|\^/| 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 > DEBUGL, > glob_iolevel, > glob_max_terms, > ALWAYS, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_log10abserr, > glob_curr_iter_when_opt, > glob_warned, > glob_clock_start_sec, > sec_in_min, > glob_max_opt_iter, > glob_small_float, > glob_optimal_clock_start_sec, > glob_relerr, > glob_large_float, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_normmax, > glob_max_trunc_err, > glob_max_iter, > glob_max_hours, > glob_log10_relerr, > glob_hmin_init, > glob_current_iter, > glob_unchanged_h_cnt, > hours_in_day, > glob_log10relerr, > MAX_UNCHANGED, > glob_start, > glob_last_good_h, > glob_disp_incr, > glob_almost_1, > glob_subiter_method, > glob_percent_done, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_warned2, > glob_smallish_float, > glob_abserr, > centuries_in_millinium, > glob_max_minutes, > glob_orig_start_sec, > glob_max_sec, > glob_log10_abserr, > glob_clock_sec, > glob_display_flag, > glob_optimal_expect_sec, > glob_dump_analytic, > glob_hmax, > years_in_century, > djd_debug2, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > min_in_hour, > glob_log10normmin, > glob_iter, > glob_optimal_start, > glob_no_eqs, > glob_look_poles, > glob_h, > djd_debug, > glob_dump, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_last_rel_error, > array_x, > array_y1_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y2_init, > array_norms, > array_m1, > array_1st_rel_error, > array_y2, > array_y1, > array_pole, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_y2_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_real_pole, > 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 DEBUGL, glob_iolevel, glob_max_terms, ALWAYS, DEBUGMASSIVE, INFO, glob_log10abserr, glob_curr_iter_when_opt, glob_warned, glob_clock_start_sec, sec_in_min, glob_max_opt_iter, glob_small_float, glob_optimal_clock_start_sec, glob_relerr, glob_large_float, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_normmax, glob_max_trunc_err, glob_max_iter, glob_max_hours, glob_log10_relerr, glob_hmin_init, glob_current_iter, glob_unchanged_h_cnt, hours_in_day, glob_log10relerr, MAX_UNCHANGED, glob_start, glob_last_good_h, glob_disp_incr, glob_almost_1, glob_subiter_method, glob_percent_done, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_warned2, glob_smallish_float, glob_abserr, centuries_in_millinium, glob_max_minutes, glob_orig_start_sec, glob_max_sec, glob_log10_abserr, glob_clock_sec, glob_display_flag, glob_optimal_expect_sec, glob_dump_analytic, glob_hmax, years_in_century, djd_debug2, glob_max_rel_trunc_err, glob_reached_optimal_h, min_in_hour, glob_log10normmin, glob_iter, glob_optimal_start, glob_no_eqs, glob_look_poles, glob_h, djd_debug, glob_dump, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_last_rel_error, array_x, array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y2_init, array_norms, array_m1, array_1st_rel_error, array_y2, array_y1, array_pole, array_y1_set_initial, array_y1_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_y2_higher_work2, array_complex_pole, array_y2_set_initial, array_real_pole, 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 > DEBUGL, > glob_iolevel, > glob_max_terms, > ALWAYS, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_log10abserr, > glob_curr_iter_when_opt, > glob_warned, > glob_clock_start_sec, > sec_in_min, > glob_max_opt_iter, > glob_small_float, > glob_optimal_clock_start_sec, > glob_relerr, > glob_large_float, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_normmax, > glob_max_trunc_err, > glob_max_iter, > glob_max_hours, > glob_log10_relerr, > glob_hmin_init, > glob_current_iter, > glob_unchanged_h_cnt, > hours_in_day, > glob_log10relerr, > MAX_UNCHANGED, > glob_start, > glob_last_good_h, > glob_disp_incr, > glob_almost_1, > glob_subiter_method, > glob_percent_done, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_warned2, > glob_smallish_float, > glob_abserr, > centuries_in_millinium, > glob_max_minutes, > glob_orig_start_sec, > glob_max_sec, > glob_log10_abserr, > glob_clock_sec, > glob_display_flag, > glob_optimal_expect_sec, > glob_dump_analytic, > glob_hmax, > years_in_century, > djd_debug2, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > min_in_hour, > glob_log10normmin, > glob_iter, > glob_optimal_start, > glob_no_eqs, > glob_look_poles, > glob_h, > djd_debug, > glob_dump, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_last_rel_error, > array_x, > array_y1_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y2_init, > array_norms, > array_m1, > array_1st_rel_error, > array_y2, > array_y1, > array_pole, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_y2_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_real_pole, > 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 DEBUGL, glob_iolevel, glob_max_terms, ALWAYS, DEBUGMASSIVE, INFO, glob_log10abserr, glob_curr_iter_when_opt, glob_warned, glob_clock_start_sec, sec_in_min, glob_max_opt_iter, glob_small_float, glob_optimal_clock_start_sec, glob_relerr, glob_large_float, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_normmax, glob_max_trunc_err, glob_max_iter, glob_max_hours, glob_log10_relerr, glob_hmin_init, glob_current_iter, glob_unchanged_h_cnt, hours_in_day, glob_log10relerr, MAX_UNCHANGED, glob_start, glob_last_good_h, glob_disp_incr, glob_almost_1, glob_subiter_method, glob_percent_done, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_warned2, glob_smallish_float, glob_abserr, centuries_in_millinium, glob_max_minutes, glob_orig_start_sec, glob_max_sec, glob_log10_abserr, glob_clock_sec, glob_display_flag, glob_optimal_expect_sec, glob_dump_analytic, glob_hmax, years_in_century, djd_debug2, glob_max_rel_trunc_err, glob_reached_optimal_h, min_in_hour, glob_log10normmin, glob_iter, glob_optimal_start, glob_no_eqs, glob_look_poles, glob_h, djd_debug, glob_dump, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_last_rel_error, array_x, array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y2_init, array_norms, array_m1, array_1st_rel_error, array_y2, array_y1, array_pole, array_y1_set_initial, array_y1_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_y2_higher_work2, array_complex_pole, array_y2_set_initial, array_real_pole, 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 > DEBUGL, > glob_iolevel, > glob_max_terms, > ALWAYS, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_log10abserr, > glob_curr_iter_when_opt, > glob_warned, > glob_clock_start_sec, > sec_in_min, > glob_max_opt_iter, > glob_small_float, > glob_optimal_clock_start_sec, > glob_relerr, > glob_large_float, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_normmax, > glob_max_trunc_err, > glob_max_iter, > glob_max_hours, > glob_log10_relerr, > glob_hmin_init, > glob_current_iter, > glob_unchanged_h_cnt, > hours_in_day, > glob_log10relerr, > MAX_UNCHANGED, > glob_start, > glob_last_good_h, > glob_disp_incr, > glob_almost_1, > glob_subiter_method, > glob_percent_done, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_warned2, > glob_smallish_float, > glob_abserr, > centuries_in_millinium, > glob_max_minutes, > glob_orig_start_sec, > glob_max_sec, > glob_log10_abserr, > glob_clock_sec, > glob_display_flag, > glob_optimal_expect_sec, > glob_dump_analytic, > glob_hmax, > years_in_century, > djd_debug2, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > min_in_hour, > glob_log10normmin, > glob_iter, > glob_optimal_start, > glob_no_eqs, > glob_look_poles, > glob_h, > djd_debug, > glob_dump, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_last_rel_error, > array_x, > array_y1_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y2_init, > array_norms, > array_m1, > array_1st_rel_error, > array_y2, > array_y1, > array_pole, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_y2_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_real_pole, > 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 DEBUGL, glob_iolevel, glob_max_terms, ALWAYS, DEBUGMASSIVE, INFO, glob_log10abserr, glob_curr_iter_when_opt, glob_warned, glob_clock_start_sec, sec_in_min, glob_max_opt_iter, glob_small_float, glob_optimal_clock_start_sec, glob_relerr, glob_large_float, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_normmax, glob_max_trunc_err, glob_max_iter, glob_max_hours, glob_log10_relerr, glob_hmin_init, glob_current_iter, glob_unchanged_h_cnt, hours_in_day, glob_log10relerr, MAX_UNCHANGED, glob_start, glob_last_good_h, glob_disp_incr, glob_almost_1, glob_subiter_method, glob_percent_done, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_warned2, glob_smallish_float, glob_abserr, centuries_in_millinium, glob_max_minutes, glob_orig_start_sec, glob_max_sec, glob_log10_abserr, glob_clock_sec, glob_display_flag, glob_optimal_expect_sec, glob_dump_analytic, glob_hmax, years_in_century, djd_debug2, glob_max_rel_trunc_err, glob_reached_optimal_h, min_in_hour, glob_log10normmin, glob_iter, glob_optimal_start, glob_no_eqs, glob_look_poles, glob_h, djd_debug, glob_dump, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_last_rel_error, array_x, array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y2_init, array_norms, array_m1, array_1st_rel_error, array_y2, array_y1, array_pole, array_y1_set_initial, array_y1_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_y2_higher_work2, array_complex_pole, array_y2_set_initial, array_real_pole, 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 > DEBUGL, > glob_iolevel, > glob_max_terms, > ALWAYS, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_log10abserr, > glob_curr_iter_when_opt, > glob_warned, > glob_clock_start_sec, > sec_in_min, > glob_max_opt_iter, > glob_small_float, > glob_optimal_clock_start_sec, > glob_relerr, > glob_large_float, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_normmax, > glob_max_trunc_err, > glob_max_iter, > glob_max_hours, > glob_log10_relerr, > glob_hmin_init, > glob_current_iter, > glob_unchanged_h_cnt, > hours_in_day, > glob_log10relerr, > MAX_UNCHANGED, > glob_start, > glob_last_good_h, > glob_disp_incr, > glob_almost_1, > glob_subiter_method, > glob_percent_done, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_warned2, > glob_smallish_float, > glob_abserr, > centuries_in_millinium, > glob_max_minutes, > glob_orig_start_sec, > glob_max_sec, > glob_log10_abserr, > glob_clock_sec, > glob_display_flag, > glob_optimal_expect_sec, > glob_dump_analytic, > glob_hmax, > years_in_century, > djd_debug2, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > min_in_hour, > glob_log10normmin, > glob_iter, > glob_optimal_start, > glob_no_eqs, > glob_look_poles, > glob_h, > djd_debug, > glob_dump, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_last_rel_error, > array_x, > array_y1_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y2_init, > array_norms, > array_m1, > array_1st_rel_error, > array_y2, > array_y1, > array_pole, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_y2_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_real_pole, > 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 - 5 - 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 - 5 - 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 DEBUGL, glob_iolevel, glob_max_terms, ALWAYS, DEBUGMASSIVE, INFO, glob_log10abserr, glob_curr_iter_when_opt, glob_warned, glob_clock_start_sec, sec_in_min, glob_max_opt_iter, glob_small_float, glob_optimal_clock_start_sec, glob_relerr, glob_large_float, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_normmax, glob_max_trunc_err, glob_max_iter, glob_max_hours, glob_log10_relerr, glob_hmin_init, glob_current_iter, glob_unchanged_h_cnt, hours_in_day, glob_log10relerr, MAX_UNCHANGED, glob_start, glob_last_good_h, glob_disp_incr, glob_almost_1, glob_subiter_method, glob_percent_done, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_warned2, glob_smallish_float, glob_abserr, centuries_in_millinium, glob_max_minutes, glob_orig_start_sec, glob_max_sec, glob_log10_abserr, glob_clock_sec, glob_display_flag, glob_optimal_expect_sec, glob_dump_analytic, glob_hmax, years_in_century, djd_debug2, glob_max_rel_trunc_err, glob_reached_optimal_h, min_in_hour, glob_log10normmin, glob_iter, glob_optimal_start, glob_no_eqs, glob_look_poles, glob_h, djd_debug, glob_dump, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_last_rel_error, array_x, array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y2_init, array_norms, array_m1, array_1st_rel_error, array_y2, array_y1, array_pole, array_y1_set_initial, array_y1_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_y2_higher_work2, array_complex_pole, array_y2_set_initial, array_real_pole, array_y1_higher_work, glob_last; n := glob_max_terms; m := n - 6; 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 - 6; 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 > DEBUGL, > glob_iolevel, > glob_max_terms, > ALWAYS, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_log10abserr, > glob_curr_iter_when_opt, > glob_warned, > glob_clock_start_sec, > sec_in_min, > glob_max_opt_iter, > glob_small_float, > glob_optimal_clock_start_sec, > glob_relerr, > glob_large_float, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_normmax, > glob_max_trunc_err, > glob_max_iter, > glob_max_hours, > glob_log10_relerr, > glob_hmin_init, > glob_current_iter, > glob_unchanged_h_cnt, > hours_in_day, > glob_log10relerr, > MAX_UNCHANGED, > glob_start, > glob_last_good_h, > glob_disp_incr, > glob_almost_1, > glob_subiter_method, > glob_percent_done, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_warned2, > glob_smallish_float, > glob_abserr, > centuries_in_millinium, > glob_max_minutes, > glob_orig_start_sec, > glob_max_sec, > glob_log10_abserr, > glob_clock_sec, > glob_display_flag, > glob_optimal_expect_sec, > glob_dump_analytic, > glob_hmax, > years_in_century, > djd_debug2, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > min_in_hour, > glob_log10normmin, > glob_iter, > glob_optimal_start, > glob_no_eqs, > glob_look_poles, > glob_h, > djd_debug, > glob_dump, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_last_rel_error, > array_x, > array_y1_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y2_init, > array_norms, > array_m1, > array_1st_rel_error, > array_y2, > array_y1, > array_pole, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_y2_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_real_pole, > 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 DEBUGL, glob_iolevel, glob_max_terms, ALWAYS, DEBUGMASSIVE, INFO, glob_log10abserr, glob_curr_iter_when_opt, glob_warned, glob_clock_start_sec, sec_in_min, glob_max_opt_iter, glob_small_float, glob_optimal_clock_start_sec, glob_relerr, glob_large_float, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_normmax, glob_max_trunc_err, glob_max_iter, glob_max_hours, glob_log10_relerr, glob_hmin_init, glob_current_iter, glob_unchanged_h_cnt, hours_in_day, glob_log10relerr, MAX_UNCHANGED, glob_start, glob_last_good_h, glob_disp_incr, glob_almost_1, glob_subiter_method, glob_percent_done, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_warned2, glob_smallish_float, glob_abserr, centuries_in_millinium, glob_max_minutes, glob_orig_start_sec, glob_max_sec, glob_log10_abserr, glob_clock_sec, glob_display_flag, glob_optimal_expect_sec, glob_dump_analytic, glob_hmax, years_in_century, djd_debug2, glob_max_rel_trunc_err, glob_reached_optimal_h, min_in_hour, glob_log10normmin, glob_iter, glob_optimal_start, glob_no_eqs, glob_look_poles, glob_h, djd_debug, glob_dump, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_last_rel_error, array_x, array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y2_init, array_norms, array_m1, array_1st_rel_error, array_y2, array_y1, array_pole, array_y1_set_initial, array_y1_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_y2_higher_work2, array_complex_pole, array_y2_set_initial, array_real_pole, 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 > DEBUGL, > glob_iolevel, > glob_max_terms, > ALWAYS, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_log10abserr, > glob_curr_iter_when_opt, > glob_warned, > glob_clock_start_sec, > sec_in_min, > glob_max_opt_iter, > glob_small_float, > glob_optimal_clock_start_sec, > glob_relerr, > glob_large_float, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_normmax, > glob_max_trunc_err, > glob_max_iter, > glob_max_hours, > glob_log10_relerr, > glob_hmin_init, > glob_current_iter, > glob_unchanged_h_cnt, > hours_in_day, > glob_log10relerr, > MAX_UNCHANGED, > glob_start, > glob_last_good_h, > glob_disp_incr, > glob_almost_1, > glob_subiter_method, > glob_percent_done, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_warned2, > glob_smallish_float, > glob_abserr, > centuries_in_millinium, > glob_max_minutes, > glob_orig_start_sec, > glob_max_sec, > glob_log10_abserr, > glob_clock_sec, > glob_display_flag, > glob_optimal_expect_sec, > glob_dump_analytic, > glob_hmax, > years_in_century, > djd_debug2, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > min_in_hour, > glob_log10normmin, > glob_iter, > glob_optimal_start, > glob_no_eqs, > glob_look_poles, > glob_h, > djd_debug, > glob_dump, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_last_rel_error, > array_x, > array_y1_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y2_init, > array_norms, > array_m1, > array_1st_rel_error, > array_y2, > array_y1, > array_pole, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_y2_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_real_pole, > array_y1_higher_work, > glob_last; > > local kkk, order_d, adj2, temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre add $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D0[1] + array_y1[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if not array_y2_set_initial[1,6] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[1] * (glob_h ^ (5)) * factorial_3(0,5); > 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 > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,2] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > # emit pre mult $eq_no = 2 i = 1 > array_tmp3[1] := (array_m1[1] * (array_y2[1])); > #emit pre add $eq_no = 2 i = 1 > array_tmp4[1] := array_tmp3[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_tmp4[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 add $eq_no = 1 i = 2 > array_tmp1[2] := array_const_0D0[2] + array_y1[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if not array_y2_set_initial[1,7] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[2] * (glob_h ^ (5)) * factorial_3(1,6); > 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 > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,3] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,2] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > # emit pre mult $eq_no = 2 i = 2 > array_tmp3[2] := ats(2,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 2 > array_tmp4[2] := array_tmp3[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_tmp4[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 add $eq_no = 1 i = 3 > array_tmp1[3] := array_const_0D0[3] + array_y1[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if not array_y2_set_initial[1,8] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[3] * (glob_h ^ (5)) * factorial_3(2,7); > 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 > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,4] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,3] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > # emit pre mult $eq_no = 2 i = 3 > array_tmp3[3] := ats(3,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 3 > array_tmp4[3] := array_tmp3[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_tmp4[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 add $eq_no = 1 i = 4 > array_tmp1[4] := array_const_0D0[4] + array_y1[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if not array_y2_set_initial[1,9] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[4] * (glob_h ^ (5)) * factorial_3(3,8); > array_y2[9] := temporary; > array_y2_higher[1,9] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,8] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,7] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,6] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,5] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,4] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > # emit pre mult $eq_no = 2 i = 4 > array_tmp3[4] := ats(4,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 4 > array_tmp4[4] := array_tmp3[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_tmp4[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 add $eq_no = 1 i = 5 > array_tmp1[5] := array_const_0D0[5] + array_y1[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if not array_y2_set_initial[1,10] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp1[5] * (glob_h ^ (5)) * factorial_3(4,9); > array_y2[10] := temporary; > array_y2_higher[1,10] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,9] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,8] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,7] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,6] := temporary > ; > temporary := temporary / glob_h * (6.0); > array_y2_higher[6,5] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > # emit pre mult $eq_no = 2 i = 5 > array_tmp3[5] := ats(5,array_m1,array_y2,1); > #emit pre add $eq_no = 2 i = 5 > array_tmp4[5] := array_tmp3[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_tmp4[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 add $eq_no = 1 > array_tmp1[kkk] := array_const_0D0[kkk] + array_y1[kkk]; > #emit assign $eq_no = 1 > order_d := 5; > 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_tmp1[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_tmp3[kkk] := ats(kkk,array_m1,array_y2,1); > #emit add $eq_no = 2 > array_tmp4[kkk] := array_tmp3[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_tmp4[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 DEBUGL, glob_iolevel, glob_max_terms, ALWAYS, DEBUGMASSIVE, INFO, glob_log10abserr, glob_curr_iter_when_opt, glob_warned, glob_clock_start_sec, sec_in_min, glob_max_opt_iter, glob_small_float, glob_optimal_clock_start_sec, glob_relerr, glob_large_float, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_normmax, glob_max_trunc_err, glob_max_iter, glob_max_hours, glob_log10_relerr, glob_hmin_init, glob_current_iter, glob_unchanged_h_cnt, hours_in_day, glob_log10relerr, MAX_UNCHANGED, glob_start, glob_last_good_h, glob_disp_incr, glob_almost_1, glob_subiter_method, glob_percent_done, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_warned2, glob_smallish_float, glob_abserr, centuries_in_millinium, glob_max_minutes, glob_orig_start_sec, glob_max_sec, glob_log10_abserr, glob_clock_sec, glob_display_flag, glob_optimal_expect_sec, glob_dump_analytic, glob_hmax, years_in_century, djd_debug2, glob_max_rel_trunc_err, glob_reached_optimal_h, min_in_hour, glob_log10normmin, glob_iter, glob_optimal_start, glob_no_eqs, glob_look_poles, glob_h, djd_debug, glob_dump, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_last_rel_error, array_x, array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y2_init, array_norms, array_m1, array_1st_rel_error, array_y2, array_y1, array_pole, array_y1_set_initial, array_y1_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_y2_higher_work2, array_complex_pole, array_y2_set_initial, array_real_pole, array_y1_higher_work, glob_last; array_tmp1[1] := array_const_0D0[1] + array_y1[1]; if not array_y2_set_initial[1, 6] then if 1 <= glob_max_terms then temporary := array_tmp1[1]*glob_h^5*factorial_3(0, 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; temporary := temporary*5.0/glob_h; array_y2_higher[5, 2] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 1] := temporary end if end if; kkk := 2; array_tmp3[1] := array_m1[1]*array_y2[1]; array_tmp4[1] := array_tmp3[1] + array_const_1D0[1]; if not array_y1_set_initial[2, 2] then if 1 <= glob_max_terms then temporary := array_tmp4[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[2] := array_const_0D0[2] + array_y1[2]; if not array_y2_set_initial[1, 7] then if 2 <= glob_max_terms then temporary := array_tmp1[2]*glob_h^5*factorial_3(1, 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; temporary := temporary*5.0/glob_h; array_y2_higher[5, 3] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 2] := temporary end if end if; kkk := 3; array_tmp3[2] := ats(2, array_m1, array_y2, 1); array_tmp4[2] := array_tmp3[2] + array_const_1D0[2]; if not array_y1_set_initial[2, 3] then if 2 <= glob_max_terms then temporary := array_tmp4[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[3] := array_const_0D0[3] + array_y1[3]; if not array_y2_set_initial[1, 8] then if 3 <= glob_max_terms then temporary := array_tmp1[3]*glob_h^5*factorial_3(2, 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; temporary := temporary*5.0/glob_h; array_y2_higher[5, 4] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 3] := temporary end if end if; kkk := 4; array_tmp3[3] := ats(3, array_m1, array_y2, 1); array_tmp4[3] := array_tmp3[3] + array_const_1D0[3]; if not array_y1_set_initial[2, 4] then if 3 <= glob_max_terms then temporary := array_tmp4[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[4] := array_const_0D0[4] + array_y1[4]; if not array_y2_set_initial[1, 9] then if 4 <= glob_max_terms then temporary := array_tmp1[4]*glob_h^5*factorial_3(3, 8); array_y2[9] := temporary; array_y2_higher[1, 9] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 8] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 7] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 6] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 5] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 4] := temporary end if end if; kkk := 5; array_tmp3[4] := ats(4, array_m1, array_y2, 1); array_tmp4[4] := array_tmp3[4] + array_const_1D0[4]; if not array_y1_set_initial[2, 5] then if 4 <= glob_max_terms then temporary := array_tmp4[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[5] := array_const_0D0[5] + array_y1[5]; if not array_y2_set_initial[1, 10] then if 5 <= glob_max_terms then temporary := array_tmp1[5]*glob_h^5*factorial_3(4, 9); array_y2[10] := temporary; array_y2_higher[1, 10] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 9] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 8] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 7] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 6] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[6, 5] := temporary end if end if; kkk := 6; array_tmp3[5] := ats(5, array_m1, array_y2, 1); array_tmp4[5] := array_tmp3[5] + array_const_1D0[5]; if not array_y1_set_initial[2, 6] then if 5 <= glob_max_terms then temporary := array_tmp4[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[kkk] := array_const_0D0[kkk] + array_y1[kkk]; order_d := 5; if kkk + order_d + 1 <= glob_max_terms then if not array_y2_set_initial[1, kkk + order_d] then temporary := array_tmp1[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_tmp3[kkk] := ats(kkk, array_m1, array_y2, 1); array_tmp4[kkk] := array_tmp3[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_tmp4[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_y1 := proc(x) > 1.0 + cos(x); > end; exact_soln_y1 := proc(x) 1.0 + cos(x) end proc > exact_soln_y2 := proc(x) > 1.0 + sin(x); > end; exact_soln_y2 := proc(x) 1.0 + sin(x) end proc > exact_soln_y2p := proc(x) > cos(x); > end; exact_soln_y2p := proc(x) cos(x) end proc > exact_soln_y2pp := proc(x) > -sin(x); > end; exact_soln_y2pp := proc(x) -sin(x) end proc > exact_soln_y2ppp := proc(x) > -cos(x); > end; exact_soln_y2ppp := proc(x) -cos(x) end proc > exact_soln_y2pppp := proc(x) > sin(x); > end; exact_soln_y2pppp := proc(x) 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 > DEBUGL, > glob_iolevel, > glob_max_terms, > ALWAYS, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_log10abserr, > glob_curr_iter_when_opt, > glob_warned, > glob_clock_start_sec, > sec_in_min, > glob_max_opt_iter, > glob_small_float, > glob_optimal_clock_start_sec, > glob_relerr, > glob_large_float, > glob_optimal_done, > glob_not_yet_start_msg, > glob_initial_pass, > glob_normmax, > glob_max_trunc_err, > glob_max_iter, > glob_max_hours, > glob_log10_relerr, > glob_hmin_init, > glob_current_iter, > glob_unchanged_h_cnt, > hours_in_day, > glob_log10relerr, > MAX_UNCHANGED, > glob_start, > glob_last_good_h, > glob_disp_incr, > glob_almost_1, > glob_subiter_method, > glob_percent_done, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_warned2, > glob_smallish_float, > glob_abserr, > centuries_in_millinium, > glob_max_minutes, > glob_orig_start_sec, > glob_max_sec, > glob_log10_abserr, > glob_clock_sec, > glob_display_flag, > glob_optimal_expect_sec, > glob_dump_analytic, > glob_hmax, > years_in_century, > djd_debug2, > glob_max_rel_trunc_err, > glob_reached_optimal_h, > min_in_hour, > glob_log10normmin, > glob_iter, > glob_optimal_start, > glob_no_eqs, > glob_look_poles, > glob_h, > djd_debug, > glob_dump, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_5, > #END CONST > array_last_rel_error, > array_x, > array_y1_init, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_type_pole, > array_y2_init, > array_norms, > array_m1, > array_1st_rel_error, > array_y2, > array_y1, > array_pole, > array_y1_set_initial, > array_y1_higher_work2, > array_y2_higher, > array_y2_higher_work, > array_poles, > array_y1_higher, > array_y2_higher_work2, > array_complex_pole, > array_y2_set_initial, > array_real_pole, > array_y1_higher_work, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > DEBUGL := 3; > glob_iolevel := 5; > glob_max_terms := 30; > ALWAYS := 1; > DEBUGMASSIVE := 4; > INFO := 2; > glob_log10abserr := 0.0; > glob_curr_iter_when_opt := 0; > glob_warned := false; > glob_clock_start_sec := 0.0; > sec_in_min := 60.0; > glob_max_opt_iter := 10; > glob_small_float := 0.1e-50; > glob_optimal_clock_start_sec := 0.0; > glob_relerr := 0.1e-10; > glob_large_float := 9.0e100; > glob_optimal_done := false; > glob_not_yet_start_msg := true; > glob_initial_pass := true; > glob_normmax := 0.0; > glob_max_trunc_err := 0.1e-10; > glob_max_iter := 1000; > glob_max_hours := 0.0; > glob_log10_relerr := 0.1e-10; > glob_hmin_init := 0.001; > glob_current_iter := 0; > glob_unchanged_h_cnt := 0; > hours_in_day := 24.0; > glob_log10relerr := 0.0; > MAX_UNCHANGED := 10; > glob_start := 0; > glob_last_good_h := 0.1; > glob_disp_incr := 0.1; > glob_almost_1 := 0.9990; > glob_subiter_method := 3; > glob_percent_done := 0.0; > glob_hmin := 0.00000000001; > glob_not_yet_finished := true; > days_in_year := 365.0; > glob_html_log := true; > glob_warned2 := false; > glob_smallish_float := 0.1e-100; > glob_abserr := 0.1e-10; > centuries_in_millinium := 10.0; > glob_max_minutes := 0.0; > glob_orig_start_sec := 0.0; > glob_max_sec := 10000.0; > glob_log10_abserr := 0.1e-10; > glob_clock_sec := 0.0; > glob_display_flag := true; > glob_optimal_expect_sec := 0.1; > glob_dump_analytic := false; > glob_hmax := 1.0; > years_in_century := 100.0; > djd_debug2 := true; > glob_max_rel_trunc_err := 0.1e-10; > glob_reached_optimal_h := false; > min_in_hour := 60.0; > glob_log10normmin := 0.1; > glob_iter := 0; > glob_optimal_start := 0.0; > glob_no_eqs := 0; > glob_look_poles := false; > glob_h := 0.1; > djd_debug := true; > glob_dump := false; > #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/mtest7postode.ode#################"); > omniout_str(ALWAYS,"diff ( y2 , x , 5 ) = y1 ;"); > 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 := 0.0;"); > omniout_str(ALWAYS,"x_end := 5.0;"); > 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,"array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);"); > omniout_str(ALWAYS,"array_y2_init[4 + 1] := exact_soln_y2pppp(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.00001;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > 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 := 0.001 ;"); > 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_y1 := proc(x)"); > omniout_str(ALWAYS,"1.0 + cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2 := proc(x)"); > omniout_str(ALWAYS,"1.0 + sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2p := proc(x)"); > omniout_str(ALWAYS,"cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2pp := proc(x)"); > omniout_str(ALWAYS,"-sin(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2ppp := proc(x)"); > omniout_str(ALWAYS,"-cos(x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2pppp := proc(x)"); > omniout_str(ALWAYS,"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_x:= Array(1..(max_terms + 1),[]); > array_y1_init:= 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_type_pole:= Array(1..(max_terms + 1),[]); > array_y2_init:= Array(1..(max_terms + 1),[]); > array_norms:= Array(1..(max_terms + 1),[]); > array_m1:= Array(1..(max_terms + 1),[]); > array_1st_rel_error:= Array(1..(max_terms + 1),[]); > array_y2:= Array(1..(max_terms + 1),[]); > array_y1:= Array(1..(max_terms + 1),[]); > array_pole:= Array(1..(max_terms + 1),[]); > array_y1_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher := Array(1..(6+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher_work := Array(1..(6+ 1) ,(1..max_terms+ 1),[]); > array_poles := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_y1_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher_work2 := Array(1..(6+ 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_real_pole := Array(1..(2+ 1) ,(1..3+ 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_x[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_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_type_pole[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_norms[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_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_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 > ; > term := 1; > while term <= max_terms do # do number 2 > array_pole[term] := 0.0; > term := term + 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_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 <=6 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 <=6 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 <= 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 <=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 <=6 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 <=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 <=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 <= 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_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_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_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_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_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_5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_5[1] := 5; > 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 := 0.0; > x_end := 5.0; > 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); > array_y2_init[3 + 1] := exact_soln_y2ppp(x_start); > array_y2_init[4 + 1] := exact_soln_y2pppp(x_start); > glob_h := 0.00001; > glob_look_poles := true; > glob_max_iter := 20; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_h := 0.001 ; > 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] := true; > array_y2_set_initial[1,5] := true; > 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 := 5; > #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 <= 6 do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > else > subiter := 1; > while subiter <= 6 + 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 := 5; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y2 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 6; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[6,iii] := array_y2_higher[6,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 := 6; > 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 := 5; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[5,iii] := array_y2_higher[5,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 := 5; > 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 := 5; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[5,iii] := array_y2_higher[5,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 := 5; > 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 := 4; > calc_term := 3; > #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 := 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 := 4; > calc_term := 2; > #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 := 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 := 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 := 4; > #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 := 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 := 3; > calc_term := 3; > #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 := 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 := 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 := 5; > #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 := 5; > #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 := 4; > #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 := 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 := 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 := 6; > #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 := 6; > #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 := 5; > #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 := 5; > #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 , 5 ) = y1 ;"); > 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,"2012-06-15T22:44:57-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"mtest7") > ; > logitem_str(html_log_file,"diff ( y2 , x , 5 ) = y1 ;") > ; > 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,"mtest7 diffeq.mxt") > ; > logitem_str(html_log_file,"mtest7 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 DEBUGL, glob_iolevel, glob_max_terms, ALWAYS, DEBUGMASSIVE, INFO, glob_log10abserr, glob_curr_iter_when_opt, glob_warned, glob_clock_start_sec, sec_in_min, glob_max_opt_iter, glob_small_float, glob_optimal_clock_start_sec, glob_relerr, glob_large_float, glob_optimal_done, glob_not_yet_start_msg, glob_initial_pass, glob_normmax, glob_max_trunc_err, glob_max_iter, glob_max_hours, glob_log10_relerr, glob_hmin_init, glob_current_iter, glob_unchanged_h_cnt, hours_in_day, glob_log10relerr, MAX_UNCHANGED, glob_start, glob_last_good_h, glob_disp_incr, glob_almost_1, glob_subiter_method, glob_percent_done, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_warned2, glob_smallish_float, glob_abserr, centuries_in_millinium, glob_max_minutes, glob_orig_start_sec, glob_max_sec, glob_log10_abserr, glob_clock_sec, glob_display_flag, glob_optimal_expect_sec, glob_dump_analytic, glob_hmax, years_in_century, djd_debug2, glob_max_rel_trunc_err, glob_reached_optimal_h, min_in_hour, glob_log10normmin, glob_iter, glob_optimal_start, glob_no_eqs, glob_look_poles, glob_h, djd_debug, glob_dump, array_const_0D0, array_const_1D0, array_const_1, array_const_5, array_last_rel_error, array_x, array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_type_pole, array_y2_init, array_norms, array_m1, array_1st_rel_error, array_y2, array_y1, array_pole, array_y1_set_initial, array_y1_higher_work2, array_y2_higher, array_y2_higher_work, array_poles, array_y1_higher, array_y2_higher_work2, array_complex_pole, array_y2_set_initial, array_real_pole, array_y1_higher_work, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; DEBUGL := 3; glob_iolevel := 5; glob_max_terms := 30; ALWAYS := 1; DEBUGMASSIVE := 4; INFO := 2; glob_log10abserr := 0.; glob_curr_iter_when_opt := 0; glob_warned := false; glob_clock_start_sec := 0.; sec_in_min := 60.0; glob_max_opt_iter := 10; glob_small_float := 0.1*10^(-50); glob_optimal_clock_start_sec := 0.; glob_relerr := 0.1*10^(-10); glob_large_float := 0.90*10^101; glob_optimal_done := false; glob_not_yet_start_msg := true; glob_initial_pass := true; glob_normmax := 0.; glob_max_trunc_err := 0.1*10^(-10); glob_max_iter := 1000; glob_max_hours := 0.; glob_log10_relerr := 0.1*10^(-10); glob_hmin_init := 0.001; glob_current_iter := 0; glob_unchanged_h_cnt := 0; hours_in_day := 24.0; glob_log10relerr := 0.; MAX_UNCHANGED := 10; glob_start := 0; glob_last_good_h := 0.1; glob_disp_incr := 0.1; glob_almost_1 := 0.9990; glob_subiter_method := 3; glob_percent_done := 0.; glob_hmin := 0.1*10^(-10); glob_not_yet_finished := true; days_in_year := 365.0; glob_html_log := true; glob_warned2 := false; glob_smallish_float := 0.1*10^(-100); glob_abserr := 0.1*10^(-10); centuries_in_millinium := 10.0; glob_max_minutes := 0.; glob_orig_start_sec := 0.; glob_max_sec := 10000.0; glob_log10_abserr := 0.1*10^(-10); glob_clock_sec := 0.; glob_display_flag := true; glob_optimal_expect_sec := 0.1; glob_dump_analytic := false; glob_hmax := 1.0; years_in_century := 100.0; djd_debug2 := true; glob_max_rel_trunc_err := 0.1*10^(-10); glob_reached_optimal_h := false; min_in_hour := 60.0; glob_log10normmin := 0.1; glob_iter := 0; glob_optimal_start := 0.; glob_no_eqs := 0; glob_look_poles := false; glob_h := 0.1; djd_debug := true; glob_dump := false; 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/mtest7postode.ode#################"); omniout_str(ALWAYS, "diff ( y2 , x , 5 ) = y1 ;"); 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 := 0.0;"); omniout_str(ALWAYS, "x_end := 5.0;"); 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, "array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);"); omniout_str(ALWAYS, "array_y2_init[4 + 1] := exact_soln_y2pppp(x_start);"); omniout_str(ALWAYS, "glob_h := 0.00001;"); omniout_str(ALWAYS, "glob_look_poles := true;"); 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 := 0.001 ;"); 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_y1 := proc(x)"); omniout_str(ALWAYS, "1.0 +\tcos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2 := proc(x)"); omniout_str(ALWAYS, "1.0 +\tsin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2p := proc(x)"); omniout_str(ALWAYS, "cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2pp := proc(x)"); omniout_str(ALWAYS, "-sin(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2ppp := proc(x)"); omniout_str(ALWAYS, "-cos(x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2pppp := proc(x)"); omniout_str(ALWAYS, "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_x := Array(1 .. max_terms + 1, []); array_y1_init := 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_type_pole := Array(1 .. max_terms + 1, []); array_y2_init := Array(1 .. max_terms + 1, []); array_norms := Array(1 .. max_terms + 1, []); array_m1 := Array(1 .. max_terms + 1, []); array_1st_rel_error := Array(1 .. max_terms + 1, []); array_y2 := Array(1 .. max_terms + 1, []); array_y1 := Array(1 .. max_terms + 1, []); array_pole := Array(1 .. max_terms + 1, []); array_y1_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []); array_y1_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []); array_y2_higher := Array(1 .. 7, 1 .. max_terms + 1, []); array_y2_higher_work := Array(1 .. 7, 1 .. max_terms + 1, []); array_poles := Array(1 .. 3, 1 .. 4, []); array_y1_higher := Array(1 .. 3, 1 .. max_terms + 1, []); array_y2_higher_work2 := Array(1 .. 7, 1 .. max_terms + 1, []); array_complex_pole := Array(1 .. 3, 1 .. 4, []); array_y2_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []); array_real_pole := Array(1 .. 3, 1 .. 4, []); 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_x[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_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_type_pole[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_norms[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_1st_rel_error[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; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 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_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 6 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 <= 6 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 <= 3 do array_poles[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 <= 6 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 <= 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 <= 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 <= max_terms do array_y1_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 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_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_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_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_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_5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_5[term] := 0.; term := term + 1 end do; array_const_5[1] := 5; 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.; x_end := 5.0; 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); array_y2_init[4] := exact_soln_y2ppp(x_start); array_y2_init[5] := exact_soln_y2pppp(x_start); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 20; glob_h := 0.001; 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] := true; array_y2_set_initial[1, 5] := true; 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 := 5; 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 <= 6 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 6 + 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 := 5; ord := 6; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[6, iii] := array_y2_higher[6, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 6; 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 := 5; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[5, iii] := array_y2_higher[5, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 5; 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 := 5; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[5, iii] := array_y2_higher[5, iii]/( glob_h^(calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 5; 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 := 4; calc_term := 3; 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 := 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 := 4; calc_term := 2; 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 := 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 := 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 := 4; 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 := 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 := 3; calc_term := 3; 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 := 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 := 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 := 5; 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 := 5; 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 := 4; 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 := 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 := 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 := 6; 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 := 6; 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 := 5; 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 := 5; 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 , 5 ) = y1 ;"); 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, "2012-06-15T22:44:57-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "mtest7") ; logitem_str(html_log_file, "diff ( y2 , x , 5 ) = y1 ;"); 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, "mtest7 diffeq.mxt"); logitem_str(html_log_file, "mtest7 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/mtest7postode.ode################# diff ( y2 , x , 5 ) = y1 ; 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 := 0.0; x_end := 5.0; 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); array_y2_init[3 + 1] := exact_soln_y2ppp(x_start); array_y2_init[4 + 1] := exact_soln_y2pppp(x_start); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 20; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_h := 0.001 ; glob_look_poles := true; glob_max_iter := 1000; glob_max_minutes := 15; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y1 := proc(x) 1.0 + cos(x); end; exact_soln_y2 := proc(x) 1.0 + sin(x); end; exact_soln_y2p := proc(x) cos(x); end; exact_soln_y2pp := proc(x) -sin(x); end; exact_soln_y2ppp := proc(x) -cos(x); end; exact_soln_y2pppp := proc(x) sin(x); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0 y2[1] (analytic) = 1 y2[1] (numeric) = 1 absolute error = 0 relative error = 0 % h = 0.001 y1[1] (analytic) = 2 y1[1] (numeric) = 2 absolute error = 0 relative error = 0 % h = 0.001 x[1] = 0 y2[1] (analytic) = 1 y2[1] (numeric) = 1 absolute error = 0 relative error = 0 % h = 0.001 y1[1] (analytic) = 2 y1[1] (numeric) = 2 absolute error = 0 relative error = 0 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3.8MB, alloc=3.1MB, time=0.45 x[1] = 0.001 y2[1] (analytic) = 1.000999999833333341666666468254 y2[1] (numeric) = 1.0009999998333333499999998015818 absolute error = 8.3333333333278e-18 relative error = 8.3250083263889124059504671990056e-16 % h = 0.001 y1[1] (analytic) = 1.9999995000000416666652777778026 y1[1] (numeric) = 1.999999500000041666566666668254 absolute error = 9.86111095486e-20 relative error = 4.9305567100690747973406635604284e-18 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.002 y2[1] (analytic) = 1.0019999986666669333333079365093 y2[1] (numeric) = 1.0019999986666671999999746000543 absolute error = 2.666666666635450e-16 relative error = 2.6613439822194689952770768378535e-14 % h = 0.001 y1[1] (analytic) = 1.999998000000666666577777784127 y1[1] (numeric) = 1.9999980000006666662944444877488 absolute error = 2.833332963782e-19 relative error = 1.4166678985584263358564460608838e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.3MB, time=0.90 NO POLE NO POLE x[1] = 0.003 y2[1] (analytic) = 1.0029999955000020249995660714828 y2[1] (numeric) = 1.0029999955000040499995660302285 absolute error = 2.0249999999587457e-15 relative error = 2.0189431795054695108829016724003e-13 % h = 0.001 y1[1] (analytic) = 1.9999955000033749989875001627232 y1[1] (numeric) = 1.9999955000033749976833336508604 absolute error = 1.3041665118628e-18 relative error = 6.5208472312092662944476752506506e-17 % h = 0.001 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.4MB, time=1.36 NO POLE NO POLE x[1] = 0.004 y2[1] (analytic) = 1.0039999893333418666634158737383 y2[1] (numeric) = 1.0039999893333503999967489875213 absolute error = 8.5333333331137830e-15 relative error = 8.4993360794554734261800811163717e-13 % h = 0.001 y1[1] (analytic) = 1.9999920000106666609777794031743 y1[1] (numeric) = 1.9999920000106666549000020291957 absolute error = 6.0777773739786e-18 relative error = 3.0389008425764628433349476871344e-16 % h = 0.001 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.4MB, time=1.82 NO POLE NO POLE x[1] = 0.005 y2[1] (analytic) = 1.0049999791666927083178323466521 y2[1] (numeric) = 1.0049999791667187499844982488393 absolute error = 2.60416666659021872e-14 relative error = 2.5912106672375192119841034109258e-12 % h = 0.001 y1[1] (analytic) = 1.9999875000260416449652874658951 y1[1] (numeric) = 1.9999875000260416227777882986883 absolute error = 2.21874991672068e-17 relative error = 1.1093818919827198273179542976560e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.4MB, time=2.30 NO POLE NO POLE x[1] = 0.006 y2[1] (analytic) = 1.0059999640000647999444571706286 y2[1] (numeric) = 1.0059999640001295999444550961725 absolute error = 6.47999999979255439e-14 relative error = 6.4413521189670112063149754340734e-12 % h = 0.001 y1[1] (analytic) = 1.9999820000539999352000416571262 y1[1] (numeric) = 1.9999820000539998698167098147387 absolute error = 6.53833318423875e-17 relative error = 3.2691960147952399706821474468289e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.4MB, time=2.77 NO POLE NO POLE x[1] = 0.007 y2[1] (analytic) = 1.0069999428334733915032653889815 y2[1] (numeric) = 1.0069999428336134498365939493144 absolute error = 1.400583333285603329e-13 relative error = 1.3908474804324953599849924792426e-11 % h = 0.001 y1[1] (analytic) = 1.9999755001000415032654207539152 y1[1] (numeric) = 1.9999755001000413391834787373941 absolute error = 1.640819420165211e-16 relative error = 8.2041976018362973640555781503305e-15 % h = 0.001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.4MB, time=3.23 NO POLE NO POLE x[1] = 0.008 y2[1] (analytic) = 1.0079999146669397329172321158996 y2[1] (numeric) = 1.0079999146672127995838890181255 absolute error = 2.730666666569022259e-13 relative error = 2.7089949382300105021861570140578e-11 % h = 0.001 y1[1] (analytic) = 1.9999680001706663025781938790692 y1[1] (numeric) = 1.9999680001706659377115309065534 absolute error = 3.648666629725158e-16 relative error = 1.8243625045069725099569100281608e-14 % h = 0.001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.4MB, time=3.70 NO POLE NO POLE x[1] = 0.009 y2[1] (analytic) = 1.0089998785004920740509992819119 y2[1] (numeric) = 1.0089998785009841490509809897563 absolute error = 4.920749999817078444e-13 relative error = 4.8768588625897229662583489842148e-11 % h = 0.001 y1[1] (analytic) = 1.9999595002733742618885676260481 y1[1] (numeric) = 1.9999595002733735229010729671701 absolute error = 7.389874946588780e-16 relative error = 3.6950122967883393342196713265017e-14 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=34.3MB, alloc=4.4MB, time=4.17 x[1] = 0.01 y2[1] (analytic) = 1.0099998333341666646825424382691 y2[1] (numeric) = 1.0099998333349999980158437722473 absolute error = 8.333333333013339782e-13 relative error = 8.2508264437071333935872682884284e-11 % h = 0.001 y1[1] (analytic) = 1.9999500004166652777802579337522 y1[1] (numeric) = 1.9999500004166638879191542444095 absolute error = 1.3898611036893427e-15 relative error = 6.9494792539802596545974526538768e-14 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.011 y2[1] (analytic) = 1.0109997781680087544668376486582 y2[1] (numeric) = 1.0109997781693508461334513229212 absolute error = 1.3420916666136742630e-12 relative error = 1.3274895757599705356303813501589e-10 % h = 0.001 y1[1] (analytic) = 1.9999395006100392061705942111311 y1[1] (numeric) = 1.999939500610036744599770868688 absolute error = 2.4615708233424431e-15 relative error = 1.2308226436807678589838303808161e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.4MB, time=4.64 NO POLE NO POLE x[1] = 0.012 y2[1] (analytic) = 1.0119997120020735928905285046671 y2[1] (numeric) = 1.0119997120041471928904445979843 absolute error = 2.0735999999160933172e-12 relative error = 2.0490124407385646564000998977970e-10 % h = 0.001 y1[1] (analytic) = 1.9999280008639958528106642115087 y1[1] (numeric) = 1.9999280008639917044440106504948 absolute error = 4.1483666535610139e-15 relative error = 2.0742579991724020019999212531805e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.5MB, time=5.11 NO POLE NO POLE x[1] = 0.013 y2[1] (analytic) = 1.0129996338364274292165933104141 y2[1] (numeric) = 1.012999633839521537549798668753 absolute error = 3.0941083332053583389e-12 relative error = 3.0544022227208176490584947924309e-10 % h = 0.001 y1[1] (analytic) = 1.9999155011900349627855091564792 y1[1] (numeric) = 1.9999155011900282576202482048506 absolute error = 6.7051652609516286e-15 relative error = 3.3527242810817604468452763458284e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.5MB, time=5.58 NO POLE NO POLE x[1] = 0.014 y2[1] (analytic) = 1.0139995426711485124180124917603 y2[1] (numeric) = 1.013999542675630379084490059921 absolute error = 4.4818666664775681607e-12 relative error = 4.4199888440492996032458779615362e-10 % h = 0.001 y1[1] (analytic) = 1.9999020016006562090143796091782 y1[1] (numeric) = 1.9999020016006457499644008252109 absolute error = 1.04590499787839673e-14 relative error = 5.2297812444874226233206715855034e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.5MB, time=6.05 NO POLE NO POLE x[1] = 0.015 y2[1] (analytic) = 1.0149994375063280910994362965188 y2[1] (numeric) = 1.0149994375126562160991643762821 absolute error = 6.3281249997280797633e-12 relative error = 6.2346093661639360142615998507593e-10 % h = 0.001 y1[1] (analytic) = 1.9998875021093591797510635966712 y1[1] (numeric) = 1.9998875021093433579802566065599 absolute error = 1.58217708069901113e-14 relative error = 7.9113304074865580593530916954509e-13 % h = 0.001 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.5MB, time=6.52 NO POLE NO POLE x[1] = 0.016 y2[1] (analytic) = 1.0159993173420714134058528640785 y2[1] (numeric) = 1.0159993173508095467388042963241 absolute error = 8.7381333329514322456e-12 relative error = 8.6005307127676312686370922126343e-10 % h = 0.001 y1[1] (analytic) = 1.9998720027306433650842994811316 y1[1] (numeric) = 1.9998720027306200618398873173677 absolute error = 2.33032444121637639e-14 relative error = 1.1652367941720921485184437050648e-12 % h = 0.001 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.5MB, time=6.99 NO POLE NO POLE x[1] = 0.017 y2[1] (analytic) = 1.0169991811784987269172567558558 y2[1] (numeric) = 1.0169991811903308685833980241063 absolute error = 1.18321416661412682505e-11 relative error = 1.1634366954386513474147827798758e-09 % h = 0.001 y1[1] (analytic) = 1.9998555034800081424382870793928 y1[1] (numeric) = 1.9998555034799746163841595199996 absolute error = 3.35260541275593932e-14 relative error = 1.6764238250823475788805199690187e-12 % h = 0.001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.5MB, time=7.46 NO POLE NO POLE x[1] = 0.018 y2[1] (analytic) = 1.0179990280157462785283180519899 y2[1] (numeric) = 1.0179990280314926785276083048349 absolute error = 1.57463999992902528450e-11 relative error = 1.5467991192469674487164443563647e-09 % h = 0.001 y1[1] (analytic) = 1.9998380043739527610733115303631 y1[1] (numeric) = 1.9998380043739055201233584390679 absolute error = 4.72409499530912952e-14 relative error = 2.3622388338339447747454632290161e-12 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=64.8MB, alloc=4.5MB, time=7.95 x[1] = 0.019 y2[1] (analytic) = 1.0189988568539673143120521346968 y2[1] (numeric) = 1.0189988568746014726444421245475 absolute error = 2.06341583323899898507e-11 relative error = 2.0249442080921853537917723101499e-09 % h = 0.001 y1[1] (analytic) = 1.9998195054299763255864954096783 y1[1] (numeric) = 1.999819505429910982237940077103 absolute error = 6.53433485553325753e-14 relative error = 3.2674623073687473075652464787170e-12 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.02 y2[1] (analytic) = 1.019998666693333079366490294693 y2[1] (numeric) = 1.0199986667199997460319212303172 absolute error = 2.66666666654309356242e-11 relative error = 2.6143825022712879621338422517314e-09 % h = 0.001 y1[1] (analytic) = 1.9998000066665777784126955908375 y1[1] (numeric) = 1.9998000066664888875794280767939 absolute error = 8.88908332675140436e-14 relative error = 4.4449861471739966426130464539638e-12 % h = 0.001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.5MB, time=8.42 NO POLE NO POLE x[1] = 0.021 y2[1] (analytic) = 1.0209984565340338176433513141045 y2[1] (numeric) = 1.0209984565680679926417536243849 absolute error = 3.40341749984023102804e-11 relative error = 3.3334208078959833296628644718231e-09 % h = 0.001 y1[1] (analytic) = 1.9997795081032558813255623519248 y1[1] (numeric) = 1.9997795081031367596714728289012 absolute error = 1.191216540895230236e-13 relative error = 5.9567394108617068508858644617858e-12 % h = 0.001 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.5MB, time=8.90 NO POLE NO POLE x[1] = 0.022 y2[1] (analytic) = 1.0219982253762797717577141972713 y2[1] (numeric) = 1.0219982254192267050890062036272 absolute error = 4.29469333312920063559e-11 relative error = 4.2022512627631799356294423938874e-09 % h = 0.001 y1[1] (analytic) = 1.9997580097605091959387792268559 y1[1] (numeric) = 1.9997580097603517217110913247854 absolute error = 1.574742276879020705e-13 relative error = 7.8746641803305574489282626844345e-12 % h = 0.001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.5MB, time=9.37 NO POLE NO POLE x[1] = 0.023 y2[1] (analytic) = 1.0229979722203021827776922398578 y2[1] (numeric) = 1.022997972273938374441778734764 absolute error = 5.36361916640864949062e-11 relative error = 5.2430398808782744688295673664326e-09 % h = 0.001 y1[1] (analytic) = 1.9997355116598360632075030999076 y1[1] (numeric) = 1.999735511659630455570107252311 absolute error = 2.056076373958475966e-13 relative error = 1.0281741570173324675945059001327e-11 % h = 0.001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.5MB, time=9.84 NO POLE NO POLE x[1] = 0.024 y2[1] (analytic) = 1.0239976960663542899931086466788 y2[1] (numeric) = 1.0239976961327094899898793757079 absolute error = 6.63551999967707290291e-11 relative error = 6.4800145792975457401377968761202e-09 % h = 0.001 y1[1] (analytic) = 1.9997120138237345819300250420899 y1[1] (numeric) = 1.9997120138234691587968118336872 absolute error = 2.654231332132084027e-13 relative error = 1.3273067890694996410030326606675e-11 % h = 0.001 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.5MB, time=10.31 NO POLE NO POLE x[1] = 0.025 y2[1] (analytic) = 1.0249973959147123306621739296497 y2[1] (numeric) = 1.0249973959960925389915019744539 absolute error = 8.13802083293280448042e-11 relative error = 7.9395526909318610844689831345121e-09 % h = 0.001 y1[1] (analytic) = 1.9996875162757025862496733876956 y1[1] (numeric) = 1.9996875162753634996178669035859 absolute error = 3.390866318064841097e-13 relative error = 1.6956980980609036046339735223180e-11 % h = 0.001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.5MB, time=10.80 NO POLE NO POLE x[1] = 0.026 y2[1] (analytic) = 1.0259970707656765397351653392646 y2[1] (numeric) = 1.0259970708646880063969053989049 absolute error = 9.90114666617400596403e-11 relative error = 9.6502679669299856573605415877554e-09 % h = 0.001 y1[1] (analytic) = 1.9996620190402376221569815491257 y1[1] (numeric) = 1.9996620190398085699404727256336 absolute error = 4.290522165088234921e-13 relative error = 2.1456236725181807468105630539705e-11 % h = 0.001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.5MB, time=11.28 NO POLE NO POLE x[1] = 0.027 y2[1] (analytic) = 1.0269967196195721495541086060083 y2[1] (numeric) = 1.0269967197391463745480951740242 absolute error = 1.195742249939865680159e-10 relative error = 1.1643097072236039072562576266856e-08 % h = 0.001 y1[1] (analytic) = 1.9996355221428369229921440678172 y1[1] (numeric) = 1.9996355221422988363548240451104 absolute error = 5.380866373200227068e-13 relative error = 2.6909235776297955884004085411366e-11 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=95.3MB, alloc=4.5MB, time=11.74 x[1] = 0.028 y2[1] (analytic) = 1.0279963414767503895274622921028 y2[1] (numeric) = 1.0279963416201701228535077267009 absolute error = 1.434197333260454345981e-10 relative error = 1.3951385577892066593554283513334e-08 % h = 0.001 y1[1] (analytic) = 1.9996080256099973839477853988185 y1[1] (numeric) = 1.9996080256093280891368788754012 absolute error = 6.692948109065234173e-13 relative error = 3.3471300491622569874803342553703e-11 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.029 y2[1] (analytic) = 1.0289959353375894857788050789868 y2[1] (numeric) = 1.0289959355085157274366975637106 absolute error = 1.709262416578924847238e-10 relative error = 1.6610973453633282317954500326396e-08 % h = 0.001 y1[1] (analytic) = 1.9995795294692155355720669262393 y1[1] (numeric) = 1.9995795294683893892514655154301 absolute error = 8.261463206014108092e-13 relative error = 4.1316002110739237749974405234905e-11 % h = 0.001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.5MB, time=12.22 NO POLE NO POLE x[1] = 0.03 y2[1] (analytic) = 1.0299955002024956607685263419263 y2[1] (numeric) = 1.0299955004049956607580277341455 absolute error = 2.024999999895013922192e-10 relative error = 1.9660280064300298224026440459075e-08 % h = 0.001 y1[1] (analytic) = 1.9995500337489875162721587064666 y1[1] (numeric) = 1.9995500337479750133557542949714 absolute error = 1.0125029164044114952e-12 relative error = 5.0636538186846667692667531145050e-11 % h = 0.001 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.5MB, time=12.69 NO POLE NO POLE x[1] = 0.031 y2[1] (analytic) = 1.0309950350719041328875203901453 y2[1] (numeric) = 1.030995035310480391208363954684 absolute error = 2.385762583208435645387e-10 relative error = 2.3140388673569574340012977493913e-08 % h = 0.001 y1[1] (analytic) = 1.999519538478809043818103435673 y1[1] (numeric) = 1.9995195384775763968031215443666 absolute error = 1.2326470149818913064e-12 relative error = 6.1647160293300376225612802145293e-11 % h = 0.001 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.5MB, time=13.17 NO POLE NO POLE x[1] = 0.032 y2[1] (analytic) = 1.0319945389462801160218847788703 y2[1] (numeric) = 1.0319945392259003826737728040603 absolute error = 2.796202666518880251900e-10 relative error = 2.7095130458480410411940623190697e-08 % h = 0.001 y1[1] (analytic) = 1.99948804368917538584710113775 y1[1] (numeric) = 1.9994880436876840746474342847827 absolute error = 1.4913111996668529673e-12 relative error = 7.4584652024990074117890432645897e-11 % h = 0.001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.5MB, time=13.64 NO POLE NO POLE x[1] = 0.033 y2[1] (analytic) = 1.0329940108261198190876231286692 y2[1] (numeric) = 1.0329940111522480940702244220878 absolute error = 3.261282749826012934186e-10 relative error = 3.1571168038214047062814683541060e-08 % h = 0.001 y1[1] (analytic) = 1.9994555494115813293682440683808 y1[1] (numeric) = 1.9994555494097876206477851347284 absolute error = 1.7937087204589336524e-12 relative error = 8.9709857315247803445294204068363e-11 % h = 0.001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.5MB, time=14.12 NO POLE NO POLE x[1] = 0.034 y2[1] (analytic) = 1.033993449711951445534352917468 y2[1] (numeric) = 1.033993450090579978847300178581 absolute error = 3.786285333129472611130e-10 relative error = 3.6618078520557853336939658909904e-08 % h = 0.001 y1[1] (analytic) = 1.9994220556785211492677323305128 y1[1] (numeric) = 1.9994220556763755842737079280928 absolute error = 2.1455649940244024200e-12 relative error = 1.0730925908968661456292527803249e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.5MB, time=14.59 NO POLE NO POLE x[1] = 0.035 y2[1] (analytic) = 1.0349928546043361928170187416202 y2[1] (numeric) = 1.0349928550420184844599058085097 absolute error = 4.376822916428870668895e-10 relative error = 4.2288436069465146504812042945757e-08 % h = 0.001 y1[1] (analytic) = 1.9993875625234885758146016960142 y1[1] (numeric) = 1.9993875625209354257109055384916 absolute error = 2.5531501036961575226e-12 relative error = 1.2769660827907462828141377966765e-10 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=122.0MB, alloc=4.5MB, time=15.06 x[1] = 0.036 y2[1] (analytic) = 1.0359922245038692518346115743976 y2[1] (numeric) = 1.0359922250077540518069905417088 absolute error = 5.038847999723789673112e-10 relative error = 4.8637893997098917869860983431185e-08 % h = 0.001 y1[1] (analytic) = 1.9993520699809767611669961277823 y1[1] (numeric) = 1.9993520699779534488675224041927 absolute error = 3.0233122994737235896e-12 relative error = 1.5121460321405471647221135886770e-10 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.037 y2[1] (analytic) = 1.0369915584111808063348945832681 y2[1] (numeric) = 1.0369915589890471146362727884563 absolute error = 5.778663083013782051882e-10 relative error = 5.5725266383725623882015154096615e-08 % h = 0.001 y1[1] (analytic) = 1.9993155780864782448790184960284 y1[1] (numeric) = 1.9993155780829147323809952473491 absolute error = 3.5635124980232486793e-12 relative error = 1.7823661942522576488869677651485e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.5MB, time=15.53 NO POLE NO POLE x[1] = 0.038 y2[1] (analytic) = 1.0379908553269370322841361013175 y2[1] (numeric) = 1.0379908559872300989139729762162 absolute error = 6.602930666298368748987e-10 relative error = 6.3612609228803243948382011256388e-08 % h = 0.001 y1[1] (analytic) = 1.9992780868764849184081939818869 y1[1] (numeric) = 1.9992780868723030586255164806883 absolute error = 4.1818597826775011986e-12 relative error = 2.0916848987280756554056838280222e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.5MB, time=16.00 NO POLE NO POLE x[1] = 0.039 y2[1] (analytic) = 1.038990114251841097200850383165 y2[1] (numeric) = 1.038990115003709422158554167832 absolute error = 7.518683249577037846670e-10 relative error = 7.2365301136586003771343136681900e-08 % h = 0.001 y1[1] (analytic) = 1.9992395963884879886235816608806 y1[1] (numeric) = 1.9992395963836008407201457941951 absolute error = 4.8871479034358666855e-12 relative error = 2.4445033563081783287290600611794e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.5MB, time=16.47 NO POLE NO POLE x[1] = 0.04 y2[1] (analytic) = 1.0399893341866341594525468117159 y2[1] (numeric) = 1.0399893350399674927374711274375 absolute error = 8.533333332849243157216e-10 relative error = 8.2052123539546514679986329637664e-08 % h = 0.001 y1[1] (analytic) = 1.9992001066609779403145707581291 y1[1] (numeric) = 1.9992001066552890475376064136758 absolute error = 5.6888927769643444533e-12 relative error = 2.8455844705139665948920022489582e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.5MB, time=16.97 NO POLE NO POLE x[1] = 0.041 y2[1] (analytic) = 1.0409885141320963675144882590847 y2[1] (numeric) = 1.0409885150975647091259285373382 absolute error = 9.654683416114402782535e-10 relative error = 9.2745340462894584105187483733136e-08 % h = 0.001 y1[1] (analytic) = 1.9991596177334444977003990664996 y1[1] (numeric) = 1.999159617726847126713803522408 absolute error = 6.5973709865955440916e-12 relative error = 3.3000721543562093311197253100665e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.5MB, time=17.45 NO POLE NO POLE x[1] = 0.042 y2[1] (analytic) = 1.0419876530890478591894593430143 y2[1] (numeric) = 1.0419876541781414591266491070951 absolute error = 1.0890935999371897640808e-09 relative error = 1.0452077783345060894036728743459e-07 % h = 0.001 y1[1] (analytic) = 1.9991181296463765849404320181795 y1[1] (numeric) = 1.9991181296387529256581033363575 absolute error = 7.6236592823286818220e-12 relative error = 3.8135111523785883824043279321679e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.5MB, time=17.95 NO POLE NO POLE x[1] = 0.043 y2[1] (analytic) = 1.0429867500583497607875453591051 y2[1] (numeric) = 1.042986751283420119049652355025 absolute error = 1.2250703582621069959199e-09 relative error = 1.1745790233611027090044154490400e-07 % h = 0.001 y1[1] (analytic) = 1.9990756424412622856452418993877 y1[1] (numeric) = 1.999075642432482610564412322683 absolute error = 8.7796750808295767047e-12 relative error = 4.3918673683142257362900284445609e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.5MB, time=18.42 NO POLE NO POLE x[1] = 0.044 y2[1] (analytic) = 1.0439858040409051862649227091604 y2[1] (numeric) = 1.0439858054152070528510448823094 absolute error = 1.3743018665861221731490e-09 relative error = 1.3163989982111621001775755545369e-07 % h = 0.001 y1[1] (analytic) = 1.9990321561605888013885276971428 y1[1] (numeric) = 1.9990321561505105834230970504501 absolute error = 1.00782179654306466927e-11 relative error = 5.0415486986398584125845014675179e-10 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=152.5MB, alloc=4.5MB, time=18.89 x[1] = 0.045 y2[1] (analytic) = 1.0449848140376602363206616869384 y2[1] (numeric) = 1.0449848155753946112298230008808 absolute error = 1.5377343749091613139424e-09 relative error = 1.4715375326533145798499161339265e-07 % h = 0.001 y1[1] (analytic) = 1.998987670847842409219917066164 y1[1] (numeric) = 