.81025737781905469100746092038786 y1[1] (numeric) = 0.81026053778884640070173557889591 absolute error = 3.15996979170969427465850805e-06 relative error = 0.00038999580605057735012376137300166 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5062.1MB, alloc=4.5MB, time=470.05 memory used=5065.9MB, alloc=4.5MB, time=470.33 NO POLE NO POLE x[1] = 0.191 y2[1] (analytic) = 1.9818148852516936575187505029481 y2[1] (numeric) = 1.9816748788098392983399784502821 absolute error = 0.000140006441854359178772052666 relative error = 0.007064556982403436581088409026563 % h = 0.0001 y1[1] (analytic) = 0.81015919538148913515428487112495 y1[1] (numeric) = 0.81016236932873007394686909212953 absolute error = 3.17394724093879258422100458e-06 relative error = 0.00039176834121400534465518320895818 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5069.8MB, alloc=4.5MB, time=470.60 NO POLE NO POLE x[1] = 0.1911 y2[1] (analytic) = 1.9817958962621890243987802627704 y2[1] (numeric) = 1.9816554250611380371439388559219 absolute error = 0.0001404712010509872548414068485 relative error = 0.0070880760887600050462332660474339 % h = 0.0001 y1[1] (analytic) = 0.81006101484233162390421076569227 y1[1] (numeric) = 0.81006420281344610335978575044318 absolute error = 3.18797111447945557498475091e-06 relative error = 0.00039354703609578777173594620975799 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5073.6MB, alloc=4.5MB, time=470.87 NO POLE NO POLE memory used=5077.4MB, alloc=4.5MB, time=471.16 x[1] = 0.1912 y2[1] (analytic) = 1.9817768974547254368385522447291 y2[1] (numeric) = 1.9816359604613394396420642387095 absolute error = 0.0001409369933859971964880060196 relative error = 0.0071116478129807729262276213194781 % h = 0.0001 y1[1] (analytic) = 0.80996283620256396264799554543119 y1[1] (numeric) = 0.80996603824407954958400484107118 absolute error = 3.20204151558693600929563999e-06 relative error = 0.00039533190567105674408455348233995 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5081.2MB, alloc=4.5MB, time=471.43 NO POLE NO POLE x[1] = 0.1913 y2[1] (analytic) = 1.9817578888294928829125440010313 y2[1] (numeric) = 1.9816164850094617194374961414143 absolute error = 0.000141403820031163475047859617 relative error = 0.0071352722160567426407656502361257 % h = 0.0001 y1[1] (analytic) = 0.80986465946316793778249766757273 y1[1] (numeric) = 0.8098678756217155714426351138341 absolute error = 3.21615854763366013744626137e-06 relative error = 0.00039712296493657885252760459107097 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5085.0MB, alloc=4.5MB, time=471.70 NO POLE NO POLE x[1] = 0.1914 y2[1] (analytic) = 1.9817388703866814488729226657266 y2[1] (numeric) = 1.9815969987045231091370924548763 absolute error = 0.0001418716821583397358302108503 relative error = 0.0071589493589868077182541134949628 % h = 0.0001 y1[1] (analytic) = 0.80976648462512531670085924127719 y1[1] (numeric) = 0.80976971494743942593647490039557 absolute error = 3.23032231410923561565911838e-06 relative error = 0.00039892022891076883237573982735205 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5088.8MB, alloc=4.5MB, time=471.97 memory used=5092.6MB, alloc=4.5MB, time=472.26 NO POLE NO POLE x[1] = 0.1915 y2[1] (analytic) = 1.9817198421264813191476440921881 y2[1] (numeric) = 1.9815775015455418603612450919295 absolute error = 0.0001423405809394587863990002586 relative error = 0.0071826793027777555484910035074627 % h = 0.0001 y1[1] (analytic) = 0.80966831168941784778268835371085 y1[1] (numeric) = 0.8096715562223364682421112517422 absolute error = 3.24453291862045942289803135e-06 relative error = 0.00040072371263370323847389275651203 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5096.5MB, alloc=4.5MB, time=472.53 NO POLE NO POLE x[1] = 0.1916 y2[1] (analytic) = 1.9817008040490827763385510088334 y2[1] (numeric) = 1.9815579935315362437536974711897 absolute error = 0.0001428105175465325848535376437 relative error = 0.0072064621084442701358932039538613 % h = 0.0001 y1[1] (analytic) = 0.80957014065702726038424158625815 y1[1] (numeric) = 0.80957339944749215171001809390559 absolute error = 3.25879046489132577650764744e-06 relative error = 0.00040253343116713412893162527103825 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5100.3MB, alloc=4.5MB, time=472.80 memory used=5104.1MB, alloc=4.5MB, time=473.09 NO POLE NO POLE x[1] = 0.1917 y2[1] (analytic) = 1.9816817561546762012194701931086 y2[1] (numeric) = 1.9815384746615245489913618106091 absolute error = 0.0001432814931516522281083824995 relative error = 0.0072302978370089348532733607309438 % h = 0.0001 y1[1] (analytic) = 0.80947197152893526482860672096723 y1[1] (numeric) = 0.80947524462399202786265340194551 absolute error = 3.27309505676303404668097828e-06 relative error = 0.00040434939959450275753932360539898 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5107.9MB, alloc=4.5MB, time=473.36 NO POLE NO POLE x[1] = 0.1918 y2[1] (analytic) = 1.9816626984434520727343086637512 y2[1] (numeric) = 1.9815189449345250847941362306988 absolute error = 0.0001437535089269879401724330524 relative error = 0.0072541865495022351961661623010789 % h = 0.0001 y1[1] (analytic) = 0.80937380430612355239588563732728 y1[1] (numeric) = 0.8093770917529217463925553922132 absolute error = 3.28744679819399666975488592e-06 relative error = 0.0004061716330209532748760378329049 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5111.7MB, alloc=4.5MB, time=473.63 memory used=5115.5MB, alloc=4.5MB, time=473.90 NO POLE NO POLE x[1] = 0.1919 y2[1] (analytic) = 1.9816436309156009679951488913527 y2[1] (numeric) = 1.9814994043495561789347216673218 absolute error = 0.0001442265660447890604272240309 relative error = 0.0072781283069625615377042276756313 % h = 0.0001 y1[1] (analytic) = 0.80927563898957379531337739947569 y1[1] (numeric) = 0.80927894083536705516043773291389 absolute error = 3.30184579325984706033343820e-06 relative error = 0.00040800014657334643811475159526079 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5119.4MB, alloc=4.5MB, time=474.17 NO POLE NO POLE x[1] = 0.192 y2[1] (analytic) = 1.9816245535713135622803430272392 y2[1] (numeric) = 1.9814798529056361782484385939575 absolute error = 0.0001447006656773840319044332817 relative error = 0.0073021231704362118840438002737376 % h = 0.0001 y1[1] (analytic) = 0.80917747558026764674576153393323 y1[1] (numeric) = 0.80918079187241380019328377298758 absolute error = 3.31629214615344752223905435e-06 relative error = 0.00040983495540027332953087293651837 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5123.2MB, alloc=4.5MB, time=474.44 memory