|\^/| 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, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_warned, > glob_relerr, > glob_log10_abserr, > glob_large_float, > years_in_century, > glob_initial_pass, > glob_max_opt_iter, > glob_subiter_method, > glob_max_minutes, > glob_smallish_float, > glob_optimal_clock_start_sec, > glob_max_hours, > glob_dump_analytic, > glob_look_poles, > glob_disp_incr, > glob_max_sec, > glob_hmin_init, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_clock_start_sec, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > glob_last_good_h, > glob_h, > glob_not_yet_start_msg, > min_in_hour, > glob_curr_iter_when_opt, > glob_max_iter, > glob_hmax, > glob_optimal_done, > glob_almost_1, > glob_percent_done, > glob_log10relerr, > glob_start, > glob_optimal_start, > sec_in_min, > glob_dump, > glob_small_float, > glob_no_eqs, > glob_clock_sec, > hours_in_day, > djd_debug2, > glob_log10normmin, > glob_log10abserr, > glob_orig_start_sec, > glob_warned2, > glob_unchanged_h_cnt, > glob_abserr, > glob_normmax, > MAX_UNCHANGED, > glob_current_iter, > glob_log10_relerr, > glob_reached_optimal_h, > centuries_in_millinium, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_3, > array_const_1, > array_const_4, > array_const_0D0, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_type_pole, > array_last_rel_error, > array_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_y2_init, > array_1st_rel_error, > array_norms, > array_y1_init, > array_real_pole, > array_y1_set_initial, > array_poles, > array_complex_pole, > array_y2_higher, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_higher, > array_y2_higher_work2, > array_y2_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, ALWAYS, glob_iolevel, glob_max_terms, DEBUGMASSIVE, INFO, glob_warned, glob_relerr, glob_log10_abserr, glob_large_float, years_in_century, glob_initial_pass, glob_max_opt_iter, glob_subiter_method, glob_max_minutes, glob_smallish_float, glob_optimal_clock_start_sec, glob_max_hours, glob_dump_analytic, glob_look_poles, glob_disp_incr, glob_max_sec, glob_hmin_init, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_max_trunc_err, glob_max_rel_trunc_err, glob_clock_start_sec, djd_debug, glob_optimal_expect_sec, glob_iter, glob_last_good_h, glob_h, glob_not_yet_start_msg, min_in_hour, glob_curr_iter_when_opt, glob_max_iter, glob_hmax, glob_optimal_done, glob_almost_1, glob_percent_done, glob_log10relerr, glob_start, glob_optimal_start, sec_in_min, glob_dump, glob_small_float, glob_no_eqs, glob_clock_sec, hours_in_day, djd_debug2, glob_log10normmin, glob_log10abserr, glob_orig_start_sec, glob_warned2, glob_unchanged_h_cnt, glob_abserr, glob_normmax, MAX_UNCHANGED, glob_current_iter, glob_log10_relerr, glob_reached_optimal_h, centuries_in_millinium, glob_display_flag, array_const_1D0, array_const_3, array_const_1, array_const_4, array_const_0D0, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_type_pole, array_last_rel_error, array_pole, array_x, array_m1, array_y2, array_y1, array_y2_init, array_1st_rel_error, array_norms, array_y1_init, array_real_pole, array_y1_set_initial, array_poles, array_complex_pole, array_y2_higher, array_y2_set_initial, array_y1_higher_work, array_y1_higher_work2, array_y1_higher, array_y2_higher_work2, array_y2_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, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_warned, > glob_relerr, > glob_log10_abserr, > glob_large_float, > years_in_century, > glob_initial_pass, > glob_max_opt_iter, > glob_subiter_method, > glob_max_minutes, > glob_smallish_float, > glob_optimal_clock_start_sec, > glob_max_hours, > glob_dump_analytic, > glob_look_poles, > glob_disp_incr, > glob_max_sec, > glob_hmin_init, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_clock_start_sec, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > glob_last_good_h, > glob_h, > glob_not_yet_start_msg, > min_in_hour, > glob_curr_iter_when_opt, > glob_max_iter, > glob_hmax, > glob_optimal_done, > glob_almost_1, > glob_percent_done, > glob_log10relerr, > glob_start, > glob_optimal_start, > sec_in_min, > glob_dump, > glob_small_float, > glob_no_eqs, > glob_clock_sec, > hours_in_day, > djd_debug2, > glob_log10normmin, > glob_log10abserr, > glob_orig_start_sec, > glob_warned2, > glob_unchanged_h_cnt, > glob_abserr, > glob_normmax, > MAX_UNCHANGED, > glob_current_iter, > glob_log10_relerr, > glob_reached_optimal_h, > centuries_in_millinium, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_3, > array_const_1, > array_const_4, > array_const_0D0, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_type_pole, > array_last_rel_error, > array_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_y2_init, > array_1st_rel_error, > array_norms, > array_y1_init, > array_real_pole, > array_y1_set_initial, > array_poles, > array_complex_pole, > array_y2_higher, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_higher, > array_y2_higher_work2, > array_y2_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, ALWAYS, glob_iolevel, glob_max_terms, DEBUGMASSIVE, INFO, glob_warned, glob_relerr, glob_log10_abserr, glob_large_float, years_in_century, glob_initial_pass, glob_max_opt_iter, glob_subiter_method, glob_max_minutes, glob_smallish_float, glob_optimal_clock_start_sec, glob_max_hours, glob_dump_analytic, glob_look_poles, glob_disp_incr, glob_max_sec, glob_hmin_init, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_max_trunc_err, glob_max_rel_trunc_err, glob_clock_start_sec, djd_debug, glob_optimal_expect_sec, glob_iter, glob_last_good_h, glob_h, glob_not_yet_start_msg, min_in_hour, glob_curr_iter_when_opt, glob_max_iter, glob_hmax, glob_optimal_done, glob_almost_1, glob_percent_done, glob_log10relerr, glob_start, glob_optimal_start, sec_in_min, glob_dump, glob_small_float, glob_no_eqs, glob_clock_sec, hours_in_day, djd_debug2, glob_log10normmin, glob_log10abserr, glob_orig_start_sec, glob_warned2, glob_unchanged_h_cnt, glob_abserr, glob_normmax, MAX_UNCHANGED, glob_current_iter, glob_log10_relerr, glob_reached_optimal_h, centuries_in_millinium, glob_display_flag, array_const_1D0, array_const_3, array_const_1, array_const_4, array_const_0D0, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_type_pole, array_last_rel_error, array_pole, array_x, array_m1, array_y2, array_y1, array_y2_init, array_1st_rel_error, array_norms, array_y1_init, array_real_pole, array_y1_set_initial, array_poles, array_complex_pole, array_y2_higher, array_y2_set_initial, array_y1_higher_work, array_y1_higher_work2, array_y1_higher, array_y2_higher_work2, array_y2_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, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_warned, > glob_relerr, > glob_log10_abserr, > glob_large_float, > years_in_century, > glob_initial_pass, > glob_max_opt_iter, > glob_subiter_method, > glob_max_minutes, > glob_smallish_float, > glob_optimal_clock_start_sec, > glob_max_hours, > glob_dump_analytic, > glob_look_poles, > glob_disp_incr, > glob_max_sec, > glob_hmin_init, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_clock_start_sec, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > glob_last_good_h, > glob_h, > glob_not_yet_start_msg, > min_in_hour, > glob_curr_iter_when_opt, > glob_max_iter, > glob_hmax, > glob_optimal_done, > glob_almost_1, > glob_percent_done, > glob_log10relerr, > glob_start, > glob_optimal_start, > sec_in_min, > glob_dump, > glob_small_float, > glob_no_eqs, > glob_clock_sec, > hours_in_day, > djd_debug2, > glob_log10normmin, > glob_log10abserr, > glob_orig_start_sec, > glob_warned2, > glob_unchanged_h_cnt, > glob_abserr, > glob_normmax, > MAX_UNCHANGED, > glob_current_iter, > glob_log10_relerr, > glob_reached_optimal_h, > centuries_in_millinium, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_3, > array_const_1, > array_const_4, > array_const_0D0, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_type_pole, > array_last_rel_error, > array_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_y2_init, > array_1st_rel_error, > array_norms, > array_y1_init, > array_real_pole, > array_y1_set_initial, > array_poles, > array_complex_pole, > array_y2_higher, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_higher, > array_y2_higher_work2, > array_y2_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, ALWAYS, glob_iolevel, glob_max_terms, DEBUGMASSIVE, INFO, glob_warned, glob_relerr, glob_log10_abserr, glob_large_float, years_in_century, glob_initial_pass, glob_max_opt_iter, glob_subiter_method, glob_max_minutes, glob_smallish_float, glob_optimal_clock_start_sec, glob_max_hours, glob_dump_analytic, glob_look_poles, glob_disp_incr, glob_max_sec, glob_hmin_init, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_max_trunc_err, glob_max_rel_trunc_err, glob_clock_start_sec, djd_debug, glob_optimal_expect_sec, glob_iter, glob_last_good_h, glob_h, glob_not_yet_start_msg, min_in_hour, glob_curr_iter_when_opt, glob_max_iter, glob_hmax, glob_optimal_done, glob_almost_1, glob_percent_done, glob_log10relerr, glob_start, glob_optimal_start, sec_in_min, glob_dump, glob_small_float, glob_no_eqs, glob_clock_sec, hours_in_day, djd_debug2, glob_log10normmin, glob_log10abserr, glob_orig_start_sec, glob_warned2, glob_unchanged_h_cnt, glob_abserr, glob_normmax, MAX_UNCHANGED, glob_current_iter, glob_log10_relerr, glob_reached_optimal_h, centuries_in_millinium, glob_display_flag, array_const_1D0, array_const_3, array_const_1, array_const_4, array_const_0D0, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_type_pole, array_last_rel_error, array_pole, array_x, array_m1, array_y2, array_y1, array_y2_init, array_1st_rel_error, array_norms, array_y1_init, array_real_pole, array_y1_set_initial, array_poles, array_complex_pole, array_y2_higher, array_y2_set_initial, array_y1_higher_work, array_y1_higher_work2, array_y1_higher, array_y2_higher_work2, array_y2_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, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_warned, > glob_relerr, > glob_log10_abserr, > glob_large_float, > years_in_century, > glob_initial_pass, > glob_max_opt_iter, > glob_subiter_method, > glob_max_minutes, > glob_smallish_float, > glob_optimal_clock_start_sec, > glob_max_hours, > glob_dump_analytic, > glob_look_poles, > glob_disp_incr, > glob_max_sec, > glob_hmin_init, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_clock_start_sec, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > glob_last_good_h, > glob_h, > glob_not_yet_start_msg, > min_in_hour, > glob_curr_iter_when_opt, > glob_max_iter, > glob_hmax, > glob_optimal_done, > glob_almost_1, > glob_percent_done, > glob_log10relerr, > glob_start, > glob_optimal_start, > sec_in_min, > glob_dump, > glob_small_float, > glob_no_eqs, > glob_clock_sec, > hours_in_day, > djd_debug2, > glob_log10normmin, > glob_log10abserr, > glob_orig_start_sec, > glob_warned2, > glob_unchanged_h_cnt, > glob_abserr, > glob_normmax, > MAX_UNCHANGED, > glob_current_iter, > glob_log10_relerr, > glob_reached_optimal_h, > centuries_in_millinium, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_3, > array_const_1, > array_const_4, > array_const_0D0, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_type_pole, > array_last_rel_error, > array_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_y2_init, > array_1st_rel_error, > array_norms, > array_y1_init, > array_real_pole, > array_y1_set_initial, > array_poles, > array_complex_pole, > array_y2_higher, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_higher, > array_y2_higher_work2, > array_y2_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 - 4 - 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 - 4 - 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, ALWAYS, glob_iolevel, glob_max_terms, DEBUGMASSIVE, INFO, glob_warned, glob_relerr, glob_log10_abserr, glob_large_float, years_in_century, glob_initial_pass, glob_max_opt_iter, glob_subiter_method, glob_max_minutes, glob_smallish_float, glob_optimal_clock_start_sec, glob_max_hours, glob_dump_analytic, glob_look_poles, glob_disp_incr, glob_max_sec, glob_hmin_init, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_max_trunc_err, glob_max_rel_trunc_err, glob_clock_start_sec, djd_debug, glob_optimal_expect_sec, glob_iter, glob_last_good_h, glob_h, glob_not_yet_start_msg, min_in_hour, glob_curr_iter_when_opt, glob_max_iter, glob_hmax, glob_optimal_done, glob_almost_1, glob_percent_done, glob_log10relerr, glob_start, glob_optimal_start, sec_in_min, glob_dump, glob_small_float, glob_no_eqs, glob_clock_sec, hours_in_day, djd_debug2, glob_log10normmin, glob_log10abserr, glob_orig_start_sec, glob_warned2, glob_unchanged_h_cnt, glob_abserr, glob_normmax, MAX_UNCHANGED, glob_current_iter, glob_log10_relerr, glob_reached_optimal_h, centuries_in_millinium, glob_display_flag, array_const_1D0, array_const_3, array_const_1, array_const_4, array_const_0D0, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_type_pole, array_last_rel_error, array_pole, array_x, array_m1, array_y2, array_y1, array_y2_init, array_1st_rel_error, array_norms, array_y1_init, array_real_pole, array_y1_set_initial, array_poles, array_complex_pole, array_y2_higher, array_y2_set_initial, array_y1_higher_work, array_y1_higher_work2, array_y1_higher, array_y2_higher_work2, array_y2_higher_work, glob_last; n := glob_max_terms; m := n - 5; 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 - 5; 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, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_warned, > glob_relerr, > glob_log10_abserr, > glob_large_float, > years_in_century, > glob_initial_pass, > glob_max_opt_iter, > glob_subiter_method, > glob_max_minutes, > glob_smallish_float, > glob_optimal_clock_start_sec, > glob_max_hours, > glob_dump_analytic, > glob_look_poles, > glob_disp_incr, > glob_max_sec, > glob_hmin_init, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_clock_start_sec, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > glob_last_good_h, > glob_h, > glob_not_yet_start_msg, > min_in_hour, > glob_curr_iter_when_opt, > glob_max_iter, > glob_hmax, > glob_optimal_done, > glob_almost_1, > glob_percent_done, > glob_log10relerr, > glob_start, > glob_optimal_start, > sec_in_min, > glob_dump, > glob_small_float, > glob_no_eqs, > glob_clock_sec, > hours_in_day, > djd_debug2, > glob_log10normmin, > glob_log10abserr, > glob_orig_start_sec, > glob_warned2, > glob_unchanged_h_cnt, > glob_abserr, > glob_normmax, > MAX_UNCHANGED, > glob_current_iter, > glob_log10_relerr, > glob_reached_optimal_h, > centuries_in_millinium, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_3, > array_const_1, > array_const_4, > array_const_0D0, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_type_pole, > array_last_rel_error, > array_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_y2_init, > array_1st_rel_error, > array_norms, > array_y1_init, > array_real_pole, > array_y1_set_initial, > array_poles, > array_complex_pole, > array_y2_higher, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_higher, > array_y2_higher_work2, > array_y2_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, ALWAYS, glob_iolevel, glob_max_terms, DEBUGMASSIVE, INFO, glob_warned, glob_relerr, glob_log10_abserr, glob_large_float, years_in_century, glob_initial_pass, glob_max_opt_iter, glob_subiter_method, glob_max_minutes, glob_smallish_float, glob_optimal_clock_start_sec, glob_max_hours, glob_dump_analytic, glob_look_poles, glob_disp_incr, glob_max_sec, glob_hmin_init, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_max_trunc_err, glob_max_rel_trunc_err, glob_clock_start_sec, djd_debug, glob_optimal_expect_sec, glob_iter, glob_last_good_h, glob_h, glob_not_yet_start_msg, min_in_hour, glob_curr_iter_when_opt, glob_max_iter, glob_hmax, glob_optimal_done, glob_almost_1, glob_percent_done, glob_log10relerr, glob_start, glob_optimal_start, sec_in_min, glob_dump, glob_small_float, glob_no_eqs, glob_clock_sec, hours_in_day, djd_debug2, glob_log10normmin, glob_log10abserr, glob_orig_start_sec, glob_warned2, glob_unchanged_h_cnt, glob_abserr, glob_normmax, MAX_UNCHANGED, glob_current_iter, glob_log10_relerr, glob_reached_optimal_h, centuries_in_millinium, glob_display_flag, array_const_1D0, array_const_3, array_const_1, array_const_4, array_const_0D0, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_type_pole, array_last_rel_error, array_pole, array_x, array_m1, array_y2, array_y1, array_y2_init, array_1st_rel_error, array_norms, array_y1_init, array_real_pole, array_y1_set_initial, array_poles, array_complex_pole, array_y2_higher, array_y2_set_initial, array_y1_higher_work, array_y1_higher_work2, array_y1_higher, array_y2_higher_work2, array_y2_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, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_warned, > glob_relerr, > glob_log10_abserr, > glob_large_float, > years_in_century, > glob_initial_pass, > glob_max_opt_iter, > glob_subiter_method, > glob_max_minutes, > glob_smallish_float, > glob_optimal_clock_start_sec, > glob_max_hours, > glob_dump_analytic, > glob_look_poles, > glob_disp_incr, > glob_max_sec, > glob_hmin_init, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_clock_start_sec, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > glob_last_good_h, > glob_h, > glob_not_yet_start_msg, > min_in_hour, > glob_curr_iter_when_opt, > glob_max_iter, > glob_hmax, > glob_optimal_done, > glob_almost_1, > glob_percent_done, > glob_log10relerr, > glob_start, > glob_optimal_start, > sec_in_min, > glob_dump, > glob_small_float, > glob_no_eqs, > glob_clock_sec, > hours_in_day, > djd_debug2, > glob_log10normmin, > glob_log10abserr, > glob_orig_start_sec, > glob_warned2, > glob_unchanged_h_cnt, > glob_abserr, > glob_normmax, > MAX_UNCHANGED, > glob_current_iter, > glob_log10_relerr, > glob_reached_optimal_h, > centuries_in_millinium, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_3, > array_const_1, > array_const_4, > array_const_0D0, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_type_pole, > array_last_rel_error, > array_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_y2_init, > array_1st_rel_error, > array_norms, > array_y1_init, > array_real_pole, > array_y1_set_initial, > array_poles, > array_complex_pole, > array_y2_higher, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_higher, > array_y2_higher_work2, > array_y2_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 sub $eq_no = 1 i = 1 > array_tmp2[1] := (array_tmp1[1] - (array_const_1D0[1])); > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if not array_y2_set_initial[1,5] then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[1] * (glob_h ^ (4)) * factorial_3(0,4); > array_y2[5] := temporary; > array_y2_higher[1,5] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,4] := temporary > ; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,3] := temporary > ; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,2] := temporary > ; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,1] := temporary > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 2; > #emit pre diff $eq_no = 2 i = 1 > array_tmp4[1] := array_y2_higher[4,1]; > # emit pre mult $eq_no = 2 i = 1 > array_tmp5[1] := (array_m1[1] * (array_tmp4[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_tmp5[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 sub $eq_no = 1 i = 2 > array_tmp2[2] := (array_tmp1[2] - (array_const_1D0[2])); > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if not array_y2_set_initial[1,6] then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[2] * (glob_h ^ (4)) * factorial_3(1,5); > 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 > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 3; > #emit pre diff $eq_no = 2 i = 2 > array_tmp4[2] := array_y2_higher[4,2]; > # emit pre mult $eq_no = 2 i = 2 > array_tmp5[2] := ats(2,array_m1,array_tmp4,1); > #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_tmp5[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 sub $eq_no = 1 i = 3 > array_tmp2[3] := (array_tmp1[3] - (array_const_1D0[3])); > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if not array_y2_set_initial[1,7] then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[3] * (glob_h ^ (4)) * factorial_3(2,6); > 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 > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 4; > #emit pre diff $eq_no = 2 i = 3 > array_tmp4[3] := array_y2_higher[4,3]; > # emit pre mult $eq_no = 2 i = 3 > array_tmp5[3] := ats(3,array_m1,array_tmp4,1); > #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_tmp5[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 sub $eq_no = 1 i = 4 > array_tmp2[4] := (array_tmp1[4] - (array_const_1D0[4])); > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if not array_y2_set_initial[1,8] then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[4] * (glob_h ^ (4)) * factorial_3(3,7); > 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 > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 5; > #emit pre diff $eq_no = 2 i = 4 > array_tmp4[4] := array_y2_higher[4,4]; > # emit pre mult $eq_no = 2 i = 4 > array_tmp5[4] := ats(4,array_m1,array_tmp4,1); > #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_tmp5[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 sub $eq_no = 1 i = 5 > array_tmp2[5] := (array_tmp1[5] - (array_const_1D0[5])); > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if not array_y2_set_initial[1,9] then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[5] * (glob_h ^ (4)) * factorial_3(4,8); > 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 > ; > fi;# end if 2 > ; > fi;# end if 1 > ; > kkk := 6; > #emit pre diff $eq_no = 2 i = 5 > array_tmp4[5] := array_y2_higher[4,5]; > # emit pre mult $eq_no = 2 i = 5 > array_tmp5[5] := ats(5,array_m1,array_tmp4,1); > #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_tmp5[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 sub $eq_no = 1 > array_tmp2[kkk] := (array_tmp1[kkk] - (array_const_1D0[kkk])); > #emit assign $eq_no = 1 > order_d := 4; > 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_tmp2[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 diff $eq_no = 2 > array_tmp4[kkk] := array_y2_higher[4,kkk]; > #emit mult $eq_no = 2 > array_tmp5[kkk] := ats(kkk,array_m1,array_tmp4,1); > #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_tmp5[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, ALWAYS, glob_iolevel, glob_max_terms, DEBUGMASSIVE, INFO, glob_warned, glob_relerr, glob_log10_abserr, glob_large_float, years_in_century, glob_initial_pass, glob_max_opt_iter, glob_subiter_method, glob_max_minutes, glob_smallish_float, glob_optimal_clock_start_sec, glob_max_hours, glob_dump_analytic, glob_look_poles, glob_disp_incr, glob_max_sec, glob_hmin_init, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_max_trunc_err, glob_max_rel_trunc_err, glob_clock_start_sec, djd_debug, glob_optimal_expect_sec, glob_iter, glob_last_good_h, glob_h, glob_not_yet_start_msg, min_in_hour, glob_curr_iter_when_opt, glob_max_iter, glob_hmax, glob_optimal_done, glob_almost_1, glob_percent_done, glob_log10relerr, glob_start, glob_optimal_start, sec_in_min, glob_dump, glob_small_float, glob_no_eqs, glob_clock_sec, hours_in_day, djd_debug2, glob_log10normmin, glob_log10abserr, glob_orig_start_sec, glob_warned2, glob_unchanged_h_cnt, glob_abserr, glob_normmax, MAX_UNCHANGED, glob_current_iter, glob_log10_relerr, glob_reached_optimal_h, centuries_in_millinium, glob_display_flag, array_const_1D0, array_const_3, array_const_1, array_const_4, array_const_0D0, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_type_pole, array_last_rel_error, array_pole, array_x, array_m1, array_y2, array_y1, array_y2_init, array_1st_rel_error, array_norms, array_y1_init, array_real_pole, array_y1_set_initial, array_poles, array_complex_pole, array_y2_higher, array_y2_set_initial, array_y1_higher_work, array_y1_higher_work2, array_y1_higher, array_y2_higher_work2, array_y2_higher_work, glob_last; array_tmp1[1] := array_const_0D0[1] + array_y1[1]; array_tmp2[1] := array_tmp1[1] - array_const_1D0[1]; if not array_y2_set_initial[1, 5] then if 1 <= glob_max_terms then temporary := array_tmp2[1]*glob_h^4*factorial_3(0, 4); array_y2[5] := temporary; array_y2_higher[1, 5] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 4] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 3] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 2] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 1] := temporary end if end if; kkk := 2; array_tmp4[1] := array_y2_higher[4, 1]; array_tmp5[1] := array_m1[1]*array_tmp4[1]; if not array_y1_set_initial[2, 2] then if 1 <= glob_max_terms then temporary := array_tmp5[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]; array_tmp2[2] := array_tmp1[2] - array_const_1D0[2]; if not array_y2_set_initial[1, 6] then if 2 <= glob_max_terms then temporary := array_tmp2[2]*glob_h^4*factorial_3(1, 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 end if end if; kkk := 3; array_tmp4[2] := array_y2_higher[4, 2]; array_tmp5[2] := ats(2, array_m1, array_tmp4, 1); if not array_y1_set_initial[2, 3] then if 2 <= glob_max_terms then temporary := array_tmp5[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]; array_tmp2[3] := array_tmp1[3] - array_const_1D0[3]; if not array_y2_set_initial[1, 7] then if 3 <= glob_max_terms then temporary := array_tmp2[3]*glob_h^4*factorial_3(2, 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 end if end if; kkk := 4; array_tmp4[3] := array_y2_higher[4, 3]; array_tmp5[3] := ats(3, array_m1, array_tmp4, 1); if not array_y1_set_initial[2, 4] then if 3 <= glob_max_terms then temporary := array_tmp5[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]; array_tmp2[4] := array_tmp1[4] - array_const_1D0[4]; if not array_y2_set_initial[1, 8] then if 4 <= glob_max_terms then temporary := array_tmp2[4]*glob_h^4*factorial_3(3, 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 end if end if; kkk := 5; array_tmp4[4] := array_y2_higher[4, 4]; array_tmp5[4] := ats(4, array_m1, array_tmp4, 1); if not array_y1_set_initial[2, 5] then if 4 <= glob_max_terms then temporary := array_tmp5[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]; array_tmp2[5] := array_tmp1[5] - array_const_1D0[5]; if not array_y2_set_initial[1, 9] then if 5 <= glob_max_terms then temporary := array_tmp2[5]*glob_h^4*factorial_3(4, 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 end if end if; kkk := 6; array_tmp4[5] := array_y2_higher[4, 5]; array_tmp5[5] := ats(5, array_m1, array_tmp4, 1); if not array_y1_set_initial[2, 6] then if 5 <= glob_max_terms then temporary := array_tmp5[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]; array_tmp2[kkk] := array_tmp1[kkk] - array_const_1D0[kkk]; order_d := 4; if kkk + order_d + 1 <= glob_max_terms then if not array_y2_set_initial[1, kkk + order_d] then temporary := array_tmp2[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_tmp4[kkk] := array_y2_higher[4, kkk]; array_tmp5[kkk] := ats(kkk, array_m1, array_tmp4, 1); 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_tmp5[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 + sin(x); > end; exact_soln_y1 := proc(x) 1.0 + sin(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 > > > > #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, > ALWAYS, > glob_iolevel, > glob_max_terms, > DEBUGMASSIVE, > INFO, > #Top Generate Globals Decl > glob_warned, > glob_relerr, > glob_log10_abserr, > glob_large_float, > years_in_century, > glob_initial_pass, > glob_max_opt_iter, > glob_subiter_method, > glob_max_minutes, > glob_smallish_float, > glob_optimal_clock_start_sec, > glob_max_hours, > glob_dump_analytic, > glob_look_poles, > glob_disp_incr, > glob_max_sec, > glob_hmin_init, > glob_hmin, > glob_not_yet_finished, > days_in_year, > glob_html_log, > glob_max_trunc_err, > glob_max_rel_trunc_err, > glob_clock_start_sec, > djd_debug, > glob_optimal_expect_sec, > glob_iter, > glob_last_good_h, > glob_h, > glob_not_yet_start_msg, > min_in_hour, > glob_curr_iter_when_opt, > glob_max_iter, > glob_hmax, > glob_optimal_done, > glob_almost_1, > glob_percent_done, > glob_log10relerr, > glob_start, > glob_optimal_start, > sec_in_min, > glob_dump, > glob_small_float, > glob_no_eqs, > glob_clock_sec, > hours_in_day, > djd_debug2, > glob_log10normmin, > glob_log10abserr, > glob_orig_start_sec, > glob_warned2, > glob_unchanged_h_cnt, > glob_abserr, > glob_normmax, > MAX_UNCHANGED, > glob_current_iter, > glob_log10_relerr, > glob_reached_optimal_h, > centuries_in_millinium, > glob_display_flag, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1D0, > array_const_3, > array_const_1, > array_const_4, > array_const_0D0, > #END CONST > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_type_pole, > array_last_rel_error, > array_pole, > array_x, > array_m1, > array_y2, > array_y1, > array_y2_init, > array_1st_rel_error, > array_norms, > array_y1_init, > array_real_pole, > array_y1_set_initial, > array_poles, > array_complex_pole, > array_y2_higher, > array_y2_set_initial, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_higher, > array_y2_higher_work2, > array_y2_higher_work, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > DEBUGL := 3; > ALWAYS := 1; > glob_iolevel := 5; > glob_max_terms := 30; > DEBUGMASSIVE := 4; > INFO := 2; > glob_warned := false; > glob_relerr := 0.1e-10; > glob_log10_abserr := 0.1e-10; > glob_large_float := 9.0e100; > years_in_century := 100.0; > glob_initial_pass := true; > glob_max_opt_iter := 10; > glob_subiter_method := 3; > glob_max_minutes := 0.0; > glob_smallish_float := 0.1e-100; > glob_optimal_clock_start_sec := 0.0; > glob_max_hours := 0.0; > glob_dump_analytic := false; > glob_look_poles := false; > glob_disp_incr := 0.1; > glob_max_sec := 10000.0; > glob_hmin_init := 0.001; > glob_hmin := 0.00000000001; > glob_not_yet_finished := true; > days_in_year := 365.0; > glob_html_log := true; > glob_max_trunc_err := 0.1e-10; > glob_max_rel_trunc_err := 0.1e-10; > glob_clock_start_sec := 0.0; > djd_debug := true; > glob_optimal_expect_sec := 0.1; > glob_iter := 0; > glob_last_good_h := 0.1; > glob_h := 0.1; > glob_not_yet_start_msg := true; > min_in_hour := 60.0; > glob_curr_iter_when_opt := 0; > glob_max_iter := 1000; > glob_hmax := 1.0; > glob_optimal_done := false; > glob_almost_1 := 0.9990; > glob_percent_done := 0.0; > glob_log10relerr := 0.0; > glob_start := 0; > glob_optimal_start := 0.0; > sec_in_min := 60.0; > glob_dump := false; > glob_small_float := 0.1e-50; > glob_no_eqs := 0; > glob_clock_sec := 0.0; > hours_in_day := 24.0; > djd_debug2 := true; > glob_log10normmin := 0.1; > glob_log10abserr := 0.0; > glob_orig_start_sec := 0.0; > glob_warned2 := false; > glob_unchanged_h_cnt := 0; > glob_abserr := 0.1e-10; > glob_normmax := 0.0; > MAX_UNCHANGED := 10; > glob_current_iter := 0; > glob_log10_relerr := 0.1e-10; > glob_reached_optimal_h := false; > centuries_in_millinium := 10.0; > glob_display_flag := true; > #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/mtest8postode.ode#################"); > omniout_str(ALWAYS,"diff ( y2 , x , 4 ) = y1 - 1.0;"); > omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits := 32;"); > omniout_str(ALWAYS,"max_terms := 30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := 0.1;"); > omniout_str(ALWAYS,"x_end := 5.1;"); > 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,"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 + sin(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,""); > omniout_str(ALWAYS,""); > 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_tmp0:= Array(1..(max_terms + 1),[]); > array_tmp1:= Array(1..(max_terms + 1),[]); > array_tmp2:= Array(1..(max_terms + 1),[]); > array_tmp3:= Array(1..(max_terms + 1),[]); > array_tmp4:= Array(1..(max_terms + 1),[]); > array_tmp5:= Array(1..(max_terms + 1),[]); > array_type_pole:= Array(1..(max_terms + 1),[]); > array_last_rel_error:= Array(1..(max_terms + 1),[]); > array_pole:= Array(1..(max_terms + 1),[]); > array_x:= Array(1..(max_terms + 1),[]); > array_m1:= Array(1..(max_terms + 1),[]); > array_y2:= Array(1..(max_terms + 1),[]); > array_y1:= Array(1..(max_terms + 1),[]); > array_y2_init:= Array(1..(max_terms + 1),[]); > array_1st_rel_error:= Array(1..(max_terms + 1),[]); > array_norms:= Array(1..(max_terms + 1),[]); > array_y1_init:= Array(1..(max_terms + 1),[]); > array_real_pole := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_y1_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]); > array_poles := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_complex_pole := Array(1..(2+ 1) ,(1..3+ 1),[]); > array_y2_higher := Array(1..(5+ 1) ,(1..max_terms+ 1),[]); > array_y2_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y1_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher_work2 := Array(1..(5+ 1) ,(1..max_terms+ 1),[]); > array_y2_higher_work := Array(1..(5+ 1) ,(1..max_terms+ 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > 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_pole[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_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > 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_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_norms[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > term := 1; > while term <= max_terms do # do number 2 > array_y1_init[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > 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 <=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 <= 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 <= 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 <=5 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 <=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 <= 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 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= max_terms do # do number 3 > array_y1_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3 > ; > ord := ord + 1; > od;# end do number 2 > ; > ord := 1; > while ord <=2 do # do number 2 > term := 1; > while term <= 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 <=5 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 <=5 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 > ; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_y2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_y2[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_1D0[1] := 1.0; > array_const_3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_3[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_3[1] := 3; > array_const_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_4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_4[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_4[1] := 4; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms + 1 do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_const_0D0[1] := 0.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while term <= max_terms do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2 > ; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 0.1; > x_end := 5.1; > 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); > 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] := false; > array_y2_set_initial[1,6] := false; > array_y2_set_initial[1,7] := false; > array_y2_set_initial[1,8] := false; > array_y2_set_initial[1,9] := false; > array_y2_set_initial[1,10] := false; > array_y2_set_initial[1,11] := false; > array_y2_set_initial[1,12] := false; > array_y2_set_initial[1,13] := false; > array_y2_set_initial[1,14] := false; > array_y2_set_initial[1,15] := false; > array_y2_set_initial[1,16] := false; > array_y2_set_initial[1,17] := false; > array_y2_set_initial[1,18] := false; > array_y2_set_initial[1,19] := false; > array_y2_set_initial[1,20] := false; > array_y2_set_initial[1,21] := false; > array_y2_set_initial[1,22] := false; > array_y2_set_initial[1,23] := false; > array_y2_set_initial[1,24] := false; > array_y2_set_initial[1,25] := false; > array_y2_set_initial[1,26] := false; > array_y2_set_initial[1,27] := false; > array_y2_set_initial[1,28] := false; > array_y2_set_initial[1,29] := false; > array_y2_set_initial[1,30] := false; > array_y1_set_initial[2,1] := true; > array_y1_set_initial[2,2] := false; > array_y1_set_initial[2,3] := false; > array_y1_set_initial[2,4] := false; > array_y1_set_initial[2,5] := false; > array_y1_set_initial[2,6] := false; > array_y1_set_initial[2,7] := false; > array_y1_set_initial[2,8] := false; > array_y1_set_initial[2,9] := false; > array_y1_set_initial[2,10] := false; > array_y1_set_initial[2,11] := false; > array_y1_set_initial[2,12] := false; > array_y1_set_initial[2,13] := false; > array_y1_set_initial[2,14] := false; > array_y1_set_initial[2,15] := false; > array_y1_set_initial[2,16] := false; > array_y1_set_initial[2,17] := false; > array_y1_set_initial[2,18] := false; > array_y1_set_initial[2,19] := false; > array_y1_set_initial[2,20] := false; > array_y1_set_initial[2,21] := false; > array_y1_set_initial[2,22] := false; > array_y1_set_initial[2,23] := false; > array_y1_set_initial[2,24] := false; > array_y1_set_initial[2,25] := false; > array_y1_set_initial[2,26] := false; > array_y1_set_initial[2,27] := false; > array_y1_set_initial[2,28] := false; > array_y1_set_initial[2,29] := false; > array_y1_set_initial[2,30] := false; > if glob_html_log then # if number 3 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 3 > ; > #BEGIN SOLUTION CODE > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > order_diff := 4; > #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 <= 5 do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3 > ; > else > subiter := 1; > while subiter <= 5 + 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 := 4; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y2 > #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 := 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 := 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 := 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 := 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 , 4 ) = y1 - 1.0;"); > omniout_str(INFO,"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;"); > 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,"2012-06-15T23:05:02-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"mtest8") > ; > logitem_str(html_log_file,"diff ( y2 , x , 4 ) = y1 - 1.0;") > ; > 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,"mtest8 diffeq.mxt") > ; > logitem_str(html_log_file,"mtest8 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 * diff ( y2 , x , 3 ) ;") > ; > 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, ALWAYS, glob_iolevel, glob_max_terms, DEBUGMASSIVE, INFO, glob_warned, glob_relerr, glob_log10_abserr, glob_large_float, years_in_century, glob_initial_pass, glob_max_opt_iter, glob_subiter_method, glob_max_minutes, glob_smallish_float, glob_optimal_clock_start_sec, glob_max_hours, glob_dump_analytic, glob_look_poles, glob_disp_incr, glob_max_sec, glob_hmin_init, glob_hmin, glob_not_yet_finished, days_in_year, glob_html_log, glob_max_trunc_err, glob_max_rel_trunc_err, glob_clock_start_sec, djd_debug, glob_optimal_expect_sec, glob_iter, glob_last_good_h, glob_h, glob_not_yet_start_msg, min_in_hour, glob_curr_iter_when_opt, glob_max_iter, glob_hmax, glob_optimal_done, glob_almost_1, glob_percent_done, glob_log10relerr, glob_start, glob_optimal_start, sec_in_min, glob_dump, glob_small_float, glob_no_eqs, glob_clock_sec, hours_in_day, djd_debug2, glob_log10normmin, glob_log10abserr, glob_orig_start_sec, glob_warned2, glob_unchanged_h_cnt, glob_abserr, glob_normmax, MAX_UNCHANGED, glob_current_iter, glob_log10_relerr, glob_reached_optimal_h, centuries_in_millinium, glob_display_flag, array_const_1D0, array_const_3, array_const_1, array_const_4, array_const_0D0, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_type_pole, array_last_rel_error, array_pole, array_x, array_m1, array_y2, array_y1, array_y2_init, array_1st_rel_error, array_norms, array_y1_init, array_real_pole, array_y1_set_initial, array_poles, array_complex_pole, array_y2_higher, array_y2_set_initial, array_y1_higher_work, array_y1_higher_work2, array_y1_higher, array_y2_higher_work2, array_y2_higher_work, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; DEBUGL := 3; ALWAYS := 1; glob_iolevel := 5; glob_max_terms := 30; DEBUGMASSIVE := 4; INFO := 2; glob_warned := false; glob_relerr := 0.1*10^(-10); glob_log10_abserr := 0.1*10^(-10); glob_large_float := 0.90*10^101; years_in_century := 100.0; glob_initial_pass := true; glob_max_opt_iter := 10; glob_subiter_method := 3; glob_max_minutes := 0.; glob_smallish_float := 0.1*10^(-100); glob_optimal_clock_start_sec := 0.; glob_max_hours := 0.; glob_dump_analytic := false; glob_look_poles := false; glob_disp_incr := 0.1; glob_max_sec := 10000.0; glob_hmin_init := 0.001; glob_hmin := 0.1*10^(-10); glob_not_yet_finished := true; days_in_year := 365.0; glob_html_log := true; glob_max_trunc_err := 0.1*10^(-10); glob_max_rel_trunc_err := 0.1*10^(-10); glob_clock_start_sec := 0.; djd_debug := true; glob_optimal_expect_sec := 0.1; glob_iter := 0; glob_last_good_h := 0.1; glob_h := 0.1; glob_not_yet_start_msg := true; min_in_hour := 60.0; glob_curr_iter_when_opt := 0; glob_max_iter := 1000; glob_hmax := 1.0; glob_optimal_done := false; glob_almost_1 := 0.9990; glob_percent_done := 0.; glob_log10relerr := 0.; glob_start := 0; glob_optimal_start := 0.; sec_in_min := 60.0; glob_dump := false; glob_small_float := 0.1*10^(-50); glob_no_eqs := 0; glob_clock_sec := 0.; hours_in_day := 24.0; djd_debug2 := true; glob_log10normmin := 0.1; glob_log10abserr := 0.; glob_orig_start_sec := 0.; glob_warned2 := false; glob_unchanged_h_cnt := 0; glob_abserr := 0.1*10^(-10); glob_normmax := 0.; MAX_UNCHANGED := 10; glob_current_iter := 0; glob_log10_relerr := 0.1*10^(-10); glob_reached_optimal_h := false; centuries_in_millinium := 10.0; glob_display_flag := true; 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/mtest8postode.ode#################"); omniout_str(ALWAYS, "diff ( y2 , x , 4 ) = y1 - 1.0;"); omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;") ; omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits := 32;"); omniout_str(ALWAYS, "max_terms := 30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := 0.1;"); omniout_str(ALWAYS, "x_end := 5.1;"); 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, "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 +\tsin(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, ""); omniout_str(ALWAYS, ""); 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_tmp0 := Array(1 .. max_terms + 1, []); array_tmp1 := Array(1 .. max_terms + 1, []); array_tmp2 := Array(1 .. max_terms + 1, []); array_tmp3 := Array(1 .. max_terms + 1, []); array_tmp4 := Array(1 .. max_terms + 1, []); array_tmp5 := Array(1 .. max_terms + 1, []); array_type_pole := Array(1 .. max_terms + 1, []); array_last_rel_error := Array(1 .. max_terms + 1, []); array_pole := Array(1 .. max_terms + 1, []); array_x := Array(1 .. max_terms + 1, []); array_m1 := Array(1 .. max_terms + 1, []); array_y2 := Array(1 .. max_terms + 1, []); array_y1 := Array(1 .. max_terms + 1, []); array_y2_init := Array(1 .. max_terms + 1, []); array_1st_rel_error := Array(1 .. max_terms + 1, []); array_norms := Array(1 .. max_terms + 1, []); array_y1_init := Array(1 .. max_terms + 1, []); array_real_pole := Array(1 .. 3, 1 .. 4, []); array_y1_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []); array_poles := Array(1 .. 3, 1 .. 4, []); array_complex_pole := Array(1 .. 3, 1 .. 4, []); array_y2_higher := Array(1 .. 6, 1 .. max_terms + 1, []); array_y2_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []); array_y1_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []); array_y1_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []); array_y1_higher := Array(1 .. 3, 1 .. max_terms + 1, []); array_y2_higher_work2 := Array(1 .. 6, 1 .. max_terms + 1, []); array_y2_higher_work := Array(1 .. 