1.998987670836309397033786161634 absolute error = 1.15330121861309045300e-11 relative error = 5.7694263723194151441043059687816e-10 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.046 y2[1] (analytic) = 1.0459837790496049974505425245932 y2[1] (numeric) = 1.0459837807659631306816886182308 absolute error = 1.7163581332311460936376e-09 relative error = 1.6409032029068866606590242584134e-07 % h = 0.001 y1[1] (analytic) = 1.9989421865475084181786929030993 y1[1] (numeric) = 1.9989421865343496680190969496099 absolute error = 1.31587501595959534894e-11 relative error = 6.5828567970358418246709859379229e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.5MB, time=19.36 NO POLE NO POLE x[1] = 0.047 y2[1] (analytic) = 1.0469826980777745409568856460712 y2[1] (numeric) = 1.046982699988982932508879325258 absolute error = 1.9112083915519936791868e-09 relative error = 1.8254441024296856165218855025531e-07 % h = 0.001 y1[1] (analytic) = 1.9988957033050711248084880143524 y1[1] (numeric) = 1.9988957032900999878393300314045 absolute error = 1.49711369691579829479e-11 relative error = 7.4897039122171200899907032308167e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.5MB, time=19.84 NO POLE NO POLE x[1] = 0.048 y2[1] (analytic) = 1.0479815701232499219133971177164 y2[1] (numeric) = 1.0479815722466163217850136772448 absolute error = 2.1233663998716165595284e-09 relative error = 2.0261486083404061216129084268916e-07 % h = 0.001 y1[1] (analytic) = 1.9988482211670137676729923628071 y1[1] (numeric) = 1.9988482211500268318081765990136 absolute error = 1.69869358648157637935e-11 relative error = 8.4983620491695253776945105976650e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.5MB, time=20.31 NO POLE NO POLE x[1] = 0.049 y2[1] (analytic) = 1.0489803941871591780840303313211 y2[1] (numeric) = 1.0489803965411195862739527030224 absolute error = 2.3539604081899223717013e-09 relative error = 2.2440461435067856376922255628818e-07 % h = 0.001 y1[1] (analytic) = 1.9987997401808184808727183777409 y1[1] (numeric) = 1.9987997401615944661094837340798 absolute error = 1.92240147632346436611e-11 relative error = 9.6177792986382774989510193981934e-10 % h = 0.001 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.5MB, time=20.78 NO POLE NO POLE x[1] = 0.05 y2[1] (analytic) = 1.0499791692706783287948650008455 y2[1] (numeric) = 1.0499791718748449953016787233503 absolute error = 2.6041666665068137225048e-09 relative error = 2.4802079343304335438453579139704e-07 % h = 0.001 y1[1] (analytic) = 1.9987502603949662465628708111565 y1[1] (numeric) = 1.9987502603732648528151242691654 absolute error = 2.17013937477465419911e-11 relative error = 1.0857481386122848244631033983739e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.5MB, time=21.26 NO POLE NO POLE x[1] = 0.051 y2[1] (analytic) = 1.0509778943750323737580046010091 y2[1] (numeric) = 1.0509778972502427985801926065025 absolute error = 2.8752104248221880054934e-09 relative error = 2.7357477642590587423527399336530e-07 % h = 0.001 y1[1] (analytic) = 1.9986997818589368464723686226592 y1[1] (numeric) = 1.9986997818344975529040186777503 absolute error = 2.44392935683499449089e-11 relative error = 1.2227596055281306959446101950831e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.5MB, time=21.73 NO POLE NO POLE x[1] = 0.052 y2[1] (analytic) = 1.0519765685014962918464934239395 y2[1] (numeric) = 1.0519765716698632249824306370147 absolute error = 3.1683669331359372130752e-09 relative error = 3.0118227230566216240695733285570e-07 % h = 0.001 y1[1] (analytic) = 1.9986483046232088124240673738526 y1[1] (numeric) = 1.9986483045957496272823574739349 absolute error = 2.74591851417098999177e-11 relative error = 1.3738877959765206445423492574677e-09 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=179.2MB, alloc=4.5MB, time=22.21 x[1] = 0.053 y2[1] (analytic) = 1.0529751906513960398192544790465 y2[1] (numeric) = 1.052975194136358481267202222509 absolute error = 3.4849624414479477434625e-09 relative error = 3.3096339518617388259341743978478e-07 % h = 0.001 y1[1] (analytic) = 1.9985958287392593758562316120275 y1[1] (numeric) = 1.998595828708475535805073601626 absolute error = 3.07838400511580104015e-11 relative error = 1.5402734063833638119147933477501e-09 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.054 y2[1] (analytic) = 1.0539737598261095509950495112643 y2[1] (numeric) = 1.0539737636524847507531497134699 absolute error = 3.8263751997581002022056e-09 relative error = 3.6304273840644731516849518826404e-07 % h = 0.001 y1[1] (analytic) = 1.9985423542595644163453077216662 y1[1] (numeric) = 1.9985423542251270342986152917341 absolute error = 3.44373820466924299321e-11 relative error = 1.7231249552102217143809524144047e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.5MB, time=22.71 NO POLE NO POLE x[1] = 0.055 y2[1] (analytic) = 1.0549722750270677338744624637872 y2[1] (numeric) = 1.0549722792211041919407316618011 absolute error = 4.1940364580662691980139e-09 relative error = 3.9754944820314463442699276748480e-07 % h = 0.001 y1[1] (analytic) = 1.9984878812375984091300487209863 y1[1] (numeric) = 1.9984878811991530695850708646114 absolute error = 3.84453395449778563749e-11 relative error = 1.9237214248789895400568413839260e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.5MB, time=23.18 NO POLE NO POLE x[1] = 0.056 y2[1] (analytic) = 1.0559707352557554707089077633976 y2[1] (numeric) = 1.0559707398451869370812308959466 absolute error = 4.5894314663723231325490e-09 relative error = 4.3461729697090190846044026982268e-07 % h = 0.001 y1[1] (analytic) = 1.9984324097278343716370434793934 y1[1] (numeric) = 1.9984324096849996725076979536058 absolute error = 4.28346991293455257876e-11 relative error = 2.1434149546833642758745870286722e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.5MB, time=23.66 NO POLE NO POLE x[1] = 0.057 y2[1] (analytic) = 1.0569691395137126160156648594609 y2[1] (numeric) = 1.0569691445278130906917888433086 absolute error = 5.0141004746761239838477e-09 relative error = 4.7438475611340906361486252127688e-07 % h = 0.001 y1[1] (analytic) = 1.9983759397857438090077038303105 y1[1] (numeric) = 1.9983759397381098489579106242052 absolute error = 4.76339600497932061053e-11 relative error = 2.3836335847248185259448491417866e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.5MB, time=24.14 NO POLE NO POLE x[1] = 0.058 y2[1] (analytic) = 1.0579674868025349950379405016371 y2[1] (numeric) = 1.0579674922721747280154675846436 absolute error = 5.4696397329775270830065e-09 relative error = 5.1699506848818799482165025416896e-07 % h = 0.001 y1[1] (analytic) = 1.9983184714677966586267640523913 y1[1] (numeric) = 1.9983184714149234689037788617853 absolute error = 5.28731897229851906060e-11 relative error = 2.6458840509115142650701879856537e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.5MB, time=24.62 NO POLE NO POLE x[1] = 0.059 y2[1] (analytic) = 1.0589657761238754021489602963286 y2[1] (numeric) = 1.0589657820815778934253411800617 absolute error = 5.9577024912763808837331e-09 relative error = 5.6259632044798607630383929433065e-07 % h = 0.001 y1[1] (analytic) = 1.9982600048314612336523481906139 y1[1] (numeric) = 1.9982600047728771534200958994649 absolute error = 5.85840802322522911490e-11 relative error = 2.9317546310593067310341081622298e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.5MB, time=25.08 NO POLE NO POLE x[1] = 0.06 y2[1] (analytic) = 1.059964006479444599199091137857 y2[1] (numeric) = 1.0599640129594445987716178621954 absolute error = 6.4799999995725267243384e-09 relative error = 6.1134151348168353325089084866277e-07 % h = 0.001 y1[1] (analytic) = 1.9982005399352041655476616871828 y1[1] (numeric) = 1.9982005398704041597200698560035 absolute error = 6.48000058275918311793e-11 relative error = 3.2429180421347052075817482463762e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=205.9MB, alloc=4.5MB, time=25.56 NO POLE NO POLE x[1] = 0.061 y2[1] (analytic) = 1.0609621768710123138049961673291 y2[1] (numeric) = 1.0609621839093148216707947490437 absolute error = 7.0383025078657985817146e-09 relative error = 6.6338863545759447304707827362000e-07 % h = 0.001 y1[1] (analytic) = 1.9981400768384903456143647905424 y1[1] (numeric) = 1.9981400767669342641886971520526 absolute error = 7.15560814256676384898e-11 relative error = 3.5811343886803745973832846193837e-09 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=209.8MB, alloc=4.5MB, time=26.03 x[1] = 0.062 y2[1] (analytic) = 1.0619602863004082375798239701208 y2[1] (numeric) = 1.0619602939348485037358467869303 absolute error = 7.6344402661560228168095e-09 relative error = 7.1890073147202284355913600190678e-07 % h = 0.001 y1[1] (analytic) = 1.9980786156017828655276862091243 y1[1] (numeric) = 1.9980786155228936434178761713908 absolute error = 7.88892221098100377335e-11 relative error = 3.9482541624644794417313308911878e-09 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.063 y2[1] (analytic) = 1.0629583337695230243034337818716 y2[1] (numeric) = 1.0629583420398275487464516929477 absolute error = 8.2703045244430179110761e-09 relative error = 7.7804597430591618487515036383906e-07 % h = 0.001 y1[1] (analytic) = 1.9980161562865429568733364747094 y1[1] (numeric) = 1.9980161561997047532433206320328 absolute error = 8.68382036300158426766e-11 relative error = 4.3462212933958904219313453327083e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.5MB, time=26.51 NO POLE NO POLE x[1] = 0.064 y2[1] (analytic) = 1.06395631828030928803165853285 y2[1] (numeric) = 1.0639563272281578207582527261869 absolute error = 8.9478485327265941933369e-09 relative error = 8.4099773449244176878122157267670e-07 % h = 0.001 y1[1] (analytic) = 1.9979526989552299296862814784865 y1[1] (numeric) = 1.9979526988597862057833331303033 absolute error = 9.54437239029483481832e-11 relative error = 4.7770762517479923872836153366781e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.5MB, time=26.98 NO POLE NO POLE x[1] = 0.065 y2[1] (analytic) = 1.0649542388347826011436076215074 y2[1] (numeric) = 1.0649542485038711421501611779758 absolute error = 9.6690885410065535564684e-09 relative error = 9.0793464999829157621780850350313e-07 % h = 0.001 y1[1] (analytic) = 1.9978882436713011099914376410286 y1[1] (numeric) = 1.9978882435665526444795003191066 absolute error = 1.047484655119373219220e-10 relative error = 5.2429592017345526070227607862798e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.6MB, time=27.47 NO POLE NO POLE x[1] = 0.066 y2[1] (analytic) = 1.0659520944350224923260113700025 y2[1] (numeric) = 1.0659521048711272916087005332705 absolute error = 1.04361047992826891632680e-08 relative error = 9.7904069552150454603116850236332e-07 % h = 0.001 y1[1] (analytic) = 1.9978227904992117763463511754871 y1[1] (numeric) = 1.9978227903844146171393721797027 absolute error = 1.147971592069789957844e-10 relative error = 5.7461132064818282494139426371926e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.6MB, time=27.95 NO POLE NO POLE x[1] = 0.067 y2[1] (analytic) = 1.066949884083173444493609177435 y2[1] (numeric) = 1.0669498953342160020483943182604 absolute error = 1.12510425575547851408254e-08 relative error = 1.0545052514085766375942446422954e-06 % h = 0.001 y1[1] (analytic) = 1.9977563395044150953859249013184 y1[1] (numeric) = 1.9977563393787784469811888443159 absolute error = 1.256366484047360570025e-10 relative error = 6.2888874844418130613244589288544e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.6MB, time=28.45 NO POLE NO POLE x[1] = 0.068 y2[1] (analytic) = 1.0679476067814458926445834504817 y2[1] (numeric) = 1.0679476188975589584671997131605 absolute error = 1.21161130658226162626788e-08 relative error = 1.1345231721936114843887564423234e-06 % h = 0.001 y1[1] (analytic) = 1.9976888907533620563692570638113 y1[1] (numeric) = 1.997688890616046101680719424856 absolute error = 1.373159546885376389553e-10 relative error = 6.8737407172922448669180026022649e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.6MB, time=28.94 NO POLE NO POLE x[1] = 0.069 y2[1] (analytic) = 1.0689452615321172216500414560873 y2[1] (numeric) = 1.0689452745657117957359890740725 absolute error = 1.30335945740859476179852e-08 relative error = 1.2192948547622467744961941768218e-06 % h = 0.001 y1[1] (analytic) = 1.9976204443135014047286576125715 y1[1] (numeric) = 1.9976204441636150604202783009199 absolute error = 1.498863443083793116516e-10 relative error = 7.5032444093697178355470147288903e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.6MB, time=29.41 NO POLE NO POLE x[1] = 0.07 y2[1] (analytic) = 1.0699428473375327639765473068079 y2[1] (numeric) = 1.0699428613433660963210815737007 absolute error = 1.40058333323445342668928e-08 relative error = 1.3090263061430739762296838400052e-06 % h = 0.001 y1[1] (analytic) = 1.9975510002532795746209083899397 y1[1] (numeric) = 1.9975510000898781789399853180659 absolute error = 1.634013956809230718738e-10 relative error = 8.1800862986829664971193512812791e-09 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=240.3MB, alloc=4.6MB, time=29.88 x[1] = 0.071 y2[1] (analytic) = 1.0709403632001067973407063563613 y2[1] (numeric) = 1.0709403782353513879388272376084 absolute error = 1.50352445905981208812471e-08 relative error = 1.4039292109292516319441332479498e-06 % h = 0.001 y1[1] (analytic) = 1.9974805586421406204808346780796 y1[1] (numeric) = 1.9974805584642235525913373451085 absolute error = 1.779170678894973329711e-10 relative error = 8.9070738195541122197760706730177e-09 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.072 y2[1] (analytic) = 1.0719378081223235422948043508805 y2[1] (numeric) = 1.0719378242466371411412457205954 absolute error = 1.61243135988464413697149e-08 relative error = 1.5042209983329951694932389588821e-06 % h = 0.001 y1[1] (analytic) = 1.9974091195505261475772565511564 y1[1] (numeric) = 1.9974091193570343773931596368716 absolute error = 1.934917701840969142848e-10 relative error = 9.6871376169363873196461986781815e-09 % h = 0.001 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.6MB, time=30.36 NO POLE NO POLE x[1] = 0.073 y2[1] (analytic) = 1.072935181106738159742503750316 y2[1] (numeric) = 1.0729351983823347668317222366681 absolute error = 1.72755966070892184863521e-08 relative error = 1.6101249088756090279663044705715e-06 % h = 0.001 y1[1] (analytic) = 1.9973366830498752415713894766508 y1[1] (numeric) = 1.9973366828396888090900064464598 absolute error = 2.101864324813830301910e-10 relative error = 1.0523335112457577157626105290161e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.6MB, time=30.83 NO POLE NO POLE x[1] = 0.074 y2[1] (analytic) = 1.0739324811559777483835997043727 y2[1] (numeric) = 1.0739324996476996137097631259588 absolute error = 1.84917218653261634215861e-08 relative error = 1.7218700607157098613530448394605e-06 % h = 0.001 y1[1] (analytic) = 1.9972632492126243970777646074002 y1[1] (numeric) = 1.9972632489845598202130813286572 absolute error = 2.280645768646832787430e-10 relative error = 1.1418854122239146503836738086924e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.6MB, time=31.31 NO POLE NO POLE x[1] = 0.075 y2[1] (analytic) = 1.0749297072727423420868382383092 y2[1] (numeric) = 1.0749297270481329656438136128318 absolute error = 1.97753906235569753745226e-08 relative error = 1.8396915156182726697730451353158e-06 % h = 0.001 y1[1] (analytic) = 1.9971888181122074452277402034419 y1[1] (numeric) = 1.9971888178650150551437485735463 absolute error = 2.471923900839916298956e-10 relative error = 1.2377016526541743128052718777037e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.6MB, time=31.78 NO POLE NO POLE x[1] = 0.076 y2[1] (analytic) = 1.075926858459805907189799275864 y2[1] (numeric) = 1.0759268795891840389711403812898 absolute error = 2.11293781317813411054258e-08 relative error = 1.9638303445671149119990102786304e-06 % h = 0.001 y1[1] (analytic) = 1.9971133898230554802356766201408 y1[1] (numeric) = 1.9971133895554166831797082068491 absolute error = 2.676387970559684132917e-10 relative error = 1.3401281991288499014742882873778e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.6MB, time=32.26 NO POLE NO POLE x[1] = 0.077 y2[1] (analytic) = 1.0769239337200173397248471995087 y2[1] (numeric) = 1.0769239562765519797237816666634 absolute error = 2.25565346399989344671547e-08 relative error = 2.0945336930234169743358183532789e-06 % h = 0.001 y1[1] (analytic) = 1.9970369644205967849678482964197 y1[1] (numeric) = 1.9970369641311212496039079908289 absolute error = 2.894755353639403055908e-10 relative error = 1.4495251741518277815561659463281e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.6MB, time=32.73 NO POLE NO POLE x[1] = 0.078 y2[1] (analytic) = 1.0779209320563014625701517221612 y2[1] (numeric) = 1.0779209561160878607795676364323 absolute error = 2.40597863982094159142711e-08 relative error = 2.2320548458328608086348261159117e-06 % h = 0.001 y1[1] (analytic) = 1.9969595419812567555141671741752 y1[1] (numeric) = 1.9969595416684795247562668568565 absolute error = 3.127772307579003173187e-10 relative error = 1.5662672386821746151188526561684e-08 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=267.0MB, alloc=4.6MB, time=33.21 x[1] = 0.079 y2[1] (analytic) = 1.078917852471660022524781919421 y2[1] (numeric) = 1.0789178781137966789372139078861 absolute error = 2.56421366564124319884651e-08 relative error = 2.3766532917839521054751201340063e-06 % h = 0.001 y1[1] (analytic) = 1.9968811225824578247627929771481 y1[1] (numeric) = 1.996881122244836351108285197935 absolute error = 3.376214736545077792131e-10 relative error = 1.6907439798813876169131812527312e-08 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.08 y2[1] (analytic) = 1.0799146939691726873068763473145 y2[1] (numeric) = 1.0799147212758393519144911261852 absolute error = 2.73066666646076147788707e-08 relative error = 2.5285947878200750364874673225889e-06 % h = 0.001 y1[1] (analytic) = 1.9968017063026193849777067746335 y1[1] (numeric) = 1.9968017059385304883406184465894 absolute error = 3.640888966370883280441e-10 relative error = 1.8233603040697217366212809080630e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.6MB, time=33.68 NO POLE NO POLE x[1] = 0.081 y2[1] (analytic) = 1.0809114555519980424738922474652 y2[1] (numeric) = 1.0809114846085347152684736032319 absolute error = 2.90565366727945813557667e-08 relative error = 2.6881514229078123815961868028561e-06 % h = 0.001 y1[1] (analytic) = 1.9967212932211577093793252524484 y1[1] (numeric) = 1.9967212928288944564236913605683 absolute error = 3.922632529556338918801e-10 relative error = 1.9645368348971007103913563190043e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.6MB, time=34.16 NO POLE NO POLE x[1] = 0.082 y2[1] (analytic) = 1.0819081362233745882639369195213 y2[1] (numeric) = 1.0819081671183615192368700956019 absolute error = 3.08949869309729331760806e-08 relative error = 2.8556016815640477517796251479729e-06 % h = 0.001 y1[1] (analytic) = 1.9966398834184858727282341105376 y1[1] (numeric) = 1.9966398829962543767014314357632 absolute error = 4.222314960268026747744e-10 relative error = 2.1147103167341921494002788181263e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=278.4MB, alloc=4.6MB, time=34.65 NO POLE NO POLE x[1] = 0.083 y2[1] (analytic) = 1.0829047349866217363571844195929 y2[1] (numeric) = 1.0829047678119604254994398786225 absolute error = 3.28253386891422554590296e-08 relative error = 3.0312305070443506249775007891701e-06 % h = 0.001 y1[1] (analytic) = 1.9965574769760136709121200034776 y1[1] (numeric) = 1.9965574765219298109782008626353 absolute error = 4.540838599339191408423e-10 relative error = 2.2743340232893001420771916407218e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.6MB, time=35.13 NO POLE NO POLE x[1] = 0.084 y2[1] (analytic) = 1.0839012508451408065563808233651 y2[1] (numeric) = 1.0839012856961360038584973535142 absolute error = 3.48509951973021165301491e-08 relative error = 3.2153293641951290311867649476998e-06 % h = 0.001 y1[1] (analytic) = 1.9964740739761475395359814369392 y1[1] (numeric) = 1.996474073488233598609007439241 absolute error = 4.879139409269739976982e-10 relative error = 2.4438781714568022406713964443841e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.6MB, time=35.61 NO POLE NO POLE x[1] = 0.085 y2[1] (analytic) = 1.0848976828024160233854413734644 y2[1] (numeric) = 1.0848977197778587288375085053336 absolute error = 3.69754427054520671318692e-08 relative error = 3.4081963019720189517757358723595e-06 % h = 0.001 y1[1] (analytic) = 1.9963896745022904715157000298915 y1[1] (numeric) = 1.9963896739784716915930758506717 absolute error = 5.238187799226241792198e-10 relative error = 2.6238303404029311831332443473996e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.6MB, time=36.08 NO POLE NO POLE x[1] = 0.086 y2[1] (analytic) = 1.0858940298620155126051429125651 y2[1] (numeric) = 1.0858940690642669761967826112724 absolute error = 3.92022514635916396987073e-08 relative error = 3.6101360156269638368052620942795e-06 % h = 0.001 y1[1] (analytic) = 1.99630427863884193367505454897 y1[1] (numeric) = 1.9963042780769429876708617213638 absolute error = 5.618989460041928276062e-10 relative error = 2.8146958958947752689338983293521e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.6MB, time=36.56 NO POLE NO POLE x[1] = 0.087 y2[1] (analytic) = 1.0868902910275922976449150866258 y2[1] (numeric) = 1.0868903325626690193652626816772 absolute error = 4.15350767217203475950514e-08 relative error = 3.8214599085664220918777765486944e-06 % h = 0.001 y1[1] (analytic) = 1.9962178864711977823462611179861 y1[1] (numeric) = 1.9962178858689391614245918432942 absolute error = 6.022586209216692746919e-10 relative error = 3.0169984198784449635625110202679e-08 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=297.5MB, alloc=4.6MB, time=37.03 x[1] = 0.088 y2[1] (analytic) = 1.0878864653028852959497338865477 y2[1] (numeric) = 1.0878865092805450257874181999566 absolute error = 4.39776597298376843134089e-08 relative error = 4.0424861538831249419481454989823e-06 % h = 0.001 y1[1] (analytic) = 1.9961304980857501779741240020321 y1[1] (numeric) = 1.9961304974407444933824149795532 absolute error = 6.450056845917090224789e-10 relative error = 3.2312801453124270521737232197421e-08 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.089 y2[1] (analytic) = 1.0888825516917203152411211814445 y2[1] (numeric) = 1.0888825982255490531842438123368 absolute error = 4.65338287379431226308923e-08 relative error = 4.2735397555637917428389207590833e-06 % h = 0.001 y1[1] (analytic) = 1.9960421135698874987238823620237 y1[1] (numeric) = 1.9960421128796356971262486391765 absolute error = 6.902518015976337228472e-10 relative error = 3.4581023962622214992991276167110e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.6MB, time=37.53 NO POLE NO POLE x[1] = 0.09 y2[1] (analytic) = 1.0898785491980110496912539826071 y2[1] (numeric) = 1.0898785984055110457273677042167 absolute error = 4.92074999960361137216096e-08 relative error = 4.5149526093751945811278752986071e-06 % h = 0.001 y1[1] (analytic) = 1.9959527330119942530928393718251 y1[1] (numeric) = 1.995952732273881744403408215426 absolute error = 7.381125086894311563991e-10 relative error = 3.6980460332624300998009053189737e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.6MB, time=38.01 NO POLE NO POLE x[1] = 0.091 y2[1] (analytic) = 1.0908744568257600760091872641378 y2[1] (numeric) = 1.090874508828438830125273486652 absolute error = 5.20026787541160862225142e-08 relative error = 4.7670635634309488788433529521891e-06 % h = 0.001 y1[1] (analytic) = 1.9958623565014509915258610863215 y1[1] (numeric) = 1.9958623557127436882421058759281 absolute error = 7.887073032837552103934e-10 relative error = 3.9517119039525400275009999094348e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=308.9MB, alloc=4.6MB, time=38.48 NO POLE NO POLE x[1] = 0.092 y2[1] (analytic) = 1.0918702735790598494381942541119 y2[1] (numeric) = 1.0918703285025201116206395042715 absolute error = 5.49234602621824452501596e-08 relative error = 5.0302184784413917002468526153607e-06 % h = 0.001 y1[1] (analytic) = 1.9957709841286342170348334449319 y1[1] (numeric) = 1.9957709832864744840709075892114 absolute error = 8.421597329639258557205e-10 relative error = 4.2197212989927195032332733866946e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.6MB, time=38.96 NO POLE NO POLE x[1] = 0.093 y2[1] (analytic) = 1.0928659984620936996632281990127 y2[1] (numeric) = 1.0928660564361244698977995646945 absolute error = 5.79740307702345713656818e-08 relative error = 5.3047702876488945431395286792025e-06 % h = 0.001 y1[1] (analytic) = 1.9956786159849162948221667910982 y1[1] (numeric) = 1.9956786150863188088422376682289 absolute error = 8.985974859799291228693e-10 relative error = 4.5027164132660170146204017830291e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.6MB, time=39.43 NO POLE NO POLE x[1] = 0.094 y2[1] (analytic) = 1.0938616304791368266275096940581 y2[1] (numeric) = 1.0938616916378053548993291792735 absolute error = 6.11586685282718194852154e-08 relative error = 5.5910790564509425858461679806259e-06 % h = 0.001 y1[1] (analytic) = 1.9955852521626653609084382842383 y1[1] (numeric) = 1.9955852512045128781600212074068 absolute error = 9.581524827484170768315e-10 relative error = 4.8013608123734298267497136245600e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.6MB, time=39.91 NO POLE NO POLE x[1] = 0.095 y2[1] (analytic) = 1.0948571686345572962572437629159 y2[1] (numeric) = 1.094857233116302082550761495737 absolute error = 6.44817447862935177328211e-08 relative error = 5.8895120417132976525555709701508e-06 % h = 0.001 y1[1] (analytic) = 1.9954908927552452297642635765136 y1[1] (numeric) = 1.9954908917342842614115557856252 absolute error = 1.0209609683527077908884e-09 relative error = 5.1163399044283819272936658150399e-08 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=324.2MB, alloc=4.6MB, time=40.40 x[1] = 0.096 y2[1] (analytic) = 1.0958526119328170360934709621744 y2[1] (numeric) = 1.0958526798805418303924371950459 absolute error = 6.79477247942989662328715e-08 relative error = 6.2004437507755475532871815977928e-06 % h = 0.001 y1[1] (analytic) = 1.9953955378570153009464901225307 y1[1] (numeric) = 1.995395536769851694903704803311 absolute error = 1.0871636060427853192197e-09 relative error = 5.4483614171572260525742343093497e-08 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.097 y2[1] (analytic) = 1.0968479593784728308300568787975 y2[1] (numeric) = 1.0968480309396416331174927175108 absolute error = 7.15611688022874358387133e-08 relative error = 6.5242560001513299496726985783835e-06 % h = 0.001 y1[1] (analytic) = 1.9952991875633304647388054857769 y1[1] (numeric) = 1.995299186406424893003505817503 absolute error = 1.1569055717352996682739e-09 relative error = 5.7981558803124590437947913673528e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.6MB, time=40.87 NO POLE NO POLE x[1] = 0.098 y2[1] (analytic) = 1.0978432099761773177568244826618 y2[1] (numeric) = 1.0978432853029103780149912769389 absolute error = 7.53267330602581667942771e-08 relative error = 6.8613379739255044932541605797006e-06 % h = 0.001 y1[1] (analytic) = 1.9952018419705410067968550011736 y1[1] (numeric) = 1.9952018407402043572832882343396 absolute error = 1.2303366495135667668340e-09 relative error = 6.1664771134054144862358037545747e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.6MB, time=41.35 NO POLE NO POLE x[1] = 0.099 y2[1] (analytic) = 1.0988383627306799821068338911219 y2[1] (numeric) = 1.0988384419798508003172012162943 absolute error = 7.92491708182103673251724e-08 relative error = 7.2120862818505326783829108937423e-06 % h = 0.001 y1[1] (analytic) = 1.9951035011759925117979641486209 y1[1] (numeric) = 1.9951034998683811836703957139114 absolute error = 1.3076113281275684347095e-09 relative error = 6.5541027187652713898162990956309e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=335.7MB, alloc=4.6MB, time=41.83 NO POLE NO POLE x[1] = 0.1 y2[1] (analytic) = 1.0998334166468281523068141984106 y2[1] (numeric) = 1.0998334999801614784500263540605 absolute error = 8.33333333261432121556499e-08 relative error = 7.5769050171443106463327398919931e-06 % h = 0.001 y1[1] (analytic) = 1.9950041652780257660955619878039 y1[1] (numeric) = 1.9950041638891368676016096378209 absolute error = 1.3888888984939523499830e-09 relative error = 6.9618345799312925781856838390910e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.6MB, time=42.30 NO POLE NO POLE x[1] = 0.101 y2[1] (analytic) = 1.1008283707295679951297521195232 y2[1] (numeric) = 1.1008284583137388291855930671892 absolute error = 8.75841708340558409476660e-08 relative error = 7.9562058139916860702027583821850e-06 % h = 0.001 y1[1] (analytic) = 1.994903834375976659378402999829 y1[1] (numeric) = 1.9949038329016431071823709850939 absolute error = 1.4743335521960320147351e-09 relative error = 7.3904993653852814665627809387081e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.6MB, time=42.78 NO POLE NO POLE x[1] = 0.102 y2[1] (analytic) = 1.1018232239839455107486422960806 y2[1] (numeric) = 1.1018233159906791026959989542073 absolute error = 9.20067335919473566581267e-08 relative error = 8.3504079047518762408696164881048e-06 % h = 0.001 y1[1] (analytic) = 1.9948025085701760853346856764599 y1[1] (numeric) = 1.9948025070060616043508989572922 absolute error = 1.5641144809837867191677e-09 relative error = 7.8409490376313210270395360715464e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.6MB, time=43.25 NO POLE NO POLE x[1] = 0.103 y2[1] (analytic) = 1.1028179754151075276904042105046 y2[1] (numeric) = 1.1028180720212803775072280207279 absolute error = 9.66061728498168238102233e-08 relative error = 8.7599381768739905619505167986889e-06 % h = 0.001 y1[1] (analytic) = 1.9947001879619498413211671928266 y1[1] (numeric) = 1.9947001863035438640473056887846 absolute error = 1.6584059772738615040420e-09 relative error = 8.3140613676299339651558065076514e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.6MB, time=43.73 NO POLE NO POLE x[1] = 0.104 y2[1] (analytic) = 1.1038126240283026976889707546695 y2[1] (numeric) = 1.1038127254160445553522374292804 absolute error = 1.013877418576632666746109e-07 relative error = 9.1852312295228468457601294104504e-06 % h = 0.001 y1[1] (analytic) = 1.9945968726536185270373744944846 y1[1] (numeric) = 1.9945968708962309913878073731413 absolute error = 1.7573875356495671213433e-09 relative error = 8.8107404545938784643761046690201e-08 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=354.7MB, alloc=4.6MB, time=44.20 x[1] = 0.105 y2[1] (analytic) = 1.1048071688288824904365536000268 y2[1] (numeric) = 1.1048072751856793559222209560301 absolute error = 1.063567968654856673560033e-07 relative error = 9.6267294299172570818907377571232e-06 % h = 0.001 y1[1] (analytic) = 1.9944925627484974422050131246041 y1[1] (numeric) = 1.9944925608872534868441331315243 absolute error = 1.8612439553608799930798e-09 relative error = 9.3319172511528692968077562909324e-08 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.106 y2[1] (analytic) = 1.1058016088223021882320906180187 y2[1] (numeric) = 1.1058017203411003115150543986043 absolute error = 1.115187981232829637805856e-07 relative error = 1.0084882969382944724629502276907e-05 % h = 0.001 y1[1] (analytic) = 1.9943872583508964832526761118722 y1[1] (numeric) = 1.9943872563807310394282339437539 absolute error = 1.9701654438244421681183e-09 relative error = 9.8785500938945896502513631133210e-08 % h = 0.001 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.6MB, time=44.68 NO POLE NO POLE x[1] = 0.107 y2[1] (analytic) = 1.1067959430141218805258807024165 y2[1] (numeric) = 1.1067960598934327615799282818774 absolute error = 1.168793108810540475794609e-07 relative error = 1.0560149919122242014265186853736e-05 % h = 0.001 y1[1] (analytic) = 1.9942809595661200390059562343918 y1[1] (numeric) = 1.9942809574817723178823949574343 absolute error = 2.0843477211235612769575e-09 relative error = 1.0451625239289434684630526312089e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.6MB, time=45.15 NO POLE NO POLE x[1] = 0.108 y2[1] (analytic) = 1.1077901704100074583594114490316 y2[1] (numeric) = 1.1077902928540138471571733121926 absolute error = 1.224440063887977618631610e-07 relative error = 1.1052996285702702409752489345579e-05 % h = 0.001 y1[1] (analytic) = 1.9941736665004668853830659694533 y1[1] (numeric) = 1.9941736642964747598748554851249 absolute error = 2.2039921255082104843284e-09 relative error = 1.1052157405006503606109201496501e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.6MB, time=45.63 NO POLE NO POLE x[1] = 0.109 y2[1] (analytic) = 1.1087842900157316086993852530554 y2[1] (numeric) = 1.1087844182343945052122841351128 absolute error = 1.282186628965128988820574e-07 relative error = 1.1563896066266749865522419235458e-05 % h = 0.001 y1[1] (analytic) = 1.9940653792612300790960704335539 y1[1] (numeric) = 1.9940653769319243592010419940396 absolute error = 2.3293057198950284395143e-09 relative error = 1.1681190316628432936046628204524e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.6MB, time=46.13 NO POLE NO POLE x[1] = 0.11 y2[1] (analytic) = 1.1097783008371748086649494900834 y2[1] (numeric) = 1.1097784350463414628631470573954 absolute error = 1.342091666541981975673120e-07 relative error = 1.2093331303464473432785165501469e-05 % h = 0.001 y1[1] (analytic) = 1.9939560979566968503578396114198 y1[1] (numeric) = 1.9939560954961954509905203871486 absolute error = 2.4605013993673192242712e-09 relative error = 1.2339797259772739655377236723279e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.6MB, time=46.60 NO POLE NO POLE x[1] = 0.111 y2[1] (analytic) = 1.1107722018803263196471365536769 y2[1] (numeric) = 1.1107723423018392314994775004772 absolute error = 1.404215129118523409468003e-07 relative error = 1.2641792140111662504805008259586e-05 % h = 0.001 y1[1] (analytic) = 1.993845822696148494594827167072 y1[1] (numeric) = 1.9938458200983504949197748688448 absolute error = 2.5977979996750522982272e-09 relative error = 1.3029081637627419024320410464041e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.6MB, time=47.10 NO POLE NO POLE x[1] = 0.112 y2[1] (analytic) = 1.1117659921512851813195196301052 y2[1] (numeric) = 1.1117661390130921007934730603371 absolute error = 1.468618069194739534302319e-07 relative error = 1.3209776873575164955678887173730e-05 % h = 0.001 y1[1] (analytic) = 1.9937345535898602631657841241467 y1[1] (numeric) = 1.9937345508484398564309216825137 absolute error = 2.7414204067348624416330e-09 relative error = 1.3750177533908618113618262582328e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.6MB, time=47.58 NO POLE NO POLE x[1] = 0.113 y2[1] (analytic) = 1.1127596706562612055390901996952 y2[1] (numeric) = 1.112759824192526132600688157171 absolute error = 1.535362649270615979574758e-07 relative error = 1.3797792009887637442468680310313e-05 % h = 0.001 y1[1] (analytic) = 1.9936222907491012530865166967484 y1[1] (numeric) = 1.9936222878575015859564670014189 absolute error = 2.8915996671300496953295e-09 relative error = 1.4504250281248282437959423797615e-07 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=385.2MB, alloc=4.6MB, time=48.04 x[1] = 0.114 y2[1] (analytic) = 1.1137532364015759701363633639937 y2[1] (numeric) = 1.113753396852791154750136367871 absolute error = 1.604512151846137730038773e-07 relative error = 1.4406352317593744250475762857202e-05 % h = 0.001 y1[1] (analytic) = 1.9935090342861342957607985460685 y1[1] (numeric) = 1.9935090312375611961502192482751 absolute error = 3.0485730996105792977934e-09 relative error = 1.5292497035019749556045665825513e-07 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.115 y2[1] (analytic) = 1.1147466883936638125937172087197 y2[1] (numeric) = 1.1147468560067627547226266448447 absolute error = 1.676130989421289094361250e-07 relative error = 1.5035980881329848260362762975276e-05 % h = 0.001 y1[1] (analytic) = 1.9933947843142158447175487318465 y1[1] (numeric) = 1.993394781101631437124467112734 absolute error = 3.2125844075930816191125e-09 relative error = 1.6116147352609340096042094140607e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.6MB, time=48.52 NO POLE NO POLE x[1] = 0.116 y2[1] (analytic) = 1.1157400256390728236109725242508 y2[1] (numeric) = 1.1157402006675442732163397362422 absolute error = 1.750284714496053672119914e-07 relative error = 1.5687209155139224903084763681565e-05 % h = 0.001 y1[1] (analytic) = 1.993279540947595862354387621489 y1[1] (numeric) = 1.9932795375637120696935355297482 absolute error = 3.3838837926608520917408e-09 relative error = 1.6976463778142073381153270953802e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.6MB, time=49.00 NO POLE NO POLE x[1] = 0.117 y2[1] (analytic) = 1.1167332471444658405572193181459 y2[1] (numeric) = 1.1167334298484687975986512351766 absolute error = 1.827040029570414319170307e-07 relative error = 1.6360577015524817343558640063084e-05 % h = 0.001 y1[1] (analytic) = 1.993163304301517705687684013279 y1[1] (numeric) = 1.9931633007387896366238328754071 absolute error = 3.5627280690638511378719e-09 relative error = 1.7874742432669711668874943777393e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.6MB, time=49.47 NO POLE NO POLE x[1] = 0.118 y2[1] (analytic) = 1.117726351916621440807896667961 y2[1] (numeric) = 1.1177265425631011552432077990326 absolute error = 1.906464797144353111310716e-07 relative error = 1.7056632814241538596047496751748e-05 % h = 0.001 y1[1] (analytic) = 1.99304607449221801110920772362 y1[1] (numeric) = 1.9930460707428372318905036303556 absolute error = 3.7493807792187040932644e-09 relative error = 1.8812313609829413980346891797918e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.6MB, time=49.95 NO POLE NO POLE x[1] = 0.119 y2[1] (analytic) = 1.1187193389624349349661325773612 y2[1] (numeric) = 1.1187195378252399067512631944477 absolute error = 1.988628049717851306170865e-07 relative error = 1.7775933430830113822744492021345e-05 % h = 0.001 y1[1] (analytic) = 1.9929278516369265781495028816522 y1[1] (numeric) = 1.9929278476928142679408017543063 absolute error = 3.9441123102087011273459e-09 relative error = 1.9790542376981357584312034800908e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.6MB, time=50.42 NO POLE NO POLE x[1] = 0.12 y2[1] (analytic) = 1.119712207288919359967350614271 y2[1] (numeric) = 1.1197124146489193390562809390324 absolute error = 2.073599999790889303247614e-07 relative error = 1.8519044324894443701389995366670e-05 % h = 0.001 y1[1] (analytic) = 1.9928086358538662522480981678576 y1[1] (numeric) = 1.9928086317066662409643010084443 absolute error = 4.1472000112837971594133e-09 relative error = 2.0810829181833762414656162009419e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.6MB, time=50.90 NO POLE NO POLE x[1] = 0.121 y2[1] (analytic) = 1.1207049559032064720661502265403 y2[1] (numeric) = 1.1207051720484114584108104273621 absolute error = 2.161452049863446602008218e-07 relative error = 1.9286539588124457467334162639695e-05 % h = 0.001 y1[1] (analytic) = 1.9926884272622528065306712264356 y1[1] (numeric) = 1.9926884229033244941700594556937 absolute error = 4.3589283123606117707419e-09 relative error = 2.1874610464563831042574698196882e-07 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=411.9MB, alloc=4.6MB, time=51.38 x[1] = 0.122 y2[1] (analytic) = 1.1216975838125477397044677483272 y2[1] (numeric) = 1.1216978090382279832546435462241 absolute error = 2.252256802435501757978969e-07 relative error = 2.0079001996066412039656174135225e-05 % h = 0.001 y1[1] (analytic) = 1.992567225982294822593285474272 y1[1] (numeric) = 1.9925672214027059790708563618685 absolute error = 4.5795888435224291124035e-09 relative error = 2.2983359275443194295221725972417e-07 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.123 y2[1] (analytic) = 1.1226900900243153362600252291201 y2[1] (numeric) = 1.1226903246331223369632589025434 absolute error = 2.346088070007032336734233e-07 relative error = 2.0897023059642581529167697009955e-05 % h = 0.001 y1[1] (analytic) = 1.9924450321351935702938185222573 y1[1] (numeric) = 1.9924450273257130147746207136675 absolute error = 4.8094805555191978085898e-09 relative error = 2.4138585897976530213510318545289e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.6MB, time=51.85 NO POLE NO POLE x[1] = 0.124 y2[1] (analytic) = 1.1236824735460031326740743370329 y2[1] (numeric) = 1.1236827178480916404755609068343 absolute error = 2.443020885078014865698014e-07 relative error = 2.1741203076422269397762830909828e-05 % h = 0.001 y1[1] (analytic) = 1.992321845843142886550702417515 y1[1] (numeric) = 1.9923218407942330452831715622887 absolute error = 5.0489098412675308552263e-09 relative error = 2.5341838477562101773666810119455e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.6MB, time=52.34 NO POLE NO POLE x[1] = 0.125 y2[1] (analytic) = 1.1246747333852276899574427087121 y2[1] (numeric) = 1.1246749876983787047999210754338 absolute error = 2.543131510148424783667217e-07 relative error = 2.2612151181646063593035479377970e-05 % h = 0.001 y1[1] (analytic) = 1.9921976672293290531490969077882 y1[1] (numeric) = 1.9921976619311383947983913941362 absolute error = 5.2981906583507055136520e-09 relative error = 2.6594703655683036661432544010535e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.6MB, time=52.81 NO POLE NO POLE x[1] = 0.126 y2[1] (analytic) = 1.1256668685497292515738902398917 y2[1] (numeric) = 1.1256671331994740233975290361697 absolute error = 2.646497447718236387962780e-07 relative error = 2.3510485399005243118778346641038e-05 % h = 0.001 y1[1] (analytic) = 1.9920724964179306735546179218037 y1[1] (numeric) = 1.9920724908602860210359547226682 absolute error = 5.5576446525186631991355e-09 relative error = 2.7898807209638250385672939612917e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.6MB, time=53.29 NO POLE NO POLE x[1] = 0.127 y2[1] (analytic) = 1.1266588780473727356997829333235 y2[1] (numeric) = 1.1266591533671177644420608444931 absolute error = 2.753197450287422779111696e-07 relative error = 2.4436832691178232720319413558825e-05 % h = 0.001 y1[1] (analytic) = 1.9919463335341185487347444518721 y1[1] (numeric) = 1.9919463277065172665467350878904 absolute error = 5.8276012821880093639817e-09 relative error = 2.9255814697821992150711076037696e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.6MB, time=53.76 NO POLE NO POLE x[1] = 0.128 y2[1] (analytic) = 1.1276507608861487273590920444897 y2[1] (numeric) = 1.1276510472173017629546723404725 absolute error = 2.863311530355955802959828e-07 relative error = 2.5391829010125990663062612995298e-05 % h = 0.001 y1[1] (analytic) = 1.9918191787040555519880280173089 y1[1] (numeric) = 1.9918191725956576080460146423286 absolute error = 6.1083979439420133749803e-09 relative error = 3.0667432110561071175280424963548e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.6MB, time=54.24 NO POLE NO POLE x[1] = 0.129 y2[1] (analytic) = 1.128642516074174470432726390184 y2[1] (numeric) = 1.1286428137662715128133254013944 absolute error = 2.976920970423805990112104e-07 relative error = 2.6376119347148202962501133637651e-05 % h = 0.001 y1[1] (analytic) = 1.9916910320548965027812298794554 y1[1] (numeric) = 1.9916910256545164037506214945229 absolute error = 6.4003800990306083849325e-09 relative error = 3.2135406526518899551668013139280e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=438.7MB, alloc=4.6MB, time=54.71 NO POLE NO POLE x[1] = 0.13 y2[1] (analytic) = 1.1296341426196948595412058107083 y2[1] (numeric) = 1.1296344520305281586354550700489 absolute error = 3.094108332990942492593406e-07 relative error = 2.7390357782702145883794542992989e-05 % h = 0.001 y1[1] (analytic) = 1.9915618937147880395945121711518 y1[1] (numeric) = 1.9915618870108866387241209731684 absolute error = 6.7039014008703911979834e-09 relative error = 3.3661526774675566282692209429859e-07 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=442.5MB, alloc=4.6MB, time=55.19 x[1] = 0.131 y2[1] (analytic) = 1.1306256395310834317996839030976 y2[1] (numeric) = 1.1306259610268304875329856650959 absolute error = 3.214957470557333017619983e-07 relative error = 2.8435207535986067068174911417757e-05 % h = 0.001 y1[1] (analytic) = 1.9914317638128684917748100954616 y1[1] (numeric) = 1.991431756793544668230187966984 absolute error = 7.0193238235446221284776e-09 relative error = 3.5247624101893235817804217759929e-07 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.132 y2[1] (analytic) = 1.1316170058168433584443282704301 y2[1] (numeric) = 1.1316173397721969207387041072092 absolute error = 3.339553535622943758367791e-07 relative error = 2.9511341014288924261411479949569e-05 % h = 0.001 y1[1] (analytic) = 1.991300642479267750397513340263 y1[1] (numeric) = 1.9913006351322499590942884872215 absolute error = 7.3470177913032248530415e-09 relative error = 3.6895572846076243234018130836227e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.6MB, time=55.66 NO POLE NO POLE x[1] = 0.133 y2[1] (analytic) = 1.1326082404856084363290666609268 y2[1] (numeric) = 1.1326085872839075051029988229811 absolute error = 3.467982990687739321620543e-07 relative error = 3.0619439862108309315756983558320e-05 % h = 0.001 y1[1] (analytic) = 1.9911685298451071381365858470171 y1[1] (numeric) = 1.9911685221577448290737995914279 absolute error = 7.6873623090627862555892e-09 relative error = 3.8607291114935337173834449744855e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.6MB, time=56.14 NO POLE NO POLE x[1] = 0.134 y2[1] (analytic) = 1.1335993425461440792917075001763 y2[1] (numeric) = 1.1335997025795059044599727178352 absolute error = 3.600333618251682652176589e-07 relative error = 3.1760195010038373910668165714594e-05 % h = 0.001 y1[1] (analytic) = 1.9910354260424992781432540635797 y1[1] (numeric) = 1.9910354180017541842366977986494 absolute error = 8.0407450939065562649303e-09 relative error = 4.0384741470365600761947731034162e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.6MB, time=56.61 NO POLE NO POLE x[1] = 0.135 y2[1] (analytic) = 1.1345903110073483093884434504466 y2[1] (numeric) = 1.1345906846768013908619388394499 absolute error = 3.736694530814734953890033e-07 relative error = 3.2934306723429562288587775799236e-05 % h = 0.001 y1[1] (analytic) = 1.9909013312045479619333948023605 y1[1] (numeric) = 1.9909013227969852543489471177077 absolute error = 8.4075627075844476846528e-09 relative error = 4.2229931618447659976670085660741e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.6MB, time=57.11 NO POLE NO POLE x[1] = 0.136 y2[1] (analytic) = 1.1355811448782527479957467626642 y2[1] (numeric) = 1.1355815325938708356813074844256 absolute error = 3.877156180876855607217614e-07 relative error = 3.4142484650821945229648126522441e-05 % h = 0.001 y1[1] (analytic) = 1.990766245465348016283754816428 y1[1] (numeric) = 1.9907662366771273262707188014928 absolute error = 8.7882206900130360149352e-09 relative error = 4.4144915105081868351744827159791e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.6MB, time=57.59 NO POLE NO POLE x[1] = 0.137 y2[1] (analytic) = 1.1365718431680236067786653192461 y2[1] (numeric) = 1.1365722453490607005788736331458 absolute error = 4.021810370938002083138997e-07 relative error = 3.5385447872153938492766459641484e-05 % h = 0.001 y1[1] (analytic) = 1.9906301689599851691371351973316 y1[1] (numeric) = 1.9906301597768514753615759313978 absolute error = 9.1831336937755592659338e-09 relative error = 4.6131792017265236430921250202559e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.6MB, time=58.08 NO POLE NO POLE x[1] = 0.138 y2[1] (analytic) = 1.1375624048859626785245283995723 y2[1] (numeric) = 1.1375628219609890283375137309809 absolute error = 4.170750263498129853314086e-07 relative error = 3.6663924946748178029710594168705e-05 % h = 0.001 y1[1] (analytic) = 1.9904931018245359145166746894438 y1[1] (numeric) = 1.990493092231810294894756927069 absolute error = 9.5927256196219177623748e-09 relative error = 4.8192709690020954092445238083589e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.6MB, time=58.55 NO POLE NO POLE x[1] = 0.139 y2[1] (analytic) = 1.1385528290415083278410713344755 y2[1] (numeric) = 1.1385532614485474335603009681627 absolute error = 4.324070391057192296336872e-07 relative error = 3.7978653961076313432786492107036e-05 % h = 0.001 y1[1] (analytic) = 1.9903550441960673764493670065295 y1[1] (numeric) = 1.990355034178637623480693067561 absolute error = 1.00174297529686739389685e-08 relative error = 5.0329863418990433704786077870623e-07 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=473.0MB, alloc=4.6MB, time=59.02 x[1] = 0.14 y2[1] (analytic) = 1.1395431146442364817179883517054 y2[1] (numeric) = 1.1395435628309030932320483458205 absolute error = 4.481866666115140599941151e-07 relative error = 3.9330382576304470305307507222615e-05 % h = 0.001 y1[1] (analytic) = 1.9902159962126371718989482270114 y1[1] (numeric) = 1.9902159857549482704998961007647 absolute error = 1.04576889013990521262467e-08 relative error = 5.2545497178697882069662814310328e-07 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.141 y2[1] (analytic) = 1.1405332607038616199509230508977 y2[1] (numeric) = 1.140533725127500737143288951812 absolute error = 4.644236391171923659009143e-07 relative error = 4.0719868075621121546421953337089e-05 % h = 0.001 y1[1] (analytic) = 1.9900759580132932727082913350357 y1[1] (numeric) = 1.9900759470993377395453530086223 absolute error = 1.09139555331629383264134e-08 relative error = 5.4841904346497489255037762223212e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.6MB, time=59.50 NO POLE NO POLE x[1] = 0.142 y2[1] (analytic) = 1.1415232662302377654269060841403 y2[1] (numeric) = 1.1415237473580646381757030071068 absolute error = 4.811278268727487969229665e-07 relative error = 4.2147877411349096917679874069602e-05 % h = 0.001 y1[1] (analytic) = 1.9899349297380738665514459649294 y1[1] (numeric) = 1.98993491835138194987456598615 absolute error = 1.13866919166768799787794e-08 relative error = 5.7221428432213402720382827704368e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.6MB, time=59.97 NO POLE NO POLE x[1] = 0.143 y2[1] (analytic) = 1.1425131302333594742702497567803 y2[1] (numeric) = 1.1425136285426006024480013815858 absolute error = 4.983092411281777516248055e-07 relative error = 4.3615187251843449707393615073115e-05 % h = 0.001 y1[1] (analytic) = 1.9897929115280072168954623969991 y1[1] (numeric) = 1.9897928996516369558713766826608 absolute error = 1.18763702610240857143383e-08 relative error = 5.9686463813482735590515054137695e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=484.4MB, alloc=4.6MB, time=60.45 NO POLE NO POLE x[1] = 0.144 y2[1] (analytic) = 1.143502851723362825847909402661 y2[1] (numeric) = 1.1435033677013979593212754172049 absolute error = 5.159780351334733660145439e-07 relative error = 4.5122584028176888829875434063485e-05 % h = 0.001 y1[1] (analytic) = 1.9896499035251115219721398428361 y1[1] (numeric) = 1.9896498911416386645177147438095 absolute error = 1.23834728574544250990266e-08 relative error = 6.2239456476811938543847694336157e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.6MB, time=60.93 NO POLE NO POLE x[1] = 0.145 y2[1] (analytic) = 1.1444924297105264126333215285089 y2[1] (numeric) = 1.1444929638550315512628230365377 absolute error = 5.341445051386295015080288e-07 relative error = 4.6670863980614474289509849710657e-05 % h = 0.001 y1[1] (analytic) = 1.989505905872394772759840048366 y1[1] (numeric) = 1.9895058929639025508754116831766 absolute error = 1.29084922218844283651894e-08 relative error = 6.4882904764356945547238513608948e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.6MB, time=61.40 NO POLE NO POLE x[1] = 0.146 y2[1] (analytic) = 1.1454818632052723299277288637166 y2[1] (numeric) = 1.1454824160243637235674612557576 absolute error = 5.528190913936397323920410e-07 relative error = 4.8260833204879263603831526964175e-05 % h = 0.001 y1[1] (analytic) = 1.9893609187138546099755082328197 y1[1] (numeric) = 1.9893609052619233715782221020566 absolute error = 1.34519312383972861307631e-08 relative error = 6.7619360126437584594078903577490e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.6MB, time=61.88 NO POLE NO POLE x[1] = 0.147 y2[1] (analytic) = 1.1464711512181671654380025942768 y2[1] (numeric) = 1.1464717232305463139353353631461 absolute error = 5.720123791484973327688693e-07 relative error = 4.9893307698210586514830020836874e-05 % h = 0.001 y1[1] (analytic) = 1.9892149421944781800770443715908 y1[1] (numeric) = 1.9892149281801748763341952659286 absolute error = 1.40143033037428491056622e-08 relative error = 7.0451427879796825685984601146304e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.6MB, time=62.36 NO POLE NO POLE x[1] = 0.148 y2[1] (analytic) = 1.1474602927599229887099722031298 y2[1] (numeric) = 1.1474608844950226419052351672182 absolute error = 5.917350996531952629640884e-07 relative error = 5.1569113405216615123090584463260e-05 % h = 0.001 y1[1] (analytic) = 1.9890679764602419902761688205978 y1[1] (numeric) = 1.9890679618641095174385410357533 absolute error = 1.45961324728376277848445e-08 relative error = 7.3381767971615519542809558287630e-07 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.149 y2[1] (analytic) = 1.148449286841398340416273483676 y2[1] (numeric) = 1.1484498988395294981424288625406 absolute error = 6.119981311577261553788646e-07 relative error = 5.3289086263522886454612386954153e-05 % h = 0.001 y1[1] (analytic) = 1.9889200216581117625619272692718 y1[1] (numeric) = 1.9889200064601581572971351417644 absolute error = 1.51979536052647921275074e-08 relative error = 7.6413095749293361931868869800627e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.6MB, time=62.82 NO POLE NO POLE x[1] = 0.15 y2[1] (analytic) = 1.1494381324735992214977254386876 y2[1] (numeric) = 1.1494387652860991335800252062811 absolute error = 6.328124999120822997675935e-07 relative error = 5.5054072249218424414729590749783e-05 % h = 0.001 y1[1] (analytic) = 1.9887710779360422867349809986543 y1[1] (numeric) = 1.9887710621157297739608097768031 absolute error = 1.58203125127741712218512e-08 relative error = 7.9548182736006900076558164845093e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.6MB, time=63.30 NO POLE NO POLE x[1] = 0.151 y2[1] (analytic) = 1.1504268286676800821572469233262 y2[1] (numeric) = 1.1504274828570612484128748444704 absolute error = 6.541893811662556279211442e-07 relative error = 5.6864927422101098097010021508300e-05 % h = 0.001 y1[1] (analytic) = 1.9886211454429772724528294103012 y1[1] (numeric) = 1.9886211289792111646705764754766 absolute error = 1.64637661077822529348246e-08 relative error = 8.2789857412055479338220051733022e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.6MB, time=63.78 NO POLE NO POLE x[1] = 0.152 y2[1] (analytic) = 1.1514153744349448107053240384303 y2[1] (numeric) = 1.1514160505750449809430217738751 absolute error = 6.761401001702376977354448e-07 relative error = 5.8722517970723843496836971021625e-05 % h = 0.001 y1[1] (analytic) = 1.9884702243288492002861127807586 y1[1] (numeric) = 1.9884702071999666474139292345116 absolute error = 1.71288825528721835462470e-08 relative error = 8.6141006002006110264424582844473e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=514.9MB, alloc=4.6MB, time=64.24 NO POLE NO POLE x[1] = 0.153 y2[1] (analytic) = 1.1524037687868477222560394286898 y2[1] (numeric) = 1.1524044674629808962757160732811 absolute error = 6.986761331740196766445913e-07 relative error = 6.0627720257243365829111769044755e-05 % h = 0.001 y1[1] (analytic) = 1.9883183147445791717861441852958 y1[1] (numeric) = 1.9883182969283377604923768186112 absolute error = 1.78162414112937673666846e-08 relative error = 8.9604573267648318163089423664741e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.6MB, time=64.72 NO POLE NO POLE x[1] = 0.154 y2[1] (analytic) = 1.1533920107349945472726747897587 y2[1] (numeric) = 1.1533927325441029748649991868609 absolute error = 7.218091084275923243971022e-07 relative error = 6.2581420862072929866672304809287e-05 % h = 0.001 y1[1] (analytic) = 1.9881654168420767585638205233501 y1[1] (numeric) = 1.988165398315642960100354184918 absolute error = 1.85264337984634663384321e-08 relative error = 9.3183563306770119596290901786732e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.6MB, time=65.20 NO POLE NO POLE x[1] = 0.155 y2[1] (analytic) = 1.1543800992911434199618980387873 y2[1] (numeric) = 1.1543808448419506009078731921502 absolute error = 7.455508071809459751533629e-07 relative error = 6.4584516628340836000131934731817e-05 % h = 0.001 y1[1] (analytic) = 1.9880115307742398503800635667605 y1[1] (numeric) = 1.9880115115141773159156639478269 absolute error = 1.92600625344643996189336e-08 relative error = 9.6881040357766352591563731566798e-07 % h = 0.001 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.6MB, time=65.68 NO POLE NO POLE x[1] = 0.156 y2[1] (analytic) = 1.1553680334672058665155467542681 y2[1] (numeric) = 1.1553688033803705505860656359919 absolute error = 7.699131646840705188817238e-07 relative error = 6.6637914706156170070436413392654e-05 % h = 0.001 y1[1] (analytic) = 1.9878566566949545022479429403361 y1[1] (numeric) = 1.9878566366772122047015997943847 absolute error = 2.00177422975463431459514e-08 relative error = 1.0070012961009066994317023735490e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=530.2MB, alloc=4.6MB, time=66.15 x[1] = 0.157 y2[1] (analytic) = 1.1563558122752477931990196434946 y2[1] (numeric) = 1.1563566071835189801544016736093 absolute error = 7.949082711869553820301147e-07 relative error = 6.8742532596683405442046318181211e-05 % h = 0.001 y1[1] (analytic) = 1.9877007947590947805466339326243 y1[1] (numeric) = 1.9877007739589950019209047488525 absolute error = 2.08000997786257291837718e-08 relative error = 1.0464401802056258772258710276508e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.158 y2[1] (analytic) = 1.1573434347274904742852879493246 y2[1] (numeric) = 1.157344255275863413874795398756 absolute error = 8.205483729395895074494314e-07 relative error = 7.0899298196027426266818123545214e-05 % h = 0.001 y1[1] (analytic) = 1.9875439451225226081473640229073 y1[1] (numeric) = 1.9875439235147487713617181731975 absolute error = 2.16077738367856458497098e-08 relative error = 1.0871595513554106403753487565783e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.6MB, time=66.64 NO POLE NO POLE x[1] = 0.159 y2[1] (analytic) = 1.1583308998363115398335388623175 y2[1] (numeric) = 1.158331746682184731794872406647 absolute error = 8.468458731919613335443295e-07 relative error = 7.3109149838930531435919191135207e-05 % h = 0.001 y1[1] (analytic) = 1.9873861079420876085515029984672 y1[1] (numeric) = 1.987386085500671952775666378315 absolute error = 2.24414156557758366201522e-08 relative error = 1.1291925391897616617361903027507e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.6MB, time=67.12 NO POLE NO POLE x[1] = 0.16 y2[1] (analytic) = 1.159318206614245963311463159686 y2[1] (numeric) = 1.1593190804275791573702357861135 absolute error = 8.738133331940587726264275e-07 relative error = 7.5373036342282969329015459135905e-05 % h = 0.001 y1[1] (analytic) = 1.9872272833756269490409525240183 y1[1] (numeric) = 1.9872272600739380475282527086621 absolute error = 2.33016889015126998153562e-08 relative error = 1.1725729158635046752333453233365e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=541.6MB, alloc=4.6MB, time=67.59 NO POLE NO POLE x[1] = 0.161 y2[1] (analytic) = 1.1603053540739870490601994488555 y2[1] (numeric) = 1.1603062555374602449293878931317 absolute error = 9.014634731958691884442762e-07 relative error = 7.7691917048448544146063736601049e-05 % h = 0.001 y1[1] (analytic) = 1.9870674715819651828409920129024 y1[1] (numeric) = 1.9870674473926953022617039507111 absolute error = 2.41892698805792880621913e-08 relative error = 1.2173351044452189915507453952419e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.6MB, time=68.06 NO POLE NO POLE x[1] = 0.162 y2[1] (analytic) = 1.1612923412283874196009475507708 y2[1] (numeric) = 1.1612932710375608669803204145642 absolute error = 9.298091734473793728637934e-07 relative error = 8.0066761868406825346874790999828e-05 % h = 0.001 y1[1] (analytic) = 1.9869066727209140902957386371875 y1[1] (numeric) = 1.9869066476160663905704309032003 absolute error = 2.51048476997253077339872e-08 relative error = 1.2635141873747986450123801195109e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.6MB, time=68.54 NO POLE NO POLE x[1] = 0.163 y2[1] (analytic) = 1.1622791670904600027822637164169 y2[1] (numeric) = 1.1622801259539352013577853886118 absolute error = 9.588634751985755216721949e-07 relative error = 8.2498551324713482526744095347726e-05 % h = 0.001 y1[1] (analytic) = 1.9867448869532725190563803011996 y1[1] (numeric) = 1.9867448609041480926892619345707 absolute error = 2.60491244263671183666289e-08 relative error = 1.3111459149802650945085508358857e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.6MB, time=69.02 NO POLE NO POLE x[1] = 0.164 y2[1] (analytic) = 1.1632658306733790187670505293435 y2[1] (numeric) = 1.1632668193129607182102600071099 absolute error = 9.886395816994432094777664e-07 relative error = 8.4988276594280258922431781805533e-05 % h = 0.001 y1[1] (analytic) = 1.9865821144408262232823413902376 y1[1] (numeric) = 1.9865820874180109731946093402343 absolute error = 2.70228152500877320500033e-08 relative error = 1.3602667140539512411955834517182e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.6MB, time=69.50 NO POLE NO POLE x[1] = 0.165 y2[1] (analytic) = 1.1642523309904809668582545072829 y2[1] (numeric) = 1.1642533501413401668256181844133 absolute error = 1.0191508591999673636771304e-06 relative error = 8.7536939550976087671174912329510e-05 % h = 0.001 y1[1] (analytic) = 1.9864183553463477018555420932949 y1[1] (numeric) = 1.9864183273196990567187292994116 absolute error = 2.80266486451368127938833e-08 relative error = 1.4109136964881773673970818386693e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=560.7MB, alloc=4.6MB, time=69.98 x[1] = 0.166 y2[1] (analytic) = 1.1652386670552656121622845772482 y2[1] (numeric) = 1.1652397174661035622945220381963 absolute error = 1.0504108379501322374609481e-06 relative error = 9.0145552808050845935796883870470e-05 % h = 0.001 y1[1] (analytic) = 1.9862536098335960356079130855139 y1[1] (numeric) = 1.9862535807722295016772372182132 absolute error = 2.90613665339306758673007e-08 relative error = 1.4631246679705404446717273942620e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.167 y2[1] (analytic) = 1.1662248378813969720891647607741 y2[1] (numeric) = 1.1662259203146101720105465890527 absolute error = 1.0824332131999213818282786e-06 relative error = 9.2815139760383233060910563584228e-05 % h = 0.001 y1[1] (analytic) = 1.9860878780673167235623283428443 y1[1] (numeric) = 1.9860878479395922720100412324138 absolute error = 3.01277244515522871104305e-08 relative error = 1.5169381367389391044010195627232e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.6MB, time=70.45 NO POLE NO POLE x[1] = 0.168 y2[1] (analytic) = 1.1672108424827043026884345692303 y2[1] (numeric) = 1.1672119577145505020060511483111 absolute error = 1.1152318461993176165790808e-06 relative error = 9.5546734626554250038263699555451e-05 % h = 0.001 y1[1] (analytic) = 1.985921160213241518187119847961 y1[1] (numeric) = 1.985921128986749806935857629978 absolute error = 3.12264917112512622179830e-08 relative error = 1.5723933223964574115032794274305e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=568.4MB, alloc=4.6MB, time=70.93 NO POLE NO POLE x[1] = 0.169 y2[1] (analytic) = 1.1681966798731830848198107733898 y2[1] (numeric) = 1.1681978286939482831228110269837 absolute error = 1.1488207651983030002535939e-06 relative error = 9.8341382490747748733022501991961e-05 % h = 0.001 y1[1] (analytic) = 1.9857534564380882596643389329105 y1[1] (numeric) = 1.9857534240796366887204729398477 absolute error = 3.23584515709438659930628e-08 relative error = 1.6295301647862314310103038462989e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.6MB, time=71.40 NO POLE NO POLE x[1] = 0.17 y2[1] (analytic) = 1.1691823490669960101576243766708 y2[1] (numeric) = 1.1691835322811624570164233632437 absolute error = 1.1832141664468587989865729e-06 relative error = 0.00010120013934447951055681010660106 % h = 0.001 y1[1] (analytic) = 1.9855847669095607091719299902125 y1[1] (numeric) = 1.9855847333851593084589184197844 absolute error = 3.35244014007130115704281e-08 relative error = 1.6883893329264234282647243579166e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.6MB, time=71.87 NO POLE NO POLE x[1] = 0.171 y2[1] (analytic) = 1.1701678490784739670280467877005 y2[1] (numeric) = 1.1701690675048891619935010312744 absolute error = 1.2184264151949654542435739e-06 relative error = 0.00010412407212815630556719088815146 % h = 0.001 y1[1] (analytic) = 1.9854150917963483811799832702289 y1[1] (numeric) = 1.9854150570711955298717236621802 absolute error = 3.47251528513082596080487e-08 relative error = 1.7490122340054293964216978007261e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=579.8MB, alloc=4.6MB, time=72.35 NO POLE NO POLE x[1] = 0.172 y2[1] (analytic) = 1.1711531789221170260781193550527 y2[1] (numeric) = 1.1711544333941637186806687607541 absolute error = 1.2544720466926025494057014e-06 relative error = 0.00010711425877246637432660524224671 % h = 0.001 y1[1] (analytic) = 1.9852444312681263747612344685321 y1[1] (numeric) = 1.9852443953065943511154170227065 absolute error = 3.59615320236458174458256e-08 relative error = 1.8114410224374464597818703035703e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.6MB, time=72.83 NO POLE NO POLE x[1] = 0.173 y2[1] (analytic) = 1.1721383376125954257756005952159 y2[1] (numeric) = 1.1721396289783626155243757636319 absolute error = 1.2913657671897487751684160e-06 relative error = 0.00011017178823960276626609717060505 % h = 0.001 y1[1] (analytic) = 1.9850727854955552039159797927608 y1[1] (numeric) = 1.9850727482611755646074415624538 absolute error = 3.72343796393085382303070e-08 relative error = 1.8757186089785275582574408275397e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.6MB, time=73.30 NO POLE NO POLE x[1] = 0.174 y2[1] (analytic) = 1.1731233241647505577386456140236 y2[1] (numeric) = 1.1731246532872054941205393332144 absolute error = 1.3291224549363818937191908e-06 relative error = 0.00011329776056432095977013212434566 % h = 0.001 y1[1] (analytic) = 1.9849001546502806269115761840325 y1[1] (numeric) = 1.9849001161057294148656561798381 absolute error = 3.85445512120459200041944e-08 relative error = 1.9418886699032516769920441431553e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=591.2MB, alloc=4.6MB, time=73.77 x[1] = 0.175 y2[1] (analytic) = 1.1741081375935959518943323919514 y2[1] (numeric) = 1.1741095053507571343730340499169 absolute error = 1.3677571611824787016579655e-06 relative error = 0.00011649328689483218072796567696425 % h = 0.001 y1[1] (analytic) = 1.9847265389049334746366973533995 y1[1] (numeric) = 1.9847264990120162543625925939983 absolute error = 3.98929172202741047594012e-08 relative error = 2.0099956562421387458327282591461e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.176 y2[1] (analytic) = 1.1750927769143182614650497748359 y2[1] (numeric) = 1.175094184199429439480041398337 absolute error = 1.4072851111780149916235011e-06 relative error = 0.00011975948953353382788399308112367 % h = 0.001 y1[1] (analytic) = 1.9845519384331294779705172790773 y1[1] (numeric) = 1.9845518971527661973946398266891 absolute error = 4.12803632805758774523882e-08 relative error = 2.0800848030799391960012284160784e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.6MB, time=74.25 NO POLE NO POLE x[1] = 0.177 y2[1] (analytic) = 1.1760772411422782477817621837097 y2[1] (numeric) = 1.1760786888639834207472747715852 absolute error = 1.4477217051729655125878755e-06 relative error = 0.00012309750197757840496388424651224 % h = 0.001 y1[1] (analytic) = 1.9843763534094690941669937952475 y1[1] (numeric) = 1.9843763107016787719663288147859 absolute error = 4.27077903222006649804616e-08 relative error = 2.1522021389149290259459151423150e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.6MB, time=74.73 NO POLE NO POLE x[1] = 0.178 y2[1] (analytic) = 1.1770615292930117649231662305697 y2[1] (numeric) = 1.1770630183755311822270950110512 absolute error = 1.4890825194173039287804815e-06 relative error = 0.00012650846895928235125469064384018 % h = 0.001 y1[1] (analytic) = 1.9841997840095373322544258881378 y1[1] (numeric) = 1.9841997398334225696898907704529 absolute error = 4.41761147625645351176849e-08 relative error = 2.2263944950793420949891069796341e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.6MB, time=75.20 NO POLE NO POLE x[1] = 0.179 y2[1] (analytic) = 1.1780456403822307441797546010046 y2[1] (numeric) = 1.1780471717655379051825318029999 absolute error = 1.5313833071610027772019953e-06 relative error = 0.0001299935464863761540751056543804 % h = 0.001 y1[1] (analytic) = 1.9840222304099035774504592998064 y1[1] (numeric) = 1.9840221847236348937002638907945 absolute error = 4.56862686837501954090119e-08 relative error = 2.3027095152210722320298092781106e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.6MB, time=75.67 NO POLE NO POLE x[1] = 0.18 y2[1] (analytic) = 1.1790295734258241783418027396992 y2[1] (numeric) = 1.1790311480658238323752264275753 absolute error = 1.5746399996540334236878761e-06 relative error = 0.00013355390188209711838627635685791 % h = 0.001 y1[1] (analytic) = 1.9838436927881214145927160246115 y1[1] (numeric) = 1.9838436455489214045857240033988 absolute error = 4.72392000100069920212127e-08 relative error = 2.3811956648467786172340153876147e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.6MB, time=76.14 NO POLE NO POLE x[1] = 0.181 y2[1] (analytic) = 1.1800133274398591058102940509108 y2[1] (numeric) = 1.1800149463085662521763115309425 absolute error = 1.6188687071463660174800317e-06 relative error = 0.00013719071382512616066361361629411 % h = 0.001 y1[1] (analytic) = 1.9836641713227284505852242677207 y1[1] (numeric) = 1.9836641224868557643343157186003 absolute error = 4.88358726862509085491204e-08 relative error = 2.4619022409265287673563217626339e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.6MB, time=76.64 NO POLE NO POLE x[1] = 0.182 y2[1] (analytic) = 1.1809969014405815945297995030755 y2[1] (numeric) = 1.1809985655263014824992437674205 absolute error = 1.6640857198879694442643450e-06 relative error = 0.00014090517238936998607554313350939 % h = 0.001 y1[1] (analytic) = 1.983483666193246135860826419216 y1[1] (numeric) = 1.9834836157159792782962616435303 absolute error = 5.04772668575645647756857e-08 relative error = 2.5448793815601143301021709700253e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=617.9MB, alloc=4.6MB, time=77.11 NO POLE NO POLE x[1] = 0.183 y2[1] (analytic) = 1.1819802944444177257423277047451 y2[1] (numeric) = 1.1819820047519268545536053355477 absolute error = 1.7103075091288112776308026e-06 relative error = 0.00014469847908358999999569994312522 % h = 0.001 y1[1] (analytic) = 1.9833021775801795848597435813723 y1[1] (numeric) = 1.9833021254158005351625281970877 absolute error = 5.21643790496972153842846e-08 relative error = 2.6301780757051757697730959011560e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.184 y2[1] (analytic) = 1.1829635054679745775611616980887 y2[1] (numeric) = 1.1829652630187026964188906100796 absolute error = 1.7575507281188577289119909e-06 relative error = 0.00014857184689087929691031191700278 % h = 0.001 y1[1] (analytic) = 1.9831197056650173955244761705281 memory used=621.8MB, alloc=4.6MB, time=77.57 y1[1] (numeric) = 1.9831196517667950449597275488496 absolute error = 5.38982223505647486216785e-08 relative error = 