used=5127.0MB, alloc=4.5MB, time=474.72 NO POLE NO POLE x[1] = 0.1921 y2[1] (analytic) = 1.9816054664107806290326061506898 y2[1] (numeric) = 1.9814602906017834486430435533407 absolute error = 0.0001451758089971803895625973491 relative error = 0.0073261712009773946303404459254803 % h = 0.0001 y1[1] (analytic) = 0.80907931407918674078528149796545 y1[1] (numeric) = 0.80908264486514792568243978932709 absolute error = 3.33078596118489715829136164e-06 relative error = 0.00041167607467206908371974127571185 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5130.8MB, alloc=4.5MB, time=474.99 NO POLE NO POLE x[1] = 0.1922 y2[1] (analytic) = 1.9815863694341930398571085345109 y2[1] (numeric) = 1.9814407174370163751085454983757 absolute error = 0.0001456519971766647485630361352 relative error = 0.0073502724596482313172749533771306 % h = 0.0001 y1[1] (analytic) = 0.80898115448731269244192833866841 y1[1] (numeric) = 0.8089844998146554739817072523525 absolute error = 3.34532734278153977891368409e-06 relative error = 0.00041352351958082662352894974052037 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5134.6MB, alloc=4.5MB, time=475.27 memory used=5138.4MB, alloc=4.5MB, time=475.54 NO POLE NO POLE x[1] = 0.1923 y2[1] (analytic) = 1.9815672626417417645195669289858 y2[1] (numeric) = 1.9814211334103533617270219422278 absolute error = 0.000146129231388402792544986758 relative error = 0.0073744270075187593881296356892697 % h = 0.0001 y1[1] (analytic) = 0.80888299680562709763362454287696 y1[1] (numeric) = 0.80888635672202258560543410996104 absolute error = 3.35991639548797180956708408e-06 relative error = 0.00041537730534041040471128623112516 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5142.2MB, alloc=4.5MB, time=475.81 NO POLE NO POLE x[1] = 0.1924 y2[1] (analytic) = 1.9815481460336178709443348642197 y2[1] (numeric) = 1.9814015385208128316824349174948 absolute error = 0.0001466075128050392618999467249 relative error = 0.007398634905666934946415230992131 % h = 0.0001 y1[1] (analytic) = 0.80878484103511153317640807799371 y1[1] (numeric) = 0.80878821558833549922660508987152 absolute error = 3.37455322396605019701187781e-06 relative error = 0.00041723744718647016930410076809513 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5146.1MB, alloc=4.5MB, time=476.08 NO POLE NO POLE x[1] = 0.1925 y2[1] (analytic) = 1.9815290196100125252124919708972 y2[1] (numeric) = 1.9813819327674132272704467443589 absolute error = 0.0001470868425992979420452265383 relative error = 0.0074228962151786355140486010755172 % h = 0.0001 y1[1] (analytic) = 0.8086866871767475567746166238368 y1[1] (numeric) = 0.80869007641468055167493102038239 absolute error = 3.38923793299490031439654559e-06 relative error = 0.00041910396037645470774091085617026 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5149.9MB, alloc=4.5MB, time=476.36 memory used=5153.7MB, alloc=4.5MB, time=476.63 NO POLE NO POLE x[1] = 0.1926 y2[1] (analytic) = 1.9815098833711169915599323194734 y2[1] (numeric) = 1.9813623161491730099082356076218 absolute error = 0.0001475672219439816516967118516 relative error = 0.0074472109971476627900814264247713 % h = 0.0001 y1[1] (analytic) = 0.80858853523151670701107199560471 y1[1] (numeric) = 0.80859193920214417793493716956252 absolute error = 3.40397062747092386517395781e-06 relative error = 0.00042097686018962562970106075731473 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5157.5MB, alloc=4.5MB, time=476.90 NO POLE NO POLE x[1] = 0.1927 y2[1] (analytic) = 1.9814907373171226323754517778166 y2[1] (numeric) = 1.9813426886651106601443109425251 absolute error = 0.0001480486520119722311408352915 relative error = 0.0074715793126757454099800962465884 % h = 0.0001 y1[1] (analytic) = 0.80849038520040050333726475805624 y1[1] (numeric) = 0.80849380395181291114405060289386 absolute error = 3.41875141240780678584483762e-06 relative error = 0.0004228561619270711437032547694926 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5161.3MB, alloc=4.5MB, time=477.19 memory used=5165.1MB, alloc=4.5MB, time=477.46 NO POLE NO POLE x[1] = 0.1928 y2[1] (analytic) = 1.9814715814482209081988343873215 y2[1] (numeric) = 1.9813230503142446776683286292567 absolute error = 0.0001485311339762305305057580648 relative error = 0.0074960012228725417054569921979623 % h = 0.0001 y1[1] (analytic) = 0.80839223708438044606353903100376 y1[1] (numeric) = 0.80839567066477338259068655938509 absolute error = 3.43358039293652714752838133e-06 relative error = 0.00042474188091171984544878878923986 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5168.9MB, alloc=4.5MB, time=477.73 NO POLE NO POLE x[1] = 0.1929 y2[1] (analytic) = 1.9814524157646033777189377575136 y2[1] (numeric) = 1.9813034010955935813209059960462 absolute error = 0.0001490146690097963980317614674 relative error = 0.0075204767888556424648533645597821 % h = 0.0001 y1[1] (analytic) = 0.80829409088443801634927748621797 y1[1] (numeric) = 0.80829753934211232171233384617535 absolute error = 3.44845767430536305635995738e-06 relative error = 0.00042663403248835451492030860366265 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5172.8MB, alloc=4.5MB, time=478.01 memory used=5176.6MB, alloc=4.5MB, time=478.29 NO POLE NO POLE x[1] = 0.193 y2[1] (analytic) = 1.9814332402664616977717774791618 y2[1] (numeric) = 1.9812837410081759091034366307505 absolute error = 0.0001494992582857886683408484113 relative error = 0.0075450060717505736940739995542001 % h = 0.0001 y1[1] (analytic) = 0.80819594660155467619308653584224 y1[1] (numeric) = 0.80819940998491655609363925164729 absolute error = 3.46338336187990055271580505e-06 relative error = 0.00042853263202362592224192758767904 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5180.4MB, alloc=4.5MB, time=478.56 NO POLE NO POLE x[1] = 0.1931 y2[1] (analytic) = 1.9814140549539876233386105559198 y2[1] (numeric) = 1.9812640700510102181879050008317 absolute error = 0.0001499849029774051507055550881 relative error = 0.0075695891326907993780738766946469 % h = 0.0001 y1[1] (analytic) = 0.80809780423671186842298171241472 y1[1] (numeric) = 0.80810128259427301146449097706848 absolute error = 3.47835756114304150926465376e-06 relative error = 0.00043043769490606664230654063661819 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5184.2MB, alloc=4.5MB, time=478.83 memory used=5188.0MB, alloc=4.5MB, time=479.12 NO POLE NO POLE x[1] = 0.1932 y2[1] (analytic) = 1.9813948598273730075440178545155 y2[1] (numeric) = 1.9812443882231150849267008816292 absolute error = 0.0001504716042579226173169728863 relative error = 0.0075942260328177242428970150503344 % h = 0.0001 y1[1] (analytic) = 