6, 1 .. max_terms + 1, []); term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp5[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; 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_pole[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_m1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1[term] := 0.; term := term + 1 end do; 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_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1_init[term] := 0.; term := term + 1 end do; 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 <= 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 <= 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 <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 5 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 <= 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 <= max_terms do array_y1_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y1_higher_work2[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 <= 5 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 <= 5 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; array_tmp5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_y1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y1[term] := 0.; term := term + 1 end do; array_y2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y2[term] := 0.; term := term + 1 end do; array_const_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; array_const_3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_3[term] := 0.; term := term + 1 end do; array_const_3[1] := 3; array_const_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_4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_4[term] := 0.; term := term + 1 end do; array_const_4[1] := 4; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; x_start := 0.1; x_end := 5.1; 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); 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] := false; array_y2_set_initial[1, 6] := false; array_y2_set_initial[1, 7] := false; array_y2_set_initial[1, 8] := false; array_y2_set_initial[1, 9] := false; array_y2_set_initial[1, 10] := false; array_y2_set_initial[1, 11] := false; array_y2_set_initial[1, 12] := false; array_y2_set_initial[1, 13] := false; array_y2_set_initial[1, 14] := false; array_y2_set_initial[1, 15] := false; array_y2_set_initial[1, 16] := false; array_y2_set_initial[1, 17] := false; array_y2_set_initial[1, 18] := false; array_y2_set_initial[1, 19] := false; array_y2_set_initial[1, 20] := false; array_y2_set_initial[1, 21] := false; array_y2_set_initial[1, 22] := false; array_y2_set_initial[1, 23] := false; array_y2_set_initial[1, 24] := false; array_y2_set_initial[1, 25] := false; array_y2_set_initial[1, 26] := false; array_y2_set_initial[1, 27] := false; array_y2_set_initial[1, 28] := false; array_y2_set_initial[1, 29] := false; array_y2_set_initial[1, 30] := false; array_y1_set_initial[2, 1] := true; array_y1_set_initial[2, 2] := false; array_y1_set_initial[2, 3] := false; array_y1_set_initial[2, 4] := false; array_y1_set_initial[2, 5] := false; array_y1_set_initial[2, 6] := false; array_y1_set_initial[2, 7] := false; array_y1_set_initial[2, 8] := false; array_y1_set_initial[2, 9] := false; array_y1_set_initial[2, 10] := false; array_y1_set_initial[2, 11] := false; array_y1_set_initial[2, 12] := false; array_y1_set_initial[2, 13] := false; array_y1_set_initial[2, 14] := false; array_y1_set_initial[2, 15] := false; array_y1_set_initial[2, 16] := false; array_y1_set_initial[2, 17] := false; array_y1_set_initial[2, 18] := false; array_y1_set_initial[2, 19] := false; array_y1_set_initial[2, 20] := false; array_y1_set_initial[2, 21] := false; array_y1_set_initial[2, 22] := false; array_y1_set_initial[2, 23] := false; array_y1_set_initial[2, 24] := false; array_y1_set_initial[2, 25] := false; array_y1_set_initial[2, 26] := false; array_y1_set_initial[2, 27] := false; array_y1_set_initial[2, 28] := false; array_y1_set_initial[2, 29] := false; array_y1_set_initial[2, 30] := false; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; order_diff := 4; 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 <= 5 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 5 + 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 := 4; 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 := 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 := 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 := 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 := 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 , 4 ) = y1 - 1.0;"); omniout_str(INFO, "diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;"); 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, "2012-06-15T23:05:02-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "mtest8") ; logitem_str(html_log_file, "diff ( y2 , x , 4 ) = y1 - 1.0;"); 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, "mtest8 diffeq.mxt"); logitem_str(html_log_file, "mtest8 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 * diff ( y2 , x , 3 ) ;"); 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/mtest8postode.ode################# diff ( y2 , x , 4 ) = y1 - 1.0; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ; ! #BEGIN FIRST INPUT BLOCK Digits := 32; max_terms := 30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.1; x_end := 5.1; 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); 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 + sin(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; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y2[1] (analytic) = 1.0998334166468281523068141984106 y2[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % h = 0.001 y1[1] (analytic) = 1.0998334166468281523068141984106 y1[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % h = 0.001 x[1] = 0.1 y2[1] (analytic) = 1.0998334166468281523068141984106 y2[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % h = 0.001 y1[1] (analytic) = 1.0998334166468281523068141984106 y1[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % h = 0.001 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=3.1MB, time=0.18 NO POLE NO POLE x[1] = 0.101 y2[1] (analytic) = 1.1008283707295679951297521195232 y2[1] (numeric) = 1.100828370729562157183038504093 absolute error = 5.8379467136154302e-15 relative error = 5.3032306114588624519980605911872e-13 % h = 0.001 y1[1] (analytic) = 1.1008283707295679951297521195232 y1[1] (numeric) = 1.1008318740131052080279606730552 absolute error = 3.5032835372128982085535320e-06 relative error = 0.00031824066588065096494565212313096 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.102 y2[1] (analytic) = 1.1018232239839455107486422960806 y2[1] (numeric) = 1.1018232239646465109418886469299 absolute error = 1.92989998067536491507e-11 relative error = 1.7515513729119628520006726024209e-09 % h = 0.001 memory used=7.6MB, alloc=4.3MB, time=0.37 y1[1] (analytic) = 1.1018232239839455107486422960806 y1[1] (numeric) = 1.1018303708975022212301580387922 absolute error = 7.1469135567104815157427116e-06 relative error = 0.0006486443016574696963758910851686 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.103 y2[1] (analytic) = 1.1028179754151075276904042105046 y2[1] (numeric) = 1.1028179752506484184803865046703 absolute error = 1.644591092100177058343e-10 relative error = 1.4912625009409578842238129914880e-08 % h = 0.001 y1[1] (analytic) = 1.1028179754151075276904042105046 y1[1] (numeric) = 1.1028289062958569314099413161518 absolute error = 1.09308807494037195371056472e-05 relative error = 0.00099117723804685611958939191897789 % h = 0.001 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.3MB, time=0.59 NO POLE NO POLE x[1] = 0.104 y2[1] (analytic) = 1.1038126240283026976889707546695 y2[1] (numeric) = 1.1038126233837582369253465163054 absolute error = 6.445444607636242383641e-10 relative error = 5.8392561086264362956498223555972e-08 % h = 0.001 y1[1] (analytic) = 1.1038126240283026976889707546695 y1[1] (numeric) = 1.103827479203825833552081067892 absolute error = 1.48551755231358631103132225e-05 relative error = 0.0013458059094235330771401629082963 % h = 0.001 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.4MB, time=0.79 NO POLE NO POLE x[1] = 0.105 y2[1] (analytic) = 1.1048071688288824904365536000268 y2[1] (numeric) = 1.1048071670577928222476630889443 absolute error = 1.7710896681888905110825e-09 relative error = 1.6030758291207330630590765172766e-07 % h = 0.001 y1[1] (analytic) = 1.1048071688288824904365536000268 y1[1] (numeric) = 1.1048260886168851681209179993989 absolute error = 1.89197880026776843643993721e-05 relative error = 0.0017124968534312675455985695202768 % h = 0.001 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.4MB, time=0.99 NO POLE NO POLE x[1] = 0.106 y2[1] (analytic) = 1.1058016088223021882320906180187 y2[1] (numeric) = 1.1058016048641989798793435050105 absolute error = 3.9581032083527471130082e-09 relative error = 3.5793972234930960089343238097591e-07 % h = 0.001 y1[1] (analytic) = 1.1058016088223021882320906180187 y1[1] (numeric) = 1.1058247335303319113742736846095 absolute error = 2.31247080297231421830665908e-05 relative error = 0.002091216710595253666077746768113 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.107 y2[1] (analytic) = 1.1067959430141218805258807024165 y2[1] (numeric) = 1.1067959352920570193445346167291 absolute error = 7.7220648611813460856874e-09 relative error = 6.9769544331287979511036583125319e-07 % h = 0.001 y1[1] (analytic) = 1.1067959430141218805258807024165 y1[1] (numeric) = 1.1068234129392847659989816415693 absolute error = 2.74699251628854731009391528e-05 relative error = 0.002481932223936149501908822580314 % h = 0.001 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.4MB, time=1.20 NO POLE NO POLE x[1] = 0.108 y2[1] (analytic) = 1.1077901704100074583594114490316 y2[1] (numeric) = 1.1077901567280844129156880213166 absolute error = 1.36819230454437234277150e-08 relative error = 1.2350644924372155146649845460894e-06 % h = 0.001 y1[1] (analytic) = 1.1077901704100074583594114490316 y1[1] (numeric) = 1.1078221258386851520670825210499 absolute error = 3.19554286776937076710720183e-05 relative error = 0.0028846102385857594808113517784073 % h = 0.001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.4MB, time=1.40 NO POLE NO POLE x[1] = 0.109 y2[1] (analytic) = 1.1087842900157316086993852530554 y2[1] (numeric) = 1.1087842674566395583059047907746 absolute error = 2.25590920503934804622808e-08 relative error = 2.0345789756881754213117120934892e-06 % h = 0.001 y1[1] (analytic) = 1.1087842900157316086993852530554 y1[1] (numeric) = 1.1088208712232981983117267118642 absolute error = 3.65812075665896123414588088e-05 relative error = 0.0032992177014043545226035826302841 % h = 0.001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.4MB, time=1.61 NO POLE NO POLE x[1] = 0.11 y2[1] (analytic) = 1.1097783008371748086649494900834 y2[1] (numeric) = 1.1097782656597256454083971848329 absolute error = 3.51774491632565523052505e-08 relative error = 3.1697726597032951632110267618510e-06 % h = 0.001 y1[1] (analytic) = 1.1097783008371748086649494900834 y1[1] (numeric) = 1.1098196480877137337218272076338 absolute error = 4.13472505389250568777175504e-05 relative error = 0.0037257216605996218969323951415833 % h = 0.001 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.4MB, time=1.82 NO POLE NO POLE x[1] = 0.111 y2[1] (analytic) = 1.1107722018803263196471365536769 y2[1] (numeric) = 1.1107721494169946270939011044802 absolute error = 5.24633316925532354491967e-08 relative error = 4.7231404966511388722865816713642e-06 % h = 0.001 y1[1] (analytic) = 1.1107722018803263196471365536769 y1[1] (numeric) = 1.1108184554263472794545051217804 absolute error = 4.62535460209598073685681035e-05 relative error = 0.0041640892653472368986766969493029 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.112 y2[1] (analytic) = 1.1117659921512851813195196301052 y2[1] (numeric) = 1.1117659167057512940767693467678 absolute error = 7.54455338872427502833374e-08 relative error = 6.7860983714076756053203981524289e-06 % h = 0.001 y1[1] (analytic) = 1.1117659921512851813195196301052 y1[1] (numeric) = 1.1118172922334410410643697804365 absolute error = 5.13000821558597448501503313e-05 relative error = 0.0046142877654130484715924635264519 % h = 0.001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.4MB, time=2.02 NO POLE NO POLE x[1] = 0.113 y2[1] (analytic) = 1.1127596706562612055390901996952 y2[1] (numeric) = 1.1127595654009574538603719992741 absolute error = 1.052553037516787182004211e-07 relative error = 9.4589430698547283241255708940532e-06 % h = 0.001 y1[1] (analytic) = 1.1127596706562612055390901996952 y1[1] (numeric) = 1.1128161575030649010486748667958 absolute error = 5.64868468036955095846671006e-05 relative error = 0.005076284510776870953424174701939 % h = 0.001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.4MB, time=2.23 NO POLE NO POLE x[1] = 0.114 y2[1] (analytic) = 1.1137532364015759701363633639937 y2[1] (numeric) = 1.1137530932752362137723265648738 absolute error = 1.431263397563640367991199e-07 relative error = 1.2850812467112621880984385082256e-05 % h = 0.001 y1[1] (analytic) = 1.1137532364015759701363633639937 y1[1] (numeric) = 1.1138150502291174117073916351559 absolute error = 6.18138275414415710282711622e-05 relative error = 0.0055500469512578741581078284851093 % h = 0.001 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.4MB, time=2.43 NO POLE NO POLE x[1] = 0.115 y2[1] (analytic) = 1.1147466883936638125937172087197 y2[1] (numeric) = 1.1147464979988763680999766343712 absolute error = 1.903947874444937405743485e-07 relative error = 1.7079645934526190331321700047219e-05 % h = 0.001 y1[1] (analytic) = 1.1147466883936638125937172087197 y1[1] (numeric) = 1.1148139694053267883172397585413 absolute error = 6.72810116629757235225498216e-05 relative error = 0.0060355426361415640528366921295391 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=49.5MB, alloc=4.4MB, time=2.64 x[1] = 0.116 y2[1] (analytic) = 1.1157400256390728236109725242508 y2[1] (numeric) = 1.1157397771398368893364341262288 absolute error = 2.484992359342745383980220e-07 relative error = 2.2272144964230293046660797143383e-05 % h = 0.001 y1[1] (analytic) = 1.1157400256390728236109725242508 y1[1] (numeric) = 1.115812914025251902618715920337 absolute error = 7.28883861790790077433960862e-05 relative error = 0.0065327392138083463296541539615499 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.117 y2[1] (analytic) = 1.1167332471444658405572193181459 y2[1] (numeric) = 1.116732928163751523547396289155 absolute error = 3.189807143170098230289909e-07 relative error = 2.8563734010127933855338261581550e-05 % h = 0.001 y1[1] (analytic) = 1.1167332471444658405572193181459 y1[1] (numeric) = 1.1168118830822832766151598078116 absolute error = 7.86359378174360579404896657e-05 relative error = 0.0070416044313636652128801304593423 % h = 0.001 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.4MB, time=2.85 NO POLE NO POLE x[1] = 0.118 y2[1] (analytic) = 1.117726351916621440807896667961 y2[1] (numeric) = 1.1177259484339334898688448148077 absolute error = 4.034826879509390518531533e-07 relative error = 3.6098521544120978102007957620492e-05 % h = 0.001 y1[1] (analytic) = 1.117726351916621440807896667961 y1[1] (numeric) = 1.117810875569644076682896713765 absolute error = 8.45236530226358750000458040e-05 relative error = 0.0075621061342697098850701116092063 % h = 0.001 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.4MB, time=3.07 NO POLE NO POLE x[1] = 0.119 y2[1] (analytic) = 1.1187193389624349349661325773612 y2[1] (numeric) = 1.1187188352113802841456305344284 absolute error = 5.037510546508205020429328e-07 relative error = 4.5029261326440319393144969885141e-05 % h = 0.001 y1[1] (analytic) = 1.1187193389624349349661325773612 y1[1] (numeric) = 1.1188098904803911079914955017987 absolute error = 9.05515179561730253629244375e-05 relative error = 0.0080942122659786809553507327868246 % h = 0.001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.4MB, time=3.28 NO POLE NO POLE x[1] = 0.12 y2[1] (analytic) = 1.119712207288919359967350614271 y2[1] (numeric) = 1.1197115856547785867208432749388 absolute error = 6.216341407732465073393322e-07 relative error = 5.5517313888929161185823619283497e-05 % h = 0.001 y1[1] (analytic) = 1.119712207288919359967350614271 y1[1] (numeric) = 1.1198089268074158092331802408771 absolute error = 9.67195184964492658296266061e-05 relative error = 0.0086378908675676094348743703266302 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.121 y2[1] (analytic) = 1.1207049559032064720661502265403 y2[1] (numeric) = 1.1207041968205092743857625270216 absolute error = 7.590826971976803876995187e-07 relative error = 6.7732608230139848580011467798716e-05 % h = 0.001 y1[1] (analytic) = 1.1207049559032064720661502265403 y1[1] (numeric) = 1.1208079835434452476604333659313 absolute error = 0.000103027640238775594283139391 relative error = 0.0091931100773747207247892860953305 % h = 0.001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.4MB, time=3.50 NO POLE NO POLE x[1] = 0.122 y2[1] (analytic) = 1.1216975838125477397044677483272 y2[1] (numeric) = 1.1216966656626525365000806300567 absolute error = 9.181498952032043871182705e-07 relative error = 8.1853603721111412987303157008045e-05 % h = 0.001 y1[1] (analytic) = 1.1216975838125477397044677483272 y1[1] (numeric) = 1.1218070596810431144308277732434 absolute error = 0.0001094758684953747263600249162 relative error = 0.0097598381306373361625328975146975 % h = 0.001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.4MB, time=3.73 NO POLE NO POLE x[1] = 0.123 y2[1] (analytic) = 1.1226900900243153362600252291201 y2[1] (numeric) = 1.1226889890329930952919862066092 absolute error = 1.1009913222409680390225109e-06 relative error = 9.8067252220701677066026317947199e-05 % h = 0.001 y1[1] (analytic) = 1.1226900900243153362600252291201 y1[1] (numeric) = 1.122806154212610720258124812251 absolute error = 0.0001160641882953839980995831309 relative error = 0.010338043359131304712425416220328 % h = 0.001 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.4MB, time=3.96 NO POLE NO POLE x[1] = 0.124 y2[1] (analytic) = 1.1236824735460031326740743370329 y2[1] (numeric) = 1.1236811636810255303475915825569 absolute error = 1.3098649776023264827544760e-06 relative error = 0.00011656896039935440972642097694404 % h = 0.001 y1[1] (analytic) = 1.1236824735460031326740743370329 y1[1] (numeric) = 1.1238052661303879913686746892214 absolute error = 0.0001227925843848586946003521885 relative error = 0.010927694190811957426470962010926 % h = 0.001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.4MB, time=4.19 NO POLE NO POLE x[1] = 0.125 y2[1] (analytic) = 1.1246747333852276899574427087121 y2[1] (numeric) = 1.1246731862539597072990839080106 absolute error = 1.5471312679826583588007015e-06 relative error = 0.00013756255227018862141039619240478 % h = 0.001 y1[1] (analytic) = 1.1246747333852276899574427087121 y1[1] (numeric) = 1.124804394426454465762155352966 absolute error = 0.0001296610412267758047126442539 relative error = 0.011528759149456577340964888651895 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.126 y2[1] (analytic) = 1.1256668685497292515738902398917 y2[1] (numeric) = 1.1256650532967263107208756490189 absolute error = 1.8152530029408530145908728e-06 relative error = 0.00016126023192630364852633151756926 % h = 0.001 y1[1] (analytic) = 1.1256668685497292515738902398917 y1[1] (numeric) = 1.1258035380927302897756854883983 absolute error = 0.0001366695430010382017952485066 relative error = 0.012141206854308377513961013243601 % h = 0.001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.4MB, time=4.41 NO POLE NO POLE x[1] = 0.127 y2[1] (analytic) = 1.1266588780473727356997829333235 y2[1] (numeric) = 1.1266567612519824812429260507663 absolute error = 2.1167953902544568568825572e-06 relative error = 0.00018788254648320019315651715460884 % h = 0.001 y1[1] (analytic) = 1.1266588780473727356997829333235 y1[1] (numeric) = 1.126802696120977214950346800285 absolute error = 0.0001438180736044792505638669615 relative error = 0.012765006019721979947872268631678 % h = 0.001 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.4MB, time=4.62 NO POLE NO POLE x[1] = 0.128 y2[1] (analytic) = 1.1276507608861487273590920444897 y2[1] (numeric) = 1.1276483064601175568903010796625 absolute error = 2.4544260311704687909648272e-06 relative error = 0.00021765834922522396023700608309131 % h = 0.001 y1[1] (analytic) = 1.1276507608861487273590920444897 y1[1] (numeric) = 1.1278018675027995951991503269972 absolute error = 0.0001511066166508678400582825075 relative error = 0.013400125454810388180464535661306 % h = 0.001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.4MB, time=4.84 NO POLE NO POLE x[1] = 0.129 y2[1] (analytic) = 1.128642516074174470432726390184 y2[1] (numeric) = 1.1286396851592589186579352344973 absolute error = 2.8309149155517747911556867e-06 relative error = 0.00025082476295494496961868083547999 % h = 0.001 y1[1] (analytic) = 1.128642516074174470432726390184 y1[1] (numeric) = 1.1288010512296453842754810824405 absolute error = 0.0001585351554709138427546922565 relative error = 0.014046534063093446366257583659546 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=91.5MB, alloc=4.4MB, time=5.06 x[1] = 0.13 y2[1] (analytic) = 1.1296341426196948595412058107083 y2[1] (numeric) = 1.1296308934852779403294544757849 absolute error = 3.2491344169192117513349234e-06 relative error = 0.00028762714354439201503393661467357 % h = 0.001 y1[1] (analytic) = 1.1296341426196948595412058107083 y1[1] (numeric) = 1.1298002462928071335410548836287 absolute error = 0.0001661036731122739998490729204 relative error = 0.014704200842147777708870669684438 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.131 y2[1] (analytic) = 1.1306256395310834317996839030976 y2[1] (numeric) = 1.130621927471796042548815357662 absolute error = 3.7120592873892508685454356e-06 relative error = 0.00032831904368706809629321088726258 % h = 0.001 y1[1] (analytic) = 1.1306256395310834317996839030976 y1[1] (numeric) = 1.1307994516834229900324207815651 absolute error = 0.0001738121523395582327368784675 relative error = 0.015373094883258195143144921637123 % h = 0.001 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.4MB, time=5.45 NO POLE NO POLE x[1] = 0.132 y2[1] (analytic) = 1.1316170058168433584443282704301 y2[1] (numeric) = 1.1316127830501908511534112583232 absolute error = 4.2227666525072909170121069e-06 relative error = 0.00037316217684967896529526132221449 % h = 0.001 y1[1] (analytic) = 1.1316170058168433584443282704301 y1[1] (numeric) = 1.1317986663924776948250420742127 absolute error = 0.0001816605756343363807138037826 relative error = 0.016053185371070577203941653237097 % h = 0.001 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.4MB, time=5.99 NO POLE NO POLE x[1] = 0.133 y2[1] (analytic) = 1.1326082404856084363290666609268 y2[1] (numeric) = 1.1326034560496024597771923930898 absolute error = 4.7844360059765518742678370e-06 relative error = 0.00042242638142251320092819664678213 % h = 0.001 y1[1] (analytic) = 1.1326082404856084363290666609268 y1[1] (numeric) = 1.1327978894108035816939884423634 absolute error = 0.0001896489251951453649217814366 relative error = 0.016744441583246202056356710062069 % h = 0.001 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.4MB, time=6.54 NO POLE NO POLE x[1] = 0.134 y2[1] (analytic) = 1.1335993425461440792917075001763 y2[1] (numeric) = 1.1335939421969397967322420589048 absolute error = 5.4003492042825594654412715e-06 relative error = 0.00047638958506741846293637256335138 % h = 0.001 y1[1] (analytic) = 1.1335993425461440792917075001763 y1[1] (numeric) = 1.1337971197290815760702713121655 absolute error = 0.0001977771829374967785638119892 relative error = 0.017446832890117532699707299947953 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.135 y2[1] (analytic) = 1.1345903110073483093884434504466 y2[1] (numeric) = 1.134584237116887096177147300439 absolute error = 6.0738904612132112961500076e-06 relative error = 0.00053533776926232477060095575351747 % h = 0.001 y1[1] (analytic) = 1.1345903110073483093884434504466 y1[1] (numeric) = 1.1347963563378421942918541119323 absolute error = 0.0002060453304938849034106614857 relative error = 0.018160328754345446395040978253659 % h = 0.001 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.4MB, time=7.05 NO POLE NO POLE x[1] = 0.136 y2[1] (analytic) = 1.1355811448782527479957467626642 y2[1] (numeric) = 1.135574336331910473580397906177 absolute error = 6.8085463422744153488564872e-06 relative error = 0.00059956493404127180889683133060558 % h = 0.001 y1[1] (analytic) = 1.1355811448782527479957467626642 y1[1] (numeric) = 1.135795598227466543148368655637 absolute error = 0.0002144533492137951526218929728 relative error = 0.018884898730577901403087990778604 % h = 0.001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.5MB, time=7.59 NO POLE NO POLE x[1] = 0.137 y2[1] (analytic) = 1.1365718431680236067786653192461 y2[1] (numeric) = 1.1365642352622646054869433379312 absolute error = 7.6079057590012917219813149e-06 relative error = 0.00066937306292890338291121525895252 % h = 0.001 y1[1] (analytic) = 1.1365718431680236067786653192461 y1[1] (numeric) = 1.1367948443881873197185684511976 absolute error = 0.0002230012201637129399031319515 relative error = 0.019620512465110034156529465794464 % h = 0.001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.5MB, time=8.17 NO POLE NO POLE x[1] = 0.138 y2[1] (analytic) = 1.1375624048859626785245283995723 y2[1] (numeric) = 1.1375539292259995135959328693112 absolute error = 8.4756599631649285955302611e-06 relative error = 0.000745072088068398221003517539798 % h = 0.001 y1[1] (analytic) = 1.1375624048859626785245283995723 y1[1] (numeric) = 1.1377940938100898114995492982759 absolute error = 0.0002316889241271329750208987036 relative error = 0.020367139695545680027186422225864 % h = 0.001 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.5MB, time=8.78 NO POLE NO POLE x[1] = 0.139 y2[1] (analytic) = 1.1385528290415083278410713344755 y2[1] (numeric) = 1.1385434134389674531575598578534 absolute error = 9.4156025408746835114766221e-06 relative error = 0.00082697985554181236871343354181933 % h = 0.001 y1[1] (analytic) = 1.1385528290415083278410713344755 y1[1] (numeric) = 1.1387933454831128968267671078505 absolute error = 0.000240516441604568985695773375 relative error = 0.021124750250460310885249644513102 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.14 y2[1] (analytic) = 1.1395431146442364817179883517054 y2[1] (numeric) = 1.1395326830148299056968267018969 absolute error = 1.04316294065760211616498085e-05 relative error = 0.00091542209088181441904475072246596 % h = 0.001 y1[1] (analytic) = 1.1395431146442364817179883517054 y1[1] (numeric) = 1.1397925983970500455838824442818 absolute error = 0.0002494837528135638658940925764 relative error = 0.021893314049065382683969577032874 % h = 0.001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.5MB, time=9.29 NO POLE NO POLE x[1] = 0.141 y2[1] (analytic) = 1.1405332607038616199509230508977 y2[1] (numeric) = 1.1405217329650646760719426369778 absolute error = 1.15277387969438789804139199e-05 relative error = 0.0010107323647738007907238735788432 % h = 0.001 y1[1] (analytic) = 1.1405332607038616199509230508977 y1[1] (numeric) = 1.1407918515415503202014608599646 absolute error = 0.0002585908376887002505378090669 relative error = 0.022672801100874086339309912600732 % h = 0.001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.5MB, time=9.81 NO POLE NO POLE x[1] = 0.142 y2[1] (analytic) = 1.1415232662302377654269060841403 y2[1] (numeric) = 1.1415105581989730938749621076064 absolute error = 1.27080312646715519439765339e-05 relative error = 0.0011132520589473841946106294458042 % h = 0.001 y1[1] (analytic) = 1.1415232662302377654269060841403 y1[1] (numeric) = 1.141791103906119376943557662962 absolute error = 0.0002678376758816115166515788217 relative error = 0.023463181505368495209939881675193 % h = 0.001 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.5MB, time=10.30 NO POLE NO POLE x[1] = 0.143 y2[1] (analytic) = 1.1425131302333594742702497567803 y2[1] (numeric) = 1.1424991535236873191821670088944 absolute error = 1.39767096721550880827478859e-05 relative error = 0.0012233303322562543198786863166716 % h = 0.001 y1[1] (analytic) = 1.1425131302333594742702497567803 y1[1] (numeric) = 1.1427903544801204674812153292346 absolute error = 0.0002772242467609932109655724543 relative error = 0.024264425451668102518599772701916 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=133.5MB, alloc=4.5MB, time=10.79 x[1] = 0.144 y2[1] (analytic) = 1.143502851723362825847909402661 y2[1] (numeric) = 1.143487513644177752661591628715 absolute error = 1.53380791850731863177739460e-05 relative error = 0.0013413240869454156261361973871828 % h = 0.001 y1[1] (analytic) = 1.143502851723362825847909402661 y1[1] (numeric) = 1.1437896022527754407519013432208 absolute error = 0.0002867505294126149039919405598 relative error = 0.025076503218199742091323300305421 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.145 y2[1] (analytic) = 1.1444924297105264126333215285089 y2[1] (numeric) = 1.1444756331632605500449846350067 absolute error = 1.67965472658625883368935022e-05 relative error = 0.0014675979351048129455745462745675 % h = 0.001 y1[1] (analytic) = 1.1444924297105264126333215285089 y1[1] (numeric) = 1.1447888462131657451039138235878 absolute error = 0.0002964165026393324705922950789 relative error = 0.02589938517236888582624044924865 % h = 0.001 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.5MB, time=11.28 NO POLE NO POLE x[1] = 0.146 y2[1] (analytic) = 1.1454818632052723299277288637166 y2[1] (numeric) = 1.1454635065816052409713979445781 absolute error = 1.83566236670889563309191385e-05 relative error = 0.0016025241653083613807629336364597 % h = 0.001 y1[1] (analytic) = 1.1454818632052723299277288637166 y1[1] (numeric) = 1.1457880853502334307247818649614 absolute error = 0.0003062221449611007970530012448 relative error = 0.026733041770232311338716709646639 % h = 0.001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.5MB, time=11.77 NO POLE NO POLE x[1] = 0.147 y2[1] (analytic) = 1.1464711512181671654380025942768 y2[1] (numeric) = 1.1464511282977424522094877794377 absolute error = 2.00229204247132285148148391e-05 relative error = 0.0017464827094374027290958349234875 % h = 0.001 y1[1] (analytic) = 1.1464711512181671654380025942768 y1[1] (numeric) = 1.1467873186527821523526871013531 absolute error = 0.0003161674346149869146845070763 relative error = 0.027577443556172133264410526142036 % h = 0.001 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.5MB, time=12.28 NO POLE NO POLE x[1] = 0.148 y2[1] (analytic) = 1.1474602927599229887099722031298 y2[1] (numeric) = 1.1474384926080717352655086643596 absolute error = 2.18001518512534444635387702e-05 relative error = 0.0018998611096876163743940860138167 % h = 0.001 y1[1] (analytic) = 1.1474602927599229887099722031298 y1[1] (numeric) = 1.1477865451094781722699325728394 absolute error = 0.0003262523495551835599603697096 relative error = 0.028432561162571191736451642793493 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.149 y2[1] (analytic) = 1.148449286841398340416273483676 y2[1] (numeric) = 1.1484255937068694983838765452087 absolute error = 2.36931345288420323969384673e-05 relative error = 0.0020630544857584182600017438534145 % h = 0.001 y1[1] (analytic) = 1.148449286841398340416273483676 y1[1] (numeric) = 1.1487857637088513635774845538073 absolute error = 0.0003364768674530231612110701313 relative error = 0.029298365309489791587360161106893 % h = 0.001 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.5MB, time=12.76 NO POLE NO POLE x[1] = 0.15 y2[1] (analytic) = 1.1494381324735992214977254386876 y2[1] (numeric) = 1.1494124256862970429470726115911 absolute error = 2.57067873021785506528270965e-05 relative error = 0.0022364655022238871961513776655417 % h = 0.001 y1[1] (analytic) = 1.1494381324735992214977254386876 y1[1] (numeric) = 1.1497849734392962137496125787665 absolute error = 0.0003468409656969922518871400789 relative error = 0.030174826804343785860540854739751 % h = 0.001 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.5MB, time=13.27 NO POLE NO POLE x[1] = 0.151 y2[1] (analytic) = 1.1504268286676800821572469233262 y2[1] (numeric) = 1.1503989825364087042815547897623 absolute error = 2.78461312713778756921335639e-05 relative error = 0.0024205043360842633576297674907154 % h = 0.001 y1[1] (analytic) = 1.1504268286676800821572469233262 y1[1] (numeric) = 1.15078417328907282846765248034 absolute error = 0.0003573446213927463104055570138 relative error = 0.031061916541583997250200906195591 % h = 0.001 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.5MB, time=13.76 NO POLE NO POLE x[1] = 0.152 y2[1] (analytic) = 1.1514153744349448107053240384303 y2[1] (numeric) = 1.1513852581451600968762392325326 absolute error = 3.01162897847138290848058977e-05 relative error = 0.002615588644497069396102068053806 % h = 0.001 y1[1] (analytic) = 1.1514153744349448107053240384303 y1[1] (numeric) = 1.1517833622463079357319168335827 absolute error = 0.0003679878113631250265927951524 relative error = 0.031959605502376971122353044911868 % h = 0.001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.5MB, time=14.25 NO POLE NO POLE x[1] = 0.153 y2[1] (analytic) = 1.1524037687868477222560394286898 y2[1] (numeric) = 1.1523712462984164640200094722448 absolute error = 3.25224884312582360299564450e-05 relative error = 0.0028221435326869101250815562337445 % h = 0.001 y1[1] (analytic) = 1.1524037687868477222560394286898 y1[1] (numeric) = 1.1527825392989958902507767812434 absolute error = 0.0003787705121481679947373525536 relative error = 0.032867864754287053803181358590398 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.154 y2[1] (analytic) = 1.1533920107349945472726747897587 y2[1] (numeric) = 1.1533569406799611318646062208787 absolute error = 3.50700550334154080685688800e-05 relative error = 0.0030406015220330122346986158441932 % h = 0.001 y1[1] (analytic) = 1.1533920107349945472726747897587 y1[1] (numeric) = 1.1537817034349996781059387959769 absolute error = 0.0003896927000051308332640062182 relative error = 0.033786665450959789854465099391675 % h = 0.001 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.5MB, time=14.73 NO POLE NO POLE x[1] = 0.155 y2[1] (analytic) = 1.1543800992911434199618980387873 y2[1] (numeric) = 1.1543423348715040679191460980542 absolute error = 3.77644196393520427519407331e-05 relative error = 0.0032714025183335709583594195452561 % h = 0.001 y1[1] (analytic) = 1.1543800992911434199618980387873 y1[1] (numeric) = 1.1547808536420519216929395178349 absolute error = 0.0004007543509085017310414790476 relative error = 0.034715978831806632088977881793719 % h = 0.001 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.5MB, time=15.22 NO POLE NO POLE x[1] = 0.156 y2[1] (analytic) = 1.1553680334672058665155467542681 y2[1] (numeric) = 1.155327422352690543982412843267 absolute error = 4.06111145153225331339110011e-05 relative error = 0.0035149937802459760443229447949582 % h = 0.001 y1[1] (analytic) = 1.1553680334672058665155467542681 y1[1] (numeric) = 1.1557799889077558849358813886129 absolute error = 0.0004119554405500184203346343448 relative error = 0.035655776221690958111807030330915 % h = 0.001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.5MB, time=15.71 NO POLE NO POLE x[1] = 0.157 y2[1] (analytic) = 1.1563558122752477931990196434946 y2[1] (numeric) = 1.1563121965011099035189598232017 absolute error = 4.36157741378896800598202929e-05 relative error = 0.0037718298879019947823939329032715 % h = 0.001 y1[1] (analytic) = 1.1563558122752477931990196434946 y1[1] (numeric) = 1.1567791082195864787754313888104 absolute error = 0.0004232959443386855764117453158 relative error = 0.036606029030615387206371733938394 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=175.4MB, alloc=4.5MB, time=16.20 x[1] = 0.158 y2[1] (analytic) = 1.1573434347274904742852879493246 y2[1] (numeric) = 1.1572966505923044334849578785255 absolute error = 4.67841351860408003300707991e-05 relative error = 0.0040423727116969951995569253876053 % h = 0.001 y1[1] (analytic) = 1.1573434347274904742852879493246 y1[1] (numeric) = 1.1577782105648912669291047680683 absolute error = 0.0004347758374007926438168187437 relative error = 0.037566708753410391416560341671845 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.159 y2[1] (analytic) = 1.1583308998363115398335388623175 y2[1] (numeric) = 1.158280777799778340609617767279 absolute error = 5.01220365331992239210950385e-05 relative error = 0.0043270913812522978686886950125964 % h = 0.001 y1[1] (analytic) = 1.1583308998363115398335388623175 y1[1] (numeric) = 1.1587772949308914719228552459879 absolute error = 0.0004463950945799320893163836704 relative error = 0.03853778696942419470885782674133 % h = 0.001 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.5MB, time=16.68 NO POLE NO POLE x[1] = 0.16 y2[1] (analytic) = 1.159318206614245963311463159686 y2[1] (numeric) = 1.1592645711950068321379116539478 absolute error = 5.36354192391311735515057382e-05 relative error = 0.0046264622545497500717076972254712 % h = 0.001 y1[1] (analytic) = 1.159318206614245963311463159686 y1[1] (numeric) = 1.1597763603046829813929927472049 absolute error = 0.0004581536904370180815295875189 relative error = 0.039519235342213954130595376136924 % h = 0.001 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.5MB, time=17.18 NO POLE NO POLE x[1] = 0.161 y2[1] (analytic) = 1.1603053540739870490601994488555 y2[1] (numeric) = 1.1602480237474453010402132646283 absolute error = 5.73303265417480199861842272e-05 relative error = 0.0049409688872376213228724391051266 % h = 0.001 y1[1] (analytic) = 1.1603053540739870490601994488555 y1[1] (numeric) = 1.160775405673237354657449322493 absolute error = 0.0004700515992503055972498736375 relative error = 0.040511025619238216912526449514057 % h = 0.001 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.5MB, time=17.67 NO POLE NO POLE x[1] = 0.162 y2[1] (analytic) = 1.1612923412283874196009475507708 y2[1] (numeric) = 1.1612311283245386156943714794877 absolute error = 6.12129038488039065760712831e-05 relative error = 0.0052711020021069244896471244580028 % h = 0.001 y1[1] (analytic) = 1.1612923412283874196009475507708 y1[1] (numeric) = 1.1617744300234028295554134965054 absolute error = 0.0004820887950154099544659457346 relative error = 0.041513129631550647495818700602056 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.163 y2[1] (analytic) = 1.1622791670904600027822637164169 y2[1] (numeric) = 1.1622138776917305140456272640761 absolute error = 6.52893987294887366364523408e-05 relative error = 0.0056173594587372719478322070410844 % h = 0.001 y1[1] (analytic) = 1.1622791670904600027822637164169 y1[1] (numeric) = 1.1627734323419053295543528725277 absolute error = 0.0004942652514453267720891561108 relative error = 0.042525519293495018495250067882221 % h = 0.001 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.5MB, time=18.17 NO POLE NO POLE x[1] = 0.164 y2[1] (analytic) = 1.1632658306733790187670505293435 y2[1] (numeric) = 1.1631962645124731022496789510688 absolute error = 6.95661609059165173715782747e-05 relative error = 0.0059802462233113813747276061057058 % h = 0.001 y1[1] (analytic) = 1.1632658306733790187670505293435 y1[1] (numeric) = 1.1637724116153494711234444153153 absolute error = 0.0005065809419704523563938859718 relative error = 0.043548166602401459641911308957001 % h = 0.001 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.5MB, time=18.65 NO POLE NO POLE x[1] = 0.165 y2[1] (analytic) = 1.1642523309904809668582545072829 y2[1] (numeric) = 1.1641782813482364578040959738143 absolute error = 7.40496422445090541585334686e-05 relative error = 0.0063602743385973509191737649499734 % h = 0.001 y1[1] (analytic) = 1.1642523309904809668582545072829 y1[1] (numeric) = 1.1647713668302195713724314247193 absolute error = 0.0005190358397386045141769174364 relative error = 0.044581043638283958780047459233602 % h = 0.001 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.5MB, time=19.15 NO POLE NO POLE x[1] = 0.166 y2[1] (analytic) = 1.1652386670552656121622845772482 y2[1] (numeric) = 1.1651599206585183371731762227311 absolute error = 7.87463967472749891083545171e-05 relative error = 0.0067579628940978285906153600666093 % h = 0.001 y1[1] (analytic) = 1.1652386670552656121622845772482 y1[1] (numeric) = 1.1657702969728806559549258053746 absolute error = 0.0005316299176150437926412281264 relative error = 0.045624122563539109023818313996372 % h = 0.001 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.5MB, time=19.63 NO POLE NO POLE x[1] = 0.167 y2[1] (analytic) = 1.1662248378813969720891647607741 y2[1] (numeric) = 1.1661411748008539879112372452453 absolute error = 8.36630805429841779275155288e-05 relative error = 0.0071738379963652057810676346876945 % h = 0.001 y1[1] (analytic) = 1.1662248378813969720891647607741 y1[1] (numeric) = 1.1667692010295794672351738312214 absolute error = 0.0005443631481824951460090704473 relative error = 0.046677375622646096210724230932574 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.168 y2[1] (analytic) = 1.1672108424827043026884345692303 y2[1] (numeric) = 1.1671220360308260652892265396887 absolute error = 8.88064518782373992080295416e-05 relative error = 0.0076084327394819698742478387077415 % h = 0.001 y1[1] (analytic) = 1.1672108424827043026884345692303 y1[1] (numeric) = 1.1677680779864454727173031980717 absolute error = 0.0005572355037411700288686288414 relative error = 0.047740775141867920819229486282693 % h = 0.001 TOP MAIN SOLVE Loop memory used=205.9MB, alloc=4.5MB, time=20.12 NO POLE NO POLE x[1] = 0.169 y2[1] (analytic) = 1.1681966798731830848198107733898 y2[1] (numeric) = 1.1681024965020746534294312034924 absolute error = 9.41833711084313903795698974e-05 relative error = 0.0080622871757053559053743785813501 % h = 0.001 y1[1] (analytic) = 1.1681966798731830848198107733898 y1[1] (numeric) = 1.1687669268294918737360687528023 absolute error = 0.0005702469563087889162579794125 relative error = 0.048814293528953848548722241959147 % h = 0.001 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.5MB, time=20.60 NO POLE NO POLE x[1] = 0.17 y2[1] (analytic) = 1.1691823490669960101576243766708 y2[1] (numeric) = 1.169082548266307390952962186211 absolute error = 9.98008006886192046621904598e-05 relative error = 0.0085359482862754422134427724436981 % h = 0.001 y1[1] (analytic) = 1.1691823490669960101576243766708 y1[1] (numeric) = 1.1697657465446166144081138840663 absolute error = 0.0005833974776206042504895073955 relative error = 0.049897903272843083790379036657341 % h = 0.001 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.5MB, time=21.09 NO POLE NO POLE x[1] = 0.171 y2[1] (analytic) = 1.1701678490784739670280467877005 y2[1] (numeric) = 1.1700621832733097011445833685071 absolute error = 0.0001056658051642658834634191934 relative error = 0.0090299699523858399753676190024165 % h = 0.001 y1[1] (analytic) = 1.1701678490784739670280467877005 y1[1] (numeric) = 1.1707645361176033908427641566595 absolute error = 0.000596687039129423814717368959 relative error = 0.050991576943369660247753734327623 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=217.4MB, alloc=4.5MB, time=21.57 x[1] = 0.172 y2[1] (analytic) = 1.1711531789221170260781193550527 y2[1] (numeric) = 1.1710413933709551266393506393124 absolute error = 0.0001117855511618994387687157403 relative error = 0.0095449129263161314284392808431968 % h = 0.001 y1[1] (analytic) = 1.1711531789221170260781193550527 y1[1] (numeric) = 1.1717632945341226606113693698629 absolute error = 0.0006101156120056345332500148102 relative error = 0.052095287190968542995987177226738 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.173 y2[1] (analytic) = 1.1721383376125954257756005952159 y2[1] (numeric) = 1.1720201703052157686354210750699 absolute error = 0.000118167307379657140179520146 relative error = 0.010081344802725216474287132224519 % h = 0.001 y1[1] (analytic) = 1.1721383376125954257756005952159 y1[1] (numeric) = 1.1727620207797326524742098192022 absolute error = 0.0006236831671372266986092239863 relative error = 0.053209006746382936298435514145435 % h = 0.001 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.5MB, time=22.07 NO POLE NO POLE x[1] = 0.174 y2[1] (analytic) = 1.1731233241647505577386456140236 y2[1] (numeric) = 1.1729985057201728306372872373483 absolute error = 0.0001248184445777271013583766753 relative error = 0.010639839990104732214170832790275 % h = 0.001 y1[1] (analytic) = 1.1731233241647505577386456140236 y1[1] (numeric) = 1.1737607138398803763639821411257 absolute error = 0.0006373896751298186253365271021 relative error = 0.054332708420372791529243421542594 % h = 0.001 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.5MB, time=22.56 NO POLE NO POLE x[1] = 0.175 y2[1] (analytic) = 1.1741081375935959518943323919514 y2[1] (numeric) = 1.1739763911580272667335864983148 absolute error = 0.0001317464355686851607458936366 relative error = 0.011220979682391714792138511654015 % h = 0.001 y1[1] (analytic) = 1.1741081375935959518943323919514 y1[1] (numeric) = 1.1747593726999026336248797211013 absolute error = 0.0006512351063066817305473291499 relative error = 0.055466365103424509579944307032248 % h = 0.001 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.5MB, time=23.07 NO POLE NO POLE x[1] = 0.176 y2[1] (analytic) = 1.1750927769143182614650497748359 y2[1] (numeric) = 1.1749538180591105344135301776544 absolute error = 0.0001389588552077270515195971815 relative error = 0.011825351830739677719595880204337 % h = 0.001 y1[1] (analytic) = 1.1750927769143182614650497748359 