2.7178501729672729053516248034266e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.185 y2[1] (analytic) = 1.1839465335280412083636988962014 y2[1] (numeric) = 1.1839483393602543164372942509424 absolute error = 1.8058322131080735953547410e-06 relative error = 0.00015252650030798906187206805555535 % h = 0.001 y1[1] (analytic) = 1.9829362506302314678112210986348 y1[1] (numeric) = 1.982936194950404875061536188651 absolute error = 5.56798265927496849099838e-08 relative error = 2.8079483934520391431922943543942e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.6MB, time=78.05 NO POLE NO POLE x[1] = 0.186 y2[1] (analytic) = 1.1849293776415896400023107714653 y2[1] (numeric) = 1.1849312328105739864245173501596 absolute error = 1.8551689843464222065786943e-06 relative error = 0.00015656367538450571179524884538141 % h = 0.001 y1[1] (analytic) = 1.9827518126592768212179870230509 y1[1] (numeric) = 1.9827517551490382842168116170908 absolute error = 5.75102385370011754059601e-08 relative error = 2.9005263376795581296039593774425e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.6MB, time=78.52 NO POLE NO POLE x[1] = 0.187 y2[1] (analytic) = 1.185912036825775840832239084182 y2[1] (numeric) = 1.1859139424040229246976083587261 absolute error = 1.9055782470838653692745441e-06 relative error = 0.00016068461976188009608393860072455 % h = 0.001 y1[1] (analytic) = 1.9825663919365914113295901364508 y1[1] (numeric) = 1.9825663325460693545945896305702 absolute error = 5.93905220567350005058806e-08 relative error = 2.9956384965611024338506732624852e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.6MB, time=78.99 NO POLE NO POLE x[1] = 0.188 y2[1] (analytic) = 1.1868945100979407085555456236643 y2[1] (numeric) = 1.1868964671753332789188557173302 absolute error = 1.9570773925703633100936659e-06 relative error = 0.00016489059271231006833537300162166 % h = 0.001 y1[1] (analytic) = 1.9823799886475959453797139518383 y1[1] (numeric) = 1.9823799273258376218461456576371 absolute error = 6.13217583235335682942012e-08 relative error = 3.0933402614383747594776487338716e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.6MB, time=79.47 NO POLE NO POLE x[1] = 0.189 y2[1] (analytic) = 1.187876796475611052880132617919 y2[1] (numeric) = 1.1878788061596101087547492977148 absolute error = 2.0096839990558746166797958e-06 relative error = 0.00016918286517747773316353413354143 % h = 0.001 y1[1] (analytic) = 1.9821926029786936968302175205875 y1[1] (numeric) = 1.9821925396736477031843045863939 absolute error = 6.33050459936459129341936e-08 relative error = 3.1936879341853930713991219040429e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.6MB, time=79.94 NO POLE NO POLE x[1] = 0.19 y2[1] (analytic) = 1.1888588949765005779928511529813 y2[1] (numeric) = 1.1888609583923333683490279453263 absolute error = 2.0634158327903561767923450e-06 relative error = 0.0001735627198071426645436261613035 % h = 0.001 y1[1] (analytic) = 1.9820042351172703189678775041899 y1[1] (numeric) = 1.9820041697757689234801845055293 absolute error = 6.53415013954876929986606e-08 relative error = 3.2967387373731619178808422455917e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=644.6MB, alloc=4.6MB, time=80.41 NO POLE NO POLE x[1] = 0.191 y2[1] (analytic) = 1.189840804618510864845715128875 y2[1] (numeric) = 1.1898429229093598886088305987205 absolute error = 2.1182908490237631154698455e-06 relative error = 0.00017803145099759238448568631440858 % h = 0.001 y1[1] (analytic) = 1.9818148852516936575187505029481 y1[1] (numeric) = 1.9818148178194349393775607641487 absolute error = 6.74322587181411897387994e-08 relative error = 3.4025508244972731204250598765071e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=648.5MB, alloc=4.6MB, time=80.89 x[1] = 0.192 y2[1] (analytic) = 1.1908225244197323532542384660668 y2[1] (numeric) = 1.1908246987469253593029686469834 absolute error = 2.1743271930060487301809166e-06 relative error = 0.00018259036492995138330495081516567 % h = 0.001 y1[1] (analytic) = 1.9816245535713135622803430272392 y1[1] (numeric) = 1.9816244839928433614250377380135 absolute error = 6.95784702008553052892257e-08 relative error = 3.5111832902685799006346950160650e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.193 y2[1] (analytic) = 1.1918040533984453238069134641578 y2[1] (numeric) = 1.1918062849416463109713373731756 absolute error = 2.2315432009871644239090178e-06 relative error = 0.00018724077960834995526734784687889 % h = 0.001 y1[1] (analytic) = 1.9814332402664616977717774791618 y1[1] (numeric) = 1.9814331684851553742262166720409 absolute error = 7.17813063235455608071209e-08 relative error = 3.6226961809670894114102299646336e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=652.3MB, alloc=4.6MB, time=81.35 NO POLE NO POLE x[1] = 0.194 y2[1] (analytic) = 1.1927853905731208795848484034179 y2[1] (numeric) = 1.1927876805305220966444845195232 absolute error = 2.2899574012170596361161053e-06 relative error = 0.00019198402489795411595027637899019 % h = 0.001 y1[1] (analytic) = 1.9812409455284513529021434943852 y1[1] (numeric) = 1.9812408714864953546080489509774 absolute error = 7.40419559982940945434078e-08 relative error = 3.7371505048592195403315757986971e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.6MB, time=81.82 NO POLE NO POLE x[1] = 0.195 y2[1] (analytic) = 1.1937665349624219276905826696054 y2[1] (numeric) = 1.1937688845509368733723541987606 absolute error = 2.3495885149456817715291552e-06 relative error = 0.00019682144256285786027130206202443 % h = 0.001 y1[1] (analytic) = 1.9810476695495772496572249758333 y1[1] (numeric) = 1.981047593187950487807565132027 absolute error = 7.63616267618496598438063e-08 relative error = 3.8546082426785667558125145154881e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.6MB, time=82.30 NO POLE NO POLE x[1] = 0.196 y2[1] (analytic) = 1.1947474855852041605850978733388 y2[1] (numeric) = 1.1947498960406615835612245656697 absolute error = 2.4104554574229761266923309e-06 relative error = 0.00020175438630383901280020975593506 % h = 0.001 y1[1] (analytic) = 1.9808534125231153508047941324606 y1[1] (numeric) = 1.9808533337815703816771710548973 absolute error = 7.87415449691276230775633e-08 relative error = 3.9751323581703326716013289060428e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.6MB, time=82.77 NO POLE NO POLE x[1] = 0.197 y2[1] (analytic) = 1.1957282414605170372320436270931 y2[1] (numeric) = 1.1957307140378559361178578534691 absolute error = 2.4725773388988858142263760e-06 relative error = 0.00020678422179597991468265333906057 % h = 0.001 y1[1] (analytic) = 1.980658174643322666618664817809 y1[1] (numeric) = 1.9806580934603666789087033262163 absolute error = 8.11829559877099614915927e-08 relative error = 4.0987868086995579124524205843596e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.6MB, time=83.25 NO POLE NO POLE x[1] = 0.198 y2[1] (analytic) = 1.1967088016076047640481968356735 y2[1] (numeric) = 1.1967113375810703873998815712725 absolute error = 2.5359734656233516847355990e-06 relative error = 0.00021191232672615418426609414620072 % h = 0.001 y1[1] (analytic) = 1.9804619561054370606216984442784 y1[1] (numeric) = 1.9804618724183126672764374565739 absolute error = 8.36871243933452609877045e-08 relative error = 4.2256365559233127733246387303068e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=671.4MB, alloc=4.6MB, time=83.72 NO POLE NO POLE x[1] = 0.199 y2[1] (analytic) = 1.1976891650459072756591735497928 y2[1] (numeric) = 1.1976917657092481219714198513678 absolute error = 2.6006633408463122463015750e-06 relative error = 0.00021714009083038078133047920379388 % h = 0.001 y1[1] (analytic) = 1.9802647571056770543479567300861 y1[1] (numeric) = 1.9802646708503428878992429095473 absolute error = 8.62553341664487138205388e-08 relative error = 4.3557475765269950762867896280279e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.6MB, time=84.20 NO POLE NO POLE x[1] = 0.2 y2[1] (analytic) = 1.1986693307950612154594126271184 y2[1] (numeric) = 1.1986719974617270331629941285607 absolute error = 2.6666666658177035815014423e-06 relative error = 0.00022246891593104659768684365745924 % h = 0.001 y1[1] (analytic) = 1.9800665778412416311241965167482 y1[1] (numeric) = 1.9800664889523527415220803029872 absolute error = 8.88888888896021162137610e-08 relative error = 4.4891868730248865434443991263539e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=679.0MB, alloc=4.6MB, time=84.67 x[1] = 0.201 y2[1] (analytic) = 1.1996492978749009159754506408903 y2[1] (numeric) = 1.1996520318782417034347125282791 absolute error = 2.7340033407874592618873888e-06 relative error = 0.00022790021597399878981639107387388 % h = 0.001 y1[1] (analytic) = 1.979867418510310038870902875571 y1[1] (numeric) = 1.9798673269211980928170369835593 absolute error = 9.15891119460538658920117e-08 relative error = 4.6260224846251199206584722700953e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.202 y2[1] (analytic) = 1.2006290653054593790315076729148 y2[1] (numeric) = 1.2006318679989253845417675355519 absolute error = 2.8026934660055102598626371e-06 relative error = 0.00023343541706550806218028097482322 % h = 0.001 y1[1] (analytic) = 1.9796672793120415919230577021024 y1[1] (numeric) = 1.9796671849546948727040981760631 absolute error = 9.43573467192189595260393e-08 relative error = 4.7663234981592100056213804415036e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.6MB, time=85.15 NO POLE NO POLE x[1] = 0.203 y2[1] (analytic) = 1.2016086321069692557164038254306 y2[1] (numeric) = 1.2016115048643119775012617133489 absolute error = 2.8727573427217848578879183e-06 relative error = 0.00023907595750910410283600257781286 % h = 0.001 y1[1] (analytic) = 1.9794661604465754718708419777594 y1[1] (numeric) = 1.9794660632516186786918518893797 absolute error = 9.71949567931789900883797e-08 relative error = 4.9101600590763026550019975183323e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.6MB, time=85.67 NO POLE NO POLE x[1] = 0.204 y2[1] (analytic) = 1.2025879972998638261508264850126 y2[1] (numeric) = 1.2025909415153380123593814361061 absolute error = 2.9442154741862085549510935e-06 relative error = 0.00024482328784228436604951150153707 % h = 0.001 y1[1] (analytic) = 1.979264062115030527420470857911 y1[1] (numeric) = 1.9792639620117043732383267410318 absolute error = 1.001033261541821441168792e-07 relative error = 5.0576033825022967688861737089178e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.6MB, time=86.16 NO POLE NO POLE x[1] = 0.205 y2[1] (analytic) = 1.2035671599047779790539685713266 y2[1] (numeric) = 1.2035701769933446277579388025558 absolute error = 3.0170885666487039702312292e-06 relative error = 0.00025067887087309738969292624057107 % h = 0.001 y1[1] (analytic) = 1.9790609845195050732753617255673 y1[1] (numeric) = 1.9790608814356456801321628422764 absolute error = 1.030838593931431988832909e-07 relative error = 5.2087257643639951766346924116355e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=694.2MB, alloc=4.6MB, time=86.64 NO POLE NO POLE x[1] = 0.206 y2[1] (analytic) = 1.2045461189425491911085582041808 y2[1] (numeric) = 1.2045492103400795502993020912359 absolute error = 3.0913975303591907438870551e-06 relative error = 0.0002566441817166018283652005708632 % h = 0.001 y1[1] (analytic) = 1.9788569278630766880378363294873 y1[1] (numeric) = 1.9788568217250947788943168653849 absolute error = 1.061379819091435194641024e-07 relative error = 5.3636005925784412765733328650867e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=698.1MB, alloc=4.6MB, time=87.13 NO POLE NO POLE x[1] = 0.207 y2[1] (analytic) = 1.2055248734342185061233004239223 y2[1] (numeric) = 1.2055280405976990737087353222677 absolute error = 3.1671634805675854348983454e-06 relative error = 0.00026272070783120237636748766551688 % h = 0.001 y1[1] (analytic) = 1.9786518923498020111315591049884 y1[1] (numeric) = 1.9786517830826618972005033943032 absolute error = 1.092671401139310557106852e-07 relative error = 5.5223023583075992126339978164812e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.6MB, time=87.60 NO POLE NO POLE x[1] = 0.208 y2[1] (analytic) = 1.206503422401031513991751802823 y2[1] (numeric) = 1.206506666808770037793167690164 absolute error = 3.2444077385238014158873410e-06 relative error = 0.00026890994905486374790557141444757 % h = 0.001 y1[1] (analytic) = 1.9784458781847165387449147550011 y1[1] (numeric) = 1.9784457657119149013245756392204 absolute error = 1.124728016374203391157807e-07 relative error = 5.6849066672785363041962829144026e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.6MB, time=88.07 NO POLE NO POLE x[1] = 0.209 y2[1] (analytic) = 1.2074817648644393294466489886571 y2[1] (numeric) = 1.2074850880162718071954138345599 absolute error = 3.3231518324777487648459028e-06 relative error = 0.00027521341764120387517844736968983 % h = 0.001 y1[1] (analytic) = 1.9782388855738344187955291479752 y1[1] (numeric) = 1.9782387698173788846030495747075 absolute error = 1.157564555341924795732677e-07 relative error = 5.8514902511692673809509858962598e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=709.5MB, alloc=4.6MB, time=88.54 x[1] = 0.21 y2[1] (analytic) = 1.2084598998460995706087124262276 y2[1] (numeric) = 1.2084633032635982499428661188491 absolute error = 3.4034174986793341536926215e-06 relative error = 0.00028163263829546747834457376318944 % h = 0.001 y1[1] (analytic) = 1.9780309147241482449161385680994 y1[1] (numeric) = 1.9780307956045357539209765400213 absolute error = 1.191196124909951620280781e-07 relative error = 6.0221309790604216126351695973783e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.211 y2[1] (analytic) = 1.2094378263678773373289467081163 y2[1] (numeric) = 1.2094413115945597157896802907537 absolute error = 3.4852266823784607335826374e-06 relative error = 0.00028816914821038115473517372223858 % h = 0.001 y1[1] (analytic) = 1.9778219658436288494620133319462 y1[1] (numeric) = 1.9778218432798238142193703188946 absolute error = 1.225638050352426430130516e-07 relative error = 6.1969078689528933639880643573601e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.6MB, time=89.01 NO POLE NO POLE x[1] = 0.212 y2[1] (analytic) = 1.2104155434518461893234592124401 y2[1] (numeric) = 1.2104191120533850143514761038596 absolute error = 3.5686015388250280168914195e-06 relative error = 0.00029482449710189112810694236056364 % h = 0.001 y1[1] (analytic) = 1.977612039141225095540142764105 y1[1] (numeric) = 1.977611913050637351024395694659 absolute error = 1.260905877445157470694460e-07 relative error = 6.3759010993516395482633706918523e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.6MB, time=89.48 NO POLE NO POLE x[1] = 0.213 y2[1] (analytic) = 1.2113930501202891240998188928769 y2[1] (numeric) = 1.2113967036847233930315746851097 absolute error = 3.6535644342689317557922328e-06 relative error = 0.00030160024724478479219429177095498 % h = 0.001 y1[1] (analytic) = 1.9774011348268636680603895025966 y1[1] (numeric) = 1.9774010051253262109985264548641 absolute error = 1.297015374570618630477325e-07 relative error = 6.5591920209157868981207853311238e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.6MB, time=89.95 NO POLE NO POLE x[1] = 0.214 y2[1] (analytic) = 1.212370345395699554673977294682 y2[1] (numeric) = 1.2123740855336465147377946401624 absolute error = 3.7401379469600638173454804e-06 relative error = 0.00030849797350819717633354845245808 % h = 0.001 y1[1] (analytic) = 1.9771892531114488638088220829006 y1[1] (numeric) = 1.9771891197131953805138817976679 absolute error = 1.333982534832949402852327e-07 relative error = 6.7468631681752135207243880096106e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.6MB, time=90.43 NO POLE NO POLE x[1] = 0.215 y2[1] (analytic) = 1.2133474283007822870767740798571 y2[1] (numeric) = 1.2133512566456504353888290963969 absolute error = 3.8283448681483120550165398e-06 relative error = 0.0003155192633910034544879991987012 % h = 0.001 y1[1] (analytic) = 1.9769763942068623805434357272442 y1[1] (numeric) = 1.9769762570245045622479510701785 absolute error = 1.371823578182954846570657e-07 relative error = 6.9389982713137700544115946727152e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.6MB, time=90.90 NO POLE NO POLE x[1] = 0.216 y2[1] (analytic) = 1.2143242978584544976490495550473 y2[1] (numeric) = 1.2143282160666575812092260921718 absolute error = 3.9182082030835601765371245e-06 relative error = 0.0003226657170570986126030635621495 % h = 0.001 y1[1] (analytic) = 1.9767625583259631051124722434151 y1[1] (numeric) = 1.9767624172704677498019177466226 absolute error = 1.410554953553105544967925e-07 relative error = 7.1356822680193066973801253048588e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.6MB, time=91.37 NO POLE NO POLE x[1] = 0.217 y2[1] (analytic) = 1.2153009530918467101243869071349 y2[1] (numeric) = 1.2153049628430187258119949307277 absolute error = 4.0097511720156876080235928e-06 relative error = 0.00032993894737056538286485620285464 % h = 0.001 y1[1] (analytic) = 1.9765477456825869005955509147589 y1[1] (numeric) = 1.9765476006632528003417945317023 absolute error = 1.450193341002537563830566e-07 relative error = 7.3370013154006733344864554666885e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=736.2MB, alloc=4.6MB, time=91.84 x[1] = 0.218 y2[1] (analytic) = 1.2162773930243037724985070638692 y2[1] (numeric) = 1.2162814960215149670678613278606 absolute error = 4.1029972111945693542639914e-06 relative error = 0.00033734057993073154712269506324724 % h = 0.001 y1[1] (analytic) = 1.976331956491546392467823240215 y1[1] (numeric) = 1.9763318074159810052625824517794 absolute error = 1.490755653872052407884356e-07 relative error = 7.5430428019718609464734630549770e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.219 y2[1] (analytic) = 1.2172536166793858336843393102186 y2[1] (numeric) = 1.2172578146493597037601943941833 absolute error = 4.1979699738700758550839647e-06 relative error = 0.00034487225310711770546641845394838 % h = 0.001 y1[1] (analytic) = 1.9761151909686307537873653602166 y1[1] (numeric) = 1.9761150377427266588756677735904 absolute error = 1.532259040949116975866262e-07 relative error = 7.7538953597034534467622352612894e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.6MB, time=92.31 NO POLE NO POLE x[1] = 0.22 y2[1] (analytic) = 1.218229623080869319951791005457 y2[1] (numeric) = 1.2182339177742006120246287054375 absolute error = 4.2946933312920728376999805e-06 relative error = 0.00035253561807427659972240469773611 % h = 0.001 y1[1] (analytic) = 1.9758974493306054894060229810447 y1[1] (numeric) = 1.9758972918585166251196715670479 absolute error = 1.574720888642863514139968e-07 relative error = 7.9696488761415600543693695058927e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.6MB, time=92.79 NO POLE NO POLE x[1] = 0.221 y2[1] (analytic) = 1.2192054112527479111512399612945 y2[1] (numeric) = 1.2192098044441216215724049279166 absolute error = 4.3931913737104211649666221e-06 relative error = 0.00036033233884652507544765333935282 % h = 0.001 y1[1] (analytic) = 1.9756787317952122192039245867742 y1[1] (numeric) = 1.9756785699793299022949677053262 absolute error = 1.618158823169089568814480e-07 relative error = 8.1903945065943992775616081693007e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=747.6MB, alloc=4.6MB, time=93.27 NO POLE NO POLE x[1] = 0.222 y2[1] (analytic) = 1.220180980219233516719773257642 y2[1] (numeric) = 1.2201854737076448916964526806093 absolute error = 4.4934884113749766794229673e-06 relative error = 0.00036826409231256975985889965696274 % h = 0.001 y1[1] (analytic) = 1.9754590385811684603478797042797 y1[1] (numeric) = 1.9754588723220971858220860718514 absolute error = 1.662590712745257936324283e-07 relative error = 8.4162246863867065515501977388569e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=751.5MB, alloc=4.6MB, time=93.74 NO POLE NO POLE x[1] = 0.223 y2[1] (analytic) = 1.221156329004757251469196489853 y2[1] (numeric) = 1.221160924613732787059239531178 absolute error = 4.5956089755355900430413250e-06 relative error = 0.00037633256827002752703321035911966 % h = 0.001 y1[1] (analytic) = 1.975238369908167408573879962885 y1[1] (numeric) = 1.9752381991047004290242187200303 absolute error = 1.708034669795496612428547e-07 relative error = 8.6472331431821385448733051269207e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.6MB, time=94.22 NO POLE NO POLE x[1] = 0.224 y2[1] (analytic) = 1.2221314566339704111548376595133 y2[1] (numeric) = 1.2221361562117898532614102393397 absolute error = 4.6995778194421065725798264e-06 relative error = 0.00038453946945984181565756506040782 % h = 0.001 y1[1] (analytic) = 1.9750167259968777184939216661375 y1[1] (numeric) = 1.975016550545972401934047707544 absolute error = 1.754509053165598739585935e-07 relative error = 8.8835149093738481231322286594500e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.6MB, time=94.69 NO POLE NO POLE x[1] = 0.225 y2[1] (analytic) = 1.2231063621317454478241701400572 y2[1] (numeric) = 1.2231111675516647921902405786245 absolute error = 4.8054199193443660704385673e-06 relative error = 0.00039288651160059585858728466972983 % h = 0.001 y1[1] (analytic) = 1.9747941070689432829273695688655 y1[1] (numeric) = 1.9747939268656962481251143028128 absolute error = 1.802032470348022552660527e-07 relative error = 9.1251663345434049354510941543961e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=762.9MB, alloc=4.6MB, time=95.16 NO POLE NO POLE x[1] = 0.226 y2[1] (analytic) = 1.2240810445231769449442793686679 y2[1] (numeric) = 1.224085957683652437146930285843 absolute error = 4.9131604754922026509171751e-06 relative error = 0.00040137542342272387749654611936553 % h = 0.001 y1[1] (analytic) = 1.9745705133469830112570825281373 y1[1] (numeric) = 1.9745703282846050395679502367972 absolute error = 1.850623779716891322913401e-07 relative error = 9.3722850979882375684368231718378e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=766.7MB, alloc=4.6MB, time=95.63 x[1] = 0.227 y2[1] (analytic) = 1.2250555028335825923071981370765 y2[1] (numeric) = 1.2250605256584957277517599069029 absolute error = 5.0228249131354445617698264e-06 relative error = 0.00041000794670262128996834631130059 % h = 0.001 y1[1] (analytic) = 1.9743459450545906068105226719777 y1[1] (numeric) = 1.9743457550243813295111926486404 absolute error = 1.900302092772993300233373e-07 relative error = 9.6249702213177741945415660205692e-06 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.228 y2[1] (analytic) = 1.2260297360885041607121355760063 y2[1] (numeric) = 1.226034870527387684626136527872 absolute error = 5.1344388835239140009518657e-06 relative error = 0.00041878583629665497047587214334401 % h = 0.001 y1[1] (analytic) = 1.9741204024163343432660707047136 y1[1] (numeric) = 1.9741202073076567033879053487814 absolute error = 1.951086776398781653559322e-07 relative error = 9.8833220811184596265895391598091e-06 % h = 0.001 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.6MB, time=96.12 NO POLE NO POLE x[1] = 0.229 y2[1] (analytic) = 1.2270037433137084764236251511138 y2[1] (numeric) = 1.2270089913419733838505536013942 absolute error = 5.2480282649074269284502804e-06 relative error = 0.00042771086017507460085202626476888 % h = 0.001 y1[1] (analytic) = 1.9738938856577568400847709426156 y1[1] (numeric) = 1.9738936853580113277473299980657 absolute error = 2.002997455123374409445499e-07 relative error = 1.0147442421687827677840670113295e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=774.4MB, alloc=4.6MB, time=96.59 NO POLE NO POLE x[1] = 0.23 y2[1] (analytic) = 1.2279775235351883954046172123601 y2[1] (numeric) = 1.2279828871543519311974903007203 absolute error = 5.3636191635357928730883602e-06 relative error = 0.00043678479945582614002857844390852 % h = 0.001 y1[1] (analytic) = 1.9736663950053748369677306480716 y1[1] (numeric) = 1.9736661893999734972122917760613 absolute error = 2.056054013397554388720103e-07 relative error = 1.0417434367837808717339926939129e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.6MB, time=97.06 NO POLE NO POLE x[1] = 0.231 y2[1] (analytic) = 1.2289510757791637773235418638014 y2[1] (numeric) = 1.2289565570170784361382760567221 absolute error = 5.4812379146588147341929207e-06 relative error = 0.00044600944843826843705079256717105 % h = 0.001 y1[1] (analytic) = 1.9734379306866789673393992048733 y1[1] (numeric) = 1.9734377196590191794624850862428 absolute error = 2.110276597878769141186305e-07 relative error = 1.0693402437767453303460261906789e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.6MB, time=97.53 NO POLE NO POLE x[1] = 0.232 y2[1] (analytic) = 1.2299243990720824593343681468164 y2[1] (numeric) = 1.2299299999831659856229461573135 absolute error = 5.6009110835262885780104971e-06 relative error = 0.00045538661463679400563715252206824 % h = 0.001 y1[1] (analytic) = 1.9732084929301335308569536513194 y1[1] (numeric) = 1.9732082763615715582438658199403 absolute error = 2.165685619726130878313791e-07 relative error = 1.0975452556005253774504719932770e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=785.8MB, alloc=4.6MB, time=98.00 NO POLE NO POLE x[1] = 0.233 y2[1] (analytic) = 1.2308974924406212296286857567934 y2[1] (numeric) = 1.2309032151060876176321145137021 absolute error = 5.7226654663880034287569087e-06 relative error = 0.00046491811881435497285671158036923 % h = 0.001 y1[1] (analytic) = 1.9729780819651762649460180617296 y1[1] (numeric) = 1.9729778597350005744043776749567 absolute error = 2.222301756905416403867729e-07 relative error = 1.1263692066421246674005363746545e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.6MB, time=98.47 NO POLE NO POLE x[1] = 0.234 y2[1] (analytic) = 1.2318703549116868007588357412751 y2[1] (numeric) = 1.2318762014397782944998899238464 absolute error = 5.8465280914937410541825713e-06 relative error = 0.0004746057950158952088383578696338 % h = 0.001 y1[1] (analytic) = 1.972746698022218115362945240631 y1[1] (numeric) = 1.9727464700076224649562409985404 absolute error = 2.280145956504067042420906e-07 relative error = 1.1558229745309079889959779152691e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.6MB, time=98.94 NO POLE NO POLE x[1] = 0.235 y2[1] (analytic) = 1.2328429855124167827311168565134 y2[1] (numeric) = 1.2328489580386368760068623903895 absolute error = 5.9725262200932757455338761e-06 relative error = 0.00048445149060168963880666110176067 % h = 0.001 y1[1] (analytic) = 1.9725143413326430057838901673172 y1[1] (numeric) = 1.9725141074086993001650335979567 absolute error = 2.339239437056188565693605e-07 relative error = 1.1859175814538229391696189130148e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=797.2MB, alloc=4.6MB, time=99.40 x[1] = 0.236 y2[1] (analytic) = 1.2338153832701806558680944893074 y2[1] (numeric) = 1.2338214839575280922421862781825 absolute error = 6.1006873474363740917888751e-06 relative error = 0.00049445706628059173315768536443234 % h = 0.001 y1[1] (analytic) = 1.9722810121288076064209056016861 y1[1] (numeric) = 1.9722807721684385186657939352297 absolute error = 2.399603690877551116664564e-07 relative error = 1.2166641954776551455371768487940e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.237 y2[1] (analytic) = 1.2347875472125807434390392818975 y2[1] (numeric) = 1.2347937782517845162337873253017 absolute error = 6.2310392037727947480434042e-06 relative error = 0.00050462439614319016574496178302078 % h = 0.001 y1[1] (analytic) = 1.9720467106440411016652912352422 y1[1] (numeric) = 1.9720464645179924606063780957272 absolute error = 2.461260486410589131395150e-07 relative error = 1.2480741318783357279302348162255e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=801.1MB, alloc=4.6MB, time=99.87 NO POLE NO POLE x[1] = 0.238 y2[1] (analytic) = 1.2357594763674531840575228295574 y2[1] (numeric) = 1.2357658399772085363457207511964 absolute error = 6.3636097553522881979216390e-06 relative error = 0.00051495536769487562504045845669834 % h = 0.001 y1[1] (analytic) = 1.9718114371126449567584287438953 y1[1] (numeric) = 1.9718111846894578988183028931328 absolute error = 2.524231870579401258507625e-07 relative error = 1.2801588544773197903411428672180e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.6MB, time=100.35 NO POLE NO POLE x[1] = 0.239 y2[1] (analytic) = 1.2367311697628689038451980533704 y2[1] (numeric) = 1.236737668190074328441707936285 absolute error = 6.4984272054245965098829146e-06 relative error = 0.00052545188188881875736761011389121 % h = 0.001 y1[1] (analytic) = 1.9715751917698926834903360717 y1[1] (numeric) = 1.9715749329158755680153084459898 absolute error = 2.588540171154750276257102e-07 relative error = 1.3129299769850548363088897043440e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.6MB, time=100.81 NO POLE NO POLE x[1] = 0.24 y2[1] (analytic) = 1.2377026264271345883607920844898 y2[1] (numeric) = 1.2377092619471298278138793789426 absolute error = 6.6355199952394530872944528e-06 relative error = 0.00053611585315886021597302538720764 % h = 0.001 y1[1] (analytic) = 1.9713379748520296049261752469634 y1[1] (numeric) = 1.9713377094312296920198745334119 absolute error = 2.654207999129063007135515e-07 relative error = 1.3463992643515581026681749305299e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=812.5MB, alloc=4.6MB, time=101.28 NO POLE NO POLE x[1] = 0.241 y2[1] (analytic) = 1.2386738453887936542933397309712 y2[1] (numeric) = 1.238680620305598700875751868389 absolute error = 6.7749168050465824121374178e-06 relative error = 0.00054694920945231378431012518157098 % h = 0.001 y1[1] (analytic) = 1.9710997865962726191609490041922 y1[1] (numeric) = 1.9710995144704475090179260097339 absolute error = 2.721258251101430229944583e-07 relative error = 1.3805786341241219087716684993898e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.6MB, time=101.76 NO POLE NO POLE x[1] = 0.242 y2[1] (analytic) = 1.2396448256766272209186858340254 y2[1] (numeric) = 1.2396517423231823166184680455023 absolute error = 6.9166465550956997822114769e-06 relative error = 0.00055795389226268353655143462730333 % h = 0.001 y1[1] (analytic) = 1.9708606272408099621026224571645 y1[1] (numeric) = 1.9708603482693987948419635298192 absolute error = 2.789714111672606589273453e-07 relative error = 1.4154801578121662207794925913724e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.6MB, time=102.23 NO POLE NO POLE x[1] = 0.243 y2[1] (analytic) = 1.2406155663196550813182850572694 y2[1] (numeric) = 1.2406226270580617178293267580358 absolute error = 7.0607384066365110417007664e-06 relative error = 0.00056913185666229599302630695761527 % h = 0.001 y1[1] (analytic) = 1.9706204970248009692839070399837 y1[1] (numeric) = 1.9706202110648953842828568084533 absolute error = 2.859599055850010502315304e-07 relative error = 1.4511160622592577333918941842217e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=823.9MB, alloc=4.6MB, time=102.71 x[1] = 0.244 y2[1] (analytic) = 1.2415860663471366733593278902572 y2[1] (numeric) = 1.2415932735688995920716328521163 absolute error = 7.2072217629187123049618591e-06 relative error = 0.00058048507133484822299725660170241 % h = 0.001 y1[1] (analytic) = 1.9703793961883758367029449043108 y1[1] (numeric) = 1.970379103094690690430538608727 absolute error = 2.930936851462724062955838e-07 relative error = 1.4874987310223148744826504710990e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.245 y2[1] (analytic) = 1.2425563247885720504352218862454 y2[1] (numeric) = 1.2425636809148422424248952782412 absolute error = 7.3561262701919896733919958e-06 relative error = 0.00059201551860787284194057833003031 % h = 0.001 y1[1] (analytic) = 1.9701373249726353806931329320715 y1[1] (numeric) = 1.9701370245974792220438386255542 absolute error = 3.003751561586492943065173e-07 relative error = 1.5246407057580182414735959070231e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.6MB, time=103.17 NO POLE NO POLE x[1] = 0.246 y2[1] (analytic) = 1.2435263406737028519654573937924 y2[1] (numeric) = 1.2435338481555215579844026272765 absolute error = 7.5074818187060189452334841e-06 relative error = 0.00060372519448512084528528930606919 % h = 0.001 y1[1] (analytic) = 1.9698942836196507968223264937931 y1[1] (numeric) = 1.9698939758128960989496974014713 absolute error = 3.078067546978726290923218e-07 relative error = 1.5625546876164460819764842806971e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.6MB, time=103.64 NO POLE NO POLE x[1] = 0.247 y2[1] (analytic) = 1.2444961130325132736538872824077 y2[1] (numeric) = 1.2445037743510569841192054501789 absolute error = 7.6613185437104653181677712e-06 relative error = 0.00061561610867886321538841160417348 % h = 0.001 y1[1] (analytic) = 1.9696502723724634178216640533481 y1[1] (numeric) = 1.9696499569815165654720013826316 absolute error = 3.153909468523496626707165e-07 relative error = 1.6012535386419545352189043848974e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=835.4MB, alloc=4.6MB, time=104.11 NO POLE NO POLE x[1] = 0.248 y2[1] (analytic) = 1.2454656408952310375044504040511 y2[1] (numeric) = 1.2454734585620574924875349543325 absolute error = 7.8176668264549830845502814e-06 relative error = 0.00062769028464211223338397855257622 % h = 0.001 y1[1] (analytic) = 1.9694052914750844705442546902599 y1[1] (numeric) = 1.9694049683448555018902811934345 absolute error = 3.231302289686539734968254e-07 relative error = 1.6407502831813224550678428487924e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.6MB, time=104.60 NO POLE NO POLE x[1] = 0.249 y2[1] (analytic) = 1.2464349232923283615933687748402 y2[1] (numeric) = 1.2464428998496235508086879094947 absolute error = 7.9765572951892153191346545e-06 relative error = 0.00063994975960076342243766228263524 % h = 0.001 y1[1] (analytic) = 1.9691593411724948319539715808613 y1[1] (numeric) = 1.9691590101453669339285161785161 absolute error = 3.310271278980254554023452e-07 relative error = 1.6810581092991807400694389148244e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.6MB, time=105.08 NO POLE NO POLE x[1] = 0.25 y2[1] (analytic) = 1.2474039592545229295968487048494 y2[1] (numeric) = 1.2474120972753490923904078373899 absolute error = 8.1380208261627935591325405e-06 relative error = 0.00065239658458565904386834946881964 % h = 0.001 y1[1] (analytic) = 1.9689124217106447841445954494942 y1[1] (numeric) = 1.9689120826264435402742892308753 absolute error = 3.390842012438703062186189e-07 relative error = 1.7221903702007462008382437792406e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.6MB, time=105.56 NO POLE NO POLE x[1] = 0.251 y2[1] (analytic) = 1.2483727478127788600733163483794 y2[1] (numeric) = 1.2483810499013234854107928009766 absolute error = 8.3020885446253374764525972e-06 relative error = 0.00066503282446457406256210535874749 % h = 0.001 y1[1] (analytic) = 1.9686645333364537683895529705847 y1[1] (numeric) = 1.9686641860324161581285368947131 absolute error = 3.473040376102610160758716e-07 relative error = 1.7641605856618801003555518768205e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=850.6MB, alloc=4.6MB, time=106.05 NO POLE NO POLE x[1] = 0.252 y2[1] (analytic) = 1.2493412879983076754992183925442 y2[1] (numeric) = 1.2493497567901335019537603523341 absolute error = 8.4687918258264545419597899e-06 relative error = 0.00067786055797412549310253171894224 % h = 0.001 y1[1] (analytic) = 1.9684156762978101382224960718362 y1[1] (numeric) = 1.9684153206085532867861407011273 absolute error = 3.556892568514363553707089e-07 relative error = 1.8069824434664916082758880854469e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=854.5MB, alloc=4.6MB, time=106.52 x[1] = 0.253 y2[1] (analytic) = 1.2503095788425692710574188484538 y2[1] (numeric) = 1.2503182170048652867971004419781 absolute error = 8.6381622960157396815935243e-06 relative error = 0.00069088187775160603307431511477654 % h = 0.001 y1[1] (analytic) = 1.9681658508435709115489690579392 y1[1] (numeric) = 1.9681654866010605892476066641217 absolute error = 3.642425103223013623938175e-07 relative error = 1.8506698008513065161952125779761e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.254 y2[1] (analytic) = 1.2512776193772728831772231566772 y2[1] (numeric) = 1.2512864296091063259521473372145 absolute error = 8.8102318334427749241805373e-06 relative error = 0.00070409889036674288506354966336901 % h = 0.001 y1[1] (analytic) = 1.9679150572235615217894114431114 y1[1] (numeric) = 1.9679146842570803918620808334662 absolute error = 3.729664811299273306096452e-07 relative error = 1.8952366859580216670055976946943e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.6MB, time=106.98 NO POLE NO POLE x[1] = 0.255 y2[1] (analytic) = 1.252245408634378057825061067043 y2[1] (numeric) = 1.2522543936669474149541018428764 absolute error = 8.9850325693571290407758334e-06 relative error = 0.00071751371635338266397897838233879 % h = 0.001 y1[1] (analytic) = 1.9676632956885755680537453494437 y1[1] (numeric) = 1.9676629138246911820019497697719 absolute error = 3.818638843860517955796718e-07 relative error = 1.9406972992928656579507743354606e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.6MB, time=107.46 NO POLE NO POLE x[1] = 0.256 y2[1] (analytic) = 1.2532129456460956185448600021744 y2[1] (numeric) = 1.2532221082429846269020353644644 absolute error = 9.1625968890083571753622900e-06 relative error = 0.00073112849024110328145240610771511 % h = 0.001 y1[1] (analytic) = 1.9674105664903745643477972964435 y1[1] (numeric) = 1.9674101755529071037692757757292 absolute error = 3.909374674605785215207143e-07 relative error = 1.9870660151935864838067940235246e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.6MB, time=107.93 NO POLE NO POLE x[1] = 0.257 y2[1] (analytic) = 1.2541802294448886342471408644664 y2[1] (numeric) = 1.2541895724023212802476076013205 absolute error = 9.3429574326460004667368541e-06 relative error = 0.0007449453605867536942439719164778 % h = 0.001 y1[1] (analytic) = 1.967156869881687687811805175334 y1[1] (numeric) = 1.9671564696916774517343176857945 absolute error = 4.001900102360774874895395e-07 relative error = 2.0343573833038868937438647625719e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.6MB, time=108.40 NO POLE NO POLE x[1] = 0.258 y2[1] (analytic) = 1.2551472590634733867458684974902 y2[1] (numeric) = 1.2551567852105699063315299060112 absolute error = 9.5261470965195856614085210e-06 relative error = 0.00075896649000592239877851005987032 % h = 0.001 y1[1] (analytic) = 1.9669022061162115259912621695806 y1[1] (numeric) = 1.9669017964918861627063889846964 absolute error = 4.096243253632848731848842e-07 relative error = 2.0825861300553283428809551669601e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=873.5MB, alloc=4.6MB, time=108.87 NO POLE NO POLE x[1] = 0.259 y2[1] (analytic) = 1.256114033534820338042089265054 y2[1] (numeric) = 1.2561237457338542166668065955787 absolute error = 9.7121990338786247173305247e-06 relative error = 0.00077319405520433554917265692469052 % h = 0.001 y1[1] (analytic) = 1.9666465754486098231403503507787 y1[1] (numeric) = 1.966646156205351305537305992975 absolute error = 4.192432585176030443578037e-07 relative error = 2.1317671601567245273257712249747e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=877.4MB, alloc=4.6MB, time=109.34 NO POLE NO POLE x[1] = 0.26 y2[1] (analytic) = 1.2570805518921550973533884643652 y2[1] (numeric) = 1.257090453038811069967786750734 absolute error = 9.9011466559726143982863688e-06 relative error = 0.00078763024700918557137845936111193 % h = 0.001 y1[1] (analytic) = 1.9663899781345132255582176464501 y1[1] (numeric) = 1.966389549084824568957679825354 absolute error = 4.290496886566005378210961e-07 relative error = 2.1819155580910455996010349098642e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.6MB, time=109.87 NO POLE NO POLE x[1] = 0.261 y2[1] (analytic) = 1.2580468131689593878882005439147 y2[1] (numeric) = 1.2580569061925924389240592904184 absolute error = 1.00930236330510358587465037e-05 relative error = 0.0008022772704003911413677925912398 % h = 0.001 y1[1] (analytic) = 1.9661324144305190259583528434479 y1[1] (numeric) = 1.9661319753839907474463067950853 absolute error = 4.390465282785120460483626e-07 relative error = 2.2330465896198542697953123061689e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=885.0MB, alloc=4.6MB, time=110.39 x[1] = 0.262 y2[1] (analytic) = 1.2590128163989720133640053518554 y2[1] (numeric) = 1.2590231042628673767182243614427 absolute error = 1.02878638953633542190095873e-05 relative error = 0.00081713734454178939061268784383136 % h = 0.001 y1[1] (analytic) = 1.9658738845941909068713142575752 y1[1] (numeric) = 1.9658734353574672251329129044923 absolute error = 4.492367236817384013530829e-07 relative error = 2.2851757032952951065448429568532e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.263 y2[1] (analytic) = 1.2599785606161898242684438967593 y2[1] (numeric) = 1.2599890463178239832865743361336 absolute error = 1.04857016341590181304393743e-05 relative error = 0.00083221270281226119747949002942365 % h = 0.001 y1[1] (analytic) = 1.9656143888840586830810686666656 y1[1] (numeric) = 1.965613929260803457734509028771 absolute error = 4.596232552253465596378946e-07 relative error = 2.3383185319796584610536293004099e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.6MB, time=110.94 NO POLE NO POLE x[1] = 0.264 y2[1] (analytic) = 1.2609440448548686838623873597158 y2[1] (numeric) = 1.2609547314261713713217179650666 absolute error = 1.06865713026874593306053508e-05 relative error = 0.00084750559283679041854940211002477 % h = 0.001 y1[1] (analytic) = 1.9653539275596180430951980707674 y1[1] (numeric) = 1.9653534573504804525256143666889 absolute error = 4.702091375905695837040785e-07 relative error = 2.3924908943725405467943197738307e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.6MB, time=111.47 NO POLE NO POLE x[1] = 0.265 y2[1] (analytic) = 1.2619092681495244339239933547858 y2[1] (numeric) = 1.2619201586571416320161814870482 absolute error = 1.08905076171980921881322624e-05 relative error = 0.00086301827651745790930421550636325 % h = 0.001 y1[1] (analytic) = 1.9650925008813302896492328092017 y1[1] (numeric) = 1.9650920198839102463426066981466 absolute error = 4.809974200433066261110551e-07 relative error = 2.4477087965456213173039047803841e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.6MB, time=111.96 NO POLE NO POLE x[1] = 0.266 y2[1] (analytic) = 1.2628742295349338602327836938334 y2[1] (numeric) = 1.2628853270804918005460207545262 absolute error = 1.10975455579403132370606928e-05 relative error = 0.00087875303006437117907366829353495 % h = 0.001 y1[1] (analytic) = 1.9648301091106220792453705301393 y1[1] (numeric) = 1.9648296171194353816224589546373 absolute error = 4.919911866976229115755020e-07 relative error = 2.5039884334850818945978102659192e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.6MB, time=112.43 NO POLE NO POLE x[1] = 0.267 y2[1] (analytic) = 1.2638389280461356577927781717389 y2[1] (numeric) = 1.2638502357665058212934786895522 absolute error = 1.13077203701635007005178133e-05 relative error = 0.00089471214402653052062970674790471 % h = 0.001 y1[1] (analytic) = 1.9645667525098851607258414739579 y1[1] (numeric) = 1.9645662493163283804761225744526 absolute error = 5.031935567802497188995053e-07 relative error = 2.5613461906416834111754307327765e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=904.1MB, alloc=4.6MB, time=112.90 NO POLE NO POLE x[1] = 0.268 y2[1] (analytic) = 1.2648033627184313957937191489395 y2[1] (numeric) = 1.2648148837859965128077226432985 absolute error = 1.15210675651170140034943590e-05 relative error = 0.00091089792332263245033274738335553 % h = 0.001 y1[1] (analytic) = 1.9643024313424761128811814969892 y1[1] (numeric) = 1.9643019167347912167968190800393 absolute error = 5.146076848960843624169499e-07 relative error = 2.6197986454885292393812666789173e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=907.9MB, alloc=4.6MB, time=113.38 NO POLE NO POLE x[1] = 0.269 y2[1] (analytic) = 1.265767532587386482309421970154 y2[1] (numeric) = 1.2657792702103075325026964909389 absolute error = 1.17376229210501932745207849e-05 relative error = 0.000927312687271811290285641613208 % h = 0.001 y1[1] (analytic) = 1.9640371458727160810936752273647 y1[1] (numeric) = 1.9640366196359547864035022802085 absolute error = 5.262367612946901729471562e-07 relative error = 2.6793625690865326930205699039450e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.6MB, time=113.86 NO POLE NO POLE x[1] = 0.27 y2[1] (analytic) = 1.2667314366888311287322865210205 y2[1] (numeric) = 1.2667433941113153410911225534401 absolute error = 1.19574224842123588360324196e-05 relative error = 0.00094395876962431971953223191973187 % h = 0.001 y1[1] (analytic) = 1.9637708963658905130162327094922 y1[1] (numeric) = 1.963770358281878375219754464939 absolute error = 5.380840121377964782445532e-07 relative error = 2.7400549276576123976084386352218e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.271 y2[1] (analytic) = 1.267695074058861313943005488217 y2[1] (numeric) = 1.2677072545614311667536886984762 absolute error = 1.21805025698528106832102592e-05 relative error = 0.00096083851859214911694895575113823 % h = 0.001 memory used=915.5MB, alloc=4.6MB, time=114.32 y1[1] (analytic) = 1.9635036830882488932869638582654 y1[1] (numeric) = 1.9635031329355491254883809252922 absolute error = 5.501526997677985829329732e-07 relative error = 2.8018928841656376374586587711374e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.272 y2[1] (analytic) = 1.2686584437338397482145051534362 y2[1] (numeric) = 1.2686708506336029690424562342752 absolute error = 1.24068997632208279510808390e-05 relative error = 0.00097795429687959051411970288229064 % h = 0.001 y1[1] (analytic) = 1.9632355063070044772797160084106 y1[1] (numeric) = 1.9632349438608815000219680954755 absolute error = 5.624461229772577479129351e-07 relative error = 2.8648937999051460999949805888101e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=919.3MB, alloc=4.6MB, time=114.80 NO POLE NO POLE x[1] = 0.273 y2[1] (analytic) = 1.2696215447503968368491548173544 y2[1] (numeric) = 1.2696341814013174025175244727282 absolute error = 1.26366509205656683696553738e-05 relative error = 0.000995308481713736972155864981413 % h = 0.001 y1[1] (analytic) = 1.9629663662903340238908408084099 y1[1] (numeric) = 1.9629657913227167444896715783443 absolute error = 5.749676172794011692300656e-07 relative error = 2.9290752360978565501948853742541e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.6MB, time=115.29 NO POLE NO POLE x[1] = 0.274 y2[1] (analytic) = 1.2705843761454316435482812164654 y2[1] (numeric) = 1.270597245938601780115988101543 absolute error = 1.28697931701365677068850776e-05 relative error = 0.001012903464874928192125036975607 % h = 0.001 y1[1] (analytic) = 1.9626962633073775273624576722117 y1[1] (numeric) = 1.9626956755868223477405012796259 absolute error = 5.877205551796219563925858e-07 relative error = 2.9944549554969990809560797507170e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=926.9MB, alloc=4.6MB, time=115.77 NO POLE NO POLE x[1] = 0.275 y2[1] (analytic) = 1.2715469369561128535130245633453 y2[1] (numeric) = 1.2715600433200260362522237696031 absolute error = 1.31063639131827391992062578e-05 relative error = 0.0010307416527271381644829433907101 % h = 0.001 y1[1] (analytic) = 1.9624251976282379481424819654439 y1[1] (numeric) = 1.9624245969198915001633718398757 absolute error = 6.007083464479791101255682e-07 relative error = 3.0610509239994856984108508670966e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=930.8MB, alloc=4.6MB, time=116.26 NO POLE NO POLE x[1] = 0.276 y2[1] (analytic) = 1.2725092262198797362755731095714 y2[1] (numeric) = 1.2725225726207046896485425549947 absolute error = 1.33464008249533729694454233e-05 relative error = 0.0010488254662483066586636753047119 % h = 0.001 y1[1] (analytic) = 1.9621531695239809427816870660775 y1[1] (numeric) = 1.9621525555895425500841875166405 absolute error = 6.139344383926974995494370e-07 relative error = 3.1288813122659441148048612891521e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.6MB, time=116.74 NO POLE NO POLE x[1] = 0.277 y2[1] (analytic) = 1.2734712429744431082598134001431 y2[1] (numeric) = 1.2734848329162988058952452513977 absolute error = 1.35899418556976354318512546e-05 relative error = 0.0010671573410606153497730431237379 % h = 0.001 y1[1] (analytic) = 1.9618801792666345928680704024572 y1[1] (numeric) = 1.9618795518643184582002316325004 absolute error = 6.274023161346678387699568e-07 relative error = 3.1979644973486377355069198481260e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.6MB, time=117.21 NO POLE NO POLE x[1] = 0.278 y2[1] (analytic) = 1.2744329862577862950704336588324 y2[1] (numeric) = 1.2744468232830179597391176756892 absolute error = 1.38370252316646686840168568e-05 relative error = 0.0010857397274607093751485862988828 % h = 0.001 y1[1] (analytic) = 1.9616062271291891329987945343101 y1[1] (numeric) = 1.9616055860136862500521316675914 absolute error = 6.411155028829466628667187e-07 relative error = 3.2683190643272949410265674002824e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=942.2MB, alloc=4.6MB, time=117.69 x[1] = 0.279 y2[1] (analytic) = 1.2753944551081660935095180154422 y2[1] (numeric) = 1.275408542797622197099403467692 absolute error = 1.40876894561035898854522498e-05 relative error = 0.0011045750904498651093973437031656 % h = 0.001 y1[1] (analytic) = 1.9613313133855966777899753047686 y1[1] (numeric) = 1.9613306583080364665336720378753 absolute error = 6.550775602112563032668933e-07 relative error = 3.3399638079528708795888942650643e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.28 y2[1] (analytic) = 1.2763556485641137333196695584578 y2[1] (numeric) = 1.2763699905374239968102921220024 absolute error = 1.43419733102634906225635446e-05 relative error = 0.0011236659097641049423986897156045 % h = 0.001 y1[1] (analytic) = 1.9610554383107709479245900535965 y1[1] (numeric) = 1.9610547690186826124397275628162 absolute error = 6.692920883354848624907803e-07 relative error = 3.4129177342992651008527869125583e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=946.0MB, alloc=4.6MB, time=118.16 NO POLE NO POLE x[1] = 0.281 y2[1] (analytic) = 1.2773165656644358386527004700495 y2[1] (numeric) = 1.2773311655802902320889602617626 absolute error = 1.45999158543934362597917131e-05 relative error = 0.0011430146799042598406641946619956 % h = 0.001 y1[1] (analytic) = 1.9607786021805869952387798436879 y1[1] (numeric) = 1.96077791841786060305259158825 absolute error = 6.837627263921861882554379e-07 relative error = 3.4872000624230184767616719374207e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.6MB, time=118.63 NO POLE NO POLE x[1] = 0.282 y2[1] (analytic) = 1.2782772054482153892629277748141 y2[1] (numeric) = 1.2782920670046441317282044350936 absolute error = 1.48615564287424652766602795e-05 relative error = 0.0011626239101659804683793886805275 % h = 0.001 y1[1] (analytic) = 1.9605008052718809268468206145129 y1[1] (numeric) = 1.9605001067787282087669736920865 absolute error = 6.984931527180798469224264e-07 relative error = 3.5628302260310129712867344664191e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=953.6MB, alloc=4.6MB, time=119.10 NO POLE NO POLE x[1] = 0.283 y2[1] (analytic) = 1.2792375669548126814241135090431 y2[1] (numeric) = 1.2792526938894672410127039866805 absolute error = 1.51269346545595885904776374e-05 relative error = 0.0011824961246696976404133107795507 % h = 0.001 y1[1] (analytic) = 1.9602220478624496283050391375165 y1[1] (numeric) = 1.9602213343753644977539428620686 absolute error = 7.134870851305510962754479e-07 relative error = 3.6398278751561979369634626355293e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.6MB, time=119.58 NO POLE NO POLE x[1] = 0.284 y2[1] (analytic) = 1.2801976492238662885690883936544 y2[1] (numeric) = 1.2802130453143013823579528296969 absolute error = 1.53960904350937888644360425e-05 relative error = 0.0012026338623905328755706282943672 % h = 0.001 y1[1] (analytic) = 1.9599423302310504858149506095312 y1[1] (numeric) = 1.9599416014827692766640929961227 absolute error = 7.287482812091508576134085e-07 relative error = 3.7182128778413667326351544293644e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=961.3MB, alloc=4.6MB, time=120.06 NO POLE NO POLE x[1] = 0.285 y2[1] (analytic) = 1.2811574512952940216510983712452 y2[1] (numeric) = 1.2811731203592506156708992168757 absolute error = 1.56690639565940198008456305e-05 relative error = 0.0012230396771881598143777335164063 % h = 0.001 y1[1] (analytic) = 1.959661652657401107465895681044 y1[1] (numeric) = 1.9596609083768625293702085368747 absolute error = 7.442805385780956871441693e-07 relative error = 3.7980053218310075737036584507797e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.6MB, time=120.60 NO POLE NO POLE x[1] = 0.286 y2[1] (analytic) = 1.2821169722092938892259136459998 y2[1] (numeric) = 1.2821329181049831984313328840717 absolute error = 1.59458956893092054192380719e-05 relative error = 0.0012437161378366172617383845609048 % h = 0.001 y1[1] (analytic) = 1.9593800154221790435174556766546 y1[1] (numeric) = 1.959379255334483853749709012667 absolute error = 7.600876951897677466639876e-07 relative error = 3.8792255162712526434500610981066e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=968.9MB, alloc=4.6MB, time=121.11 NO POLE NO POLE x[1] = 0.287 y2[1] (analytic) = 1.2830762110063450572537401444227 y2[1] (numeric) = 1.2830924376327335454930592151213 absolute error = 1.62266263884882393190706986e-05 relative error = 0.0012646658280540746108659776778099 % h = 0.001 y1[1] (analytic) = 1.9590974188070215057219257252902 y1[1] (numeric) = 1.9590966426333918965071522179044 absolute error = 7.761736296092147735073858e-07 relative error = 3.9618939934179496116282722882382e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=972.7MB, alloc=4.6MB, time=121.59 x[1] = 0.288 y2[1] (analytic) = 1.2840351667272088086199735950659 y2[1] (numeric) = 1.2840516780243041886039003531846 absolute error = 1.65112970953799839267581187e-05 relative error = 0.0012858913465325504009982404786539 % h = 0.001 y1[1] (analytic) = 1.9588138630945250856871264776764 y1[1] (numeric) = 1.9588130705522637860370767257666 absolute error = 7.925422612996500497519098e-07 relative error = 4.0460315103528798245544060019309e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.289 y2[1] (analytic) = 1.284993838412929502373836706576 y2[1] (numeric) = 1.2850106383620677356435634610542 absolute error = 1.67999491382332697267544782e-05 relative error = 0.0013073953069675847575258439178464 % h = 0.001 y1[1] (analytic) = 1.9585293485682454722798360482323 y1[1] (numeric) = 1.9585285393706945633274653862634 absolute error = 8.091975509089523706619689e-07 relative error = 4.1316590507081475493165694549498e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.6MB, time=122.07 NO POLE NO POLE x[1] = 0.29 y2[1] (analytic) = 1.2859522251048355326839402055044 y2[1] (numeric) = 1.2859693177289688295784166111336 absolute error = 1.70926241332968944764056292e-05 relative error = 0.001329180338087866459318970192231 % h = 0.001 y1[1] (analytic) = 1.9582438755126971680701247779319 y1[1] (numeric) = 1.9582430493691966109041124222669 absolute error = 8.261435005571660123556650e-07 relative error = 4.2187978263987647735150482220734e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=980.3MB, alloc=4.6MB, time=122.55 NO POLE NO POLE x[1] = 0.291 y2[1] (analytic) = 1.286910325844540287509808778398 y2[1] (numeric) = 1.2869277152085261071322130649221 absolute error = 1.73893639858196224042865241e-05 relative error = 0.0013512490836848153742150703248524 % h = 0.001 y1[1] (analytic) = 1.9579574442133532048168763737751 y1[1] (numeric) = 1.9579566008291990798161776955334 absolute error = 8.433841541250006986782417e-07 relative error = 4.3074692793634561811140072246492e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.6MB, time=123.03 NO POLE NO POLE x[1] = 0.292 y2[1] (analytic) = 1.287868139673943106988413246727 y2[1] (numeric) = 1.2878858298848341571718049818992 absolute error = 1.76902108910501833917351722e-05 relative error = 0.0013736042026421209998367264502153 % h = 0.001 y1[1] (analytic) = 1.9576700549566448579947799393226 y1[1] (numeric) = 1.9576691940330473146632126738295 absolute error = 8.609235975433315672654931e-07 relative error = 4.3976950833137090445446155232469e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=988.0MB, alloc=4.6MB, time=123.51 NO POLE NO POLE x[1] = 0.293 y2[1] (analytic) = 1.2888256656352302415347505881947 y2[1] (numeric) = 1.2888436608425654788068878786705 absolute error = 1.79952073352372721372904758e-05 relative error = 0.0013962483689652378431405290084051 % h = 0.001 y1[1] (analytic) = 1.9573817080299613603630783692788 y1[1] (numeric) = 1.9573808292640022766639435890966 absolute error = 8.787659590836991347801822e-07 relative error = 4.4894971454910928931480296057657e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.6MB, time=123.99 NO POLE NO POLE x[1] = 0.294 y2[1] (analytic) = 1.2897829027708758096555137039305 y2[1] (numeric) = 1.2898012071669724392028174411253 absolute error = 1.83043960966295473037371948e-05 relative error = 0.0014191842718108383683560171890468 % h = 0.001 y1[1] (analytic) = 1.9570924037216496145763595393507 y1[1] (numeric) = 1.9570915068062399647670982351243 absolute error = 8.969154096498092613042264e-07 relative error = 4.5828976084328739383869350306627e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.6MB, time=124.46 NO POLE NO POLE x[1] = 0.295 y2[1] (analytic) = 1.2907398501236427554748931179768 y2[1] (numeric) = 1.2907584679438892311055405751584 absolute error = 1.86178202464756306474571816e-05 relative error = 0.0014424146155162242392578439982949 % h = 0.001 y1[1] (analytic) = 1.956802142321013904837677680568 y1[1] (numeric) = 1.9568012269448508348045638114617 absolute error = 9.153761630700331138691063e-07 relative error = 4.6779188517459493569883420370413e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.6MB, time=124.97 NO POLE NO POLE x[1] = 0.296 y2[1] (analytic) = 1.291696506736583805971553083346 y2[1] (numeric) = 1.2917154422597338300776828652279 absolute error = 1.89355231500241061297818819e-05 relative error = 0.0014659421196286965780242476641308 % h = 0.001 y1[1] (analytic) = 1.9565109241183156075942932849186 y1[1] (numeric) = 1.9565099899658392166871641782666 absolute error = 9.341524763909071291066520e-07 relative error = 4.7745834938891266543101316619554e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1003.2MB, alloc=4.6MB, time=125.43 x[1] = 0.297 y2[1] (analytic) = 1.2926528716530424279258248577527 y2[1] (numeric) = 1.2926721292015099514448348946531 absolute error = 1.92575484675235190100369004e-05 relative error = 0.0014897695189348859592704714653727 % h = 0.001 y1[1] (analytic) = 1.9562187494047729012763208465347 y1[1] (numeric) = 1.9562177961561227296433458444818 absolute error = 9.532486501716329750020529e-07 relative error = 4.8729143939637734517514675454103e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.298 y2[1] (analytic) = 1.2936089439166537845761602019079 y2[1] (numeric) = 1.2936285278568090069510801671043 absolute error = 1.95839401552223749199651964e-05 relative error = 0.0015138995634900428542068102672358 % h = 0.001 y1[1] (analytic) = 1.9559256184725604750785746997598 y1[1] (numeric) = 1.9559246458035316955010629691305 absolute error = 9.726690287795775117306293e-07 relative error = 4.9729346535128631639547077691104e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1007.1MB, alloc=4.6MB, time=125.97 NO POLE NO POLE x[1] = 0.299 y2[1] (analytic) = 1.2945647225713456919838884439998 y2[1] (numeric) = 1.2945846373138120611228076551981 absolute error = 1.99147424663691389192111983e-05 relative error = 0.0015383350186472892362573096814131 % h = 0.001 y1[1] (analytic) = 1.9556315316148092367859041722236 y1[1] (numeric) = 1.9556305391968085500131526126407 absolute error = 9.924180006867727515595829e-07 relative error = 5.0746676183284421538758557827799e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.6MB, time=126.48 NO POLE NO POLE x[1] = 0.3 y2[1] (analytic) = 1.295520206661339575105320745685 y2[1] (numeric) = 1.295540456661291787339852289484 absolute error = 2.02499999522122345315437990e-05 relative error = 0.0015630786650868320558866392852635 % h = 0.001 y1[1] (analytic) = 1.955336489125606019642310227568 y1[1] (numeric) = 1.9553354766256072522264924319392 absolute error = 1.0124999987674158177956288e-06 relative error = 5.1781368802675440765340475655066e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.6MB, time=126.96 NO POLE NO POLE x[1] = 0.301 y2[1] (analytic) = 1.2964753952311514235702454975658 y2[1] (numeric) = 1.2964959849886144236130069893955 absolute error = 2.05897574630000427614918297e-05 relative error = 0.0015881332988451392888191440791327 % h = 0.001 y1[1] (analytic) = 1.9550404912999932882641367286816 y1[1] (numeric) = 1.9550394583804926918952339695979 absolute error = 1.0329195005963689027590837e-06 relative error = 5.2833662790765772453900536134663e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1018.5MB, alloc=4.6MB, time=127.44 NO POLE NO POLE x[1] = 0.302 y2[1] (analytic) = 1.2974302873255927471658590657366 y2[1] (numeric) = 1.2974512213857417280669501269377 absolute error = 2.09340601489809010910612011e-05 relative error = 0.0016135017313440792582953872822461 % h = 0.001 y1[1] (analytic) = 1.9547435384339688435976304082261 y1[1] (numeric) = 1.9547424847529400949384056435684 absolute error = 1.0536810287486592247646577e-06 relative error = 5.3903799042242109788514315100218e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.6MB, time=127.93 NO POLE NO POLE x[1] = 0.303 y2[1] (analytic) = 1.2983848819897715310251764055494 y2[1] (numeric) = 1.2984061649432329341276326039908 absolute error = 2.12829534614031024561984414e-05 relative error = 0.0016391867894200239284974727173004 % h = 0.001 y1[1] (analytic) = 1.9544456308244855269211645888734 y1[1] (numeric) = 1.9544445560353344269421805000074 absolute error = 1.0747891510999789840888660e-06 relative error = 5.4992020967427870083598642383972e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.6MB, time=128.41 NO POLE NO POLE x[1] = 0.304 y2[1] (analytic) = 1.2993391782690931905189663542671 y2[1] (numeric) = 1.2993608147522467054131690151308 absolute error = 2.16364831535148942026608637e-05 relative error = 0.0016651913153529168627849192195315 % h = 0.001 y1[1] (analytic) = 1.9541467687694509228924226510006 y1[1] (numeric) = 1.9541456725209697947071047473664 absolute error = 1.0962484811281853179036342e-06 relative error = 5.6098574510782821538864188548448e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1029.9MB, alloc=4.6MB, time=128.89 x[1] = 0.305 y2[1] (analytic) = 1.3002931752092615258502567107484 y2[1] (numeric) = 1.3003151699045430903272776597982 absolute error = 2.19946952815644770209490498e-05 relative error = 0.0016915181668953065369176946929577 % h = 0.001 y1[1] (analytic) = 1.9538469525677270616408382006383 y1[1] (numeric) = 1.9538458345040488458405840453032 absolute error = 1.1180636782158002541553351e-06 relative error = 5.7223708169488485974451587345823e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.306 y2[1] (analytic) = 1.3012468718562796763504545077395 y2[1] (numeric) = 1.3012692294924854763543144604839 absolute error = 2.23576362058000038599527444e-05 relative error = 0.0017181702173013456940020477152478 % h = 0.001 y1[1] (analytic) = 1.9535461825191301199055898452054 y1[1] (numeric) = 1.953545042279682166394925477062 absolute error = 1.1402394479535106643681434e-06 relative error = 5.8367673012119582104367390344031e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1033.8MB, alloc=4.6MB, time=129.36 NO POLE NO POLE x[1] = 0.307 y2[1] (analytic) = 1.3022002672564510744761271807312 y2[1] (numeric) = 1.3022229926090425440549461373521 absolute error = 2.27253525914695788189566209e-05 relative error = 0.0017451503553557574244778456398225 % h = 0.001 y1[1] (analytic) = 1.9532444589244301212194494390108 y1[1] (numeric) = 1.9532432961438876765512340887648 absolute error = 1.1627805424446682153502460e-06 relative error = 5.9530722697401775162535260551104e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.6MB, time=129.84 NO POLE NO POLE x[1] = 0.308 y2[1] (analytic) = 1.30315336045638039950549063668 y2[1] (numeric) = 1.3031764583477902207615082843737 absolute error = 2.30978914098212560176476937e-05 relative error = 0.0017724614854027686510730850991871 % h = 0.001 y1[1] (analytic) = 1.9529417820853506351387836146492 y1[1] (numeric) = 1.9529405963935900243494638335605 absolute error = 1.1856917606107893197810887e-06 relative error = 6.0713113493055999956184811128183e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1041.4MB, alloc=4.6MB, time=130.31 NO POLE NO POLE x[1] = 0.309 y2[1] (analytic) = 1.3041061505029745309336505261852 y2[1] (numeric) = 1.3041296258029136339720942876106 absolute error = 2.34752999391030384437614254e-05 relative error = 0.0018001065273750116952819319902356 % h = 0.001 y1[1] (analytic) = 1.9526381523045684755200093702652 y1[1] (numeric) = 1.9526369433266199774649237127843 absolute error = 1.2089779484980550856574809e-06 relative error = 6.1915104294729625685937075234053e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1045.2MB, alloc=4.6MB, time=130.78 NO POLE NO POLE x[1] = 0.31 y2[1] (analytic) = 1.305058636443443501565643323959 y2[1] (numeric) = 1.305082494069209064442421322761 absolute error = 2.38576257655628767779988020e-05 relative error = 0.0018280884168223945985769211333897 % h = 0.001 y1[1] (analytic) = 1.9523335698857133978428054362022 y1[1] (numeric) = 1.9523323372417138130315408601909 absolute error = 1.2326439995848112645760113e-06 relative error = 6.3136956645014732140832865121327e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.6MB, time=131.26 NO POLE NO POLE x[1] = 0.311 y2[1] (analytic) = 1.3060108173253014503063241246284 y2[1] (numeric) = 1.3060350622420858989745199664536 absolute error = 2.42449167844486681958418252e-05 relative error = 0.00185641010494094086824365030573 % h = 0.001 y1[1] (analytic) = 1.9520280351333677955803820978034 y1[1] (numeric) = 1.9520267784385127055121832689405 absolute error = 1.2566948550900681988288629e-06 relative error = 6.4378934752553768149710484110387e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.6MB, time=131.73 NO POLE NO POLE x[1] = 0.312 y2[1] (analytic) = 1.3069626921963675746461483640617 y2[1] (numeric) = 1.3069873294175685829012942540621 absolute error = 2.46372212010082551458900004e-05 relative error = 0.0018850745586015993144272899474097 % h = 0.001 y1[1] (analytic) = 1.9517215483530663956171131040662 y1[1] (numeric) = 1.951720267217562112616345814332 absolute error = 1.2811355042830007672897342e-06 relative error = 6.5641305511232864447792985449428e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1056.6MB, alloc=4.6MB, time=132.23 NO POLE NO POLE x[1] = 0.313 y2[1] (analytic) = 1.3079142601047670828418949805147 y2[1] (numeric) = 1.3079392946922985722659993160013 absolute error = 2.50345875314894241043354866e-05 relative error = 0.0019140847603790246417043504688448 % h = 0.001 y1[1] (analytic) = 1.9514141098512959527138342444951 y1[1] (numeric) = 1.9514128038803111592655041782962 absolute error = 1.3059709847934483300661989e-06 relative error = 6.6924338519463074399115363229744e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1060.5MB, alloc=4.6MB, time=132.74 x[1] = 0.314 y2[1] (analytic) = 1.3088655200989321457913788349557 y2[1] (numeric) = 1.3088909571635362856956840245569 absolute error = 2.54370646041399043051896012e-05 relative error = 0.0019434437085803294552402549379467 % h = 0.001 y1[1] (analytic) = 1.9511057199354949430211141288279 y1[1] (numeric) = 1.951104388729112019606442234379 absolute error = 1.3312063829234146718944489e-06 relative error = 6.8228306099549817301529523164270e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.315 y2[1] (analytic) = 1.309816471227602848601200515934 y2[1] (numeric) = 1.3098423159291630559676463843009 absolute error = 2.58447015602073664458683669e-05 relative error = 0.0019731544172738083383632118508456 % h = 0.001 y1[1] (analytic) = 1.9507963789140532566408036563392 y1[1] (numeric) = 1.9507950220672192970728594043629 absolute error = 1.3568468339595679442519763e-06 relative error = 6.9553483317150800291492100530134e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1064.3MB, alloc=4.6MB, time=133.24 NO POLE NO POLE x[1] = 0.316 y2[1] (analytic) = 1.3107671125398281418465819613222 y2[1] (numeric) = 1.3107933700876830812679497010435 absolute error = 2.62575478549394213677397213e-05 relative error = 0.0020032199163176346551775232539268 % h = 0.001 y1[1] (analytic) = 1.9504860870963118892361716131461 y1[1] (numeric) = 1.9504847041987894024955654497915 absolute error = 1.3828975224867406061633546e-06 relative error = 7.0900148000822696160688917671341e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1068.1MB, alloc=4.6MB, time=133.77 NO POLE NO POLE x[1] = 0.317 y2[1] (analytic) = 1.3117174430849667925223366371764 y2[1] (numeric) = 1.3117441187382253761410478670759 absolute error = 2.66756532585836187112298995e-05 relative error = 0.002033643251388530728654654759551 % h = 0.001 y1[1] (analytic) = 1.9501748447925626326909347873552 y1[1] (numeric) = 1.9501734354288799302615711134738 absolute error = 1.4093636827024293636738814e-06 relative error = 7.2268580761656855695802392007408e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1071.9MB, alloc=4.6MB, time=134.30 NO POLE NO POLE x[1] = 0.318 y2[1] (analytic) = 1.3126674619126883346840233228225 y2[1] (numeric) = 1.312694560980545722129568404165 absolute error = 2.70990678573874455450813425e-05 relative error = 0.0020644274840104120414779924965863 % h = 0.001 y1[1] (analytic) = 1.9498626523140477648174919429938 y1[1] (numeric) = 1.9498612160634490325223839775576 absolute error = 1.4362505987322951079654362e-06 relative error = 7.3659065013004334456406258539419e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1075.7MB, alloc=4.6MB, time=134.82 NO POLE NO POLE x[1] = 0.319 y2[1] (analytic) = 1.3136171680729740197783328610944 y2[1] (numeric) = 1.3136446959150286181033022103663 absolute error = 2.75278420545983249693492719e-05 relative error = 0.0020955756915830061037770749802169 % h = 0.001 y1[1] (analytic) = 1.9495495099729597381146719444671 y1[1] (numeric) = 1.9495480464093547914518198559658 absolute error = 1.4635636049466628520885013e-06 relative error = 7.5071886990290515214098531784152e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1079.5MB, alloc=4.6MB, time=135.34 NO POLE NO POLE x[1] = 0.32 y2[1] (analytic) = 1.3145665606161177666617575434172 y2[1] (numeric) = 1.3145945226426892302764492622302 absolute error = 2.79620265714636146917188130e-05 relative error = 0.0021270909674104466287690747471943 % h = 0.001 y1[1] (analytic) = 1.9492354180824408675753072737661 y1[1] (numeric) = 1.9492339267743545895536409898924 absolute error = 1.4913080862780216662838737e-06 relative error = 7.6507335770919608588580149283529e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1083.3MB, alloc=4.6MB, time=135.87 NO POLE NO POLE x[1] = 0.321 y2[1] (analytic) = 1.3155156385927271113065931111435 y2[1] (numeric) = 1.3155440402651753419121698303849 absolute error = 2.84016724482306055767192414e-05 relative error = 0.0021589764207298436542292750013132 % h = 0.001 y1[1] (analytic) = 1.9489203769565830175439451328269 y1[1] (numeric) = 1.9489188574671044780193332656485 absolute error = 1.5194894785395246118671784e-06 relative error = 7.7965703294269315733476529833768e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.6MB, time=136.37 NO POLE NO POLE x[1] = 0.322 y2[1] (analytic) = 1.3164644010537241561933236672222 y2[1] (numeric) = 1.3164932478847693027134910737865 absolute error = 