0.80799966379089101668657324059638 y1[1] (numeric) = 0.80800315717126871169810108678046 absolute error = 3.49338037769501152784618408e-06 relative error = 0.0004323492365461048781761753948304 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5191.8MB, alloc=4.5MB, time=479.39 NO POLE NO POLE x[1] = 0.1933 y2[1] (analytic) = 1.9813756548868098016539855735063 y2[1] (numeric) = 1.9812246955235091048624335928275 absolute error = 0.0001509593633006967915519806788 relative error = 0.0076189168332806965182677073152246 % h = 0.0001 y1[1] (analytic) = 0.80790152526507352544125180070307 y1[1] (numeric) = 0.80790503371699077880908697695453 absolute error = 3.50845191725336783517625146e-06 relative error = 0.00043426727237607829326122602777227 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5195.6MB, alloc=4.5MB, time=479.66 memory used=5199.5MB, alloc=4.5MB, time=479.94 NO POLE NO POLE x[1] = 0.1934 y2[1] (analytic) = 1.9813564401324900550739857306214 y2[1] (numeric) = 1.9812049919512108927377460430218 absolute error = 0.0001514481812791623362396875996 relative error = 0.0076436615952370107007343407562133 % h = 0.0001 y1[1] (analytic) = 0.80780338866024077994437448413979 y1[1] (numeric) = 0.80780691223252643295155186293347 absolute error = 3.52357228565300717737879368e-06 relative error = 0.00043619181785024785228441898747809 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5203.3MB, alloc=4.5MB, time=480.21 NO POLE NO POLE x[1] = 0.1935 y2[1] (analytic) = 1.981337215564605915347055668708 y2[1] (numeric) = 1.9811852775052390825051285822837 absolute error = 0.0001519380593668328419270864243 relative error = 0.007668460379851910317366003946822 % h = 0.0001 y1[1] (analytic) = 0.80770525397737414624345094083532 y1[1] (numeric) = 0.80770879271896299241716428517843 absolute error = 3.53874158884617371334434311e-06 relative error = 0.00043812288844481167103536443943073 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5207.1MB, alloc=4.5MB, time=480.48 NO POLE NO POLE memory used=5210.9MB, alloc=4.5MB, time=480.75 x[1] = 0.1936 y2[1] (analytic) = 1.9813179811833496281518765803031 y2[1] (numeric) = 1.9811655521846123273367326626279 absolute error = 0.0001524289987373008151439176752 relative error = 0.0076933132482985906900020785591971 % h = 0.0001 y1[1] (analytic) = 0.80760712121745497116632971877527 y1[1] (numeric) = 0.80761067517738787363323663384017 absolute error = 3.55395993290246690691506490e-06 relative error = 0.00044006049965791887492155123280714 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5214.7MB, alloc=4.5MB, time=481.03 NO POLE NO POLE x[1] = 0.1937 y2[1] (analytic) = 1.9812987369889135373008510508482 y2[1] (numeric) = 1.9811458159883492996341843062825 absolute error = 0.0001529210005642376666667445657 relative error = 0.0077182202617582017000550152330039 % h = 0.0001 y1[1] (analytic) = 0.80750899038146458231138479573182 y1[1] (numeric) = 0.80751255960888859116080269197383 absolute error = 3.56922742400884941789624201e-06 relative error = 0.00044200466700968346632164748360013 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5218.5MB, alloc=4.5MB, time=481.30 NO POLE NO POLE x[1] = 0.1938 y2[1] (analytic) = 1.9812794829814900847381796205666 y2[1] (numeric) = 1.9811260689154686910383973816646 absolute error = 0.000153414066021393699782238902 relative error = 0.0077431814814198505538664927599979 % h = 0.0001 y1[1] (analytic) = 0.80741086147038428803770230328808 y1[1] (numeric) = 0.80741444601455275769269419741652 absolute error = 3.58454416846965499189412844e-06 relative error = 0.00044395540604219820074697311264156 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5222.4MB, alloc=4.5MB, time=481.57 memory used=5226.2MB, alloc=4.5MB, time=481.85 NO POLE NO POLE x[1] = 0.1939 y2[1] (analytic) = 1.9812602191612718105379363650231 y2[1] (numeric) = 1.9811063109649892124393866869632 absolute error = 0.0001539081962825980985496780599 relative error = 0.0077681969684806045486171598666426 % h = 0.0001 y1[1] (analytic) = 0.80731273448519537745526744325549 y1[1] (numeric) = 0.80731633439546808405161642334692 absolute error = 3.59991027270659634898009143e-06 relative error = 0.0004459127323195484718170148276006 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5230.0MB, alloc=4.5MB, time=482.12 NO POLE NO POLE x[1] = 0.194 y2[1] (analytic) = 1.9812409455284513529021434943852 y2[1] (numeric) = 1.9810865421359295939860808412305 absolute error = 0.0001544033925217589160626531547 relative error = 0.0077932667841454938387901589409452 % h = 0.0001 y1[1] (analytic) = 0.8072146094268791204151515965821 y1[1] (numeric) = 0.80721822475272237918822277754612 absolute error = 3.61532584325877307118096402e-06 relative error = 0.00044787666142782620505485833818652 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5233.8MB, alloc=4.5MB, time=482.39 memory used=5237.6MB, alloc=4.5MB, time=482.67 NO POLE NO POLE x[1] = 0.1941 y2[1] (analytic) = 1.9812216620832214481588449714039 y2[1] (numeric) = 1.9810667624273085850961349828846 absolute error = 0.0001548996559128630627099885193 relative error = 0.0078183909896275142031886309570333 % h = 0.0001 y1[1] (analytic) = 0.80711648629641676749969962485003 y1[1] (numeric) = 0.80712011708740355017918842037904 absolute error = 3.63079098678267948879552901e-06 relative error = 0.00044984720897514376050841677713564 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5241.4MB, alloc=4.5MB, time=482.94 NO POLE NO POLE x[1] = 0.1942 y2[1] (analytic) = 1.9812023688257749307601791481354 y2[1] (numeric) = 1.981046971838144954465743275525 absolute error = 0.0001553969876299762944358726104 relative error = 0.0078435696461476298125074011469996 % h = 0.0001 y1[1] (analytic) = 0.80701836509478955001271736446023 y1[1] (numeric) = 0.80702201140059960222528290151557 absolute error = 3.64630581005221256553705534e-06 relative error = 0.00045182439059164784420333852705114 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5245.2MB, alloc=4.5MB, time=483.21 memory used=5249.1MB, alloc=4.5MB, time=483.48 NO POLE NO POLE x[1] = 0.1943 y2[1] (analytic) = 1.9811830657563047332804504214209 y2[1] (numeric) = 1.981027170367457490079451220962 absolute error = 0.0001558953888472432009992004589 relative error = 0.0078688028149347759974590448315287 % h = 0.0001 y1[1] (analytic) = 0.80692024582297867996965931360256 y1[1] (numeric) = 0.8069239076933986386494418154108 absolute error = 3.66187041995867978250180824e-06 relative error = 0.00045380822192953342843348192732242 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5252.9MB, alloc=4.5MB, time=483.75 NO POLE NO POLE