y1[1] (numeric) = 1.1757579963450270275062822475696 absolute error = 0.0006652194307087660412324727337 relative error = 0.056609949765461832157554178290627 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.177 y2[1] (analytic) = 1.1760772411422782477817621837097 y2[1] (numeric) = 1.1759307777618954519258921296393 absolute error = 0.0001464633803827958558700540704 relative error = 0.012453551115447285622321601669184 % h = 0.001 y1[1] (analytic) = 1.1760772411422782477817621837097 y1[1] (numeric) = 1.1767565837603729739100685970715 absolute error = 0.0006793426180947261283064133618 relative error = 0.057763435455557916410840263837553 % h = 0.001 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.5MB, time=23.55 NO POLE NO POLE x[1] = 0.178 y2[1] (analytic) = 1.1770615292930117649231662305697 y2[1] (numeric) = 1.1769072615030071601843912552841 absolute error = 0.0001542677900046047387749752856 relative error = 0.013106178918043807089138769589838 % h = 0.001 y1[1] (analytic) = 1.1770615292930117649231662305697 y1[1] (numeric) = 1.1777551339309527123905668396856 absolute error = 0.0006936046379409474674006091159 relative error = 0.058926795301648587350490765554661 % h = 0.001 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.5MB, time=24.06 NO POLE NO POLE x[1] = 0.179 y2[1] (analytic) = 1.1780456403822307441797546010046 y2[1] (numeric) = 1.1778832604172341892231972319727 absolute error = 0.0001623799649965549565573690319 relative error = 0.013783843293530535010505711098492 % h = 0.001 y1[1] (analytic) = 1.1780456403822307441797546010046 y1[1] (numeric) = 1.1787536458416723174061547586713 absolute error = 0.0007080054594415732264001576667 relative error = 0.060100002510246762557789379893923 % h = 0.001 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.5MB, time=24.55 NO POLE NO POLE x[1] = 0.18 y2[1] (analytic) = 1.1790295734258241783418027396992 y2[1] (numeric) = 1.1788587655375396292061835517194 absolute error = 0.0001708078882845491356191879798 relative error = 0.014487158942777367475415755174343 % h = 0.001 y1[1] (analytic) = 1.1790295734258241783418027396992 y1[1] (numeric) = 1.1797521184773327098215238839176 absolute error = 0.0007225450515085314797211442184 relative error = 0.061283030366158043705108511459671 % h = 0.001 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.5MB, time=25.05 NO POLE NO POLE x[1] = 0.181 y2[1] (analytic) = 1.1800133274398591058102940509108 y2[1] (numeric) = 1.1798337677950724059934467394274 absolute error = 0.0001795596447866998168473114834 relative error = 0.015216747185073746946387920694125 % h = 0.001 y1[1] (analytic) = 1.1800133274398591058102940509108 y1[1] (numeric) = 1.1807505508226306686596196454385 absolute error = 0.0007372233827715628493255945277 relative error = 0.062475852232197469440079476568056 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.182 y2[1] (analytic) = 1.1809969014405815945297995030755 y2[1] (numeric) = 1.1808082580191786612685053842438 absolute error = 0.0001886434214029332612941188317 relative error = 0.015973235930833160055180130659944 % h = 0.001 y1[1] (analytic) = 1.1809969014405815945297995030755 y1[1] (numeric) = 1.1817489418621598431022698607465 absolute error = 0.000752040421578248572470357671 relative error = 0.063678441548907424213677507772114 % h = 0.001 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.5MB, time=25.53 NO POLE NO POLE x[1] = 0.183 y2[1] (analytic) = 1.1819802944444177257423277047451 y2[1] (numeric) = 1.1817822269374132372294873604756 absolute error = 0.0001980675070044885128403442695 relative error = 0.016757259654450404956353624079001 % h = 0.001 y1[1] (analytic) = 1.1819802944444177257423277047451 y1[1] (numeric) = 1.1827472905804117647385133784637 absolute error = 0.0007669961359940389961856737186 relative error = 0.064890771834276697660675066339349 % h = 0.001 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.5MB, time=26.02 NO POLE NO POLE x[1] = 0.184 y2[1] (analytic) = 1.1829635054679745775611616980887 y2[1] (numeric) = 1.1827556651755512658475083396409 absolute error = 0.0002078402924233117136533584478 relative error = 0.017569459367310837742150431096385 % h = 0.001 y1[1] (analytic) = 1.1829635054679745775611616980887 y1[1] (numeric) = 1.1837455959617768600596403100058 absolute error = 0.0007820904938022824984786119171 relative error = 0.066112816683460689168969884936987 % h = 0.001 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.5MB, time=26.50 NO POLE NO POLE x[1] = 0.185 y2[1] (analytic) = 1.1839465335280412083636988962014 y2[1] (numeric) = 1.1837285632575998626953394021793 absolute error = 0.0002179702704413456683594940221 relative error = 0.018410482590950813960502464971405 % h = 0.001 y1[1] (analytic) = 1.1839465335280412083636988962014 y1[1] (numeric) = 1.1847438569905454631999548915916 absolute error = 0.0007973234625042548362559953902 relative error = 0.067344549768502752302185327592867 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=259.4MB, alloc=4.5MB, time=27.00 x[1] = 0.186 y2[1] (analytic) = 1.1849293776415896400023107714653 y2[1] (numeric) = 1.1847009116058099253493562462397 absolute error = 0.0002284660357797146529545252256 relative error = 0.019280983330368545788556993683256 % h = 0.001 y1[1] (analytic) = 1.1849293776415896400023107714653 y1[1] (numeric) = 1.185742072650908828922271630196 absolute error = 0.0008126950093191889199608587307 relative error = 0.068585944838056673767671089653092 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.187 y2[1] (analytic) = 1.185912036825775840832239084182 y2[1] (numeric) = 1.1856727005406880363676571619135 absolute error = 0.0002393362850878044645819222685 relative error = 0.020181622047484599897063678028842 % h = 0.001 y1[1] (analytic) = 1.185912036825775840832239084182 y1[1] (numeric) = 1.1867402419269601458471549993717 absolute error = 0.0008282051011843050149159151897 relative error = 0.069836975717110281649602983753944 % h = 0.001 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.5MB, time=27.49 NO POLE NO POLE x[1] = 0.188 y2[1] (analytic) = 1.1868945100979407085555456236643 y2[1] (numeric) = 1.1866439202810084708471315923813 absolute error = 0.000250589816932237708414031283 relative error = 0.021113065634751265496506381799553 % h = 0.001 y1[1] (analytic) = 1.1868945100979407085555456236643 y1[1] (numeric) = 1.1877383638026955499249125641212 absolute error = 0.0008438537047548413693669404569 relative error = 0.071097616306710177654292575797302 % h = 0.001 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.5MB, time=27.98 NO POLE NO POLE x[1] = 0.189 y2[1] (analytic) = 1.187876796475611052880132617919 y2[1] (numeric) = 1.1876145609438253085621557388005 absolute error = 0.0002622355317857443179768791185 relative error = 0.022075987388910026484160638867107 % h = 0.001 y1[1] (analytic) = 1.187876796475611052880132617919 y1[1] (numeric) = 1.1887364372620151381493510282011 absolute error = 0.0008596407864040852692184102821 relative error = 0.072367840583687588142071750165192 % h = 0.001 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.5MB, time=28.47 NO POLE NO POLE x[1] = 0.19 y2[1] (analytic) = 1.1888588949765005779928511529813 y2[1] (numeric) = 1.188584612544484650687486283485 absolute error = 0.0002742824320159273053648694963 relative error = 0.023071066984896376012495771186219 % h = 0.001 y1[1] (analytic) = 1.1888588949765005779928511529813 y1[1] (numeric) = 1.1897344612887239825123043123903 absolute error = 0.000875566312223404519453159409 relative error = 0.07364762260038532874721489019948 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.191 y2[1] (analytic) = 1.189840804618510864845715128875 y2[1] (numeric) = 1.1895540649966369411078179061168 absolute error = 0.0002867396218739237378972227582 relative error = 0.024098990449891216173698670855389 % h = 0.001 y1[1] (analytic) = 1.189840804618510864845715128875 y1[1] (numeric) = 1.1907324348665331441979423883484 absolute error = 0.0008916302480222793522272594734 relative error = 0.074936936484385877414303245642172 % h = 0.001 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.5MB, time=28.95 NO POLE NO POLE x[1] = 0.192 y2[1] (analytic) = 1.1908225244197323532542384660668 y2[1] (numeric) = 1.1905229081122493923163648504885 absolute error = 0.0002996163074829609378736155783 relative error = 0.025160450137518089842752388307801 % h = 0.001 y1[1] (analytic) = 1.1908225244197323532542384660668 y1[1] (numeric) = 1.1917303569790606880158692097364 absolute error = 0.0009078325593283347616307436696 relative error = 0.076235756438240550706223205143003 % h = 0.001 TOP MAIN SOLVE Loop memory used=278.4MB, alloc=4.5MB, time=29.44 NO POLE NO POLE x[1] = 0.193 y2[1] (analytic) = 1.1918040533984453238069134641578 y2[1] (numeric) = 1.1914911316016185159047213647106 absolute error = 0.0003129217968268079021920994472 relative error = 0.026256144702185496042633838287768 % h = 0.001 y1[1] (analytic) = 1.1918040533984453238069134641578 y1[1] (numeric) = 1.1927282266098326970720177002627 absolute error = 0.0009241732113873732651042361049 relative error = 0.077544056739199778265623572794771 % h = 0.001 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.5MB, time=29.93 NO POLE NO POLE x[1] = 0.194 y2[1] (analytic) = 1.1927853905731208795848484034179 y2[1] (numeric) = 1.192458725073382757646150386032 absolute error = 0.0003266654997381219386980173859 relative error = 0.02738677907357354448997681727542 % h = 0.001 y1[1] (analytic) = 1.1927853905731208795848484034179 y1[1] (numeric) = 1.1937260427422842876763493772601 absolute error = 0.0009406521691634080915009738422 relative error = 0.078861811738944470338137530475162 % h = 0.001 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.5MB, time=30.41 NO POLE NO POLE x[1] = 0.195 y2[1] (analytic) = 1.1937665349624219276905826696054 y2[1] (numeric) = 1.1934256780345352371743443725169 absolute error = 0.0003408569278866905162382970885 relative error = 0.028553064431264209248153540614252 % h = 0.001 y1[1] (analytic) = 1.1937665349624219276905826696054 y1[1] (numeric) = 1.1947238043597606244863658092914 absolute error = 0.000957269397338696795783139686 relative error = 0.080188995863318473292003714424235 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.196 y2[1] (analytic) = 1.1947474855852041605850978733388 y2[1] (numeric) = 1.1943919798904365922595966979078 absolute error = 0.000355505694767568325501175431 relative error = 0.0297557181795144456573332358132 % h = 0.001 y1[1] (analytic) = 1.1947474855852041605850978733388 y1[1] (numeric) = 1.195721510445517935885438727121 absolute error = 0.0009740248603137753003408537822 relative error = 0.081525583612062108094898698021008 % h = 0.001 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.5MB, time=30.90 NO POLE NO POLE x[1] = 0.197 y2[1] (analytic) = 1.1957282414605170372320436270931 y2[1] (numeric) = 1.1953576199448279276842165231786 absolute error = 0.0003706215156891095478271039145 relative error = 0.030995463922171438927851919754888 % h = 0.001 y1[1] (analytic) = 1.1957282414605170372320436270931 y1[1] (numeric) = 1.1967191599827245295949652291846 absolute error = 0.0009909185222074923629216020915 relative error = 0.082871549558546786734821102176024 % h = 0.001 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.5MB, time=31.39 NO POLE NO POLE x[1] = 0.198 y2[1] (analytic) = 1.1967088016076047640481968356735 y2[1] (numeric) = 1.1963225873998438687189145386545 absolute error = 0.000386214207760895329282297019 relative error = 0.032273031437729256974344068542802 % h = 0.001 y1[1] (analytic) = 1.1967088016076047640481968356735 y1[1] (numeric) = 1.1977167519544618085193541454293 absolute error = 0.0010079503468570444711573097558 relative error = 0.084226868349510701597746491117426 % h = 0.001 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.5MB, time=31.88 NO POLE NO POLE x[1] = 0.199 y2[1] (analytic) = 1.1976891650459072756591735497928 y2[1] (numeric) = 1.1972868713560257192017814342471 absolute error = 0.0004022936898815564573921155457 relative error = 0.033589156654526184233713976538455 % h = 0.001 y1[1] (analytic) = 1.1976891650459072756591735497928 y1[1] (numeric) = 1.1987142853437252868228492470949 absolute error = 0.0010251202978180111636756973021 relative error = 0.085591514704795582840503089121336 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=301.3MB, alloc=4.5MB, time=32.36 x[1] = 0.2 y2[1] (analytic) = 1.1986693307950612154594126271184 y2[1] (numeric) = 1.1982504608123347242213754024314 absolute error = 0.000418869982726491238037224687 relative error = 0.03494458162608201735033050545091 % h = 0.001 y1[1] (analytic) = 1.1986693307950612154594126271184 y1[1] (numeric) = 1.1997117591334256062371946146517 absolute error = 0.0010424283383643907777819875333 relative error = 0.086965463417084518822902102634061 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.201 y2[1] (analytic) = 1.1996492978749009159754506408903 y2[1] (numeric) = 1.1992133446661654374053294091752 absolute error = 0.0004359532087354785701212317151 relative error = 0.036340054506574607726980766309299 % h = 0.001 y1[1] (analytic) = 1.1996492978749009159754506408903 y1[1] (numeric) = 1.2007091723063895525991471017114 absolute error = 0.0010598744314886366236964608211 relative error = 0.088348689351640834688593972843139 % h = 0.001 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.5MB, time=32.88 NO POLE NO POLE x[1] = 0.202 y2[1] (analytic) = 1.2006290653054593790315076729148 y2[1] (numeric) = 1.2001755117133591928157833822335 absolute error = 0.0004535535921001862157242906813 relative error = 0.037776329526454940030281987086683 % h = 0.001 y1[1] (analytic) = 1.2006290653054593790315076729148 y1[1] (numeric) = 1.2017065238453610726168404592806 absolute error = 0.0010774585399016935853327863658 relative error = 0.089741167446048024209414133873173 % h = 0.001 TOP MAIN SOLVE Loop memory used=308.9MB, alloc=4.5MB, time=33.36 NO POLE NO POLE x[1] = 0.203 y2[1] (analytic) = 1.2016086321069692557164038254306 y2[1] (numeric) = 1.201136950648217681452840864136 absolute error = 0.0004716814587515742635629612946 relative error = 0.039254166968200039804591156707854 % h = 0.001 y1[1] (analytic) = 1.2016086321069692557164038254306 y1[1] (numeric) = 1.2027038127330022908640053122333 absolute error = 0.0010951806260330351476014868027 relative error = 0.09114287270995073003312971949548 % h = 0.001 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.5MB, time=33.85 NO POLE NO POLE x[1] = 0.204 y2[1] (analytic) = 1.2025879972998638261508264850126 y2[1] (numeric) = 1.2020976500635166323671440589367 absolute error = 0.0004903472363471937836824260759 relative error = 0.040774333142203007389132591167062 % h = 0.001 y1[1] (analytic) = 1.2025879972998638261508264850126 y1[1] (numeric) = 1.2037010379518945270010488083407 absolute error = 0.0011130406520307008502223233281 relative error = 0.092553780224796767499503051076296 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.205 y2[1] (analytic) = 1.2035671599047779790539685713266 y2[1] (numeric) = 1.2030575984505195983825555674618 absolute error = 0.0005095614542583806714130038648 relative error = 0.042337600362799479349246772665687 % h = 0.001 y1[1] (analytic) = 1.2035671599047779790539685713266 y1[1] (numeric) = 1.2046981984845393132219973896111 absolute error = 0.0011310385797613341680288182845 relative error = 0.093973865143580187214449548297978 % h = 0.001 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.5MB, time=34.33 NO POLE NO POLE x[1] = 0.206 y2[1] (analytic) = 1.2045461189425491911085582041808 y2[1] (numeric) = 1.2040167841989918464298294554891 absolute error = 0.0005293347435573446787287486917 relative error = 0.043944746924429822624510952024585 % h = 0.001 y1[1] (analytic) = 1.2045461189425491911085582041808 y1[1] (numeric) = 1.2056952933133594119263057660652 absolute error = 0.0011491743708102208177475618844 relative error = 0.09540310269058537159678782313227 % h = 0.001 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.5MB, time=34.82 NO POLE NO POLE x[1] = 0.207 y2[1] (analytic) = 1.2055248734342185061233004239223 y2[1] (numeric) = 1.2049751955972143524920486331291 absolute error = 0.0005496778370041536312517907932 relative error = 0.04559655707793637056415321935333 % h = 0.001 y1[1] (analytic) = 1.2055248734342185061233004239223 y1[1] (numeric) = 1.2066923214206998336145348033991 absolute error = 0.0011674479864813274912343794768 relative error = 0.09684146816113216063665903270191 % h = 0.001 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.5MB, time=35.31 NO POLE NO POLE x[1] = 0.208 y2[1] (analytic) = 1.206503422401031513991751802823 y2[1] (numeric) = 1.2059328208319979011624998417506 absolute error = 0.0005706015690336128292519610724 relative error = 0.047293821006995013963836051979761 % h = 0.001 y1[1] (analytic) = 1.206503422401031513991751802823 y1[1] (numeric) = 1.2076892817888288550069006682703 absolute error = 0.0011858593877973410151488654473 relative error = 0.098288936921322002129131955223487 % h = 0.001 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.5MB, time=35.81 NO POLE NO POLE x[1] = 0.209 y2[1] (analytic) = 1.2074817648644393294466489886571 y2[1] (numeric) = 1.206889647988697289815551847216 absolute error = 0.0005921168757420396310971414411 relative error = 0.049037334804680464137680626400305 % h = 0.001 y1[1] (analytic) = 1.2074817648644393294466489886571 y1[1] (numeric) = 1.2086861733999390373836972081814 absolute error = 0.0012044085354997079370482195243 relative error = 0.099745484407785121670810591010177 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.21 y2[1] (analytic) = 1.2084598998460995706087124262276 y2[1] (numeric) = 1.207845665051225637390996725061 absolute error = 0.0006142347948739332177157011666 relative error = 0.050827900450164508955496209312295 % h = 0.001 y1[1] (analytic) = 1.2084598998460995706087124262276 y1[1] (numeric) = 1.2096829952361482451465931771358 absolute error = 0.0012230953900486745378807509082 relative error = 0.10121108612742870773142324204258 % h = 0.001 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.5MB, time=36.30 NO POLE NO POLE x[1] = 0.211 y2[1] (analytic) = 1.2094378263678773373289467081163 y2[1] (numeric) = 1.2088008599020687977922083946803 absolute error = 0.000636966465808539536738313436 relative error = 0.052666325785546586647725385197981 % h = 0.001 y1[1] (analytic) = 1.2094378263678773373289467081163 y1[1] (numeric) = 1.2106797462795006645998055533927 absolute error = 0.0012419199116233272708588452764 relative error = 0.10268571765718610713639685256493 % h = 0.001 TOP MAIN SOLVE Loop memory used=335.7MB, alloc=4.5MB, time=36.79 NO POLE NO POLE x[1] = 0.212 y2[1] (analytic) = 1.2104155434518461893234592124401 y2[1] (numeric) = 1.2097552203222998778983668156628 absolute error = 0.0006603231295463114250923967773 relative error = 0.054553424492816006029770306580482 % h = 0.001 y1[1] (analytic) = 1.2104155434518461893234592124401 y1[1] (numeric) = 1.2116764255119678229501498317632 absolute error = 0.0012608820601216336266906193231 relative error = 0.10416935464376702632030875321455 % h = 0.001 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.5MB, time=37.28 NO POLE NO POLE x[1] = 0.213 y2[1] (analytic) = 1.2113930501202891240998188928769 y2[1] (numeric) = 1.2107087339915938601908905002728 absolute error = 0.0006843161286952639089283926041 relative error = 0.056490016070945145623281045015177 % h = 0.001 y1[1] (analytic) = 1.2113930501202891240998188928769 y1[1] (numeric) = 1.2126730319154496075249678099626 absolute error = 0.0012799817951604834251489170857 relative error = 0.10566197280340873373486069334033 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=343.3MB, alloc=4.5MB, time=37.77 x[1] = 0.214 y2[1] (analytic) = 1.212370345395699554673977294682 y2[1] (numeric) = 1.2116613884882423299941142217872 absolute error = 0.0007089569074572246798630728948 relative error = 0.058476925813112967954816876065886 % h = 0.001 y1[1] (analytic) = 1.212370345395699554673977294682 y1[1] (numeric) = 1.2136695644717752852069330265645 absolute error = 0.0012992190760757305329557318825 relative error = 0.1071635479216282588186380137539 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.215 y2[1] (analytic) = 1.2133474283007822870767740798571 y2[1] (numeric) = 1.2126131712891683073301430090949 absolute error = 0.0007342570116139797466310707622 relative error = 0.060514984784058189092186274193356 % h = 0.001 y1[1] (analytic) = 1.2133474283007822870767740798571 y1[1] (numeric) = 1.2146660221627045220847336470936 absolute error = 0.0013185938619222350079595672365 relative error = 0.10867405585297558295940084311108 % h = 0.001 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.5MB, time=38.26 NO POLE NO POLE x[1] = 0.216 y2[1] (analytic) = 1.2143242978584544976490495550473 y2[1] (numeric) = 1.2135640697699411833877077137313 absolute error = 0.000760228088513314261341841316 relative error = 0.062605029797561447235881784264998 % h = 0.001 y1[1] (analytic) = 1.2143242978584544976490495550473 y1[1] (numeric) = 1.2156624039699284033186322347482 absolute error = 0.0013381061114739056695826797009 relative error = 0.11019347252078781790300512904883 % h = 0.001 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.5MB, time=38.75 NO POLE NO POLE x[1] = 0.217 y2[1] (analytic) = 1.2153009530918467101243869071349 y2[1] (numeric) = 1.214514071204791761604741616478 absolute error = 0.0007868818870549485196452906569 relative error = 0.064747903394055817917500977892562 % h = 0.001 y1[1] (analytic) = 1.2153009530918467101243869071349 y1[1] (numeric) = 1.2166587088750704532199014831535 absolute error = 0.0013577557832237430955145760186 relative error = 0.11172177391694436708626996573493 % h = 0.001 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.5MB, time=39.24 NO POLE NO POLE x[1] = 0.218 y2[1] (analytic) = 1.2162773930243037724985070638692 y2[1] (numeric) = 1.2154631627666274033642917068978 absolute error = 0.0008142302576763691342153569714 relative error = 0.066944453818365027069032550039364 % h = 0.001 y1[1] (analytic) = 1.2162773930243037724985070638692 y1[1] (numeric) = 1.2176549358596876555431346304226 absolute error = 0.0013775428353838830446275665534 relative error = 0.11325893610162306539419487494803 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.219 y2[1] (analytic) = 1.2172536166793858336843393102186 y2[1] (numeric) = 1.2164113315270472783032724208132 absolute error = 0.0008422851523385553810668894054 relative error = 