2.88468310451465201674065643e-05 relative error = 0.0021912351767398302446381006229806 % h = 0.001 y1[1] (analytic) = 1.9486043869104272876250092733052 y1[1] (numeric) = 1.9486028387971585431363356244384 absolute error = 1.5481132687444886736488668e-06 relative error = 7.9447284381775938246304271031756e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1091.0MB, alloc=4.6MB, time=136.87 x[1] = 0.323 y2[1] (analytic) = 1.3174128470503465193884401058919 y2[1] (numeric) = 1.3174421446043899778996191861334 absolute error = 2.92975540434585111790802415e-05 relative error = 0.0022238703766290864057997836199407 % h = 0.001 y1[1] (analytic) = 1.948287448259963697641726645576 y1[1] (numeric) = 1.9482858710749682707470357836261 absolute error = 1.5771849954268946908619499e-06 relative error = 8.0952376757110221803128122660791e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.324 y2[1] (analytic) = 1.3183609756341482833067429826609 y2[1] (numeric) = 1.3183907295275946969667075770474 absolute error = 2.97538934464136599645943865e-05 relative error = 0.0022568851776048408406968319791794 % h = 0.001 y1[1] (analytic) = 1.9479695613221308716461339080079 y1[1] (numeric) = 1.9479679546118819087588473387247 absolute error = 1.6067102489628872865692832e-06 relative error = 8.2481281066444221349157355560403e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.6MB, time=137.39 NO POLE NO POLE x[1] = 0.325 y2[1] (analytic) = 1.3193087858570009431571810623496 y2[1] (numeric) = 1.3193390017585812021321318806272 absolute error = 3.02159015802589749508182776e-05 relative error = 0.0022902827529213511723349926183427 % h = 0.001 y1[1] (analytic) = 1.9476507264148157209804797864775 y1[1] (numeric) = 1.9476490897201438277056842647026 absolute error = 1.6366946718932747955217749e-06 relative error = 8.4034300898809477011817803850149e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.6MB, time=137.88 NO POLE NO POLE x[1] = 0.326 y2[1] (analytic) = 1.3202562767710943550712770994355 y2[1] (numeric) = 1.3202869604021895964613228948784 absolute error = 3.06836310952413900457954429e-05 relative error = 0.0023240662919083632563452177079897 % h = 0.001 y1[1] (analytic) = 1.9473309438568531263903402226954 y1[1] (numeric) = 1.9473292767128938793611497842546 absolute error = 1.6671439592470291904384408e-06 relative error = 8.5611742806546791242729583589814e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1102.4MB, alloc=4.6MB, time=138.40 NO POLE NO POLE x[1] = 0.327 y2[1] (analytic) = 1.3212034474289376839131927223542 y2[1] (numeric) = 1.3212346045639042916762088673215 absolute error = 3.11571349666077630161449673e-05 relative error = 0.0023582389999995502031421251449782 % h = 0.001 y1[1] (analytic) = 1.9470102139680256191897641982033 y1[1] (numeric) = 1.9470085159041667534037575194245 absolute error = 1.6980638588657860066787788e-06 relative error = 8.7213916325847899039543806917181e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1106.2MB, alloc=4.6MB, time=138.93 NO POLE NO POLE x[1] = 0.328 y2[1] (analytic) = 1.3221502968833603507704846117713 y2[1] (numeric) = 1.3221819333498559556443188547712 absolute error = 3.16364664956048738342429999e-05 relative error = 0.0023928040987609317264924547100664 % h = 0.001 y1[1] (analytic) = 1.9466885370690630614787690688678 y1[1] (numeric) = 1.9466868076088913321345037913955 absolute error = 1.7294601717293442652774723e-06 relative error = 8.8841133997389324447767049364315e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1110.1MB, alloc=4.6MB, time=139.43 NO POLE NO POLE x[1] = 0.329 y2[1] (analytic) = 1.3230968241875129801246044821466 y2[1] (numeric) = 1.3231289458668234595475991988677 absolute error = 3.21216793104794229947167211e-05 relative error = 0.0024277648259192744324219293438734 % h = 0.001 y1[1] (analytic) = 1.9463659134816423254135051923513 y1[1] (numeric) = 1.9463641521428900432471108813792 absolute error = 1.7613387522821663943109721e-06 relative error = 9.0493711387058717896553942920956e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1113.9MB, alloc=4.6MB, time=139.95 NO POLE NO POLE x[1] = 0.33 y2[1] (analytic) = 1.3240430283948683467001956961702 y2[1] (numeric) = 1.3240756412222358247299954734212 absolute error = 3.26128273674780297997772510e-05 relative error = 0.0024631244353904736594846038290009 % h = 0.001 y1[1] (analytic) = 1.9460423435283869715294105783662 y1[1] (numeric) = 1.9460405498228782106512620133365 absolute error = 1.7937055087608781485650297e-06 relative error = 9.2171967106773970280998260810418e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.6MB, time=140.55 NO POLE NO POLE x[1] = 0.331 y2[1] (analytic) = 1.3249889085592223219922396628531 y2[1] (numeric) = 1.3250220185241741692228525750087 absolute error = 3.31099649518472306129121556e-05 relative error = 0.00249888619730791747853509125229 % h = 0.001 y1[1] (analytic) = 1.9457178275328669261176772385331 y1[1] (numeric) = 1.9457160009664634033491497667481 absolute error = 1.8265664035227685274717850e-06 relative error = 9.3876222835395401066725824870519e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1121.5MB, alloc=4.6MB, time=141.11 x[1] = 0.332 y2[1] (analytic) = 1.3259344637346948204701054922043 y2[1] (numeric) = 1.3259680768813736539471859445288 absolute error = 3.36131466788334770804523245e-05 relative error = 0.0025350533980508334572808705152407 % h = 0.001 y1[1] (analytic) = 1.9453923658195981576553518593481 y1[1] (numeric) = 1.9453905058921447823656605748248 absolute error = 1.8599274533752896912845233e-06 relative error = 9.5606803339731319060610685437600e-05 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.333 y2[1] (analytic) = 1.3268796929757307454575567025243 y2[1] (numeric) = 1.3269138154032254285918772245827 absolute error = 3.41224274946831343205220584e-05 relative error = 0.0025716293402726187920490675215512 % h = 0.001 y1[1] (analytic) = 1.9450659587140423522893943681328 y1[1] (numeric) = 1.9450640649193124457325189104002 absolute error = 1.8937947299065568754577326e-06 relative error = 9.7364036495637255864224010167664e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1125.3MB, alloc=4.6MB, time=141.62 NO POLE NO POLE x[1] = 0.334 y2[1] (analytic) = 1.3278245953371009346877691003853 y2[1] (numeric) = 1.3278592331997785771668479756027 absolute error = 3.46378626776424790788752174e-05 relative error = 0.0026086173429291544063795407333778 % h = 0.001 y1[1] (analytic) = 1.9447386065426065883750189078808 y1[1] (numeric) = 1.9447366783682467715267157082851 absolute error = 1.9281743598168483031995957e-06 relative error = 9.9148253309209173404205769012504e-05 % h = 0.001 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.6MB, time=142.13 NO POLE NO POLE x[1] = 0.335 y2[1] (analytic) = 1.3287691698739031055324142783622 y2[1] (numeric) = 1.3288043293817420632302653925945 absolute error = 3.51595078389576978511142323e-05 relative error = 0.0026460207413071036132536609150558 % h = 0.001 y1[1] (analytic) = 1.9444103096326430100686426826321 y1[1] (numeric) = 1.9444083465601177589635465190807 absolute error = 1.9630725252511050961635514e-06 relative error = 0.00010095978793807094831614683183707 % h = 0.001 TOP MAIN SOLVE Loop memory used=1132.9MB, alloc=4.6MB, time=142.60 NO POLE NO POLE x[1] = 0.336 y2[1] (analytic) = 1.3297134156415627999038635015058 y2[1] (numeric) = 1.3297491030604866747888342841936 absolute error = 3.56874189238748849707826878e-05 relative error = 0.0026838428870521959349857303406025 % h = 0.001 y1[1] (analytic) = 1.9440810683124484999757690804005 y1[1] (numeric) = 1.9440790698169843675445858353455 absolute error = 1.9984954641324311832450550e-06 relative error = 0.00010279897771275643734580734780852 % h = 0.001 TOP MAIN SOLVE Loop memory used=1136.8MB, alloc=4.6MB, time=143.07 NO POLE NO POLE x[1] = 0.337 y2[1] (analytic) = 1.3306573316958343288295670804365 y2[1] (numeric) = 1.3306935533480469688702298964628 absolute error = 3.62216522126400406628160263e-05 relative error = 0.0027220871481974966720414117146617 % h = 0.001 y1[1] (analytic) = 1.943750882911264350854132425743 y1[1] (numeric) = 1.9437488484617938542609249765898 absolute error = 2.0344494704965932074491532e-06 relative error = 0.00010466616315818642932359984002934 % h = 0.001 TOP MAIN SOLVE Loop memory used=1140.6MB, alloc=4.6MB, time=143.54 NO POLE NO POLE x[1] = 0.338 y2[1] (analytic) = 1.331600917092801716697664656756 y2[1] (numeric) = 1.3316376793571232157667264854707 absolute error = 3.67622643214990690618287147e-05 relative error = 0.0027607569091916628093047088724445 % h = 0.001 y1[1] (analytic) = 1.9434197537592759363724326587988 y1[1] (numeric) = 1.943417682818381108852001864827 absolute error = 2.0709408948275204307939718e-06 relative error = 0.00010656168801524079066525686054846 % h = 0.001 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.6MB, time=144.04 NO POLE NO POLE x[1] = 0.339 y2[1] (analytic) = 1.332544170888879645172882155245 y2[1] (numeric) = 1.3325814802010833429490768651956 absolute error = 3.73093122036977761947099506e-05 relative error = 0.0027998555709271858455918355931456 % h = 0.001 y1[1] (analytic) = 1.9430876811876123809249891820363 y1[1] (numeric) = 1.9430855732114679871203519673473 absolute error = 2.1079761443938046372146890e-06 relative error = 0.00010848589926242611275350708643134 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1148.2MB, alloc=4.6MB, time=144.52 x[1] = 0.34 y2[1] (analytic) = 1.3334870921408143967817714870308 y2[1] (numeric) = 1.3335249549939648786496984806887 absolute error = 3.78628531504818679269936579e-05 relative error = 0.0028393865507686221295066030403177 % h = 0.001 y1[1] (analytic) = 1.9427546655283462285026440600266 y1[1] (numeric) = 1.9427525199666626423026106279899 absolute error = 2.1455616835862000334320367e-06 relative error = 0.00011043914713763917096242485969983 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.341 y2[1] (analytic) = 1.334429679905684798166349418561 y2[1] (numeric) = 1.3344681028504768951142218807105 absolute error = 3.84229447920969478724621495e-05 relative error = 0.002879353282580811282047629893095 % h = 0.001 y1[1] (analytic) = 1.9424207071144931106202457013121 y1[1] (numeric) = 1.942418523410458854497097952479 absolute error = 2.1837040342561231477488331e-06 relative error = 0.00011242178516002650649792053447733 % h = 0.001 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.6MB, time=145.00 NO POLE NO POLE x[1] = 0.342 y2[1] (analytic) = 1.3353719332409031630051923528251 y2[1] (numeric) = 1.3354109228860019515204577892179 absolute error = 3.89896450987885152654363928e-05 relative error = 0.0029197592167570832837126095971956 % h = 0.001 y1[1] (analytic) = 1.9420858062800114133010450948604 y1[1] (numeric) = 1.942083583870235358148318357351 absolute error = 2.2224097760551527267375094e-06 relative error = 0.0001144341701519404436446274228496 % h = 0.001 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.6MB, time=145.47 NO POLE NO POLE x[1] = 0.343 y2[1] (analytic) = 1.336313851204216234601044101807 y2[1] (numeric) = 1.3363534142165980365638393011305 absolute error = 3.95630123818019627951993235e-05 relative error = 0.0029606078202474548011989380437025 % h = 0.001 y1[1] (analytic) = 1.9417499633598019431183376166772 y1[1] (numeric) = 1.941747701674255167588707835639 absolute error = 2.2616855467755296297810382e-06 relative error = 0.00011647666226099185643123949751216 % h = 0.001 TOP MAIN SOLVE Loop memory used=1159.6MB, alloc=4.6MB, time=145.95 NO POLE NO POLE x[1] = 0.344 y2[1] (analytic) = 1.3372554328537061281339940626387 y2[1] (numeric) = 1.337295575959000510708396054742 absolute error = 4.01431052943825744019921033e-05 relative error = 0.0030019025765868153261730924418928 % h = 0.001 y1[1] (analytic) = 1.9414131786897075922946843649114 y1[1] (numeric) = 1.9414108771516649006379629357912 absolute error = 2.3015380426916567214291202e-06 relative error = 0.00011854962498220000015318794445908 % h = 0.001 TOP MAIN SOLVE Loop memory used=1163.5MB, alloc=4.6MB, time=146.42 NO POLE NO POLE x[1] = 0.345 y2[1] (analytic) = 1.338196677247791272579283544357 y2[1] (numeric) = 1.3382374072306240481023175609623 absolute error = 4.07299828327755230340166053e-05 relative error = 0.0030436469859231036959731397967071 % h = 0.001 y1[1] (analytic) = 1.9410754526065130028590479241997 y1[1] (numeric) = 1.9410731106324941002602863932837 absolute error = 2.3419740189025987615309160e-06 relative error = 0.00012065342518023972462343773903453 % h = 0.001 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.6MB, time=146.89 NO POLE NO POLE x[1] = 0.346 y2[1] (analytic) = 1.3391375834452273522887983275334 y2[1] (numeric) = 1.3391789071495645781571631982805 absolute error = 4.13237043372258683648707471e-05 relative error = 0.0030858445650454755635195245773789 % h = 0.001 y1[1] (analytic) = 1.9407367854479442298621784020909 y1[1] (numeric) = 1.9407344024476545542798852970439 absolute error = 2.3830002896755822931050470e-06 relative error = 0.00012278843311178638745916383545095 % h = 0.001 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.6MB, time=147.37 NO POLE NO POLE x[1] = 0.347 y2[1] (analytic) = 1.3400781505051082482353058753646 y2[1] (numeric) = 1.3401200748346012267897767119281 absolute error = 4.19243294929785544708365635e-05 relative error = 0.0031284988474124623811387223822951 % h = 0.001 y1[1] (analytic) = 1.9403971775526684036505865221322 y1[1] (numeric) = 1.9403947529289396131550586151275 absolute error = 2.4246237287904955279070047e-06 relative error = 0.00012495502244795878715415379261621 % h = 0.001 TOP MAIN SOLVE Loop memory used=1174.9MB, alloc=4.6MB, time=147.84 NO POLE NO POLE x[1] = 0.348 y2[1] (analytic) = 1.3410183774868669789184959520651 y2[1] (numeric) = 1.3410609094051982573259633861914 absolute error = 4.25319183312784074674341263e-05 relative error = 0.0031716133831801224604523345201281 % h = 0.001 y1[1] (analytic) = 1.9400566292602933911994414996184 y1[1] (numeric) = 1.9400541624090235058112118460875 absolute error = 2.4668512698853882296535309e-06 relative error = 0.00012715357029686043713400631431919 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1178.7MB, alloc=4.6MB, time=148.30 x[1] = 0.349 y2[1] (analytic) = 1.3419582634502766409318837425973 y2[1] (numeric) = 1.3420014099815070110649883901751 absolute error = 4.31465312303701331046475778e-05 relative error = 0.0032151917392301846679506224926564 % h = 0.001 y1[1] (analytic) = 1.9397151409113674565047323670778 y1[1] (numeric) = 1.9397126312214606535331375041393 absolute error = 2.5096899068029715948629385e-06 relative error = 0.00012938445722621950344357720551182 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.35 y2[1] (analytic) = 1.3428978074554513491896349069176 y2[1] (numeric) = 1.3429415756843678475039551295525 absolute error = 4.37682289164983143202226349e-05 relative error = 0.0032592374991981853133542263435225 % h = 0.001 y1[1] (analytic) = 1.9393727128473789200350323573037 y1[1] (numeric) = 1.9393701597006849819169010875609 absolute error = 2.5531466939381181312697428e-06 relative error = 0.00013164806728612773017369138423345 % h = 0.001 TOP MAIN SOLVE Loop memory used=1182.5MB, alloc=4.6MB, time=148.77 NO POLE NO POLE x[1] = 0.351 y2[1] (analytic) = 1.3438370085628471768123723419896 y2[1] (numeric) = 1.343881405635312084221122769952 absolute error = 4.43970724649074087504279624e-05 relative error = 0.0033037542635015987853707649222368 % h = 0.001 y1[1] (analytic) = 1.9390293454107558172432068921403 y1[1] (numeric) = 1.9390267481820092308816731207662 absolute error = 2.5972287465863615337713741e-06 relative error = 0.00013394478803187867819691762626559 % h = 0.001 TOP MAIN SOLVE Loop memory used=1186.3MB, alloc=4.6MB, time=149.24 NO POLE NO POLE x[1] = 0.352 y2[1] (analytic) = 1.3447758658332630946710247658361 y2[1] (numeric) = 1.3448208989565639364172224316242 absolute error = 4.50331233008417461976657881e-05 relative error = 0.0033487456493679624869740653610081 % h = 0.001 y1[1] (analytic) = 1.9386850389448655561384066652863 y1[1] (numeric) = 1.9386823970016242627418488011582 absolute error = 2.6419432412933965578641281e-06 relative error = 0.00013627501054690560425021633265885 % h = 0.001 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.6MB, time=149.71 NO POLE NO POLE x[1] = 0.353 y2[1] (analytic) = 1.345714378327841910587777579861 y2[1] (numeric) = 1.3457600547710424561138318899065 absolute error = 4.56764432005455260543100455e-05 relative error = 0.0033942152908629966198728022660888 % h = 0.001 y1[1] (analytic) = 1.9383397937940145739186882470937 y1[1] (numeric) = 1.9383371064965983683397977222016 absolute error = 2.6872974162055788905248921e-06 relative error = 0.00013863912946581930887554596808532 % h = 0.001 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.6MB, time=150.19 NO POLE NO POLE x[1] = 0.354 y2[1] (analytic) = 1.3466525451080712081931868085672 y2[1] (numeric) = 1.3466988722023634710078689517542 absolute error = 4.63270942922628146821431870e-05 relative error = 0.003440166838918719365392233697386 % h = 0.001 y1[1] (analytic) = 1.9379936103034479926646055787134 y1[1] (numeric) = 1.9379908770048765712395870841515 absolute error = 2.7332985714214250184945619e-06 relative error = 0.00014103754299754628320807661050505 % h = 0.001 TOP MAIN SOLVE Loop memory used=1197.8MB, alloc=4.6MB, time=150.69 NO POLE NO POLE x[1] = 0.355 y2[1] (analytic) = 1.3475903652357842854385172596347 y2[1] (numeric) = 1.3476373503748415229812640152367 absolute error = 4.69851390572375427467556020e-05 relative error = 0.0034866039613615580065673900869481 % h = 0.001 y1[1] (analytic) = 1.937646488819349274094116661967 y1[1] (numeric) = 1.9376437088652799299820227435377 absolute error = 2.7799540693441120939184293e-06 relative error = 0.00014347065294856748608553472215726 % h = 0.001 TOP MAIN SOLVE Loop memory used=1201.6MB, alloc=4.6MB, time=151.16 NO POLE NO POLE x[1] = 0.356 y2[1] (analytic) = 1.3485278377731610927623663921003 y2[1] (numeric) = 1.3485754884134918062648726564038 absolute error = 4.76506403307135025062643035e-05 relative error = 0.0035335303429404565338383946955887 % h = 0.001 y1[1] (analytic) = 1.9372984296888398733791506900099 y1[1] (numeric) = 1.9372956024175048384013533918262 absolute error = 2.8272713350349777972981837e-06 relative error = 0.0001459388647462580844414182677378 % h = 0.001 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.6MB, time=151.64 NO POLE NO POLE x[1] = 0.357 y2[1] (analytic) = 1.3494649617827291709106357260919 y2[1] (numeric) = 1.3495132854440321052556894263103 absolute error = 4.83236613029343450537002184e-05 relative error = 0.0035809496853549802743484617661526 % h = 0.001 y1[1] (analytic) = 1.9369494332599788920241818021889 y1[1] (numeric) = 1.9369465580021223240039840926683 absolute error = 2.8752578565680201977095206e-06 relative error = 0.00014844258746232849143940103973232 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1209.2MB, alloc=4.6MB, time=152.11 x[1] = 0.358 y2[1] (analytic) = 1.3504017363273645884089119742243 y2[1] (numeric) = 1.350450740592884731986424380245 absolute error = 4.90042655201435775124060207e-05 relative error = 0.0036288657072834180824724226136803 % h = 0.001 y1[1] (analytic) = 1.9365994998817627298071565844923 y1[1] (numeric) = 1.9365965759605773444095463457945 absolute error = 2.9239211853853976102386978e-06 relative error = 0.00015098223383636703830621632143419 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.359 y2[1] (analytic) = 1.3513381604702928786863204223547 y2[1] (numeric) = 1.3513878529871784632465042013457 absolute error = 4.96925168855845601837789910e-05 relative error = 0.0036772821444108826268482639907319 % h = 0.001 y1[1] (analytic) = 1.9362486299041247357831233746356 y1[1] (numeric) = 1.936245656635188081854672783918 absolute error = 2.9732689366539284505907176e-06 relative error = 0.00015355822029948461732569860894649 % h = 0.001 TOP MAIN SOLVE Loop memory used=1213.1MB, alloc=4.6MB, time=152.58 NO POLE NO POLE x[1] = 0.36 y2[1] (analytic) = 1.3522742332750899768499134359207 y2[1] (numeric) = 1.3523246217547504773535601217873 absolute error = 5.03884796605005036466858666e-05 relative error = 0.0037262027494574093068460205874743 % h = 0.001 y1[1] (analytic) = 1.9358968236779348583509123681247 y1[1] (numeric) = 1.93589380036914523575982554698 absolute error = 3.0233087896225910868211447e-06 relative error = 0.00015617096699806163496749462115391 % h = 0.001 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.6MB, time=153.05 NO POLE NO POLE x[1] = 0.361 y2[1] (analytic) = 1.353209953805683156108657317552 y2[1] (numeric) = 1.3532610460241482905744651866133 absolute error = 5.10922184651344658078690613e-05 relative error = 0.0037756312922060543290873386796298 % h = 0.001 y1[1] (analytic) = 1.935544081554999294383216458587 y1[1] (numeric) = 1.9355410075065113133595283156956 absolute error = 3.0740484879810236881428914e-06 relative error = 0.00015882089781759761564025755739546 % h = 0.001 TOP MAIN SOLVE Loop memory used=1220.7MB, alloc=4.6MB, time=153.54 NO POLE NO POLE x[1] = 0.362 y2[1] (analytic) = 1.3541453211263519638460810920458 y2[1] (numeric) = 1.3541971249246316931949837480352 absolute error = 5.18037982797293489026559894e-05 relative error = 0.0038255715595309924723250163776153 % h = 0.001 y1[1] (analytic) = 1.9351904038880601374204236822605 y1[1] (numeric) = 1.9351872783922199183963529236424 absolute error = 3.1254958402190240707586181e-06 relative error = 0.00016150844040666379808093831712299 % h = 0.001 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.6MB, time=154.04 NO POLE NO POLE x[1] = 0.363 y2[1] (analytic) = 1.3550803343017291573406511461367 y2[1] (numeric) = 1.3551328575861746852370964216503 absolute error = 5.25232844455278964452755136e-05 relative error = 0.0038760273554256150667047227538273 % h = 0.001 y1[1] (analytic) = 1.9348357910307950249285530727796 y1[1] (numeric) = 1.9348326133720750378790124040742 absolute error = 3.1776587199870495406687054e-06 relative error = 0.00016423402620095906791911074741771 % h = 0.001 TOP MAIN SOLVE Loop memory used=1228.3MB, alloc=4.6MB, time=154.51 NO POLE NO POLE x[1] = 0.364 y2[1] (analytic) = 1.3560149923968016391329360027619 y2[1] (numeric) = 1.3560682431394674118230640805262 absolute error = 5.32507426657726901280777643e-05 relative error = 0.0039270025010306287111608009071982 % h = 0.001 y1[1] (analytic) = 1.9344802433378167846216466682912 y1[1] (numeric) = 1.9344770127927503269049132642384 absolute error = 3.2305450664577167334040528e-06 relative error = 0.00016699809044746957148814167645358 % h = 0.001 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.6MB, time=154.99 NO POLE NO POLE x[1] = 0.365 y2[1] (analytic) = 1.3569492944769113920386258627375 y2[1] (numeric) = 1.3570032807159180981852948084705 absolute error = 5.39862390067061466689457330e-05 relative error = 0.0039785008346621552504444649960883 % h = 0.001 y1[1] (analytic) = 1.9341237611646730798489713484808 y1[1] (numeric) = 1.9341204770017883915475207162274 absolute error = 3.2841628846883014506322534e-06 relative error = 0.00016980107222873235749346773324766 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1235.9MB, alloc=4.6MB, time=155.46 x[1] = 0.366 y2[1] (analytic) = 1.357883239607756413806471900903 y2[1] (numeric) = 1.3579379694476549843210780800411 absolute error = 5.47298398985705146061791381e-05 relative error = 0.0040305262118398335310457074703996 % h = 0.001 y1[1] (analytic) = 1.9337663448678460540473851142766 y1[1] (numeric) = 1.9337630063476000698088915293006 absolute error = 3.3385202459842384935849760e-06 relative error = 0.00017264341448720339469229637833448 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.367 y2[1] (analytic) = 1.3588168268553916514202106588722 y2[1] (numeric) = 1.3588723084675282592912507819617 absolute error = 5.54816121366078710401230895e-05 relative error = 0.0040830825053149234530497383705265 % h = 0.001 y1[1] (analytic) = 1.9334079948047519742592233578357 y1[1] (numeric) = 1.9334046011794637106377301041711 absolute error = 3.3936252882636214932536646e-06 relative error = 0.00017552556404973031528873580756736 % h = 0.001 TOP MAIN SOLVE Loop memory used=1239.8MB, alloc=4.6MB, time=155.93 NO POLE NO POLE x[1] = 0.368 y2[1] (analytic) = 1.3597500552862299350435392325448 y2[1] (numeric) = 1.3598062969091119951618600385836 absolute error = 5.62416228820601183208060388e-05 relative error = 0.004136173605098412832764683125412 % h = 0.001 y1[1] (analytic) = 1.9330487113337408737160616048967 y1[1] (numeric) = 1.9330452618475244510133243049637 absolute error = 3.4494862164227027372999330e-06 relative error = 0.00017844797165213023530370433690963 % h = 0.001 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.6MB, time=156.41 NO POLE NO POLE x[1] = 0.369 y2[1] (analytic) = 1.3606829239670429116072073094816 y2[1] (numeric) = 1.3607399339067060805878881528792 absolute error = 5.70099396631689806808433976e-05 relative error = 0.0041898034184891275887694692069773 % h = 0.001 y1[1] (analytic) = 1.9326884948140961934887121457059 y1[1] (numeric) = 1.9326849887027934910957185194135 absolute error = 3.5061113027023929936262924e-06 relative error = 0.00018141109196387300474000210470399 % h = 0.001 TOP MAIN SOLVE Loop memory used=1247.4MB, alloc=4.6MB, time=156.90 NO POLE NO POLE x[1] = 0.37 y2[1] (analytic) = 1.3616154319649619780372924691272 y2[1] (numeric) = 1.3616732185953381540381053241644 absolute error = 5.77866303761760008128550372e-05 relative error = 0.0042439758701018457618592361803757 % h = 0.001 y1[1] (analytic) = 1.9323273456060344232038129044909 y1[1] (numeric) = 1.9323237820971473674424823523884 absolute error = 3.5635088870557613305521025e-06 relative error = 0.00018441538361287024192967395107237 % h = 0.001 TOP MAIN SOLVE Loop memory used=1251.2MB, alloc=4.6MB, time=157.37 NO POLE NO POLE x[1] = 0.371 y2[1] (analytic) = 1.3625475783474792141237255176854 y2[1] (numeric) = 1.3626061501107655366601161543255 absolute error = 5.85717632863225363906366401e-05 relative error = 0.0042986949018954158772101090907193 % h = 0.001 y1[1] (analytic) = 1.9319652640707047408273678308622 y1[1] (numeric) = 1.9319616423833272242924342919816 absolute error = 3.6216873775165349335388806e-06 relative error = 0.00018746130921037050802327973488584 % h = 0.001 TOP MAIN SOLVE Loop memory used=1255.0MB, alloc=4.6MB, time=157.85 NO POLE NO POLE x[1] = 0.372 y2[1] (analytic) = 1.3634793621824483150281329891974 y2[1] (numeric) = 1.3635387275894771647846663057691 absolute error = 5.93654070288497565333165717e-05 relative error = 0.0043539644732008801549456851212118 % h = 0.001 y1[1] (analytic) = 1.9316022505701886515155990295735 y1[1] (numeric) = 1.9315985699149380829166806212337 absolute error = 3.6806552505685989184083398e-06 relative error = 0.00019054933537596097915894494275879 % h = 0.001 TOP MAIN SOLVE Loop memory used=1258.8MB, alloc=4.6MB, time=158.33 NO POLE NO POLE x[1] = 0.373 y2[1] (analytic) = 1.364410782538085523430064305059 y2[1] (numeric) = 1.3644709501686955220682760266234 absolute error = 6.01676306099986382117215644e-05 relative error = 0.0044097885607496030731639999202954 % h = 0.001 y1[1] (analytic) = 1.9312383054674996255334717777569 y1[1] (numeric) = 1.9312345650464481090373307820045 absolute error = 3.7404210515164961409957524e-06 relative error = 0.00019367993276267597543311788725202 % h = 0.001 TOP MAIN SOLVE Loop memory used=1262.6MB, alloc=4.6MB, time=158.80 NO POLE NO POLE x[1] = 0.374 y2[1] (analytic) = 1.3653418384829705613106714458277 y2[1] (numeric) = 1.3654028169863785712732676118921 absolute error = 6.09785034080099625961660644e-05 relative error = 0.0044661711587014057853759672199839 % h = 0.001 y1[1] (analytic) = 1.9308734291265827352412545110794 y1[1] (numeric) = 1.9308696281331878783142513306216 absolute error = 3.8009933948569270031804578e-06 relative error = 0.00019685357608221270738483858301389 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1266.5MB, alloc=4.6MB, time=159.27 x[1] = 0.375 y2[1] (analytic) = 1.3662725290860475613729093517163 y2[1] (numeric) = 1.3663343271812216856842542232974 absolute error = 6.17980951741243113448715811e-05 relative error = 0.0045231162786727068922142274921198 % h = 0.001 y1[1] (analytic) = 1.9305076219123142911494767922296 y1[1] (numeric) = 1.9305037595313496399002215576888 absolute error = 3.8623809646512492552345408e-06 relative error = 0.00020007074413025460230105587746895 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.376 y2[1] (analytic) = 1.3672028534166259980973256316518 y2[1] (numeric) = 1.3672654798926595801601578454499 absolute error = 6.26264760335820628322137981e-05 relative error = 0.0045806279497646700651949032835837 % h = 0.001 y1[1] (analytic) = 1.9301408841905014770426492067458 y1[1] (numeric) = 1.9301369595979865780648547768363 absolute error = 3.9245925148989777944299095e-06 relative error = 0.00020333191981190257425214251994404 % h = 0.001 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.6MB, time=159.75 NO POLE NO POLE x[1] = 0.377 y2[1] (analytic) = 1.368132810544381618432508525187 y2[1] (numeric) = 1.3681962742608682418208245117429 absolute error = 6.34637164866233883159865559e-05 relative error = 0.0046387102185913590182538464020984 % h = 0.001 y1[1] (analytic) = 1.929773216327881984172110062437 y1[1] (numeric) = 1.9297692286910120718876502192386 absolute error = 3.9876368699122844598431984e-06 relative error = 0.00020663759016721460337428075048294 % h = 0.001 TOP MAIN SOLVE Loop memory used=1274.1MB, alloc=4.6MB, time=160.22 NO POLE NO POLE x[1] = 0.378 y2[1] (analytic) = 1.3690623995393573721192624268931 y2[1] (numeric) = 1.3691267094267668603673052899919 absolute error = 6.43098874094882480428630988e-05 relative error = 0.0046973671493079003207334815846745 % h = 0.001 y1[1] (analytic) = 1.9294046186921236445183646995176 y1[1] (numeric) = 1.9294005671691989530205414024163 absolute error = 4.0515229246914978232971013e-06 relative error = 0.00020998824639685399152885161229638 % h = 0.001 TOP MAIN SOLVE Loop memory used=1277.9MB, alloc=4.6MB, time=160.69 NO POLE NO POLE x[1] = 0.379 y2[1] (analytic) = 1.3699916194719643416475806491373 y2[1] (numeric) = 1.370056784532019758034871875324 absolute error = 6.51650600554163872912261867e-05 relative error = 0.0047566028236386545434662092717854 % h = 0.001 y1[1] (analytic) = 1.929035091651824063123284149087 y1[1] (numeric) = 1.9290309753921787615203077731669 absolute error = 4.1162596453016029763759201e-06 relative error = 0.00021338438388784666308838917308667 % h = 0.001 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.6MB, time=161.16 NO POLE NO POLE x[1] = 0.38 y2[1] (analytic) = 1.3709204694129826718454854663492 y2[1] (numeric) = 1.3709864987190383191778359961631 absolute error = 6.60293060556473323505298139e-05 relative error = 0.0048164213409053962275854348295304 % h = 0.001 y1[1] (analytic) = 1.9286646355765102494925308077246 y1[1] (numeric) = 1.9286604537204409997512173554457 absolute error = 4.1818560692497413134522789e-06 relative error = 0.00021682650223944788122408383461072 % h = 0.001 TOP MAIN SOLVE Loop memory used=1285.5MB, alloc=4.6MB, time=161.65 NO POLE NO POLE x[1] = 0.381 y2[1] (analytic) = 1.3718489484335624990988058520127 y2[1] (numeric) = 1.3719158511309829194852421983611 absolute error = 6.69026974204203864363463484e-05 relative error = 0.0048768268180555031636955510780983 % h = 0.001 y1[1] (analytic) = 1.9282932508366382480685797257438 y1[1] (numeric) = 1.9282890025153323843582690646295 absolute error = 4.2483213058637103106611143e-06 relative error = 0.00022031510528911875170126661731288 % h = 0.001 TOP MAIN SOLVE Loop memory used=1289.3MB, alloc=4.6MB, time=162.12 NO POLE NO POLE x[1] = 0.382 y2[1] (analytic) = 1.3727770556052248802009636886848 y2[1] (numeric) = 1.3728448409117648548265039325842 absolute error = 6.77853065399746255402438994e-05 relative error = 0.0049378233896901554670475237203091 % h = 0.001 y1[1] (analytic) = 1.9279209378035927677747050360532 y1[1] (numeric) = 1.927916622139056096311404279854 absolute error = 4.3156645366714633007561992e-06 relative error = 0.00022385070113861288782680701466612 % h = 0.001 TOP MAIN SOLVE Loop memory used=1293.2MB, alloc=4.6MB, time=162.59 NO POLE NO POLE x[1] = 0.383 y2[1] (analytic) = 1.3737047899998627208318396013306 y2[1] (numeric) = 1.3737734672060482697260532309819 absolute error = 6.86772061855488942136296513e-05 relative error = 0.0049994152080925449323970257983758 % h = 0.001 y1[1] (analytic) = 1.927547696849686810630301979607 y1[1] (numeric) = 1.927543312954671029021058196008 absolute error = 4.3838950157816092437835990e-06 relative error = 0.00022743380218017361183594035577589 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1297.0MB, alloc=4.6MB, time=163.05 x[1] = 0.384 y2[1] (analytic) = 1.3746321506897417036647899351876 y2[1] (numeric) = 1.374701729159252085466074620942 absolute error = 6.95784695103818012846857544e-05 relative error = 0.0050616064432560951502672467587545 % h = 0.001 y1[1] (analytic) = 1.9271735283481612994379159120923 y1[1] (numeric) = 1.9271690753260910345254224065008 absolute error = 4.4530220702649124935055915e-06 relative error = 0.00023106492512284206965573559550217 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.385 y2[1] (analytic) = 1.3755591367475012161008867712188 y2[1] (numeric) = 1.375629625917551927816394286364 absolute error = 7.04891700507117155075151452e-05 relative error = 0.0051244012829126928643984756189828 % h = 0.001 y1[1] (analytic) = 1.9267984326731847045423506047928 y1[1] (numeric) = 1.9267939096180841677497910970926 absolute error = 4.5230551005367925595077002e-06 relative error = 0.00023474459101887663763825017549529 % h = 0.001 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.6MB, time=163.55 NO POLE NO POLE x[1] = 0.386 y2[1] (analytic) = 1.3764857472461552776294532449923 y2[1] (numeric) = 1.3765571566278820543905958503717 absolute error = 7.14093817267767611426053794e-05 relative error = 0.0051878039325609310482412373418553 % h = 0.001 y1[1] (analytic) = 1.9264224101998526696622290804899 y1[1] (numeric) = 1.9264178161962719288383641598813 absolute error = 4.5940035807408238649206086e-06 relative error = 0.00023847332529028400151842525108509 % h = 0.001 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.6MB, time=164.02 NO POLE NO POLE x[1] = 0.387 y2[1] (analytic) = 1.3774119812590934668139668085286 y2[1] (numeric) = 1.3774843204379372816274345177256 absolute error = 7.23391788438148134677091970e-05 relative error = 0.0052518186154943641764390588269721 % h = 0.001 y1[1] (analytic) = 1.9260454613041876367943811528091 y1[1] (numeric) = 1.9260407954271285035588814649877 absolute error = 4.6658770591332354996878214e-06 relative error = 0.00024225165775546228951998077936649 % h = 0.001 TOP MAIN SOLVE Loop memory used=1308.4MB, alloc=4.6MB, time=164.49 NO POLE NO POLE x[1] = 0.388 y2[1] (analytic) = 1.3783378378600818479024034492912 y2[1] (numeric) = 1.3784111164961749113966216803899 absolute error = 7.32786360930634942182310987e-05 relative error = 0.0053164495728297761653507684535865 % h = 0.001 y1[1] (analytic) = 1.9256675863631384701914327645926 y1[1] (numeric) = 1.925662847677980001780463455557 absolute error = 4.7386851584684109693090356e-06 relative error = 0.00024608012265595664320700640905328 % h = 0.001 TOP MAIN SOLVE Loop memory used=1312.2MB, alloc=4.6MB, time=164.97 NO POLE NO POLE x[1] = 0.389 y2[1] (analytic) = 1.3792633161232638970610962560513 y2[1] (numeric) = 1.3793375439518166572280524557581 absolute error = 7.42278285527601669561997068e-05 relative error = 0.0053817010635354614547805049556042 % h = 0.001 y1[1] (analytic) = 1.9252887857545800794129731476774 y1[1] (numeric) = 1.9252839733170036940250341594091 absolute error = 4.8124375763853879389882683e-06 relative error = 0.00024995925868332761135964004651271 % h = 0.001 TOP MAIN SOLVE Loop memory used=1316.1MB, alloc=4.6MB, time=165.44 NO POLE NO POLE x[1] = 0.39 y2[1] (analytic) = 1.3801884151231614282311820978472 y2[1] (numeric) = 1.3802636019548505701635489939406 absolute error = 7.51868316891419323668960934e-05 relative error = 0.0054475773644595197012162401624733 % h = 0.001 y1[1] (analytic) = 1.9249090598573130414506767528811 y1[1] (numeric) = 1.9249041727132272460927036380184 absolute error = 4.8871440857953579731148627e-06 relative error = 0.0002538896090061327538392116147131 % h = 0.001 TOP MAIN SOLVE Loop memory used=1319.9MB, alloc=4.6MB, time=165.92 NO POLE NO POLE x[1] = 0.391 y2[1] (analytic) = 1.381113133934675518606710559668 y2[1] (numeric) = 1.381189289656032964230192758268 absolute error = 7.61557213574456234821986000e-05 relative error = 0.0055140827703581645510245215075239 % h = 0.001 y1[1] (analytic) = 1.9245284090510632219277578250411 y1[1] (numeric) = 1.9245234462365279517614878204818 absolute error = 4.9628145352701662700045593e-06 relative error = 0.00025787172129702184410153500084949 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1323.7MB, alloc=4.6MB, time=166.39 x[1] = 0.392 y2[1] (analytic) = 1.3820374716330874337334896568294 y2[1] (numeric) = 1.3821146062068903415343193517694 absolute error = 7.71345738029078008296949400e-05 relative error = 0.0055812215939240469602102289174277 % h = 0.001 y1[1] (analytic) = 1.9241468337164813953731364236214 y1[1] (numeric) = 1.9241417942576319635617445967459 absolute error = 5.0394588494318113918268755e-06 relative error = 0.00026190614775994606071668676441043 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.393 y2[1] (analytic) = 1.3829614272940595522277432292739 y2[1] (numeric) = 1.3830395507597213169752498318337 absolute error = 7.81234656617647475066025598e-05 relative error = 0.0056489981658145935255253318127267 % h = 0.001 y1[1] (analytic) = 1.9237643342351428645706956146894 y1[1] (numeric) = 1.9237592171481135216257059706085 absolute error = 5.1170870293429449896440809e-06 relative error = 0.0002659934451574815599596461030327 % h = 0.001 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.6MB, time=166.86 NO POLE NO POLE x[1] = 0.394 y2[1] (analytic) = 1.3838849999936362901136552972144 y2[1] (numeric) = 1.3839641224675985425778328255664 absolute error = 7.91224739622524641775283520e-05 relative error = 0.0057174168346803602898998430114758 % h = 0.001 y1[1] (analytic) = 1.9233809109895470789840104849733 y1[1] (numeric) = 1.9233757152803941806124869988791 absolute error = 5.1957091528983715234860942e-06 relative error = 0.0002701341748382678232486177231178 % h = 0.001 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.6MB, time=167.33 NO POLE NO POLE x[1] = 0.395 y2[1] (analytic) = 1.384808188808245024778877040654 y2[1] (numeric) = 1.3848883204843706314428721295033 absolute error = 8.01316761256066639950888493e-05 relative error = 0.0057864819671934024833713130650413 % h = 0.001 y1[1] (analytic) = 1.9229965643631172522569305532408 y1[1] (numeric) = 1.922991289027742034708953168588 absolute error = 5.2753353752175479773846528e-06 relative error = 0.00027432890276456117492674789117172 % h = 0.001 TOP MAIN SOLVE Loop memory used=1335.1MB, alloc=4.6MB, time=167.81 NO POLE NO POLE x[1] = 0.396 y2[1] (analytic) = 1.3857309928146970185470724473521 y2[1] (numeric) = 1.3858121439646640813145148493401 absolute error = 8.11511499670627674424019880e-05 relative error = 0.0058561979480756606589062090336629 % h = 0.001 y1[1] (analytic) = 1.9226112947401999787903980783825 y1[1] (numeric) = 1.9226059387642709407068287892623 absolute error = 5.3559759290380835692891202e-06 relative error = 0.00027857819953990386760830496477809 % h = 0.001 TOP MAIN SOLVE Loop memory used=1338.9MB, alloc=4.6MB, time=168.30 NO POLE NO POLE x[1] = 0.397 y2[1] (analytic) = 1.3866534110901883418665790567684 y2[1] (numeric) = 1.3867355920638851977636755081822 absolute error = 8.21809736968558970964514138e-05 relative error = 0.0059265691801273636807372938780758 % h = 0.001 y1[1] (analytic) = 1.9222251025060648493958856873514 y1[1] (numeric) = 1.9222196648649397391564299020463 absolute error = 5.4376411251102394557853051e-06 relative error = 0.00028288264043690913404226036712377 % h = 0.001 TOP MAIN SOLVE Loop memory used=1342.8MB, alloc=4.6MB, time=168.78 NO POLE NO POLE x[1] = 0.398 y2[1] (analytic) = 1.3875754427123007961142606114002 y2[1] (numeric) = 1.3876586639382220169865719255105 absolute error = 8.32212259212208723113141103e-05 relative error = 0.0059976000842554490210855851774165 % h = 0.001 y1[1] (analytic) = 1.9218379880469040660258376694886 y1[1] (numeric) = 1.9218324677055514735974061318269 absolute error = 5.5203413525924284315376617e-06 relative error = 0.00028724280542516260618460493267616 % h = 0.001 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.6MB, time=169.26 NO POLE NO POLE x[1] = 0.399 y2[1] (analytic) = 1.3884970867590028360136288117384 y2[1] (numeric) = 1.3885813587446462282174490435934 absolute error = 8.42719856433922038202318550e-05 relative error = 0.0060692950995020008193935434806595 % h = 0.001 y1[1] (analytic) = 1.9214499517498320555815002067615 y1[1] (numeric) = 1.9214443476627526078668768325369 absolute error = 5.6040870794477146233742246e-06 relative error = 0.00029165927919924050391570010108027 % h = 0.001 TOP MAIN SOLVE Loop memory used=1350.4MB, alloc=4.6MB, time=169.73 NO POLE NO POLE x[1] = 0.4 y2[1] (analytic) = 1.3894183423086504916663117567957 y2[1] (numeric) = 1.3895036756409150957545672534582 absolute error = 8.53333322646040882554966625e-05 relative error = 0.0061416586830727061564677420383081 % h = 0.001 y1[1] (analytic) = 1.9210609940028850827985267320518 y1[1] (numeric) = 1.9210553051140322414853477994437 absolute error = 5.6888888528413131789326081e-06 relative error = 0.00029613265120684499759052513717252 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1354.2MB, alloc=4.6MB, time=170.20 x[1] = 0.401 y2[1] (analytic) = 1.3903392084399882901959470388174 y2[1] (numeric) = 1.3904256137855733805985321487582 absolute error = 8.64053455850904025851099408e-05 relative error = 0.0062146953103653299942143199038241 % h = 0.001 y1[1] (analytic) = 1.9206711151950208622107455298569 y1[1] (numeric) = 1.9206653404377213231207957454912 absolute error = 5.7747572995390899497843657e-06 relative error = 0.00030066351567705715036787174205616 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.402 y2[1] (analytic) = 1.3912596842321501770035778483565 y2[1] (numeric) = 1.3913471723379552617020430129403 absolute error = 8.74881058050846984651645838e-05 relative error = 0.0062884094749982092299489417656979 % h = 0.001 y1[1] (analytic) = 1.9202803157161181691924776156028 y1[1] (numeric) = 1.9202744540129918621313086616457 absolute error = 5.8617031263070611689539571e-06 relative error = 0.00030525247164870784802938750468494 % h = 0.001 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.6MB, time=170.67 NO POLE NO POLE x[1] = 0.403 y2[1] (analytic) = 1.3921797687646604366336308343958 y2[1] (numeric) = 1.3922683504581862568301377230284 absolute error = 8.85816935258201965068886326e-05 relative error = 0.0063628056888387663125747004822205 % h = 0.001 y1[1] (analytic) = 1.9198885959569764500797938512206 y1[1] (numeric) = 1.9198826462198561381866711037024 absolute error = 5.9497371203118931227475182e-06 relative error = 0.00030990012299886712577091197296801 % h = 0.001 TOP MAIN SOLVE Loop memory used=1361.8MB, alloc=4.6MB, time=171.14 NO POLE NO POLE x[1] = 0.404 y2[1] (analytic) = 1.3930994611174346132495548536135 y2[1] (numeric) = 1.3931891473071851430300121320873 absolute error = 8.96861897505297804572784738e-05 relative error = 0.0064378884820320428662463251464063 % h = 0.001 y1[1] (analytic) = 1.9194959563093154313711011756945 y1[1] (numeric) = 1.9194899174391659089692843701363 absolute error = 6.0388701495224018168055582e-06 relative error = 0.00031460707847145230322681475497148 % h = 0.001 TOP MAIN SOLVE Loop memory used=1365.6MB, alloc=4.6MB, time=171.62 NO POLE NO POLE x[1] = 0.405 y2[1] (analytic) = 1.3940187603707804307182001332327 y2[1] (numeric) = 1.3941095620466658767094923720264 absolute error = 9.08016758854459912922387937e-05 relative error = 0.0065136624030292537654771203728771 % h = 0.001 y1[1] (analytic) = 1.9191023971657747280074487499645 y1[1] (numeric) = 1.9190962680526116159548124573298 absolute error = 6.1291131631120526362926347e-06 relative error = 0.00031937395170595534077306696766726 % h = 0.001 TOP MAIN SOLVE Loop memory used=1369.5MB, alloc=4.6MB, time=172.10 NO POLE NO POLE x[1] = 0.406 y2[1] (analytic) = 1.3949376656053987123020177631507 y2[1] (numeric) = 1.3950295938391395133232388988327 absolute error = 9.19282337408010212211356820e-05 relative error = 0.0065901320186163621039961851119597 % h = 0.001 y1[1] (analytic) = 1.9187079189199134507329457358444 y1[1] (numeric) = 1.9187016984427215882729455998776 absolute error = 6.2204771918624600001359668e-06 relative error = 0.00032420136126628983194658689405535 % h = 0.001 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.6MB, time=172.57 NO POLE NO POLE x[1] = 0.407 y2[1] (analytic) = 1.3958561759023842999581598252254 y2[1] (numeric) = 1.395949241847916126665761483594 absolute error = 9.30659455318267076016583686e-05 relative error = 0.0066673019139426754980275646722268 % h = 0.001 y1[1] (analytic) = 1.9183125219662098125356833485036 y1[1] (numeric) = 1.9183062089928612446486741246558 absolute error = 6.3129733485678870092238478e-06 relative error = 0.00032908993066975804861703075217547 % h = 0.001 TOP MAIN SOLVE Loop memory used=1377.1MB, alloc=4.6MB, time=173.06 NO POLE NO POLE x[1] = 0.408 y2[1] (analytic) = 1.3967742903432269732435608606962 y2[1] (numeric) = 1.3968685052371067277703247347835 absolute error = 9.42148938797545267638740873e-05 relative error = 0.0067451766925494641630400022982686 % h = 0.001 y1[1] (analytic) = 1.9179162067000607341695547415594 y1[1] (numeric) = 1.9179098000872322934244662679496 absolute error = 6.4066128284407450884736098e-06 relative error = 0.00033404028841613845735268232011969 % h = 0.001 TOP MAIN SOLVE Loop memory used=1380.9MB, alloc=4.6MB, time=173.54 NO POLE NO POLE x[1] = 0.409 y2[1] (analytic) = 1.3976920080098123678250817707338 y2[1] (numeric) = 1.397787383171625183412824120222 absolute error = 9.53751618128155877423494882e-05 relative error = 0.0068237609763986012014058011393122 % h = 0.001 y1[1] (analytic) = 1.9175189735177814487573672029263 y1[1] (numeric) = 1.9175124721108719306637445251552 absolute error = 6.5014069095180936226777711e-06 relative error = 0.00033905306801689412723446335702583 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1384.7MB, alloc=4.6MB, time=174.01 x[1] = 0.41 y2[1] (analytic) = 1.3986093279844228935937976400511 y2[1] (numeric) = 1.3987058748171901342197128409193 absolute error = 9.65468327672406259152008682e-05 relative error = 0.0069030594059012255368099091194259 % h = 0.001 y1[1] (analytic) = 1.917120822816605105475642058277 y1[1] (numeric) = 1.9171142254496520363360560224128 absolute error = 6.5973669530691395860358642e-06 relative error = 0.00034412890802450245119137309706124 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.411 y2[1] (analytic) = 1.3995262493497386523825113693651 y2[1] (numeric) = 1.3996239793403269123790602936143 absolute error = 9.77299905882599965489242492e-05 relative error = 0.0069830766399464279296656233388991 % h = 0.001 y1[1] (analytic) = 1.9167217549946823723214985972821 y1[1] (numeric) = 1.9167150604902783685843333189819 absolute error = 6.6945044040037371652783002e-06 relative error = 0.00034926845206190660475690262871882 % h = 0.001 TOP MAIN SOLVE Loop memory used=1388.5MB, alloc=4.6MB, time=174.50 NO POLE NO POLE x[1] = 0.412 y2[1] (analytic) = 1.4004427711888383552855753992714 y2[1] (numeric) = 1.4005416959083694589538232442887 absolute error = 9.89247195311036682478450173e-05 relative error = 0.0070638173559299605062212042586853 % h = 0.001 y1[1] (analytic) = 1.9163217704510810379620192557123 y1[1] (numeric) = 1.9163149776202897560746429682416 absolute error = 6.7928307912818873762874707e-06 relative error = 0.00035447234885208916797919156514002 % h = 0.001 TOP MAIN SOLVE Loop memory used=1392.3MB, alloc=4.6MB, time=174.97 NO POLE NO POLE x[1] = 0.413 y2[1] (analytic) = 1.4013588925852002395801042057874 y2[1] (numeric) = 1.4014590236894622407964112212176 absolute error = 0.0001001311042620012163070154302 relative error = 0.0071452862497829702324821188894755 % h = 0.001 y1[1] (analytic) = 1.915920869585785612666494204004 y1[1] (numeric) = 1.9159139772280572884288200838829 absolute error = 6.8923577283242376741201211e-06 relative error = 0.00035974125224776833805793327829357 % h = 0.001 TOP MAIN SOLVE Loop memory used=1396.2MB, alloc=4.6MB, time=175.44 NO POLE NO POLE x[1] = 0.414 y2[1] (analytic) = 1.4022746126227029852476606464264 y2[1] (numeric) = 1.4023759618525621670636280232423 absolute error = 0.0001013492298591818159673768159 relative error = 0.0072274880360007567625265246780926 % h = 0.001 y1[1] (analytic) = 1.9155190527996969283219444100102 y1[1] (numeric) = 1.9155120597027835047403880761577 absolute error = 6.9930969134235815563338525e-06 relative error = 0.00036507582126121716212832462081936 % h = 0.001 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.6MB, time=175.92 NO POLE NO POLE x[1] = 0.415 y2[1] (analytic) = 1.4031899303856266310954996351939 y2[1] (numeric) = 1.4032925095674405053310716269062 absolute error = 0.0001025791818138742355719917123 relative error = 0.0073104274476715550892568887606219 % h = 0.001 y1[1] (analytic) = 1.9151163204946317375323231603814 y1[1] (numeric) = 1.9151092254345015801741636409599 absolute error = 7.0950601301573581595194215e-06 relative error = 0.00037047672009420622146672990836996 % h = 0.001 TOP MAIN SOLVE Loop memory used=1403.8MB, alloc=4.6MB, time=176.39 NO POLE NO POLE x[1] = 0.416 y2[1] (analytic) = 1.4041048449586534904764530253388 y2[1] (numeric) = 1.4042086660046847973060751648803 absolute error = 0.0001038210460313068296221395415 relative error = 0.0073941092365053434241082395677652 % h = 0.001 y1[1] (analytic) = 1.9147126730733223118017969413405 y1[1] (numeric) = 1.9147054748140745106499480020361 absolute error = 7.1982592478011518489393044e-06 relative error = 0.00037594461816807020025422044174591 % h = 0.001 TOP MAIN SOLVE Loop memory used=1407.6MB, alloc=4.6MB, time=176.87 NO POLE NO POLE x[1] = 0.417 y2[1] (analytic) = 1.4050193554268690666065399800501 y2[1] (numeric) = 1.4051244303357007741382720377242 absolute error = 0.0001050749088317075317320576741 relative error = 0.0074785381728626767307233982221719 % h = 0.001 y1[1] (analytic) = 1.9143081109394160388025074955377 y1[1] (numeric) = 1.9143008082331942956107063237559 absolute error = 7.3027062217431918011717818e-06 relative error = 0.0003814801901538987739027941910404 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1411.4MB, alloc=4.6MB, time=177.35 x[1] = 0.418 y2[1] (analytic) = 1.4059334608757629674793875135654 y2[1] (numeric) = 1.4060398017327142713268686114751 absolute error = 0.0001063408569513038474810979097 relative error = 0.0075637190457835463361075645245992 % h = 0.001 y1[1] (analytic) = 1.9139026344974750187272177871901 y1[1] (numeric) = 1.9138952260843811188756381286146 absolute error = 7.4084130938998515796585755e-06 relative error = 0.00038708411600285225382490909027146 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.419 y2[1] (analytic) = 1.4068471603912298203765462883469 y2[1] (numeric) = 1.4069547793687731432237083448348 absolute error = 0.0001076189775433228471620564879 relative error = 0.0076496566630162660412887669659919 % h = 0.001 y1[1] (analytic) = 1.9134962441529756597272455228257 y1[1] (numeric) = 1.9134887287609825275785424699939 absolute error = 7.5153919931321487030528318e-06 relative error = 0.00039275708097660242741001180213847 % h = 0.001 TOP MAIN SOLVE Loop memory used=1415.2MB, alloc=4.6MB, time=177.81 NO POLE NO POLE x[1] = 0.42 y2[1] (analytic) = 1.4077604530595701859727871580863 y2[1] (numeric) = 1.4078693624177491771312115818321 absolute error = 0.0001089093581789911584244237458 relative error = 0.007736355851046385152036858184585 % h = 0.001 y1[1] (analytic) = 1.9130889403123082724360887896657 y1[1] (numeric) = 1.9130813166571726091918825266652 absolute error = 7.6236551356632442062630005e-06 relative error = 0.00039849977567789903386204641865038 % h = 0.001 TOP MAIN SOLVE Loop memory used=1419.1MB, alloc=4.6MB, time=178.29 NO POLE NO POLE x[1] = 0.421 y2[1] (analytic) = 1.4086733379674914720354643513158 y2[1] (numeric) = 1.4087835500543400069942756387701 absolute error = 0.0001102120868485349588112874543 relative error = 0.0078238214551256288487318774867236 % h = 0.001 y1[1] (analytic) = 1.912680723382776663579149287984 y1[1] (numeric) = 1.9126729901679511666369552010885 absolute error = 7.7332148254969421940868955e-06 relative error = 0.00040431289608126231844951817242111 % h = 0.001 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.6MB, time=178.76 NO POLE NO POLE x[1] = 0.422 y2[1] (analytic) = 1.4095858142021088467170315963406 y2[1] (numeric) = 1.4096973414540710266852202080298 absolute error = 0.0001115272519621799681886116892 relative error = 0.0079120583393008663130226412460943 % h = 0.001 y1[1] (analytic) = 1.9122715937725977286699595476886 y1[1] (numeric) = 1.9122637496891428914805722187343 absolute error = 7.8440834548371893873289543e-06 relative error = 0.00041019714356380210962460111402035 % h = 0.001 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.6MB, time=179.24 NO POLE NO POLE x[1] = 0.423 y2[1] (analytic) = 1.410497880850946151439797895052 y2[1] (numeric) = 1.4106107357932973028808634958879 absolute error = 0.0001128549423511514410656008359 relative error = 0.0080010713864431070274782927930156 % h = 0.001 y1[1] (analytic) = 1.9118615518909010437933214328626 y1[1] (numeric) = 1.9118535956173965352186601404357 absolute error = 7.9562735045085746612924269e-06 relative error = 0.00041615322493616386538004990781744 % h = 0.001 TOP MAIN SOLVE Loop memory used=1430.5MB, alloc=4.6MB, time=179.70 NO POLE NO POLE x[1] = 0.424 y2[1] (analytic) = 1.4114095370019368133720100609405 y2[1] (numeric) = 1.4115237322492054875308149069185 absolute error = 0.000114195247268674158804845978 relative error = 0.0080908654982765256630091773146534 % h = 0.001 y1[1] (analytic) = 1.911450598147728456475764151092 y1[1] (numeric) = 1.9114425283501840786471876141641 absolute error = 8.0697975443778285765369279e-06 relative error = 0.00042218185247360213713233972624732 % h = 0.001 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.6MB, time=180.20 NO POLE NO POLE x[1] = 0.425 y2[1] (analytic) = 1.4123207817434247574943495453043 y2[1] (numeric) = 1.4124363299998157299160704837858 absolute error = 0.0001155482563909724217209384815 relative error = 0.0081814455954075159674187371218228 % h = 0.001 y1[1] (analytic) = 1.9110387329540336756437308970901 y1[1] (numeric) = 1.9110305482857998993208291066094 absolute error = 8.1846682337763229017904807e-06 relative error = 0.00042828374394718190134654980716772 % h = 0.001 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.6MB, time=180.67 NO POLE NO POLE x[1] = 0.426 y2[1] (analytic) = 1.4132316141641653182559314852307 y2[1] (numeric) = 1.4133485282239835882969977082947 absolute error = 0.000116914059818270041066223064 relative error = 0.0082728166173537740670450820511172 % h = 0.001 y1[1] (analytic) = 1.9106259567216818606699041723951 y1[1] (numeric) = 1.9106176558233599370997752685408 absolute error = 8.3008983219235701289038543e-06 relative error = 0.00043445962265510821105305997622074 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1441.9MB, alloc=4.6MB, time=181.14 x[1] = 0.427 y2[1] (analytic) = 1.4141420333533261508188943174277 y2[1] (numeric) = 1.4142603261014019411497966674493 absolute error = 0.0001182927480757903309023500216 relative error = 0.0083649835225734115920594116714163 % h = 0.001 y1[1] (analytic) = 1.910212269863449209508080734783 y1[1] (numeric) = 1.9102038513628008577851010011173 absolute error = 8.4185006483517229797336657e-06 relative error = 0.00044071021745418462134818195634071 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.428 y2[1] (analytic) = 1.415052038400488141890668713393 y2[1] (numeric) = 1.4151717228126028979905249869747 absolute error = 0.0001196844121147560998562735817 relative error = 0.0084579512884940990346084849538912 % h = 0.001 y1[1] (analytic) = 1.9097976727930225459170080424865 y1[1] (numeric) = 1.9097891353048792148431032031152 absolute error = 8.5374881433310739048393713e-06 relative error = 0.00044703626279140084492043290101111 % h = 0.001 TOP MAIN SOLVE Loop memory used=1445.8MB, alloc=4.6MB, time=181.62 NO POLE NO POLE x[1] = 0.429 y2[1] (analytic) = 1.4159616283956463201430150037265 y2[1] (numeric) = 1.4160827175389597097857743342835 absolute error = 0.000121089143313389642759330557 relative error = 0.0085517249115422397476197836974183 % h = 0.001 y1[1] (analytic) = 1.9093821659249989057735949693482 y1[1] (numeric) = 1.9093735080511706092190210914376 absolute error = 8.6578738282965545738779106e-06 relative error = 0.00045343849873565009560131357756499 % h = 0.001 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.6MB, time=182.09 NO POLE NO POLE x[1] = 0.43 y2[1] (analytic) = 1.4168708024292107662169186726246 y2[1] (numeric) = 1.4169933094626886789490866932149 absolute error = 0.0001225070334779127321680205903 relative error = 0.0086463094071721749907308330210315 % h = 0.001 y1[1] (analytic) = 1.9089657496748851224759104776634 y1[1] (numeric) = 1.9089569700040688472405528992688 absolute error = 8.7796708162752353575783946e-06 relative error = 0.00045991767100957657990421381217091 % h = 0.001 TOP MAIN SOLVE Loop memory used=1453.4MB, alloc=4.6MB, time=182.53 NO POLE NO POLE x[1] = 0.431 y2[1] (analytic) = 1.4177795595920075223124339177373 y2[1] (numeric) = 1.4179034977668510689221990140406 absolute error = 0.0001239381748435466097650963033 relative error = 0.0087417098098954204284582613025048 % h = 0.001 y1[1] (analytic) = 1.90854842445909741143638484568 y1[1] (numeric) = 1.908539521566785096611583667833 absolute error = 8.9028923123148248011778470e-06 relative error = 0.0004664745310215535984874690512454 % h = 0.001 TOP MAIN SOLVE Loop memory used=1457.2MB, alloc=4.6MB, time=182.73 NO POLE NO POLE x[1] = 0.432 y2[1] (analytic) = 1.4186878989752795013625656856203 y2[1] (numeric) = 1.4188132816353550133402052442158 absolute error = 0.0001253826600755119776395585955 relative error = 0.008837931173309934484387539021925 % h = 0.001 y1[1] (analytic) = 1.9081301906949609536656289565175 y1[1] (numeric) = 1.9081211631433470404965397589134 absolute error = 9.0275516139131690891976041e-06 relative error = 0.00047310983589779272145767012014652 % h = 0.001 TOP MAIN SOLVE Loop memory used=1461.0MB, alloc=4.6MB, time=182.94 NO POLE NO POLE x[1] = 0.433 y2[1] (analytic) = 1.4195958196706873957902810089753 y2[1] (numeric) = 1.4197226602529574247797251481567 absolute error = 0.0001268405822700289894441391814 relative error = 0.0089349785701294189538408674683553 % h = 0.001 y1[1] (analytic) = 1.9077110488007094784472880646543 y1[1] (numeric) = 1.9077018951385980296957866260803 absolute error = 9.1536621114487515014385740e-06 relative error = 0.00047982434851458450341712056943589 % h = 0.001 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.6MB, time=183.13 NO POLE NO POLE x[1] = 0.434 y2[1] (analytic) = 1.4205033207703105858477408887429 y2[1] (numeric) = 1.4206316328052659030891697279449 absolute error = 0.000128312034955317241428839202 relative error = 0.0090328570922126522761683308008764 % h = 0.001 y1[1] (analytic) = 1.9072909991954848451043473650912 y1[1] (numeric) = 1.9072817179581962329124872929665 absolute error = 9.2812372886121918600721247e-06 relative error = 0.00048661883753067120615487769783093 % h = 0.001 TOP MAIN SOLVE Loop memory used=1468.6MB, alloc=4.6MB, time=183.33 NO POLE NO POLE x[1] = 0.435 y2[1] (analytic) = 1.4214104013666480475368443818927 y2[1] (numeric) = 1.421540198478740643300193461294 absolute error = 0.0001297971120925957633490794013 relative error = 0.009131571850592855866506115912791 % h = 0.001 y1[1] (analytic) = 1.9068700422993366238573075988539 y1[1] (numeric) = 1.9068606320086137851113398969151 absolute error = 9.4102907228387459677019388e-06 relative error = 0.00049349407741975199888414238383382 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.436 y2[1] (analytic) = 1.4223170605526192601101769744414 y2[1] (numeric) = 1.4224483564606963431194239783659 absolute error = 0.0001312959080770830092470039245 relative error = 0.0092311279755070939055552819848331 % h = 0.001 y1[1] (analytic) = 1.9064481785332216757746498366219 y1[1] (numeric) = 1.9064386376971359339696135659054 absolute error = 9.5408360857418050362707165e-06 relative error = 0.00050045084850312110793991485147318 % h = 0.001 TOP MAIN SOLVE Loop memory used=1472.5MB, alloc=4.6MB, time=183.53 NO POLE NO POLE x[1] = 0.437 y2[1] (analytic) = 1.4232232974215651131514557388264 y2[1] (numeric) = 1.4233561059393041099995602050876 absolute error = 0.0001328085177389968481044662612 relative error = 0.0093315306164257069846551629593069 % h = 0.001 y1[1] (analytic) = 1.9060254083190037318160094899842 y1[1] (numeric) = 1.9060157354318601844209028058376 absolute error = 9.6728871435473951066841466e-06 relative error = 0.00050748993698243938986984637746288 % h = 0.001 TOP MAIN SOLVE Loop memory used=1476.3MB, alloc=4.6MB, time=183.73 NO POLE NO POLE x[1] = 0.438 y2[1] (analytic) = 1.4241291110672488132345641952656 y2[1] (numeric) = 1.424263446103593367788930407499 absolute error = 0.0001343350363445545543662122334 relative error = 0.0094327849420817800021569506957961 % h = 0.001 y1[1] (analytic) = 1.9056017320794529709684805071144 y1[1] (numeric) = 1.9055919256216954412920214840275 absolute error = 9.8064577575296764590230869e-06 relative error = 0.00051461213497263980387812733547418 % h = 0.001 TOP MAIN SOLVE Loop memory used=1480.1MB, alloc=4.6MB, time=183.93 NO POLE NO POLE x[1] = 0.439 y2[1] (analytic) = 1.425034500583856790160270218143 y2[1] (numeric) = 1.4251703761434537629586019793536 absolute error = 0.0001358755595969727983317612106 relative error = 0.0095348961405006447058452730545863 % h = 0.001 y1[1] (analytic) = 1.9051771502382455974764716165229 y1[1] (numeric) = 1.9051672086763611500334584031215 absolute error = 9.9415618844474430132134014e-06 relative error = 0.00052181824053496726161709722625098 % h = 0.001 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.6MB, time=184.12 NO POLE NO POLE x[1] = 0.44 y2[1] (analytic) = 1.4259394650659996027697207507799 y2[1] (numeric) = 1.4260768952496370704061352236962 absolute error = 0.0001374301836374676364144729163 relative error = 0.0096378694190294172749085886184026 % h = 0.001 y1[1] (analytic) = 1.9047516632199634171655373889984 y1[1] (numeric) = 1.9047415850063864355438173675992 absolute error = 1.00782135769816217200213992e-05 relative error = 0.00052910905771015333436408033474471 % h = 0.001 TOP MAIN SOLVE Loop memory used=1487.7MB, alloc=4.6MB, time=184.32 NO POLE NO POLE x[1] = 0.441 y2[1] (analytic) = 1.4268440036087128443338075151701 y2[1] (numeric) = 1.4269830026137590988350737884568 absolute error = 0.0001389990050462545012662732867 relative error = 0.0097417100043665713337229091643422 % h = 0.001 y1[1] (analytic) = 1.9043252714500934128606077938682 y1[1] (numeric) = 1.9043150550231092390886655525723 absolute error = 1.02164269841737719422412959e-05 relative error = 0.00053648539655172629967177836801479 % h = 0.001 TOP MAIN SOLVE Loop memory used=1491.5MB, alloc=4.6MB, time=184.52 NO POLE NO POLE x[1] = 0.442 y2[1] (analytic) = 1.4277481153074580475174983273898 y2[1] (numeric) = 1.4278886974283015957092648262238 absolute error = 0.000140582120843548191766498834 relative error = 0.0098464231425915467884876712995269 % h = 0.001 y1[1] (analytic) = 1.9038979753550273188990408313166 y1[1] (numeric) = 1.9038876191386754533142148917256 absolute error = 1.03562163518655848259395910e-05 relative error = 0.00054394807315945701163942766572616 % h = 0.001 TOP MAIN SOLVE Loop memory used=1495.3MB, alloc=4.6MB, time=184.72 NO POLE NO POLE x[1] = 0.443 y2[1] (analytic) = 1.4286517992581235889182290544272 y2[1] (numeric) = 1.4287939788866141517811023592926 absolute error = 0.0001421796284905628628733048654 relative error = 0.0099520140991943948765374514668776 % h = 0.001 y1[1] (analytic) = 1.9034697753620611947389237276696 y1[1] (numeric) = 1.9034592777660380553562621079692 absolute error = 1.04975960231393826616197004e-05 relative error = 0.00055149790971294108101889009701117 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1499.2MB, alloc=4.6MB, time=184.91 x[1] = 0.444 y2[1] (analytic) = 1.4295550545570255931774516741134 y2[1] (numeric) = 1.4296988461829161051927877428279 absolute error = 0.0001437916258905120153360687145 relative error = 0.010058488159105459816948594959844 % h = 0.001 y1[1] (analytic) = 1.9030406718993949976630490853117 y1[1] (numeric) = 1.9030300313189562380448139166856 absolute error = 1.06405804387596182351686261e-05 relative error = 0.00055913573450531785344493303547899 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.445 y2[1] (analytic) = 1.4304578803009088366644343266839 y2[1] (numeric) = 1.4306032985122984451497015315279 absolute error = 0.000145418211389608485267204844 relative error = 0.010165850626725097449865650513273 % h = 0.001 y1[1] (analytic) = 1.9026106653961321545789932832218 y1[1] (numeric) = 1.9025998802119945392048248373535 absolute error = 1.07851841376153741684458683e-05 relative error = 0.00056686238197712667616220229132645 % h = 0.001 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.6MB, time=185.11 NO POLE NO POLE x[1] = 0.446 y2[1] (analytic) = 1.4313602755869476507314096742436 y2[1] (numeric) = 1.4315073350707257151649814685339 absolute error = 0.0001470594837780644335717942903 relative error = 0.010274106825953431250788710355398 % h = 0.001 y1[1] (analytic) = 1.9021797562822791329157253280146 y1[1] (numeric) = 1.9021688248605219690534759548219 absolute error = 1.09314217571638622493731927e-05 relative error = 0.00057467869275030094571284134299431 % h = 0.001 TOP MAIN SOLVE Loop memory used=1506.8MB, alloc=4.6MB, time=185.31 NO POLE NO POLE x[1] = 0.447 y2[1] (analytic) = 1.4322622395127468245391683130648 y2[1] (numeric) = 1.43241095505503791587440172949 absolute error = 0.0001487155422910913352334164252 relative error = 0.010383262100220146104889292548902 % h = 0.001 y1[1] (analytic) = 1.9017479449887450106171752588427 y1[1] (numeric) = 1.9017368656807111356944238765789 absolute error = 1.10793080338749227513822638e-05 relative error = 0.00058258551366230043114839967372071 % h = 0.001 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.6MB, time=185.51 NO POLE NO POLE x[1] = 0.448 y2[1] (analytic) = 1.4331637711763425074521944131981 y2[1] (numeric) = 1.4333141576629524074206489696267 absolute error = 0.0001503864866098999684545564286 relative error = 0.010493321812514320225259212304334 % h = 0.001 y1[1] (analytic) = 1.9013152319473410452331921125551 y1[1] (numeric) = 1.9013040030895373687094500370211 absolute error = 1.12288578036765237420755340e-05 relative error = 0.0005905836978003823694376408772411 % h = 0.001 TOP MAIN SOLVE Loop memory used=1514.4MB, alloc=4.6MB, time=185.71 NO POLE NO POLE x[1] = 0.449 y2[1] (analytic) = 1.4340648696762031110024411903364 y2[1] (numeric) = 1.4342169420930658114060911375094 absolute error = 0.000152072416862700403649947173 relative error = 0.01060429134541429559784391311193 % h = 0.001 y1[1] (analytic) = 1.9008816175907802421083223581184 y1[1] (numeric) = 1.9008702375047778408479414039741 absolute error = 1.13800860024012603809541443e-05 relative error = 0.0005986741045360118318581468356176 % h = 0.001 TOP MAIN SOLVE Loop memory used=1518.2MB, alloc=4.6MB, time=185.91 NO POLE NO POLE x[1] = 0.45 y2[1] (analytic) = 1.4349655341112302104208442462319 y2[1] (numeric) = 1.4351193075448559124131354356703 absolute error = 0.0001537734336257019922911894384 relative error = 0.010716176101117587334668912202813 % h = 0.001 y1[1] (analytic) = 1.9004471023526769216688406114864 y1[1] (numeric) = 1.900435569345010687814634546541 absolute error = 1.15330076662338542060649454e-05 relative error = 0.000606857599559411862284256938957 % h = 0.001 TOP MAIN SOLVE Loop memory used=1522.0MB, alloc=4.6MB, time=186.10 NO POLE NO POLE x[1] = 0.451 y2[1] (analytic) = 1.4358657635807594457356712462275 y2[1] (numeric) = 1.436021253218683559091272225716 absolute error = 0.0001554896379241133556009794885 relative error = 0.01082898150147083231583530087555 % h = 0.001 y1[1] (analytic) = 1.9000116866675462858084653438511 y1[1] (numeric) = 1.8999999990296141261560559267691 absolute error = 1.16876379321596524094170820e-05 relative error = 0.00061513505491425389041692012425826 % h = 0.001 TOP MAIN SOLVE Loop memory used=1525.9MB, alloc=4.6MB, time=186.30 NO POLE NO POLE x[1] = 0.452 y2[1] (analytic) = 1.4367655571845614224368068356284 y2[1] (numeric) = 1.4369227783157945648099020936808 absolute error = 0.0001572211312331423730952580524 relative error = 0.010942712987999777499637573463564 % h = 0.001 y1[1] (analytic) = 1.8995753709708039833731931975225 y1[1] (numeric) = 1.8995635269787655692460921806161 absolute error = 1.18439920384141271010169064e-05 relative error = 0.00062350734903248892514251250467837 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1529.7MB, alloc=4.6MB, time=186.50 x[1] = 0.453 y2[1] (analytic) = 1.4376649140228426117050721307038 y2[1] (numeric) = 1.4378238820383216078760437103758 absolute error = 0.000158968015478996170971579672 relative error = 0.011057376021939308279044384082111 % h = 0.001 y1[1] (analytic) = 1.899138155698765674745686424569 y1[1] (numeric) = 1.8991261536134407413711250562746 absolute error = 1.20020853249333745613682944e-05 relative error = 0.00063197536676932003535762403304973 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.454 y2[1] (analytic) = 1.4385638331962462502056785550742 y2[1] (numeric) = 1.4387245635892861313160205412589 absolute error = 0.0001607303930398811103419861847 relative error = 0.011172976084263517261680092313773 % h = 0.001 y1[1] (analytic) = 1.898700041288646595529648863792 y1[1] (numeric) = 1.8986878793554127899151665800664 absolute error = 1.21619332338056144822837256e-05 relative error = 0.0006405399994383166277552838952884 % h = 0.001 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.6MB, time=186.70 NO POLE NO POLE x[1] = 0.455 y2[1] (analytic) = 1.4394623138058532394449162281053 y2[1] (numeric) = 1.439624822172600242220224880929 absolute error = 0.0001625083667470027753086528237 relative error = 0.011289518675715813849352103926638 % h = 0.001 y1[1] (analytic) = 1.8982610281785611193346267716233 y1[1] (numeric) = 1.898248704627251395645430921855 absolute error = 1.23235513097236891958497683e-05 relative error = 0.00064920214484667103323511667701987 % h = 0.001 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.6MB, time=186.89 NO POLE NO POLE x[1] = 0.456 y2[1] (analytic) = 1.4403603549531830446891775486958 y2[1] (numeric) = 1.4405246569930686106500581087226 absolute error = 0.0001643020398855659608805600268 relative error = 0.01140700931683907499208598600595 % h = 0.001 y1[1] (analytic) = 1.8978211168075223196616717221096 y1[1] (numeric) = 1.8978086298523218810987803332391 absolute error = 1.24869552004385628913888705e-05 relative error = 0.00065796270733059791577553982898831 % h = 0.001 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.6MB, time=187.09 NO POLE NO POLE x[1] = 0.457 y2[1] (analytic) = 1.4412579557401945934454170555095 y2[1] (numeric) = 1.44142406725639036810614648406 absolute error = 0.0001661115161957746607294285505 relative error = 0.011525453548005837490557083949825 % h = 0.001 y1[1] (analytic) = 1.8973803076154415308903036902821 y1[1] (numeric) = 1.8973676554547843170694834326811 absolute error = 1.26521606572138208202576010e-05 relative error = 0.00066682259779087701979036799780681 % h = 0.001 TOP MAIN SOLVE Loop memory used=1544.9MB, alloc=4.6MB, time=187.29 NO POLE NO POLE x[1] = 0.458 y2[1] (analytic) = 1.442155115269287173502149083267 y2[1] (numeric) = 1.442323052169161005556932223158 absolute error = 0.000167936899873832054783139891 relative error = 0.011644856929448532219743837456519 % h = 0.001 y1[1] (analytic) = 1.8969386010431279083672133319129 y1[1] (numeric) = 1.896925781859592627198725012196 absolute error = 1.28191835352811684883197169e-05 relative error = 0.0006757827337285397741851225580827 % h = 0.001 TOP MAIN SOLVE Loop memory used=1548.8MB, alloc=4.6MB, time=187.48 NO POLE NO POLE x[1] = 0.459 y2[1] (analytic) = 1.443051832643301330530085174175 y2[1] (numeric) = 1.4432216109388742710267400224878 absolute error = 0.0001697782955729404966548483128 relative error = 0.011765225041289760645574130684517 % h = 0.001 y1[1] (analytic) = 1.8964959975322879875971433709198 y1[1] (numeric) = 1.8964830094924936906663074402712 absolute error = 1.29880397942969308359306486e-05 relative error = 0.00068484403928070027352999570042433 % h = 0.001 TOP MAIN SOLVE Loop memory used=1552.6MB, alloc=4.6MB, time=187.68 NO POLE NO POLE x[1] = 0.46 y2[1] (analytic) = 1.4439481069655197652415136439289 y2[1] (numeric) = 1.4441197427739240667424196189133 absolute error = 0.0001716358084043015009059749844 relative error = 0.011886563483572614005291766035576 % h = 0.001 y1[1] (analytic) = 1.8960524975255252425363899035004 y1[1] (numeric) = 1.8960393387800264429849846353118 absolute error = 1.31587454987995514052681886e-05 relative error = 0.00069400744525653115897682868008082 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1556.4MB, alloc=4.6MB, time=187.88 x[1] = 0.461 y2[1] (analytic) = 1.4448439373396682301075241429856 y2[1] (numeric) = 1.4450174468836063458376654017963 absolute error = 0.0001735095439381157301412588107 relative error = 0.012008877876291035521235468746524 % h = 0.001 y1[1] (analytic) = 1.895608101466339642989365325457 y1[1] (numeric) = 1.8955947701495209748978704831021 absolute error = 1.33313168186680914948423549e-05 relative error = 0.00070327388917338492376667506575243 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.462 y2[1] (analytic) = 1.4457393228699164256321804959556 y2[1] (numeric) = 1.4459147224781210086141145184966 absolute error = 0.000175399608204582981934022541 relative error = 0.012132173859420226016697659430055 % h = 0.001 y1[1] (analytic) = 1.8951628097991272111086654861145 y1[1] (numeric) = 1.8951493040290976293793644705459 absolute error = 1.35057700295817293010155686e-05 relative error = 0.00071264431529306117040257325896888 % h = 0.001 TOP MAIN SOLVE Loop memory used=1560.2MB, alloc=4.6MB, time=188.08 NO POLE NO POLE x[1] = 0.463 y2[1] (analytic) = 1.446634262660878896182745545017 y2[1] (numeric) = 1.4468115687685737983583253416311 absolute error = 0.0001773061076949021755797966141 relative error = 0.01225645709294709330151452203823 % h = 0.001 y1[1] (analytic) = 1.8947166229691795769990845687246 y1[1] (numeric) = 1.8947029408476660967400382062943 absolute error = 1.36821215134802590463624303e-05 relative error = 0.0007221196746582203487990894206199 % h = 0.001 TOP MAIN SOLVE Loop memory used=1564.0MB, alloc=4.6MB, time=188.28 NO POLE NO POLE x[1] = 0.464 y2[1] (analytic) = 1.4475287558176159253750621672001 y2[1] (numeric) = 1.4477079849669781967137385941793 absolute error = 0.0001792291493622713386764269792 relative error = 0.012381733256900745694032594459346 % h = 0.001 y1[1] (analytic) = 1.8942695414226835334260220933066 y1[1] (numeric) = 1.8942556810349245078359273967861 absolute error = 1.38603877590255900946965205e-05 relative error = 0.00073170092512894450696605512564531 % h = 0.001 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.6MB, time=188.47 NO POLE NO POLE x[1] = 0.465 y2[1] (analytic) = 1.4484228014456344310131950802375 y2[1] (numeric) = 1.4486039702862573186067238570397 absolute error = 0.0001811688406228875935287768022 relative error = 0.01250800805138303004510016733225 % h = 0.001 y1[1] (analytic) = 1.8938215656067205896287273334791 y1[1] (numeric) = 1.8938075250213585253826747437171 absolute error = 1.40405853620642460525897620e-05 relative error = 0.00074138903141944558803875438918485 % h = 0.001 TOP MAIN SOLVE Loop memory used=1571.6MB, alloc=4.6MB, time=188.67 NO POLE NO POLE x[1] = 0.466 y2[1] (analytic) = 1.4493163986508888595824384974118 y2[1] (numeric) = 1.4494995239402458067258146129426 absolute error = 0.0001831252893569471433761155308 relative error = 0.012635287196599114628744143271422 % h = 0.001 y1[1] (analytic) = 1.8933726959692665242388273340021 y1[1] (numeric) = 1.8933584732382404333749701260144 absolute error = 1.42227310260908638572079877e-05 relative error = 0.00075118496513492180973065549247553 % h = 0.001 TOP MAIN SOLVE Loop memory used=1575.5MB, alloc=4.6MB, time=188.87 NO POLE NO POLE x[1] = 0.467 y2[1] (analytic) = 1.4502095465397820802947951384674 y2[1] (numeric) = 1.4503946451436917255532354107201 absolute error = 0.0001850986039096452584402722527 relative error = 0.01276357643288811726321463384196 % h = 0.001 y1[1] (analytic) = 1.8929229329591909373045856104637 y1[1] (numeric) = 1.892908526117628224611735326023 absolute error = 1.44068415627126928502844407e-05 relative error = 0.00076108970480856266455767596448715 % h = 0.001 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.6MB, time=189.07 NO POLE NO POLE x[1] = 0.468 y2[1] (analytic) = 1.4511022442191662786860325511832 y2[1] (numeric) = 1.4512893331122584549478251648095 absolute error = 0.0001870888930921762617926136263 relative error = 0.012892881520753779025110404780579 % h = 0.001 y1[1] (analytic) = 1.892472277026256801421339506815 y1[1] (numeric) = 1.8924576840923646863275014558132 absolute error = 1.45929338921150938380510018e-05 relative error = 0.00077110423593870308146495713581252 % h = 0.001 TOP MAIN SOLVE Loop memory used=1583.1MB, alloc=4.6MB, time=189.27 NO POLE NO POLE x[1] = 0.469 y2[1] (analytic) = 1.4519944907963438497634231466225 y2[1] (numeric) = 1.4521835870625265832784610365342 absolute error = 0.0001890962661827335150378899117 relative error = 0.013023208240895183918338273162816 % h = 0.001 y1[1] (analytic) = 1.8920207286211200119685650802794 y1[1] (numeric) = 1.8920059475960764839304281352861 absolute error = 1.47810250435280381369449933e-05 relative error = 0.00078122955102612729177825076260847 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1586.9MB, alloc=4.6MB, time=189.46 x[1] = 0.47 y2[1] (analytic) = 1.4528862853790682907032748003964 y2[1] (numeric) = 1.4530774062119958001070877761546 absolute error = 0.0001911208329275094038129757582 relative error = 0.013154562394237524858708662925996 % h = 0.001 y1[1] (analytic) = 1.8915682881953289364540192765334 y1[1] (numeric) = 1.8915533170631732428474143690923 absolute error = 1.49711321556936066049074411e-05 relative error = 0.00079146664961152294470232702707203 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.471 y2[1] (analytic) = 1.4537776270755450930973593224828 y2[1] (numeric) = 1.4539707897790867884204578379174 absolute error = 0.0001931627035416953230985154346 relative error = 0.013286949801962916334027690283345 % h = 0.001 y1[1] (analytic) = 1.8911149562013239629654100509787 y1[1] (numeric) = 1.8910997929288466284767519642824 absolute error = 1.51632724773344886580866963e-05 relative error = 0.00080181653831308601989834435580385 % h = 0.001 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.6MB, time=189.66 NO POLE NO POLE x[1] = 0.472 y2[1] (analytic) = 1.4546685149944326347473465492482 y2[1] (numeric) = 1.4548637369831431164096880143487 absolute error = 0.0001952219887104816623414651005 relative error = 0.013420376305541254098613328492992 % h = 0.001 y1[1] (analytic) = 1.890660733092437047730045984399 y1[1] (numeric) = 1.8906453756290694242487732250801 absolute error = 1.53574633676234812727593189e-05 relative error = 0.00081228023086427708699092019358062 % h = 0.001 TOP MAIN SOLVE Loop memory used=1594.5MB, alloc=4.6MB, time=189.86 NO POLE NO POLE x[1] = 0.473 y2[1] (analytic) = 1.4555589482448430710063522633121 y2[1] (numeric) = 1.4557562470444331287967387708378 absolute error = 0.0001972987995900577903865075257 relative error = 0.013554847766761122260239345325523 % h = 0.001 y1[1] (analytic) = 1.8902056193228912617829178333128 y1[1] (numeric) = 1.8901900656005946077949455552039 absolute error = 1.55537222966539879722781089e-05 relative error = 0.00082285874815172946418375172323166 % h = 0.001 TOP MAIN SOLVE Loop memory used=1598.3MB, alloc=4.6MB, time=190.06 NO POLE NO POLE x[1] = 0.474 y2[1] (analytic) = 1.4564489259363432256667085997792 y2[1] (numeric) = 1.4566483191841518377069228971406 absolute error = 0.0001993932478086120402142973614 relative error = 0.013690370067760748116595768205025 % h = 0.001 y1[1] (analytic) = 1.8897496153478003367436653469044 y1[1] (numeric) = 1.8897338632809544252258664917654 absolute error = 1.57520668459115177988551390e-05 relative error = 0.00083355311825330983050010063845991 % h = 0.001 TOP MAIN SOLVE Loop memory used=1602.2MB, alloc=4.6MB, time=190.26 NO POLE NO POLE x[1] = 0.475 y2[1] (analytic) = 1.4573384471789554813930660511461 y2[1] (numeric) = 1.4575399526244228130865505287932 absolute error = 0.0002015054454673316934844776471 relative error = 0.013826949111059005097448563879769 % h = 0.001 y1[1] (analytic) = 1.8892927216231682097028835735269 y1[1] (numeric) = 1.8892767691084594635186135879372 absolute error = 1.59525147087461842699855897e-05 relative error = 0.0008443643764763318485113200575217 % h = 0.001 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.6MB, time=190.46 NO POLE NO POLE x[1] = 0.476 y2[1] (analytic) = 1.4582275110831586696999366378509 y2[1] (numeric) = 1.4584311465883000726648180285706 absolute error = 0.0002036355051414029648813907197 relative error = 0.01396459081958646416778397601646 % h = 0.001 y1[1] (analytic) = 1.8888349386058885672182237704341 y1[1] (numeric) = 1.8888187835221977210139044543115 absolute error = 1.61550836908462043193161226e-05 relative error = 0.00085529356539592335677290933457644 % h = 0.001 TOP MAIN SOLVE Loop memory used=1609.8MB, alloc=4.6MB, time=190.65 NO POLE NO POLE x[1] = 0.477 y2[1] (analytic) = 1.4591161167598889604727882670001 y2[1] (numeric) = 1.4593219002997699714590486560458 absolute error = 0.0002057835398810109862603890457 relative error = 0.014103301136716494046334496651448 % h = 0.001 y1[1] (analytic) = 1.8883762667537443884207449206015 y1[1] (numeric) = 1.8883599069620336760235231611625 absolute error = 1.63597917107123972217594390e-05 relative error = 0.00086634173489354769355337770598322 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1613.6MB, alloc=4.6MB, time=190.85 x[1] = 0.478 y2[1] (analytic) = 1.4600042633205407510318007582506 y2[1] (numeric) = 1.4602122129837530908223933920027 absolute error = 0.0002079496632123397905926337521 relative error = 0.014243086026296410593003711712073 % h = 0.001 y1[1] (analytic) = 1.8879167065254074872319727502484 y1[1] (numeric) = 1.887900139868607353548470095677 absolute error = 1.65666568001336835026545714e-05 relative error = 0.00087750994219567971581652575492095 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.479 y2[1] (analytic) = 1.4608919498769675547373944731655 y2[1] (numeric) = 1.4611020838661061270331007239355 absolute error = 0.00021013398913857229570625077 relative error = 0.014383951472678675717836209808242 % h = 0.001 y1[1] (analytic) = 1.8874562583804380536921240299613 y1[1] (numeric) = 1.8874394826833333901082932596322 absolute error = 1.67756971046635838307703291e-05 relative error = 0.00088879925191263707980265861779982 % h = 0.001 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.6MB, time=191.05 NO POLE NO POLE x[1] = 0.48 y2[1] (analytic) = 1.4617791755414828891366429425886 y2[1] (numeric) = 1.4619915121736237794244646391153 absolute error = 0.0002123366321408902878216965267 relative error = 0.014525903480752146163316331604717 % h = 0.001 y1[1] (analytic) = 1.8869949227792841943999548311587 y1[1] (numeric) = 1.8869779358484000966820598839736 absolute error = 1.69869308840977178949471851e-05 relative error = 0.00090021073607756735194877280210335 % h = 0.001 TOP MAIN SOLVE Loop memory used=1621.2MB, alloc=4.6MB, time=191.25 NO POLE NO POLE x[1] = 0.481 y2[1] (analytic) = 1.4626659394268611636496813457004 y2[1] (numeric) = 1.4628804971340406380545605127361 absolute error = 0.0002145577071794744048791670357 relative error = 0.014668948075973372510925719653985 % h = 0.001 y1[1] (analytic) = 1.8865327001832814720646922980094 y1[1] (numeric) = 1.8865154998067685197614281272775 absolute error = 1.72003765129523032641707319e-05 relative error = 0.00091174547418559152129195378636276 % h = 0.001 TOP MAIN SOLVE Loop memory used=1625.0MB, alloc=4.6MB, time=191.44 NO POLE NO POLE x[1] = 0.482 y2[1] (analytic) = 1.4635522406463385667952231544191 y2[1] (numeric) = 1.4637690379760330709148790204502 absolute error = 0.0002167973296945041196558660311 relative error = 0.014813091304397948762044360111134 % h = 0.001 y1[1] (analytic) = 1.8860695910546524441705103828338 y1[1] (numeric) = 1.886052175002171500516279515176 absolute error = 1.74160524809436542308676578e-05 relative error = 0.00092340455323310448691413022956719 % h = 0.001 TOP MAIN SOLVE Loop memory used=1628.9MB, alloc=4.6MB, time=191.64 NO POLE NO POLE x[1] = 0.483 y2[1] (analytic) = 1.4644380783136139529542977177052 y2[1] (numeric) = 1.4646571339292211106769686471802 absolute error = 0.000219055615607157722670929475 relative error = 0.014958339232711912842443043771745 % h = 0.001 y1[1] (analytic) = 1.8856055958565062007540108804759 y1[1] (numeric) = 1.8855879618791127320733736674703 absolute error = 1.76339773934686806372130056e-05 relative error = 0.00093518906775723309640999850007794 % h = 0.001 TOP MAIN SOLVE Loop memory used=1632.7MB, alloc=4.6MB, time=191.83 NO POLE NO POLE x[1] = 0.484 y2[1] (analytic) = 1.4653234515428497286713220221064 y2[1] (numeric) = 1.4655447842241703409761978074397 absolute error = 0.0002213326813206123048757853333 relative error = 0.015104697948263198378786870072232 % h = 0.001 y1[1] (analytic) = 1.8851407150528379012951719841238 y1[1] (numeric) = 1.8851228608828658149084877488667 absolute error = 1.78541699720863866842352571e-05 relative error = 0.00094710011987545231379340348434734 % h = 0.001 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.6MB, time=192.03 NO POLE NO POLE x[1] = 0.485 y2[1] (analytic) = 1.4662083594486727384916203275428 y2[1] (numeric) = 1.4664319880923937822317480365148 absolute error = 0.000223628643721043740127708972 relative error = 0.01525217355909313809474953046094 % h = 0.001 y1[1] (analytic) = 1.8846749491085283107222274715935 y1[1] (numeric) = 1.8846568724594733103525039680294 absolute error = 1.80766490550003697235035641e-05 relative error = 0.00095913881932536009770078571467581 % h = 0.001 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.6MB, time=192.23 NO POLE NO POLE x[1] = 0.486 y2[1] (analytic) = 1.4670928011461751503345058408895 y2[1] (numeric) = 1.4673187447663537770019501567456 absolute error = 0.0002259436201786266674443158561 relative error = 0.0154007721939680191735265921048 % h = 0.001 y1[1] (analytic) = 1.884208298489343334530940517158 y1[1] (numeric) = 1.8841899970557457922119093379657 absolute error = 1.83014335975423190311791923e-05 relative error = 0.00097130628350461157320352568466974 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1644.1MB, alloc=4.6MB, time=192.43 x[1] = 0.487 y2[1] (analytic) = 1.4679767757509153404010390543462 y2[1] (numeric) = 1.4682050534794638748740757688056 absolute error = 0.0002282777285485344730367144594 relative error = 0.015550500002410690932732817467793 % h = 0.001 y1[1] (analytic) = 1.8837407636619335530187370096079 y1[1] (numeric) = 1.8837222351192608965041727986303 absolute error = 1.85285426726565145642109776e-05 relative error = 0.00098360363751101308300418139994943 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.488 y2[1] (analytic) = 1.4688602823789187776155778409106 y2[1] (numeric) = 1.4690909134660907168876968643036 absolute error = 0.000230631087171939272119023393 relative error = 0.015701363154732225156873655292237 % h = 0.001 y1[1] (analytic) = 1.8832723450938337546341641423728 y1[1] (numeric) = 1.883253587098362369308465690062 absolute error = 1.87579954713853256984523108e-05 relative error = 0.00099603201418277670626477133951508 % h = 0.001 TOP MAIN SOLVE Loop memory used=1647.9MB, alloc=4.6MB, time=192.63 NO POLE NO POLE x[1] = 0.489 y2[1] (analytic) = 1.4697433201466789076002348654785 y2[1] (numeric) = 1.4699763239615559194907268032257 absolute error = 0.0002330038148770118904919377472 relative error = 0.015853367842063629431794382175814 % h = 0.001 y1[1] (analytic) = 1.882803043253462468442140926205 y1[1] (numeric) = 1.8827840534421591127321924513482 absolute error = 1.89898113033557099484748568e-05 relative error = 0.0010085925541389358357984485911596 % h = 0.001 TOP MAIN SOLVE Loop memory used=1651.8MB, alloc=4.6MB, time=192.83 NO POLE NO POLE x[1] = 0.49 y2[1] (analytic) = 1.470625888171158036181358337188 y2[1] (numeric) = 1.4708612842021379580272563476972 absolute error = 0.0002353960309799218458980105092 relative error = 0.016006520276387613824731918401766 % h = 0.001 y1[1] (analytic) = 1.8823328586101214957054681591367 y1[1] (numeric) = 1.8823136346005242289937993072433 absolute error = 1.92240095972667116688518934e-05 relative error = 0.0010212864058199224068491910370106 % h = 0.001 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.6MB, time=193.03 NO POLE NO POLE x[1] = 0.491 y2[1] (analytic) = 1.4715079855697882124271525965983 y2[1] (numeric) = 1.4717457934250740497562988922685 absolute error = 0.0002378078552858373291462956702 relative error = 0.016160826690570411252824045020793 % h = 0.001 y1[1] (analytic) = 1.8818617916339954405830662721614 y1[1] (numeric) = 1.8818423310240940626223295903522 absolute error = 1.94606099013779607366818092e-05 relative error = 0.0010341147255283063731875438617028 % h = 0.001 TOP MAIN SOLVE Loop memory used=1659.4MB, alloc=4.6MB, time=193.23 NO POLE NO POLE x[1] = 0.492 y2[1] (analytic) = 1.4723896114604721112155555001594 y2[1] (numeric) = 1.4726298508685620364005594804224 absolute error = 0.000240239408089925185003980263 relative error = 0.016316293338393651882168569102675 % h = 0.001 y1[1] (analytic) = 1.8813898427961512399454103523624 y1[1] (numeric) = 1.8813701431642672407741952324246 absolute error = 1.96996318839991712151199378e-05 relative error = 0.0010470786774696980287640424541135 % h = 0.001 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.6MB, time=193.43 NO POLE NO POLE x[1] = 0.493 y2[1] (analytic) = 1.4732707649615839153314900341658 y2[1] (numeric) = 1.4735134557717622662243426472522 absolute error = 0.0002426908101783508928526130864 relative error = 0.016472926494586291898770879840894 % h = 0.001 y1[1] (analytic) = 1.8809170125685376923076325280146 y1[1] (numeric) = 1.8808970714732037116676348434924 absolute error = 1.99410953339806399976845222e-05 relative error = 0.0010601794337938137756857636697938 % h = 0.001 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.6MB, time=193.63 NO POLE NO POLE x[1] = 0.494 y2[1] (analytic) = 1.4741514451919701970926080610182 y2[1] (numeric) = 1.4743966073747994756397145792796 absolute error = 0.0002451621828292785471065182614 relative error = 0.016630732454856596991972267627323 % h = 0.001 y1[1] (analytic) = 1.8804433014239849858807627825173 y1[1] (numeric) = 1.8804231164038237811353296823152 absolute error = 2.01850201612047454331002021e-05 relative error = 0.0010734181746357059418155497300464 % h = 0.001 TOP MAIN SOLVE Loop memory used=1670.8MB, alloc=4.6MB, time=193.83 NO POLE NO POLE x[1] = 0.495 y2[1] (analytic) = 1.4750316512709507995026445721214 y2[1] (numeric) = 1.4752793049187646703400355341594 absolute error = 0.000247653647813870837390962038 relative error = 0.016789717535924180890213301190709 % h = 0.001 y1[1] (analytic) = 1.8799687098362042257415801458792 y1[1] (numeric) = 1.8799482784098071472956497058833 absolute error = 2.04314263970784459304399959e-05 relative error = 0.0010867960881571572538378700369926 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.496 y2[1] (analytic) = 1.475911382318319716931501294139 y2[1] (numeric) = 1.4761615476457170059599789155583 absolute error = 0.0002501653273972890284776214193 relative error = 0.016949888075552099288256433043397 % h = 0.001 y1[1] (analytic) = 1.8794932382797869601215470938628 y1[1] (numeric) = 1.8794725579455919333430027695592 absolute error = 2.06803341950267785443243036e-05 relative error = 0.0011003143705882405741900802219956 % h = 0.001 TOP MAIN SOLVE Loop memory used=1674.6MB, alloc=4.6MB, time=194.02 NO POLE NO POLE x[1] = 0.497 y2[1] (analytic) = 1.4767906374543459753211789685932 y2[1] (numeric) = 1.4770433347986856682611538517959 absolute error = 0.0002526973443396929399748832027 relative error = 0.017111250432578999504269791230016 % h = 0.001 y1[1] (analytic) = 1.8790168872302047058153008658165 y1[1] (numeric) = 1.8789959554663737184577609328145 absolute error = 2.09317638309873575399330020e-05 relative error = 0.0011139742262690445128230544774871 % h = 0.001 TOP MAIN SOLVE Loop memory used=1678.5MB, alloc=4.6MB, time=194.22 NO POLE NO POLE x[1] = 0.498 y2[1] (analytic) = 1.4776694157997745119166780989527 y2[1] (numeric) = 1.4779246656216717528424485808923 absolute error = 0.0002552498218972409257704819396 relative error = 0.017273810986951326204459774547638 % h = 0.001 y1[1] (analytic) = 1.8785396571638084727091762926628 y1[1] (numeric) = 1.8785184714281045668362387084464 absolute error = 2.11857357039058729375842164e-05 relative error = 0.0011277768676915655273308544828339 % h = 0.001 TOP MAIN SOLVE Loop memory used=1682.3MB, alloc=4.6MB, time=194.42 NO POLE NO POLE x[1] = 0.499 y2[1] (analytic) = 1.4785477164758270545209884343788 y2[1] (numeric) = 1.4788055393596501443742123994875 absolute error = 0.0002578228838230898532239651087 relative error = 0.01743757613975558353223356085817 % h = 0.001 y1[1] (analytic) = 1.8780615485578282874302356064793 y1[1] (numeric) = 1.8780401062874920548411989756255 absolute error = 2.14422703362325890366308538e-05 relative error = 0.0011417235155417671275753064069075 % h = 0.001 TOP MAIN SOLVE Loop memory used=1686.1MB, alloc=4.6MB, time=194.62 NO POLE NO POLE x[1] = 0.5 y2[1] (analytic) = 1.4794255386042030002732879352156 y2[1] (numeric) = 1.4796859552585713953553943886671 absolute error = 0.0002604166543683950821064534515 relative error = 0.017602552313250653978173922186419 % h = 0.001 y1[1] (analytic) = 1.8775825618903727161162815826038 y1[1] (numeric) = 1.8775608605019982962733631591435 absolute error = 2.17013883744198429184234603e-05 relative error = 0.0011558153987418068035281354958387 % h = 0.001 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.6MB, time=194.82 NO POLE NO POLE x[1] = 0.501 y2[1] (analytic) = 1.4803028813070802939494724420977 y2[1] (numeric) = 1.4805659125653636043927575860625 absolute error = 0.0002630312582833104432851439648 relative error = 0.017768745950900174326417779040368 % h = 0.001 y1[1] (analytic) = 1.8771026976404283863073312442114 y1[1] (numeric) = 1.8770807345298389657644031587862 absolute error = 2.19631105894205429280854252e-05 relative error = 0.0011700537544924312976607056777677 % h = 0.001 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.6MB, time=195.02 NO POLE NO POLE x[1] = 0.502 y2[1] (analytic) = 1.4811797437071163057841377482187 y2[1] (numeric) = 1.4814454105279342940012877306751 absolute error = 0.0002656668208179882171499824564 relative error = 0.017936163517404969012346679042538 % h = 0.001 y1[1] (analytic) = 1.8766219562878595079590282378478 y1[1] (numeric) = 1.8765997288299823202918933938615 absolute error = 2.22274578771876671348439863e-05 relative error = 0.001184439828315540845829478913064 % h = 0.001 TOP MAIN SOLVE Loop memory used=1697.5MB, alloc=4.6MB, time=195.22 NO POLE NO POLE x[1] = 0.503 y2[1] (analytic) = 1.4820561249274487088131362528522 y2[1] (numeric) = 1.482324448395172287924916164716 absolute error = 0.0002683234677235791117799118638 relative error = 0.018104811498735541225821814056857 % h = 0.001 y1[1] (analytic) = 1.8761403383134073935784728664688 y1[1] (numeric) = 1.8761178438621482188167022085548 absolute error = 2.24944512591747617706579140e-05 relative error = 0.0011989748740969230132340969350544 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1701.3MB, alloc=4.6MB, time=195.42 x[1] = 0.504 y2[1] (analytic) = 1.4829320240916963557358308536409 y2[1] (numeric) = 1.4832030254169495879766769353422 absolute error = 0.0002710013252532322408460817013 relative error = 0.018274696402164622093528256505194 % h = 0.001 y1[1] (analytic) = 1.8756578441986899774829496441145 y1[1] (numeric) = 1.875635080086807140043302763972 absolute error = 2.27641118828374396468801425e-05 relative error = 0.0012136601541291567546645457900869 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.505 y2[1] (analytic) = 1.4838074403239601552961692154743 y2[1] (numeric) = 1.4840811408441232503974185985147 absolute error = 0.0002737005201630951012493830404 relative error = 0.018445824756299778273332761559179 % h = 0.001 y1[1] (analytic) = 1.8751744744262013341820331134515 y1[1] (numeric) = 1.8751514379651791983034844224577 absolute error = 2.30364610221358785486909938e-05 relative error = 0.0012284969391546873309042429320717 % h = 0.001 TOP MAIN SOLVE Loop memory used=1705.2MB, alloc=4.6MB, time=195.61 NO POLE NO POLE x[1] = 0.506 y2[1] (analytic) = 1.4846823727488239481817020349524 y2[1] (numeric) = 1.4849587939285372617321916873011 absolute error = 0.0002764211797133135504896523487 relative error = 0.018618203111116078292906710044767 % h = 0.001 y1[1] (analytic) = 1.8746902294793111958835535440366 y1[1] (numeric) = 1.8746669179592331575639465090431 absolute error = 2.33115200780383196070349935e-05 relative error = 0.0012434865084090727158171379396853 % h = 0.001 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.6MB, time=195.81 NO POLE NO POLE x[1] = 0.507 y2[1] (analytic) = 1.4855568204913553824396694014904 y2[1] (numeric) = 1.4858359839230244142234332677867 absolute error = 0.0002791634316690317837638662963 relative error = 0.0187918380379888179642205185288 % h = 0.001 y1[1] (analytic) = 1.8742051098422644691239050052961 y1[1] (numeric) = 1.8741815205316854435582572136862 absolute error = 2.35893105790255656477916099e-05 relative error = 0.001258630149664402131319092581399 % h = 0.001 TOP MAIN SOLVE Loop memory used=1712.8MB, alloc=4.6MB, time=196.01 NO POLE NO POLE x[1] = 0.508 y2[1] (analytic) = 1.4864307826771067884092798390526 y2[1] (numeric) = 1.4867127100814081807200704673564 absolute error = 0.0002819274043013923107906283038 relative error = 0.01896673612972630520487808212861 % h = 0.001 y1[1] (analytic) = 1.8737191160001807505231791838722 y1[1] (numeric) = 1.8736952461459991540436612763133 absolute error = 2.38698541815964795179075589e-05 relative error = 0.0012739291592728873501169553621355 % h = 0.001 TOP MAIN SOLVE Loop memory used=1716.6MB, alloc=4.6MB, time=196.21 NO POLE NO POLE x[1] = 0.509 y2[1] (analytic) = 1.4873042584321160531693070963062 y2[1] (numeric) = 1.4875889716585045891016653224492 absolute error = 0.000284713226388535932358226143 relative error = 0.019142904000602704596629504490647 % h = 0.001 y1[1] (analytic) = 1.873232248439053841665609190164 y1[1] (numeric) = 1.8732080952663830671832209745536 absolute error = 2.41531726707744823882156104e-05 relative error = 0.0012893848422106274087929217330643 % h = 0.001 TOP MAIN SOLVE Loop memory used=1720.4MB, alloc=4.6MB, time=196.41 NO POLE NO POLE x[1] = 0.51 y2[1] (analytic) = 1.4881772468829074945001302376746 y2[1] (numeric) = 1.4884647679101240962167237559789 absolute error = 0.0002875210272166017165935183043 relative error = 0.019320348286390942010777471015396 % h = 0.001 y1[1] (analytic) = 1.8727445076457512631058084735755 y1[1] (numeric) = 1.8727200683577906480537758114814 absolute error = 2.44392879606150520326620941e-05 relative error = 0.0013049985121215473765170250644948 % h = 0.001 TOP MAIN SOLVE Loop memory used=1724.2MB, alloc=4.6MB, time=196.61 NO POLE NO POLE x[1] = 0.511 y2[1] (analytic) = 1.4890497471564927343593430733201 y2[1] (numeric) = 1.4893400980930734613342919584488 absolute error = 0.0002903509365807269749488851287 relative error = 0.019499075644395669629577100343141 % h = 0.001 y1[1] (analytic) = 1.8722558941080137675012908401947 y1[1] (numeric) = 1.8722311658859190532802071776383 absolute error = 2.47282220947142210836625564e-05 relative error = 0.0013207714913615118273869886602686 % h = 0.001 TOP MAIN SOLVE Loop memory used=1728.0MB, alloc=4.6MB, time=196.81 NO POLE NO POLE x[1] = 0.512 y2[1] (analytic) = 1.4899217583803715718700594525215 y2[1] (numeric) = 1.4902149614651576191079639113702 absolute error = 0.0002932030847860472379044588487 relative error = 0.019679092753486291692120927939953 % h = 0.001 y1[1] (analytic) = 1.8717664083144548518717584403411 y1[1] (numeric) = 1.8717413883172081337964951381001 absolute error = 2.50199972467180752633022410e-05 relative error = 0.0013367051110426136671222366556415 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1731.9MB, alloc=4.6MB, time=197.00 x[1] = 0.513 y2[1] (analytic) = 1.4907932796825328558210414322121 y2[1] (numeric) = 1.4910893572851815520514242569199 absolute error = 0.0002960776026486962303828247078 relative error = 0.019860406314130051292599799536323 % h = 0.001 y1[1] (analytic) = 1.8712760507545602689856454666536 y1[1] (numeric) = 1.8712507361188394357340553713843 absolute error = 2.53146357208332515900952693e-05 relative error = 0.001352800711077638967577665098454 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.514 y2[1] (analytic) = 1.4916643101914553566777778206244 y2[1] (numeric) = 1.4919632848129521625246511838397 absolute error = 0.0002989746214968058468733632153 relative error = 0.020043023048425178558236844353595 % h = 0.001 y1[1] (analytic) = 1.8707848219186875378744061761341 y1[1] (numeric) = 1.8707592097587351994378451625543 absolute error = 2.56121599523384365610135798e-05 relative error = 0.001369059640224708465292866639401 % h = 0.001 TOP MAIN SOLVE Loop memory used=1735.7MB, alloc=4.6MB, time=197.20 NO POLE NO POLE x[1] = 0.515 y2[1] (analytic) = 1.4925348490361086381036410850348 y2[1] (numeric) = 1.4928367433092801442299044663913 absolute error = 0.0003018942731715061262633813565 relative error = 0.020226949700134100533605324111605 % h = 0.001 y1[1] (analytic) = 1.8702927222980654534750367218189 y1[1] (numeric) = 1.8702668097055573566107282279761 absolute error = 2.59125925080968643084938428e-05 relative error = 0.0013854832561320963830539359387067 % h = 0.001 TOP MAIN SOLVE Loop memory used=1739.5MB, alloc=4.6MB, time=197.40 NO POLE NO POLE x[1] = 0.516 y2[1] (analytic) = 1.4934048953459539279902511025232 y2[1] (numeric) = 1.4937097320359818532166242607332 absolute error = 0.00030483669002792522637315821 relative error = 0.020412193034716713097461978061788 % h = 0.001 y1[1] (analytic) = 1.8697997523847935954013211515137 y1[1] (numeric) = 1.86977353642870652558658902381 absolute error = 2.62159560870698147321277037e-05 relative error = 0.0014020729253832272362178118890631 % h = 0.001 TOP MAIN SOLVE Loop memory used=1743.3MB, alloc=4.6MB, time=197.60 NO POLE NO POLE x[1] = 0.517 y2[1] (analytic) = 1.4942744482509449889961747234587 y2[1] (numeric) = 1.4945822502558811783943667313762 absolute error = 0.0003078020049361893981920079175 relative error = 0.020598759839363715237655471450236 % h = 0.001 y1[1] (analytic) = 1.8693059126718418358442928023069 y1[1] (numeric) = 1.8692793903983210047326880644835 absolute error = 2.65222735208311116047378234e-05 relative error = 0.0014188300235418512883333906636549 % h = 0.001 TOP MAIN SOLVE Loop memory used=1747.1MB, alloc=4.6MB, time=197.80 NO POLE NO POLE x[1] = 0.518 y2[1] (analytic) = 1.4951435068815289885930906090811 y2[1] (numeric) = 1.4954542972328114115529030494074 absolute error = 0.0003107903512824229598124403263 relative error = 0.020786656923030006009104671537744 % h = 0.001 y1[1] (analytic) = 1.8688112036530498466024031903571 y1[1] (numeric) = 1.8687843720852757639817506510829 absolute error = 2.68315677740826206525392742e-05 relative error = 0.0014357559351973993233894241891073 % h = 0.001 TOP MAIN SOLVE Loop memory used=1750.9MB, alloc=4.6MB, time=198.00 NO POLE NO POLE x[1] = 0.519 y2[1] (analytic) = 1.4960120703686473686185492970897 y2[1] (numeric) = 1.49632587223161711688860877394 absolute error = 0.0003138018629697482700594768503 relative error = 0.02097589111646814449928368519017 % h = 0.001 y1[1] (analytic) = 1.8683156258231266052418913657465 y1[1] (numeric) = 1.8682884819611814344942822828259 absolute error = 2.71438619451707476090829206e-05 relative error = 0.0014528520540105174048265564693864 % h = 0.001 TOP MAIN SOLVE Loop memory used=1754.8MB, alloc=4.6MB, time=198.20 NO POLE NO POLE x[1] = 0.52 y2[1] (analytic) = 1.4968801378437367143344589425478 y2[1] (numeric) = 1.4971969745181560000362710987547 absolute error = 0.0003168366744192857018121562069 relative error = 0.021166469272261873125099863344417 % h = 0.001 y1[1] (analytic) = 1.8678191796776499003878475719885 y1[1] (numeric) = 1.8677917204983832964516048975298 absolute error = 2.74591792666039362426744587e-05 relative error = 0.0014701197827587822942697993015367 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1758.6MB, alloc=4.6MB, time=198.40 x[1] = 0.521 y2[1] (analytic) = 1.4977477084387296229904276756926 y2[1] (numeric) = 1.4980676033593007766054419173389 absolute error = 0.0003198949205711536150142416463 relative error = 0.021358398264859704584507273907727 % h = 0.001 y1[1] (analytic) = 1.8673218657130658361464659190853 y1[1] (numeric) = 1.8672940881699602649801089592731 absolute error = 2.77775431055711663569598122e-05 relative error = 0.0014875605333825982057683644173656 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.522 y2[1] (analytic) = 1.4986147812860555718910940133795 y2[1] (numeric) = 1.4989377580229410402204651315106 absolute error = 0.0003229767368854683293711181311 relative error = 0.021551684990608572785661434571778 % h = 0.001 y1[1] (analytic) = 1.8668236844266883356589816478407 y1[1] (numeric) = 1.8667955854497238742072172832583 absolute error = 2.80989769644614517643645824e-05 relative error = 0.0015051757270312755741721056884992 % h = 0.001 TOP MAIN SOLVE Loop memory used=1762.4MB, alloc=4.6MB, time=198.59 NO POLE NO POLE x[1] = 0.523 y2[1] (analytic) = 1.4994813555186417859665772569024 y2[1] (numeric) = 1.4998074377779851300633071015229 absolute error = 0.0003260822593433440967298446205 relative error = 0.021746336367787548075891345418625 % h = 0.001 y1[1] (analytic) = 1.866324636316698643787789431451 y1[1] (numeric) = 1.8662962128122172594495573592238 absolute error = 2.84235044813843382320722272e-05 relative error = 0.00152296679410929251912793816898 % h = 0.001 TOP MAIN SOLVE Loop memory used=1766.2MB, alloc=4.6MB, time=198.80 NO POLE NO POLE x[1] = 0.524 y2[1] (analytic) = 1.5003474302699141048451803058119 y2[1] (numeric) = 1.5006766418943619979183196089927 absolute error = 0.0003292116244478930731393031808 relative error = 0.02194235933664161709224203600566 % h = 0.001 y1[1] (analytic) = 1.865824721882144828935240028212 y1[1] (numeric) = 1.8657959707327141375338398056162 absolute error = 2.87511494306914014002225958e-05 relative error = 0.0015409351743227396890455457228405 % h = 0.001 TOP MAIN SOLVE Loop memory used=1770.0MB, alloc=4.6MB, time=198.99 NO POLE NO POLE x[1] = 0.525 y2[1] (analytic) = 1.5012130046737978494274778151016 y2[1] (numeric) = 1.5015453696430230747180651781732 absolute error = 0.0003323649692252252905873630716 relative error = 0.022139760859415527554824909242062 % h = 0.001 y1[1] (analytic) = 1.8653239416229412839956134665064 y1[1] (numeric) = 1.8652948596872177852509414571276 absolute error = 2.90819357234987446720093788e-05 relative error = 0.0015590823167259491722595219686378 % h = 0.001 TOP MAIN SOLVE Loop memory used=1773.8MB, alloc=4.6MB, time=199.19 NO POLE NO POLE x[1] = 0.526 y2[1] (analytic) = 1.5020780778647186879609231217462 y2[1] (numeric) = 1.5024136202959441365893350759978 absolute error = 0.0003355424312254486284119542516 relative error = 0.022338547920387698323704092601332 % h = 0.001 y1[1] (analytic) = 1.864822296039868226440767810055 y1[1] (numeric) = 1.8647928801524600159436924581186 absolute error = 2.94158874082104970753519364e-05 relative error = 0.0015774096797683081655048657206257 % h = 0.001 TOP MAIN SOLVE Loop memory used=1777.6MB, alloc=4.6MB, time=199.39 NO POLE NO POLE x[1] = 0.527 y2[1] (analytic) = 1.5029426489776035016141078660558 y2[1] (numeric) = 1.5032813931261271703984907869622 absolute error = 0.0003387441485236687843829209064 relative error = 0.022538727525904195039544763463395 % h = 0.001 y1[1] (analytic) = 1.8643197856345711975399634177419 y1[1] (numeric) = 1.8642900326059001542288676038904 absolute error = 2.97530286710433110958138515e-05 relative error = 0.001595918731341258092724528938044 % h = 0.001 TOP MAIN SOLVE Loop memory used=1781.5MB, alloc=4.6MB, time=199.58 NO POLE NO POLE x[1] = 0.528 y2[1] (analytic) = 1.5038067171478812495498087336605 y2[1] (numeric) = 1.5041486874076022387952602352795 absolute error = 0.000341970259720989245451501619 relative error = 0.022740306704412771667753967202167 % h = 0.001 y1[1] (analytic) = 1.8638164109095605607143634781479 y1[1] (numeric) = 1.8637863175257240088538830407336 absolute error = 3.00933838365518604804374143e-05 relative error = 0.0016146109488254798701415487181952 % h = 0.001 TOP MAIN SOLVE Loop memory used=1785.3MB, alloc=4.6MB, time=199.78 NO POLE NO POLE x[1] = 0.529 y2[1] (analytic) = 1.504670281511483833495956245149 y2[1] (numeric) = 1.5050155024154293447541205038361 absolute error = 0.0003452209039455112581642586871 relative error = 0.022943292506496978265355762456932 % h = 0.001 y1[1] (analytic) = 1.8633121723682109990267124642498 y1[1] (numeric) = 1.8632817353908428436887003041728 absolute error = 3.04369773681553380121600770e-05 relative error = 0.0016334878191382660164542417672686 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1789.1MB, alloc=4.6MB, time=199.97 x[1] = 0.53 y2[1] (analytic) = 1.5055333412048469618136610224661 y2[1] (numeric) = 1.505881837425700295612399277302 absolute error = 0.0003484962208533337987382548359 relative error = 0.023147692004910335289360575897095 % h = 0.001 y1[1] (analytic) = 1.8628070705147610118066950185642 y1[1] (numeric) = 1.8627762866808923468534405428354 absolute error = 3.07838338686649532544757288e-05 relative error = 0.0016525508387810803099510575952498 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.531 y2[1] (analytic) = 1.5063958953649110130614334641129 y2[1] (numeric) = 1.5067476917155405666042277152952 absolute error = 0.0003517963506295535427942511823 relative error = 0.023353512294610574764913397346029 % h = 0.001 y1[1] (analytic) = 1.8623011058543124104124786433371 y1[1] (numeric) = 1.8622699718762315979822126429077 absolute error = 3.11339780808124302660004294e-05 relative error = 0.0016718015138873056972920326549248 % h = 0.001 TOP MAIN SOLVE Loop memory used=1792.9MB, alloc=4.6MB, time=200.17 NO POLE NO POLE x[1] = 0.532 y2[1] (analytic) = 1.5072579431291218990547332650042 y2[1] (numeric) = 1.5076130645631111638894779407737 absolute error = 0.0003551214339892648347446757695 relative error = 0.023560760492793948631036863701105 % h = 0.001 y1[1] (analytic) = 1.861794278892829813128944434192 y1[1] (numeric) = 1.8617627914579420336236598351958 absolute error = 3.14874348877795052845989962e-05 relative error = 0.0016912413602701811616664190777318 % h = 0.001 TOP MAIN SOLVE Loop memory used=1796.7MB, alloc=4.6MB, time=200.37 NO POLE NO POLE x[1] = 0.533 y2[1] (analytic) = 1.5081194836354319274199857215036 y2[1] (numeric) = 1.508477955247610487076818808827 absolute error = 0.0003584716121785596568330873234 relative error = 0.023769443738929604581323336570878 % h = 0.001 y1[1] (analytic) = 1.8612865901371401392031109589661 y1[1] (numeric) = 1.8612547459078264107787302333831 absolute error = 3.18442293137284243807255830e-05 relative error = 0.0017108719034709282610110374151698 % h = 0.001 TOP MAIN SOLVE Loop memory used=1800.5MB, alloc=4.6MB, time=200.57 NO POLE NO POLE x[1] = 0.534 y2[1] (analytic) = 1.508980516022300663642202267693 y2[1] (numeric) = 1.5093423630492761912400241017577 absolute error = 0.0003618470269755275978218340647 relative error = 0.023979569194794029716474741906928 % h = 0.001 y1[1] (analytic) = 1.8607780400949321020172572462665 y1[1] (numeric) = 1.8607458357084077685761776181718 absolute error = 3.22043865243334410796280947e-05 relative error = 0.0017306946788070680499612799725839 % h = 0.001 TOP MAIN SOLVE Loop memory used=1804.3MB, alloc=4.6MB, time=200.77 NO POLE NO POLE x[1] = 0.535 y2[1] (analytic) = 1.5098410394286957926053431953273 y2[1] (numeric) = 1.5102062872493870484266677777868 absolute error = 0.0003652478206912558213245824595 relative error = 0.024191144044505562325140180685004 % h = 0.001 y1[1] (analytic) = 1.8602686292747557014002517105828 y1[1] (numeric) = 1.8602360613429283880862996476077 absolute error = 3.25679318273133139520629751e-05 relative error = 0.0017507112314209291022065296266087 % h = 0.001 TOP MAIN SOLVE Loop memory used=1808.2MB, alloc=4.6MB, time=200.97 NO POLE NO POLE x[1] = 0.536 y2[1] (analytic) = 1.5107010529940939796245610171836 y2[1] (numeric) = 1.5110697271302648086583413828788 absolute error = 0.0003686741361708290337803656952 relative error = 0.024404175494558972109059106828203 % h = 0.001 y1[1] (analytic) = 1.8597583581860217150775947025839 y1[1] (numeric) = 1.859725423295348750273421539021 absolute error = 3.29348906729648041731635629e-05 relative error = 0.0017709231163283473529341161642361 % h = 0.001 TOP MAIN SOLVE Loop memory used=1812.0MB, alloc=4.6MB, time=201.17 NO POLE NO POLE x[1] = 0.537 y2[1] (analytic) = 1.511560555858481730969463441633 y2[1] (numeric) = 1.5119326819752760604215292180651 absolute error = 0.0003721261167943294520657764321 relative error = 0.024618670773860109168082172279588 % h = 0.001 y1[1] (analytic) = 1.8592472273390011892606832345142 y1[1] (numeric) = 1.8592139220503464920876341326636 absolute error = 3.33052886546971730491018506e-05 relative error = 0.0017913318984675584840708681409758 % h = 0.001 TOP MAIN SOLVE Loop memory used=1815.8MB, alloc=4.6MB, time=201.37 NO POLE NO POLE x[1] = 0.538 y2[1] (analytic) = 1.5124195471623562538775354352446 y2[1] (numeric) = 1.5127951510688340906482773382459 absolute error = 0.0003756039064778367707419030013 relative error = 0.024834637133760622060212629364435 % h = 0.001 y1[1] (analytic) = 1.8587352372448249283758072913827 y1[1] (numeric) = 1.85870155809331536069629611129 absolute error = 3.36791515095676795111800927e-05 relative error = 0.0018119391527482835780688919041196 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.539 y2[1] (analytic) = 1.5132780260467263160568603600697 y2[1] (numeric) = 1.5136571336964007441857929427697 absolute error = 0.0003791076496744281289325827 relative error = 0.025052081848092745251388427940933 % h = 0.001 y1[1] (analytic) = 1.8582223884154829839333879989048 y1[1] (numeric) = 1.8581883319103641658558110136098 absolute error = 3.40565051188180775769852950e-05 relative error = 0.0018327464641010087690324805239114 % h = 0.001 TOP MAIN SOLVE Loop memory used=1819.6MB, alloc=4.6MB, time=201.56 NO POLE NO POLE x[1] = 0.54 y2[1] (analytic) = 1.5141359916531131046772806829582 y2[1] (numeric) = 1.5145186291444882827541112031241 absolute error = 0.0003826374913751780768305201659 relative error = 0.025271012213204156269308819231711 % h = 0.001 y1[1] (analytic) = 1.8577086813638241425379687789178 y1[1] (numeric) = 1.8576742439883157304241905427393 absolute error = 3.44373755084121137782361785e-05 relative error = 0.0018537554275264596230460840224652 % h = 0.001 TOP MAIN SOLVE Loop memory used=1823.4MB, alloc=4.6MB, time=201.76 NO POLE NO POLE x[1] = 0.541 y2[1] (analytic) = 1.514993443123551084849139265818 y2[1] (numeric) = 1.5153796367006612433909670588247 absolute error = 0.0003861935771101585418277930067 relative error = 0.025491435547992902875199351360884 % h = 0.001 y1[1] (analytic) = 1.8571941166035554130394714822349 y1[1] (numeric) = 1.8571592948147058390149165334884 absolute error = 3.48217888495740245549487465e-05 relative error = 0.0018749676481452709826391185841241 % h = 0.001 TOP MAIN SOLVE Loop memory used=1827.2MB, alloc=4.6MB, time=201.96 NO POLE NO POLE x[1] = 0.542 y2[1] (analytic) = 1.5158503796005888575887427581458 y2[1] (numeric) = 1.5162401556535382963830099990531 absolute error = 0.0003897760529494387942672409073 relative error = 0.02571335919394240056700558375926 % h = 0.001 y1[1] (analytic) = 1.8566786946492415128262303476392 y1[1] (numeric) = 1.8566434848777821847926148045475 absolute error = 3.52097714593280336155430917e-05 relative error = 0.0018963847412478530134121168995327 % h = 0.001 TOP MAIN SOLVE Loop memory used=1831.0MB, alloc=4.6MB, time=202.16 NO POLE NO POLE x[1] = 0.543 y2[1] (analytic) = 1.51670680022729001726968912644 y2[1] (numeric) = 1.5171001852927941026825003347747 absolute error = 0.0003933850655040854128112083347 relative error = 0.025936790515156500727108629885081 % h = 0.001 y1[1] (analytic) = 1.8561624160163043532603174939409 y1[1] (numeric) = 1.8561268146665033144110549833765 absolute error = 3.56013498010388492625105644e-05 relative error = 0.0019180083323444541939503854380358 % h = 0.001 TOP MAIN SOLVE Loop memory used=1834.9MB, alloc=4.6MB, time=202.36 NO POLE NO POLE x[1] = 0.544 y2[1] (analytic) = 1.5175627041472340085592018692383 y2[1] (numeric) = 1.5179597249091611708086259539583 absolute error = 0.00039702076192716224942408472 relative error = 0.026161736898394629727264732333245 % h = 0.001 y1[1] (analytic) = 1.8556452812210225242556745097304 y1[1] (numeric) = 1.85560928467053757109399125285 absolute error = 3.59965504849531616832568804e-05 relative error = 0.0019398400572154219932659982356506 % h = 0.001 TOP MAIN SOLVE Loop memory used=1838.7MB, alloc=4.6MB, time=202.57 NO POLE NO POLE x[1] = 0.545 y2[1] (analytic) = 1.5184180905045169828386139815162 y2[1] (numeric) = 1.5188187737944317132325790411239 absolute error = 0.0004006832899147303939650596077 relative error = 0.026388205753106999303086452339914 % h = 0.001 y1[1] (analytic) = 1.8551272907805307779995655626503 y1[1] (numeric) = 1.8550908953802620358593598294754 absolute error = 3.63954002687421402057331749e-05 relative error = 0.0019618815619616619831366819959592 % h = 0.001 TOP MAIN SOLVE Loop memory used=1842.5MB, alloc=4.6MB, time=202.77 NO POLE NO POLE x[1] = 0.546 y2[1] (analytic) = 1.5192729584437526541071452480364 y2[1] (numeric) = 1.519677331241459502245532731756 absolute error = 0.0004043727977068481383874837196 relative error = 0.02661620451146988851000468847839 % h = 0.001 y1[1] (analytic) = 1.8546084452128195118178683066931 y1[1] (numeric) = 1.8545716472867614668873498432754 absolute error = 3.67979260580449305184634177e-05 relative error = 0.0019841345030552961358509962538981 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1846.3MB, alloc=4.6MB, time=202.97 x[1] = 0.547 y2[1] (analytic) = 1.5201273071100731543681169619403 y2[1] (numeric) = 1.5205353965441617253086581621454 absolute error = 0.0004080894340885709405412002051 relative error = 0.026845740628420997572278600470021 % h = 0.001 y1[1] (analytic) = 1.8540887450367342501847197221881 y1[1] (numeric) = 1.8540515408818272370328651492103 absolute error = 3.72041549070131518545729778e-05 relative error = 0.0020066005473905210610232461316503 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.548 y2[1] (analytic) = 1.5209811356491298884967486824406 y2[1] (numeric) = 1.52139296899752083988432286595 absolute error = 0.0004118333483909513875741835094 relative error = 0.027076821581694873936254573680954 % h = 0.001 y1[1] (analytic) = 1.8535681907719751258770348787904 y1[1] (numeric) = 1.8535305766579562694828954593107 absolute error = 3.76141140188563941394194797e-05 relative error = 0.002029281372334666938308847097796 % h = 0.001 TOP MAIN SOLVE Loop memory used=1850.1MB, alloc=4.6MB, time=203.17 NO POLE NO POLE x[1] = 0.549 y2[1] (analytic) = 1.5218344432070943885886821638876 y2[1] (numeric) = 1.5222500478975864277476119602061 absolute error = 0.0004156046904920391589297963185 relative error = 0.027309454871858410838715592696141 % h = 0.001 y1[1] (analytic) = 1.8530467829390963602744174669085 y1[1] (numeric) = 1.8530087551083499715593160434925 absolute error = 3.80278307463887151014234160e-05 relative error = 0.0020521786657794579060314530400052 % h = 0.001 TOP MAIN SOLVE Loop memory used=1853.9MB, alloc=4.6MB, time=203.37 NO POLE NO POLE x[1] = 0.55 y2[1] (analytic) = 1.5226872289306591677883781077573 y2[1] (numeric) = 1.5231066325414770487773140556638 absolute error = 0.0004194036108178809889359479065 relative error = 0.027543648022346418700808769197795 % h = 0.001 y1[1] (analytic) = 1.8525245220595057428049817976178 y1[1] (numeric) = 1.8524860767269131666676361053388 absolute error = 3.84453325925761373456922790e-05 relative error = 0.0020752941261924746689271242282218 % h = 0.001 TOP MAIN SOLVE Loop memory used=1857.8MB, alloc=4.6MB, time=203.57 NO POLE NO POLE x[1] = 0.551 y2[1] (analytic) = 1.5235394919670385735965319092362 y2[1] (numeric) = 1.5239627222273820942255143191698 absolute error = 0.0004232302603435206289824099336 relative error = 0.027779408579497269657691264279444 % h = 0.001 y1[1] (analytic) = 1.8520014086554641095376068251937 y1[1] (numeric) = 1.8519625420082530243922167969521 absolute error = 3.88666472110851453900282416e-05 relative error = 0.0020986294626688200914182132814091 % h = 0.001 TOP MAIN SOLVE Loop memory used=1861.6MB, alloc=4.6MB, time=203.77 NO POLE NO POLE x[1] = 0.552 y2[1] (analytic) = 1.5243912314639696406556550910571 y2[1] (numeric) = 1.5248183162545636394649376093744 absolute error = 0.0004270847905939988092825183173 relative error = 0.028016744112588615533693431092999 % h = 0.001 y1[1] (analytic) = 1.8514774432500848209211435999679 y1[1] (numeric) = 1.8514381514476779887384806943043 absolute error = 3.92918024068321826629056636e-05 relative error = 0.002122186394982988546050549075321 % h = 0.001 TOP MAIN SOLVE Loop memory used=1865.4MB, alloc=4.6MB, time=203.97 NO POLE NO POLE x[1] = 0.553 y2[1] (analytic) = 1.525242446569712943012969639076 y2[1] (numeric) = 1.5256734139233582962131851012942 absolute error = 0.0004309673536453532002154622182 relative error = 0.028255662213873179572462653269379 % h = 0.001 y1[1] (analytic) = 1.8509526263673332386710984122557 y1[1] (numeric) = 1.8509129055411967045226354113455 absolute error = 3.97208261365341484630009102e-05 relative error = 0.0021459666536409397899619637826312 % h = 0.001 TOP MAIN SOLVE Loop memory used=1869.2MB, alloc=4.6MB, time=204.18 NO POLE NO POLE x[1] = 0.554 y2[1] (analytic) = 1.5260931364330534458597629767672 y2[1] (numeric) = 1.5265280145351790642330083102212 absolute error = 0.000434878102125618373245333454 relative error = 0.028496170498614622231222041969161 % h = 0.001 y1[1] (analytic) = 1.8504269585320262018043147406284 y1[1] (numeric) = 1.8503868047855169419094348874681 absolute error = 4.01537465092598948798531603e-05 relative error = 0.0021699719799323781454983019103556 % h = 0.001 TOP MAIN SOLVE Loop memory used=1873.0MB, alloc=4.6MB, time=204.37 NO POLE NO POLE x[1] = 0.555 y2[1] (analytic) = 1.5269433002033013567463518393519 y2[1] (numeric) = 1.5273821173925171825077649211263 absolute error = 0.0004388171892158257614130817744 relative error = 0.028738276605123481347954853025965 % h = 0.001 y1[1] (analytic) = 1.849900440269831501822177969805 y1[1] (numeric) = 1.8498598496780445190985027387657 absolute error = 4.05905917869827236752310393e-05 relative error = 0.0021942041259832377643548360308329 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1876.8MB, alloc=4.6MB, time=204.57 x[1] = 0.556 y2[1] (analytic) = 1.5277929370302929762718038326678 y2[1] (numeric) = 1.5282357217989439798912013260635 absolute error = 0.0004427847686510036193974933957 relative error = 0.028981988194793186990008169387073 % h = 0.001 y1[1] (analytic) = 1.8493730721072673570428676949146 y1[1] (numeric) = 1.8493320407168822231597429188712 absolute error = 4.10313903851338831247760434e-05 relative error = 0.0022186648548083747578965571691536 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.557 y2[1] (analytic) = 1.5286420460643915482475659871291 y2[1] (numeric) = 1.5290888270591127252307072691392 absolute error = 0.0004467809947211769831412820101 relative error = 0.029227312952136151292298037273404 % h = 0.001 y1[1] (analytic) = 1.8488448545717018860831832798337 y1[1] (numeric) = 1.8488033784008287290183637900074 absolute error = 4.14761708731570648194898263e-05 relative error = 0.0022433559403644669796001734310065 % h = 0.001 TOP MAIN SOLVE Loop memory used=1880.6MB, alloc=4.6MB, time=204.77 NO POLE NO POLE x[1] = 0.558 y2[1] (analytic) = 1.5294906264564881093341501432183 y2[1] (numeric) = 1.5299414324787604769631884963622 absolute error = 0.0004508060222723676290383531439 relative error = 0.029474258584819933592992821043454 % h = 0.001 y1[1] (analytic) = 1.8483157881913525804904691877283 y1[1] (numeric) = 1.8482738632293775165900425592359 absolute error = 4.19249619750639004266284924e-05 relative error = 0.0022682791676031222488639037371839 % h = 0.001 TOP MAIN SOLVE Loop memory used=1884.5MB, alloc=4.6MB, time=204.97 NO POLE NO POLE x[1] = 0.559 y2[1] (analytic) = 1.530338677358002338150025531897 y2[1] (numeric) = 1.5307935373647099321827038061443 absolute error = 0.0004548600067075940326782742473 relative error = 0.029722832823703481174252026596997 % h = 0.001 y1[1] (analytic) = 1.8477858734952857765251674518325 y1[1] (numeric) = 1.8477434957027157860667578887432 absolute error = 4.23777925699904584095630893e-05 relative error = 0.0022934363325241958087483605603885 % h = 0.001 TOP MAIN SOLVE Loop memory used=1888.3MB, alloc=4.6MB, time=205.17 NO POLE NO POLE x[1] = 0.56 y2[1] (analytic) = 1.531186197920883403851869441112 y2[1] (numeric) = 1.5316451410248712751790133953646 absolute error = 0.0004589431039878713271439542526 relative error = 0.029973043422873445915304210777254 % h = 0.001 y1[1] (analytic) = 1.8472551110134161260945255038663 y1[1] (numeric) = 1.8472122763217233713538193423568 absolute error = 4.28346916927547407061615095e-05 relative error = 0.0023188292422293178135430420248099 % h = 0.001 TOP MAIN SOLVE Loop memory used=1892.1MB, alloc=4.6MB, time=205.37 NO POLE NO POLE x[1] = 0.561 y2[1] (analytic) = 1.5320331872976108141853273882178 y2[1] (numeric) = 1.5324962427682440254461858957518 absolute error = 0.000463055470633211260858507534 relative error = 0.030224898159680577164859819329027 % h = 0.001 y1[1] (analytic) = 1.846723501276506066837988426341 y1[1] (numeric) = 1.8466802055879716516586231833407 absolute error = 4.32956885344151793652430003e-05 relative error = 0.0023444597149756316453982662186815 % h = 0.001 TOP MAIN SOLVE Loop memory used=1895.9MB, alloc=4.6MB, time=205.57 NO POLE NO POLE x[1] = 0.562 y2[1] (analytic) = 1.5328796446411952630054347476258 y2[1] (numeric) = 1.5333468419049188851604119958728 absolute error = 0.000467197263723622154977248247 relative error = 0.030478404834776191139572854056251 % h = 0.001 y1[1] (analytic) = 1.8461910448161652913648055433158 y1[1] (numeric) = 1.846147284003722461231664890874 absolute error = 4.37608124428301331406524418e-05 relative error = 0.0023703295802297438626218457937415 % h = 0.001 TOP MAIN SOLVE Loop memory used=1899.7MB, alloc=4.6MB, time=205.77 NO POLE NO POLE x[1] = 0.563 y2[1] (analytic) = 1.5337255691051794772658523133289 y2[1] (numeric) = 1.5341969377460795861261730452405 absolute error = 0.0004713686409001088603207319116 relative error = 0.03073357127214871715498913574144 % h = 0.001 y1[1] (analytic) = 1.8456577421648502156443821119545 y1[1] (numeric) = 1.84561351207192699726033961447 absolute error = 4.42300929232183840424974845e-05 relative error = 0.0023964406787218865856134858699211 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1903.5MB, alloc=4.6MB, time=205.97 x[1] = 0.564 y2[1] (analytic) = 1.5345709598436390634760688071373 y2[1] (numeric) = 1.5350465296040047361899135389708 absolute error = 0.0004755697603656727138447318335 relative error = 0.030990405319160320995148578793012 % h = 0.001 y1[1] (analytic) = 1.8451235938558634465499077244872 y1[1] (numeric) = 1.8450788902962247259160626369472 absolute error = 4.47035596387206338450875400e-05 relative error = 0.0024227948625002931297978602868498 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.565 y2[1] (analytic) = 1.5354158160111833536257238754924 y2[1] (numeric) = 1.5358956167920696651203668840246 absolute error = 0.0004798007808863114946430085322 relative error = 0.031248914846583605726744302216051 % h = 0.001 y1[1] (analytic) = 1.8445886004233532485557938769029 y1[1] (numeric) = 1.8445434191809422865552427674123 absolute error = 4.51812424109620005511094906e-05 relative error = 0.0024493939949857876983196480448497 % h = 0.001 TOP MAIN SOLVE Loop memory used=1907.3MB, alloc=4.6MB, time=206.16 NO POLE NO POLE x[1] = 0.566 y2[1] (analytic) = 1.5362601367629562505752056506075 y2[1] (numeric) = 1.536744198624748269954684351367 absolute error = 0.0004840618617920193794787007595 relative error = 0.031509107748638390263482544915765 % h = 0.001 y1[1] (analytic) = 1.8440527624023130095894540068917 y1[1] (numeric) = 1.8440070992310923940746424360635 absolute error = 4.56631712206155148115708282e-05 relative error = 0.0024762399510265899506805615016207 % h = 0.001 TOP MAIN SOLVE Loop memory used=1911.2MB, alloc=4.6MB, time=206.37 NO POLE NO POLE x[1] = 0.567 y2[1] (analytic) = 1.5371039212546370729116774854067 y2[1] (numeric) = 1.5375922744176148598095176223575 absolute error = 0.0004883531629777868978401369508 relative error = 0.031770991943028565986034207885844 % h = 0.001 y1[1] (analytic) = 1.8435160803285807060379601492125 y1[1] (numeric) = 1.8434699309523727394216591124667 absolute error = 4.61493762079666163010367458e-05 relative error = 0.0025033346169533352669296386898612 % h = 0.001 TOP MAIN SOLVE Loop memory used=1915.0MB, alloc=4.6MB, time=206.56 NO POLE NO POLE x[1] = 0.568 y2[1] (analytic) = 1.5379471686424413992696890063077 y2[1] (numeric) = 1.5384398434873460001562058423553 absolute error = 0.0004926748449046008865168360476 relative error = 0.032034575370979031722721387280516 % h = 0.001 y1[1] (analytic) = 1.842978554738838366910111201784 y1[1] (numeric) = 1.842931914851164888260063518295 absolute error = 4.66398876734786500476834890e-05 relative error = 0.0025306798906343115304638728577963 % h = 0.001 TOP MAIN SOLVE Loop memory used=1918.8MB, alloc=4.6MB, time=206.76 NO POLE NO POLE x[1] = 0.569 y2[1] (analytic) = 1.5387898780831219121155271633056 y2[1] (numeric) = 1.5392869051517223565592185998793 absolute error = 0.0004970270686004444436914365737 relative error = 0.032299865997272707395840467864077 % h = 0.001 y1[1] (analytic) = 1.8424401861706115371544486403868 y1[1] (numeric) = 1.8423930514345331777917309543582 absolute error = 4.71347360783593627176860286e-05 relative error = 0.0025582776815309132559566819645689 % h = 0.001 TOP MAIN SOLVE Loop memory used=1922.6MB, alloc=4.6MB, time=206.96 NO POLE NO POLE x[1] = 0.57 y2[1] (analytic) = 1.5396320487339692409944634930788 y2[1] (numeric) = 1.5401334587296305378770067557006 absolute error = 0.0005014099956612968825432626218 relative error = 0.032566871810287626638287191314547 % h = 0.001 y1[1] (analytic) = 1.841900975162268740133756363916 y1[1] (numeric) = 1.8418533412102236117349029100761 absolute error = 4.76339520451283988534538399e-05 relative error = 0.0025861299107533138924068488320214 % h = 0.001 TOP MAIN SOLVE Loop memory used=1926.4MB, alloc=4.6MB, time=207.16 NO POLE NO POLE x[1] = 0.571 y2[1] (analytic) = 1.540473679752812805240054347939 y2[1] (numeric) = 1.5409795035410649389244135529702 absolute error = 0.0005058237882521336843592050312 relative error = 0.032835600822034108684918576405428 % h = 0.001 y1[1] (analytic) = 1.841360922253020939256582195639 y1[1] (numeric) = 1.8413127846866627534595169713724 absolute error = 4.81375663581857970652242666e-05 relative error = 0.0026142385111163571347904585228239 % h = 0.001 TOP MAIN SOLVE Loop memory used=1930.2MB, alloc=4.6MB, time=207.36 NO POLE NO POLE x[1] = 0.572 y2[1] (analytic) = 1.5413147702980216561446513813949 y2[1] (numeric) = 1.5418250389071295825957989468873 absolute error = 0.0005102686091079264511475654924 relative error = 0.033106061068192009842861623959267 % h = 0.001 y1[1] (analytic) = 1.8408200279829209987663194088936 y1[1] (numeric) = 1.8407713823729566172801438902817 absolute error = 4.86456099643814861755186119e-05 relative error = 0.0026426054271956680813030935964177 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1934.0MB, alloc=4.6MB, time=207.56 x[1] = 0.573 y2[1] (analytic) = 1.5421553195285053185902801198912 y2[1] (numeric) = 1.5426700641500399614480306005017 absolute error = 0.0005147446215346428577504806105 relative error = 0.033378260608148054844759366458893 % h = 0.001 y1[1] (analytic) = 1.8402782928928631436883874880982 y1[1] (numeric) = 1.8402291347788895579070715263688 absolute error = 4.91581139735857813159617294e-05 relative error = 0.0026712326153839850766991902126524 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.574 y2[1] (analytic) = 1.5429953266037146321390449899122 y2[1] (numeric) = 1.5435145785931248787424955020093 absolute error = 0.0005192519894102466034505120971 relative error = 0.033652207525033248388730997695447 % h = 0.001 y1[1] (analytic) = 1.8397357175245824189360521778498 y1[1] (numeric) = 1.8396860424149231580560762163588 absolute error = 4.96751096592608799759614910e-05 relative error = 0.0027001220439477130857700798685961 % h = 0.001 TOP MAIN SOLVE Loop memory used=1937.9MB, alloc=4.6MB, time=207.76 NO POLE NO POLE x[1] = 0.575 y2[1] (analytic) = 1.5438347906836425915822197101162 y2[1] (numeric) = 1.5443585815608282889452866683444 absolute error = 0.0005237908771856973630669582282 relative error = 0.033927909925760367168614518579357 % h = 0.001 y1[1] (analytic) = 1.8391923024206541475754257142438 y1[1] (numeric) = 1.8391421057921951142174229741667 absolute error = 5.01966284590333580027400771e-05 relative error = 0.0027292756930836994445519133678316 % h = 0.001 TOP MAIN SOLVE Loop memory used=1941.7MB, alloc=4.6MB, time=207.96 NO POLE NO POLE x[1] = 0.576 y2[1] (analytic) = 1.5446737109288251869471824994803 y2[1] (numeric) = 1.5452020723787111376847199099961 absolute error = 0.0005283614498859507375374105158 relative error = 0.034205375941061532697857539735657 % h = 0.001 y1[1] (analytic) = 1.8386480481244933882501889733704 y1[1] (numeric) = 1.8385973254225181205846367687957 absolute error = 5.07227019752676655522045747e-05 relative error = 0.0027586955549762328404194573596166 % h = 0.001 TOP MAIN SOLVE Loop memory used=1945.5MB, alloc=4.6MB, time=208.15 NO POLE NO POLE x[1] = 0.577 y2[1] (analytic) = 1.5455120865003422429613560945909 y2[1] (numeric) = 1.5460450503734532011653361427752 absolute error = 0.0005329638731109582039800481843 relative error = 0.034484613725525865230224567015824 % h = 0.001 y1[1] (analytic) = 1.8381029551803543917665781122205 y1[1] (numeric) = 1.8380517018183787511435879723417 absolute error = 5.12533619756406229901398788e-05 relative error = 0.0027883836338542663758017411069632 % h = 0.001 TOP MAIN SOLVE Loop memory used=1949.3MB, alloc=4.6MB, time=208.36 NO POLE NO POLE x[1] = 0.578 y2[1] (analytic) = 1.546349916559818257972313112208 y2[1] (numeric) = 1.5468875148728549250375452437332 absolute error = 0.0005375983130366670652321315252 relative error = 0.034765631457637219080297241000199 % h = 0.001 y1[1] (analytic) = 1.837557024133330056839179116969 y1[1] (numeric) = 1.8375052354929363399224359146022 absolute error = 5.17886403937169167432023668e-05 relative error = 0.0028183419460488655738507839355629 % h = 0.001 TOP MAIN SOLVE Loop memory used=1953.1MB, alloc=4.6MB, time=208.56 NO POLE NO POLE x[1] = 0.579 y2[1] (analytic) = 1.5471872002694232423232078370701 y2[1] (numeric) = 1.5477294652058392627220679605844 absolute error = 0.0005422649364160203988601235143 relative error = 0.035048437339811999646557583458184 % h = 0.001 y1[1] (analytic) = 1.8370102555293513849980745127954 y1[1] (numeric) = 1.836957926960021859402975324533 absolute error = 5.23285693295255950991882624e-05 relative error = 0.002848572520050882188005225029757 % h = 0.001 TOP MAIN SOLVE Loop memory used=1956.9MB, alloc=4.6MB, time=208.76 NO POLE NO POLE x[1] = 0.58 y2[1] (analytic) = 1.5480239367918735561826960595765 y2[1] (numeric) = 1.5485709007024535131883328968057 absolute error = 0.0005469639105799570056368372292 relative error = 0.035333039598437062439663301909186 % h = 0.001 y1[1] (analytic) = 1.83646264991518693465788732805 y1[1] (numeric) = 1.8364097767341367970939312820306 absolute error = 5.28731810501375639560460194e-05 relative error = 0.002879077396568854681016679457068 % h = 0.001 TOP MAIN SOLVE Loop memory used=1960.7MB, alloc=4.6MB, time=208.96 NO POLE NO POLE x[1] = 0.581 y2[1] (analytic) = 1.548860125290432746828505133497 y2[1] (numeric) = 1.5494118206938711581859861080824 absolute error = 0.0005516954034384113574809745854 relative error = 0.035619446483907694418348595406774 % h = 0.001 y1[1] (analytic) = 1.8359142078384422743492682436758 y1[1] (numeric) = 1.8358607853304520302667491462399 absolute error = 5.34225079902440825190974359e-05 relative error = 0.0029098586285871362426481307026646 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1964.6MB, alloc=4.6MB, time=209.15 x[1] = 0.582 y2[1] (analytic) = 1.5496957649289123853838169702094 y2[1] (numeric) = 1.5502522245123936989286713599355 absolute error = 0.0005564595834813135448543897261 relative error = 0.035907666270665677935213669788583 % h = 0.001 y1[1] (analytic) = 1.8353649298475594351133726963536 y1[1] (numeric) = 1.8353109532648066988544267687942 absolute error = 5.39765827527362589459275594e-05 relative error = 0.0029409182814242512189107143750382 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.583 y2[1] (analytic) = 1.5505308548716729030056272331506 y2[1] (numeric) = 1.5510921114914524922292396112024 absolute error = 0.0005612566197795892236123780518 relative error = 0.03619770725723743759450128765607 % h = 0.001 y1[1] (analytic) = 1.834814816491816362059875540848 y1[1] (numeric) = 1.8347602810537070765139371420858 absolute error = 5.45354381092855459383987622e-05 relative error = 0.0029722584327914808293779240077268 % h = 0.001 TOP MAIN SOLVE Loop memory used=1968.4MB, alloc=4.6MB, time=209.35 NO POLE NO POLE x[1] = 0.584 y2[1] (analytic) = 1.5513653942836244265242445441924 y2[1] (numeric) = 1.5519314809656105860855468035462 absolute error = 0.0005660866819861595613022593538 relative error = 0.036489577766272270323799125872369 % h = 0.001 y1[1] (analytic) = 1.8342638683213263650890717134926 y1[1] (numeric) = 1.8342087692143254398527904738458 absolute error = 5.50991070009252362812396468e-05 relative error = 0.0030038811728516790528046519436873 % h = 0.001 TOP MAIN SOLVE Loop memory used=1972.2MB, alloc=4.6MB, time=209.55 NO POLE NO POLE x[1] = 0.585 y2[1] (analytic) = 1.5521993823302276135330940625129 y2[1] (numeric) = 1.5527703322705645547159995533432 absolute error = 0.0005709499403369411829054908303 relative error = 0.036783286144580658961452471246895 % h = 0.001 y1[1] (analytic) = 1.8337120858870375687786121746697 y1[1] (numeric) = 1.8336564182644989358202855199703 absolute error = 5.56676225386329583266546994e-05 relative error = 0.0030357886042783195649826417493106 % h = 0.001 TOP MAIN SOLVE Loop memory used=1976.0MB, alloc=4.6MB, time=209.75 NO POLE NO POLE x[1] = 0.586 y2[1] (analytic) = 1.553032818177494486927990346228 y2[1] (numeric) = 1.5536086647431463330440088591362 absolute error = 0.0005758465656518461160185129082 relative error = 0.037078840763172669661322832272348 % h = 0.001 y1[1] (analytic) = 1.8331594697407323614354252435016 y1[1] (numeric) = 1.8331032287227284472640008476784 absolute error = 5.62410180039141714243958232e-05 relative error = 0.0030679828423147746164839472768069 % h = 0.001 TOP MAIN SOLVE Loop memory used=1979.8MB, alloc=4.6MB, time=209.94 NO POLE NO POLE x[1] = 0.587 y2[1] (analytic) = 1.5538657009919892688950449575815 y2[1] (numeric) = 1.5544464777213250506305124553466 absolute error = 0.0005807767293357817354674977651 relative error = 0.03737625001729643341638436067865 % h = 0.001 y1[1] (analytic) = 1.8326060204350268433133742727858 y1[1] (numeric) = 1.8325492011081774566520775407137 absolute error = 5.68193268493866612967320721e-05 relative error = 0.0031004660148338267416799439031977 % h = 0.001 TOP MAIN SOLVE Loop memory used=1983.6MB, alloc=4.6MB, time=210.14 NO POLE NO POLE x[1] = 0.588 y2[1] (analytic) = 1.5546980299408292143463748238537 y2[1] (numeric) = 1.5552837705442088650537269611066 absolute error = 0.0005857406033796507073521372529 relative error = 0.037675522326476712002511541447348 % h = 0.001 y1[1] (analytic) = 1.8320517385233702739972034464729 y1[1] (numeric) = 1.8319943359406709079618456974115 absolute error = 5.74025826993660353577490614e-05 relative error = 0.0031332402623974141941753949802536 % h = 0.001 TOP MAIN SOLVE Loop memory used=1987.5MB, alloc=4.6MB, time=210.34 NO POLE NO POLE x[1] = 0.589 y2[1] (analytic) = 1.5555298041916854438027779183523 y2[1] (numeric) = 1.556120542552046794735291491905 absolute error = 0.0005907383603613509325135735527 relative error = 0.037976666134553548643678402773668 % h = 0.001 y1[1] (analytic) = 1.8314966245600445189533243156914 y1[1] (numeric) = 1.831438633740694066735347911047 absolute error = 5.79908193504522179764046444e-05 relative error = 0.0031663077383166110075651167233468 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1991.3MB, alloc=4.6MB, time=210.54 x[1] = 0.59 y2[1] (analytic) = 1.5563610229127837757225433788758 y2[1] (numeric) = 1.5569567930862305512119649212349 absolute error = 0.0005957701734467754894215423591 relative error = 0.038279689909721003699661499532559 % h = 0.001 y1[1] (analytic) = 1.8309406791001634952479965224907 y1[1] (numeric) = 1.8308820950293913783023137599502 absolute error = 5.85840707721169456827625405e-05 relative error = 0.003199670608711842584204985739355 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.591 y2[1] (analytic) = 1.5571916852729055582755637349123 y2[1] (numeric) = 1.5577925214892963708520394995855 absolute error = 0.0006008362163908125764757646732 relative error = 0.038584602144565975677216113559541 % h = 0.001 y1[1] (analytic) = 1.8303839026996726164334569930729 y1[1] (numeric) = 1.8303247203285653241711401724282 absolute error = 5.91823711072922623168206447e-05 relative error = 0.0032333310525733377184894700745654 % h = 0.001 TOP MAIN SOLVE Loop memory used=1995.1MB, alloc=4.6MB, time=210.74 NO POLE NO POLE x[1] = 0.592 y2[1] (analytic) = 1.5580217904413885005619174695279 y2[1] (numeric) = 1.5586277271049268460156340589357 absolute error = 0.0006059366635383454537165894078 relative error = 0.038891411356107107865577473819723 % h = 0.001 y1[1] (analytic) = 1.8298262959153482366025527143388 y1[1] (numeric) = 1.8297665101606752765884333685661 absolute error = 5.97857546729600141193457727e-05 relative error = 0.0032672912618218179649446161397132 % h = 0.001 TOP MAIN SOLVE Loop memory used=1998.9MB, alloc=4.6MB, time=210.94 NO POLE NO POLE x[1] = 0.593 y2[1] (analytic) = 1.5588513375881275032740906974331 y2[1] (numeric) = 1.5594624092779527556580305523809 absolute error = 0.0006110716898252523839398549478 relative error = 0.039200126085833780897026308063943 % h = 0.001 y1[1] (analytic) = 1.8292678593047970936124330390686 y1[1] (numeric) = 