x[1] = 0.1944 y2[1] (analytic) = 1.9811637528750038864141999071457 y2[1] (numeric) = 1.9810073580142649992199677793636 absolute error = 0.0001563948607388871942321277821 relative error = 0.0078940905572258620174545329503004 % h = 0.0001 y1[1] (analytic) = 0.80682212848196535008781651210945 y1[1] (numeric) = 0.80682580596688886089483747556359 absolute error = 3.67748492351080702096345414e-06 relative error = 0.00045579871866305768089484852733288 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5256.7MB, alloc=4.5MB, time=484.02 memory used=5260.5MB, alloc=4.5MB, time=484.30 NO POLE NO POLE x[1] = 0.1945 y2[1] (analytic) = 1.9811444301820655189742751332948 y2[1] (numeric) = 1.9809875347775863084779772964198 absolute error = 0.000156895404479210496297836875 relative error = 0.0079194329342657738298386568718509 % h = 0.0001 y1[1] (analytic) = 0.80672401307273073377650461429116 y1[1] (numeric) = 0.80672770622215856852294860757275 absolute error = 3.69314942783474644399328159e-06 relative error = 0.00045779589648855390266887082425543 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5264.3MB, alloc=4.5MB, time=484.57 NO POLE NO POLE x[1] = 0.1946 y2[1] (analytic) = 1.9811250976776828578898987518262 y2[1] (numeric) = 1.9809677006564402637619512374278 absolute error = 0.0001573970212425941279475143984 relative error = 0.007944830007307376859680432136579 % h = 0.0001 y1[1] (analytic) = 0.80662589959625598512725215485079 y1[1] (numeric) = 0.80662960846029615921162906101021 absolute error = 3.70886404017408437690615942e-06 relative error = 0.00045979977112444547506095466445375 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5268.1MB, alloc=4.5MB, time=484.84 memory used=5271.9MB, alloc=4.5MB, time=485.12 NO POLE NO POLE x[1] = 0.1947 y2[1] (analytic) = 1.9811057553620492282047362693806 y2[1] (numeric) = 1.980947855649845730307959728199 absolute error = 0.0001578997122034978967765411816 relative error = 0.0079702818376115187701186808454991 % h = 0.0001 y1[1] (analytic) = 0.80652778805352223890398900797719 y1[1] (numeric) = 0.80653151268239012875317554013035 absolute error = 3.72462886788984918653215316e-06 relative error = 0.00046181035831125981530018070797367 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5275.8MB, alloc=4.5MB, time=485.38 NO POLE NO POLE x[1] = 0.1948 y2[1] (analytic) = 1.9810864032353580530749627968462 y2[1] (numeric) = 1.9809279997568215926894829026903 absolute error = 0.0001584034785364603854798941559 relative error = 0.0079957884864470322332629923804572 % h = 0.0001 y1[1] (analytic) = 0.8064296784455106105332350397138 y1[1] (numeric) = 0.80643341888952907105239435343502 absolute error = 3.74044401846051915931372122e-06 relative error = 0.00046382767381164234110607366492121 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5279.6MB, alloc=4.5MB, time=485.65 NO POLE NO POLE x[1] = 0.1949 y2[1] (analytic) = 1.9810670412978028537673288177981 y2[1] (numeric) = 1.9809081329763867548272220572609 absolute error = 0.0001589083214160989401067605372 relative error = 0.0080213500150907377016502623014208 % h = 0.0001 y1[1] (analytic) = 0.80633157077320219609428895370167 y1[1] (numeric) = 0.80633532708280167812466718211334 absolute error = 3.75630959948203037822841167e-06 relative error = 0.00046585173341037044412835218383312 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5283.4MB, alloc=4.5MB, time=485.92 memory used=5287.2MB, alloc=4.5MB, time=486.20 NO POLE NO POLE x[1] = 0.195 y2[1] (analytic) = 1.9810476695495772496572249758333 y2[1] (numeric) = 1.9808882553075601399989106114574 absolute error = 0.0001594142420171096583143643759 relative error = 0.0080469664848274461802570093153254 % h = 0.0001 y1[1] (analytic) = 0.80623346503757807230941733039465 y1[1] (numeric) = 0.80623723726329674009401586737584 absolute error = 3.77222571866778459853698119e-06 relative error = 0.00046788255291436747226557661908979 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5291.0MB, alloc=4.5MB, time=486.47 NO POLE NO POLE x[1] = 0.1951 y2[1] (analytic) = 1.9810282879908749582267458808176 y2[1] (numeric) = 1.9808683667493606908491248752279 absolute error = 0.0001599212415142673776210055897 relative error = 0.0080726379569499619990676701336784 % h = 0.0001 y1[1] (analytic) = 0.80613536123961929653404385984484 y1[1] (numeric) = 0.80613914943210314519116621670217 absolute error = 3.78819248384865712235685733e-06 relative error = 0.00046992014815271672086861611088624 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5294.8MB, alloc=4.5MB, time=486.74 memory used=5298.6MB, alloc=4.5MB, time=487.03 NO POLE NO POLE x[1] = 0.1952 y2[1] (analytic) = 1.9810088966218897950627529340667 y2[1] (numeric) = 1.9808484673008073693990946224683 absolute error = 0.0001604293210824256636583115984 relative error = 0.008098364492759085586199072266735 % h = 0.0001 y1[1] (analytic) = 0.8060372593803069067469387681566 y1[1] (numeric) = 0.80604106359030987975161082902176 absolute error = 3.80421000297300467206086516e-06 relative error = 0.00047196453497667543283486066691029 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5302.5MB, alloc=4.5MB, time=487.30 NO POLE NO POLE x[1] = 0.1953 y2[1] (analytic) = 1.9809894954428156738549361724789 y2[1] (numeric) = 1.9808285569609191570565134708019 absolute error = 0.000160938481896516798422701677 relative error = 0.0081241461535636162415812847147297 % h = 0.0001 y1[1] (analytic) = 0.80593915946062192154040843770698 y1[1] (numeric) = 0.80594297973900602821367093884682 absolute error = 3.82027838410667326250113984e-06 relative error = 0.0004740157292596888075991082571082 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5306.3MB, alloc=4.5MB, time=487.57 memory used=5310.1MB, alloc=4.5MB, time=487.85 NO POLE NO POLE x[1] = 0.1954 y2[1] (analytic) = 1.9809700844538466063938751316403 y2[1] (numeric) = 1.9808086357287150546253490674942 absolute error = 0.0001614487251315517685260641461 relative error = 0.0081499830006803549111950467069343 % h = 0.0001 y1[1] (analytic) = 0.80584106148154534011048522123086 y1[1] (numeric) = 0.80584489787928077311655727937705 absolute error = 3.83639773543300607205814619e-06 relative error = 0.00047607374689740401902706114685323 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5313.9MB, alloc=4.5MB, time=488.12 NO POLE NO POLE x[1] = 0.1955 y2[1] (analytic) = 1.98095066365517670256909872792 y2[1] (numeric) = 1.9807887036032140823156530814049 absolute error = 0.0001619600519626202534456465151 relative error = 0.0081758750954341069618659745166834 % h = 0.0001 y1[1] (analytic) = 0.80574296544405814224711744986875 y1[1] (numeric) = 