0.069195534997568716916534376622855 % h = 0.001 y1[1] (analytic) = 1.2172536166793858336843393102186 y1[1] (numeric) = 1.2186510839052714739904289166376 absolute error = 0.001397467225885640306089606419 relative error = 0.11480493520305729286488725343307 % h = 0.001 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.5MB, time=39.72 NO POLE NO POLE x[1] = 0.22 y2[1] (analytic) = 1.218229623080869319951791005457 y2[1] (numeric) = 1.2173585644563577192334637578696 absolute error = 0.0008710586245116007183272475874 relative error = 0.07150200651899412331918411800537 % h = 0.001 y1[1] (analytic) = 1.218229623080869319951791005457 y1[1] (numeric) = 1.2196471519932488729264400906604 absolute error = 0.0014175289123795529746490852034 relative error = 0.11635974741729405788838692528395 % h = 0.001 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.5MB, time=40.21 NO POLE NO POLE x[1] = 0.221 y2[1] (analytic) = 1.2192054112527479111512399612945 y2[1] (numeric) = 1.2183048484235876816740498240627 absolute error = 0.0009005628291602294771901372318 relative error = 0.073864733608333526820087769962339 % h = 0.001 y1[1] (analytic) = 1.2192054112527479111512399612945 y1[1] (numeric) = 1.2206431391049833383033056169462 absolute error = 0.0014377278522354271520656556517 relative error = 0.11792334900795304546827244010823 % h = 0.001 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.5MB, time=40.70 NO POLE NO POLE x[1] = 0.222 y2[1] (analytic) = 1.220180980219233516719773257642 y2[1] (numeric) = 1.2192501701965043079948879525555 absolute error = 0.0009308100227292087248853050865 relative error = 0.076284587107886843298731470878164 % h = 0.001 y1[1] (analytic) = 1.220180980219233516719773257642 y1[1] (numeric) = 1.2216390442217758987944338787546 absolute error = 0.0014580640025423820746606211126 relative error = 0.11949571630598662613750323362939 % h = 0.001 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.5MB, time=41.19 NO POLE NO POLE x[1] = 0.223 y2[1] (analytic) = 1.221156329004757251469196489853 y2[1] (numeric) = 1.2201945164416285961695926503713 absolute error = 0.0009618125631286552996038394817 relative error = 0.078762443454928723716699897677779 % h = 0.001 y1[1] (analytic) = 1.221156329004757251469196489853 y1[1] (numeric) = 1.2226348663248661471361563208426 absolute error = 0.0014785373201088956669598309896 relative error = 0.12107682570944082114239381244591 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.224 y2[1] (analytic) = 1.2221314566339704111548376595133 y2[1] (numeric) = 1.2211378737242511731374126987247 absolute error = 0.0009935829097192380174249607886 relative error = 0.081299184660199536028402748344724 % h = 0.001 y1[1] (analytic) = 1.2221314566339704111548376595133 y1[1] (numeric) = 1.2236306043954332616762391223762 absolute error = 0.0014991477614628505214014628629 relative error = 0.12266665368321721953093152711148 % h = 0.001 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.5MB, time=41.69 NO POLE NO POLE x[1] = 0.225 y2[1] (analytic) = 1.2231063621317454478241701400572 y2[1] (numeric) = 1.2220802285084481727727738009579 absolute error = 0.0010261336232972750513963390993 relative error = 0.083895698286519605887190145259935 % h = 0.001 y1[1] (analytic) = 1.2231063621317454478241701400572 y1[1] (numeric) = 1.2246262574145970281282506394151 absolute error = 0.0015198952828515803040804993579 relative error = 0.12426517675883584280383904040769 % h = 0.001 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.5MB, time=42.18 NO POLE NO POLE x[1] = 0.226 y2[1] (analytic) = 1.2240810445231769449442793686679 y2[1] (numeric) = 1.2230215671570972184612532243779 absolute error = 0.00105947736607972648302614429 relative error = 0.086552877427526096314538343587204 % h = 0.001 y1[1] (analytic) = 1.2240810445231769449442793686679 y1[1] (numeric) = 1.2256218243634188615307805059055 absolute error = 0.0015407798402419165865011372376 relative error = 0.12587237153419895280884705916288 % h = 0.001 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.5MB, time=42.69 NO POLE NO POLE x[1] = 0.227 y2[1] (analytic) = 1.2250555028335825923071981370765 y2[1] (numeric) = 1.2239618759318935102806469208561 absolute error = 0.0010936269016890820265512162204 relative error = 0.089271620686531910016087954706705 % h = 0.001 y1[1] (analytic) = 1.2250555028335825923071981370765 y1[1] (numeric) = 1.2266173042229028284105059326678 absolute error = 0.0015618013893202361033077955913 relative error = 0.12748821467335579858058305113763 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=385.2MB, alloc=4.5MB, time=43.17 x[1] = 0.228 y2[1] (analytic) = 1.2260297360885041607121355760063 y2[1] (numeric) = 1.2249011409933660167856836359563 absolute error = 0.00112859509513814392645194005 relative error = 0.092052832155506001523356086291649 % h = 0.001 y1[1] (analytic) = 1.2260297360885041607121355760063 y1[1] (numeric) = 1.2276126959739966691481003953771 absolute error = 0.0015829598854925084359648193708 relative error = 0.12911268290626829785029828006794 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.229 y2[1] (analytic) = 1.2270037433137084764236251511138 y2[1] (numeric) = 1.2258393484008937713948345277044 absolute error = 0.0011643949128147050287906234094 relative error = 0.094897421394174489814058482447463 % h = 0.001 y1[1] (analytic) = 1.2270037433137084764236251511138 y1[1] (numeric) = 1.2286079985975928205459795550184 absolute error = 0.0016042552838843441223544039046 relative error = 0.13074575302857764897134932567954 % h = 0.001 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.5MB, time=43.66 NO POLE NO POLE x[1] = 0.23 y2[1] (analytic) = 1.2279775235351883954046172123601 y2[1] (numeric) = 1.2267764841127222733775608140129 absolute error = 0.0012010394224661220270563983472 relative error = 0.09780630340924196551730408602231 % h = 0.001 y1[1] (analytic) = 1.2279775235351883954046172123601 y1[1] (numeric) = 1.2296032110745294385968789077458 absolute error = 0.0016256875393410431922616953857 relative error = 0.1323874019013718690279220674122 % h = 0.001 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.5MB, time=44.15 NO POLE NO POLE x[1] = 0.231 y2[1] (analytic) = 1.2289510757791637773235418638014 y2[1] (numeric) = 1.2277125339859799934402359523256 absolute error = 0.0012385417931837838833059114758 relative error = 0.10078039863373239024259765652814 % h = 0.001 y1[1] (analytic) = 1.2289510757791637773235418638014 y1[1] (numeric) = 1.2305983323855914214522573154914 absolute error = 0.00164725660642764412871545169 relative error = 0.13403760645095425391593665374679 % h = 0.001 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.5MB, time=44.65 NO POLE NO POLE x[1] = 0.232 y2[1] (analytic) = 1.2299243990720824593343681468164 y2[1] (numeric) = 1.2286474837766949839088728263622 absolute error = 0.0012769152953874754254953204542 relative error = 0.10382063290644898898374043290262 % h = 0.001 y1[1] (analytic) = 1.2299243990720824593343681468164 y1[1] (numeric) = 1.2315933615115114325895202240549 absolute error = 0.0016689624394289732551520772385 relative error = 0.13569634366861275620640200040591 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.233 y2[1] (analytic) = 1.2308974924406212296286857567934 y2[1] (numeric) = 1.2295813191398115935066803730213 absolute error = 0.0013161733008096361220053837721 relative error = 0.1069279374515525399404876663964 % h = 0.001 y1[1] (analytic) = 1.2308974924406212296286857567934 y1[1] (numeric) = 1.2325882974329709241770560317579 absolute error = 0.0016908049923496945483702749645 relative error = 0.13736359061039027662269860216443 % h = 0.001 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.5MB, time=45.13 NO POLE NO POLE x[1] = 0.234 y2[1] (analytic) = 1.2318703549116868007588357412751 y2[1] (numeric) = 1.2305140256292072867243680276509 absolute error = 0.0013563292824795140344677136242 relative error = 0.11010324885825746947233757038406 % h = 0.001 y1[1] (analytic) = 1.2318703549116868007588357412751 y1[1] (numeric) = 1.2335831391306011606360787290689 absolute error = 0.0017127842189143598772429877938 relative error = 0.13903932439685586498435964226159 % h = 0.001 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.5MB, time=45.61 NO POLE NO POLE x[1] = 0.235 y2[1] (analytic) = 1.2328429855124167827311168565134 y2[1] (numeric) = 1.2314455886977095677810102981238 absolute error = 0.0013973968147072149501065583896 relative error = 0.11334750906064516325022032472806 % h = 0.001 y1[1] (analytic) = 1.2328429855124167827311168565134 y1[1] (numeric) = 1.2345778855849842423982695878982 absolute error = 0.0017349000725674596671527313848 relative error = 0.14072352221287682649089327209774 % h = 0.001 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.5MB, time=46.10 NO POLE NO POLE x[1] = 0.236 y2[1] (analytic) = 1.2338153832701806558680944893074 y2[1] (numeric) = 1.2323759936971130091731776975609 absolute error = 0.0014393895730676466949167917465 relative error = 0.11666166531759390800325879936451 % h = 0.001 y1[1] (analytic) = 1.2338153832701806558680944893074 y1[1] (numeric) = 1.2355725357766541298582103385233 absolute error = 0.0017571525064734739901158492159 relative error = 0.14241616130739172924004424008959 % h = 0.001 TOP MAIN SOLVE Loop memory used=411.9MB, alloc=4.5MB, time=46.60 NO POLE NO POLE x[1] = 0.237 y2[1] (analytic) = 1.2347875472125807434390392818975 y2[1] (numeric) = 1.2333052258781963848099341722457 absolute error = 0.0014823213343843586291051096518 relative error = 0.1200466701928248815693142835943 % h = 0.001 y1[1] (analytic) = 1.2347875472125807434390392818975 y1[1] (numeric) = 1.2365670886860976675195999323393 absolute error = 0.0017795414735169240805606504418 relative error = 0.1441172189931843088956314940251 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.238 y2[1] (analytic) = 1.2357594763674531840575228295574 y2[1] (numeric) = 1.2342332703907399077311950553591 absolute error = 0.0015262059767132763263277741983 relative error = 0.12350348153506361224983948101901 % h = 0.001 y1[1] (analytic) = 1.2357594763674531840575228295574 y1[1] (numeric) = 1.2375615432937556083342466498324 absolute error = 0.001802066926302424276723820275 relative error = 0.14582667264665826644072068414457 % h = 0.001 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.5MB, time=47.08 NO POLE NO POLE x[1] = 0.239 y2[1] (analytic) = 1.2367311697628689038451980533704 y2[1] (numeric) = 1.2351601122835425724068334587521 absolute error = 0.0015710574793263314383645946183 relative error = 0.12703306245831633174176521583546 % h = 0.001 y1[1] (analytic) = 1.2367311697628689038451980533704 y1[1] (numeric) = 1.2385558985800236382328269753501 absolute error = 0.0018247288171547343876289219797 relative error = 0.14754449970761295497239736691979 % h = 0.001 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.5MB, time=47.58 NO POLE NO POLE x[1] = 0.24 y2[1] (analytic) = 1.2377026264271345883607920844898 y2[1] (numeric) = 1.2360857365044396016138168841666 absolute error = 0.0016168899226949867469752003232 relative error = 0.13063638132226064917187366651018 % h = 0.001 y1[1] (analytic) = 1.2377026264271345883607920844898 y1[1] (numeric) = 1.2395501535252534008464023233906 absolute error = 0.0018475270981188124856102389008 relative error = 0.14927067767901995151479886081532 % h = 0.001 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.5MB, time=48.08 NO POLE NO POLE x[1] = 0.241 y2[1] (analytic) = 1.2386738453887936542933397309712 y2[1] (numeric) = 1.2370101279003199978885496922135 absolute error = 0.0016637174884736564047900387577 relative error = 0.13431441171274997699248558883497 % h = 0.001 y1[1] (analytic) = 1.2386738453887936542933397309712 y1[1] (numeric) = 1.2405443071097535224176843652531 absolute error = 0.0018704617209598681243446342819 relative error = 0.15100518412680050984734083777346 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=427.2MB, alloc=4.5MB, time=48.56 x[1] = 0.242 y2[1] (analytic) = 1.2396448256766272209186858340254 y2[1] (numeric) = 1.2379332712171441995514909121337 absolute error = 0.0017115544594830213671949218917 relative error = 0.13806813242243114271143712639538 % h = 0.001 y1[1] (analytic) = 1.2396448256766272209186858340254 y1[1] (numeric) = 1.2415383583137906369010393699845 absolute error = 0.0018935326371634159823535359591 relative error = 0.15274799667960389036523954685623 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.243 y2[1] (analytic) = 1.2406155663196550813182850572694 y2[1] (numeric) = 1.2388551510999618413010107080055 absolute error = 0.0017604152196932400172743492639 relative error = 0.14189852743147462362436777832267 % h = 0.001 y1[1] (analytic) = 1.2406155663196550813182850572694 y1[1] (numeric) = 1.2425323061175904112502216396261 absolute error = 0.0019167397979353299319365823567 relative error = 0.15449909302858656300948275372761 % h = 0.001 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.5MB, time=49.05 NO POLE NO POLE x[1] = 0.244 y2[1] (analytic) = 1.2415860663471366733593278902572 y2[1] (numeric) = 1.2397757520929296193733426377235 absolute error = 0.0018103142542070539859852525337 relative error = 0.14580658588841684489340838632096 % h = 0.001 y1[1] (analytic) = 1.2415860663471366733593278902572 y1[1] (numeric) = 1.2435261495013385708928257858023 absolute error = 0.0019400831542018975334978955451 relative error = 0.156258450927192279323342729853 % h = 0.001 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.5MB, time=49.54 NO POLE NO POLE x[1] = 0.245 y2[1] (analytic) = 1.2425563247885720504352218862454 y2[1] (numeric) = 1.2406950586393292612653826498693 absolute error = 0.0018612661492427891698392363761 relative error = 0.14979330209111398447356924208692 % h = 0.001 y1[1] (analytic) = 1.2425563247885720504352218862454 y1[1] (numeric) = 1.2445198874451819253904472627121 absolute error = 0.0019635626566098749552253764667 relative error = 0.15802604819093300971235362447755 % h = 0.001 TOP MAIN SOLVE Loop memory used=438.6MB, alloc=4.5MB, time=50.03 NO POLE NO POLE x[1] = 0.246 y2[1] (analytic) = 1.2435263406737028519654573937924 y2[1] (numeric) = 1.2416130550815856000169795606287 absolute error = 0.0019132855921172519484778331637 relative error = 0.15385967546780673152660538041892 % h = 0.001 y1[1] (analytic) = 1.2435263406737028519654573937924 y1[1] (numeric) = 1.2455135189292293942835402405712 absolute error = 0.0019871782555265423180828467788 relative error = 0.15980186269717074200439397968448 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.247 y2[1] (analytic) = 1.2444961130325132736538872824077 y2[1] (numeric) = 1.2425297256612847530492555382839 absolute error = 0.0019663873712285206046317441238 relative error = 0.15800671055829544808199974787122 % h = 0.001 y1[1] (analytic) = 1.2444961130325132736538872824077 y1[1] (numeric) = 1.2465070429335530331199615735207 absolute error = 0.002010929901039759466074291113 relative error = 0.16158587238490013742612368053647 % h = 0.001 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.5MB, time=50.52 NO POLE NO POLE x[1] = 0.248 y2[1] (analytic) = 1.2454656408952310375044504040511 y2[1] (numeric) = 1.2434450545191924055553888966372 absolute error = 0.0020205863760386319490615074139 relative error = 0.16223541699522518680607531790475 % h = 0.001 y1[1] (analytic) = 1.2454656408952310375044504040511 y1[1] (numeric) = 1.2475004584381890596661892869592 absolute error = 0.0020348175429580221617388829081 relative error = 0.16337805525453204013152393958223 % h = 0.001 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.5MB, time=51.01 NO POLE NO POLE x[1] = 0.249 y2[1] (analytic) = 1.2464349232923283615933687748402 y2[1] (numeric) = 1.2443590256952721984401852611018 absolute error = 0.0020758975970561631531835137384 relative error = 0.16654680948548002082324362934795 % h = 0.001 y1[1] (analytic) = 1.2464349232923283615933687748402 y1[1] (numeric) = 1.2484937644231388803002036811726 absolute error = 0.0020588411308105187068349063324 relative error = 0.16517838936767783643767966409023 % h = 0.001 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.5MB, time=51.50 NO POLE NO POLE x[1] = 0.25 y2[1] (analytic) = 1.2474039592545229295968487048494 y2[1] (numeric) = 1.2452716231287042208046569222375 absolute error = 0.0021323361258187087921917826119 relative error = 0.17094190779168614459813809645622 % h = 0.001 y1[1] (analytic) = 1.2474039592545229295968487048494 y1[1] (numeric) = 1.2494869598683701165850188210318 absolute error = 0.0020830006138471869881701161824 relative error = 0.16698685284693465994222640836697 % h = 0.001 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.5MB, time=52.00 NO POLE NO POLE x[1] = 0.251 y2[1] (analytic) = 1.2483727478127788600733163483794 y2[1] (numeric) = 1.2461828306579036069717239313168 absolute error = 0.0021899171548752531015924170626 relative error = 0.17542173671382320793398340016121 % h = 0.001 y1[1] (analytic) = 1.2483727478127788600733163483794 y1[1] (numeric) = 1.2504800437538176320218518554001 absolute error = 0.0021072959410387719485355070207 relative error = 0.16880342387567143871605972966926 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.252 y2[1] (analytic) = 1.2493412879983076754992183925442 y2[1] (numeric) = 1.2470926320205392380490442211885 absolute error = 0.0022486559777684374501741713557 relative error = 0.17998732607094334817113413222299 % h = 0.001 y1[1] (analytic) = 1.2493412879983076754992183925442 y1[1] (numeric) = 1.2514730150593845589819172847419 absolute error = 0.0021317270610768834826988921977 relative error = 0.17062808069781578078397379811268 % h = 0.001 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.5MB, time=52.50 NO POLE NO POLE x[1] = 0.253 y2[1] (analytic) = 1.2503095788425692710574188484538 y2[1] (numeric) = 1.2480010108535525480248737533637 absolute error = 0.0023085679890167230325450950901 relative error = 0.18463971068299738868039263118274 % h = 0.001 y1[1] (analytic) = 1.2503095788425692710574188484538 y1[1] (numeric) = 1.2524658727649433258158329712526 absolute error = 0.0021562939223740547584141227988 relative error = 0.17246080161764169412485920850053 % h = 0.001 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.5MB, time=53.00 NO POLE NO POLE x[1] = 0.254 y2[1] (analytic) = 1.2512776193772728831772231566772 y2[1] (numeric) = 1.2489079506931764343927513989941 absolute error = 0.0023696686840964487844717576831 relative error = 0.18937993035276767473860282604778 % h = 0.001 y1[1] (analytic) = 1.2512776193772728831772231566772 y1[1] (numeric) = 1.2534586158503366841396243626364 absolute error = 0.0021809964730638009624012059592 relative error = 0.17430156499955813744194774902161 % h = 0.001 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.5MB, time=53.50 NO POLE NO POLE x[1] = 0.255 y2[1] (analytic) = 1.252245408634378057825061067043 y2[1] (numeric) = 1.249813434974954273300696957346 absolute error = 0.002431973659423784524364109697 relative error = 0.1942090298479070208492282999063 % h = 0.001 y1[1] (analytic) = 1.252245408634378057825061067043 y1[1] (numeric) = 1.2544512432953787362963130784454 absolute error = 0.0022058346610006784712520114024 relative error = 0.17615034926789839797234503968245 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=469.2MB, alloc=4.5MB, time=53.98 x[1] = 0.256 y2[1] (analytic) = 1.2532129456460956185448600021744 y2[1] (numeric) = 1.2507174470337590392205044006027 absolute error = 0.0024954986123365793243556015717 relative error = 0.19912805888308324652827232219729 % h = 0.001 y1[1] (analytic) = 1.2532129456460956185448600021744 y1[1] (numeric) = 1.2554437540798559629920756866576 absolute error = 0.0022308084337603444472156844832 relative error = 0.17800713290671029262374109823586 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.257 y2[1] (analytic) = 1.2541802294448886342471408644664 y2[1] (numeric) = 1.2516199701038125291326061084617 absolute error = 0.0025602593410761051145347560047 relative error = 0.20413807210222878051609811363153 % h = 0.001 y1[1] (analytic) = 1.2541802294448886342471408644664 y1[1] (numeric) = 1.2564361471835282511059581779182 absolute error = 0.0022559177386396168588173134518 relative error = 0.17987189445954718874473465538171 % h = 0.001 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.5MB, time=54.48 NO POLE NO POLE x[1] = 0.258 y2[1] (analytic) = 1.2551472590634733867458684974902 y2[1] (numeric) = 1.2525209873187046912218775201337 absolute error = 0.0026262717447686955239909773565 relative error = 0.2092401290608948162985711629494 % h = 0.001 y1[1] (analytic) = 1.2551472590634733867458684974902 y1[1] (numeric) = 1.2574284215861299216721313255955 absolute error = 0.0022811625226565349262628281053 relative error = 0.18174461252925984085365005229483 % h = 0.001 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.5MB, time=54.97 NO POLE NO POLE x[1] = 0.259 y2[1] (analytic) = 1.256114033534820338042089265054 y2[1] (numeric) = 1.2534204817114130580796452851046 absolute error = 0.0026935518234072799624439799494 relative error = 0.21443529420870950472658329989649 % h = 0.001 y1[1] (analytic) = 1.256114033534820338042089265054 y1[1] (numeric) = 1.2584205762673707580336718015076 absolute error = 0.0023065427325504199915825364536 relative error = 0.1836252657777890396690664356184 % h = 0.001 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.5MB, time=55.46 NO POLE NO POLE x[1] = 0.26 y2[1] (analytic) = 1.2570805518921550973533884643652 y2[1] (numeric) = 1.2543184362143222844070556374985 absolute error = 0.0027621156778328129463328268667 relative error = 0.21972463687193967241154096866157 % h = 0.001 y1[1] (analytic) = 1.2570805518921550973533884643652 y1[1] (numeric) = 1.2594126102069370341668535998683 absolute error = 0.0023320583147819368134651355031 relative error = 0.18551383292595906980351833797101 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.261 y2[1] (analytic) = 1.2580468131689593878882005439147 y2[1] (numeric) = 1.2552148336592437892148533521814 absolute error = 0.0028319795097155986733471917333 relative error = 0.22510923123615555744591750456835 % h = 0.001 y1[1] (analytic) = 1.2580468131689593878882005439147 y1[1] (numeric) = 1.2604045223844925431749340056678 absolute error = 0.0023577092155331552867334617531 relative error = 0.18741029275327197249996521125757 % h = 0.001 TOP MAIN SOLVE Loop memory used=484.4MB, alloc=4.5MB, time=55.94 NO POLE NO POLE x[1] = 0.262 y2[1] (analytic) = 1.2590128163989720133640053518554 y2[1] (numeric) = 1.25610965677743550251451526398 