1.8292074650488363512676689174905 absolute error = 6.03942559607423447641215781e-05 relative error = 0.0033015534413694252652785666433759 % h = 0.001 TOP MAIN SOLVE Loop memory used=2002.7MB, alloc=4.6MB, time=211.14 NO POLE NO POLE x[1] = 0.594 y2[1] (analytic) = 1.559680325883575488802007297074 y2[1] (numeric) = 1.560296567354354895375218200654 absolute error = 0.00061624147077940657321090358 relative error = 0.039510754899745191533150676612494 % h = 0.001 y1[1] (analytic) = 1.8287085934264557514778582959995 y1[1] (numeric) = 1.8286475855168182582875272846674 absolute error = 6.10079096374931903310113321e-05 relative error = 0.0033361198091808887523812975679447 % h = 0.001 TOP MAIN SOLVE Loop memory used=2006.5MB, alloc=4.6MB, time=211.34 NO POLE NO POLE x[1] = 0.595 y2[1] (analytic) = 1.5605087544987442307800373917875 y2[1] (numeric) = 1.5611302006812659068908100400896 absolute error = 0.0006214461825216761107726483021 relative error = 0.039823306388389517977333788848947 % h = 0.001 y1[1] (analytic) = 1.8281484988395900419346823114442 y1[1] (numeric) = 1.828086872089044151160463079274 absolute error = 6.16267505458907742192321702e-05 relative error = 0.0033709925963349316531314231081744 % h = 0.001 TOP MAIN SOLVE Loop memory used=2010.3MB, alloc=4.6MB, time=211.54 NO POLE NO POLE x[1] = 0.596 y2[1] (analytic) = 1.5613366226052051830751546330814 y2[1] (numeric) = 1.5619633086069721069834971900235 absolute error = 0.0006266860017669239083425569421 relative error = 0.040137789166903172013900344951052 % h = 0.001 y1[1] (analytic) = 1.827587576104294505174067278921 y1[1] (numeric) = 1.8275253252905894740720670466284 absolute error = 6.22508137050311020002322926e-05 relative error = 0.0034061740470859192157507056586686 % h = 0.001 TOP MAIN SOLVE Loop memory used=2014.2MB, alloc=4.6MB, time=211.74 NO POLE NO POLE x[1] = 0.597 y2[1] (analytic) = 1.5621639293750903082154132979511 y2[1] (numeric) = 1.5627958904809153158542066817137 absolute error = 0.0006319611058250076387933837626 relative error = 0.040454211875050138274261860250165 % h = 0.001 y1[1] (analytic) = 1.8270258257814918297479902425356 y1[1] (numeric) = 1.8269629456471808072917806850794 absolute error = 6.28801343110224562095574562e-05 relative error = 0.0034416664189257485913464026917822 % h = 0.001 TOP MAIN SOLVE Loop memory used=2018.0MB, alloc=4.6MB, time=211.93 NO POLE NO POLE x[1] = 0.598 y2[1] (analytic) = 1.5629906739810929052579167718239 y2[1] (numeric) = 1.5636279456536946849321292156208 absolute error = 0.0006372716726017796742124437969 relative error = 0.04077258317726140093031439917934 % h = 0.001 y1[1] (analytic) = 1.8264632484329322916466012885597 y1[1] (numeric) = 1.8263997336851947107555242006555 absolute error = 6.35147477375808910770879042e-05 relative error = 0.0034774719826459816031978627021761 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2021.8MB, alloc=4.6MB, time=212.13 x[1] = 0.599 y2[1] (analytic) = 1.5638168555964684370954495492333 y2[1] (numeric) = 1.5644594734770685241187837392844 absolute error = 0.0006426178806000870233341900511 relative error = 0.041092911762674458115260150609988 % h = 0.001 y1[1] (analytic) = 1.8258998446211931925479943678021 y1[1] (numeric) = 1.8258356899316565658207993461431 absolute error = 6.41546895366267271950216590e-05 relative error = 0.0035135930224002213412769291613355 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6 y2[1] (analytic) = 1.5646424733950353572009454456587 y2[1] (numeric) = 1.5652904733039561284692862640859 absolute error = 0.0006479999089207712683408184272 relative error = 0.041415206345172924371947299309902 % h = 0.001 y1[1] (analytic) = 1.8253356149096782972409524989554 y1[1] (numeric) = 1.8252708149142394151948295241073 absolute error = 6.47999954388820461229748481e-05 relative error = 0.0035500318357667335234418046734848 % h = 0.001 TOP MAIN SOLVE Loop memory used=2025.6MB, alloc=4.6MB, time=212.34 NO POLE NO POLE x[1] = 0.601 y2[1] (analytic) = 1.5654675265511759358089652761314 y2[1] (numeric) = 1.5661209444884396043099908658865 absolute error = 0.0006534179372636685010255897551 relative error = 0.041739475663426221428750669692811 % h = 0.001 y1[1] (analytic) = 1.8247705598626172702212299301249 y1[1] (numeric) = 1.8247051091612628010363003656876 absolute error = 6.54507013544691849295644373e-05 relative error = 0.0035867907338113135687111478988032 % h = 0.001 TOP MAIN SOLVE Loop memory used=2029.4MB, alloc=4.6MB, time=212.54 NO POLE NO POLE x[1] = 0.602 y2[1] (analytic) = 1.5662920142398370855333578191989 y2[1] (numeric) = 1.5669508863857656947916713418805 absolute error = 0.0006588721459286092583135226816 relative error = 0.04206572848092935760294862087957 % h = 0.001 y1[1] (analytic) = 1.8242046800450651114619346622117 y1[1] (numeric) = 1.8241385732016916012312648287938 absolute error = 6.61068433735102306698334179e-05 relative error = 0.0036238720411504003320094049556524 % h = 0.001 TOP MAIN SOLVE Loop memory used=2033.2MB, alloc=4.6MB, time=212.74 NO POLE NO POLE x[1] = 0.603 y2[1] (analytic) = 1.5671159356365311864202784486542 y2[1] (numeric) = 1.5677802983523476048774125239981 absolute error = 0.0006643627158164184571340753439 relative error = 0.04239397358604279613148963791925 % h = 0.001 y1[1] (analytic) = 1.8236379760229015913585755637194 y1[1] (numeric) = 1.8235712075651348638437776905877 absolute error = 6.67684577667275147978731317e-05 relative error = 0.0036612780960144374537757964172417 % h = 0.001 TOP MAIN SOLVE Loop memory used=2037.0MB, alloc=4.6MB, time=212.94 NO POLE NO POLE x[1] = 0.604 y2[1] (analytic) = 1.5679392899173369104357403800814 y2[1] (numeric) = 1.5686091797457668257643807778367 absolute error = 0.0006698898284299153286403977553 relative error = 0.042724219792032412728984975161552 % h = 0.001 y1[1] (analytic) = 1.8230704483628306848493391318916 y1[1] (numeric) = 1.8230030127818446397418251398758 absolute error = 6.74355809860451075139920158e-05 relative error = 0.0036990112503114832818480725455738 % h = 0.001 TOP MAIN SOLVE Loop memory used=2040.9MB, alloc=4.6MB, time=213.14 NO POLE NO POLE x[1] = 0.605 y2[1] (analytic) = 1.5687620762589000453868740447335 y2[1] (numeric) = 1.5694375299247749587386437453834 absolute error = 0.0006754536658749133517697006499 relative error = 0.043056475937109542672711546492245 % h = 0.001 y1[1] (analytic) = 1.822502097632380004711161779855 y1[1] (numeric) = 1.8224339893827148133991160052406 absolute error = 6.81082496651913120457746144e-05 relative error = 0.0037370738696910703270681958524985 % h = 0.001 TOP MAIN SOLVE Loop memory used=2044.7MB, alloc=4.6MB, time=213.34 NO POLE NO POLE x[1] = 0.606 y2[1] (analytic) = 1.569584293838434318276070669554 y2[1] (numeric) = 1.5702653482492955384622099197246 absolute error = 0.0006810544108612201861392501706 relative error = 0.04339075088447111771436200593996 % h = 0.001 y1[1] (analytic) = 1.8219329243999002340321643536487 y1[1] (numeric) = 1.8218641378992799318733019844183 absolute error = 6.87865006203021588623692304e-05 relative error = 0.0037754683336083152181105939667734 % h = 0.001 TOP MAIN SOLVE Loop memory used=2048.5MB, alloc=4.6MB, time=213.54 NO POLE NO POLE x[1] = 0.607 y2[1] (analytic) = 1.5704059418337222180871867092646 y2[1] (numeric) = 1.5710926340804258556914591705098 absolute error = 0.0006866922467036376042724612452 relative error = 0.043727053522339893118236604007556 % h = 0.001 y1[1] (analytic) = 1.8213629292345645578610164066595 y1[1] (numeric) = 1.8212934588637140319611950695747 absolute error = 6.94703708505258998213370848e-05 relative error = 0.0038141970353882801251046309199157 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2052.3MB, alloc=4.6MB, time=213.73 x[1] = 0.608 y2[1] (analytic) = 1.5712270194231158180029863443854 y2[1] (numeric) = 1.5719193867804387794261358701515 absolute error = 0.0006923673573229614231495257661 relative error = 0.044065392764004765125533921982372 % h = 0.001 y1[1] (analytic) = 1.8207921127063680940337985820488 y1[1] (numeric) = 1.8207219528088294655315511917482 absolute error = 7.01598975386285022473903006e-05 relative error = 0.0038532623822905866257115541734458 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.609 y2[1] (analytic) = 1.5720475257855375970529998278124 y2[1] (numeric) = 1.572745605712784578488076802597 absolute error = 0.0006980799272469814350769747846 relative error = 0.044405777547861179144364962338805 % h = 0.001 y1[1] (analytic) = 1.8202204753861273231789322762638 y1[1] (numeric) = 1.8201496202680757230359899358128 absolute error = 7.08551180516001429423404510e-05 relative error = 0.0038926667955742829914224732750625 % h = 0.001 TOP MAIN SOLVE Loop memory used=2056.1MB, alloc=4.6MB, time=213.93 NO POLE NO POLE x[1] = 0.61 y2[1] (analytic) = 1.5728674601004812611909760321627 y2[1] (numeric) = 1.5735712902420927425288465690015 absolute error = 0.0007038301416114813378705368388 relative error = 0.044748216837451628965087290493702 % h = 0.001 y1[1] (analytic) = 1.8196480178454795179007465786548 y1[1] (numeric) = 1.819576461775538255198621004866 absolute error = 7.15560699412627021255737888e-05 relative error = 0.0039324127105629658759679973856179 % h = 0.001 TOP MAIN SOLVE Loop memory used=2059.9MB, alloc=4.6MB, time=214.13 NO POLE NO POLE x[1] = 0.611 y2[1] (analytic) = 1.5736868215480125638011081205036 y2[1] (numeric) = 1.5743964397341738024654537377619 absolute error = 0.0007096181861612386643456172583 relative error = 0.045092719621506247300532965105096 % h = 0.001 y1[1] (analytic) = 1.8190747406568821711422533035835 y1[1] (numeric) = 1.819002477865937292884948939964 absolute error = 7.22627909448782573043636195e-05 relative error = 0.0039725025767101573918720888343732 % h = 0.001 TOP MAIN SOLVE Loop memory used=2063.7MB, alloc=4.6MB, time=214.32 NO POLE NO POLE x[1] = 0.612 y2[1] (analytic) = 1.5745056093087701256322118343075 y2[1] (numeric) = 1.5752210535560211503433215201391 absolute error = 0.0007154442472510247111096858316 relative error = 0.045439294913983487950685844365463 % h = 0.001 y1[1] (analytic) = 1.8185006443936124237277017522008 y1[1] (numeric) = 1.818427669074626665150628427616 absolute error = 7.29753189857585770733245848e-05 relative error = 0.0040129388576649385653425631951285 % h = 0.001 TOP MAIN SOLVE Loop memory used=2067.6MB, alloc=4.6MB, time=214.52 NO POLE NO POLE x[1] = 0.613 y2[1] (analytic) = 1.5753238225639662541590364645238 y2[1] (numeric) = 1.5760451310758128586256872870979 absolute error = 0.0007213085118466044666508225741 relative error = 0.045787951754110899891350497290294 % h = 0.001 y1[1] (analytic) = 1.8179257296297664910854856612912 y1[1] (numeric) = 1.8178520359375926154706433533965 absolute error = 7.36936921738756148423078947e-05 relative error = 0.004053724031337840163868569437564 % h = 0.001 TOP MAIN SOLVE Loop memory used=2071.4MB, alloc=4.6MB, time=214.72 NO POLE NO POLE x[1] = 0.614 y2[1] (analytic) = 1.576141460495387762369889144524 y2[1] (numeric) = 1.5768686716629134989086057780325 absolute error = 0.0007272111675257365387166335085 relative error = 0.046138699206425993586346366327879 % h = 0.001 y1[1] (analytic) = 1.8173499969402590891519756162284 y1[1] (numeric) = 1.8172755789914526161494835854552 absolute error = 7.44179488064730024920307732e-05 relative error = 0.0040948605899669918950914020961768 % h = 0.001 TOP MAIN SOLVE Loop memory used=2075.2MB, alloc=4.6MB, time=214.92 NO POLE NO POLE x[1] = 0.615 y2[1] (analytic) = 1.5769585222853967869797536773647 y2[1] (numeric) = 1.5776916746878759600607313877137 absolute error = 0.000733152402479173080977710349 relative error = 0.046491546360817199822757003512159 % h = 0.001 y1[1] (analytic) = 1.8167734469008228594568510241632 y1[1] (numeric) = 1.8166982987734541809128942965837 absolute error = 7.51481273686785439567275795e-05 relative error = 0.0041363510401845309797292186184118 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2079.0MB, alloc=4.6MB, time=215.12 x[1] = 0.616 y2[1] (analytic) = 1.5777750071169316060680856843173 y2[1] (numeric) = 1.5785141395224432657870554540968 absolute error = 0.0007391324055116597189697697795 relative error = 0.046846502332564921368765121671053 % h = 0.001 y1[1] (analytic) = 1.8161960800880077933905065620621 y1[1] (numeric) = 1.8161201958214736756817734578437 absolute error = 7.58842665341177087331042184e-05 relative error = 0.0041781979030832711055687453945116 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.617 y2[1] (analytic) = 1.5785909141735074561404664369381 y2[1] (numeric) = 1.5793360655395503916157750065607 absolute error = 0.0007451513660429354753085696226 relative error = 0.047203576262382677753609848267624 % h = 0.001 y1[1] (analytic) = 1.8156178970791806556541088321442 y1[1] (numeric) = 1.8155412706740151275287939605712 absolute error = 7.66264051655281253148715730e-05 relative error = 0.0042204037142836327737879436955478 % h = 0.001 TOP MAIN SOLVE Loop memory used=2082.8MB, alloc=4.6MB, time=215.31 NO POLE NO POLE x[1] = 0.618 y2[1] (analytic) = 1.579406242639217348613298311092 y2[1] (numeric) = 1.5801574521133260813074699717119 absolute error = 0.0007512094741087326941716606199 relative error = 0.047562777316458343469212927123602 % h = 0.001 y1[1] (analytic) = 1.8150388984525244068928797746095 y1[1] (numeric) = 1.814961523870209031818327646843 absolute error = 7.73745823153750745521277665e-05 relative error = 0.0042629710240008360531429591237727 % h = 0.001 TOP MAIN SOLVE Loop memory used=2086.6MB, alloc=4.6MB, time=215.51 NO POLE NO POLE x[1] = 0.619 y2[1] (analytic) = 1.5802209916987328857207253783037 y2[1] (numeric) = 1.5809782986190946626857663720755 absolute error = 0.0007573069203617769650409937718 relative error = 0.047924114686495479893035666102973 % h = 0.001 y1[1] (analytic) = 1.8144590847870376255131842043293 y1[1] (numeric) = 1.8143809559498111575302493512242 absolute error = 7.81288372264679829348531051e-05 relative error = 0.0043059023971123567618405846017008 % h = 0.001 TOP MAIN SOLVE Loop memory used=2090.5MB, alloc=4.6MB, time=215.71 NO POLE NO POLE x[1] = 0.62 y2[1] (analytic) = 1.5810351605373050758429632275822 y2[1] (numeric) = 1.5817986044333778628886635918137 absolute error = 0.0007634438960727870457003642315 relative error = 0.04828759758975476123174816227257 % h = 0.001 y1[1] (analytic) = 1.8138784566625339286839996543607 y1[1] (numeric) = 1.8137995674532013507681998788124 absolute error = 7.88892093325779157997755483e-05 relative error = 0.0043492004132256471012240150484992 % h = 0.001 TOP MAIN SOLVE Loop memory used=2094.3MB, alloc=4.6MB, time=215.90 NO POLE NO POLE x[1] = 0.621 y2[1] (analytic) = 1.581848748340765148255222689459 y2[1] (numeric) = 1.5826183689338966230397043230552 absolute error = 0.0007696205931314747844816335962 relative error = 0.048653235269095494785316733681221 % h = 0.001 y1[1] (analytic) = 1.8132970146596413925233475247695 y1[1] (numeric) = 1.8132173589213823364528876662491 absolute error = 7.96557382590560704598585204e-05 relative error = 0.0043928676667461217697249523762716 % h = 0.001 TOP MAIN SOLVE Loop memory used=2098.1MB, alloc=4.6MB, time=216.10 NO POLE NO POLE x[1] = 0.622 y2[1] (analytic) = 1.5826617542955253672964127133811 y2[1] (numeric) = 1.5834375914995729123381663464857 absolute error = 0.0007758372040475450417536331046 relative error = 0.049021036993017235831144534510448 % h = 0.001 y1[1] (analytic) = 1.8127147593598019714702653502798 y1[1] (numeric) = 1.812634330895978518201009693487 absolute error = 8.04284638234532692556567928e-05 relative error = 0.0044369067669454105898792206973148 % h = 0.001 TOP MAIN SOLVE Loop memory used=2101.9MB, alloc=4.6MB, time=216.30 NO POLE NO POLE x[1] = 0.623 y2[1] (analytic) = 1.583474177588579845956808229827 y2[1] (numeric) = 1.5842562715105315415674558405422 absolute error = 0.0007820939219516956106476107152 relative error = 0.049391012055701497427934011697634 % h = 0.001 y1[1] (analytic) = 1.8121316913452709168429008147311 y1[1] (numeric) = 1.8120504839192347763903730346755 absolute error = 8.12074260361404525277800556e-05 relative error = 0.0044813203380298786855660652683047 % h = 0.001 TOP MAIN SOLVE Loop memory used=2105.7MB, alloc=4.6MB, time=216.50 NO POLE NO POLE x[1] = 0.624 y2[1] (analytic) = 1.584286017407505358883869409543 y2[1] (numeric) = 1.585074408348101976020882454866 absolute error = 0.000788390940596617137013045323 relative error = 0.049763169777053555438978162437341 % h = 0.001 y1[1] (analytic) = 1.8115478111991161945833089542001 y1[1] (numeric) = 1.8114658185340152644117992565641 absolute error = 8.19926651009301715096976360e-05 relative error = 0.004526111019209415251013324130833 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2109.5MB, alloc=4.6MB, time=216.71 x[1] = 0.625 y2[1] (analytic) = 1.5850972729404621548053993141501 y2[1] (numeric) = 1.5858920013948201478439969256054 absolute error = 0.0007947284543579930385976114553 relative error = 0.050137519502744349074630457295524 % h = 0.001 y1[1] (analytic) = 1.8109631195052179021895348039411 y1[1] (numeric) = 1.8108803352838022031083946923152 absolute error = 8.27842214156990811401116259e-05 relative error = 0.0045712814647664919575117706564083 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.626 y2[1] (analytic) = 1.5859079433761947683692275150305 y2[1] (numeric) = 1.5867090500344302677926725527111 absolute error = 0.0008011066582354994234450376806 relative error = 0.050514070604252477253750788990668 % h = 0.001 y1[1] (analytic) = 1.810377616848267684835564557014 y1[1] (numeric) = 1.8102940347126946734027704375703 absolute error = 8.35821355730114327941194437e-05 relative error = 0.0046168343441254920482022194210309 % h = 0.001 TOP MAIN SOLVE Loop memory used=2113.3MB, alloc=4.6MB, time=216.90 NO POLE NO POLE x[1] = 0.627 y2[1] (analytic) = 1.5867180279040328313986078408783 y2[1] (numeric) = 1.5875255536518866364061124025433 absolute error = 0.000807525747853805007504561665 relative error = 0.050892832478906291083976877460058 % h = 0.001 y1[1] (analytic) = 1.8097913038137681506797291146007 y1[1] (numeric) = 1.8097069173654074071127967340205 absolute error = 8.43864483607435669323805802e-05 relative error = 0.0046627723419223111757385593399746 % h = 0.001 TOP MAIN SOLVE Loop memory used=2117.2MB, alloc=4.6MB, time=217.10 NO POLE NO POLE x[1] = 0.628 y2[1] (analytic) = 1.5875275257138918835625189985835 y2[1] (numeric) = 1.5883415116333554545939646428979 absolute error = 0.0008139859194635710314456443144 relative error = 0.051273814549926082760727192993363 % h = 0.001 y1[1] (analytic) = 1.8092041809880322853621447195559 y1[1] (numeric) = 1.8091189837872695759564772235983 absolute error = 8.51972007627094056674959576e-05 relative error = 0.004709098158074231042088818870654 % h = 0.001 TOP MAIN SOLVE Loop memory used=2121.0MB, alloc=4.6MB, time=217.30 NO POLE NO POLE x[1] = 0.629 y2[1] (analytic) = 1.5883364359962741824600573972178 y2[1] (numeric) = 1.5891569233662166336367289619667 absolute error = 0.0008204873699424511766715647489 relative error = 0.051657026266466371184902636735832 % h = 0.001 y1[1] (analytic) = 1.8086162489581828656917761757053 y1[1] (numeric) = 1.8085302345242235787465293737277 absolute error = 8.60144339592869452468019776e-05 relative error = 0.004755814507850066904214772093916 % h = 0.001 TOP MAIN SOLVE Loop memory used=2124.8MB, alloc=4.6MB, time=217.50 NO POLE NO POLE x[1] = 0.63 y2[1] (analytic) = 1.5891447579422695131181120907946 y2[1] (numeric) = 1.5899717882390656045986375677684 absolute error = 0.0008270302967960914805254769738 relative error = 0.052042477103658284599319927939919 % h = 0.001 y1[1] (analytic) = 1.8080275083121518725237089657771 y1[1] (numeric) = 1.8079406701228238267752581908457 absolute error = 8.68381893280457484507749314e-05 relative error = 0.004802924121940590013868554078315 % h = 0.001 TOP MAIN SOLVE Loop memory used=2128.6MB, alloc=4.6MB, time=217.70 NO POLE NO POLE x[1] = 0.631 y2[1] (analytic) = 1.5899524907435559969015123421982 y2[1] (numeric) = 1.5907861056417151271521948102232 absolute error = 0.000833614898159130250682468025 relative error = 0.052430176562652040543979875032006 % h = 0.001 y1[1] (analytic) = 1.8074379596386799028272173906462 y1[1] (numeric) = 1.8073502911302355273903111556396 absolute error = 8.76685084443754369062350066e-05 relative error = 0.0048504297465292260642623639170259 % h = 0.001 TOP MAIN SOLVE Loop memory used=2132.4MB, alloc=4.6MB, time=217.90 NO POLE NO POLE x[1] = 0.632 y2[1] (analytic) = 1.5907596335924008998348388981996 y2[1] (numeric) = 1.5915998749651970978135600142913 absolute error = 0.0008402413727961979787211160917 relative error = 0.052820134170659523430348439985315 % h = 0.001 y1[1] (analytic) = 1.8068476035273155809452166617754 y1[1] (numeric) = 1.8067590980942334657619031291283 absolute error = 8.85054330821151833135326471e-05 relative error = 0.004898334143363030720904688256433 % h = 0.001 TOP MAIN SOLVE Loop memory used=2136.2MB, alloc=4.6MB, time=218.10 NO POLE NO POLE x[1] = 0.633 y2[1] (analytic) = 1.5915661856816614403350906538176 y2[1] (numeric) = 1.592413095601764357587958659456 absolute error = 0.0008469099201029172528680056384 relative error = 0.05321235948099696003490772775957 % h = 0.001 y1[1] (analytic) = 1.8062564405684149690456876873498 y1[1] (numeric) = 1.8061670915632007848421007938549 absolute error = 8.93490052141842035868934949e-05 relative error = 0.0049466400898239433184536714993401 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2140.0MB, alloc=4.6MB, time=218.30 x[1] = 0.634 y2[1] (analytic) = 1.592372146204785596354398973423 y2[1] (numeric) = 1.5932257669448924990243075883016 absolute error = 0.0008536207401069026699086148786 relative error = 0.053606862073127693212317732122818 % h = 0.001 y1[1] (analytic) = 1.8056644713531409767656641006336 y1[1] (numeric) = 1.805574272086127763516757009048 absolute error = 9.01992670132132489070915856e-05 relative error = 0.0049953503790003198100153875502001 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.635 y2[1] (analytic) = 1.5931775143558129119319825259412 y2[1] (numeric) = 1.5940378883892816726782404750156 absolute error = 0.0008603740334687607462579490744 relative error = 0.054003651552705054128617831234307 % h = 0.001 y1[1] (analytic) = 1.8050716964734627700483718865097 y1[1] (numeric) = 1.8049806402126105929506862726534 absolute error = 9.10562608521770976856138563e-05 relative error = 0.005044467819758746059911926381382 % h = 0.001 TOP MAIN SOLVE Loop memory used=2143.9MB, alloc=4.6MB, time=218.50 NO POLE NO POLE x[1] = 0.636 y2[1] (analytic) = 1.5939822893293753031545360822647 y2[1] (numeric) = 1.5948494593308583929827203333308 absolute error = 0.0008671700014830898281842510661 relative error = 0.054402737551615333314989638592043 % h = 0.001 y1[1] (analytic) = 1.8044781165221551791741127690167 y1[1] (numeric) = 1.8043861964928501511266732966323 absolute error = 9.19200293050280474394723844e-05 relative error = 0.005093995236816132575561494772309 % h = 0.001 TOP MAIN SOLVE Loop memory used=2147.7MB, alloc=4.6MB, time=218.70 NO POLE NO POLE x[1] = 0.637 y2[1] (analytic) = 1.5947864703206978635242473145531 y2[1] (numeric) = 1.5956604791667773435254263927164 absolute error = 0.0008740088460794800011790781633 relative error = 0.054804129728020850842699863392351 % h = 0.001 y1[1] (analytic) = 1.8038837320927981059854833289476 y1[1] (numeric) = 1.8037909414776507755789075148673 absolute error = 9.27906151473304065758140803e-05 relative error = 0.0051439354708120917787502395693085 % h = 0.001 TOP MAIN SOLVE Loop memory used=2151.5MB, alloc=4.6MB, time=218.90 NO POLE NO POLE x[1] = 0.638 y2[1] (analytic) = 1.5955900565255996687336362294726 y2[1] (numeric) = 1.5964709472954231817321032215251 absolute error = 0.0008808907698235129984669920525 relative error = 0.055207837766403125919943305773546 % h = 0.001 y1[1] (analytic) = 1.8032885437797759303075226262437 y1[1] (numeric) = 1.8031948757184190343214371554152 absolute error = 9.36680613568959860854708285e-05 relative error = 0.0051942913783815989212333322799541 % h = 0.001 TOP MAIN SOLVE Loop memory used=2155.3MB, alloc=4.6MB, time=219.10 NO POLE NO POLE x[1] = 0.639 y2[1] (analytic) = 1.5963930471404945808464124606007 y2[1] (numeric) = 1.597280863116412342955060526307 absolute error = 0.0008878159759177621086480657063 relative error = 0.055613871377606146211411994452491 % h = 0.001 y1[1] (analytic) = 1.8026925521782769155633819069852 y1[1] (numeric) = 1.8025979997671624949722373206906 absolute error = 9.45524111144205911445862946e-05 relative error = 0.0052450658322279377542811026988318 % h = 0.001 TOP MAIN SOLVE Loop memory used=2159.1MB, alloc=4.6MB, time=219.29 NO POLE NO POLE x[1] = 0.64 y2[1] (analytic) = 1.5971954413623920518835462392079 y2[1] (numeric) = 1.5980902260305948439660126076044 absolute error = 0.0008947846682027920824663683965 relative error = 0.05602224029887973718152675278164 % h = 0.001 y1[1] (analytic) = 1.8020957578842926135861107792603 y1[1] (numeric) = 1.8020003141764884920734873304598 absolute error = 9.54437078041215126234488005e-05 relative error = 0.005296261721195932066484775433263 % h = 0.001 TOP MAIN SOLVE Loop memory used=2162.9MB, alloc=4.6MB, time=219.49 NO POLE NO POLE x[1] = 0.641 y2[1] (analytic) = 1.5979972383888979268137494574101 y2[1] (numeric) = 1.5988990354400560858524470042508 absolute error = 0.0009017970511581590386975468407 relative error = 0.056432954293923031762382142914097 % h = 0.001 y1[1] (analytic) = 1.801498161494617268627155046077 y1[1] (numeric) = 1.8014018194996028926086533932687 absolute error = 9.63419950143760185016528083e-05 relative error = 0.0053478819503454642088557449911495 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2166.7MB, alloc=4.6MB, time=219.69 x[1] = 0.642 y2[1] (analytic) = 1.5987984374182152459475638332798 y2[1] (numeric) = 1.5997072907481186563167124105029 absolute error = 0.0009088533299034103691485772231 relative error = 0.05684602315292804064757477225236 % h = 0.001 y1[1] (analytic) = 1.8008997636068472205621621867689 y1[1] (numeric) = 1.8008025162903088597169734821202 absolute error = 9.72473165383608451887046487e-05 relative error = 0.0053999294410252817309924220134766 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.643 y2[1] (analytic) = 1.599599037649145046734253783893 y2[1] (numeric) = 1.6005149913593441313770165032421 absolute error = 0.0009159537101990846427627193491 relative error = 0.057261456692623323513208340634655 % h = 0.001 y1[1] (analytic) = 1.8003005648193803072946912810412 y1[1] (numeric) = 1.8002024051030056146059420998554 absolute error = 9.81597163746926887491811858e-05 relative error = 0.0054524071309470932568495952902829 % h = 0.001 TOP MAIN SOLVE Loop memory used=2170.6MB, alloc=4.6MB, time=219.89 NO POLE NO POLE x[1] = 0.644 y2[1] (analytic) = 1.6003990382810871649607022094871 y2[1] (numeric) = 1.6013221366795348764695248699857 absolute error = 0.0009230983984477115088226604986 relative error = 0.057679264756317761467496547016349 % h = 0.001 y1[1] (analytic) = 1.7997005657314152663584249718963 y1[1] (numeric) = 1.7996014864926871966623934287796 absolute error = 9.90792387280696960315431167e-05 relative error = 0.0055053179742599547334270811240747 % h = 0.001 TOP MAIN SOLVE Loop memory used=2174.4MB, alloc=4.6MB, time=220.09 NO POLE NO POLE x[1] = 0.645 y2[1] (analytic) = 1.6011984385140410353515079898995 y2[1] (numeric) = 1.6021287261157358469507527825497 absolute error = 0.0009302876016948115992447926502 relative error = 0.058099457213944431030517049405878 % h = 0.001 y1[1] (analytic) = 1.7990997669429511357184818651779 y1[1] (numeric) = 1.798999761014941221762782167606 absolute error = 0.0001000059280099139556996975719 relative error = 0.0055586649416249471904972748116337 % h = 0.001 TOP MAIN SOLVE Loop memory used=2178.2MB, alloc=4.6MB, time=220.29 NO POLE NO POLE x[1] = 0.646 y2[1] (analytic) = 1.6019972375486064915694845932574 y2[1] (numeric) = 1.6029347590762363879994421159012 absolute error = 0.0009375215276298964299575226438 relative error = 0.058522043962104579945806068452384 % h = 0.001 y1[1] (analytic) = 1.7984981690547866537724285643704 y1[1] (numeric) = 1.7983972292259476387832621667676 absolute error = 0.0001009398288390149891663976028 relative error = 0.0056124510202901471543151793691571 % h = 0.001 TOP MAIN SOLVE Loop memory used=2182.0MB, alloc=4.6MB, time=220.49 NO POLE NO POLE x[1] = 0.647 y2[1] (analytic) = 1.6027954345859845656157597964862 y2[1] (numeric) = 1.6037402349705720339171162670288 absolute error = 0.0009448003845874683013564705426 relative error = 0.058947034924111705125623931926061 % h = 0.001 y1[1] (analytic) = 1.7978957726685196585515913395922 y1[1] (numeric) = 1.7977938916824774843101637805718 absolute error = 0.0001018809860421742414275590204 relative error = 0.0056666792141658908630996662392475 % h = 0.001 TOP MAIN SOLVE Loop memory used=2185.8MB, alloc=4.6MB, time=220.69 NO POLE NO POLE x[1] = 0.648 y2[1] (analytic) = 1.6035930288279782866286771176028 y2[1] (numeric) = 1.6045451532095263068265064845441 absolute error = 0.0009521243815480201978293669413 relative error = 0.059374440050035733031866862061204 % h = 0.001 y1[1] (analytic) = 1.7972925783865464861232682294208 y1[1] (numeric) = 1.7971897489418916355514716615379 absolute error = 0.0001028294446548505717965678829 relative error = 0.0057213525439003334369412238610732 % h = 0.001 TOP MAIN SOLVE Loop memory used=2189.6MB, alloc=4.6MB, time=220.88 NO POLE NO POLE x[1] = 0.649 y2[1] (analytic) = 1.6043900194769934790807001609604 y2[1] (numeric) = 1.605349513205132514767043576202 absolute error = 0.0009594937281390356863434152416 relative error = 0.059804269316747302794749598274636 % h = 0.001 y1[1] (analytic) = 1.796688586812061368194443173288 y1[1] (numeric) = 1.7965848015621395614499055285696 absolute error = 0.0001037852499218067445376447184 relative error = 0.0057764740469553041596793754914681 % h = 0.001 TOP MAIN SOLVE Loop memory used=2193.5MB, alloc=4.6MB, time=221.09 NO POLE NO POLE x[1] = 0.65 y2[1] (analytic) = 1.6051864057360395603725216786059 y2[1] (numeric) = 1.6061533143706755491866095185936 absolute error = 0.0009669086346359888140878399877 relative error = 0.060236532727962152371537012959303 % h = 0.001 y1[1] (analytic) = 1.7960837985490558289176045706799 y1[1] (numeric) = 1.7959790501017580719982072463696 absolute error = 0.0001047484472977569193973243103 relative error = 0.0058320467776824590352024008312615 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2197.3MB, alloc=4.6MB, time=221.29 x[1] = 0.651 y2[1] (analytic) = 1.6059821868087303378235797537072 y2[1] (numeric) = 1.6069565561206936818287440509198 absolute error = 0.0009743693119633440051642972126 relative error = 0.060671240314285608047760705606068 % h = 0.001 y1[1] (analytic) = 1.7954782142023180808992714612743 y1[1] (numeric) = 1.795372495119870065757238358699 absolute error = 0.0001057190824480151420331025753 relative error = 0.0058880738073997317855530812170359 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.652 y2[1] (analytic) = 1.6067773618992848050581841156014 y2[1] (numeric) = 1.6077592378709803610145018929992 absolute error = 0.0009818759716955559563177773978 relative error = 0.061108402133257177583518639386665 % h = 0.001 y1[1] (analytic) = 1.7948718343774324204118313174373 y1[1] (numeric) = 1.794765137176183275577493022724 absolute error = 0.0001066972012491448343382947133 relative error = 0.0059445582244680844631770090794869 % h = 0.001 TOP MAIN SOLVE Loop memory used=2201.1MB, alloc=4.6MB, time=221.49 NO POLE NO POLE x[1] = 0.653 y2[1] (analytic) = 1.6075719302125279377864562004034 y2[1] (numeric) = 1.6085613590385860073181567864897 absolute error = 0.0009894288260580695317005860863 relative error = 0.061548028269395247307622202651322 % h = 0.001 y1[1] (analytic) = 1.7942646596807786218092942371924 y1[1] (numeric) = 1.7941569768309890125246320957729 absolute error = 0.0001076828497896092846621414195 relative error = 0.0060015031343685588546246648477596 % h = 0.001 TOP MAIN SOLVE Loop memory used=2204.9MB, alloc=4.6MB, time=221.69 NO POLE NO POLE x[1] = 0.654 y2[1] (analytic) = 1.6083658909538914889792871763013 y2[1] (numeric) = 1.6093629190418198086359491177223 absolute error = 0.000997028087928319656661941421 relative error = 0.061990128834241883462525624879654 % h = 0.001 y1[1] (analytic) = 1.7936566907195313311475691218565 y1[1] (numeric) = 1.7935480146451609080096449293478 absolute error = 0.0001086760743704231379241925087 relative error = 0.0060589116597796298580150733073313 % h = 0.001 TOP MAIN SOLVE Loop memory used=2208.7MB, alloc=4.6MB, time=221.89 NO POLE NO POLE x[1] = 0.655 y2[1] (analytic) = 1.609159243329414783436518758647 y2[1] (numeric) = 1.6101639173002515146470744405428 absolute error = 0.0010046739708367312105556818958 relative error = 0.062434713966407738103147440583128 % h = 0.001 y1[1] (analytic) = 1.7930479281016594590098682180164 y1[1] (numeric) = 1.7929382511801536541242462281966 absolute error = 0.0001096769215058048856219898198 relative error = 0.0061167869406548620215875132000797 % h = 0.001 TOP MAIN SOLVE Loop memory used=2212.5MB, alloc=4.6MB, time=222.10 NO POLE NO POLE x[1] = 0.656 y2[1] (analytic) = 1.6099519865457455117475522467268 y2[1] (numeric) = 1.6109643532347132306661107781397 absolute error = 0.0010123666889677189185585314129 relative error = 0.062881793831617059852872664953649 % h = 0.001 y1[1] (analytic) = 1.792438372435925572537847198391 y1[1] (numeric) = 1.7923276869980017421821161346522 absolute error = 0.0001106854379238303557310637388 relative error = 0.006175132134300870435708574864792 % h = 0.001 TOP MAIN SOLVE Loop memory used=2216.3MB, alloc=4.6MB, time=222.30 NO POLE NO POLE x[1] = 0.657 y2[1] (analytic) = 1.6107441198101405236435918216702 y2[1] (numeric) = 1.6117642262673012108860831440014 absolute error = 0.0010201064571606872424913223312 relative error = 0.06333137862275280982020751039963 % h = 0.001 y1[1] (analytic) = 1.7918280243318852866690887503875 y1[1] (numeric) = 1.7917163226613181994665925002878 absolute error = 0.0001117016705670872024962500997 relative error = 0.0062339504154555871757649480240624 % h = 0.001 TOP MAIN SOLVE Loop memory used=2220.2MB, alloc=4.6MB, time=222.50 NO POLE NO POLE x[1] = 0.658 y2[1] (analytic) = 1.6115356423304666207407287533185 y2[1] (numeric) = 1.6125635358213776510113642838895 absolute error = 0.001027893490911030270635530571 relative error = 0.063783478559901882979745822924874 % h = 0.001 y1[1] (analytic) = 1.7912168843998866545815384348186 y1[1] (numeric) = 1.7911041587332933241854251082137 absolute error = 0.0001127256665933303961133266049 relative error = 0.0062932449763668344984577837042952 % h = 0.001 TOP MAIN SOLVE Loop memory used=2224.0MB, alloc=4.6MB, time=222.70 NO POLE NO POLE x[1] = 0.659 y2[1] (analytic) = 1.6123265533152013486730737730358 y2[1] (numeric) = 1.6133622813215724802796112030395 absolute error = 0.0010357280063711316065374300037 relative error = 0.064238103890400435321297940528777 % h = 0.001 y1[1] (analytic) = 1.7906049532510695573455023702928 y1[1] (numeric) = 1.7904911957776934186332024100603 absolute error = 0.0001137574733761387122999602325 relative error = 0.0063530190268712059991224180040818 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2227.8MB, alloc=4.6MB, time=222.90 x[1] = 0.66 y2[1] (analytic) = 1.6131168519734337886151454793963 y2[1] (numeric) = 1.6141604621937851528719376057006 absolute error = 0.0010436102203513642567921263043 relative error = 0.064695264888879317071228361995309 % h = 0.001 y1[1] (analytic) = 1.7899922314973650927838170912302 y1[1] (numeric) = 1.7898774343588595205620621418449 absolute error = 0.0001147971385055722217549493853 relative error = 0.0064132757944732569428277808098541 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.661 y2[1] (analytic) = 1.6139065375148653481927232544241 y2[1] (numeric) = 1.6149580778651864387105229376057 absolute error = 0.0010515403503210905177996831816 relative error = 0.065154971857309612290248453257355 % h = 0.001 y1[1] (analytic) = 1.7893787197514949635408027192822 y1[1] (numeric) = 1.789262875041706132761297982512 absolute error = 0.0001158447097888307795047367702 relative error = 0.0064740185244250049871630481139106 % h = 0.001 TOP MAIN SOLVE Loop memory used=2231.6MB, alloc=4.6MB, time=223.10 NO POLE NO POLE x[1] = 0.662 y2[1] (analytic) = 1.6146956091498105517813737796007 y2[1] (numeric) = 1.6157551277642202136428592860158 absolute error = 0.0010595186144096618614855064151 relative error = 0.065617235125048285152114398914644 % h = 0.001 y1[1] (analytic) = 1.7887644186269708643606113791516 y1[1] (numeric) = 1.7886475183917199508464752179639 absolute error = 0.0001169002352509135141361611877 relative error = 0.0065352504798057425197951428289081 % h = 0.001 TOP MAIN SOLVE Loop memory used=2235.4MB, alloc=4.6MB, time=223.29 NO POLE NO POLE x[1] = 0.663 y2[1] (analytic) = 1.6154840660891978301918608531767 y2[1] (numeric) = 1.6165516113206052490118379566096 absolute error = 0.0010675452314074188199771034329 relative error = 0.066082065048883933207888719062138 % h = 0.001 y1[1] (analytic) = 1.7881493287380938685755835804134 y1[1] (numeric) = 1.7880313649749585892586691718609 absolute error = 0.0001179637631352793169144085525 relative error = 0.006596974941602161839079656016428 % h = 0.001 TOP MAIN SOLVE Loop memory used=2239.2MB, alloc=4.6MB, time=223.50 NO POLE NO POLE x[1] = 0.664 y2[1] (analytic) = 1.6162719075445703097416488234469 y2[1] (numeric) = 1.6173475279653370006108781116921 absolute error = 0.0010756204207666908692292882452 relative error = 0.066549472013082647940635905186784 % h = 0.001 y1[1] (analytic) = 1.7875334506999538138052260769289 y1[1] (numeric) = 1.7874144153580493054744409623701 absolute error = 0.0001190353419045083307851145588 relative error = 0.0066591952087887944112297593573479 % h = 0.001 TOP MAIN SOLVE Loop memory used=2243.0MB, alloc=4.6MB, time=223.69 NO POLE NO POLE x[1] = 0.665 y2[1] (analytic) = 1.6170591327280866007117105665481 y2[1] (numeric) = 1.6181428771306893970233004199652 absolute error = 0.0010837444026027963115898534171 relative error = 0.067019466429433982915639074318187 % h = 0.001 y1[1] (analytic) = 1.7869167851284286868664255048233 y1[1] (numeric) = 1.7867966701081877224271659413725 absolute error = 0.0001201150202409644392595634508 relative error = 0.0067219145984087654427928222712366 % h = 0.001 TOP MAIN SOLVE Loop memory used=2246.9MB, alloc=4.6MB, time=223.89 NO POLE NO POLE x[1] = 0.666 y2[1] (analytic) = 1.6178457408525215851878515520396 y2[1] (numeric) = 1.6189376582502166273451492344478 absolute error = 0.0010919173976950421572976824082 relative error = 0.067492058737297029831444987053064 % h = 0.001 y1[1] (analytic) = 1.786299332640184007895512888763 y1[1] (numeric) = 1.7861781297931365491403309694064 absolute error = 0.0001212028470474587551819193566 relative error = 0.0067851364456548650124528453320747 % h = 0.001 TOP MAIN SOLVE Loop memory used=2250.7MB, alloc=4.6MB, time=224.09 NO POLE NO POLE x[1] = 0.667 y2[1] (analytic) = 1.6186317311312672042857621550066 y2[1] (numeric) = 1.619731870758754928290667382043 absolute error = 0.0011001396274877240049052270364 relative error = 0.06796725940364660277726931338173 % h = 0.001 y1[1] (analytic) = 1.7856810938526722136827948944167 y1[1] (numeric) = 1.7855587949812242995734174758245 absolute error = 0.0001222988714479141093774185922 relative error = 0.0068488641039509370114685882896762 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2254.5MB, alloc=4.6MB, time=224.29 x[1] = 0.668 y2[1] (analytic) = 1.6194171027783332447590109897005 y2[1] (numeric) = 1.6205255140924243706796282157298 absolute error = 0.0011084113140911259206172260293 relative error = 0.068445078923119531002522650073558 % h = 0.001 y1[1] (analytic) = 1.7850620693841320402201684925159 y1[1] (numeric) = 1.7849386662413440096809880492744 absolute error = 0.0001234031427880305391804432415 relative error = 0.006913100945033587147372519424076 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.669 y2[1] (analytic) = 1.6202018550083481249891926567879 y2[1] (numeric) = 1.6213185876886306453057301484011 absolute error = 0.0011167326802825203165374916132 relative error = 0.068925527818061060504450485377627 % h = 0.001 y1[1] (analytic) = 1.7844422598535879044624364868518 y1[1] (numeric) = 1.7843177441429519526855950986784 absolute error = 0.0001245157106359517768413881734 relative error = 0.006977850359034211270894557351533 % h = 0.001 TOP MAIN SOLVE Loop memory used=2258.3MB, alloc=4.6MB, time=224.49 NO POLE NO POLE x[1] = 0.67 y2[1] (analytic) = 1.6209859870365596803574439141266 y2[1] (numeric) = 1.6221110909860668481852594559824 absolute error = 0.0011251039495071678278155418558 relative error = 0.069408616638571364740117061371324 % h = 0.001 y1[1] (analytic) = 1.7838216658808492853029421448381 y1[1] (numeric) = 1.7836960292560663525651309193837 absolute error = 0.0001256366247829327378112254544 relative error = 0.0070431157545613452914371304927332 % h = 0.001 TOP MAIN SOLVE Loop memory used=2262.1MB, alloc=4.6MB, time=224.69 NO POLE NO POLE x[1] = 0.671 y2[1] (analytic) = 1.6217694980788359479965428996171 y2[1] (numeric) = 1.6229030234247152651852277066379 absolute error = 0.0011335253458793171886848070208 relative error = 0.06989435596255216476920389180715 % h = 0.001 y1[1] (analytic) = 1.7832002880865101037641419549564 y1[1] (numeric) = 1.7830735221512660957552392930836 absolute error = 0.0001267659352440080089026618728 relative error = 0.0071089005587833379518144593236659 % h = 0.001 TOP MAIN SOLVE Loop memory used=2265.9MB, alloc=4.6MB, time=224.88 NO POLE NO POLE x[1] = 0.672 y2[1] (analytic) = 1.6225523873516659509228066540965 y2[1] (numeric) = 1.6236943844458491560301907426097 absolute error = 0.0011419970941832051073840885132 relative error = 0.070382756395753459134338544603233 % h = 0.001 y1[1] (analytic) = 1.7825781270919481024037363204577 y1[1] (numeric) = 1.7824502233996894410674095434674 absolute error = 0.0001279036922586613363267769903 relative error = 0.0071752082175113477383792869111863 % h = 0.001 TOP MAIN SOLVE Loop memory used=2269.7MB, alloc=4.6MB, time=225.08 NO POLE NO POLE x[1] = 0.673 y2[1] (analytic) = 1.6233346540721604815470028124424 y2[1] (numeric) = 1.6244851734920345376869567115329 absolute error = 0.0011505194198740561399538990905 relative error = 0.070873828571820363785918183815391 % h = 0.001 y1[1] (analytic) = 1.7819551835193242239369787831393 y1[1] (numeric) = 1.7818261335730327278233747623454 absolute error = 0.0001290499462914961136040207939 relative error = 0.007242042195282665208094661229119 % h = 0.001 TOP MAIN SOLVE Loop memory used=2273.6MB, alloc=4.6MB, time=225.29 NO POLE NO POLE x[1] = 0.674 y2[1] (analytic) = 1.6241162974580528845634919520396 y2[1] (numeric) = 1.6252753900071319671263912149289 absolute error = 0.0011590925490790825628992628893 relative error = 0.071367583152340062358645277035246 % h = 0.001 y1[1] (analytic) = 1.7813314579915819890757851548342 y1[1] (numeric) = 1.7812012532435490822064367132136 absolute error = 0.0001302047480329068693484416206 relative error = 0.0073094059754443620195669243976118 % h = 0.001 TOP MAIN SOLVE Loop memory used=2277.4MB, alloc=4.6MB, time=225.49 NO POLE NO POLE x[1] = 0.675 y2[1] (analytic) = 1.6248973167276998392168177095343 y2[1] (numeric) = 1.6260650334362983234615282129956 absolute error = 0.0011677167085984842447105034613 relative error = 0.071864030826888867107249801195052 % h = 0.001 y1[1] (analytic) = 1.780706951132446873585264717454 y1[1] (numeric) = 1.7805755829840471218303407108688 absolute error = 0.0001313681483997517549240065852 relative error = 0.007377303060237267960538907645024 % h = 0.001 TOP MAIN SOLVE Loop memory used=2281.2MB, alloc=4.6MB, time=225.68 NO POLE NO POLE x[1] = 0.676 y2[1] (analytic) = 1.6256777111000821409449623993491 y2[1] (numeric) = 1.6268541032259885894611958967884 absolute error = 0.0011763921259064485162334974393 relative error = 0.07236318231307939080913321455068 % h = 0.001 y1[1] (analytic) = 1.7800816635664256845582964350008 y1[1] (numeric) = 1.7799491233678896585263245667601 absolute error = 0.0001325401985360260319718682407 relative error = 0.0074457369708802772698495835966148 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2285.0MB, alloc=4.6MB, time=225.88 x[1] = 0.677 y2[1] (analytic) = 1.6264574797948054823984864907691 y2[1] (numeric) = 1.6276425988239576324383673114162 absolute error = 0.0011851190291521500398808206471 relative error = 0.07286504835660782994193439540185 % h = 0.001 y1[1] (analytic) = 1.7794555959188059359087739029204 y1[1] (numeric) = 1.7793218749689923993489664802649 absolute error = 0.0001337209498135365598074226555 relative error = 0.0075147112476549855573982089267431 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.678 y2[1] (analytic) = 1.6272366220321012338347709245244 y2[1] (numeric) = 1.6284305196792619845124460869624 absolute error = 0.001193897647160750677675162438 relative error = 0.073369639731301359444286670851943 % h = 0.001 y1[1] (analytic) = 1.7788287488156552230841435414996 y1[1] (numeric) = 1.7786938383618226458014575460084 absolute error = 0.0001349104538325772826859954912 relative error = 0.0075842294499906586312074191757878 % h = 0.001 TOP MAIN SOLVE Loop memory used=2288.8MB, alloc=4.6MB, time=226.08 NO POLE NO POLE x[1] = 0.679 y2[1] (analytic) = 1.6280151370328272228865818746926 y2[1] (numeric) = 1.6292178652422616222446982074808 absolute error = 0.0012027282094343993581163327882 relative error = 0.073876967239165639368307962587562 % h = 0.001 y1[1] (analytic) = 1.778201122883820596997861320718 y1[1] (numeric) = 1.7780650141213979912809253367015 absolute error = 0.0001361087624226057169359840165 relative error = 0.0076542951565495345462609339472238 % h = 0.001 TOP MAIN SOLVE Loop memory used=2292.6MB, alloc=4.6MB, time=226.28 NO POLE NO POLE x[1] = 0.68 y2[1] (analytic) = 1.6287930240184685137041781874202 y2[1] (numeric) = 1.6300046349646217456460413226058 absolute error = 0.0012116109461532319418631351856 relative error = 0.074387041710432433732642952873295 % h = 0.001 y1[1] (analytic) = 1.7775727187509279371823940840443 y1[1] (numeric) = 1.7774354028232850167444358097535 absolute error = 0.0001373159276429204379582742908 relative error = 0.0077249119653124601953976149755689 % h = 0.001 TOP MAIN SOLVE Loop memory used=2296.5MB, alloc=4.6MB, time=226.49 NO POLE NO POLE x[1] = 0.681 y2[1] (analytic) = 1.6295702822111381854701823544214 y2[1] (numeric) = 1.6307908282993145565564036810607 absolute error = 0.0012205460881763710862213266393 relative error = 0.074899874003607341885157014177073 % h = 0.001 y1[1] (analytic) = 1.7769435370453813241633923181245 y1[1] (numeric) = 1.7768050050435979845963015741271 absolute error = 0.0001385320017833395670907439974 relative error = 0.0077960834936648637681747129456475 % h = 0.001 TOP MAIN SOLVE Loop memory used=2300.3MB, alloc=4.6MB, time=226.68 NO POLE NO POLE x[1] = 0.682 y2[1] (analytic) = 1.6303469108335781102864365064475 y2[1] (numeric) = 1.6315764447006210363948653406385 absolute error = 0.001229533867042926108428834191 relative error = 0.075415475005517642684666441786062 % h = 0.001 y1[1] (analytic) = 1.776313578396362411055661994136 y1[1] (numeric) = 1.7761738213589975307973253415331 absolute error = 0.0001397570373648802583366526029 relative error = 0.0078678133784830644092693633488273 % h = 0.001 TOP MAIN SOLVE Loop memory used=2304.1MB, alloc=4.6MB, time=226.88 NO POLE NO POLE x[1] = 0.683 y2[1] (analytic) = 1.6311229091091597304320655399362 y2[1] (numeric) = 1.6323614836241327232797948850711 absolute error = 0.0012385745149729928477293451349 relative error = 0.075933855631360251811378272130403 % h = 0.001 y1[1] (analytic) = 1.7756828434338297943815638847851 y1[1] (numeric) = 1.7755418523466893551966081731215 absolute error = 0.0001409910871404391849557116636 relative error = 0.0079401052762209204136688693250218 % h = 0.001 TOP MAIN SOLVE Loop memory used=2307.9MB, alloc=4.6MB, time=227.09 NO POLE NO POLE x[1] = 0.684 y2[1] (analytic) = 1.631898276261884834991970118843 y2[1] (numeric) = 1.6331459445267534885181954545886 absolute error = 0.0012476682648686535262253357456 relative error = 0.076455026824749792516005652064259 % h = 0.001 y1[1] (analytic) = 1.7750513327885183841124695384931 y1[1] (numeric) = 1.7749090985844229100865529193069 absolute error = 0.0001422342040954740259166191862 relative error = 0.0080129628629968173016071631043005 % h = 0.001 TOP MAIN SOLVE Loop memory used=2311.7MB, alloc=4.6MB, time=227.29 NO POLE NO POLE x[1] = 0.685 y2[1] (analytic) = 1.6326730115163863358549729232243 y2[1] (numeric) = 1.6339298268667013124634744739047 absolute error = 0.0012568153503149766085015506804 relative error = 0.076978999557766780117821338440329 % h = 0.001 y1[1] (analytic) = 1.7744190470919387729339038692666 y1[1] (numeric) = 1.7742755606504900869816940362707 absolute error = 0.0001434864414486859522098329959 relative error = 0.0080863898346809971219371919579416 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.686 y2[1] (analytic) = 1.6334471140979290430808421464934 y2[1] (numeric) = 1.6347131301035100597408520388416 absolute error = 0.0012660160055810166600098923482 relative error = 0.077505784831005920562212444106479 % h = 0.001 y1[1] (analytic) = 1.7737859869763766047350050970526 y1[1] (numeric) = 1.77364123912372390162198574801 absolute error = 0.0001447478526527031130193490426 relative error = 0.0081603899069832303383869522586738 % h = 0.001 TOP MAIN SOLVE Loop memory used=2315.5MB, alloc=4.6MB, time=227.49 NO POLE NO POLE x[1] = 0.687 y2[1] (analytic) = 1.6342205832324104396354168743884 y2[1] (numeric) = 1.6354958536980312538396235008273 absolute error = 0.0012752704656208142042066264389 relative error = 0.078035393673624523348603999168711 % h = 0.001 y1[1] (analytic) = 1.7731521530748919423229335490696 y1[1] (numeric) = 1.7730061345834971772011813075538 absolute error = 0.0001460184913947651217522415158 relative error = 0.0082349668155408316589306230036507 % h = 0.001 TOP MAIN SOLVE Loop memory used=2319.3MB, alloc=4.6MB, time=227.69 NO POLE NO POLE x[1] = 0.688 y2[1] (analytic) = 1.6349934181463614554930596105924 y2[1] (numeric) = 1.6362779971124358510714923670622 absolute error = 0.0012845789660743955784327564698 relative error = 0.078567837143391029139927256351882 % h = 0.001 y1[1] (analytic) = 1.7725175460213186343628616076503 y1[1] (numeric) = 1.7723702476097212258209368951366 absolute error = 0.0001472984115974085419247125137 relative error = 0.0083101243160070211743158520333622 % h = 0.001 TOP MAIN SOLVE Loop memory used=2323.2MB, alloc=4.6MB, time=227.89 NO POLE NO POLE x[1] = 0.689 y2[1] (analytic) = 1.6357656180669472411056618466169 y2[1] (numeric) = 1.6370595598102160138941902132529 absolute error = 0.001293941743268772788528366636 relative error = 0.079103126326733652365120929342977 % h = 0.001 y1[1] (analytic) = 1.7718821664502636815441778645549 y1[1] (numeric) = 1.7717335787828445281712744747153 absolute error = 0.0001485876674191533729033898396 relative error = 0.008385866184139632177623851430078 % h = 0.001 TOP MAIN SOLVE Loop memory used=2327.0MB, alloc=4.6MB, time=228.09 NO POLE NO POLE x[1] = 0.69 y2[1] (analytic) = 1.6365371822219679402374292070087 y2[1] (numeric) = 1.6378405412561868835996008854547 absolute error = 0.001303359034218943362171678446 relative error = 0.079641272338789139126469705322688 % h = 0.001 y1[1] (analytic) = 1.7712460149971066019735393154978 y1[1] (numeric) = 1.7710961286838514114380387132256 absolute error = 0.0001498863132551905355006022722 relative error = 0.0084621962158901670426006897194375 % h = 0.001 TOP MAIN SOLVE Loop memory used=2330.8MB, alloc=4.6MB, time=228.29 NO POLE NO POLE x[1] = 0.691 y2[1] (analytic) = 1.6373081098398594621646733351585 y2[1] (numeric) = 1.6386209409164883523656068477427 absolute error = 0.0013128310766288902009335125842 relative error = 0.080182286323451640723904410192528 % h = 0.001 y1[1] (analytic) = 1.7706090922979987957954062017814 y1[1] (numeric) = 1.7704578978942607254379838494093 absolute error = 0.0001511944037380703574223523721 relative error = 0.0085391182274932025443861548775947 % h = 0.001 TOP MAIN SOLVE Loop memory used=2334.6MB, alloc=4.6MB, time=228.49 NO POLE NO POLE x[1] = 0.692 y2[1] (analytic) = 1.6380784001496942532398383199832 y2[1] (numeric) = 1.639400758258586834670876113149 absolute error = 0.0013223581088925814310377931658 relative error = 0.080726179453421703108712119749813 % h = 0.001 y1[1] (analytic) = 1.7699713989898629090406948784514 y1[1] (numeric) = 1.7698188869961245169821271808962 absolute error = 0.0001525119937383920585676975552 relative error = 0.0086166360555561460121809325749415 % h = 0.001 TOP MAIN SOLVE Loop memory used=2338.4MB, alloc=4.6MB, time=228.69 NO POLE NO POLE x[1] = 0.693 y2[1] (analytic) = 1.638848052381182067818990099522 y2[1] (numeric) = 1.6401799927512770380718087765539 absolute error = 0.0013319403700949702528186770319 relative error = 0.081272962930255372579432294699167 % h = 0.001 y1[1] (analytic) = 1.7693329357103921967041848602655 y1[1] (numeric) = 1.7691790965720267024680066194966 absolute error = 0.0001538391383654942361782407689 relative error = 0.0086947535571493437093337265514042 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2342.2MB, alloc=4.6MB, time=228.89 x[1] = 0.694 y2[1] (analytic) = 1.639617065764670738551997914018 y2[1] (numeric) = 1.6409586438646837333408627500045 absolute error = 0.0013415781000129947888648359865 relative error = 0.081822647984413418033046665550985 % h = 0.001 y1[1] (analytic) = 1.7686937030980498850513169680168 y1[1] (numeric) = 1.7685385272050817387014805453508 absolute error = 0.000155175892968146349836422666 relative error = 0.0087734746098965428422974730274498 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.695 y2[1] (analytic) = 1.6403854395311469460346375183712 y2[1] (numeric) = 1.6417367110702635239654788832533 absolute error = 0.0013512715391165779308413648821 relative error = 0.082375245875310670084906096816951 % h = 0.001 y1[1] (analytic) = 1.7680537017920685331550202683599 y1[1] (numeric) = 1.7678971794789332919487089706901 absolute error = 0.0001565223131352412063112976698 relative error = 0.008852803112065708605898098029971 % h = 0.001 TOP MAIN SOLVE Loop memory used=2346.0MB, alloc=4.6MB, time=229.09 NO POLE NO POLE x[1] = 0.696 y2[1] (analytic) = 1.641153172912236987821846501921 y2[1] (numeric) = 1.6425141938408066150068262351559 absolute error = 0.0013610209285696271849797332349 relative error = 0.08293076789136547737117701260121 % h = 0.001 y1[1] (analytic) = 1.7674129324324493936632062702603 y1[1] (numeric) = 1.7672550539777529052189558034898 absolute error = 0.0001578784546964884442504667705 relative error = 0.0089327429826601976783804668246031 % h = 0.001 TOP MAIN SOLVE Loop memory used=2349.9MB, alloc=4.6MB, time=229.29 NO POLE NO POLE x[1] = 0.697 y2[1] (analytic) = 1.6419202651402075468013627023692 y2[1] (numeric) = 1.6432910916504385813175888449486 absolute error = 0.0013708265102310345162261425794 relative error = 0.083489225350049280347933159907813 % h = 0.001 y1[1] (analytic) = 1.7667713956599617727975696105186 y1[1] (numeric) = 1.7666121512862386637788527802378 absolute error = 0.0001592443737231090187168302808 relative error = 0.0090132981615102895857444094880171 % h = 0.001 TOP MAIN SOLVE Loop memory used=2353.7MB, alloc=4.6MB, time=229.49 NO POLE NO POLE x[1] = 0.698 y2[1] (analytic) = 1.6426867154479664589269773402679 y2[1] (numeric) = 1.6440674039746221351180159363325 absolute error = 0.0013806885266556761910385960646 relative error = 0.084050629597936302901365515497654 % h = 0.001 y1[1] (analytic) = 1.7661290921161423895843352295162 y1[1] (numeric) = 1.7659684719896138588987664154006 absolute error = 0.0001606201265285306855688141156 relative error = 0.0090944726093650773609591087368863 % h = 0.001 TOP MAIN SOLVE Loop memory used=2357.5MB, alloc=4.6MB, time=229.69 NO POLE NO POLE x[1] = 0.699 y2[1] (analytic) = 1.643452523069063480310635140883 y2[1] (numeric) = 1.6448431302901588929294580717256 absolute error = 0.0013906072210954126188229308426 relative error = 0.084614992010753362083933999770743 % h = 0.001 y1[1] (analytic) = 1.765486022443294734317592806382 y1[1] (numeric) = 1.7653240166736256498319100929448 absolute error = 0.0001620057696690844856827134372 relative error = 0.0091762703079847189297468378521891 % h = 0.001 TOP MAIN SOLVE Loop memory used=2361.3MB, alloc=4.6MB, time=229.89 NO POLE NO POLE x[1] = 0.7 y2[1] (analytic) = 1.6442176872376910536726143513987 y2[1] (numeric) = 1.6456182700751911418646123590058 absolute error = 0.0014005828375000881919980076071 relative error = 0.085182323993429796291639340420494 % h = 0.001 y1[1] (analytic) = 1.7648421872844884262558599901919 y1[1] (numeric) = 1.7646787859245437240268442024606 absolute error = 0.0001634013599447022290157877313 relative error = 0.0092586952602330506607571719815591 % h = 0.001 TOP MAIN SOLVE Loop memory used=2365.1MB, alloc=4.6MB, time=230.09 NO POLE NO POLE x[1] = 0.701 y2[1] (analytic) = 1.6449822071886850741490202033442 y2[1] (numeric) = 1.6463928228092036052737003985517 absolute error = 0.0014106156205185311246801952075 relative error = 0.085752636980147512197951923184498 % h = 0.001 y1[1] (analytic) = 1.7641975872835585705525167305838 y1[1] (numeric) = 1.7640327803291589555740079990404 absolute error = 0.0001648069543996149785087315434 relative error = 0.0093417514901705645241104992034972 % h = 0.001 TOP MAIN SOLVE Loop memory used=2368.9MB, alloc=4.6MB, time=230.29 NO POLE NO POLE x[1] = 0.702 y2[1] (analytic) = 1.6457460821575256544558260128154 y2[1] (numeric) = 1.6471667879730252077458032443973 absolute error = 0.0014207058154995532899772315819 relative error = 0.086325942434391150760296769725059 % h = 0.001 y1[1] (analytic) = 1.7635522230851051144207537773021 y1[1] (numeric) = 1.7633860004747820618869276420835 absolute error = 0.0001662226103230525338261352186 relative error = 0.0094254430431477503084750640174286 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2372.7MB, alloc=4.6MB, time=230.48 x[1] = 0.703 y2[1] (analytic) = 1.6465093113803378894086967545133 y2[1] (numeric) = 1.6479401650488308394645782398463 absolute error = 0.001430853668492950055881485333 relative error = 0.086902251848998372615359887997898 % h = 0.001 y1[1] (analytic) = 1.7629060953344922025336791836665 y1[1] (numeric) = 1.7627384469492422586187456436324 absolute error = 0.0001676483852499439149335400341 relative error = 0.0095097739858988043530550201967122 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.704 y2[1] (analytic) = 1.6472718940938926197978305898392 y2[1] (numeric) = 1.6487129535201431199175831749431 absolute error = 0.0014410594262505001197525851039 relative error = 0.087481576746210263179851141489744 % h = 0.001 y1[1] (analytic) = 1.7622592046778475316602274138083 y1[1] (numeric) = 1.7620901203408859128147177316907 absolute error = 0.0001690843369616188455096821176 relative error = 0.0095947484066357062571081900449666 % h = 0.001 TOP MAIN SOLVE Loop memory used=2376.6MB, alloc=4.6MB, time=230.68 NO POLE NO POLE x[1] = 0.705 y2[1] (analytic) = 1.6480338295356071956170544742679 y2[1] (numeric) = 1.6494851528718341609584338007662 absolute error = 0.0014513233362269653413793264983 relative error = 0.088063928677721857773732474386862 % h = 0.001 y1[1] (analytic) = 1.7616115517620617045375164177085 y1[1] (numeric) = 1.7614410212385751943013239082324 absolute error = 0.0001705305234865102361925094761 relative error = 0.0096803704151426650358815584662433 % h = 0.001 TOP MAIN SOLVE Loop memory used=2380.4MB, alloc=4.6MB, time=230.88 NO POLE NO POLE x[1] = 0.706 y2[1] (analytic) = 1.6487951169435462386464106149696 y2[1] (numeric) = 1.6502567625901273292210213235989 absolute error = 0.0014616456465810905746107086293 relative error = 0.088649319224732787083297803852546 % h = 0.001 y1[1] (analytic) = 1.7609631372347875829802988016283 y1[1] (numeric) = 1.7607911502316867253126412552837 absolute error = 0.0001719870031008576676575463446 relative error = 0.0097666441428709361981501122489276 % h = 0.001 TOP MAIN SOLVE Loop memory used=2384.2MB, alloc=4.6MB, time=231.08 NO POLE NO POLE x[1] = 0.707 y2[1] (analytic) = 1.6495557555564224043874711961547 y2[1] (numeric) = 1.6510277821625990078850170906352 absolute error = 0.0014720266061766034975458944805 relative error = 0.089237759997998043281872142606792 % h = 0.001 y1[1] (analytic) = 1.7603139617444396402281539844266 y1[1] (numeric) = 1.7601405079101102283546268155403 absolute error = 0.0001734538343294118735271688863 relative error = 0.0098535737430340112268706052114291 % h = 0.001 TOP MAIN SOLVE Loop memory used=2388.0MB, alloc=4.6MB, time=231.28 NO POLE NO POLE x[1] = 0.708 y2[1] (analytic) = 1.6503157446135971433506194368912 y2[1] (numeric) = 1.6517982110781803577918922679983 absolute error = 0.0014824664645832144412728311071 relative error = 0.089829262637878867126282538075812 % h = 0.001 y1[1] (analytic) = 1.7596640259401933125310689925183 y1[1] (numeric) = 1.7594890948642471723079596464772 absolute error = 0.0001749310759461402231093460411 relative error = 0.0099411633907031809508163280070218 % h = 0.001 TOP MAIN SOLVE Loop memory used=2391.8MB, alloc=4.6MB, time=231.48 NO POLE NO POLE x[1] = 0.709 y2[1] (analytic) = 1.6510750833550814616935356941786 y2[1] (numeric) = 1.6525680488271590779106809014831 absolute error = 0.0014929654720776162171452073045 relative error = 0.090423838814393756347642203376627 % h = 0.001 y1[1] (analytic) = 1.7590133304719843499740563078382 y1[1] (numeric) = 1.7588369116850094167700919188132 absolute error = 0.000176418786974933203964389025 relative error = 0.01002941728290347430144212732239 % h = 0.001 TOP MAIN SOLVE Loop memory used=2395.6MB, alloc=4.6MB, time=231.68 NO POLE NO POLE x[1] = 0.71 y2[1] (analytic) = 1.6518337710215366812101279728528 y2[1] (numeric) = 1.6533372949011811651527153405781 absolute error = 0.0015035238796444839425873677253 relative error = 0.091021500227269595655381764451524 % h = 0.001 y1[1] (analytic) = 1.7583618759905081665414579441396 y1[1] (numeric) = 1.7581839589638178546371597015061 absolute error = 0.0001779170266903119042982426335 relative error = 0.010118339638709973955640893921456 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2399.4MB, alloc=4.6MB, time=231.88 x[1] = 0.711 y2[1] (analytic) = 1.6525918068542751986691468534576 y2[1] (numeric) = 1.6541059487932526735345635969796 absolute error = 0.001514141938977474865416743522 relative error = 0.091622258605992908673857850474641 % h = 0.001 y1[1] (analytic) = 1.7577096631472191894215856872678 y1[1] (numeric) = 1.7575302372926010529264048461783 absolute error = 0.0001794258546181364951808410895 relative error = 0.01020793469934451037149366353327 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.712 y2[1] (analytic) = 1.6533491900952612445017254995287 y2[1] (numeric) = 1.6548740099977414726883987999775 absolute error = 0.0015248199024802281866733004488 relative error = 0.092226125709861232131269306666201 % h = 0.001 y1[1] (analytic) = 1.7570566925943302075523481947161 y1[1] (numeric) = 1.7568757472637938918397601540077 absolute error = 0.0001809453305363157125880407084 relative error = 0.010298206728272735730585491640818 % h = 0.001 TOP MAIN SOLVE Loop memory used=2403.3MB, alloc=4.6MB, time=232.08 NO POLE NO POLE x[1] = 0.713 y2[1] (analytic) = 1.6541059199871116408370860568158 y2[1] (numeric) = 1.6556414780103790057190315027655 absolute error = 0.0015355580232673648819454459497 relative error = 0.092833113328034612621015103054719 % h = 0.001 y1[1] (analytic) = 1.7564029649848117194085164087805 y1[1] (numeric) = 1.7562204894703362020692507776578 absolute error = 0.0001824755144755173392656311227 relative error = 0.01038916001130157930695851535083 % h = 0.001 TOP MAIN SOLVE Loop memory used=2407.1MB, alloc=4.6MB, time=232.28 NO POLE NO POLE x[1] = 0.714 y2[1] (analytic) = 1.6548619957730965588856544087971 y2[1] (numeric) = 1.656408352328262046406836185912 absolute error = 0.0015463565551654875211817771149 relative error = 0.093443233279587226256035545540684 % h = 0.001 y1[1] (analytic) = 1.7557484809723912800312794959955 y1[1] (numeric) = 1.7555644645056714003448655797739 absolute error = 0.0001840164667198796864139162216 relative error = 0.010480798856677085789302246786968 % h = 0.001 TOP MAIN SOLVE Loop memory used=2410.9MB, alloc=4.6MB, time=232.48 NO POLE NO POLE x[1] = 0.715 y2[1] (analytic) = 1.655617416697140275668825905437 y2[1] (numeric) = 1.6571746324498544557558038969131 absolute error = 0.0015572157527141800869779914761 relative error = 0.094056497413559121537089659878293 % h = 0.001 y1[1] (analytic) = 1.7550932412115528473007442832391 y1[1] (numeric) = 1.7549076729637451232255529379269 absolute error = 0.0001855682478077240751913453122 relative error = 0.010573127595182638089539296999081 % h = 0.001 TOP MAIN SOLVE Loop memory used=2414.7MB, alloc=4.6MB, time=232.67 NO POLE NO POLE x[1] = 0.716 y2[1] (analytic) = 1.6563721820038219300946253354824 y2[1] (numeric) = 1.6579403178749889378859535579419 absolute error = 0.0015681358711670077913282224595 relative error = 0.094672917609008085756336611240526 % h = 0.001 y1[1] (analytic) = 1.7544372463575361274520319179542 y1[1] (numeric) = 1.7542501154390038591339962536526 absolute error = 0.0001871309185322683180356643016 relative error = 0.010666150580237566177552552657673 % h = 0.001 TOP MAIN SOLVE Loop memory used=2418.5MB, alloc=4.6MB, time=232.88 NO POLE NO POLE x[1] = 0.717 y2[1] (analytic) = 1.6571262909383762783785050667013 y2[1] (numeric) = 1.6587054081048687952693350676031 absolute error = 0.0015791171664925168908300009018 relative error = 0.095292505775061635258007735434258 % h = 0.001 y1[1] (analytic) = 1.7537804970663359198356262363344 y1[1] (numeric) = 1.753591792526393578635825190405 absolute error = 0.0001887045399423411998010459294 relative error = 0.010759872187996143488417465560028 % h = 0.001 TOP MAIN SOLVE Loop memory used=2422.3MB, alloc=4.6MB, time=233.08 NO POLE NO POLE x[1] = 0.718 y2[1] (analytic) = 1.6578797427466944488085259333295 y2[1] (numeric) = 1.6594699026420696833088579166961 absolute error = 0.0015901598953752345003319833666 relative error = 0.095915273850969129878378187969628 % h = 0.001 y1[1] (analytic) = 1.7531229939947014609226290790717 y1[1] (numeric) = 1.7529327048213583629639194318185 absolute error = 0.0001902891733430979587096472532 relative error = 0.010854296817446972455150714271437 % h = 0.001 TOP MAIN SOLVE Loop memory used=2426.2MB, alloc=4.6MB, time=233.28 NO POLE NO POLE x[1] = 0.719 y2[1] (analytic) = 1.6586325366753246958541661056053 y2[1] (numeric) = 1.660233800990541364259179632688 absolute error = 0.0016012643152166684050135270827 relative error = 0.096541233806154011887673359470622 % h = 0.001 y1[1] (analytic) = 1.7524647378001357675555785493558 y1[1] (numeric) = 1.7522728529198390307884625176585 absolute error = 0.0001918848802967367671160316973 relative error = 0.010949428890512760726664205103157 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2430.0MB, alloc=4.6MB, time=233.48 x[1] = 0.72 y2[1] (analytic) = 1.6593846719714731536180038326482 y2[1] (numeric) = 1.6609971026556094604888889627912 absolute error = 0.001612430684136306870885130143 relative error = 0.097170397640266169756975054306335 % h = 0.001 y1[1] (analytic) = 1.751805729140894979445486962252 y1[1] (numeric) = 1.7516122374182717632334040802247 absolute error = 0.0001934917226232162120828820273 relative error = 0.011045272852150489637321344972928 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.721 y2[1] (analytic) = 1.6601361478830045886295206070606 y2[1] (numeric) = 1.6617598071439772070832193012337 absolute error = 0.0016236592609726184536986941731 relative error = 0.09780277738323442707362598022747 % h = 0.001 y1[1] (analytic) = 1.7511459686759877009157559883658 y1[1] (numeric) = 1.7509508589135867271399895687664 absolute error = 0.0001951097624009737757664195994 relative error = 0.011141833170451976501230889929597 % h = 0.001 TOP MAIN SOLVE Loop memory used=2433.8MB, alloc=4.6MB, time=233.68 NO POLE NO POLE x[1] = 0.722 y2[1] (analytic) = 1.6608869636584431519802719575123 y2[1] (numeric) = 1.6625219139637272037865284624978 absolute error = 0.0016349503052840518062565049855 relative error = 0.098438385095319156929068344465789 % h = 0.001 y1[1] (analytic) = 1.750485457065174341893627247823 y1[1] (numeric) = 1.7502887180032066965780173136645 absolute error = 0.0001967390619676453156099341585 relative error = 0.01123911433674483231118260041977 % h = 0.001 TOP MAIN SOLVE Loop memory used=2437.6MB, alloc=4.6MB, time=233.87 NO POLE NO POLE x[1] = 0.723 y2[1] (analytic) = 1.6616371185469731307996737341996 y2[1] (numeric) = 1.6632834226243231662837814989865 absolute error = 0.0016463040773500354841077647869 relative error = 0.099077232867165022103493292054929 % h = 0.001 y1[1] (analytic) = 1.7498241949689664581498273630602 y1[1] (numeric) = 1.7496258152850456726054835457344 absolute error = 0.0001983796839207855443438173258 relative error = 0.011337120865693816428928568488154 % h = 0.001 TOP MAIN SOLVE Loop memory used=2441.4MB, alloc=4.6MB, time=234.07 NO POLE NO POLE x[1] = 0.724 y2[1] (analytic) = 1.6623866117984396990706524114553 y2[1] (numeric) = 1.6640443326366116768202738587529 absolute error = 0.0016577208381719777496214472976 relative error = 0.099719332819853841372122550196846 % h = 0.001 y1[1] (analytic) = 1.7491621830486260907870672307261 y1[1] (numeric) = 1.748962151357507501277276749007 absolute error = 0.0002000316911185895097904817191 relative error = 0.011435857295402589860344574152474 % h = 0.001 TOP MAIN SOLVE Loop memory used=2445.2MB, alloc=4.6MB, time=234.27 NO POLE NO POLE x[1] = 0.725 y2[1] (analytic) = 1.6631354426633496677844085919225 y2[1] (numeric) = 1.6648046435128239341588327765965 absolute error = 0.001669200849474266374424184674 relative error = 0.10036469710495758225839195387969 % h = 0.001 y1[1] (analytic) = 1.7484994219661651049780560241387 y1[1] (numeric) = 1.7482977268194844899035834877517 absolute error = 0.000201695146680615074472536387 relative error = 0.011535328187515868715867330376581 % h = 0.001 TOP MAIN SOLVE Loop memory used=2449.0MB, alloc=4.6MB, time=234.47 NO POLE NO POLE x[1] = 0.726 y2[1] (analytic) = 1.6638836103928722344335435575901 y2[1] (numeric) = 1.6655643547665775028737353899893 absolute error = 0.0016807443737052684401918323992 relative error = 0.10101333790459148055975851833525 % h = 0.001 y1[1] (analytic) = 1.7478359123843445279536911882302 y1[1] (numeric) = 1.7476325422703560215586686103119 absolute error = 0.0002033701139885063950225779183 relative error = 0.011635538127321979463496141778586 % h = 0.001 TOP MAIN SOLVE Loop memory used=2452.9MB, alloc=4.6MB, time=234.67 NO POLE NO POLE x[1] = 0.727 y2[1] (analytic) = 1.6646311142388397318427993746266 y2[1] (numeric) = 1.6663234659128780619805826699411 absolute error = 0.0016923516740383301377832953145 relative error = 0.10166526743146728697230838848885 % h = 0.001 y1[1] (analytic) = 1.7471716549666738862420864387327 y1[1] (numeric) = 1.7469665983099871678406934935322 absolute error = 0.0002050566566867184013929452005 relative error = 0.011736491723855817588571484730203 % h = 0.001 TOP MAIN SOLVE Loop memory used=2456.7MB, alloc=4.6MB, time=234.87 NO POLE NO POLE x[1] = 0.728 y2[1] (analytic) = 1.6653779534537483763366637213347 y2[1] (numeric) = 1.6670819764681211529013688560516 absolute error = 0.0017040230143727765647051347169 relative error = 0.1023204979289466411408023307008 % h = 0.001 y1[1] (analytic) = 1.7465066503774105421591005265237 y1[1] (numeric) = 1.7462998955387272998832367521693 absolute error = 0.0002067548386832422758637743544 relative error = 0.011838193610002211281498470917709 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2460.5MB, alloc=4.6MB, time=235.06 x[1] = 0.729 y2[1] (analytic) = 1.666124127290759015243091271684 y2[1] (numeric) = 1.6678398859500939267639866846168 absolute error = 0.0017157586593349115208954129328 