0.80574681801222339509842996459547 absolute error = 3.85256816525285131251472672e-06 relative error = 0.00047813860380768424221737001404848 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5317.7MB, alloc=4.5MB, time=488.39 memory used=5321.5MB, alloc=4.5MB, time=488.67 NO POLE NO POLE x[1] = 0.1956 y2[1] (analytic) = 1.9809312330470001703671441595771 y2[1] (numeric) = 1.9807687605834352797533710008794 absolute error = 0.0001624724635648906137731586977 relative error = 0.0082018224991576849566157466364603 % h = 0.0001 y1[1] (analytic) = 0.80564487134914128832435963527556 y1[1] (numeric) = 0.80564874013892327289445739037475 absolute error = 3.86878978198457009775509919e-06 relative error = 0.00048021031593062268921816862372047 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5325.3MB, alloc=4.5MB, time=488.94 NO POLE NO POLE x[1] = 0.1957 y2[1] (analytic) = 1.9809117926295113158696148268962 y2[1] (numeric) = 1.9807488066683977059901517374812 absolute error = 0.000162985961113609879463089415 relative error = 0.0082278252731919114305704674392181 % h = 0.0001 y1[1] (analytic) = 0.80554677919777571929056286588816 y1[1] (numeric) = 0.80555066426046988333487415461345 absolute error = 3.88506269416404431128872529e-06 relative error = 0.00048228889922855665366404617793582 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5329.2MB, alloc=4.5MB, time=489.21 memory used=5333.0MB, alloc=4.5MB, time=489.48 NO POLE NO POLE x[1] = 0.1958 y2[1] (analytic) = 1.9808923424029045432512372713737 y2[1] (numeric) = 1.980728841857120439513157035467 absolute error = 0.0001635005457841037380802359067 relative error = 0.0082538834788856216674264097686854 % h = 0.0001 y1[1] (analytic) = 0.80544868899094235665856539745007 y1[1] (numeric) = 0.80545259037795280134303799642162 absolute error = 3.90138701044468447259897155e-06 relative error = 0.00048437436968608156433940868240436 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5336.8MB, alloc=4.5MB, time=489.75 NO POLE NO POLE x[1] = 0.1959 y2[1] (analytic) = 1.9808728823673743547779171339717 y2[1] (numeric) = 1.9807088661486225782548706869072 absolute error = 0.0001640162187517765230464470645 relative error = 0.0082799971775956664764733366324701 % h = 0.0001 y1[1] (analytic) = 0.80535060072962210249588343789127 y1[1] (numeric) = 0.80535451849246169993348575437513 absolute error = 3.91776283959743760231648386e-06 relative error = 0.00048646674331006504767418499106708 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5340.6MB, alloc=4.5MB, time=490.03 NO POLE NO POLE memory used=5344.4MB, alloc=4.5MB, time=490.30 x[1] = 0.196 y2[1] (analytic) = 1.9808534125231153508047941324606 y2[1] (numeric) = 1.9806888795419232396029075523527 absolute error = 0.0001645329811921112018865801079 relative error = 0.0083061664306869149701756025338327 % h = 0.0001 y1[1] (analytic) = 0.80525251441479583941490212666118 y1[1] (numeric) = 0.80525644860508635020998834385825 absolute error = 3.93419029051079508621719707e-06 relative error = 0.00048856603612966099917783749093124 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5348.2MB, alloc=4.5MB, time=490.58 NO POLE NO POLE x[1] = 0.1961 y2[1] (analytic) = 1.9808339328703222297742960578696 y2[1] (numeric) = 1.9806688820360415604098223869505 absolute error = 0.0001650508342806693644736709191 relative error = 0.0083323912995322573423112348554938 % h = 0.0001 y1[1] (analytic) = 0.805154430047444430563066708613 y1[1] (numeric) = 0.80515838071691662136360475351387 absolute error = 3.95066947219080053804490087e-06 relative error = 0.0004906722641963236638176416490262 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5352.1MB, alloc=4.5MB, time=490.85 NO POLE NO POLE x[1] = 0.1962 y2[1] (analytic) = 1.9808144434091897882141917900638 y2[1] (numeric) = 1.9806488736299966970029184719103 absolute error = 0.0001655697791930912112733181535 relative error = 0.008358671845512607646669195752924 % h = 0.0001 y1[1] (analytic) = 0.80505634762854871961307390253742 y1[1] (numeric) = 0.80506031482904248067073506082085 absolute error = 3.96720049376105766115828343e-06 relative error = 0.0004927854435838217253472029745976 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5355.9MB, alloc=4.5MB, time=491.12 memory used=5359.7MB, alloc=4.5MB, time=491.39 NO POLE NO POLE x[1] = 0.1963 y2[1] (analytic) = 1.9807949441399129207356433324682 y2[1] (numeric) = 1.9806288543228078251940560512229 absolute error = 0.0001660898171050955415872812453 relative error = 0.0083850081300169065763050252202196 % h = 0.0001 y1[1] (analytic) = 0.80495826715908953075306346444386 y1[1] (numeric) = 0.80496225094255399349117246681795 absolute error = 3.98378346446273810900237409e-06 relative error = 0.00049490559038825240459118422590448 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5363.5MB, alloc=4.5MB, time=491.66 NO POLE NO POLE x[1] = 0.1964 y2[1] (analytic) = 1.9807754350626866200312568659576 y2[1] (numeric) = 1.9806088241134941402894605735338 absolute error = 0.0001666109491924797417962924238 relative error = 0.0084114002144421242433550658490196 % h = 0.0001 y1[1] (analytic) = 0.80486018864004766867680994568719 y1[1] (numeric) = 0.80486418905854132326615434999384 absolute error = 4.00041849365458934440430665e-06 relative error = 0.00049703272072805556669222002647187 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5367.3MB, alloc=4.5MB, time=491.94 memory used=5371.1MB, alloc=4.5MB, time=492.22 NO POLE NO POLE x[1] = 0.1965 y2[1] (analytic) = 1.9807559161777059768731328219326 y2[1] (numeric) = 1.9805887830010748570995307390725 absolute error = 0.0001671331766311197736020828601 relative error = 0.0084378481601932629594094700621483 % h = 0.0001 y1[1] (analytic) = 0.80476211207240391857391464603821 y1[1] (numeric) = 0.80476612917809473151641233936265 absolute error = 4.01710569081294249769332444e-06 relative error = 0.00049916685074402783732600031624968 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5374.9MB, alloc=4.5MB, time=492.49 NO POLE NO POLE x[1] = 0.1966 y2[1] (analytic) = 1.9807363874851661801109149745994 y2[1] (numeric) = 1.9805687309845692099486463515405 absolute error = 0.0001676565005969701622686230589 relative error = 0.0084643520286833600164441904055329 % h = 0.0001 y1[1] (analytic) = 0.80466403745713904611999776179577 y1[1] (numeric) = 0.8046680713023045778402214067446 absolute error = 4.03384516553172022364494883e-06 relative error = 0.00050130799659933672789050843267291 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5378.8MB, alloc=4.5MB, time=492.75 memory used=5382.6MB, alloc=4.5MB, time=493.03 NO POLE NO POLE x[1] = 