absolute error = 0.0029031596215365108494900878754 relative error = 0.23059015632899805685259020551186 % h = 0.001 y1[1] (analytic) = 1.2590128163989720133640053518554 y1[1] (numeric) = 1.2613963117796796259504180283601 absolute error = 0.0023834953807076125864126765047 relative error = 0.18931462409770260980866567700072 % h = 0.001 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.5MB, time=56.44 NO POLE NO POLE x[1] = 0.263 y2[1] (analytic) = 1.2599785606161898242684438967593 y2[1] (numeric) = 1.2570028881996217164955759446635 absolute error = 0.0029756724165681077728679520958 relative error = 0.23616849600304798300451586899229 % h = 0.001 y1[1] (analytic) = 1.2599785606161898242684438967593 y1[1] (numeric) = 1.2623879773721202000047849073624 absolute error = 0.0024094167559303757363410106031 relative error = 0.19122680585549452662003078019864 % h = 0.001 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.5MB, time=56.93 NO POLE NO POLE x[1] = 0.264 y2[1] (analytic) = 1.2609440448548686838623873597158 y2[1] (numeric) = 1.2578945104560130411838767357552 absolute error = 0.0030495343988556426785106239606 relative error = 0.24184533891879682907745075446998 % h = 0.001 y1[1] (analytic) = 1.2609440448548686838623873597158 y1[1] (numeric) = 1.2633795181414167884646599824933 absolute error = 0.0024354732865481046022726227775 relative error = 0.19314681698095660698686998478837 % h = 0.001 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.5MB, time=57.41 NO POLE NO POLE x[1] = 0.265 y2[1] (analytic) = 1.2619092681495244339239933547858 y2[1] (numeric) = 1.2587845059763264645753629289111 absolute error = 0.0031247621731979693486304258747 relative error = 0.24762177852771854640299941055323 % h = 0.001 y1[1] (analytic) = 1.2619092681495244339239933547858 y1[1] (numeric) = 1.2643709330671535492334149100773 absolute error = 0.0024616649176291153094215552915 relative error = 0.1950746364862605211871846277847 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.266 y2[1] (analytic) = 1.2628742295349338602327836938334 y2[1] (numeric) = 1.2596728570898055172399474696284 absolute error = 0.003201372445128342992836224205 relative error = 0.25349891305544183937738752446468 % h = 0.001 y1[1] (analytic) = 1.2628742295349338602327836938334 y1[1] (numeric) = 1.2653622211288973043171788940334 absolute error = 0.0024879915939634440843952002 relative error = 0.19701024344123895999630665339638 % h = 0.001 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.5MB, time=57.90 NO POLE NO POLE x[1] = 0.267 y2[1] (analytic) = 1.2638389280461356577927781717389 y2[1] (numeric) = 1.2605595460252405413898531345388 absolute error = 0.0032793820208951164029250372001 relative error = 0.25947784548502248635310223012213 % h = 0.001 y1[1] (analytic) = 1.2638389280461356577927781717389 y1[1] (numeric) = 1.2663533813061985693142432908338 absolute error = 0.0025144532600629115214651190949 relative error = 0.19895361697318465265472626701099 % h = 0.001 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.5MB, time=58.39 NO POLE NO POLE x[1] = 0.268 y2[1] (analytic) = 1.2648033627184313957937191489395 y2[1] (numeric) = 1.2614445549109890644067386976025 absolute error = 0.003358807807442331386980451337 relative error = 0.26555968354031519769603375031768 % h = 0.001 y1[1] (analytic) = 1.2648033627184313957937191489395 y1[1] (numeric) = 1.2673444125785925830668416377803 absolute error = 0.0025410498601611872731224888408 relative error = 0.20090473626665016503540127192448 % h = 0.001 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.5MB, time=58.89 NO POLE NO POLE x[1] = 0.269 y2[1] (analytic) = 1.265767532587386482309421970154 y2[1] (numeric) = 1.2623278657749962768218081562549 absolute error = 0.0034396668123902054876138138991 relative error = 0.27174553966944452493008873232188 % h = 0.001 y1[1] (analytic) = 1.265767532587386482309421970154 y1[1] (numeric) = 1.2683353139256003374742868455837 absolute error = 0.0025677813382138551648648754297 relative error = 0.2028635805632484745316938610277 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=511.1MB, alloc=4.5MB, time=59.39 x[1] = 0.27 y2[1] (analytic) = 1.2667314366888311287322865210205 y2[1] (numeric) = 1.2632094605448156147429956350789 absolute error = 0.0035219761440155139892908859416 relative error = 0.27803653102837433761453133713132 % h = 0.001 y1[1] (analytic) = 1.2667314366888311287322865210205 y1[1] (numeric) = 1.2693260843267296074664469887653 absolute error = 0.0025946476378984787341604677448 relative error = 0.20483012916145431820433811328182 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.271 y2[1] (analytic) = 1.267695074058861313943005488217 y2[1] (numeric) = 1.2640893210476294467232121219824 absolute error = 0.0036057530112318672197933662346 relative error = 0.28443377946457538730664552862832 % h = 0.001 y1[1] (analytic) = 1.267695074058861313943005488217 y1[1] (numeric) = 1.2703167227614759811365408209104 absolute error = 0.0026216487026146671935353326934 relative error = 0.2068043614164063107430039649624 % h = 0.001 TOP MAIN SOLVE Loop memory used=514.9MB, alloc=4.5MB, time=59.88 NO POLE NO POLE x[1] = 0.272 y2[1] (analytic) = 1.2686584437338397482145051534362 y2[1] (numeric) = 1.2649674290102698650635337202669 absolute error = 0.0036910147235698831509714331693 relative error = 0.29093841150079048065380284566218 % h = 0.001 y1[1] (analytic) = 1.2686584437338397482145051534362 y1[1] (numeric) = 1.2713072282093238900322338363088 absolute error = 0.0026487844754841418177286828726 relative error = 0.20878625673970982881509156271141 % h = 0.001 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.5MB, time=60.38 NO POLE NO POLE x[1] = 0.273 y2[1] (analytic) = 1.2696215447503968368491548173544 y2[1] (numeric) = 1.2658437660592395815451046194766 absolute error = 0.0037777786911572553040501978778 relative error = 0.2975515583188967863347653000649 % h = 0.001 y1[1] (analytic) = 1.2696215447503968368491548173544 y1[1] (numeric) = 1.2722975996497476396040153950055 absolute error = 0.0026760548993508027548605776511 relative error = 0.2107757945992406583913642266336 % h = 0.001 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.5MB, time=60.87 NO POLE NO POLE x[1] = 0.274 y2[1] (analytic) = 1.2705843761454316435482812164654 y2[1] (numeric) = 1.2667183137207329275834214986312 absolute error = 0.0038660624246987159648597178342 relative error = 0.30427435574386480323015330704011 % h = 0.001 y1[1] (analytic) = 1.2705843761454316435482812164654 y1[1] (numeric) = 1.2732878360622124398098371247628 absolute error = 0.0027034599167807962615559082974 relative error = 0.21277295451894940165490932283341 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.275 y2[1] (analytic) = 1.2715469369561128535130245633453 y2[1] (numeric) = 1.2675910534206569587985595774754 absolute error = 0.0039558835354558947144649858699 relative error = 0.31110794422781351984656341725226 % h = 0.001 y1[1] (analytic) = 1.2715469369561128535130245633453 y1[1] (numeric) = 1.2742779364261754358749925108999 absolute error = 0.0027309994700625823619679475546 relative error = 0.21477771607866664011670472676483 % h = 0.001 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.5MB, time=61.35 NO POLE NO POLE x[1] = 0.276 y2[1] (analytic) = 1.2725092262198797362755731095714 y2[1] (numeric) = 1.2684619664846526639947940248255 absolute error = 0.0040472597352270722807790847459 relative error = 0.31805346883416129764792909820927 % h = 0.001 y1[1] (analytic) = 1.2725092262198797362755731095714 y1[1] (numeric) = 1.2752678997210867392062172834312 absolute error = 0.0027586735012070029306441738598 relative error = 0.21679005891390885057776480948502 % h = 0.001 TOP MAIN SOLVE Loop memory used=530.2MB, alloc=4.5MB, time=61.85 NO POLE NO POLE x[1] = 0.277 y2[1] (analytic) = 1.2734712429744431082598134001431 y2[1] (numeric) = 1.2693310341381162785429639180704 absolute error = 0.0041402088363268297168494820727 relative error = 0.32511207922187201356147824661023 % h = 0.001 y1[1] (analytic) = 1.2734712429744431082598134001431 y1[1] (numeric) = 1.2762577249263904584589899103681 absolute error = 0.002786481951947350199176510225 relative error = 0.21880996271568507059444455170697 % h = 0.001 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.5MB, time=62.35 NO POLE NO POLE x[1] = 0.278 y2[1] (analytic) = 1.2744329862577862950704336588324 y2[1] (numeric) = 1.2701982375062207021588194244964 absolute error = 0.004234748751565592911614234336 relative error = 0.3322849296297959995241511725185 % h = 0.001 y1[1] (analytic) = 1.2744329862577862950704336588324 y1[1] (numeric) = 1.2772474110215257307570112064812 absolute error = 0.0028144247637394356865775476488 relative error = 0.22083740723030431011999403666828 % h = 0.001 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.5MB, time=62.85 NO POLE NO POLE x[1] = 0.279 y2[1] (analytic) = 1.2753944551081660935095180154422 y2[1] (numeric) = 1.2710635576139370210704863434547 absolute error = 0.0043308974942290724390316719875 relative error = 0.33957317886110531951869948696416 % h = 0.001 y1[1] (analytic) = 1.2753944551081660935095180154422 y1[1] (numeric) = 1.2782369569859277530628417682449 absolute error = 0.0028425018777616595533237528027 relative error = 0.22287237225918370601187873802622 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.28 y2[1] (analytic) = 1.2763556485641137333196695584578 y2[1] (numeric) = 1.27192697538605613456807560859 absolute error = 0.0044286731780575987515939498678 relative error = 0.34697799026782292711698598965855 % h = 0.001 y1[1] (analytic) = 1.2763556485641137333196695584578 y1[1] (numeric) = 1.2792263617990288136986756480978 absolute error = 0.00287071323491508037900608964 relative error = 0.2249148376586574161107142469312 % h = 0.001 TOP MAIN SOLVE Loop memory used=541.6MB, alloc=4.5MB, time=63.33 NO POLE NO POLE x[1] = 0.281 y2[1] (analytic) = 1.2773165656644358386527004700495 y2[1] (numeric) = 1.2727884716472104859283588015006 absolute error = 0.0045280940172253527243416685489 relative error = 0.3545005317354452491013439826514 % h = 0.001 y1[1] (analytic) = 1.2773165656644358386527004700495 y1[1] (numeric) = 1.2802156244402593240162283845591 absolute error = 0.0028990587758234853635279145096 relative error = 0.226964783339786249612907912681 % h = 0.001 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.5MB, time=63.82 NO POLE NO POLE x[1] = 0.282 y2[1] (analytic) = 1.2782772054482153892629277748141 y2[1] (numeric) = 1.2736480271218958977073241724124 absolute error = 0.0046291783263194915556036024017 relative error = 0.36214197566765774327332646616412 % h = 0.001 y1[1] (analytic) = 1.2782772054482153892629277748141 y1[1] (numeric) = 1.2812047438890488502147172091363 absolute error = 0.0029275384408334609517894343222 relative error = 0.22902218926816803047525483998272 % h = 0.001 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.5MB, time=64.32 NO POLE NO POLE x[1] = 0.283 y2[1] (analytic) = 1.2792375669548126814241135090431 y2[1] (numeric) = 1.2745056224344935113933210998287 absolute error = 0.0047319445203191700307924092144 relative error = 0.36990349897114298108287579719337 % h = 0.001 y1[1] (analytic) = 1.2792375669548126814241135090431 y1[1] (numeric) = 1.2821937191248271453059109563471 absolute error = 0.002956152170014463881797447304 relative error = 0.23108703546374869060580232468528 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=553.1MB, alloc=4.5MB, time=64.82 x[1] = 0.284 y2[1] (analytic) = 1.2801976492238662885690883936544 y2[1] (numeric) = 1.2753612381092918314133943497716 absolute error = 0.0048364111145744571556940438828 relative error = 0.37778628304048080821996635852936 % h = 0.001 y1[1] (analytic) = 1.2801976492238662885690883936544 y1[1] (numeric) = 1.2831825491270251812252269095591 absolute error = 0.0029848999031588926561385159047 relative error = 0.23315930200063408961127564962537 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.285 y2[1] (analytic) = 1.2811574512952940216510983712452 y2[1] (numeric) = 1.2762148545705088734853029162625 absolute error = 0.0049425967247851481657954549827 relative error = 0.38579151374314013880520971132168 % h = 0.001 y1[1] (analytic) = 1.2811574512952940216510983712452 y1[1] (numeric) = 1.2841712328750761810878515227233 absolute error = 0.0030137815797821594367531514781 relative error = 0.23523896900690255788724972662435 % h = 0.001 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.5MB, time=65.31 NO POLE NO POLE x[1] = 0.286 y2[1] (analytic) = 1.2821169722092938892259136459998 y2[1] (numeric) = 1.2770664521423144173076116382105 absolute error = 0.0050505200669794719183020077893 relative error = 0.39392038140456194129585606819193 % h = 0.001 y1[1] (analytic) = 1.2821169722092938892259136459998 y1[1] (numeric) = 1.2851597693484166515888616664445 absolute error = 0.0030427971391227623629480204447 relative error = 0.23732601666441815985305588338851 % h = 0.001 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.5MB, time=65.80 NO POLE NO POLE x[1] = 0.287 y2[1] (analytic) = 1.2830762110063450572537401444227 y2[1] (numeric) = 1.2779160110488523635801371939923 absolute error = 0.0051601999574926936736029504304 relative error = 0.40217408079333297668916958101046 % h = 0.001 y1[1] (analytic) = 1.2830762110063450572537401444227 y1[1] (numeric) = 1.2861481575264874155463227561889 absolute error = 0.0030719465201423582925826117662 relative error = 0.23942042520864467414913167305195 % h = 0.001 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.5MB, time=66.29 NO POLE NO POLE x[1] = 0.288 y2[1] (analytic) = 1.2840351667272088086199735950659 y2[1] (numeric) = 1.2787635114142631953469234738194 absolute error = 0.0052716553129456132730501212465 relative error = 0.41055381110644985205638911947418 % h = 0.001 y1[1] (analytic) = 1.2840351667272088086199735950659 y1[1] (numeric) = 1.2871363963887346445863398307855 absolute error = 0.0031012296615258359663662357196 relative error = 0.24152217492846028763015444534843 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=568.4MB, alloc=4.5MB, time=66.77 x[1] = 0.289 y2[1] (analytic) = 1.284993838412929502373836706576 y2[1] (numeric) = 1.2796089332627065436538147216124 absolute error = 0.0053849051502229587200219849636 relative error = 0.41906077595467295487750153568556 % h = 0.001 y1[1] (analytic) = 1.284993838412929502373836706576 y1[1] (numeric) = 1.2881244849146108919690373607244 absolute error = 0.0031306465016813895952006541484 relative error = 0.24363124616597300000284707351078 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.29 y2[1] (analytic) = 1.2859522251048355326839402055044 y2[1] (numeric) = 1.2804522565183838575125882226366 absolute error = 0.0054999685864516751713519828678 relative error = 0.42769618334796983606994086608715 % h = 0.001 y1[1] (analytic) = 1.2859522251048355326839402055044 y1[1] (numeric) = 1.2891124220835761255544432780971 absolute error = 0.0031601969787405928705030725927 relative error = 0.24574761931633673597280718885627 % h = 0.001 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.5MB, time=67.26 NO POLE NO POLE x[1] = 0.291 y2[1] (analytic) = 1.286910325844540287509808778398 y2[1] (numeric) = 1.2812934610055611781635016907101 absolute error = 0.0056168648389791093463070876879 relative error = 0.43646124568104761201317390440628 % h = 0.001 y1[1] (analytic) = 1.286910325844540287509808778398 y1[1] (numeric) = 1.290100206875098760907252433365 absolute error = 0.003189881030558473397443654967 relative error = 0.2478712748275681617800900416417 % h = 0.001 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.5MB, time=67.75 NO POLE NO POLE x[1] = 0.292 y2[1] (analytic) = 1.287868139673943106988413246727 y2[1] (numeric) = 1.2821325264485920176280038794799 absolute error = 0.0057356132253510893604093672471 relative error = 0.44535717971897395826602887346052 % h = 0.001 y1[1] (analytic) = 1.287868139673943106988413246727 y1[1] (numeric) = 1.2910878382686566945394443984725 absolute error = 0.0032196985947135875510311517455 relative error = 0.25000219320036420301857018280224 % h = 0.001 TOP MAIN SOLVE Loop memory used=579.8MB, alloc=4.5MB, time=68.25 NO POLE NO POLE x[1] = 0.293 y2[1] (analytic) = 1.2888256656352302415347505881947 y2[1] (numeric) = 1.2829694324719403415432503061802 absolute error = 0.0058562331632898999915002820145 relative error = 0.45438520658288627005465771288813 % h = 0.001 y1[1] (analytic) = 1.2888256656352302415347505881947 y1[1] (numeric) = 1.2920753152437383372897302511543 absolute error = 0.0032496496085080957549796629596 relative error = 0.25214035498792026064931904778723 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.294 y2[1] (analytic) = 1.2897829027708758096555137039305 y2[1] (numeric) = 1.2838041586002036562699593335472 absolute error = 0.0059787441706721533855543703833 relative error = 0.46354655173578856697628137377547 % h = 0.001 y1[1] (analytic) = 1.2897829027708758096555137039305 y1[1] (numeric) = 1.2930626367798436478388026916114 absolute error = 0.0032797340089678381832889876809 relative error = 0.25428574079574912213336471411735 % h = 0.001 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.5MB, time=68.73 NO POLE NO POLE x[1] = 0.295 y2[1] (analytic) = 1.2907398501236427554748931179768 y2[1] (numeric) = 1.2846366842581362002650372062732 absolute error = 0.0061031658655065552098559117036 relative error = 0.47284244496843572171743846498859 % h = 0.001 y1[1] (analytic) = 1.2907398501236427554748931179768 y1[1] (numeric) = 1.2940498018564851663593635600546 absolute error = 0.0033099517328424108844704420778 relative error = 0.25643833128150056462424709264595 % h = 0.001 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.5MB, time=69.22 NO POLE NO POLE x[1] = 0.296 y2[1] (analytic) = 1.291696506736583805971553083346 y2[1] (numeric) = 1.2854669887706722397102939826474 absolute error = 0.0062295179659115662612591006986 relative error = 0.48227412038530459492542703879352 % h = 0.001 y1[1] (analytic) = 1.291696506736583805971553083346 y1[1] (numeric) = 1.2950368094531890482999025419351 absolute error = 0.0033403027166052423283494585891 relative error = 0.25859810715478164717574708755576 % h = 0.001 TOP MAIN SOLVE Loop memory used=591.2MB, alloc=4.5MB, time=69.70 NO POLE NO POLE x[1] = 0.297 y2[1] (analytic) = 1.2926528716530424279258248577527 y2[1] (numeric) = 1.2862950513629494683884656399546 absolute error = 0.0063578202900929595373592177981 relative error = 0.49184281639065166069808306152331 % h = 0.001 y1[1] (analytic) = 1.2926528716530424279258248577527 y1[1] (numeric) = 1.2960236585494960983012005670011 absolute error = 0.0033707868964536703753757092484 relative error = 0.26076504917697768893505230745885 % h = 0.001 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.5MB, time=70.20 NO POLE NO POLE x[1] = 0.298 y2[1] (analytic) = 1.2936089439166537845761602019079 y2[1] (numeric) = 1.2871208511603325117976509639015 absolute error = 0.0064880927563212727785092380064 relative error = 0.50154977567465670947006243368534 % h = 0.001 y1[1] (analytic) = 1.2936089439166537845761602019079 y1[1] (numeric) = 1.2970103481249628042445311286369 absolute error = 0.003401404208309019668370926729 relative error = 0.26293913816107393030642521327134 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.299 y2[1] (analytic) = 1.2945647225713456919838884439998 y2[1] (numeric) = 1.2879443671884365354951651579074 absolute error = 0.0066203553829091564887232860924 relative error = 0.51139624519965221737347097597508 % h = 0.001 y1[1] (analytic) = 1.2945647225713456919838884439998 y1[1] (numeric) = 1.2979968771591623714305324712562 absolute error = 0.0034321545878166794466440272564 relative error = 0.26512035497147787408516262723714 % h = 0.001 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.5MB, time=70.70 NO POLE NO POLE x[1] = 0.3 y2[1] (analytic) = 1.295520206661339575105320745685 y2[1] (numeric) = 1.2887655783731509576617054276546 absolute error = 0.0067546282881886174436153180304 relative error = 0.52138347618643797343710268338605 % h = 0.001 y1[1] (analytic) = 1.295520206661339575105320745685 y1[1] (numeric) = 1.2989832446316857568877233158371 absolute error = 0.0034630379703461817824025701521 relative error = 0.26730868052384230357627877803629 % h = 0.001 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.5MB, time=71.19 NO POLE NO POLE x[1] = 0.301 y2[1] (analytic) = 1.2964753952311514235702454975658 y2[1] (numeric) = 1.2895844635406632658766171099353 absolute error = 0.0068909316904881576936283876305 relative error = 0.53151272410068055826178430399137 % h = 0.001 y1[1] (analytic) = 1.2964753952311514235702454975658 y1[1] (numeric) = 1.2999694495221427038096345170011 absolute error = 0.0034940542909912802393890194353 relative error = 0.26950409578488897472690799344325 % h = 0.001 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.5MB, time=71.70 NO POLE NO POLE x[1] = 0.302 y2[1] (analytic) = 1.2974302873255927471658590657366 y2[1] (numeric) = 1.2904010014174829380949422226751 absolute error = 0.0070292859081098090709168430615 relative error = 0.54178524863939727006946689336425 % h = 0.001 y1[1] (analytic) = 1.2974302873255927471658590657366 y1[1] (numeric) = 1.3009554908101627761195287693526 absolute error = 0.003525203484570028953669703616 relative error = 0.27170658177223297931590824481293 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=610.3MB, alloc=4.5MB, time=72.19 x[1] = 0.303 y2[1] (analytic) = 1.2983848819897715310251764055494 y2[1] (numeric) = 1.2912151706304654678168256151592 absolute error = 0.0071697113593060632083507903902 relative error = 0.55220231371752409627083484448642 % h = 0.001 y1[1] (analytic) = 1.2983848819897715310251764055494 y1[1] (numeric) = 1.3019413674753963931616802061115 absolute error = 0.0035564854856248621365038005621 relative error = 0.27391611955420777625855346408493 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.304 y2[1] (analytic) = 1.2993391782690931905189663542671 y2[1] (numeric) = 1.2920269497068364934397471940446 absolute error = 0.0073122285622566970792191602225 relative error = 0.56276518745456733093040185497925 % h = 0.001 y1[1] (analytic) = 1.2993391782690931905189663542671 y1[1] (numeric) = 1.302927078497515864518185459386 absolute error = 0.0035879002284226739992191051189 relative error = 0.27613269024969088809853135879567 % h = 0.001 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.5MB, time=72.68 NO POLE NO POLE x[1] = 0.305 y2[1] (analytic) = 1.3002931752092615258502567107484 