relative error = 0.10297904167109457346125843295704 % h = 0.001 y1[1] (analytic) = 1.7458408992815590295510302765453 y1[1] (numeric) = 1.7456324345574086976191825976865 absolute error = 0.0002084647241503319318476788588 relative error = 0.011940648442599691781570237811702 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.73 y2[1] (analytic) = 1.6668696350036978737325941307615 y2[1] (numeric) = 1.6685971938779768910354092987652 absolute error = 0.0017275588742790173028151680037 relative error = 0.10364091096273313496363834261456 % h = 0.001 y1[1] (analytic) = 1.7451744023448703887901321585503 y1[1] (numeric) = 1.7449642159673451572976427902449 absolute error = 0.0002101863775252314924893683054 relative error = 0.01204386090254467201206517439147 % h = 0.001 TOP MAIN SOLVE Loop memory used=2464.3MB, alloc=4.6MB, time=235.26 NO POLE NO POLE x[1] = 0.731 y2[1] (analytic) = 1.6676144758470573009919544831147 y2[1] (numeric) = 1.6693538997723456554877903301904 absolute error = 0.0017394239252883544958358470757 relative error = 0.10430611813949515560267369123032 % h = 0.001 y1[1] (analytic) = 1.7445071602338415010236373940972 y1[1] (numeric) = 1.7442952403703305972545788865145 absolute error = 0.0002119198635109037690585075827 relative error = 0.012147835694896035148842695602406 % h = 0.001 TOP MAIN SOLVE Loop memory used=2468.1MB, alloc=4.6MB, time=235.46 NO POLE NO POLE x[1] = 0.732 y2[1] (analytic) = 1.6683586490759965157318132803332 y2[1] (numeric) = 1.6701100031551726774967242431191 absolute error = 0.0017513540791761617649109627859 relative error = 0.10497467556787813128534333086816 % h = 0.001 y1[1] (analytic) = 1.7438391736157144216769263507235 y1[1] (numeric) = 1.7436255083686376619377922441387 absolute error = 0.0002136652470767597391341065848 relative error = 0.012252577548980134771745182634067 % h = 0.001 TOP MAIN SOLVE Loop memory used=2471.9MB, alloc=4.6MB, time=235.66 NO POLE NO POLE x[1] = 0.733 y2[1] (analytic) = 1.6691021539463423510273894603448 y2[1] (numeric) = 1.6708655035498290066709096327066 absolute error = 0.0017633496034866556435201723618 relative error = 0.10564659564529823996398963031853 % h = 0.001 y1[1] (analytic) = 1.7431704431584757132115287200688 y1[1] (numeric) = 1.7429550205650163241869500012933 absolute error = 0.0002154225934593890245787187755 relative error = 0.012358091218496208255228866877371 % h = 0.001 TOP MAIN SOLVE Loop memory used=2475.7MB, alloc=4.6MB, time=235.86 NO POLE NO POLE x[1] = 0.734 y2[1] (analytic) = 1.6698449897145899984915848577685 y2[1] (numeric) = 1.6716204004810860288124587720869 absolute error = 0.0017754107664960303208739143184 relative error = 0.10632189080014448712454335054408 % h = 0.001 y1[1] (analytic) = 1.7425009695308557771386167218896 y1[1] (numeric) = 1.7422837775626924857693160067892 absolute error = 0.0002171919681632913693007151004 relative error = 0.012464381481622205061794012379745 % h = 0.001 TOP MAIN SOLVE Loop memory used=2479.6MB, alloc=4.6MB, time=236.06 NO POLE NO POLE x[1] = 0.735 y2[1] (analytic) = 1.6705871556379037517797306322801 y2[1] (numeric) = 1.6723746934751172092070973048142 absolute error = 0.0017875378372134574273666725341 relative error = 0.10700057349183298099981153161781 % h = 0.001 y1[1] (analytic) = 1.7418307534023281852886593204188 y1[1] (numeric) = 1.741611779965366576171856432572 absolute error = 0.0002189734369616091168028878468 relative error = 0.012571453141121031608964906159884 % h = 0.001 TOP MAIN SOLVE Loop memory used=2483.4MB, alloc=4.6MB, time=236.25 NO POLE NO POLE x[1] = 0.736 y2[1] (analytic) = 1.671328650974117749425231710308 y2[1] (numeric) = 1.6731283820594998352434985824202 absolute error = 0.0017997310853820858182668721122 relative error = 0.10768265621086133783827137492246 % h = 0.001 y1[1] (analytic) = 1.7411597954431090103379061833593 y1[1] (numeric) = 1.7409390283772121496503905562734 absolute error = 0.0002207670658968606875156270859 relative error = 0.012679311024447214387783058148018 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2487.2MB, alloc=4.6MB, time=236.45 x[1] = 0.737 y2[1] (analytic) = 1.672069474981736717005366404475 y2[1] (numeric) = 1.673881465763216758360997750276 absolute error = 0.001811990781480041355631345801 relative error = 0.10836815147886321755930529156244 % h = 0.001 y1[1] (analytic) = 1.7404880963241561555923708569716 y1[1] (numeric) = 1.7402655234028744805364579566675 absolute error = 0.0002225729212816750559129003041 relative error = 0.012787959983853983018022805471051 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.738 y2[1] (analytic) = 1.6728096269199367086364990450493 y2[1] (numeric) = 1.6746339441166581353249312888836 absolute error = 0.0018243171967214266884322438343 relative error = 0.10905707184866299012630810626637 % h = 0.001 y1[1] (analytic) = 1.7398156567171686840299833732174 y1[1] (numeric) = 1.7395912656474691568025741194816 absolute error = 0.0002243910696995272274092537358 relative error = 0.01289740489650077493261737202809 % h = 0.001 TOP MAIN SOLVE Loop memory used=2491.0MB, alloc=4.6MB, time=236.64 NO POLE NO POLE x[1] = 0.739 y2[1] (analytic) = 1.6735491060485658477979641282533 y2[1] (numeric) = 1.6753858166516231688288483221305 absolute error = 0.0018367106030573210308841938772 relative error = 0.10974942990433053296959685284458 % h = 0.001 y1[1] (analytic) = 1.7391424772945861466015832467493 y1[1] (numeric) = 1.7389162557165806718865472049997 absolute error = 0.0002262215780054747150360417496 relative error = 0.013007650664561163391095517665269 % h = 0.001 TOP MAIN SOLVE Loop memory used=2494.8MB, alloc=4.6MB, time=236.84 NO POLE NO POLE x[1] = 0.74 y2[1] (analytic) = 1.6742879116281450674838811576082 y2[1] (numeric) = 1.6761370829013218474228406089228 absolute error = 0.0018491712731767799389594513146 relative error = 0.1104452382612361597915566689072 % h = 0.001 y1[1] (analytic) = 1.7384685587295879097914245606988 y1[1] (numeric) = 1.7382404942162610147755294822844 absolute error = 0.0002280645133268950158950784144 relative error = 0.013118702215331210529174386523402 % h = 0.001 TOP MAIN SOLVE Loop memory used=2498.6MB, alloc=4.6MB, time=237.04 NO POLE NO POLE x[1] = 0.741 y2[1] (analytic) = 1.6750260429198688496821600265609 y2[1] (numeric) = 1.6768877424003766847672387399607 absolute error = 0.0018616994805078350850787133998 relative error = 0.11114450956610568108696299069747 % h = 0.001 y1[1] (analytic) = 1.7377939016960924824378655807009 y1[1] (numeric) = 1.7375639817530282583504776876232 absolute error = 0.0002299199430642240873878930777 relative error = 0.013230564501338247159033196638639 % h = 0.001 TOP MAIN SOLVE Loop memory used=2502.4MB, alloc=4.6MB, time=237.24 NO POLE NO POLE x[1] = 0.742 y2[1] (analytic) = 1.6757634991856059641799574634498 y2[1] (numeric) = 1.6776377946848244582109226672393 absolute error = 0.0018742954992184940309652037895 relative error = 0.11184725649707559671193056047605 % h = 0.001 y1[1] (analytic) = 1.7371185068687568418149160764094 y1[1] (numeric) = 1.7368867189338651459916973169812 absolute error = 0.0002317879348916958232187594282 relative error = 0.013343242500450081042205169225532 % h = 0.001 TOP MAIN SOLVE Loop memory used=2506.3MB, alloc=4.6MB, time=237.44 NO POLE NO POLE x[1] = 0.743 y2[1] (analytic) = 1.676500279687900206694845733414 y2[1] (numeric) = 1.6783872392921179466934953001419 absolute error = 0.0018869596042177399986495667279 relative error = 0.11255349176374842083545368573853 % h = 0.001 y1[1] (analytic) = 1.7364423749229757589753162689006 y1[1] (numeric) = 1.7362087063662176764461466138102 absolute error = 0.0002336685567580825291696550904 relative error = 0.013456741215984635364471743687008 % h = 0.001 TOP MAIN SOLVE Loop memory used=2510.1MB, alloc=4.6MB, time=237.64 NO POLE NO POLE x[1] = 0.744 y2[1] (analytic) = 1.6772363836899711363309554661397 y2[1] (numeric) = 1.6791360757611276679705685087442 absolute error = 0.0018996920711565316396130426045 relative error = 0.11326322810724813960801972853223 % h = 0.001 y1[1] (analytic) = 1.7357655065348811233558220608284 y1[1] (numeric) = 1.7355299446579936869571767645291 absolute error = 0.0002355618768874363986452962993 relative error = 0.013571065676820019149623830848039 % h = 0.001 TOP MAIN SOLVE Loop memory used=2513.9MB, alloc=4.6MB, time=237.84 NO POLE NO POLE x[1] = 0.745 y2[1] (analytic) = 1.6779718104557148123593551533613 y2[1] (numeric) = 1.6798843036321436151614114821609 absolute error = 0.0019124931764288028020563287996 relative error = 0.11397647830027580188229895144537 % h = 0.001 y1[1] (analytic) = 1.7350879023813412666453719439904 y1[1] (numeric) = 1.7348504344175614346573855643439 absolute error = 0.0002374679637798319879863796465 relative error = 0.013686220937505031356469792329193 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2517.7MB, alloc=4.6MB, time=238.04 x[1] = 0.746 y2[1] (analytic) = 1.6787065592497045303219305358001 y2[1] (numeric) = 1.6806319224468769926182119974436 absolute error = 0.0019253631971724622962814616435 relative error = 0.11469325514716524332143860132014 % h = 0.001 y1[1] (analytic) = 1.7344095631399602859168117160826 y1[1] (numeric) = 1.7341701762537481762252625658261 absolute error = 0.0002393868862121096915491502565 relative error = 0.013802212078370100411019167287472 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.747 y2[1] (analytic) = 1.6794406293371915574580277757215 y2[1] (numeric) = 1.6813789317484619511162017626774 absolute error = 0.0019383024112703936581739869559 relative error = 0.11541357148393894423101746995841 % h = 0.001 y1[1] (analytic) = 1.733730489489077366022853874859 y1[1] (numeric) = 1.7334891707758387458063044718071 absolute error = 0.0002413187132386202165494030519 relative error = 0.013919044205638660933355070309613 % h = 0.001 TOP MAIN SOLVE Loop memory used=2521.5MB, alloc=4.6MB, time=238.23 NO POLE NO POLE x[1] = 0.748 y2[1] (analytic) = 1.6801740199841058674531249885306 y2[1] (numeric) = 1.6821253310814573223638976065197 absolute error = 0.0019513110973514549107726179891 relative error = 0.11613744017836402145124912962323 % h = 0.001 y1[1] (analytic) = 1.7330506821077661012569492936833 y1[1] (numeric) = 1.7328074185935741311992802826795 absolute error = 0.0002432635141919700576690110038 relative error = 0.014036722451538969426326828147439 % h = 0.001 TOP MAIN SOLVE Loop memory used=2525.3MB, alloc=4.6MB, time=238.43 NO POLE NO POLE x[1] = 0.749 y2[1] (analytic) = 1.6809067304570568745087973847929 y2[1] (numeric) = 1.6828711199918483528327108954825 absolute error = 0.0019643895347914783239135106896 relative error = 0.11686487413000835464655759838612 % h = 0.001 y1[1] (analytic) = 1.7323701416758338162797495175416 y1[1] (numeric) = 1.7321249203171500483083264561189 absolute error = 0.0002452213586837679714230614227 relative error = 0.014155251974416360700847980001169 % h = 0.001 TOP MAIN SOLVE Loop memory used=2529.2MB, alloc=4.6MB, time=238.63 NO POLE NO POLE x[1] = 0.75 y2[1] (analytic) = 1.6816387600233341667332419527799 y2[1] (numeric) = 1.6836162980270484369051781697705 absolute error = 0.0019775380037142701719362169906 relative error = 0.11759588627029684733018834215465 % h = 0.001 y1[1] (analytic) = 1.7316888688738208863118387530001 y1[1] (numeric) = 1.7314416765572155138615530845538 absolute error = 0.0002471923166053724502856684463 relative error = 0.014274637958845946820273410997861 % h = 0.001 TOP MAIN SOLVE Loop memory used=2533.0MB, alloc=4.6MB, time=238.84 NO POLE NO POLE x[1] = 0.751 y2[1] (analytic) = 1.6823701079509082388516282910726 y2[1] (numeric) = 1.6843608647359008493410665984573 absolute error = 0.0019907567849926104894383073847 relative error = 0.11833048956256782296206026595413 % h = 0.001 y1[1] (analytic) = 1.7310068643830000565934153593164 y1[1] (numeric) = 1.730757687924871416396842842415 absolute error = 0.0002491764581286401965725169014 relative error = 0.014394885615745760354053294627865 % h = 0.001 TOP MAIN SOLVE Loop memory used=2536.8MB, alloc=4.6MB, time=239.04 NO POLE NO POLE x[1] = 0.752 y2[1] (analytic) = 1.6831007735084312242355428809353 y2[1] (numeric) = 1.6851048196686804770606084652022 absolute error = 0.0020040461602492528250655842669 relative error = 0.1190686970021295564586106822328 % h = 0.001 y1[1] (analytic) = 1.7303241288853757611116033809685 y1[1] (numeric) = 1.7300729550316690855155252012918 absolute error = 0.0002511738537066755960781796767 relative error = 0.014516000182490343738620863760366 % h = 0.001 TOP MAIN SOLVE Loop memory used=2540.6MB, alloc=4.6MB, time=239.24 NO POLE NO POLE x[1] = 0.753 y2[1] (analytic) = 1.6838307559652376262507947690758 y2[1] (numeric) = 1.6858481623770955502441195065875 absolute error = 0.0020174064118579239933247375117 relative error = 0.1198105216163169414539351679889 % h = 0.001 y1[1] (analytic) = 1.729640663063683440596075394231 y1[1] (numeric) = 1.7293874784896088594046091566026 absolute error = 0.0002531845740745811914662376284 relative error = 0.014637986923024786551265987090903 % h = 0.001 TOP MAIN SOLVE Loop memory used=2544.4MB, alloc=4.6MB, time=239.43 NO POLE NO POLE x[1] = 0.754 y2[1] (analytic) = 1.6845600545913450489228513130465 y2[1] (numeric) = 1.6865908924142893727472565364792 absolute error = 0.0020308378229443238244052234327 relative error = 0.12055597646454829365207773179577 % h = 0.001 y1[1] (analytic) = 1.7289564676013888597836686721214 y1[1] (numeric) = 1.7287012589111386506282584542629 absolute error = 0.0002552086902502091554102178585 relative error = 0.014760851127979212510577276240756 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2548.2MB, alloc=4.6MB, time=239.62 x[1] = 0.755 y2[1] (analytic) = 1.6852886686574549269191733239135 y2[1] (numeric) = 1.6873330093348420518311704015926 absolute error = 0.0020443406773871249119970776791 relative error = 0.1213050746383822906108838047523 % h = 0.001 y1[1] (analytic) = 1.7282715431826874239526774030409 y1[1] (numeric) = 1.7280142969091525101891940500927 absolute error = 0.0002572462735349137634833529482 relative error = 0.014884598114783718024902166021704 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.756 y2[1] (analytic) = 1.6860165974349532548477196239165 y2[1] (numeric) = 1.6880745126947722272068109256661 absolute error = 0.0020579152598189723590913017496 relative error = 0.12205782926157504829838924380394 % h = 0.001 y1[1] (analytic) = 1.7275858904925034947275044287623 y1[1] (numeric) = 1.727326593096989189860709278354 absolute error = 0.0002592973955143048667951504083 relative error = 0.015009233227783764118177276546167 % h = 0.001 TOP MAIN SOLVE Loop memory used=2552.0MB, alloc=4.6MB, time=239.83 NO POLE NO POLE x[1] = 0.757 y2[1] (analytic) = 1.686743840195911315870891720679 y2[1] (numeric) = 1.688815402051538799392641112319 absolute error = 0.00207156185562748352174939164 relative error = 0.12281425349013733476328278908669 % h = 0.001 y1[1] (analytic) = 1.7268995102164897051543566970552 y1[1] (numeric) = 1.7266381480884307027899839488462 absolute error = 0.000261362128059002364372748209 relative error = 0.015134761838356023570420560154181 % h = 0.001 TOP MAIN SOLVE Loop memory used=2555.9MB, alloc=4.6MB, time=240.03 NO POLE NO POLE x[1] = 0.758 y2[1] (analytic) = 1.6874703962130864096341899840818 y2[1] (numeric) = 1.6895556769640426573850184897838 absolute error = 0.002085280750956247750828505702 relative error = 0.12357436051239192126154724789109 % h = 0.001 y1[1] (analytic) = 1.7262124030410262740486693531968 y1[1] (numeric) = 1.7259489624977008823733843344106 absolute error = 0.0002634405433253916752850187862 relative error = 0.015261189345024685118152440442836 % h = 0.001 TOP MAIN SOLVE Loop memory used=2559.7MB, alloc=4.6MB, time=240.23 NO POLE NO POLE x[1] = 0.759 y2[1] (analytic) = 1.6881962647599225795088533972068 y2[1] (numeric) = 1.6902953369926284056405020942651 absolute error = 0.0020990722327058261316486970583 relative error = 0.12433816354903107118195608347934 % h = 0.001 y1[1] (analytic) = 1.725524569653220319614944122886 y1[1] (numeric) = 1.725259036939463939404436752504 absolute error = 0.000265532713756380210507370382 relative error = 0.015388521173578216568025546639658 % h = 0.001 TOP MAIN SOLVE Loop memory used=2563.5MB, alloc=4.6MB, time=240.43 NO POLE NO POLE x[1] = 0.76 y2[1] (analytic) = 1.6889214451105513391477556387697 y2[1] (numeric) = 1.6910343816990860903693442026796 absolute error = 0.0021129365885347512215885639099 relative error = 0.12510567585317416711367706647006 % h = 0.001 y1[1] (analytic) = 1.724836010740905172339688366667 y1[1] (numeric) = 1.7245683720288230174951631856992 absolute error = 0.0002676387120821548445251809678 relative error = 0.015516762777186588684991917469598 % h = 0.001 TOP MAIN SOLVE Loop memory used=2567.3MB, alloc=4.6MB, time=240.63 NO POLE NO POLE x[1] = 0.761 y2[1] (analytic) = 1.6896459365397923983538309412086 y2[1] (numeric) = 1.6917728106466529251394265399753 absolute error = 0.0021268741068605267855955987667 relative error = 0.12587691071042547639981319694113 % h = 0.001 y1[1] (analytic) = 1.7241467269926396871581419128634 y1[1] (numeric) = 1.7238769683813187467714681265518 absolute error = 0.0002697586113209403866737863116 relative error = 0.015645919636518961724422878128342 % h = 0.001 TOP MAIN SOLVE Loop memory used=2571.1MB, alloc=4.6MB, time=240.83 NO POLE NO POLE x[1] = 0.762 y2[1] (analytic) = 1.6903697383231543882603038560603 y2[1] (numeric) = 1.6925106234000150157899013011115 absolute error = 0.0021408850768606275295974450512 relative error = 0.12665188143893205552129322622113 % h = 0.001 y1[1] (analytic) = 1.7234567190977075548954795022417 y1[1] (numeric) = 1.7231848266129277958432665722393 absolute error = 0.0002718924847797590522129300024 relative error = 0.015775997259861836485720367919146 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2574.9MB, alloc=4.6MB, time=241.03 x[1] = 0.763 y2[1] (analytic) = 1.6910928497368355858219977464571 y2[1] (numeric) = 1.6932478195253090846537979431039 absolute error = 0.0021549697884734988318001966468 relative error = 0.12743060138944179365610979569352 % h = 0.001 y1[1] (analytic) = 1.7227659877461166129831774031417 y1[1] (numeric) = 1.7224919473400614220500438337322 absolute error = 0.0002740404060551909331335694095 relative error = 0.015907001183237671773119499126009 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.764 y2[1] (analytic) = 1.6918152700577246376169975154955 y2[1] (numeric) = 1.693984398590124194088857318296 absolute error = 0.0021691285323995564718598028005 relative error = 0.12821308394536159575949246506845 % h = 0.001 y1[1] (analytic) = 1.722074533628598155451233480652 y1[1] (numeric) = 1.7217983311795640199825385629916 absolute error = 0.0002762024490341354686949176604 relative error = 0.016038936970523970157580748370838 % h = 0.001 TOP MAIN SOLVE Loop memory used=2578.7MB, alloc=4.6MB, time=241.23 NO POLE NO POLE x[1] = 0.765 y2[1] (analytic) = 1.6925369985634012829579427688738 y2[1] (numeric) = 1.6947203601635034693158553362141 absolute error = 0.0021833616001021863579125673403 relative error = 0.12899934252281570551119572272774 % h = 0.001 y1[1] (analytic) = 1.7213823574366062421969307275509 y1[1] (numeric) = 1.7211039787487116682812411398116 absolute error = 0.0002783786878945739156895877393 relative error = 0.016171810213572833941906606376447 % h = 0.001 TOP MAIN SOLVE Loop memory used=2582.6MB, alloc=4.6MB, time=241.42 NO POLE NO POLE x[1] = 0.766 y2[1] (analytic) = 1.6932580345321370763122283005656 y2[1] (numeric) = 1.6954557038159458205636789579881 absolute error = 0.0021976692838087442514506574225 relative error = 0.12978939057070416847667845403323 % h = 0.001 y1[1] (analytic) = 1.7206894598623170075308349881932 y1[1] (numeric) = 1.7204088906652106747124002974254 absolute error = 0.0002805691971063328184346907678 relative error = 0.016305626532330993239491931407602 % h = 0.001 TOP MAIN SOLVE Loop memory used=2586.4MB, alloc=4.6MB, time=241.63 NO POLE NO POLE x[1] = 0.767 y2[1] (analytic) = 1.6939783772428961090303894813906 y2[1] (numeric) = 1.6961904291194076645204179443832 absolute error = 0.0022120518765115554900284629926 relative error = 0.13058324157076143582955128909542 % h = 0.001 y1[1] (analytic) = 1.7199958415986279680007183292872 y1[1] (numeric) = 1.7197130675471961195222316028847 absolute error = 0.0002827740514318484784867264025 relative error = 0.016440391574960308085429854086144 % h = 0.001 TOP MAIN SOLVE Loop memory used=2590.2MB, alloc=4.6MB, time=241.84 NO POLE NO POLE x[1] = 0.768 y2[1] (analytic) = 1.6946980259753357303819508221551 y2[1] (numeric) = 1.6969245356473046450897363959765 absolute error = 0.0022265096719689147077855738214 relative error = 0.13138090903761510898327175789231 % h = 0.001 y1[1] (analytic) = 1.7193015033391573294941002335805 y1[1] (numeric) = 1.7190165100132303970700221444905 absolute error = 0.00028499332592693242407808909 relative error = 0.016576111017958746507046058911433 % h = 0.001 TOP MAIN SOLVE Loop memory used=2594.0MB, alloc=4.6MB, time=242.03 NO POLE NO POLE x[1] = 0.769 y2[1] (analytic) = 1.6954169800098072678980166755753 y2[1] (numeric) = 1.6976580229745133534517887419348 absolute error = 0.0022410429647060855537720663595 relative error = 0.13218240651884482548067424625141 % h = 0.001 y1[1] (analytic) = 1.7186064457782432936200995138551 y1[1] (numeric) = 1.7183192186823017557408265142067 absolute error = 0.0002872270959415378792729996484 relative error = 0.016712790566281840489323812134415 % h = 0.001 TOP MAIN SOLVE Loop memory used=2597.8MB, alloc=4.6MB, time=242.23 NO POLE NO POLE x[1] = 0.77 y2[1] (analytic) = 1.6961352386273567470198837344522 y2[1] (numeric) = 1.6983908906773730474279454521968 absolute error = 0.0022556520500163004080617177446 relative error = 0.13298774759504128649053237026022 % h = 0.001 y1[1] (analytic) = 1.7179106696109433633712905653243 y1[1] (numeric) = 1.7176211941738228361384499080217 absolute error = 0.0002894754371205272328406573026 relative error = 0.01685043595346462177911041009876 % h = 0.001 TOP MAIN SOLVE Loop memory used=2601.6MB, alloc=4.6MB, time=242.43 NO POLE NO POLE x[1] = 0.771 y2[1] (analytic) = 1.696852801109725610052955677546 y2[1] (numeric) = 1.6991231383336873701485943666394 absolute error = 0.0022703372239617600956386890934 relative error = 0.13379694587986542626096556786893 % h = 0.001 y1[1] (analytic) = 1.7172141755330336480662582945144 y1[1] (numeric) = 1.7169224371076292075594149016397 absolute error = 0.0002917384254044405068433928747 relative error = 0.016989052941744039480462980076517 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2605.4MB, alloc=4.6MB, time=242.63 x[1] = 0.772 y2[1] (analytic) = 1.6975696667393514344252410092942 y2[1] (numeric) = 1.6998547655227260680232841540081 absolute error = 0.0022850987833746335980431447139 relative error = 0.13461001502010772388011944380284 % h = 0.001 y1[1] (analytic) = 1.7165169642410081675735467820204 y1[1] (numeric) = 1.7162229481039779027486091926798 absolute error = 0.0002940161370302648249375893406 relative error = 0.017128647322181861401997973292885 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.773 y2[1] (analytic) = 1.6982858347993686502497158349369 y2[1] (numeric) = 1.7005857718252267080124770330143 absolute error = 0.0022999370258580577627611980774 relative error = 0.13542696869574765769517069604593 % h = 0.001 y1[1] (analytic) = 1.7158190364320781558176974551284 y1[1] (numeric) = 1.7155227277835459509373123337387 absolute error = 0.0002963086485322048803851213897 relative error = 0.017269224914788061125654442289296 % h = 0.001 TOP MAIN SOLVE Loop memory used=2609.3MB, alloc=4.6MB, time=242.83 NO POLE NO POLE x[1] = 0.774 y2[1] (analytic) = 1.6990013045736092571898340087447 y2[1] (numeric) = 1.7013161568233963942001785080499 absolute error = 0.0023148522497871370103444993052 relative error = 0.13624782062001330274133229896179 % h = 0.001 y1[1] (analytic) = 1.7151203928041713635680732642085 y1[1] (numeric) = 1.7148217767674289091643002132299 absolute error = 0.0002986160367424544037730509786 relative error = 0.017410791568644692774866489961053 % h = 0.001 TOP MAIN SOLVE Loop memory used=2613.1MB, alloc=4.6MB, time=243.03 NO POLE NO POLE x[1] = 0.775 y2[1] (analytic) = 1.6997160753466035406274677899009 y2[1] (numeric) = 1.7020459201009134836667124924354 absolute error = 0.0023298447543099430392447025345 relative error = 0.13707258453944107153316301768708 % h = 0.001 y1[1] (analytic) = 1.7144210340559313605111660739955 y1[1] (numeric) = 1.7141200956771393918807267728509 absolute error = 0.0003009383787919686304393011446 relative error = 0.017553353162030255468765313392202 % h = 0.001 TOP MAIN SOLVE Loop memory used=2616.9MB, alloc=4.6MB, time=243.23 NO POLE NO POLE x[1] = 0.776 y2[1] (analytic) = 1.7004301464035807871325628381541 y2[1] (numeric) = 1.7027750612429293016609108130052 absolute error = 0.0023449148393485145283479748511 relative error = 0.13790127423393559857111728118812 % h = 0.001 y1[1] (analytic) = 1.7137209608867168366070851973929 y1[1] (numeric) = 1.7134176851346055988394831818447 absolute error = 0.0003032757521112377676020155482 relative error = 0.017696915602544549457696241793069 % h = 0.001 TOP MAIN SOLVE Loop memory used=2620.7MB, alloc=4.6MB, time=243.42 NO POLE NO POLE x[1] = 0.777 y2[1] (analytic) = 1.7011435170304699992337920796493 y2[1] (numeric) = 1.7035035798360698560709867111354 absolute error = 0.0023600628055998568371946314861 relative error = 0.13873390351682976891690694503988 % h = 0.001 y1[1] (analytic) = 1.7130201739966009027309257152522 y1[1] (numeric) = 1.7127145457621698412697354189191 absolute error = 0.0003056282344310614611902963331 relative error = 0.017841484827234025944041284113103 % h = 0.001 TOP MAIN SOLVE Loop memory used=2624.5MB, alloc=4.6MB, time=243.62 NO POLE NO POLE x[1] = 0.778 y2[1] (analytic) = 1.7018561865139006094894936723398 y2[1] (numeric) = 1.704231475468437551193362577043 absolute error = 0.0023752889545369417038689047032 relative error = 0.13957048623494489119188553091857 % h = 0.001 y1[1] (analytic) = 1.7123186740863703905997159407019 y1[1] (numeric) = 1.7120106781825870663373419427608 absolute error = 0.0003079959037833242623739979411 relative error = 0.0179870668027176326010831605486 % h = 0.001 TOP MAIN SOLVE Loop memory used=2628.3MB, alloc=4.6MB, time=243.82 NO POLE NO POLE x[1] = 0.779 y2[1] (analytic) = 1.7025681541412031938581790001042 y2[1] (numeric) = 1.7049587477296129007987227763173 absolute error = 0.0023905935884097069405437762131 relative error = 0.14041103626865101535330813513548 % h = 0.001 y1[1] (analytic) = 1.71161646185752515198564410102 y1[1] (numeric) = 1.7113060830190233798918538615332 absolute error = 0.0003103788385017720937902394868 relative error = 0.018133667525313156811432795128281 % h = 0.001 TOP MAIN SOLVE Loop memory used=2632.2MB, alloc=4.6MB, time=244.02 NO POLE NO POLE x[1] = 0.78 y2[1] (analytic) = 1.7032794192004101843678973251179 y2[1] (numeric) = 1.7056853962106562404945630501951 absolute error = 0.0024059770102460561266657250772 relative error = 0.14125556753192739560396635488224 % h = 0.001 y1[1] (analytic) = 1.7109135380122773572162650237646 y1[1] (numeric) = 1.7106007608950545675008007405767 absolute error = 0.0003127771172227897154642831879 relative error = 0.018281293021164068655368997783847 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2636.0MB, alloc=4.6MB, time=244.22 x[1] = 0.781 y2[1] (analytic) = 1.7039899809802565810837444291757 y2[1] (numeric) = 1.7064114205041094393835085940504 absolute error = 0.0024214395238528582997641648747 relative error = 0.14210409397242309879134728605043 % h = 0.001 y1[1] (analytic) = 1.710209903253550792962388326898 y1[1] (numeric) = 1.7098947124346646137719659157381 absolute error = 0.0003151908188861791904224111599 relative error = 0.018429949346366865688306768479698 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.782 y2[1] (analytic) = 1.7046998387701806633728032765141 y2[1] (numeric) = 1.7071368202039976110166735419406 absolute error = 0.0024369814338169476438702654265 relative error = 0.14295662957151775865311890143477 % h = 0.001 y1[1] (analytic) = 1.7095055582849801593143503249576 y1[1] (numeric) = 1.7091879382622442199643559073376 absolute error = 0.00031762002273593934999441762 relative error = 0.018579642587098921555519518996222 % h = 0.001 TOP MAIN SOLVE Loop memory used=2639.8MB, alloc=4.6MB, time=244.42 NO POLE NO POLE x[1] = 0.783 y2[1] (analytic) = 1.705408991860324700465805433254 y2[1] (numeric) = 1.7078615949058308236413352088315 absolute error = 0.0024526030455061231755297755775 relative error = 0.14381318834438247626640092145876 % h = 0.001 y1[1] (analytic) = 1.7088005038109103661473725749424 y1[1] (numeric) = 1.7084804390025893198885692567455 absolute error = 0.0003200648083210462588033181969 relative error = 0.018730378859746840501190736382659 % h = 0.001 TOP MAIN SOLVE Loop memory used=2643.6MB, alloc=4.6MB, time=244.62 NO POLE NO POLE x[1] = 0.784 y2[1] (analytic) = 1.70611743954153566131480268186 y2[1] (numeric) = 1.7085857442066058097421970663091 absolute error = 0.0024683046650701484273943844491 relative error = 0.14467378434004086705894064183183 % h = 0.001 y1[1] (analytic) = 1.7080947405363958287767106964985 y1[1] (numeric) = 1.7077722152808995940972708338728 absolute error = 0.0003225252554962346794398626257 relative error = 0.018882164311035319837862414853465 % h = 0.001 TOP MAIN SOLVE Loop memory used=2647.4MB, alloc=4.6MB, time=244.82 NO POLE NO POLE x[1] = 0.785 y2[1] (analytic) = 1.7068251811053659237461389730047 y2[1] (numeric) = 1.709309267704807674875515052181 absolute error = 0.0024840865994417511293760791763 relative error = 0.14553843164143025474097708304284 % h = 0.001 y1[1] (analytic) = 1.7073882691671997629032978111966 y1[1] (numeric) = 1.7070632677227769823664783895962 absolute error = 0.0003250014444227805368194216004 relative error = 0.01903500511815652245138116803357 % h = 0.001 TOP MAIN SOLVE Loop memory used=2651.2MB, alloc=4.6MB, time=245.02 NO POLE NO POLE x[1] = 0.786 y2[1] (analytic) = 1.707532215844073982908013561925 y2[1] (numeric) = 1.7100321650004116057953624393673 absolute error = 0.0024999491563376228873488774423 relative error = 0.14640714436546301251724427543776 % h = 0.001 y1[1] (analytic) = 1.706681090409793478850587655198 y1[1] (numeric) = 1.7063535969542241944683688522213 absolute error = 0.0003274934555692843822188029767 relative error = 0.01918890748889996142551851222338 % h = 0.001 TOP MAIN SOLVE Loop memory used=2655.0MB, alloc=4.6MB, time=245.22 NO POLE NO POLE x[1] = 0.787 y2[1] (analytic) = 1.7082385430506251590119268817658 y2[1] (numeric) = 1.7107544356948845778713091148809 absolute error = 0.0025158926442594188593822331151 relative error = 0.14727993666308805193923549063635 % h = 0.001 y1[1] (analytic) = 1.7059732049713556750933031284076 y1[1] (numeric) = 1.7056432036016432192363125915526 absolute error = 0.000330001369712455856990536855 relative error = 0.019343877661782898879559594626558 % h = 0.001 TOP MAIN SOLVE Loop memory used=2658.9MB, alloc=4.6MB, time=245.42 NO POLE NO POLE x[1] = 0.788 y2[1] (analytic) = 1.7089441620186923043673014125252 y2[1] (numeric) = 1.7114760793911870617967917455008 absolute error = 0.0025319173724947574294903329756 relative error = 0.14815682271935245975852477527524 % h = 0.001 y1[1] (analytic) = 1.7052646135597717310787967513083 y1[1] (numeric) = 1.7049320882918338319228445979735 absolute error = 0.0003325252679378991559521533348 relative error = 0.019499921906181261121314841267621 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2662.7MB, alloc=4.6MB, time=245.62 x[1] = 0.789 y2[1] (analytic) = 1.7096490720426565097085705110381 y2[1] (numeric) = 1.7121970956937747295874519329425 absolute error = 0.0025480236511182198788814219044 relative error = 0.14903781675346328314262023659347 % h = 0.001 y1[1] (analytic) = 1.7045553168836329993417302080539 y1[1] (numeric) = 1.7042202516519920998512822471502 absolute error = 0.0003350652316408994904479609037 relative error = 0.019657046522461072227211830571808 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.79 y2[1] (analytic) = 1.7103532724176078098140288749692 y2[1] (numeric) = 1.7129174842086001598687200879315 absolute error = 0.0025642117909923500546912129623 relative error = 0.14992293301884946361550517122131 % h = 0.001 y1[1] (analytic) = 1.703845315652236096912780861085 y1[1] (numeric) = 1.7035076943097088863617000435588 absolute error = 0.0003376213425272105510808175262 relative error = 0.019815257842110408170370376302762 % h = 0.001 TOP MAIN SOLVE Loop memory used=2666.5MB, alloc=4.6MB, time=245.81 NO POLE NO POLE x[1] = 0.791 y2[1] (analytic) = 1.711056762439345888415739022023 y2[1] (numeric) = 1.7136372445431145424519233795839 absolute error = 0.0025804821037686540361843575609 relative error = 0.15081218580322392008570831913881 % h = 0.001 y1[1] (analytic) = 1.7031346105755821960220838285014 y1[1] (numeric) = 1.7027944168929683530519724579887 absolute error = 0.0003401936826138429701113705127 relative error = 0.019974562227871873626852542814916 % h = 0.001 TOP MAIN SOLVE Loop memory used=2670.3MB, alloc=4.6MB, time=246.01 NO POLE NO POLE x[1] = 0.792 y2[1] (analytic) = 1.7117595414043807823997888745235 y2[1] (numeric) = 1.7143563763062693821981967438901 absolute error = 0.0025968349018885997984078693666 relative error = 0.15170558942864578132543326396451 % h = 0.001 y1[1] (analytic) = 1.7024232023643763140981189206891 y1[1] (numeric) = 1.7020804200301464603145966955094 absolute error = 0.0003427823342298537835222251797 relative error = 0.020134966073875603599611333713818 % h = 0.001 TOP MAIN SOLVE Loop memory used=2674.1MB, alloc=4.6MB, time=246.22 NO POLE NO POLE x[1] = 0.793 y2[1] (analytic) = 1.7124616086099335852961962491652 y2[1] (numeric) = 1.7150748791085182021694765628864 absolute error = 0.0026132704985846168732803137212 relative error = 0.15260315825158276826496928932204 % h = 0.001 y1[1] (analytic) = 1.7017110917300266030627524372568 y1[1] (numeric) = 1.701365704350009466170007951087 absolute error = 0.0003453873800171368927444861698 relative error = 0.020296475805772792009037311090359 % h = 0.001 TOP MAIN SOLVE Loop memory used=2677.9MB, alloc=4.6MB, time=246.41 NO POLE NO POLE x[1] = 0.794 y2[1] (analytic) = 1.7131629633539371500577567620875 y2[1] (numeric) = 1.7157927525618182460658572542786 absolute error = 0.0026297892078810960081004921911 relative error = 0.15350490666297372646730183920389 % h = 0.001 y1[1] (analytic) = 1.7009982793846436379231445291801 y1[1] (numeric) = 1.7006502704817124233971004301123 absolute error = 0.0003480089029312145260440990678 relative error = 0.020459097880869749408421635071849 % h = 0.001 TOP MAIN SOLVE Loop memory used=2681.7MB, alloc=4.6MB, time=246.61 NO POLE NO POLE x[1] = 0.795 y2[1] (analytic) = 1.713863604935036791127132370486 y2[1] (numeric) = 1.7165099962796321799485916398525 absolute error = 0.0026463913445953888214592693665 relative error = 0.1544108490882913091485401180135 % h = 0.001 y1[1] (analytic) = 1.7002847660410397046612335341874 y1[1] (numeric) = 1.6999341190547976749616681305486 absolute error = 0.0003506469862420296995654036388 relative error = 0.020622838788262491992117183950233 % h = 0.001 TOP MAIN SOLVE Loop memory used=2685.6MB, alloc=4.6MB, time=246.82 NO POLE NO POLE x[1] = 0.796 y2[1] (analytic) = 1.7145635326525909857914784837286 y2[1] (numeric) = 1.7172266098769297932480165899673 absolute error = 0.0026630772243388074565381062387 relative error = 0.15532099998760481111048230485476 % h = 0.001 y1[1] (analytic) = 1.6995705524127280874215093958435 y1[1] (numeric) = 1.699217250699193347743480102224 absolute error = 0.0003533017135347396780292936195 relative error = 0.020787705048971864073686745178366 % h = 0.001 TOP MAIN SOLVE Loop memory used=2689.4MB, alloc=4.6MB, time=247.02 NO POLE NO POLE x[1] = 0.797 y2[1] (analytic) = 1.7152627458066720748239082894086 y2[1] (numeric) = 1.7179425929701896990556860707758 absolute error = 0.0026798471635176242317777813672 relative error = 0.15623537385564315395234534607632 % h = 0.001 y1[1] (analytic) = 1.6988556392139223549977889784976 y1[1] (numeric) = 1.6984996660452118445627056169814 absolute error = 0.0003559731687105104350833615162 relative error = 0.020953703216079196220878980280612 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2693.2MB, alloc=4.6MB, time=247.21 x[1] = 0.798 y2[1] (analytic) = 1.7159612436980669624110936529281 y2[1] (numeric) = 1.7186579451774010336999943505511 absolute error = 0.002696701479334071288900697623 relative error = 0.15715398522185802292939633158212 % h = 0.001 y1[1] (analytic) = 1.6981400271595356466197067912625 y1[1] (numeric) = 1.6977813657235483345064054009576 absolute error = 0.0003586614359873121133013903049 relative error = 0.021120839874862501243869186698856 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.799 y2[1] (analytic) = 1.7166590256282778153663026630705 y2[1] (numeric) = 1.7193726661180651556045727516195 absolute error = 0.002713640489787340238270088549 relative error = 0.15807684865048715582693605407225 % h = 0.001 y1[1] (analytic) = 1.6974237169651799570396353344726 y1[1] (numeric) = 1.6970623503652792415558057971917 absolute error = 0.0003613665999007154838295372809 relative error = 0.021289121642933210242843031784879 % h = 0.001 TOP MAIN SOLVE Loop memory used=2697.0MB, alloc=4.6MB, time=247.41 NO POLE NO POLE x[1] = 0.8 y2[1] (analytic) = 1.7173560908995227616271746105814 y2[1] (numeric) = 1.7200867554131973434287439649018 absolute error = 0.0027306645136745818015693543204 relative error = 0.15900397874061778421880249744027 % h = 0.001 y1[1] (analytic) = 1.6967067093471654209207499816423 y1[1] (numeric) = 1.6963426206018607315150734430612 absolute error = 0.0003640887453046894056765385811 relative error = 0.021458555170373450930687646135551 % h = 0.001 TOP MAIN SOLVE Loop memory used=2700.8MB, alloc=4.6MB, time=247.61 NO POLE NO POLE x[1] = 0.801 y2[1] (analytic) = 1.718052438814736588037533902042 y2[1] (numeric) = 1.7208002126853284934893185749531 absolute error = 0.0027477738705919054517846729111 relative error = 0.15993539012625022748028270151813 % h = 0.001 y1[1] (analytic) = 1.6959890050224995965269540088002 y1[1] (numeric) = 1.6956221770651271972423087627122 absolute error = 0.000366827957372399284645246088 relative error = 0.021629147139873870456285962438472 % h = 0.001 TOP MAIN SOLVE Loop memory used=2704.6MB, alloc=4.6MB, time=247.81 NO POLE NO POLE x[1] = 0.802 y2[1] (analytic) = 1.7187480686775714374125451272789 y2[1] (numeric) = 1.721513037558506816463019074655 absolute error = 0.0027649688809353790504739473761 relative error = 0.16087109747636163992604570615276 % h = 0.001 y1[1] (analytic) = 1.6952706047088867487153800812132 y1[1] (numeric) = 1.6949010203872897421834772896859 absolute error = 0.0003695843215970065319027915273 relative error = 0.021800904266872004963687201606249 % h = 0.001 TOP MAIN SOLVE Loop memory used=2708.4MB, alloc=4.6MB, time=248.01 NO POLE NO POLE x[1] = 0.803 y2[1] (analytic) = 1.7194429797923975048865122152131 y2[1] (numeric) = 1.7222252296582995333688172803613 absolute error = 0.0027822498659020284823050651482 relative error = 0.16181111549496991144443708940974 % h = 0.001 y1[1] (analytic) = 1.6945515091247271312321852049411 y1[1] (numeric) = 1.6941791512009346622099985493488 absolute error = 0.0003723579237924690221866555923 relative error = 0.021973833299691198132249170782203 % h = 0.001 TOP MAIN SOLVE Loop memory used=2712.3MB, alloc=4.6MB, time=248.21 NO POLE NO POLE x[1] = 0.804 y2[1] (analytic) = 1.7201371714643037335426253304078 y2[1] (numeric) = 1.7229367886117945708294716903194 absolute error = 0.0027996171474908372868463599116 relative error = 0.16275545892119772200020698310427 % h = 0.001 y1[1] (analytic) = 1.6938317189891162683123568473649 y1[1] (numeric) = 1.6934565701390219257607129445081 absolute error = 0.0003751488500943425516439028568 relative error = 0.022147941019680070952716778865244 % h = 0.001 TOP MAIN SOLVE Loop memory used=2716.1MB, alloc=4.6MB, time=248.41 NO POLE NO POLE x[1] = 0.805 y2[1] (analytic) = 1.7208306429990985093239598806256 y2[1] (numeric) = 1.7236477140476022556115519615888 absolute error = 0.0028170710485037462875920809632 relative error = 0.16370414252933675037847837543692 % h = 0.001 y1[1] (analytic) = 1.6931112350218442355842486268248 y1[1] (numeric) = 1.6927332778348836522889478007335 absolute error = 0.0003779571869605832953008260913 relative error = 0.022323234241352545004116128534983 % h = 0.001 TOP MAIN SOLVE Loop memory used=2719.9MB, alloc=4.6MB, time=248.60 NO POLE NO POLE x[1] = 0.806 y2[1] (analytic) = 1.7215233937033103552250327244533 y2[1] (numeric) = 1.7243580055958570084432383134512 absolute error = 0.0028346118925466532182055889979 relative error = 0.1646571811289120375435009960572 % h = 0.001 y1[1] (analytic) = 1.6923900579433949402795646667706 y1[1] (numeric) = 1.6920092749222225890154044404158 absolute error = 0.0003807830211723512641602263548 relative error = 0.022499719812528421506304942414905 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2723.7MB, alloc=4.6MB, time=248.80 x[1] = 0.807 y2[1] (analytic) = 1.7222154228841886247632213874979 y2[1] (numeric) = 1.7250676628882190371091842984528 absolute error = 0.0028522400040304123459629109549 relative error = 0.16561458956474650498647812451171 % h = 0.001 y1[1] (analytic) = 1.6916681884749454007495124043812 y1[1] (numeric) = 1.6912845620351105859875888664683 absolute error = 0.0003836264398348147619235379129 relative error = 0.02267740461447451843302816148086 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.808 y2[1] (analytic) = 1.7229067298497041947293528157898 y2[1] (numeric) = 1.7257766855578760288217320157355 absolute error = 0.0028699557081718340923791999457 relative error = 0.16657638271702562843749927051474 % h = 0.001 y1[1] (analytic) = 1.6909456273383650252878443374403 y1[1] (numeric) = 1.6905591398079870694465093478186 absolute error = 0.0003864875303779558413349896217 relative error = 0.02285629556204636798038255227988 % h = 0.001 TOP MAIN SOLVE Loop memory used=2727.5MB, alloc=4.6MB, time=249.00 NO POLE NO POLE x[1] = 0.809 y2[1] (analytic) = 1.7235973139085501572167689158648 y2[1] (numeric) = 1.7264850732395448418677694752029 absolute error = 0.0028877593309946846510005593381 relative error = 0.16754257550136226731736084440758 % h = 0.001 y1[1] (analytic) = 1.6902223752562148902615098863654 y1[1] (numeric) = 1.6898330088756575135013649094469 absolute error = 0.0003893663805573767601449769185 relative error = 0.023036399603830476695696314185936 % h = 0.001 TOP MAIN SOLVE Loop memory used=2731.3MB, alloc=4.6MB, time=249.20 NO POLE NO POLE x[1] = 0.81 y2[1] (analytic) = 1.7242871743701425109281768525145 y2[1] (numeric) = 1.7271928255694731965305204553203 absolute error = 0.0029056511993306856023436028058 relative error = 0.16851318286886165030580967066374 % h = 0.001 y1[1] (analytic) = 1.6894984329517470175496392406801 y1[1] (numeric) = 1.6891061698732919101129494397019 absolute error = 0.0003922630784551074366898009782 relative error = 0.023217723722287150581979228376776 % h = 0.001 TOP MAIN SOLVE Loop memory used=2735.2MB, alloc=4.6MB, time=249.40 NO POLE NO POLE x[1] = 0.811 y2[1] (analytic) = 1.7249763105446208517595927974149 y2[1] (numeric) = 1.7278999421854413652855578319723 absolute error = 0.0029236316408205135259650345574 relative error = 0.16948821980618651740350049709119 % h = 0.001 y1[1] (analytic) = 1.688773801148903651291581750883 y1[1] (numeric) = 1.6883786234364232373864968369645 absolute error = 0.0003951777124804139050849139185 relative error = 0.023400274933893887503296076546493 % h = 0.001 TOP MAIN SOLVE Loop memory used=2739.0MB, alloc=4.6MB, time=249.60 NO POLE NO POLE x[1] = 0.812 y2[1] (analytic) = 1.7256647217428490626606885447446 y2[1] (numeric) = 1.7286064227267638622703319907871 absolute error = 0.0029417009839147996096434460425 relative error = 0.17046770133562241886571851965677 % h = 0.001 y1[1] (analytic) = 1.6880484805723165339447221176171 y1[1] (numeric) = 1.6876503702009459261746933264353 absolute error = 0.0003981103713706077700287911818 relative error = 0.023584060289289339226661122399417 % h = 0.001 TOP MAIN SOLVE Loop memory used=2742.8MB, alloc=4.6MB, time=249.80 NO POLE NO POLE x[1] = 0.813 y2[1] (analytic) = 1.7263524072764160027708511335054 y2[1] (numeric) = 1.7293122668342911320265065706903 absolute error = 0.0029598595578751292556554371849 relative error = 0.17145164251514317138668137856255 % h = 0.001 y1[1] (analytic) = 1.6873224719473061816527983202618 y1[1] (numeric) = 1.6869214108031143249915837858907 absolute error = 0.0004010611441918566612145343711 relative error = 0.023769086873417845446344635054559 % h = 0.001 TOP MAIN SOLVE Loop memory used=2746.6MB, alloc=4.6MB, time=250.00 NO POLE NO POLE x[1] = 0.814 y2[1] (analytic) = 1.7270393664576361958302663405423 y2[1] (numeric) = 1.7300174741504112375143944221624 absolute error = 0.0029781076927750416841280816201 relative error = 0.17244005843847647191400208738707 % h = 0.001 y1[1] (analytic) = 1.6865957759998811589254459165686 y1[1] (numeric) = 1.686191745879541163238099626689 absolute error = 0.0004040301203399956873462898796 relative error = 0.023955361805674542146823985743786 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2750.4MB, alloc=4.6MB, time=250.20 x[1] = 0.815 y2[1] (analytic) = 1.7277255985995505178653376332361 y2[1] (numeric) = 1.7307220443190515473987872997495 absolute error = 0.0029964457195010295334496665134 relative error = 0.17343296423516966947366493532034 % h = 0.001 y1[1] (analytic) = 1.6858683934567373526296940337378 y1[1] (numeric) = 1.6854613760671960127399364831037 absolute error = 0.0004070173895413398897575506341 relative error = 0.024142892240051046671002013861187 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.816 y2[1] (analytic) = 1.7284111030159268841477528965088 y2[1] (numeric) = 1.7314259769856804226054734448108 absolute error = 0.003014873969753538457720548302 relative error = 0.17443037507065569538664055433335 % h = 0.001 y1[1] (analytic) = 1.685140325045257245294139059378 y1[1] (numeric) = 1.6847303020034037475985106692255 absolute error = 0.0004100230418534976956283901525 relative error = 0.024331685365281721870754381729514 % h = 0.001 TOP MAIN SOLVE Loop memory used=2754.2MB, alloc=4.6MB, time=250.39 NO POLE NO POLE x[1] = 0.817 y2[1] (analytic) = 1.72909587902126093542651197513 y2[1] (numeric) = 1.7321292717973089021477378512756 absolute error = 0.0030333927760479667212258761456 relative error = 0.17543230614631915225904407072992 % h = 0.001 y1[1] (analytic) = 1.684411571493509187726522728114 y1[1] (numeric) = 1.6839985243258430023557240681993 absolute error = 0.0004130471676661853707986599147 relative error = 0.0245217484049905217273557691562 % h = 0.001 TOP MAIN SOLVE Loop memory used=2758.0MB, alloc=4.6MB, time=250.60 NO POLE NO POLE x[1] = 0.818 y2[1] (analytic) = 1.7297799259307767234322287993561 y2[1] (numeric) = 1.7328319284024923882221406443316 absolute error = 0.0030520024717156647899118449755 relative error = 0.1764387726995625621285215652822 % h = 0.001 y1[1] (analytic) = 1.683682133530246670945441986206 y1[1] (numeric) = 1.6832660436725446284732678234516 absolute error = 0.0004160898577020424721741627544 relative error = 0.024713088617838420839872248382091 % h = 0.001 TOP MAIN SOLVE Loop memory used=2761.9MB, alloc=4.6MB, time=250.80 NO POLE NO POLE x[1] = 0.819 y2[1] (analytic) = 1.7304632430604273956530225896556 y2[1] (numeric) = 1.733533946451332330572869639467 absolute error = 0.0030707033909049349198470498114 relative error = 0.17744979000387277415033495056127 % h = 0.001 y1[1] (analytic) = 1.6829520118849075974269187024083 y1[1] (numeric) = 1.6825328606818901491271959058143 absolute error = 0.000419151203017448299722796594 relative error = 0.024905713297671430190194278576638 % h = 0.001 TOP MAIN SOLVE Loop memory used=2765.7MB, alloc=4.6MB, time=251.00 NO POLE NO POLE x[1] = 0.82 y2[1] (analytic) = 1.7311458297268958793813133646877 y2[1] (numeric) = 1.7342353255954779101239637871428 absolute error = 0.0030894958685820307426504224551 relative error = 0.17846537336888753220740383942225 % h = 0.001 y1[1] (analytic) = 1.6822212072876135516665579784369 y1[1] (numeric) = 1.6817989759926102123185003340653 absolute error = 0.0004222312950033393480576443716 relative error = 0.025099629773669201604021719663103 % h = 0.001 TOP MAIN SOLVE Loop memory used=2769.5MB, alloc=4.6MB, time=251.20 NO POLE NO POLE x[1] = 0.821 y2[1] (analytic) = 1.7318276852475955650308377057945 y2[1] (numeric) = 1.7349360654881277218787048465794 absolute error = 0.0031083802405321568478671407849 relative error = 0.17948553814046220282935502777794 % h = 0.001 y1[1] (analytic) = 1.6814897204691690700580244968283 y1[1] (numeric) = 1.6810643902437830423004205293819 absolute error = 0.0004253302253860277576039674464 relative error = 0.0252948454104942233377993419781 % h = 0.001 TOP MAIN SOLVE Loop memory used=2773.3MB, alloc=4.6MB, time=251.40 NO POLE NO POLE x[1] = 0.822 y2[1] (analytic) = 1.7325088089406709887232014610491 y2[1] (numeric) = 1.7356361657840314570854752706964 absolute error = 0.0031273568433604683622738096473 relative error = 0.18051029970073666380642584899424 % h = 0.001 y1[1] (analytic) = 1.6807575521610609100885670276502 y1[1] (numeric) = 1.6803291040748328893232199865402 absolute error = 0.00042844808622802076534704111 relative error = 0.025491367608441609232338756182103 % h = 0.001 TOP MAIN SOLVE Loop memory used=2777.1MB, alloc=4.6MB, time=251.61 NO POLE NO POLE x[1] = 0.823 y2[1] (analytic) = 1.7331892001249985141432868023628 y2[1] (numeric) = 1.736335626139491584669380923149 absolute error = 0.0031464260144930705260941207862 relative error = 0.1815396734682023538848668794035 % h = 0.001 y1[1] (analytic) = 1.6800247030954573188523218984808 y1[1] (numeric) = 1.6795931181255284776971641463911 absolute error = 0.0004315849699288411551577520897 relative error = 0.025689203803589483884650764631662 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2780.9MB, alloc=4.6MB, time=251.80 x[1] = 0.824 y2[1] (analytic) = 1.7338688581201870136628317803018 y2[1] (numeric) = 1.7370344462123650319289378876558 absolute error = 0.003165588092178018266106107354 relative error = 0.182573674897769483931292286233 % h = 0.001 y1[1] (analytic) = 1.6792911740052073008821269142913 y1[1] (numeric) = 1.6788564330359814521744340552058 absolute error = 0.0004347409692258487076928590855 relative error = 0.025888361467949966300351098178703 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.825 y2[1] (analytic) = 1.7345477822465785487315012530908 y2[1] (numeric) = 1.7377326256620648644971232694087 absolute error = 0.0031848434154863157656220163179 relative error = 0.18361231948083440995423251325106 % h = 0.001 y1[1] (analytic) = 1.6785569656238398853005778953559 y1[1] (numeric) = 1.6781190494466448226507110969001 absolute error = 0.0004379161771950626498667984558 relative error = 0.026088848109620754499892612010415 % h = 0.001 TOP MAIN SOLVE Loop memory used=2784.7MB, alloc=4.6MB, time=252.00 NO POLE NO POLE x[1] = 0.826 y2[1] (analytic) = 1.7352259718252490495347687987877 y2[1] (numeric) = 1.738430164149561965566090528296 absolute error = 0.0032041923243129160313217295083 relative error = 0.18465562274534716837195399802559 % h = 0.001 y1[1] (analytic) = 1.6778220786855633922910606820732 y1[1] (numeric) = 1.67738096799831140718716878393 absolute error = 0.0004411106872519851038918981432 relative error = 0.026290671272937313562818530939395 % h = 0.001 TOP MAIN SOLVE Loop memory used=2788.6MB, alloc=4.6MB, time=252.20 NO POLE NO POLE x[1] = 0.827 y2[1] (analytic) = 1.735903426178008993917929952807 y2[1] (numeric) = 1.7391270613373867143748505239524 absolute error = 0.0032236351593777204569205711454 relative error = 0.18570360025587917391642420978925 % h = 0.001 y1[1] (analytic) = 1.6770865139252646988894921356054 y1[1] (numeric) = 1.67664218933211227335360829179 absolute error = 0.0004443245931524255358838438154 relative error = 0.026493838538625669605224521291924 % h = 0.001 TOP MAIN SOLVE Loop memory used=2792.4MB, alloc=4.6MB, time=252.40 NO POLE NO POLE x[1] = 0.828 y2[1] (analytic) = 1.7365801446274040855755678468317 y2[1] (numeric) = 1.7398233168896306639592200932713 absolute error = 0.0032431722622265783836522464396 relative error = 0.18675626761369108056411749186352 % h = 0.001 y1[1] (analytic) = 1.6763502720785085040975043425319 y1[1] (numeric) = 1.675902714089515177893475120545 absolute error = 0.0004475579889933262040292219869 relative error = 0.0266983575239558121966624872032 % h = 0.001 TOP MAIN SOLVE Loop memory used=2796.2MB, alloc=4.6MB, time=252.60 NO POLE NO POLE x[1] = 0.829 y2[1] (analytic) = 1.7372561264967159315057930597084 y2[1] (numeric) = 1.7405189304719482181633406219771 absolute error = 0.0032628039752322866575475622687 relative error = 0.18781364045680080588517798867821 % h = 0.001 y1[1] (analytic) = 1.6756133538815365933178069102739 y1[1] (numeric) = 1.6751625429123230047114949646862 absolute error = 0.0004508109692135886063119455877 relative error = 0.026904235882895707733816309305089 % h = 0.001 TOP MAIN SOLVE Loop memory used=2800.0MB, alloc=4.6MB, time=252.80 NO POLE NO POLE x[1] = 0.83 y2[1] (analytic) = 1.7379313711099627187285802261381 y2[1] (numeric) = 1.7412139017515583079120697131555 absolute error = 0.0032825306415955891834894870174 relative error = 0.18887573446005171920328033882469 % h = 0.001 y1[1] (analytic) = 1.6748757600712671021124629178644 y1[1] (numeric) = 1.674421676442672201184667569819 absolute error = 0.0004540836285949009277953480454 relative error = 0.027111481306265926299429529767608 % h = 0.001 TOP MAIN SOLVE Loop memory used=2803.8MB, alloc=4.6MB, time=253.00 NO POLE NO POLE x[1] = 0.831 y2[1] (analytic) = 1.7386058777918998902675246848866 y2[1] (numeric) = 1.7419082303972460667435496972733 absolute error = 0.0033023526053461764760250123867 relative error = 0.18994256533518099395935682292971 % h = 0.001 y1[1] (analytic) = 1.6741374913852937792848147637283 y1[1] (numeric) = 1.6736801153230312127973580512669 absolute error = 0.0004573760622625664874567124614 relative error = 0.027320101521894884546167508635315 % h = 0.001 TOP MAIN SOLVE Loop memory used=2807.6MB, alloc=4.6MB, time=253.20 NO POLE NO POLE x[1] = 0.832 y2[1] (analytic) = 1.7392796458680208203943431848106 y2[1] (numeric) = 1.7426019160793645056012573701896 absolute error = 0.003322270211343685206914185379 relative error = 0.19101414883088812467319127327512 % h = 0.001 y1[1] (analytic) = 1.6733985485618852492857968284831 y1[1] (numeric) = 1.6729378601961989161012258456107 absolute error = 0.0004606883656863331845709828724 relative error = 0.027530104294774707156352101134544 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2811.4MB, alloc=4.6MB, time=253.40 x[1] = 0.833 y2[1] (analytic) = 1.739952674664557489135443404258 y2[1] (numeric) = 1.7432949584698361868848399879632 absolute error = 0.0033422838052786977493965837052 relative error = 0.19209050073290360889771528186232 % h = 0.001 y1[1] (analytic) = 1.6726589323399842739453725463881 y1[1] (numeric) = 1.6721949117053030500007321614733 absolute error = 0.0004640206346812239446403849148 relative error = 0.027741497427217709439815706589005 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.834 y2[1] (analytic) = 1.7406249635084811560398877773265 y2[1] (numeric) = 1.7439873572421548977590431898927 absolute error = 0.0033623937336737417191554125662 relative error = 0.19317163686405779456168108922694 % h = 0.001 y1[1] (analytic) = 1.6719186434592070135298341539424 y1[1] (numeric) = 1.6714512704937986453649674905122 absolute error = 0.0004673729654083681648666634302 relative error = 0.027954288759013503643483888259698 % h = 0.001 TOP MAIN SOLVE Loop memory used=2815.3MB, alloc=4.6MB, time=253.59 NO POLE NO POLE x[1] = 0.835 y2[1] (analytic) = 1.741296511727503033208077859075 y2[1] (numeric) = 1.7446791120713873227200371641915 absolute error = 0.0033826003438842895119593051165 relative error = 0.19425757308434989309722799971317 % h = 0.001 y1[1] (analytic) = 1.6711776826598422871257040582708 y1[1] (numeric) = 1.6707069372054664529665414335869 absolute error = 0.0004707454543758341591626246839 relative error = 0.028168486167586731557711935230053 % h = 0.001 TOP MAIN SOLVE Loop memory used=2819.1MB, alloc=4.6MB, time=253.80 NO POLE NO POLE x[1] = 0.836 y2[1] (analytic) = 1.7419673186500749575804862010582 y2[1] (numeric) = 1.7453702226341747154184480139888 absolute error = 0.0034029039840997578379618129306 relative error = 0.19534832529101715874970525357942 % h = 0.001 y1[1] (analytic) = 1.6704360506828508323509774413339 y1[1] (numeric) = 1.6699619124844113697482777904339 absolute error = 0.0004741381984394626026996509 relative error = 0.028384097568155426015871007274241 % h = 0.001 TOP MAIN SOLVE Loop memory used=2822.9MB, alloc=4.6MB, time=253.99 NO POLE NO POLE x[1] = 0.837 y2[1] (analytic) = 1.7426373836053900624857634485088 y2[1] (numeric) = 1.746060688608734569738401924967 absolute error = 0.0034233050033445072526384764582 relative error = 0.19644390941860423446796399494217 % h = 0.001 y1[1] (analytic) = 1.6696937482698645643944463886591 y1[1] (numeric) = 1.6692161969750608634184585539017 absolute error = 0.0004775512948037009759878347574 relative error = 0.028601130913890003895204149434422 % h = 0.001 TOP MAIN SOLVE Loop memory used=2826.7MB, alloc=4.6MB, time=254.19 NO POLE NO POLE x[1] = 0.838 y2[1] (analytic) = 1.743306705923383448447549111117 y2[1] (numeric) = 1.7467505096748622901318903798879 absolute error = 0.0034438037514788416843412687709 relative error = 0.19754434143903266477418431020659 % h = 0.001 y1[1] (analytic) = 1.6689507761631858343838465032063 y1[1] (numeric) = 1.6684697913221633953753611418757 absolute error = 0.0004809848410224390084853613306 relative error = 0.028819594196072893238551763012624 % h = 0.001 TOP MAIN SOLVE Loop memory used=2830.5MB, alloc=4.6MB, time=254.39 NO POLE NO POLE x[1] = 0.839 y2[1] (analytic) = 1.7439752849347328532493152006504 y2[1] (numeric) = 1.7474396855139328612077653095263 absolute error = 0.0034644005792000079584501088759 relative error = 0.19864963736167057601316027769411 % h = 0.001 y1[1] (analytic) = 1.6682071351057866870835676361593 y1[1] (numeric) = 1.667722696170786841961833891454 absolute error = 0.0004844389349998451217337447053 relative error = 0.02903949544425879712818035466661 % h = 0.001 TOP MAIN SOLVE Loop memory used=2834.3MB, alloc=4.6MB, time=254.59 NO POLE NO POLE x[1] = 0.84 y2[1] (analytic) = 1.7446431199708593212565726706296 y2[1] (numeric) = 1.7481282158089025165746737141175 absolute error = 0.0034850958380431953181010434879 relative error = 0.1997598132334025243818265680978 % h = 0.001 y1[1] (analytic) = 1.6674628258413081179226710368709 y1[1] (numeric) = 1.6669749121663169140506555307258 absolute error = 0.0004879136749912038720155061451 relative error = 0.029260842726435596954637836808269 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2838.1MB, alloc=4.6MB, time=254.79 x[1] = 0.841 y2[1] (analytic) = 1.7453102103639278719957713359055 y2[1] (numeric) = 1.7488161002443104069372419343331 absolute error = 0.0035058898803825349414705984276 relative error = 0.20087488513869951214067437150527 % h = 0.001 y1[1] (analytic) = 1.6667178491140593293539558938825 y1[1] (numeric) = 1.666226439954455574961425033645 absolute error = 0.0004914091596037543925308602375 relative error = 0.02948364414918589773530360431048 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.842 y2[1] (analytic) = 1.7459765554468481679892246932965 y2[1] (numeric) = 1.7495033385062802674448203960265 absolute error = 0.00352678305943209945559570273 relative error = 0.20199486919968917240957230196456 % h = 0.001 y1[1] (analytic) = 1.6659722056690169865448189078902 y1[1] (numeric) = 1.6654772801812194567097289529914 absolute error = 0.0004949254877975298350899548988 relative error = 0.029707907857849218149102349277559 % h = 0.001 TOP MAIN SOLVE Loop memory used=2842.0MB, alloc=4.6MB, time=254.99 NO POLE NO POLE x[1] = 0.843 y2[1] (analytic) = 1.7466421545532751818453918084153 y2[1] (numeric) = 1.7501899302825220842921002985325 absolute error = 0.0035477757292469024467084901172 relative error = 0.20311978157622612295137944940238 % h = 0.001 y1[1] (analytic) = 1.665225896251824472400651205734 y1[1] (numeric) = 1.6647274334929382745893340152651 absolute error = 0.0004984627588861978113171904689 relative error = 0.029933642036684827965707383932682 % h = 0.001 TOP MAIN SOLVE Loop memory used=2845.8MB, alloc=4.6MB, time=255.19 NO POLE NO POLE x[1] = 0.844 y2[1] (analytic) = 1.7473070070176098626038491784596 y2[1] (numeric) = 1.7508758752623337605709143621657 absolute error = 0.0035688682447238979670651837061 relative error = 0.20424963846596248934761291384615 % h = 0.001 y1[1] (analytic) = 1.6644789216087911419215175719538 y1[1] (numeric) = 1.663976900536253240088153449566 absolute error = 0.0005020210725379018333641223878 relative error = 0.030160854909035235559472410243109 % h = 0.001 TOP MAIN SOLVE Loop memory used=2849.6MB, alloc=4.6MB, time=255.38 NO POLE NO POLE x[1] = 0.845 y2[1] (analytic) = 1.7479711121749998013342862260498 y2[1] (numeric) = 1.751561173136602781372534396734 absolute error = 0.0035900609616029800382481706842 relative error = 0.20538445610441859797131097200529 % h = 0.001 y1[1] (analytic) = 1.6637312824868915758928636411686 y1[1] (numeric) = 1.6632256819581154721387362100724 absolute error = 0.0005056005287761037541274310962 relative error = 0.030389554737490328210300492308716 % h = 0.001 TOP MAIN SOLVE Loop memory used=2853.4MB, alloc=4.6MB, time=255.59 NO POLE NO POLE x[1] = 0.846 y2[1] (analytic) = 1.7486344693613398959888588251738 y2[1] (numeric) = 1.7522458235978078781397790993704 absolute error = 0.0036113542364679821509202741966 relative error = 0.20652425076505383916311549487477 % h = 0.001 y1[1] (analytic) = 1.6629829796337648339109973605104 y1[1] (numeric) = 1.6624737784057844067040289386473 absolute error = 0.0005092012279804272069684218631 relative error = 0.030619749824052167905685746327031 % h = 0.001 TOP MAIN SOLVE Loop memory used=2857.2MB, alloc=4.6MB, time=255.79 NO POLE NO POLE x[1] = 0.847 y2[1] (analytic) = 1.7492970779132730155072360069414 y2[1] (numeric) = 1.7529298263400206922682461367805 absolute error = 0.0036327484267476767610101298391 relative error = 0.2076690387593377010174833604395 % h = 0.001 y1[1] (analytic) = 1.6622340137977137067440916965694 y1[1] (numeric) = 1.6617211905268262046991612003701 absolute error = 0.0005128232708875020449304961993 relative error = 0.030851448510300445370247255201964 % h = 0.001 TOP MAIN SOLVE Loop memory used=2861.0MB, alloc=4.6MB, time=255.99 NO POLE NO POLE x[1] = 0.848 y2[1] (analytic) = 1.7499589371681906631736757401562 y2[1] (numeric) = 1.7536131810589074379559832141108 absolute error = 0.0036542438907167747823074739546 relative error = 0.20881883643682097418682639192836 % h = 0.001 y1[1] (analytic) = 1.6614843857277039680294562257845 y1[1] (numeric) = 1.6609679189691121582500052104107 absolute error = 0.0005164667585918097794510153738 relative error = 0.03108465917755859506121623554246 % h = 0.001 TOP MAIN SOLVE Loop memory used=2864.9MB, alloc=4.6MB, time=256.18 NO POLE NO POLE x[1] = 0.849 y2[1] (analytic) = 1.7506200464642336392254664296844 y2[1] (numeric) = 1.754295887451730564300913480052 absolute error = 0.0036758409874969250754470503676 relative error = 0.20997366018520712811227280223774 % h = 0.001 y1[1] (analytic) = 1.6607340961733636253078259109465 y1[1] (numeric) = 1.66021396438081709528926195564 absolute error = 0.0005201317925465300185639553065 relative error = 0.031319390247060573880536829861293 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2868.7MB, alloc=4.6MB, time=256.39 x[1] = 0.85 y2[1] (analytic) = 1.7512804051402927027120715242355 y2[1] (numeric) = 1.7549779452173504166453312655145 absolute error = 0.003697540077057713933259741279 relative error = 0.21113352643042385909064024371379 % h = 0.001 y1[1] (analytic) = 1.6599831458849821703954160294615 y1[1] (numeric) = 1.6594593274104177824908262986952 absolute error = 0.0005238184745643879045897307663 relative error = 0.031555650180118306366498364116675 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.851 y2[1] (analytic) = 1.7519400125360092326043153744632 y2[1] (numeric) = 1.7556593540562268971667848012317 absolute error = 0.0037193415202176645624694267685 relative error = 0.21229845163669481058811135258751 % h = 0.001 y1[1] (analytic) = 1.6592315356135098290944928812576 y1[1] (numeric) = 1.6587040087066913265431843358975 absolute error = 0.0005275269068185025513085453601 relative error = 0.031793447478289799140132799892667 % h = 0.001 TOP MAIN SOLVE Loop memory used=2872.5MB, alloc=4.6MB, time=256.59 NO POLE NO POLE x[1] = 0.852 y2[1] (analytic) = 1.7525988679917758881529492322585 y2[1] (numeric) = 1.7563401136704211247146632079758 absolute error = 0.0037412456786452365617139757173 relative error = 0.21346845230661146621200714302693 % h = 0.001 y1[1] (analytic) = 1.6584792661105568102432105657027 y1[1] (numeric) = 1.657948008918713573762596963451 absolute error = 0.0005312571918432364806136022517 relative error = 0.032032790683547927393985722394933 % h = 0.001 TOP MAIN SOLVE Loop memory used=2876.3MB, alloc=4.6MB, time=256.79 NO POLE NO POLE x[1] = 0.853 y2[1] (analytic) = 1.7532569708487372684959370327215 y2[1] (numeric) = 1.7570202237635970938918057016963 absolute error = 0.0037632529148598253958686689748 relative error = 0.21464354498120521575296175125069 % h = 0.001 y1[1] (analytic) = 1.6577263381283925541054647776315 y1[1] (numeric) = 1.6571913286958575080468242887328 absolute error = 0.0005350094325350460586404888987 relative error = 0.032273688378449896223302842742596 % h = 0.001 TOP MAIN SOLVE Loop memory used=2880.1MB, alloc=4.6MB, time=256.99 NO POLE NO POLE x[1] = 0.854 y2[1] (analytic) = 1.7539143204487905715138013515826 y2[1] (numeric) = 1.7576996840410233333804516048172 absolute error = 0.0037853635922327618666502532346 relative error = 0.21582374624001959471071385857483 % h = 0.001 y1[1] (analytic) = 1.6569727524199449801015152325684 y1[1] (numeric) = 1.6564339686877916471701462052175 absolute error = 0.0005387837321533329313690273509 relative error = 0.032516149186307379612166960871086 % h = 0.001 TOP MAIN SOLVE Loop memory used=2883.9MB, alloc=4.6MB, time=257.19 NO POLE NO POLE x[1] = 0.855 y2[1] (analytic) = 1.7545709161345862519323706827818 y2[1] (numeric) = 1.7583784942095745635118504041539 absolute error = 0.0038075780749883115794797213721 relative error = 0.21700907270118269771764563853848 % h = 0.001 y1[1] (analytic) = 1.6562185097387997338801289904588 y1[1] (numeric) = 1.6556759295444784374204351306647 absolute error = 0.0005425801943212964596938597941 relative error = 0.032760181771357339899672938587393 % h = 0.001 TOP MAIN SOLVE Loop memory used=2887.7MB, alloc=4.6MB, time=257.39 NO POLE NO POLE x[1] = 0.856 y2[1] (analytic) = 1.7552267572495286786722699335127 y2[1] (numeric) = 1.7590566539777333530788517454321 absolute error = 0.0038298967282046744065818119194 relative error = 0.21819954102147976627511928096856 % h = 0.001 y1[1] (analytic) = 1.6554636108391994337329976057035 y1[1] (numeric) = 1.6549172119161726465790375886312 absolute error = 0.0005463989230267871539600170723 relative error = 0.033005794838933530563840780205889 % h = 0.001 TOP MAIN SOLVE Loop memory used=2891.6MB, alloc=4.6MB, time=257.60 NO POLE NO POLE x[1] = 0.857 y2[1] (analytic) = 1.7558818431377767914444967872976 y2[1] (numeric) = 1.7597341630555917753907959042042 absolute error = 0.0038523199178149839462991169066 relative error = 0.21939516789642595121858404879775 % h = 0.001 y1[1] (analytic) = 1.6547080564760429163521816890169 y1[1] (numeric) = 1.654157816453419755244221993156 absolute error = 0.0005502400226231611079596958609 relative error = 0.03325299713563868517363971918768 % h = 0.001 TOP MAIN SOLVE Loop memory used=2895.4MB, alloc=4.6MB, time=257.79 NO POLE NO POLE x[1] = 0.858 y2[1] (analytic) = 1.7565361731442447565914273395692 y2[1] (numeric) = 1.7604110211548530635700259230695 absolute error = 0.0038748480106083069785985835003 relative error = 0.22059597006033925032835342691043 % h = 0.001 y1[1] (analytic) = 1.6539518474048844819313371236005 y1[1] (numeric) = 1.6533977438070543464989506756007 absolute error = 0.0005541035978301354323864479998 relative error = 0.033501797449517395372229574941285 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2899.2MB, alloc=4.6MB, time=257.99 x[1] = 0.859 y2[1] (analytic) = 1.757189746614602622172595164811 y2[1] (numeric) = 1.7610872279888332650893432555032 absolute error = 0.0038974813742306429167480906922 relative error = 0.22180196428641362150388222894045 % h = 0.001 y1[1] (analytic) = 1.6531949843819331386114778343436 y1[1] (numeric) = 1.6526369946281984939237348711133 absolute error = 0.0005579897537346446877429632303 relative error = 0.033752204610229680767319887521758 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.86 y2[1] (analytic) = 1.7578425628952769722945887295286 y2[1] (numeric) = 1.7617627832724628955497294072892 absolute error = 0.0039202203771859232551406777606 relative error = 0.22301316738679227192030754368181 % h = 0.001 y1[1] (analytic) = 1.6524374681640518462720306642239 y1[1] (numeric) = 1.6518755695682601479553320600174 absolute error = 0.0005618985957916983166986042065 relative error = 0.034004227489225253617402773690879 % h = 0.001 TOP MAIN SOLVE Loop memory used=2903.0MB, alloc=4.6MB, time=258.19 NO POLE NO POLE x[1] = 0.861 y2[1] (analytic) = 1.7584946213334515806844128212126 y2[1] (numeric) = 1.7624376867222885916976567175307 absolute error = 0.0039430653888370110132438963181 relative error = 0.22422959621264112358695513043238 % h = 0.001 y1[1] (analytic) = 1.6516792995087567596679385667926 y1[1] (numeric) = 1.6511134692789315205920457366123 absolute error = 0.0005658302298252390758928301803 relative error = 0.034257874999918481215532392728607 % h = 0.001 TOP MAIN SOLVE Loop memory used=2906.8MB, alloc=4.6MB, time=258.39 NO POLE NO POLE x[1] = 0.862 y2[1] (analytic) = 1.7591459212770680635056604199826 y2[1] (numeric) = 1.7631119380564747636813120724758 absolute error = 0.0039660167794067001756516524932 relative error = 0.22545126765422245572845431794772 % h = 0.001 y1[1] (analytic) = 1.6509204791742164709135689775753 y1[1] (numeric) = 1.6503506944121874684463883544026 absolute error = 0.0005697847620290024671806231727 relative error = 0.034513156097864048885302681743566 % h = 0.001 TOP MAIN SOLVE Loop memory used=2910.6MB, alloc=4.6MB, time=258.59 NO POLE NO POLE x[1] = 0.863 y2[1] (analytic) = 1.7597964620748265314168421967984 y2[1] (numeric) = 1.7637855369948052465450579969473 absolute error = 0.0039890749199787151282158001489 relative error = 0.2266781986409687244100496279297 % h = 0.001 y1[1] (analytic) = 1.6501610079192512513141848804184 y1[1] (numeric) = 1.6495872456202838741458688726558 absolute error = 0.0005737622989673771683160077626 relative error = 0.034770079780933326516715939194294 % h = 0.001 TOP MAIN SOLVE Loop memory used=2914.4MB, alloc=4.6MB, time=258.79 NO POLE NO POLE x[1] = 0.864 y2[1] (analytic) = 1.7604462430761862408712215799592 y2[1] (numeric) = 1.7644584832586849509614562199983 absolute error = 0.0040122401824987100902346400391 relative error = 0.22791040614155655982964623688396 % h = 0.001 y1[1] (analytic) = 1.6494008865033322925457367372467 y1[1] (numeric) = 1.6488231235557560260826670044164 absolute error = 0.0005777629475762664630697328303 relative error = 0.035028655089491441582738222613697 % h = 0.001 TOP MAIN SOLVE Loop memory used=2918.3MB, alloc=4.6MB, time=258.99 NO POLE NO POLE x[1] = 0.865 y2[1] (analytic) = 1.7610952636313662446575040901144 y2[1] (numeric) = 1.7651307765711415132001794635293 absolute error = 0.0040355129397752685426753734149 relative error = 0.2291479071639809417000790127273 % h = 0.001 y1[1] (analytic) = 