0.1967 y2[1] (analytic) = 1.9807168489852625166698385524758 y2[1] (numeric) = 1.9805486680629964526849759748591 absolute error = 0.0001681809222660639848625776167 relative error = 0.0084909118813334904683121538694241 % h = 0.0001 y1[1] (analytic) = 0.80456596479523379746689072903878 y1[1] (numeric) = 0.80457001543226131991144797827119 absolute error = 4.05063702752244455724923241e-06 relative error = 0.00050345617447953476967540387648772 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5386.4MB, alloc=4.5MB, time=493.30 NO POLE NO POLE x[1] = 0.1968 y2[1] (analytic) = 1.9806973006781903715487773691401 y2[1] (numeric) = 1.9805285942353758586902843946799 absolute error = 0.0001687064428145128584929744602 relative error = 0.0085175277795727699127938208856513 % h = 0.0001 y1[1] (analytic) = 0.80446789408766889923282876211604 y1[1] (numeric) = 0.80447196156905551347759706513448 absolute error = 4.06748138661424476830301844e-06 relative error = 0.00050561140059257365701754417983167 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5390.2MB, alloc=4.5MB, time=493.57 memory used=5394.0MB, alloc=4.5MB, time=493.87 NO POLE NO POLE x[1] = 0.1969 y2[1] (analytic) = 1.9806777425641452278182899732442 y2[1] (numeric) = 1.9805085095007267208897398845587 absolute error = 0.0001692330634185069285500886855 relative error = 0.0085441997848383572742073300452663 % h = 0.0001 y1[1] (analytic) = 0.80436982533542505849264358747206 y1[1] (numeric) = 0.80437390971377781235785841359997 absolute error = 4.08437835275386521482612791e-06 relative error = 0.00050777369116881839944864458177821 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5397.8MB, alloc=4.5MB, time=494.14 NO POLE NO POLE x[1] = 0.197 y2[1] (analytic) = 1.980658174643322666618664817809 y2[1] (numeric) = 1.9804884138580683517617212766956 absolute error = 0.0001697607852543148569435411134 relative error = 0.0085709279585754575865784293677352 % h = 0.0001 y1[1] (analytic) = 0.80427175853948296276795637290694 y1[1] (numeric) = 0.80427585986751896844115167430264 absolute error = 4.10132803600567319530139570e-06 relative error = 0.00050994306246106148284107855859354 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5401.6MB, alloc=4.5MB, time=494.41 NO POLE NO POLE memory used=5405.5MB, alloc=4.5MB, time=494.68 x[1] = 0.1971 y2[1] (analytic) = 1.9806385969159183671579644488242 y2[1] (numeric) = 1.9804683073064200833476248371434 absolute error = 0.0001702896094982838103396116808 relative error = 0.0085977123622373247773703952444903 % h = 0.0001 y1[1] (analytic) = 0.80417369370082328001737085236831 y1[1] (numeric) = 0.80417781203136983168417059084571 absolute error = 4.11833054655166679973847740e-06 relative error = 0.00051211953074453703955782659144024 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5409.3MB, alloc=4.5MB, time=494.96 NO POLE NO POLE x[1] = 0.1972 y2[1] (analytic) = 1.9806190093821281067100687131685 y2[1] (numeric) = 1.980448189844801267261670945385 absolute error = 0.0001708195373268394483977677835 relative error = 0.0086245530572852644517741399968026 % h = 0.0001 y1[1] (analytic) = 0.80407563082042665862666664637345 y1[1] (numeric) = 0.80407976620642135010942620772164 absolute error = 4.13538599469148275956134819e-06 relative error = 0.00051430311231693502761258486453269 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5413.1MB, alloc=4.5MB, time=495.24 NO POLE NO POLE x[1] = 0.1973 y2[1] (analytic) = 1.9805994120421477606127169858724 y2[1] (numeric) = 1.9804280614722312747007105781834 absolute error = 0.000171350569916485912006407689 relative error = 0.0086514501051886366775587092089425 % h = 0.0001 y1[1] (analytic) = 0.80397756989927372739899277815972 y1[1] (numeric) = 0.80398172239376456980328909757495 absolute error = 4.15249449084240429631941523e-06 relative error = 0.00051649382349841541884604992649997 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5416.9MB, alloc=4.5MB, time=495.50 memory used=5420.7MB, alloc=4.5MB, time=495.79 NO POLE NO POLE x[1] = 0.1974 y2[1] (analytic) = 1.9805798048961733022655494167433 y2[1] (numeric) = 1.9804079221877294964540315976049 absolute error = 0.0001718827084438058115178191384 relative error = 0.0086784035674248587704823700773132 % h = 0.0001 y1[1] (analytic) = 0.80387951093834509554506138566118 y1[1] (numeric) = 0.80388368059449063491403060782648 absolute error = 4.16965614553936896922216530e-06 relative error = 0.00051869168063162239612439972071004 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5424.5MB, alloc=4.5MB, time=496.07 NO POLE NO POLE x[1] = 0.1975 y2[1] (analytic) = 1.9805601879444008031281471963696 y2[1] (numeric) = 1.9803877719903153429131648431179 absolute error = 0.0001724159540854602149823532517 relative error = 0.008705413505479408080264491828376 % h = 0.0001 y1[1] (analytic) = 0.80378145393862135267334162940968 y1[1] (numeric) = 0.80378564080969078764986312667861 absolute error = 4.18687106943497652149726893e-06 relative error = 0.00052089670008169855956599566844767 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5428.3MB, alloc=4.5MB, time=496.34 memory used=5432.2MB, alloc=4.5MB, time=496.62 NO POLE NO POLE x[1] = 0.1976 y2[1] (analytic) = 1.9805405611870264327180718415273 y2[1] (numeric) = 1.9803676108790082440816900276696 absolute error = 0.0001729503080181886363818138577 relative error = 0.0087324799808458247771184196610312 % h = 0.0001 y1[1] (analytic) = 0.80368339890108306878025379645833 y1[1] (numeric) = 0.80368760304045636827697936852107 absolute error = 4.20413937329949672557206274e-06 relative error = 0.00052310889823629914180233489223947 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5436.0MB, alloc=4.5MB, time=496.90 NO POLE NO POLE x[1] = 0.1977 y2[1] (analytic) = 1.9805209246242464586089035000058 y2[1] (numeric) = 1.980347438852827649585041437642 absolute error = 0.0001734857714188090238620623638 relative error = 0.0087596030550257146388455434257837 % h = 0.0001 y1[1] (analytic) = 0.80358534582671079424036360042546 y1[1] (numeric) = 0.80358956728787881511759067875698 absolute error = 4.22146116802087722707833152e-06 relative error = 0.00052532829150560623227928599010152 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5439.8MB, alloc=4.5MB, time=497.17 memory used=5443.6MB, alloc=4.5MB, time=497.44 NO POLE NO POLE x[1] = 0.1978 y2[1] (analytic) = 1.9805012782562572464282782748736 y2[1] (numeric) = 1.9803272559107930286803134365894 absolute error = 0.0001740223454642177479648382842 relative error = 0.0087867827895287518384907624691078 % h = 0.0001 y1[1] (analytic) = 0.80348729471648505979657667775713 y1[1] (numeric) = 0.80349153355304966454796435806869 absolute error = 4.23883656460475138768031156e-06 relative error = 0.00052755489632234301060464611949636 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5447.4MB, alloc=4.5MB, time=497.71 NO POLE NO POLE x[1] = 0.1979 y2[1] (analytic) = 1.9804816220832552598559245682038 y2[1] (numeric) = 1.9803070620519238702660657726591 absolute error = 0.0001745600313313895898587955447 relative error = 0.0088140192458726817325595481108522 % h = 0.0001 y1[1] (analytic) = 0.80338924557138637655033328030629 y1[1] (numeric) = 0.80339350183706055099646000614302 absolute error = 4.25626567417444612672583673e-06 relative error = 0.00052978872914178798894806150243739 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5451.2MB, alloc=4.5MB, time=497.99 memory used=5455.1MB, alloc=4.5MB, time=498.26 NO POLE NO POLE x[1] = 0.198 y2[1] (analytic) = 1.9804619561054370606216984442784 y2[1] (numeric) = 1.9802868572752396828921286895978 absolute error = 0.0001750988301973777295697546806 relative error = 0.0088413124855833236497968051912786 % h = 0.0001 y1[1] (analytic) = 0.80329119839239523595180316432647 y1[1] (numeric) = 0.80329547214100320694156488487565 absolute error = 4.27374860797098976172054918e-06 relative error = 0.00053202980644178926349935786653721 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5458.9MB, alloc=4.5MB, time=498.53 NO POLE NO POLE x[1] = 0.1981 y2[1] (analytic) = 1.9804422803229993085036180122911 y2[1] (numeric) = 1.9802666415797599947694078412453 absolute error = 0.0001756387432393137342101710458 relative error = 0.0088686625701945736805277342597193 % h = 0.0001 y1[1] (analytic) = 0.80319315318049210979008067597833 y1[1] (numeric) = 0.80319744446596946290992830107417 absolute error = 4.29128547735311984762509584e-06 relative error = 0.00053427814472277877499133161163583 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5462.7MB, alloc=4.5MB, time=498.80 memory used=5466.5MB, alloc=4.5MB, time=499.08 NO POLE NO POLE x[1] = 0.1982 y2[1] (analytic) = 1.9804225947361387613258968285692 y2[1] (numeric) = 1.9802464149645043537796890094168 absolute error = 0.0001761797716344075462078191524 relative error = 0.0088960695612484074665608960920595 % h = 0.0001 y1[1] (analytic) = 0.80309510993665745018338003344683 y1[1] (numeric) = 0.80309941881305124747439500867957 absolute error = 4.30887639379729101497523274e-06 relative error = 0.00053653376050778657829305696031144 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5470.3MB, alloc=4.5MB, time=499.35 NO POLE NO POLE x[1] = 0.1983 y2[1] (analytic) = 1.9804028993450522749569763183328 y2[1] (numeric) = 1.9802261774284923274854426250774 absolute error = 0.0001767219165599474715336932554 relative error = 0.0089235335202948829916536800415958 % h = 0.0001 y1[1] (analytic) = 0.8029970686618716895692308057673 y1[1] (numeric) = 0.8030013951833405872520376305257 absolute error = 4.32652146889768280682475840e-06 relative error = 0.00053879667034245512107976862226907 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5474.1MB, alloc=4.5MB, time=499.63 NO POLE NO POLE x[1] = 0.1984 y2[1] (analytic) = 1.980383194149936803307557217012 y2[1] (numeric) = 1.9802059289707435031396280927088 memory used=5477.9MB, alloc=4.5MB, time=499.90 absolute error = 0.0001772651791933001679291243032 relative error = 0.008951054508892143372540378090497 % h = 0.0001 y1[1] (analytic) = 0.8028990293571152406946735884583 y1[1] (numeric) = 0.80290337357792960690218809965654 absolute error = 4.34422081436620751451119824e-06 relative error = 0.00054106689079505353158538396069036 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5481.8MB, alloc=4.5MB, time=500.17 NO POLE NO POLE x[1] = 0.1985 y2[1] (analytic) = 1.9803634791509893983286300311418 y2[1] (numeric) = 1.9801856695902774876954979177718 absolute error = 0.00017780956071191063313211337 relative error = 0.0089786325886064196505230662915228 % h = 0.0001 y1[1] (analytic) = 0.80280099202336849660645587605935 y1[1] (numeric) = 0.8028053539979105291244681202208 absolute error = 4.36197454203251801224416145e-06 relative error = 0.00054334443845649191544373295950513 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5485.6MB, alloc=4.5MB, time=500.44 NO POLE NO POLE x[1] = 0.1986 y2[1] (analytic) = 1.9803437543484072100095045188536 y2[1] (numeric) = 1.9801653992861139078164016371654 absolute error = 0.0001783550622933021931028816882 relative error = 0.0090062678210120335836254954453717 % h = 0.0001 y1[1] (analytic) = 0.80270295666161183064122813167169 y1[1] (numeric) = 0.80270733644437567465681864796368 absolute error = 4.37978276384401559051629199e-06 relative error = 0.00054562932994033566162456869696066 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5489.4MB, alloc=4.5MB, time=500.72 memory used=5493.2MB, alloc=4.5MB, time=500.99 NO POLE NO POLE x[1] = 0.1987 y2[1] (analytic) = 1.980324019742387486375838189984 y2[1] (numeric) = 1.9801451180572724098855895525854 absolute error = 0.0001789016851150764902486373986 relative error = 0.0090339602676914004393101928986121 % h = 0.0001 y1[1] (analytic) = 0.8026049232728255964157400535999 y1[1] (numeric) = 0.80260932091841746227352839033541 absolute error = 4.39764559186585778833673551e-06 relative error = 0.00054792158188281975747043542702896 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5497.0MB, alloc=4.5MB, time=501.26 NO POLE NO POLE x[1] = 0.1988 y2[1] (analytic) = 1.9803042753331275734876638258194 y2[1] (numeric) = 1.9801248259027726600160162666835 absolute error = 0.0001794494303549134716475591359 relative error = 0.0090617099902350317877589773867766 % h = 0.0001 y1[1] (analytic) = 0.80250689185799012781703703919257 y1[1] (numeric) = 0.8025113074211284087832613262363 absolute error = 4.41556313828096622428704373e-06 relative error = 0.00055022121094286311284047572369155 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5500.8MB, alloc=4.5MB, time=501.53 memory used=5504.6MB, alloc=4.5MB, time=501.81 NO POLE NO POLE x[1] = 0.1989 y2[1] (analytic) = 1.9802845211208249154374160184979 y2[1] (numeric) = 1.9801045228216343440601440219297 absolute error = 0.0001799982991905713772719965682 relative error = 0.009089517050241538295717088962574 % h = 0.0001 y1[1] (analytic) = 0.80240886241808573899265684598005 y1[1] (numeric) = 0.80241329595360112902708324541809 absolute error = 4.43353551539003442639943804e-06 relative error = 0.00055252823380208289336726255860877 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5508.5MB, alloc=4.5MB, time=502.08 NO POLE NO POLE x[1] = 0.199 y2[1] (analytic) = 1.9802647571056770543479567300861 