1.6486401156865809471837341013768 y1[1] (numeric) = 1.6480583288714169965129569406831 absolute error = 0.0005817868151639506707771606937 relative error = 0.03528889110657506159050370611694 % h = 0.001 TOP MAIN SOLVE Loop memory used=2922.1MB, alloc=4.6MB, time=259.19 NO POLE NO POLE x[1] = 0.866 y2[1] (analytic) = 1.7617435230913460416807304031469 y2[1] (numeric) = 1.7658024166568269443331378550006 absolute error = 0.0040588935654809026524074518537 relative error = 0.2303907187556295531460512214227 % h = 0.001 y1[1] (analytic) = 1.6478786962297679685819563854515 y1[1] (numeric) = 1.6472928622203560180066439993784 absolute error = 0.0005858340094119505753123860731 relative error = 0.035550796958070888934359440655066 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2925.9MB, alloc=4.6MB, time=259.39 x[1] = 0.867 y2[1] (analytic) = 1.7623910208078662259827233600927 y2[1] (numeric) = 1.7664734032420192786751470180456 absolute error = 0.0040823824341530526924236579529 relative error = 0.23163885800335731354114909653153 % h = 0.001 y1[1] (analytic) = 1.6471166288943127501017629052209 y1[1] (numeric) = 1.6465267242559368582482783210158 absolute error = 0.0005899046383758918534845842051 relative error = 0.035814381812894871131234701678793 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.868 y2[1] (analytic) = 1.763037756133429135001439903703 y2[1] (numeric) = 1.7671437360546242214594655477419 absolute error = 0.0041059799211950864580256440389 relative error = 0.23289234203356109071130230749354 % h = 0.001 y1[1] (analytic) = 1.6463539144422825636927629697972 y1[1] (numeric) = 1.6457599156317961931899104055859 absolute error = 0.0005939988104863705028525642113 relative error = 0.036079654883172129432175624717132 % h = 0.001 TOP MAIN SOLVE Loop memory used=2929.7MB, alloc=4.6MB, time=259.59 NO POLE NO POLE x[1] = 0.869 y2[1] (analytic) = 1.7636837284212994970685796823498 y2[1] (numeric) = 1.7678134148241767957475302305251 absolute error = 0.0041296864028772986789505481753 relative error = 0.23415118801225459293202795461528 % h = 0.001 y1[1] (analytic) = 1.6455905536363917978256074376496 y1[1] (numeric) = 1.6449924370018419785566539571531 absolute error = 0.0005981166345498192689534804965 relative error = 0.036346625424417608817306449141026 % h = 0.001 TOP MAIN SOLVE Loop memory used=2933.5MB, alloc=4.6MB, time=259.78 NO POLE NO POLE x[1] = 0.87 y2[1] (analytic) = 1.7643289370255050781448028237228 y2[1] (numeric) = 1.7684824392818429885722180222283 absolute error = 0.0041535022563379104274151985055 relative error = 0.235415413145143441147767064703 % h = 0.001 y1[1] (analytic) = 1.6448265472400011947776638054828 y1[1] (numeric) = 1.6442242890202518197057221739642 absolute error = 0.0006022582197493750719416315186 relative error = 0.036615302735717452394963747611624 % h = 0.001 TOP MAIN SOLVE Loop memory used=2937.3MB, alloc=4.6MB, time=259.98 NO POLE NO POLE x[1] = 0.871 y2[1] (analytic) = 1.7649733813008373277919101431513 y2[1] (numeric) = 1.7691508091604213963139644515031 absolute error = 0.0041774278595840685220543083518 relative error = 0.23668503467770042184259766695751 % h = 0.001 y1[1] (analytic) = 1.6440618960171170872723375442638 y1[1] (numeric) = 1.6434554723414713398397042925329 absolute error = 0.0006064236756457474326332517309 relative error = 0.036885696159911103239299847451082 % h = 0.001 TOP MAIN SOLVE Loop memory used=2941.1MB, alloc=4.6MB, time=260.18 NO POLE NO POLE x[1] = 0.872 y2[1] (analytic) = 1.7656170606028520243813398144258 y2[1] (numeric) = 1.7698185241943448693090687699216 absolute error = 0.0042014635914928449277289554958 relative error = 0.23796006989524092099258739802695 % h = 0.001 y1[1] (analytic) = 1.6432966007323906344728030430074 y1[1] (numeric) = 1.6426859876202125465748498641681 absolute error = 0.0006106131121780878979531788393 relative error = 0.037157815083774136714266586315532 % h = 0.001 TOP MAIN SOLVE Loop memory used=2945.0MB, alloc=4.6MB, time=260.38 NO POLE NO POLE x[1] = 0.873 y2[1] (analytic) = 1.7662599742878699195383352946765 y2[1] (numeric) = 1.770485584119682155689516824369 absolute error = 0.0042256098318122361511815296925 relative error = 0.23924053612299853953103122356423 % h = 0.001 y1[1] (analytic) = 1.6425306621511170573309081665308 y1[1] (numeric) = 1.6419158355114521968651289117662 absolute error = 0.0006148266396648604657792547646 relative error = 0.037431668938201826345570927705521 % h = 0.001 TOP MAIN SOLVE Loop memory used=2948.8MB, alloc=4.6MB, time=260.58 NO POLE NO POLE x[1] = 0.874 y2[1] (analytic) = 1.7669021217129773818211400591947 y2[1] (numeric) = 1.7711519886741395444536532819152 absolute error = 0.0042498669611621626325132227205 relative error = 0.2405264507262008907588062762248 % h = 0.001 y1[1] (analytic) = 1.6417640810392348732920170782044 y1[1] (numeric) = 1.6411450166704301602828367833847 absolute error = 0.0006190643688047130091802948197 relative error = 0.037707267198393446315940130076103 % h = 0.001 TOP MAIN SOLVE Loop memory used=2952.6MB, alloc=4.6MB, time=260.78 NO POLE NO POLE x[1] = 0.875 y2[1] (analytic) = 1.7675435022360270396345754670545 y2[1] (numeric) = 1.7718177375970625077670354921996 absolute error = 0.0042742353610354681324600251451 relative error = 0.24181783111014558013306600204594 % h = 0.001 y1[1] (analytic) = 1.640996858163325130356556622796 y1[1] (numeric) = 1.6403735317526477806565131871563 absolute error = 0.0006233264106773497000434356397 relative error = 0.037984619384037313672846460857616 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2956.4MB, alloc=4.6MB, time=260.98 x[1] = 0.876 y2[1] (analytic) = 1.768184115215638423377358844013 y2[1] (numeric) = 1.7724828306294373424928019274689 absolute error = 0.0042987154137989191154430834559 relative error = 0.24311469472027636786848978299777 % h = 0.001 y1[1] (analytic) = 1.6402289942906106404990322077955 y1[1] (numeric) = 1.639601381413866236066945559491 absolute error = 0.0006276128767444044320866483045 relative error = 0.038263735059496573351720215357446 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.877 y2[1] (analytic) = 1.7688239600111986068225196354215 y2[1] (numeric) = 1.773147267513892810950888795781 absolute error = 0.0043233075026942041283691603595 relative error = 0.24441705904225951478630196981271 % h = 0.001 y1[1] (analytic) = 1.6394604901889552124452797641414 y1[1] (numeric) = 1.638828566310104897202027585245 absolute error = 0.0006319238788503152432521788964 relative error = 0.038544623833995729131625387828113 % h = 0.001 TOP MAIN SOLVE Loop memory used=2960.2MB, alloc=4.6MB, time=261.18 NO POLE NO POLE x[1] = 0.878 y2[1] (analytic) = 1.769463035982862847730272248788 y2[1] (numeric) = 1.7738110479947017809054290785167 absolute error = 0.0043480120118389331751568297287 relative error = 0.24572494160206031184727581947765 % h = 0.001 y1[1] (analytic) = 1.6386913466268628838087210090344 y1[1] (numeric) = 1.6380550870976396840712443546125 absolute error = 0.0006362595292231997374766544219 relative error = 0.038827295361807923654385094673399 % h = 0.001 TOP MAIN SOLVE Loop memory used=2964.0MB, alloc=4.6MB, time=261.39 NO POLE NO POLE x[1] = 0.879 y2[1] (analytic) = 1.7701013424915552276927049731688 y2[1] (numeric) = 1.7744741718177828647796688992327 absolute error = 0.0043728293262276370869639260639 relative error = 0.24703835996601979380594319319334 % h = 0.001 y1[1] (analytic) = 1.6379215643734771525863898745154 y1[1] (numeric) = 1.6372809444330014210805563069177 absolute error = 0.0006406199404757315058335675977 relative error = 0.039111759342442970652224117561893 % h = 0.001 TOP MAIN SOLVE Loop memory used=2967.9MB, alloc=4.6MB, time=261.58 NO POLE NO POLE x[1] = 0.88 y2[1] (analytic) = 1.770738878898969291209645130756 y2[1] (numeric) = 1.7751366387307020580977367870365 absolute error = 0.0043977598317327668880916562805 relative error = 0.24835733174093163742424003692555 % h = 0.001 y1[1] (analytic) = 1.6371511441985802080154986057221 y1[1] (numeric) = 1.6365061389729741904684547762474 absolute error = 0.0006450052256060175470438294747 relative error = 0.039398025520836142543144069956493 % h = 0.001 TOP MAIN SOLVE Loop memory used=2971.7MB, alloc=4.6MB, time=261.78 NO POLE NO POLE x[1] = 0.881 y2[1] (analytic) = 1.771375644567568683995061384847 y2[1] (numeric) = 1.7757984484826743771526020540664 absolute error = 0.0044228039151056931575406692194 relative error = 0.24968187457411924468383064459981 % h = 0.001 y1[1] (analytic) = 1.6363800868725921607913126721897 y1[1] (numeric) = 1.6357306713745936841039626179764 absolute error = 0.0006494154979984766873500542133 relative error = 0.039686103687537716567463045618576 % h = 0.001 TOP MAIN SOLVE Loop memory used=2975.5MB, alloc=4.6MB, time=261.98 NO POLE NO POLE x[1] = 0.882 y2[1] (analytic) = 1.772011638860587790513364897848 y2[1] (numeric) = 1.7764596008245654958995591633182 absolute error = 0.0044479619639777053861942654702 relative error = 0.25101200615351301143737049816896 % h = 0.001 y1[1] (analytic) = 1.6356083931665702726471042742594 y1[1] (numeric) = 1.6349545422951455536473540586868 absolute error = 0.0006538508714247189997502155726 relative error = 0.039976003678903282653236540317955 % h = 0.001 TOP MAIN SOLVE Loop memory used=2979.3MB, alloc=4.6MB, time=262.18 NO POLE NO POLE x[1] = 0.883 y2[1] (analytic) = 1.7726468611420323707449718030637 y2[1] (numeric) = 1.777120095508893382074575619969 absolute error = 0.0044732343668610113296038169053 relative error = 0.25234774420772778193998809520625 % h = 0.001 y1[1] (analytic) = 1.6348360638522081852969548645758 y1[1] (numeric) = 1.6341777523921637590743685747796 absolute error = 0.0006583114600444262225862897962 relative error = 0.040267735377284816212630303508077 % h = 0.001 TOP MAIN SOLVE Loop memory used=2983.1MB, alloc=4.6MB, time=262.38 NO POLE NO POLE x[1] = 0.884 y2[1] (analytic) = 1.7732813107766801961804902247626 y2[1] (numeric) = 1.7777799322898299325368415765092 absolute error = 0.0044986215131497363563513517466 relative error = 0.25368910650614048970329061893772 % h = 0.001 y1[1] (analytic) = 1.6340630997018351487421777418069 y1[1] (numeric) = 1.6334003023234289155646942672148 absolute error = 0.0006627973784062331774834745921 relative error = 0.040561308711222519085738936181986 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.885 y2[1] (analytic) = 1.7739149871300816850428958523849 y2[1] (numeric) = 1.7784391109232026078348599994046 absolute error = 0.0045241237931209227919641470197 relative error = 0.25503611085896798511522658314456 % h = 0.001 y1[1] (analytic) = 1.6332895014884152489421324100994 y1[1] (numeric) = 1.6326221927469666387554968612967 absolute error = 0.0006673087414486101866355488027 relative error = 0.040856733655637431862836865465686 % h = 0.001 TOP MAIN SOLVE Loop memory used=2986.9MB, alloc=4.6MB, time=262.58 NO POLE NO POLE x[1] = 0.886 y2[1] (analytic) = 1.7745478895685605367370608467703 y2[1] (numeric) = 1.7790976311664960659954169026655 absolute error = 0.0045497415979355292583560558952 relative error = 0.25638877511734505027017070101232 % h = 0.001 y1[1] (analytic) = 1.6325152699855466348502030333909 y1[1] (numeric) = 1.6318434243210458883607711212457 absolute error = 0.0006718456645007464894319121452 relative error = 0.041154020232024820830611159514025 % h = 0.001 TOP MAIN SOLVE Loop memory used=2990.7MB, alloc=4.6MB, time=262.78 NO POLE NO POLE x[1] = 0.887 y2[1] (analytic) = 1.7751800174592143655260016289292 y2[1] (numeric) = 1.7797554927788537955347718116049 absolute error = 0.0045754753196394300087701826757 relative error = 0.25774711717340260145463218875827 % h = 0.001 y1[1] (analytic) = 1.6317404059674607448157139485358 y1[1] (numeric) = 1.631063997704177310157292129462 absolute error = 0.0006764082632834346584218190738 relative error = 0.041453178508648342802558863704316 % h = 0.001 TOP MAIN SOLVE Loop memory used=2994.6MB, alloc=4.6MB, time=262.98 NO POLE NO POLE x[1] = 0.888 y2[1] (analytic) = 1.7758113701699153334332118751625 y2[1] (numeric) = 1.7804126955210797476914092782136 absolute error = 0.0046013253511644142581974030511 relative error = 0.25911115496034607973502752708509 % h = 0.001 y1[1] (analytic) = 1.6309649102090215323525558352659 y1[1] (numeric) = 1.630283913555111576337944539896 absolute error = 0.0006809966539099560146112953699 relative error = 0.041754218600734991108435508528415 % h = 0.001 TOP MAIN SOLVE Loop memory used=2998.4MB, alloc=4.6MB, time=263.18 NO POLE NO POLE x[1] = 0.889 y2[1] (analytic) = 1.7764419470693107823704478162497 y2[1] (numeric) = 1.7810692391556399678796929279702 absolute error = 0.0046272920863291855092451117205 relative error = 0.26048090645253403009500237249938 % h = 0.001 y1[1] (analytic) = 1.630188783485724691275296774293 y1[1] (numeric) = 1.629503172532837724233208573788 absolute error = 0.000685610952886967042088200505 relative error = 0.04205715067067082603241653077127 % h = 0.001 TOP MAIN SOLVE Loop memory used=3002.2MB, alloc=4.6MB, time=263.38 NO POLE NO POLE x[1] = 0.89 y2[1] (analytic) = 1.7770717475268238654903337129732 y2[1] (numeric) = 1.7817251234466642263637641765343 absolute error = 0.0046533759198403608734304635611 relative error = 0.2618563896655568695708348419851 % h = 0.001 y1[1] (analytic) = 1.6294120265736968802035530573802 y1[1] (numeric) = 1.6287217752965814934015821842323 absolute error = 0.0006902512771153868019708731479 relative error = 0.042361984928197493004479934702949 % h = 0.001 TOP MAIN SOLVE Loop memory used=3006.0MB, alloc=4.6MB, time=263.58 NO POLE NO POLE x[1] = 0.891 y2[1] (analytic) = 1.7777007709126541777631561554249 y2[1] (numeric) = 1.7823803481599476481510284136414 absolute error = 0.0046795772472934703878722582165 relative error = 0.26323762265631584483450379467458 % h = 0.001 y1[1] (analytic) = 1.6286346402496949464353952449452 y1[1] (numeric) = 1.6279397225058036610897194735509 absolute error = 0.0006949177438912853456757713943 relative error = 0.042668731630609531864436972533148 % h = 0.001 TOP MAIN SOLVE Loop memory used=3009.8MB, alloc=4.6MB, time=263.78 NO POLE NO POLE x[1] = 0.892 y2[1] (analytic) = 1.7783290165977783857772166093547 y2[1] (numeric) = 1.7830349130629523421045721106248 absolute error = 0.0047058964651739563273555012701 relative error = 0.26462462352310217967506100862467 % h = 0.001 y1[1] (analytic) = 1.6278566252911051491905655977243 y1[1] (numeric) = 1.6271570148201983760630661043376 absolute error = 0.0006996104709067731274994933867 relative error = 0.042977401082952480533028319578515 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3013.6MB, alloc=4.6MB, time=263.98 x[1] = 0.893 y2[1] (analytic) = 1.7789564839539508567621124092591 y2[1] (numeric) = 1.7836888179248090292738549673325 absolute error = 0.0047323339708581725117425580734 relative error = 0.26601741040567641283000530626958 % h = 0.001 y1[1] (analytic) = 1.6270779824759423822242836392167 y1[1] (numeric) = 1.6263736528996914908077731012452 absolute error = 0.0007043295762508914165105379715 relative error = 0.043288003638221776439566538020226 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.894 y2[1] (analytic) = 1.7795831723537042868343171749836 y2[1] (numeric) = 1.784342062516318670443021873786 absolute error = 0.0047588901626143836087046988024 relative error = 0.26741600148534792661941972414248 % h = 0.001 y1[1] (analytic) = 1.626298712582849395812417235037 y1[1] (numeric) = 1.6255896374044388921046710961435 absolute error = 0.0007090751784105037077461388935 relative error = 0.043600549697562459070741943177853 % h = 0.001 TOP MAIN SOLVE Loop memory used=3017.4MB, alloc=4.6MB, time=264.17 NO POLE NO POLE x[1] = 0.895 y2[1] (analytic) = 1.780209081170350328464432406308 y2[1] (numeric) = 1.7849946466099540928961801217357 absolute error = 0.0047855654396037644317477154277 relative error = 0.26882041498505466683669975784165 % h = 0.001 y1[1] (analytic) = 1.6255188163910960181087972039415 y1[1] (numeric) = 1.6248049689948248299760877241715 absolute error = 0.00071384739627118813270947977 relative error = 0.043915049710469677020418691227329 % h = 0.001 TOP MAIN SOLVE Loop memory used=3021.3MB, alloc=4.6MB, time=264.37 NO POLE NO POLE x[1] = 0.896 y2[1] (analytic) = 1.7808342097779802171654827883184 y2[1] (numeric) = 1.7856465699798616163989879613101 absolute error = 0.0048123602018813992335051729917 relative error = 0.27023066916944305435077154751228 % h = 0.001 y1[1] (analytic) = 1.6247382946805783758754541031468 y1[1] (numeric) = 1.6240196483314602450062915324408 absolute error = 0.000718646349118130869162570706 relative error = 0.044231514174990002935531381146852 % h = 0.001 TOP MAIN SOLVE Loop memory used=3025.1MB, alloc=4.6MB, time=264.57 NO POLE NO POLE x[1] = 0.897 y2[1] (analytic) = 1.7814585575514653974016285193201 y2[1] (numeric) = 1.7862978324018626783959012582247 absolute error = 0.0048392748503972809942727389046 relative error = 0.27164678234494808887577360954149 % h = 0.001 y1[1] (analytic) = 1.6239571482318181145865564576418 y1[1] (numeric) = 1.6232336760751810940363464167226 absolute error = 0.0007234721566370205502100409192 relative error = 0.044549953637923559768550093801072 % h = 0.001 TOP MAIN SOLVE Loop memory used=3028.9MB, alloc=4.6MB, time=264.77 NO POLE NO POLE x[1] = 0.898 y2[1] (analytic) = 1.7820821238664581477166687526331 y2[1] (numeric) = 1.7869484336534554584224256675144 absolute error = 0.0048663097869973107057569148813 relative error = 0.27306877285987364536525437210962 % h = 0.001 y1[1] (analytic) = 1.6231753778259616179068303294869 y1[1] (numeric) = 1.6224470528870466742341612543647 absolute error = 0.0007283249389149436726690751222 relative error = 0.044870378695026961762413965405974 % h = 0.001 TOP MAIN SOLVE Loop memory used=3032.7MB, alloc=4.6MB, time=264.97 NO POLE NO POLE x[1] = 0.899 y2[1] (analytic) = 1.7827049080993922050817110238177 y2[1] (numeric) = 1.7875983735138165017317224004772 absolute error = 0.0048934654144242966500113766595 relative error = 0.27449665910447296348902034306621 % h = 0.001 y1[1] (analytic) = 1.6223929842447792265452407486178 y1[1] (numeric) = 1.6216597794283379455405200539388 absolute error = 0.000733204816441281004720694679 relative error = 0.045192799991217073609340503487147 % h = 0.001 TOP MAIN SOLVE Loop memory used=3036.5MB, alloc=4.6MB, time=265.17 NO POLE NO POLE x[1] = 0.9 y2[1] (analytic) = 1.7833269096274833884613823157136 y2[1] (numeric) = 1.7882476517638023421349163224632 absolute error = 0.0049207421363189536735340067496 relative error = 0.27593045951102933065185623395429 % h = 0.001 y1[1] (analytic) = 1.6216099682706644564847161514071 y1[1] (numeric) = 1.620871856360555851491878593711 absolute error = 0.0007381119101086049928375576961 relative error = 0.04551722822077559124050029311544 % h = 0.001 TOP MAIN SOLVE Loop memory used=3040.3MB, alloc=4.6MB, time=265.37 NO POLE NO POLE x[1] = 0.901 y2[1] (analytic) = 1.7839481278287302215979581951327 y2[1] (numeric) = 1.7888962681859511240544557803136 absolute error = 0.0049481403572209024564975851809 relative error = 0.27737019255393695901442879112524 % h = 0.001 y1[1] (analytic) = 1.6208263306866332165886975971928 y1[1] (numeric) = 1.6200832843454196384207141719605 absolute error = 0.0007430463412135781679834252323 relative error = 0.045843674127554447719204905668134 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3044.1MB, alloc=4.6MB, time=265.57 x[1] = 0.902 y2[1] (analytic) = 1.7845685620819145550127872371293 y2[1] (numeric) = 1.7895442225644842237898742196451 absolute error = 0.0049756604825696687770869825158 relative error = 0.27881587674978205697778044982968 % h = 0.001 y1[1] (analytic) = 1.6200420722763230255852951561612 y1[1] (numeric) = 1.6192940640448651730342157424421 absolute error = 0.0007480082314578525510794137191 relative error = 0.046172148505182047725990109617981 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.903 y2[1] (analytic) = 1.7851882117666021872243887354735 y2[1] (numeric) = 1.790191514685307869995304313786 absolute error = 0.0050033029187056827709155783125 relative error = 0.28026753065742409559391723710117 % h = 0.001 y1[1] (analytic) = 1.619257193823992228429834484361 y1[1] (numeric) = 1.6185041961210432583721023578963 absolute error = 0.0007529977029489700577321264647 relative error = 0.046502662197270334139787292269187 % h = 0.001 TOP MAIN SOLVE Loop memory used=3048.0MB, alloc=4.6MB, time=265.77 NO POLE NO POLE x[1] = 0.904 y2[1] (analytic) = 1.7858070762631434851826024812843 y2[1] (numeric) = 1.7908381443360147633680959879952 absolute error = 0.0050310680728712781854935067109 relative error = 0.2817251728780772703660976100079 % h = 0.001 y1[1] (analytic) = 1.6184716961145192120465772232376 y1[1] (numeric) = 1.6177136812363179481443584934593 absolute error = 0.0007580148782012639022187297783 relative error = 0.046835226097622690235263735801287 % h = 0.001 TOP MAIN SOLVE Loop memory used=3051.8MB, alloc=4.6MB, time=265.96 NO POLE NO POLE x[1] = 0.905 y2[1] (analytic) = 1.7864251549526740039181701757212 y2[1] (numeric) = 1.7914841113058856955478903846413 absolute error = 0.0050589563532116916297202089201 relative error = 0.28318882205539215890353513559162 % h = 0.001 y1[1] (analytic) = 1.6176855799334016204503994819018 y1[1] (numeric) = 1.6169225200532648594496754701095 absolute error = 0.0007630598801367610007240117923 relative error = 0.047169851150442681032377454678225 % h = 0.001 TOP MAIN SOLVE Loop memory used=3055.6MB, alloc=4.6MB, time=266.16 NO POLE NO POLE x[1] = 0.906 y2[1] (analytic) = 1.787042447217115105407128827208 y2[1] (numeric) = 1.7921294153858911672255024772749 absolute error = 0.0050869681687760618183736500669 relative error = 0.28465849687553757489633810259304 % h = 0.001 y1[1] (analytic) = 1.6168988460667555692492132803878 y1[1] (numeric) = 1.6161307132346694838753888459112 absolute error = 0.0007681328320860853738244344766 relative error = 0.047506548350543637350235101185182 % h = 0.001 TOP MAIN SOLVE Loop memory used=3059.4MB, alloc=4.6MB, time=266.36 NO POLE NO POLE x[1] = 0.907 y2[1] (analytic) = 1.7876589524391745766493972688437 y2[1] (numeric) = 1.7927740563686930054609657039967 absolute error = 0.005115103929518428811568435153 relative error = 0.28613421606728261887762331147682 % h = 0.001 y1[1] (analytic) = 1.6161114953013148595279164514162 y1[1] (numeric) = 1.615338261443525496979702289776 absolute error = 0.0007732338577893625482141616402 relative error = 0.047845328743559086133462391254377 % h = 0.001 TOP MAIN SOLVE Loop memory used=3063.2MB, alloc=4.6MB, time=266.56 NO POLE NO POLE x[1] = 0.908 y2[1] (analytic) = 1.7882746700023472469609377174681 y2[1] (numeric) = 1.7934180340486459802100926532054 absolute error = 0.0051433640462987332491549357373 relative error = 0.28761599840207892624085942377459 % h = 0.001 y1[1] (analytic) = 1.6153235284244301911146571166434 y1[1] (numeric) = 1.6145451653430330661569890987623 absolute error = 0.0007783630813971249576680178811 relative error = 0.048186203426154030635496004082918 % h = 0.001 TOP MAIN SOLVE Loop memory used=3067.0MB, alloc=4.6MB, time=266.76 NO POLE NO POLE x[1] = 0.909 y2[1] (analytic) = 1.78888959929091560447887508227 y2[1] (numeric) = 1.7940613482217994200589064976975 absolute error = 0.0051717489308838155800314154275 relative error = 0.28910386269414311298161737243254 % h = 0.001 y1[1] (analytic) = 1.6145349462240683752301994710699 y1[1] (numeric) = 1.6137514255965971568869631655664 absolute error = 0.0007835206274712183432363055035 relative error = 0.048529183546237084059484381811736 % h = 0.001 TOP MAIN SOLVE Loop memory used=3070.9MB, alloc=4.6MB, time=266.96 NO POLE NO POLE x[1] = 0.91 y2[1] (analytic) = 1.7895037396899504118789575178716 y2[1] (numeric) = 1.7947039986858988271652985361892 absolute error = 0.0052002589959484152863410183176 relative error = 0.29059782780053941963403144794399 % h = 0.001 y1[1] (analytic) = 1.6137457494888115465211782261747 y1[1] (numeric) = 1.6129570428678258373685118478341 absolute error = 0.0007887066209857091526663783406 relative error = 0.048874280303173460273842713945021 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.911 y2[1] (analytic) = 1.7901170905853113213047425044789 y2[1] (numeric) = 1.7953459852403874914072678646324 absolute error = 0.0052288946550761701025253601535 relative error = 0.29209791262126255387340478818023 % h = 0.001 y1[1] (analytic) = 1.6129559390078563744780296784564 y1[1] (numeric) = 1.612162017820528581538983835228 absolute error = 0.0007939211873277929390458432284 relative error = 0.049221504947998825235945055368282 % h = 0.001 TOP MAIN SOLVE Loop memory used=3074.7MB, alloc=4.6MB, time=267.15 NO POLE NO POLE x[1] = 0.912 y2[1] (analytic) = 1.7907296513636474885078935259636 y2[1] (numeric) = 1.795987307686408103737099863203 absolute error = 0.0052576563227606152292063372394 relative error = 0.29360413609932073225752711972448 % h = 0.001 y1[1] (analytic) = 1.612165515571013274238387985384 y1[1] (numeric) = 1.6113663511187145704797257538346 absolute error = 0.0007991644522987037586622315494 relative error = 0.049570868783634012773954416302672 % h = 0.001 TOP MAIN SOLVE Loop memory used=3078.5MB, alloc=4.6MB, time=267.35 NO POLE NO POLE x[1] = 0.913 y2[1] (analytic) = 1.7913414214123981861989732056309 y2[1] (numeric) = 1.7966279658268043687408408485486 absolute error = 0.0052865444144061825418676429177 relative error = 0.29511651722081892158041073266162 % h = 0.001 y1[1] (analytic) = 1.6113744799687056167767358452946 y1[1] (numeric) = 1.6105700434265909922086618904745 absolute error = 0.0008044365421146245680739548201 relative error = 0.049922383165100608393390201488627 % h = 0.001 TOP MAIN SOLVE Loop memory used=3082.3MB, alloc=4.6MB, time=267.55 NO POLE NO POLE x[1] = 0.914 y2[1] (analytic) = 1.7919524001197934166081195489314 y2[1] (numeric) = 1.7972679594661226164024269047923 absolute error = 0.0053155593463291997943073558609 relative error = 0.29663507501504228031329282626674 % h = 0.001 y1[1] (analytic) = 1.6105828329919689384810993915234 y1[1] (numeric) = 1.6097730954085613398607120618 absolute error = 0.0008097375834075986203873297234 relative error = 0.050276059499737404791711989387685 % h = 0.001 TOP MAIN SOLVE Loop memory used=3086.1MB, alloc=4.6MB, time=267.75 NO POLE NO POLE x[1] = 0.915 y2[1] (analytic) = 1.7925625868748545232549927324916 y2[1] (numeric) = 1.7979072884106134130718255708959 absolute error = 0.0053447015357588898168328384043 relative error = 0.29815982855453980060889854714475 % h = 0.001 y1[1] (analytic) = 1.609790575432450150117577724003 y1[1] (numeric) = 1.608975507729223708256843294718 absolute error = 0.000815067703226441860734429285 relative error = 0.050631909247417732780959758193998 % h = 0.001 TOP MAIN SOLVE Loop memory used=3089.9MB, alloc=4.6MB, time=267.95 NO POLE NO POLE x[1] = 0.916 y2[1] (analytic) = 1.7931719810673948019273806695674 y2[1] (numeric) = 1.7985459524682331716365497262933 absolute error = 0.0053739714008383697091690567259 relative error = 0.2996907969552081513461092616598 % h = 0.001 y1[1] (analytic) = 1.6089977080824067451834981137382 y1[1] (numeric) = 1.6081772810533690888625516256654 absolute error = 0.0008204270290376563209464880728 relative error = 0.050989943920767671335333715127298 % h = 0.001 TOP MAIN SOLVE Loop memory used=3093.7MB, alloc=4.6MB, time=268.15 NO POLE NO POLE x[1] = 0.917 y2[1] (analytic) = 1.7937805820880201108678523733656 y2[1] (numeric) = 1.7991839514486457608959036812031 absolute error = 0.0054033693606256500280513078375 relative error = 0.30122799937637572269333486800686 % h = 0.001 y1[1] (analytic) = 1.6082042317347060076499885269339 y1[1] (numeric) = 1.6073784160459796631365709665918 absolute error = 0.0008258156887263445134175603421 relative error = 0.051350175085385140497522300646393 % h = 0.001 TOP MAIN SOLVE Loop memory used=3097.6MB, alloc=4.6MB, time=268.36 NO POLE NO POLE x[1] = 0.918 y2[1] (analytic) = 1.7943883893281294801678489316321 y2[1] (numeric) = 1.7998212851632241141373221427255 absolute error = 0.0054328958350946339694732110934 relative error = 0.30277145502088687267004726779805 % h = 0.001 y1[1] (analytic) = 1.6074101471828242190947597261393 y1[1] (numeric) = 1.6065789133722270942706066251641 absolute error = 0.0008312338105971248241531009752 relative error = 0.051712614360059880894595156383261 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3101.4MB, alloc=4.6MB, time=268.56 x[1] = 0.919 y2[1] (analytic) = 1.7949954021799157203686026984643 y2[1] (numeric) = 1.8004579534250518369141633927145 absolute error = 0.0054625512451361165455606942502 relative error = 0.30432118313518637618709449012317 % h = 0.001 y1[1] (analytic) = 1.6066154552208458652258898155579 y1[1] (numeric) = 1.6057787736974708173208917057049 absolute error = 0.000836681523375047904998109853 relative error = 0.052077273416994323631369301442838 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.92 y2[1] (analytic) = 1.7956016200363660302682761024816 y2[1] (numeric) = 1.801093956048924814024318678493 absolute error = 0.0054923360125587837560425760114 relative error = 0.30587720300940407704758139967073 % h = 0.001 y1[1] (analytic) = 1.6058201566434628417974047066744 y1[1] (numeric) = 1.6049779976872563277323652557076 absolute error = 0.0008421589562065140650394509668 relative error = 0.052444163982025354346331897730524 % h = 0.001 TOP MAIN SOLVE Loop memory used=3105.2MB, alloc=4.6MB, time=268.75 NO POLE NO POLE x[1] = 0.921 y2[1] (analytic) = 1.7962070422912626039347122642647 y2[1] (numeric) = 1.801729292851352815689000482744 absolute error = 0.0055222505600902117542882184793 relative error = 0.3074395339774397433912734332024 % h = 0.001 y1[1] (analytic) = 1.6050242522459736599174485885512 y1[1] (numeric) = 1.6041765860073134682562716604381 absolute error = 0.0008476662386601916611769281131 relative error = 0.052813297834846975232462242914243 % h = 0.001 TOP MAIN SOLVE Loop memory used=3109.0MB, alloc=4.6MB, time=268.95 NO POLE NO POLE x[1] = 0.922 y2[1] (analytic) = 1.7968116683391832369231904103635 y2[1] (numeric) = 1.8023639636505611029310730043638 absolute error = 0.0055522953113778660078825940003 relative error = 0.30900819541704812706665440241957 % h = 0.001 y1[1] (analytic) = 1.6042277428242826507498390945582 y1[1] (numeric) = 1.6033745393235547142619814251327 absolute error = 0.0008532035007279364878576694255 relative error = 0.053184686809233868842639455657312 % h = 0.001 TOP MAIN SOLVE Loop memory used=3112.8MB, alloc=4.6MB, time=269.15 NO POLE NO POLE x[1] = 0.923 y2[1] (analytic) = 1.797415497575501931698579866169 y2[1] (numeric) = 1.8029979682664920321522888476991 absolute error = 0.0055824706909901004537089815301 relative error = 0.31058320674992422741594808394085 % h = 0.001 y1[1] (analytic) = 1.6034306291748991696098024639136 y1[1] (numeric) = 1.602571858302073457443834120639 absolute error = 0.0008587708728257121659683432746 relative error = 0.053558342793265867516751159077923 % h = 0.001 TOP MAIN SOLVE Loop memory used=3116.6MB, alloc=4.6MB, time=269.35 NO POLE NO POLE x[1] = 0.924 y2[1] (analytic) = 1.7980185293963895022612872055464 y2[1] (numeric) = 1.8036313065208066589087965834138 absolute error = 0.0056127771244171566475093778674 relative error = 0.312164587441788759959596096836 % h = 0.001 y1[1] (analytic) = 1.6026329120949367994546846022351 y1[1] (numeric) = 1.6017685436091422879238049040145 absolute error = 0.0008643684857945115308796982206 relative error = 0.053934277729553332285132776168 % h = 0.001 TOP MAIN SOLVE Loop memory used=3120.4MB, alloc=4.6MB, time=269.55 NO POLE NO POLE x[1] = 0.925 y2[1] (analytic) = 1.7986207631988141779763919313308 y2[1] (numeric) = 1.8042639782368863408842845102305 absolute error = 0.0056432150380721629078925788997 relative error = 0.31375235700247383046787145233698 % h = 0.001 y1[1] (analytic) = 1.6018345923821125537704345503238 y1[1] (numeric) = 1.6009645959112112747507966606022 absolute error = 0.0008699964709012790196378897216 relative error = 0.054312503615463445120567277377704 % h = 0.001 TOP MAIN SOLVE Loop memory used=3124.3MB, alloc=4.6MB, time=269.74 NO POLE NO POLE x[1] = 0.926 y2[1] (analytic) = 1.7992221983805422066053668576022 y2[1] (numeric) = 1.804895983239834340060126612978 absolute error = 0.0056737848592921334547597553758 relative error = 0.31534653498600881490849815709035 % h = 0.001 y1[1] (analytic) = 1.6010356708347460788546574746306 y1[1] (numeric) = 1.6001600158749062447973604484409 absolute error = 0.0008756549598398340572970261897 relative error = 0.054693032503347418428761821731283 % h = 0.001 TOP MAIN SOLVE Loop memory used=3128.1MB, alloc=4.6MB, time=269.94 NO POLE NO POLE x[1] = 0.927 y2[1] (analytic) = 1.7998228343401384565397801620681 y2[1] (numeric) = 1.8055273213564774240818973787344 absolute error = 0.0057044870163389675421172166663 relative error = 0.31694714099070644576034236861385 % h = 0.001 y1[1] (analytic) = 1.6002361482517588554970348962863 y1[1] (numeric) = 1.5993548041670270600546475595374 absolute error = 0.0008813440847317954423873367489 relative error = 0.055075876500768625684991167005675 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3131.9MB, alloc=4.6MB, time=270.14 x[1] = 0.928 y2[1] (analytic) = 1.8004226704769670182363768749028 y2[1] (numeric) = 1.8061579924153674668216227993951 absolute error = 0.0057353219384004485852459244923 relative error = 0.31855419465924910518443984733334 % h = 0.001 y1[1] (analytic) = 1.5994360254326734000579104782075 y1[1] (numeric) = 1.5985489614545458933263971455351 absolute error = 0.0008870639781275067315133326724 relative error = 0.055461047770731657142458451789746 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.929 y2[1] (analytic) = 1.8010217061911918048529383690117 y2[1] (numeric) = 1.8067879962467830481351355557071 absolute error = 0.0057662900555912432821971866954 relative error = 0.32016771567877532554482783191795 % h = 0.001 y1[1] (analytic) = 1.5986353031776124649458402916272 y1[1] (numeric) = 1.5977424884046055023227639876493 absolute error = 0.0008928147730069626230763039779 relative error = 0.055848558531912304555872437065235 % h = 0.001 TOP MAIN SOLVE Loop memory used=3135.7MB, alloc=4.6MB, time=270.34 NO POLE NO POLE x[1] = 0.93 y2[1] (analytic) = 1.8016199408837771520843192159106 y2[1] (numeric) = 1.8074173326827310528139030446968 absolute error = 0.0057973917989539007295838287862 relative error = 0.32178772378096649777285699160946 % h = 0.001 y1[1] (analytic) = 1.597833982287298238494907084433 y1[1] (numeric) = 1.5969353856845175021547916224137 absolute error = 0.0008985966027807363401154620193 relative error = 0.056238421058888478881777002230132 % h = 0.001 TOP MAIN SOLVE Loop memory used=3139.5MB, alloc=4.6MB, time=270.54 NO POLE NO POLE x[1] = 0.931 y2[1] (analytic) = 1.8022173739564884171980615712348 y2[1] (numeric) = 1.8080460015569482687306975794758 absolute error = 0.005828627600459851532636008241 relative error = 0.32341423874213378806987078892279 % h = 0.001 y1[1] (analytic) = 1.5970320635630515442425986739304 y1[1] (numeric) = 1.5961276539617606362303366657848 absolute error = 0.0009044096012909080122620081456 relative error = 0.056630647682372064935294089824514 % h = 0.001 TOP MAIN SOLVE Loop memory used=3143.3MB, alloc=4.6MB, time=270.74 NO POLE NO POLE x[1] = 0.932 y2[1] (analytic) = 1.802814004811892577268988054311 y2[1] (numeric) = 1.808674002704902984178478757636 absolute error = 0.005859997893010406909490703325 relative error = 0.32504728038330526344435542718089 % h = 0.001 y1[1] (analytic) = 1.5962295478067910396090511860886 y1[1] (numeric) = 1.5953192939039790455522508084897 absolute error = 0.0009102539028119940568003775989 relative error = 0.057025250789441717001155855793956 % h = 0.001 TOP MAIN SOLVE Loop memory used=3147.1MB, alloc=4.6MB, time=270.94 NO POLE NO POLE x[1] = 0.933 y2[1] (analytic) = 1.8034098328533588266121748872515 y2[1] (numeric) = 1.8093013359637965844018586618414 absolute error = 0.0058915031104377577896837745899 relative error = 0.32668686857031322658088356732941 % h = 0.001 y1[1] (analytic) = 1.5954264358210324139784584619569 y1[1] (numeric) = 1.5945103061789805364196275851727 absolute error = 0.0009161296420518775588308767842 relative error = 0.05742224282377659941520598148653 % h = 0.001 TOP MAIN SOLVE Loop memory used=3151.0MB, alloc=4.6MB, time=271.15 NO POLE NO POLE x[1] = 0.934 y2[1] (analytic) = 1.8040048574850591734137078606457 y2[1] (numeric) = 1.8099280011725651473205212237839 absolute error = 0.0059231436875059739068133631382 relative error = 0.32833302321388176053939918650664 % h = 0.001 y1[1] (analytic) = 1.5946227284088875861834495497756 y1[1] (numeric) = 1.5937006914547348465329216488983 absolute error = 0.0009220369541527396505279008773 relative error = 0.05782163628589107615094441736802 % h = 0.001 TOP MAIN SOLVE Loop memory used=3154.8MB, alloc=4.6MB, time=271.35 NO POLE NO POLE x[1] = 0.935 y2[1] (analytic) = 1.8045990781119690355586244951433 y2[1] (numeric) = 1.8105539981718810384439677503976 absolute error = 0.0059549200599120028853432552543 relative error = 0.32998576426971448378461932472819 % h = 0.001 y1[1] (analytic) = 1.5938184263740639013932367983387 y1[1] (numeric) = 1.5928904503993719095037489109034 absolute error = 0.0009279759746919918894878874353 relative error = 0.05822344373337035346417473569444 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3158.6MB, alloc=4.6MB, time=271.55 x[1] = 0.936 y2[1] (analytic) = 1.8051924941398678356554465710368 y2[1] (numeric) = 1.8111793268041545049769612791126 absolute error = 0.0059868326642866693215147080758 relative error = 0.33164511173858251604656103439434 % h = 0.001 y1[1] (analytic) = 1.5930135305208633274063376633907 y1[1] (numeric) = 1.5920795836811801177701765331589 absolute error = 0.0009339468396832096361611302318 relative error = 0.058627677781107079667389252068431 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.937 y2[1] (analytic) = 1.8057851049753395952567080013595 y2[1] (numeric) = 1.8118039869135352691150430969825 absolute error = 0.006018881938195673858335095623 relative error = 0.3333110856664126555144386190126 % h = 0.001 y1[1] (analytic) = 1.5922080416541816503486739342715 y1[1] (numeric) = 1.5912680919686045839183123882999 absolute error = 0.0009399496855770664303615459716 relative error = 0.059034351101538906124194619964704 % h = 0.001 TOP MAIN SOLVE Loop memory used=3162.4MB, alloc=4.6MB, time=271.75 NO POLE NO POLE x[1] = 0.938 y2[1] (analytic) = 1.8063769100257735282748838280223 y2[1] (numeric) = 1.8124279783459141205294954267246 absolute error = 0.0060510683201405922546115987023 relative error = 0.33498370614437576786741723014179 % h = 0.001 y1[1] (analytic) = 1.5914019605795076697778526826406 y1[1] (numeric) = 1.5904559759302454004110042278149 absolute error = 0.0009459846492622693668484548257 relative error = 0.059443476424887013572840194405347 % h = 0.001 TOP MAIN SOLVE Loop memory used=3166.2MB, alloc=4.6MB, time=271.95 NO POLE NO POLE x[1] = 0.939 y2[1] (analytic) = 1.8069679086993646335931269251073 y2[1] (numeric) = 1.8130513009489245080411249510821 absolute error = 0.0060833922495598744479980259748 relative error = 0.3366629933089753876469540951435 % h = 0.001 y1[1] (analytic) = 1.590595288102922393194433828935 y1[1] (numeric) = 1.5896432362348558977244594250465 absolute error = 0.0009520518680664954699744038885 relative error = 0.059855066539395607906763592991439 % h = 0.001 TOP MAIN SOLVE Loop memory used=3170.0MB, alloc=4.6MB, time=272.15 NO POLE NO POLE x[1] = 0.94 y2[1] (analytic) = 1.8075581004051142868702197986342 y2[1] (numeric) = 1.8136739545719441304822425154377 absolute error = 0.0061158541668298436120227168035 relative error = 0.33834896734213653247670807984132 % h = 0.001 y1[1] (analytic) = 1.589788025031098229960989815224 y1[1] (numeric) = 1.5888298735513409008935967845517 absolute error = 0.0009581514797573290673930306723 relative error = 0.06026913429157238955901304644866 % h = 0.001 TOP MAIN SOLVE Loop memory used=3173.9MB, alloc=4.6MB, time=272.35 NO POLE NO POLE x[1] = 0.941 y2[1] (analytic) = 1.8081474845528308315391496778929 y2[1] (numeric) = 1.8142959390660965267462150172855 absolute error = 0.0061484545132656952070653393926 relative error = 0.34004164847129473063725196015726 % h = 0.001 y1[1] (analytic) = 1.5889801721712981846297634653354 y1[1] (numeric) = 1.5880158885487549844669425336951 absolute error = 0.0009642836225432001628209316403 relative error = 0.060685692586430000656444824293832 % h = 0.001 TOP MAIN SOLVE Loop memory used=3177.7MB, alloc=4.6MB, time=272.54 NO POLE NO POLE x[1] = 0.942 y2[1] (analytic) = 1.8087360605531301689987158998209 y2[1] (numeric) = 1.8149172542842526650239661599971 absolute error = 0.0061811937311224960252502601762 relative error = 0.34174105696948526250407969213627 % h = 0.001 y1[1] (analytic) = 1.5881717303313750496797307045275 y1[1] (numeric) = 1.5872012818963007258718832360042 absolute error = 0.0009704484350743238078474685233 relative error = 0.061104754387728454128726742349487 % h = 0.001 TOP MAIN SOLVE Loop memory used=3181.5MB, alloc=4.6MB, time=272.74 NO POLE NO POLE x[1] = 0.943 y2[1] (analytic) = 1.8093238278174363479975793948635 y2[1] (numeric) = 1.8155379000810325312268034172969 absolute error = 0.0062140722635961832292240224334 relative error = 0.34344721315543261635866314115144 % h = 0.001 y1[1] (analytic) = 1.5873627003197705976638754015769 y1[1] (numeric) = 1.5863860542633269571910889888059 absolute error = 0.000976646056443640472786412771 relative error = 0.061526332718218548976406009840397 % h = 0.001 TOP MAIN SOLVE Loop memory used=3185.3MB, alloc=4.6MB, time=272.94 NO POLE NO POLE x[1] = 0.944 y2[1] (analytic) = 1.8099107857579821532101648903185 y2[1] (numeric) = 1.8161578763128067165949492239903 absolute error = 0.0062470905548245633847843336718 relative error = 0.34516013739364015908357916573933 % h = 0.001 y1[1] (analytic) = 1.58655308294551477276748418594 y1[1] (numeric) = 1.5855702063193270153509208899815 absolute error = 0.0009828766261877574165632959585 relative error = 0.061950440659886275921621959704189 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3189.1MB, alloc=4.6MB, time=273.13 x[1] = 0.945 y2[1] (analytic) = 1.8104969337878096930038272553123 y2[1] (numeric) = 1.8167771828376980044911550777642 absolute error = 0.0062802490498883114873278224519 relative error = 0.34687985009448002225399865955721 % h = 0.001 y1[1] (analytic) = 1.5857428790182248817782696816264 y1[1] (numeric) = 1.5847537387339369907226373803265 absolute error = 0.0009891402842878910556323012999 relative error = 0.062377091354198217684462034146253 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.946 y2[1] (analytic) = 1.8110822713207709863966942202884 y2[1] (numeric) = 1.8173958195155829563787779062999 absolute error = 0.0063135481948119699820836860115 relative error = 0.34860637171428320413910414490513 % h = 0.001 y1[1] (analytic) = 1.5849320893481047844691311875929 y1[1] (numeric) = 1.5839366521769339741372146889839 absolute error = 0.000995437171170810331916498609 relative error = 0.062806298002347948147473278741299 % h = 0.001 TOP MAIN SOLVE Loop memory used=3192.9MB, alloc=4.6MB, time=273.34 NO POLE NO POLE x[1] = 0.947 y2[1] (analytic) = 1.8116667977715285492055985132169 y2[1] (numeric) = 1.8180137862080934969836987235029 absolute error = 0.006346988436564947778100210286 relative error = 0.35033972275542988812828179188726 % h = 0.001 y1[1] (analytic) = 1.5841207147459440833943624218299 y1[1] (numeric) = 1.583118947318234302314597229729 absolute error = 0.0010017674277097810797651921009 relative error = 0.063238073865503434690452046702435 % h = 0.001 TOP MAIN SOLVE Loop memory used=3196.7MB, alloc=4.6MB, time=273.53 NO POLE NO POLE x[1] = 0.948 y2[1] (analytic) = 1.8122505125555559793835132646391 y2[1] (numeric) = 1.8186310827786184986394642683614 absolute error = 0.0063805702230625192559510037223 relative error = 0.3520799237664399780982173185753 % h = 0.001 y1[1] (analytic) = 1.5833087560231173131001165328662 y1[1] (numeric) = 1.5823006248278918017081944155252 absolute error = 0.001008131195225511391922117341 relative error = 0.063672432265055447997342146441559 % h = 0.001 TOP MAIN SOLVE Loop memory used=3200.6MB, alloc=4.6MB, time=273.73 NO POLE NO POLE x[1] = 0.949 y2[1] (analytic) = 1.8128334150891385415459053441629 y2[1] (numeric) = 1.8192477090923053648150329897905 absolute error = 0.0064142940031668232691276456276 relative error = 0.35382699534206385123831311740546 % h = 0.001 y1[1] (analytic) = 1.5824962139915831287499391681575 y1[1] (numeric) = 1.5814816853760960307654409777433 absolute error = 0.0010145286154870979844981904142 relative error = 0.06410938658286698365687679943443 % h = 0.001 TOP MAIN SOLVE Loop memory used=3204.4MB, alloc=4.6MB, time=273.93 NO POLE NO POLE x[1] = 0.95 y2[1] (analytic) = 1.8134155047893737506854221021026 y2[1] (numeric) = 1.8198636650160616128245074108055 absolute error = 0.0064481602266878621390853087029 relative error = 0.35558095812337332885313616203572 % h = 0.001 y1[1] (analytic) = 1.5816830894638834941661809737605 y1[1] (numeric) = 1.5806621296331705206052384947369 absolute error = 0.0010209598307129735609424790236 relative error = 0.064548950261523699898503035254742 % h = 0.001 TOP MAIN SOLVE Loop memory used=3208.2MB, alloc=4.6MB, time=274.14 NO POLE NO POLE x[1] = 0.951 y2[1] (analytic) = 1.8139967810741719550743278016264 y2[1] (numeric) = 1.8204789504185564557182355754879 absolute error = 0.0064821693443845006439077738615 relative error = 0.3573418327978528656619027850637 % h = 0.001 y1[1] (analytic) = 1.5808693832531428692881014838095 y1[1] (numeric) = 1.5798419582695710141130964520985 absolute error = 0.001027424983571855175005031711 relative error = 0.064991136804585375825129060495137 % h = 0.001 TOP MAIN SOLVE Loop memory used=3212.0MB, alloc=4.6MB, time=274.34 NO POLE NO POLE x[1] = 0.952 y2[1] (analytic) = 1.8145772433622569183541068390228 y2[1] (numeric) = 1.8210935651702223833546649524651 absolute error = 0.0065163218079654650005581134423 relative error = 0.35910964009949095811630729067601 % h = 0.001 y1[1] (analytic) = 1.580055096173067397047476941627 y1[1] (numeric) = 1.5790211719558837034547917738832 absolute error = 0.0010339242171836935926851677438 relative error = 0.065435959776838394524336228150985 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3215.8MB, alloc=4.6MB, time=274.54 x[1] = 0.953 y2[1] (analytic) = 1.815156891073166400811651662531 y2[1] (numeric) = 1.8217075091432567426523328390142 absolute error = 0.0065506180700903418406811764832 relative error = 0.3608844008088717722593065861788 % h = 0.001 y1[1] (analytic) = 1.5792402290379440896625251767901 y1[1] (numeric) = 1.5781997713628234660093663803766 absolute error = 0.0010404576751206236531587964135 relative error = 0.065883432804549255459898034189182 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.954 y2[1] (analytic) = 1.8157357236272527398414541135974 y2[1] (numeric) = 1.8223207822116233170213779804199 absolute error = 0.0065850585843705771799238668225 relative error = 0.36266613575326699164878259199615 % h = 0.001 y1[1] (analytic) = 1.5784247826626400143509612441614 y1[1] (numeric) = 1.5773777571612320987222829436052 absolute error = 0.0010470255014079156286783005562 relative error = 0.066333569575719120565749614162028 % h = 0.001 TOP MAIN SOLVE Loop memory used=3219.6MB, alloc=4.6MB, time=274.74 NO POLE NO POLE x[1] = 0.955 y2[1] (analytic) = 1.8163137404456834295932197284128 y2[1] (numeric) = 1.8229333842510539049739587898691 absolute error = 0.0066196438053704753807390614563 relative error = 0.36445486580672788587131813123451 % h = 0.001 y1[1] (analytic) = 1.5776087578626014784629981117605 y1[1] (numeric) = 1.5765551300220765508795596267372 absolute error = 0.0010536278405249275834384850233 relative error = 0.066786383840339398484953041856029 % h = 0.001 TOP MAIN SOLVE Loop memory used=3223.4MB, alloc=4.6MB, time=274.94 NO POLE NO POLE x[1] = 0.956 y2[1] (analytic) = 1.8168909409504416998043253521668 y2[1] (numeric) = 1.8235453151390498979129642249409 absolute error = 0.0066543741886081981086388727741 relative error = 0.36625061189017760017264031560436 % h = 0.001 y1[1] (analytic) = 1.5767921554538532140351072644082 y1[1] (numeric) = 1.5757318906164471553037052078012 absolute error = 0.001060264837406058731402056607 relative error = 0.067241889410648371416706885326821 % h = 0.001 TOP MAIN SOLVE Loop memory used=3227.3MB, alloc=4.6MB, time=275.13 NO POLE NO POLE x[1] = 0.957 y2[1] (analytic) = 1.8174673245643270938165412336083 y2[1] (numeric) = 1.8241565747548838570984040476556 absolute error = 0.0066892501905567632818628140473 relative error = 0.36805339497150366673260814535568 % h = 0.001 y1[1] (analytic) = 1.5759749762529975617653546693133 y1[1] (numeric) = 1.5749080396155558579722766017584 absolute error = 0.0010669366374417037930780675549 relative error = 0.067700100161388869055053496912267 % h = 0.001 TOP MAIN SOLVE Loop memory used=3231.1MB, alloc=4.6MB, time=275.34 NO POLE NO POLE x[1] = 0.958 y2[1] (analytic) = 1.8180428907109560457764395832387 y2[1] (numeric) = 1.8247671629796010897908658660758 absolute error = 0.0067242722686450440144262828371 relative error = 0.36986323606565073811394813558169 % h = 0.001 y1[1] (analytic) = 1.5751572210772136544111281281996 y1[1] (numeric) = 1.5740835776907344460598814079016 absolute error = 0.001073643386479208351246720298 relative error = 0.068161030030066994123644950503959 % h = 0.001 TOP MAIN SOLVE Loop memory used=3234.9MB, alloc=4.6MB, time=275.54 NO POLE NO POLE x[1] = 0.959 y2[1] (analytic) = 1.8186176388147624570189123947776 y2[1] (numeric) = 1.825377079696021224571427026602 absolute error = 0.0067594408812587675525146318244 relative error = 0.37168015623471354341527327981963 % h = 0.001 y1[1] (analytic) = 1.5743388907442565996100726181766 y1[1] (numeric) = 1.5732585055134327744044487218213 absolute error = 0.0010803852308238252056238963553 relative error = 0.068624693017211904031738941056362 % h = 0.001 TOP MAIN SOLVE Loop memory used=3238.7MB, alloc=4.6MB, time=275.74 NO POLE NO POLE x[1] = 0.96 y2[1] (analytic) = 1.8191915683009982716332221464304 y2[1] (numeric) = 1.8259863247887397858374100973784 absolute error = 0.006794756487741514204187950948 relative error = 0.37350417658803006766025657433042 % h = 0.001 y1[1] (analytic) = 1.5735199860724566621250508003519 y1[1] (numeric) = 1.5724328237552169903985920627735 absolute error = 0.0010871623172396717264587375784 relative error = 0.069091103186636653197509882274716 % h = 0.001 TOP MAIN SOLVE Loop memory used=3242.5MB, alloc=4.6MB, time=275.94 NO POLE NO POLE x[1] = 0.961 y2[1] (analytic) = 1.8197646785957340512110098159569 y2[1] (numeric) = 1.8265948981441297674733713546136 absolute error = 0.0068302195483957162623615386567 relative error = 0.37533531828227495495617066198779 % h = 0.001 y1[1] (analytic) = 1.5727005078807184455139464511542 y1[1] (numeric) = 1.5716065330877677573068888782082 absolute error = 0.001093974792950688207057572946 relative error = 0.06956027466570010060577843436302 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3246.3MB, alloc=4.6MB, time=276.14 x[1] = 0.962 y2[1] (analytic) = 1.820336969125859548775685461578 y2[1] (numeric) = 1.8272027996503432056967123551308 absolute error = 0.0068658305244836569210268935528 relative error = 0.37717360252155313595634992422306 % h = 0.001 y1[1] (analytic) = 1.5718804569885200732251291464982 y1[1] (numeric) = 1.5707796341828784760099016974701 absolute error = 0.0011008228056415972152274490281 relative error = 0.0700322216455698871883853256036 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.963 y2[1] (analytic) = 1.8209084393190842818926274393802 y2[1] (numeric) = 1.8278100291973127510773053500832 absolute error = 0.006901589878228469184677910703 relative error = 0.37901905055749368016248056151046 % h = 0.001 y1[1] (analytic) = 1.5710598342159123691193991032558 y1[1] (numeric) = 1.5699521277124535051757666162638 absolute error = 0.001107706503458863943632486992 relative error = 0.07050695838148648763666316117457 % h = 0.001 TOP MAIN SOLVE Loop memory used=3250.1MB, alloc=4.6MB, time=276.33 NO POLE NO POLE x[1] = 0.964 y2[1] (analytic) = 1.8214790886039381049596171470655 y2[1] (numeric) = 1.8284165866767532397305239665091 absolute error = 0.0069374980728151347709068194436 relative error = 0.38087168368934387360397786890848 % h = 0.001 y1[1] (analytic) = 1.5702386403835180374192316560228 y1[1] (numeric) = 1.5691240143485063798601754023846 absolute error = 0.0011146260350116575590562536382 relative error = 0.070984499193028341276793507730466 % h = 0.001 TOP MAIN SOLVE Loop memory used=3254.0MB, alloc=4.6MB, time=276.53 NO POLE NO POLE x[1] = 0.965 y2[1] (analytic) = 1.8220489164097717806769370036593 y2[1] (numeric) = 1.8290224719821632636830712552487 absolute error = 0.0069735555723914830061342515894 relative error = 0.38273152326406352243306804215085 % h = 0.001 y1[1] (analytic) = 1.5694168763125308420861414198663 y1[1] (numeric) = 1.5682952947631580285355781214548 absolute error = 0.0011215815493728135505632984115 relative error = 0.071464858464378066660276471113763 % h = 0.001 TOP MAIN SOLVE Loop memory used=3257.8MB, alloc=4.6MB, time=276.73 NO POLE NO POLE x[1] = 0.966 y2[1] (analytic) = 1.8226179221667575506965601951263 y2[1] (numeric) = 1.8296276850088267404109978757033 absolute error = 0.007009762842069189714437680577 relative error = 0.38459859067641948297555445226214 % h = 0.001 y1[1] (analytic) = 1.5685945428247147856269867616215 y1[1] (numeric) = 1.5674659696286349885504337889683 absolute error = 0.0011285731960797970765529726532 relative error = 0.071948050644589764543286821511108 % h = 0.001 TOP MAIN SOLVE Loop memory used=3261.6MB, alloc=4.6MB, time=276.93 NO POLE NO POLE x[1] = 0.967 y2[1] (analytic) = 1.8231861053058897054498615367527 y2[1] (numeric) = 1.8302322256538144815493038599861 absolute error = 0.0070461203479247760994423232334 relative error = 0.38647290736908041877861541287701 % h = 0.001 y1[1] (analytic) = 1.5677716407424032873300357733647 y1[1] (numeric) = 1.566636039617267620019337161843 absolute error = 0.0011356011251356673106986115217 relative error = 0.072434090247857413950345040271952 % h = 0.001 TOP MAIN SOLVE Loop memory used=3265.4MB, alloc=4.6MB, time=277.13 NO POLE NO POLE x[1] = 0.968 y2[1] (analytic) = 1.8237534652589851531532796246302 y2[1] (numeric) = 1.8308360938159857607725180711858 absolute error = 0.0070826285570006076192384465556 relative error = 0.38835449483271178519835204440535 % h = 0.001 y1[1] (analytic) = 1.5669481708884983609316155119276 y1[1] (numeric) = 1.5658055054014883181448503888993 absolute error = 0.0011426654870100427867651230283 relative error = 0.072922991853784366039494046202635 % h = 0.001 TOP MAIN SOLVE Loop memory used=3269.2MB, alloc=4.6MB, time=277.33 NO POLE NO POLE x[1] = 0.969 y2[1] (analytic) = 1.8243200014586839879913612706282 y2[1] (numeric) = 1.8314392893959898808456501427431 absolute error = 0.0071192879373058928542888721149 relative error = 0.39024337460607104207118092315638 % h = 0.001 y1[1] (analytic) = 1.5661241340864697917141668377364 y1[1] (numeric) = 1.5649743676538297239718688452333 absolute error = 0.0011497664326400677422979925031 relative error = 0.073414770107653940508043388828216 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3273.0MB, alloc=4.6MB, time=277.53 x[1] = 0.97 y2[1] (analytic) = 1.8248857133384500574766200378563 y2[1] (numeric) = 1.832041812296267739844910358322 absolute error = 0.0071560989578176823682903204657 relative error = 0.39213956827610309501454680216883 % h = 0.001 y1[1] (analytic) = 1.5652995311603543130365277548499 y1[1] (numeric) = 1.5641426270469229335753510803301 absolute error = 0.0011569041134313794611766745198 relative error = 0.073909439720701129299922958079245 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.971 y2[1] (analytic) = 1.8254506003325715289856415168064 y2[1] (numeric) = 1.8326436624210533965475936040388 absolute error = 0.0071930620884818675619520872324 relative error = 0.39404309747803596590381581365996 % h = 0.001 y1[1] (analytic) = 1.5644743629347547822972687218476 y1[1] (numeric) = 1.5633102842534957056822434139669 absolute error = 0.0011640786812590766150253078807 relative error = 0.074407015470385412397778344713302 % h = 0.001 TOP MAIN SOLVE Loop memory used=3276.8MB, alloc=4.6MB, time=277.73 NO POLE NO POLE x[1] = 0.972 y2[1] (analytic) = 1.8260146618761614554708688061158 y2[1] (numeric) = 1.8332448396763756349905241974952 absolute error = 0.0072301778002141795196553913794 relative error = 0.39595398389547669307359922174491 % h = 0.001 y1[1] (analytic) = 1.5636486302348393563319039701617 y1[1] (numeric) = 1.5624773399463706677284303174869 absolute error = 0.0011712902884686886034736526748 relative error = 0.074907512200664690505140485490974 % h = 0.001 TOP MAIN SOLVE Loop memory used=3280.7MB, alloc=4.6MB, time=277.93 NO POLE NO POLE x[1] = 0.973 y2[1] (analytic) = 1.8265778974051583403475024862134 y2[1] (numeric) = 1.8338453439700595281964590707394 absolute error = 0.007267446564901187848956584526 relative error = 0.39787224926050746179315199827414 % h = 0.001 y1[1] (analytic) = 1.5628223338863406662448034325732 y1[1] (numeric) = 1.561643794798463520351542320885 absolute error = 0.0011785390878771458932611116882 relative error = 0.075410944822270339446313739347509 % h = 0.001 TOP MAIN SOLVE Loop memory used=3284.5MB, alloc=4.6MB, time=278.13 NO POLE NO POLE x[1] = 0.974 y2[1] (analytic) = 1.8271403063563267015549501989961 y2[1] (numeric) = 1.8344451752117280010678474570556 absolute error = 0.0073048688554012995128972580595 relative error = 0.39979791535378196556688925541247 % h = 0.001 y1[1] (analytic) = 1.5619954747155549916766304498929 y1[1] (numeric) = 1.5608096494827812403204537883329 absolute error = 0.00118582523277375135617666156 relative error = 0.075917328312983391134049665218713 % h = 0.001 TOP MAIN SOLVE Loop memory used=3288.3MB, alloc=4.6MB, time=278.33 NO POLE NO POLE x[1] = 0.975 y2[1] (analytic) = 1.8277018881672576347922617721328 y2[1] (numeric) = 1.8350443333128033924473459043501 absolute error = 0.0073424451455457576550841322173 relative error = 0.40173100400462199881246689612813 % h = 0.001 y1[1] (analytic) = 1.5611680535493414345081309883184 y1[1] (numeric) = 1.5599749046724202819023035062834 absolute error = 0.001193148876921152605827482035 relative error = 0.076426677717911845977609112183375 % h = 0.001 TOP MAIN SOLVE Loop memory used=3292.1MB, alloc=4.6MB, time=278.52 NO POLE NO POLE x[1] = 0.976 y2[1] (analytic) = 1.8282626422763693759269866526067 y2[1] (numeric) = 1.8356428181865090163444881108648 absolute error = 0.0073801759101396404175014582581 relative error = 0.40367153709111428147028074911886 % h = 0.001 y1[1] (analytic) = 1.5603400712151210920011006636116 y1[1] (numeric) = 1.559139561040564776667871629137 absolute error = 0.0012005101745563153332290344746 relative error = 0.076939008149769121626463395812676 % h = 0.001 TOP MAIN SOLVE Loop memory used=3295.9MB, alloc=4.6MB, time=278.72 NO POLE NO POLE x[1] = 0.977 y2[1] (analytic) = 1.8288225681229078625768912406878 y2[1] (numeric) = 1.8362406297478707223279097519986 absolute error = 0.0074180616249628597510185113108 relative error = 0.40561953654020751609965094796335 % h = 0.001 y1[1] (analytic) = 1.5595115285408762293773564310583 y1[1] (numeric) = 1.5583036192604847317361471276183 absolute error = 0.00120790928039149764120930344 relative error = 0.07745433478915364296764693113831 % h = 0.001 TOP MAIN SOLVE Loop memory used=3299.7MB, alloc=4.6MB, time=278.92 NO POLE NO POLE x[1] = 0.978 y2[1] (analytic) = 1.8293816651469472948639745426626 y2[1] (numeric) = 1.8368377679137184550825291401594 absolute error = 0.0074561027667711602185545974968 relative error = 0.40757502432780967801837540735594 % h = 0.001 y1[1] (analytic) = 1.5586824263551494518365403621718 y1[1] (numeric) = 1.5574670800055342264589204845084 absolute error = 0.0012153463496152253776198776634 relative error = 0.07797267288482957831764933709296 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3303.6MB, alloc=4.6MB, time=279.12 x[1] = 0.979 y2[1] (analytic) = 1.8299399327893906953402213883531 y2[1] (numeric) = 1.8374342326026878131310852327948 absolute error = 0.0074942998132971177908638444417 relative error = 0.40953802247888553904375795166136 % h = 0.001 y1[1] (analytic) = 1.5578527654870428760135834902649 y1[1] (numeric) = 1.5566299439491496075462369811966 absolute error = 0.0012228215378932684673465090683 relative error = 0.078494037754008726772725337118639 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.98 y2[1] (analytic) = 1.8304973704919704680845332877192 y2[1] (numeric) = 1.8380300237352216067194351770617 absolute error = 0.0075326532432511386349018893425 relative error = 0.41150855306755442539464297458005 % h = 0.001 y1[1] (analytic) = 1.5570225467662173008766582673599 y1[1] (numeric) = 1.5557922117648476826335465166672 absolute error = 0.0012303350013696182431117506927 relative error = 0.079018444782633561704606377510153 % h = 0.001 TOP MAIN SOLVE Loop memory used=3307.4MB, alloc=4.6MB, time=279.32 NO POLE NO POLE x[1] = 0.981 y2[1] (analytic) = 1.8310539776972489569702778296585 y2[1] (numeric) = 1.8386251412335714148650142529912 absolute error = 0.0075711635363224578947364233327 relative error = 0.41348663821718821031541946425641 % h = 0.001 y1[1] (analytic) = 1.5561917710228913780664487344139 y1[1] (numeric) = 1.554953884126223912291386498008 absolute error = 0.0012378868966674657750622364059 relative error = 0.07954590942566143541181939379554 % h = 0.001 TOP MAIN SOLVE Loop memory used=3311.2MB, alloc=4.6MB, time=279.52 NO POLE NO POLE x[1] = 0.982 y2[1] (analytic) = 1.831609753848619003102898355503 y2[1] (numeric) = 1.8392195850217991415678617504799 absolute error = 0.0076098311731801384649633949769 relative error = 0.41547230010050954198439282603112 % h = 0.001 y1[1] (analytic) = 1.5553604390878407816775680655199 y1[1] (numeric) = 1.5541149617069506004784349383321 absolute error = 0.0012454773808901811991331271878 relative error = 0.080076447207349949960156204543401 % h = 0.001 TOP MAIN SOLVE Loop memory used=3315.0MB, alloc=4.6MB, time=279.72 NO POLE NO POLE x[1] = 0.983 y2[1] (analytic) = 1.8321646983903045014270264696466 y2[1] (numeric) = 1.8398133550257785711836169889965 absolute error = 0.0076486566354740697565905193499 relative error = 0.41746556093969030727036318752889 % h = 0.001 y1[1] (analytic) = 1.5545285517923973774829537045974 y1[1] (numeric) = 1.5532754451807750834387714941298 absolute error = 0.0012531066116222940441822104676 relative error = 0.080610073721543499269292234321866 % h = 0.001 TOP MAIN SOLVE Loop memory used=3318.8MB, alloc=4.6MB, time=279.92 NO POLE NO POLE x[1] = 0.984 y2[1] (analytic) = 1.8327188107673609565025407802402 y2[1] (numeric) = 1.8404064511731969229578903625244 absolute error = 0.0076876404058359664553495822842 relative error = 0.41946644300645033190269378749465 % h = 0.001 y1[1] (analytic) = 1.5536961099684483916020708701086 y1[1] (numeric) = 1.5524353352215179170441847695231 absolute error = 0.0012607747469304745578861005855 relative error = 0.08114680463196098752612629844351 % h = 0.001 TOP MAIN SOLVE Loop memory used=3322.6MB, alloc=4.6MB, time=280.13 NO POLE NO POLE x[1] = 0.985 y2[1] (analytic) = 1.8332720904256760374490160939396 y2[1] (numeric) = 1.8409988733935564047214149659727 absolute error = 0.0077267829678803672723988720331 relative error = 0.42147496862215631762160264356956 % h = 0.001 y1[1] (analytic) = 1.5528631144484355786137557595258 y1[1] (numeric) = 1.5515946325030710625823648096759 absolute error = 0.0012684819453645160313909498499 relative error = 0.081686655672484729029104661594964 % h = 0.001 TOP MAIN SOLVE Loop memory used=3326.4MB, alloc=4.6MB, time=280.33 NO POLE NO POLE x[1] = 0.986 y2[1] (analytic) = 1.8338245368119701320580081203051 y2[1] (numeric) = 1.8415906216181757657453850330699 absolute error = 0.0077660848062056336873769127648 relative error = 0.42349116015792101687686497471661 % h = 0.001 y1[1] (analytic) = 1.5520295660653543891145303406393 y1[1] (numeric) = 1.550753337699396070991820299719 absolute error = 0.0012762283659583181227100409203 relative error = 0.082229642647450534591603154389252 % h = 0.001 TOP MAIN SOLVE Loop memory used=3330.3MB, alloc=4.6MB, time=280.53 NO POLE NO POLE x[1] = 0.987 y2[1] (analytic) = 1.8343761493737969000726195736126 y2[1] (numeric) = 1.8421816957801918487563880896122 absolute error = 0.0078055464063949486837685159996 relative error = 0.42551504003470264564457283391292 % h = 0.001 y1[1] (analytic) = 1.5511954656527531367232211713211 y1[1] (numeric) = 1.5499114514845222655443605789831 absolute error = 0.001284014168230871178860592338 relative error = 0.082775781431938989656371442613072 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3334.1MB, alloc=4.6MB, time=280.72 x[1] = 0.988 y2[1] (analytic) = 1.8349269275595438256337943925575 y2[1] (numeric) = 1.8427720958145611411103383998637 absolute error = 0.0078451682550173154765440073062 relative error = 0.42754663072340453493306209627162 % h = 0.001 y1[1] (analytic) = 1.5503608140447321645327152430547 y1[1] (numeric) = 1.5490689745325449229759831730914 absolute error = 0.0012918395121872415567320699633 relative error = 0.083325087972067929297094245189009 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.989 y2[1] (analytic) = 1.8354768708184327688927876316028 y2[1] (numeric) = 1.8433618216580613251248199579027 absolute error = 0.0078849508396285562320323262999 relative error = 0.42958595474497502155058535927228 % h = 0.001 y1[1] (analytic) = 1.5495256120759430110096863964084 y1[1] (numeric) = 1.5482259075176234530670081385493 absolute error = 0.0012997045583195579426782578591 relative error = 0.083877578285286115307296043483548 % h = 0.001 TOP MAIN SOLVE Loop memory used=3337.9MB, alloc=4.6MB, time=280.92 NO POLE NO POLE x[1] = 0.99 y2[1] (analytic) = 1.8360259786005205167892594115471 y2[1] (numeric) = 1.8439508732492928275692479497681 absolute error = 0.007924894648772310779988538221 relative error = 0.43163303467050757870878245602011 % h = 0.001 y1[1] (analytic) = 1.5486898605815875753431264086536 y1[1] (numeric) = 1.5473822511139795766723011058789 absolute error = 0.0013076094676079986708253027747 relative error = 0.084433268460668120601109274488308 % h = 0.001 TOP MAIN SOLVE Loop memory used=3341.7MB, alloc=4.6MB, time=281.13 NO POLE NO POLE x[1] = 0.991 y2[1] (analytic) = 1.8365742503566993329944421512648 y2[1] (numeric) = 1.8445392505286803683122582863894 absolute error = 0.0079650001719810353178161351246 relative error = 0.43368789312134118703747817148507 % h = 0.001 y1[1] (analytic) = 1.5478535603974172822425154049293 y1[1] (numeric) = 1.5465380059958955022024274980844 absolute error = 0.0013155544015217800400879068449 relative error = 0.084992174659210426174841817077471 % h = 0.001 TOP MAIN SOLVE Loop memory used=3345.5MB, alloc=4.6MB, time=281.33 NO POLE NO POLE x[1] = 0.992 y2[1] (analytic) = 1.8371216855386975070188311374976 y2[1] (numeric) = 1.8451269534384745081257354814728 absolute error = 0.0080052678997770011069043439752 relative error = 0.43575055276916094658781939669801 % h = 0.001 y1[1] (analytic) = 1.5470167123597322461864667947115 y1[1] (numeric) = 1.5456931728377121005565809912963 absolute error = 0.0013235395220201456298858034152 relative error = 0.085554313114128735902818429591989 % h = 0.001 TOP MAIN SOLVE Loop memory used=3349.3MB, alloc=4.6MB, time=281.52 NO POLE NO POLE x[1] = 0.993 y2[1] (analytic) = 1.8376682835990799024838493250508 y2[1] (numeric) = 1.8457139819227531956448898227685 absolute error = 0.0080456983236732931610404977177 relative error = 0.43782103633609893040225136897465 % h = 0.001 y1[1] (analytic) = 1.5461793173053804351226824848735 y1[1] (numeric) = 1.5448477523138270785081298738312 absolute error = 0.0013315649915533566145526110423 relative error = 0.086119700131156514465633349292015 % h = 0.001 TOP MAIN SOLVE Loop memory used=3353.1MB, alloc=4.6MB, time=281.72 NO POLE NO POLE x[1] = 0.994 y2[1] (analytic) = 1.8382140439912485045569380957782 y2[1] (numeric) = 1.8463003359274233134837954594547 absolute error = 0.0080862919361748089268573636765 relative error = 0.43989936659483528023132483839311 % h = 0.001 y1[1] (analytic) = 1.5453413760717568336200546693127 y1[1] (numeric) = 1.5440017450986931505436255486193 absolute error = 0.0013396309730636830764291206934 relative error = 0.086688352088844753733738193583248 % h = 0.001 TOP MAIN SOLVE Loop memory used=3357.0MB, alloc=4.6MB, time=281.92 NO POLE NO POLE x[1] = 0.995 y2[1] (analytic) = 1.8387589661694429665495265413068 y2[1] (numeric) = 1.8468860154002222235058017027442 absolute error = 0.0081270492307792569562751614374 relative error = 0.4419855663686995449788229849381 % h = 0.001 y1[1] (analytic) = 1.5445028894968026054737510429714 y1[1] (numeric) = 1.5431551518668162091561180119906 absolute error = 0.0013477376299863963176330309808 relative error = 0.087260285438862972954201287765713 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=3360.8MB, alloc=4.6MB, time=282.12 x[1] = 0.996 y2[1] (analytic) = 1.8393030495887411556773326715804 y2[1] (numeric) = 1.8474710202907193112482305112438 absolute error = 0.0081679707019781555708978396634 relative error = 0.4440796585317722624581986972151 % h = 0.001 y1[1] (analytic) = 1.5436638584190042557641208350967 y1[1] (numeric) = 1.5423079732927534935936237291771 absolute error = 0.0013558851262507621704971059196 relative error = 0.087835516706301458113512266555226 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.997 y2[1] (analytic) = 1.839846293705059697982450788966 y2[1] (numeric) = 1.8480553505503175295007738070756 absolute error = 0.0082090568452578315183230181096 relative error = 0.44618166600898678504481942569895 % h = 0.001 y1[1] (analytic) = 1.5428242836773927923702596027651 y1[1] (numeric) = 1.5414602100511117570635919135797 absolute error = 0.0013640736262810353066676891854 relative error = 0.088414062489974745874469942969011 % h = 0.001 TOP MAIN SOLVE Loop memory used=3364.6MB, alloc=4.6MB, time=282.32 NO POLE NO POLE x[1] = 0.998 y2[1] (analytic) = 1.8403886979751545224166801058793 y2[1] (numeric) = 1.8486390061322549410370049433017 absolute error = 0.0082503081571004186203248374224 relative error = 0.44829161177623134981002825246914 % h = 0.001 y1[1] (analytic) = 1.5419841661115428869390712710343 y1[1] (numeric) = 1.5406118628165454323942158028648 absolute error = 0.0013723032949974545448554681695 relative error = 0.088995939462726357510482698184113 % h = 0.001 TOP MAIN SOLVE Loop memory used=3368.4MB, alloc=4.6MB, time=282.52 NO POLE NO POLE x[1] = 0.999 y2[1] (analytic) = 1.8409302618566214040855505226477 y2[1] (numeric) = 1.8492219869916062604984193177742 absolute error = 0.0082917251349848564128687951265 relative error = 0.45040951886045139372454608694159 % h = 0.001 y1[1] (analytic) = 1.5411435065615720353106664505939 y1[1] (numeric) = 1.5397629322637547961534361102978 absolute error = 0.0013805742978172391572303402961 relative error = 0.089581164371734788286029714935894 % h = 0.001 TOP MAIN SOLVE Loop memory used=3372.2MB, alloc=4.6MB, time=282.72 NO POLE NO POLE x[1] = 1 y2[1] (analytic) = 1.8414709848078965066525023216303 y2[1] (numeric) = 1.8498042930852843954304198031649 absolute error = 0.0083333082773878887779174815346 relative error = 0.45253541033975211452026101616074 % h = 0.001 y1[1] (analytic) = 1.540302305868139717400936607443 y1[1] (numeric) = 1.5389134190674841312264844143886 absolute error = 0.0013888868006555861744521930544 relative error = 0.09016975403882075775757895169047 % h = 0.001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y2 , x , 5 ) = y1 ; diff ( y1 , x , 1 ) = m1 * y2 + 1.0; Iterations = 1000 Total Elapsed Time = 4 Minutes 42 Seconds Elapsed Time(since restart) = 4 Minutes 42 Seconds Expected Time Remaining = 18 Minutes 49 Seconds Optimized Time Remaining = 18 Minutes 49 Seconds Time to Timeout = 10 Minutes 17 Seconds Percent Done = 20.02 % > quit memory used=3374.7MB, alloc=4.6MB, time=282.84