y2[1] (numeric) = 1.9800842088128771676197458420794 absolute error = 0.0001805482927998867282108880067 relative error = 0.009117381509317632520901135977752 % h = 0.0001 y1[1] (analytic) = 0.8023108349540927243408264502072 y1[1] (numeric) = 0.80231528651692833587648730756122 absolute error = 4.45156283561153566085735402e-06 relative error = 0.00055484266716480886283274656670944 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5512.3MB, alloc=4.5MB, time=502.35 memory used=5516.1MB, alloc=4.5MB, time=502.63 NO POLE NO POLE x[1] = 0.1991 y2[1] (analytic) = 1.9802449832878816303705998713523 y2[1] (numeric) = 1.9800638838755208560557084761476 absolute error = 0.0001810994123607743148913952047 relative error = 0.0091453034290781317069710612884044 % h = 0.0001 y1[1] (analytic) = 0.80221280946699135850065910285933 y1[1] (numeric) = 0.80221727911220284023141862104788 absolute error = 4.46964521148173075951818855e-06 relative error = 0.00055716452775809773466941314543083 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5519.9MB, alloc=4.5MB, time=502.91 NO POLE NO POLE x[1] = 0.1992 y2[1] (analytic) = 1.9802251996676363816831349002554 y2[1] (numeric) = 1.9800435480085851544978351447919 absolute error = 0.0001816516590512271852997554635 relative error = 0.0091732828711459605790663298326347 % h = 0.0001 y1[1] (analytic) = 0.80211478595776189634235158327921 y1[1] (numeric) = 0.80211927374051755101829784145049 absolute error = 4.48778275565467594625817128e-06 relative error = 0.00055949383233174753259274844417301 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5523.7MB, alloc=4.5MB, time=503.18 memory used=5527.5MB, alloc=4.5MB, time=503.45 NO POLE NO POLE x[1] = 0.1993 y2[1] (analytic) = 1.9802054062451391444878494401679 y2[1] (numeric) = 1.9800232012110898278546480890061 absolute error = 0.0001822050340493166332013511618 relative error = 0.0092013198971521541399065397338663 % h = 0.0001 y1[1] (analytic) = 0.80201676442738457295738165047327 y1[1] (numeric) = 0.80202127040296547518804378975548 absolute error = 4.50597558090223066213928221e-06 relative error = 0.00056183059765831196037111769985622 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5531.3MB, alloc=4.5MB, time=503.73 NO POLE NO POLE x[1] = 0.1994 y2[1] (analytic) = 1.9801856030205878530095509178552 y2[1] (numeric) = 1.9800028434820546608231909210271 absolute error = 0.0001827595385331921863599968281 relative error = 0.0092294145687358604664566592844229 % h = 0.0001 y1[1] (analytic) = 0.80191874487683960364870569220501 y1[1] (numeric) = 0.80192326910063971771409509034204 absolute error = 4.52422380011406538939813703e-06 relative error = 0.00056417484053311478073916376725889 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5535.2MB, alloc=4.5MB, time=504.00 NO POLE NO POLE memory used=5539.0MB, alloc=4.5MB, time=504.27 x[1] = 0.1995 y2[1] (analytic) = 1.9801657899941805394935872212292 y2[1] (numeric) = 1.979982474820499457898830777356 absolute error = 0.0001833151736810815947564438732 relative error = 0.0092575669475443435071570920977424 % h = 0.0001 y1[1] (analytic) = 0.80182072730710718392095657197357 y1[1] (numeric) = 0.80182526983463348159043082873572 absolute error = 4.54252752629766947425676215e-06 relative error = 0.0005665265777742642034608381364261 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5542.8MB, alloc=4.5MB, time=504.55 NO POLE NO POLE x[1] = 0.1996 y2[1] (analytic) = 1.9801459671661153342038663768962 y2[1] (numeric) = 1.9799620952254440433850602737964 absolute error = 0.0001838719406712908188061030998 relative error = 0.0092857770952329858797187727674736 % h = 0.0001 y1[1] (analytic) = 0.80172271171916748947064167397563 y1[1] (numeric) = 0.80172727260604006782959022915659 absolute error = 4.56088687257835894855518096e-06 relative error = 0.0005688858262226672825481810929676 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5546.6MB, alloc=4.5MB, time=504.83 NO POLE NO POLE x[1] = 0.1997 y2[1] (analytic) = 1.9801261345365904654208752475195 y2[1] (numeric) = 1.9799417046959082614032992624114 absolute error = 0.0001844298406822040175759851081 relative error = 0.0093140450734652916694834955226184 % h = 0.0001 y1[1] (analytic) = 0.80162469811400067617634114614844 y1[1] (numeric) = 0.8016292774159528754606913518818 absolute error = 4.57930195219928435020573336e-06 relative error = 0.00057125260274204432264197215501591 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5550.4MB, alloc=4.5MB, time=505.10 memory used=5554.2MB, alloc=4.5MB, time=505.38 NO POLE NO POLE x[1] = 0.1998 y2[1] (analytic) = 1.9801062921058042594396972490164 y2[1] (numeric) = 1.9799213032309119759026963903011 absolute error = 0.0001849888748922835370008587153 relative error = 0.009342370943912889228349678372375 % h = 0.0001 y1[1] (analytic) = 0.80152668649258688008890634139222 y1[1] (numeric) = 0.80153128426546540152744881044237 absolute error = 4.59777287852143854246905015e-06 relative error = 0.00057362692421894329456037628356544 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5558.1MB, alloc=4.5MB, time=505.65 NO POLE NO POLE x[1] = 0.1999 y2[1] (analytic) = 1.9800864398739551405680290876088 y2[1] (numeric) = 1.979900890829475070669930460103 absolute error = 0.0001855490444800698980986275058 relative error = 0.0093707547682555339742637652338013 % h = 0.0001 y1[1] (analytic) = 0.8014286768559062174216584570698 y1[1] (numeric) = 0.80143329315567124108619050867402 absolute error = 4.61629976502366453205160422e-06 relative error = 0.00057600880756275426002171582908103 % h = 0.0001 TOP MAIN SOLVE Loop memory used=5561.9MB, alloc=4.5MB, time=505.93 memory used=5565.7MB, alloc=4.5MB, time=506.20 NO POLE NO POLE x[1] = 0.2 y2[1] (analytic) = 1.9800665778412416311241965167482 y2[1] (numeric) = 1.979880467490617449339011592117 absolute error = 0.0001861103506241817851849246312 relative error = 0.0093991966081811111912774687065938 % h = 0.0001 y1[1] (analytic) = 0.80133066920493878454058737288161 y1[1] (numeric) = 0.80133530408766408720387339764184 absolute error = 4.63488272530266328602476023e-06 relative error = 0.00057839826970572380554750257206461 % h = 0.0001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y2 , x , 3 ) = m1 * cos(x) ; diff ( y1 , x , 1 ) = m1 * y2 + 1.0; Iterations = 1000 Total Elapsed Time = 8 Minutes 26 Seconds Elapsed Time(since restart) = 8 Minutes 26 Seconds Expected Time Remaining = 6 Hours 44 Minutes 32 Seconds Optimized Time Remaining = 6 Hours 44 Minutes 30 Seconds Time to Timeout = 6 Minutes 33 Seconds Percent Done = 2.043 % > quit memory used=5567.0MB, alloc=4.5MB, time=506.29