y2[1] (numeric) = 1.2928363170742160317839419918177 absolute error = 0.0074568581350454940663147189307 relative error = 0.57347514216133844072941267791532 % h = 0.001 y1[1] (analytic) = 1.3002931752092615258502567107484 y1[1] (numeric) = 1.3039126228562164249502774787521 absolute error = 0.0036194476469548991000207680037 relative error = 0.27835627502793025977371480535125 % h = 0.001 TOP MAIN SOLVE Loop memory used=617.9MB, alloc=4.5MB, time=73.17 NO POLE NO POLE x[1] = 0.306 y2[1] (analytic) = 1.3012468718562796763504545077395 y2[1] (numeric) = 1.2936432510606428157812631300592 absolute error = 0.0076036207956368605691913776803 relative error = 0.58433345432677178423545007195419 % h = 0.001 y1[1] (analytic) = 1.3012468718562796763504545077395 y1[1] (numeric) = 1.3048979995312172694631131331228 absolute error = 0.0036511276749375931126586253833 relative error = 0.28058685510837127675634926341059 % h = 0.001 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.5MB, time=73.66 NO POLE NO POLE x[1] = 0.307 y2[1] (analytic) = 1.3022002672564510744761271807312 y2[1] (numeric) = 1.294447729894598736317636010311 absolute error = 0.0077525373618523381584911704202 relative error = 0.59534140460482479148353834127664 % h = 0.001 y1[1] (analytic) = 1.3022002672564510744761271807312 y1[1] (numeric) = 1.3058832075022625884930053502127 absolute error = 0.0036829402458115140168781694815 relative error = 0.28282441176048443968239648120091 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.308 y2[1] (analytic) = 1.30315336045638039950549063668 y2[1] (numeric) = 1.2952497317050333882191453406165 absolute error = 0.0079036287513470112863452960635 relative error = 0.60650027780146021305681791739389 % h = 0.001 y1[1] (analytic) = 1.30315336045638039950549063668 y1[1] (numeric) = 1.3068682457491226032160702782272 absolute error = 0.0037148852927422037105796415472 relative error = 0.28506892630359369259879650473601 % h = 0.001 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.5MB, time=74.15 NO POLE NO POLE x[1] = 0.309 y2[1] (analytic) = 1.3041061505029745309336505261852 y2[1] (numeric) = 1.2960492345213887203716898760258 absolute error = 0.0080569159815858105619606501594 relative error = 0.61781136286171005002561873089323 % h = 0.001 y1[1] (analytic) = 1.3041061505029745309336505261852 y1[1] (numeric) = 1.3078531132515946009772596857301 absolute error = 0.0037469627486200700436091595449 relative error = 0.28732038010670540197135611316198 % h = 0.001 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.5MB, time=74.64 NO POLE NO POLE x[1] = 0.31 y2[1] (analytic) = 1.305058636443443501565643323959 y2[1] (numeric) = 1.2968462162736237899640330166339 absolute error = 0.0082124201698197116016103073251 relative error = 0.62927595285682077826206226737427 % h = 0.001 y1[1] (analytic) = 1.305058636443443501565643323959 y1[1] (numeric) = 1.3088378089895039708387485479757 absolute error = 0.0037791725460604692731052240167 relative error = 0.28957875458833798360984272522259 % h = 0.001 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.5MB, time=75.13 NO POLE NO POLE x[1] = 0.311 y2[1] (analytic) = 1.3060108173253014503063241246284 y2[1] (numeric) = 1.2976406547922396208439706671581 absolute error = 0.0083701625330618294623534574703 relative error = 0.64089534497147948279325128828952 % h = 0.001 y1[1] (analytic) = 1.3060108173253014503063241246284 y1[1] (numeric) = 1.309822331942705239246647501323 absolute error = 0.0038115146174037889403233766946 relative error = 0.29184403121635217468065900095478 % h = 0.001 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.5MB, time=75.62 NO POLE NO POLE x[1] = 0.312 y2[1] (analytic) = 1.3069626921963675746461483640617 y2[1] (numeric) = 1.298432527808304165977231017767 absolute error = 0.0085301643880634086689173462947 relative error = 0.6526708404911205199897397901882 % h = 0.001 y1[1] (analytic) = 1.3069626921963675746461483640617 y1[1] (numeric) = 1.3108066810910831058150095816885 absolute error = 0.0038439888947155311688612176268 relative error = 0.29411619150778194799119524021208 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.313 y2[1] (analytic) = 1.3079142601047670828418949805147 y2[1] (numeric) = 1.2992218129534773739986141569567 absolute error = 0.008692447151289708843280823558 relative error = 0.66460374478931232750739092155095 % h = 0.001 y1[1] (analytic) = 1.3079142601047670828418949805147 y1[1] (numeric) = 1.311790855414553479226100398335 absolute error = 0.0038765953097863963842054178203 relative error = 0.29639521702866606574360469355585 % h = 0.001 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.5MB, time=76.10 NO POLE NO POLE x[1] = 0.314 y2[1] (analytic) = 1.3088655200989321457913788349557 y2[1] (numeric) = 1.300008487760036359844772673836 absolute error = 0.0088570323388957859466061611197 relative error = 0.67669536731522400401000380748968 % h = 0.001 y1[1] (analytic) = 1.3088655200989321457913788349557 y1[1] (numeric) = 1.3127748538930645132459006306425 absolute error = 0.0039093337941323674545217956868 relative error = 0.29868108939388026996932148625241 % h = 0.001 TOP MAIN SOLVE Loop memory used=644.6MB, alloc=4.5MB, time=76.61 NO POLE NO POLE x[1] = 0.315 y2[1] (analytic) = 1.309816471227602848601200515934 y2[1] (numeric) = 1.300792529660900679457927649339 absolute error = 0.009023941566702169143272866595 relative error = 0.68894702158117128279729756699153 % h = 0.001 y1[1] (analytic) = 1.309816471227602848601200515934 y1[1] (numeric) = 1.3137586755065976428538094728588 absolute error = 0.0039422042789947942526089569248 relative error = 0.30097379026697010686914244631957 % h = 0.001 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.5MB, time=77.10 NO POLE NO POLE x[1] = 0.316 y2[1] (analytic) = 1.3107671125398281418465819613222 y2[1] (numeric) = 1.3015739159896577085497076737405 absolute error = 0.0091931965501704332968742875817 relative error = 0.7013600251502415255480577575307 % h = 0.001 y1[1] (analytic) = 1.3107671125398281418465819613222 y1[1] (numeric) = 1.3147423192351686204855173901864 absolute error = 0.0039752066953404786389354288642 relative error = 0.30327330135998438229712315154083 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=652.3MB, alloc=4.5MB, time=77.59 x[1] = 0.317 y2[1] (analytic) = 1.3117174430849667925223366371764 y2[1] (numeric) = 1.3023526239805881254141917615074 absolute error = 0.009364819104378667108144875669 relative error = 0.71393569962399736446155205402988 % h = 0.001 y1[1] (analytic) = 1.3117174430849667925223366371764 y1[1] (numeric) = 1.3157257840588285523880162889258 absolute error = 0.0040083409738617598656796517494 relative error = 0.30557960443330924563989539584452 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.318 y2[1] (analytic) = 1.3126674619126883346840233228225 y2[1] (numeric) = 1.3031286307686914977791302640966 absolute error = 0.0095388311439968369048930587259 relative error = 0.72667537063025862314178266830202 % h = 0.001 y1[1] (analytic) = 1.3126674619126883346840233228225 y1[1] (numeric) = 1.3167090689576649350857149437682 absolute error = 0.0040416070449766004016916209457 relative error = 0.307892681295502899356298446962 % h = 0.001 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.5MB, time=78.09 NO POLE NO POLE x[1] = 0.319 y2[1] (analytic) = 1.3136171680729740197783328610944 y2[1] (numeric) = 1.3039019133897119736842111069002 absolute error = 0.0097152546832620460941217541942 relative error = 0.73958036781096214861883685086769 % h = 0.001 y1[1] (analytic) = 1.3136171680729740197783328610944 y1[1] (numeric) = 1.3176921729118026919566272667068 absolute error = 0.0040750048388286721782944056124 relative error = 0.31021251380313093145543034572521 % h = 0.001 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.5MB, time=78.58 NO POLE NO POLE x[1] = 0.32 y2[1] (analytic) = 1.3145665606161177666617575434172 y2[1] (numeric) = 1.3046724487801640763751318982629 absolute error = 0.0098941118359536902866256451543 relative error = 0.75265202481009918893959730263929 % h = 0.001 y1[1] (analytic) = 1.3145665606161177666617575434172 y1[1] (numeric) = 1.3186750949014052099176007444236 absolute error = 0.0041085342852874432558432010064 relative error = 0.31253908386060226820436850255946 % h = 0.001 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.5MB, time=79.07 NO POLE NO POLE x[1] = 0.321 y2[1] (analytic) = 1.3155156385927271113065931111435 y2[1] (numeric) = 1.3054402137773586032021316764523 absolute error = 0.0100754248153685081044614346912 relative error = 0.76589167926172995278645448424456 % h = 0.001 y1[1] (analytic) = 1.3155156385927271113065931111435 y1[1] (numeric) = 1.3196578339066753762175521143998 absolute error = 0.0041421953139482649109590032563 relative error = 0.31487237342000574436988139443635 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.322 y2[1] (analytic) = 1.3164644010537241561933236672222 y2[1] (numeric) = 1.3062051851194286285115292747617 absolute error = 0.0102592159342955276817943924605 relative error = 0.77930067277807498959749518361566 % h = 0.001 y1[1] (analytic) = 1.3164644010537241561933236672222 y1[1] (numeric) = 1.3206403889078566153376770944014 absolute error = 0.0041759878541324591443534271792 relative error = 0.31721236448094728831145566934726 % h = 0.001 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.5MB, time=79.55 NO POLE NO POLE x[1] = 0.323 y2[1] (analytic) = 1.3174128470503465193884401058919 y2[1] (numeric) = 1.306967339445355610518708495675 absolute error = 0.0104455076049909088697316102169 relative error = 0.79288035093768303066499834101952 % h = 0.001 y1[1] (analytic) = 1.3174128470503465193884401058919 y1[1] (numeric) = 1.3216227588852339259976007254004 absolute error = 0.0042099118348874066091606195085 relative error = 0.31955903909038771925589583676053 % h = 0.001 TOP MAIN SOLVE Loop memory used=671.4MB, alloc=4.5MB, time=80.05 NO POLE NO POLE x[1] = 0.324 y2[1] (analytic) = 1.3183609756341482833067429826609 y2[1] (numeric) = 1.3077266532949956021508834923296 absolute error = 0.0106343223391526811558594903313 relative error = 0.80663206327367493368102161082063 % h = 0.001 y1[1] (analytic) = 1.3183609756341482833067429826609 y1[1] (numeric) = 1.322604942819134918266434634413 absolute error = 0.0042439671849866349596916517521 relative error = 0.32191237934248115409661736914261 % h = 0.001 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.5MB, time=80.55 NO POLE NO POLE x[1] = 0.325 y2[1] (analytic) = 1.3193087858570009431571810623496 y2[1] (numeric) = 1.3084831031091055658478709594849 absolute error = 0.0108256827478953773093101028647 relative error = 0.82055716326206337517948155797001 % h = 0.001 y1[1] (analytic) = 1.3193087858570009431571810623496 y1[1] (numeric) = 1.3235869396899308507777072711624 absolute error = 0.0042781538329299076205262088128 relative error = 0.32427236737841402107354886762191 % h = 0.001 TOP MAIN SOLVE Loop memory used=679.0MB, alloc=4.5MB, time=81.05 NO POLE NO POLE x[1] = 0.326 y2[1] (analytic) = 1.3202562767710943550712770994355 y2[1] (numeric) = 1.3092366652293697923089889369499 absolute error = 0.0110196115417245627622881624856 relative error = 0.83465700831014793729348737011589 % h = 0.001 y1[1] (analytic) = 1.3202562767710943550712770994355 y1[1] (numeric) = 1.3245687484780376680471329209153 absolute error = 0.0043124717069433129758558214798 relative error = 0.32663898538624467770228535759984 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.327 y2[1] (analytic) = 1.3212034474289376839131927223542 y2[1] (numeric) = 1.3099873158984264231740952260451 absolute error = 0.0112161315305112607390974963091 relative error = 0.84893295974498523720485266928645 % h = 0.001 y1[1] (analytic) = 1.3212034474289376839131927223542 y1[1] (numeric) = 1.3255503681639170378921850452872 absolute error = 0.004346920734979353978992322933 relative error = 0.32901221560074363033379317740713 % h = 0.001 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.5MB, time=81.55 NO POLE NO POLE x[1] = 0.328 y2[1] (analytic) = 1.3221502968833603507704846117713 y2[1] (numeric) = 1.3107350312598940776266716142896 absolute error = 0.0114152656234662731438129974817 relative error = 0.86338638280193374960975211888932 % h = 0.001 y1[1] (analytic) = 1.3221502968833603507704846117713 y1[1] (numeric) = 1.3265317977280773889524392532728 absolute error = 0.0043815008447170381819546415015 relative error = 0.33139204030323435273855770377992 % h = 0.001 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.5MB, time=82.05 NO POLE NO POLE x[1] = 0.329 y2[1] (analytic) = 1.3230968241875129801246044821466 y2[1] (numeric) = 1.3114797873583985829067532952085 absolute error = 0.0116170368291143972178511869381 relative error = 0.87801864661327297446047826960784 % h = 0.001 y1[1] (analytic) = 1.3230968241875129801246044821466 y1[1] (numeric) = 1.3275130361510749483096509562274 absolute error = 0.0044162119635619681850464740808 relative error = 0.33377844182143470112158871715531 % h = 0.001 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.5MB, time=82.56 NO POLE NO POLE x[1] = 0.33 y2[1] (analytic) = 1.3240430283948683467001956961702 y2[1] (numeric) = 1.3122215601395998087213960590687 absolute error = 0.0118214682552685379787996371015 relative error = 0.89283112419689660416825823817532 % h = 0.001 y1[1] (analytic) = 1.3240430283948683467001956961702 y1[1] (numeric) = 1.328494082413514779206532513007 absolute error = 0.0044510540186464325063368168368 relative error = 0.33617140252929892298715494025015 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=694.2MB, alloc=4.5MB, time=83.06 x[1] = 0.331 y2[1] (analytic) = 1.3249889085592223219922396628531 y2[1] (numeric) = 1.3129603254502186055402670165704 absolute error = 0.0120285831090037164519726462827 relative error = 0.9078251924450793463661776769264 % h = 0.001 y1[1] (analytic) = 1.3249889085592223219922396628531 y1[1] (numeric) = 1.3294749354960518188631944249683 absolute error = 0.0044860269368294968709547621152 relative error = 0.33857090484686025728450957598626 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.332 y2[1] (analytic) = 1.3259344637346948204701054922043 y2[1] (numeric) = 1.313696059038063846763837801161 absolute error = 0.0122384046966309737062676910433 relative error = 0.92300223211331706023449892675788 % h = 0.001 y1[1] (analytic) = 1.3259344637346948204701054922043 y1[1] (numeric) = 1.3304555943793919163902148950363 absolute error = 0.004521130644697095920109402832 relative error = 0.34097693124007412327819291346117 % h = 0.001 TOP MAIN SOLVE Loop memory used=698.1MB, alloc=4.5MB, time=83.54 NO POLE NO POLE x[1] = 0.333 y2[1] (analytic) = 1.3268796929757307454575567025243 y2[1] (numeric) = 1.3144287365520595747515523768033 absolute error = 0.012450956423671170706004325721 relative error = 0.93836362780923986628311865984813 % h = 0.001 y1[1] (analytic) = 1.3268796929757307454575567025243 y1[1] (numeric) = 1.3314360580442928707973018205644 absolute error = 0.0045563650685621253397451180401 relative error = 0.34338946422066189559875664846178 % h = 0.001 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.5MB, time=84.04 NO POLE NO POLE x[1] = 0.334 y2[1] (analytic) = 1.3278245953371009346877691003853 y2[1] (numeric) = 1.315158333542272250697234756827 absolute error = 0.0126662617948286839905343435583 relative error = 0.9539107679815978913676546721105 % h = 0.001 y1[1] (analytic) = 1.3278245953371009346877691003853 y1[1] (numeric) = 1.3324163254715654690965110462435 absolute error = 0.0045917301344645344087419458582 relative error = 0.34580848634595526294194786172062 % h = 0.001 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.5MB, time=84.53 NO POLE NO POLE x[1] = 0.335 y2[1] (analytic) = 1.3287691698739031055324142783622 y2[1] (numeric) = 1.3158848254599381083388951160339 absolute error = 0.0128843444139649971935191623283 relative error = 0.96964504490931931258674829719134 % h = 0.001 y1[1] (analytic) = 1.3287691698739031055324142783622 y1[1] (numeric) = 1.3333963956420745244989844608625 absolute error = 0.0046272257681714189665701825003 relative error = 0.3482339802187411678965189934615 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.336 y2[1] (analytic) = 1.3297134156415627999038635015058 y2[1] (numeric) = 1.3166081876574906114899859526122 absolute error = 0.0131052279840721884138775488936 relative error = 0.98556785469064036556868426059395 % h = 0.001 y1[1] (analytic) = 1.3297134156415627999038635015058 y1[1] (numeric) = 1.334376267536739914704171280279 absolute error = 0.0046628518951771148003077787732 relative error = 0.35066592848710732539289402615103 % h = 0.001 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.5MB, time=85.01 NO POLE NO POLE x[1] = 0.337 y2[1] (analytic) = 1.3306573316958343288295670804365 y2[1] (numeric) = 1.3173283953885880153790531287637 absolute error = 0.0133289363072463134505139516728 relative error = 1.0016805972323069845054293157094 % h = 0.001 y1[1] (analytic) = 1.3306573316958343288295670804365 y1[1] (numeric) = 1.3353559401365376202804956185336 absolute error = 0.0046986084407032914509285380971 relative error = 0.35310431384428831727692081312707 % h = 0.001 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.5MB, time=85.50 NO POLE NO POLE x[1] = 0.338 y2[1] (analytic) = 1.331600917092801716697664656756 y2[1] (numeric) = 1.3180454238081410317846197893537 absolute error = 0.0135554932846606849130448674023 relative error = 1.0179846762388477431317399085822 % h = 0.001 y1[1] (analytic) = 1.331600917092801716697664656756 y1[1] (numeric) = 1.3363354124225007631364332096262 absolute error = 0.0047344953296990464387685528702 relative error = 0.3555491190285122605248754437658 % h = 0.001 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.5MB, time=86.00 NO POLE NO POLE x[1] = 0.339 y2[1] (analytic) = 1.332544170888879645172882155245 y2[1] (numeric) = 1.3187592479723405979520343264766 absolute error = 0.0137849229165390472208478287684 relative error = 1.0344814992019177676761521811661 % h = 0.001 y1[1] (analytic) = 1.332544170888879645172882155245 y1[1] (numeric) = 1.3373146833757206450809599040769 absolute error = 0.0047705124868409999080777488319 relative error = 0.35800032682284804662775708630734 % h = 0.001 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.5MB, time=86.49 NO POLE NO POLE x[1] = 0.34 y2[1] (analytic) = 1.3334870921408143967817714870308 y2[1] (numeric) = 1.3194698428386857492789067246901 absolute error = 0.0140172493021286475028647623407 relative error = 1.0511724773897132946295091914536 % h = 0.001 y1[1] (analytic) = 1.3334870921408143967817714870308 y1[1] (numeric) = 1.3382937519773477864723343270095 absolute error = 0.0048066598365333896905628399787 relative error = 0.36045792005505314968472126588517 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.341 y2[1] (analytic) = 1.334429679905684798166349418561 y2[1] (numeric) = 1.3201771832660115957556507869203 absolute error = 0.0142524966396732024106986316407 relative error = 1.0680590258364565479852642249539 % h = 0.001 y1[1] (analytic) = 1.334429679905684798166349418561 y1[1] (numeric) = 1.3392726172085929649541768481302 absolute error = 0.0048429373029081667878274295692 relative error = 0.36292188159742200075724638529763 % h = 0.001 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.5MB, time=86.98 NO POLE NO POLE x[1] = 0.342 y2[1] (analytic) = 1.3353719332409031630051923528251 y2[1] (numeric) = 1.3208812440145174021475429047835 absolute error = 0.0144906892263857608576494480416 relative error = 1.0851425633319506124041889980458 % h = 0.001 y1[1] (analytic) = 1.3353719332409031630051923528251 y1[1] (numeric) = 1.3402512780507282542778067786213 absolute error = 0.0048793448098250912726144257962 relative error = 0.36539219436663492604731284184946 % h = 0.001 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.5MB, time=87.47 NO POLE NO POLE x[1] = 0.343 y2[1] (analytic) = 1.336313851204216234601044101807 y2[1] (numeric) = 1.3215819997457947719046011994187 absolute error = 0.0147318514584214626964429023883 relative error = 1.1024245124112039805443744903945 % h = 0.001 y1[1] (analytic) = 1.336313851204216234601044101807 y1[1] (numeric) = 1.3412297334850880632097994756372 absolute error = 0.0049158822808718286087553738302 relative error = 0.36786884132360764647449669879029 % h = 0.001 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.5MB, time=87.97 NO POLE NO POLE x[1] = 0.344 y2[1] (analytic) = 1.3372554328537061281339940626387 y2[1] (numeric) = 1.3222794250228559347854820199825 absolute error = 0.0149760078308501933485120426562 relative error = 1.1199062993441244545756027582398 % h = 0.001 y1[1] (analytic) = 1.3372554328537061281339940626387 y1[1] (numeric) = 1.3422079824930701745237248017709 absolute error = 0.0049525496393640463897307391322 relative error = 0.37035180547334133623844089258228 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=736.2MB, alloc=4.5MB, time=88.48 x[1] = 0.345 y2[1] (analytic) = 1.338196677247791272579283544357 y2[1] (numeric) = 1.3229734943101621381814839468364 absolute error = 0.0152231829376291343977995975206 relative error = 1.1375893541252820836653526259722 % h = 0.001 y1[1] (analytic) = 1.338196677247791272579283544357 y1[1] (numeric) = 1.3431860240561367840750281545595 absolute error = 0.0049893468083455114957446102025 relative error = 0.37284106986477323796466675517687 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.346 y2[1] (analytic) = 1.3391375834452273522887983275334 y2[1] (numeric) = 1.3236641819736521421266426052609 absolute error = 0.0154734014715752101621557222725 relative error = 1.1554751104637408209819424731219 % h = 0.001 y1[1] (analytic) = 1.3391375834452273522887983275334 y1[1] (numeric) = 1.3441638571558155399580150498133 absolute error = 0.0050262737105881876692167222799 relative error = 0.37533661759062783204312755882808 % h = 0.001 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.5MB, time=88.96 NO POLE NO POLE x[1] = 0.347 y2[1] (analytic) = 1.3400781505051082482353058753646 y2[1] (numeric) = 1.3243514622807708179797927533693 absolute error = 0.0157266882243374302555131219953 relative error = 1.1735650057729585855086708649391 % h = 0.001 y1[1] (analytic) = 1.3400781505051082482353058753646 y1[1] (numeric) = 1.3451414807737005817439000122899 absolute error = 0.0050633302685923335085941369253 relative error = 0.37783843178726855778028420183257 % h = 0.001 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.5MB, time=89.46 NO POLE NO POLE x[1] = 0.348 y2[1] (analytic) = 1.3410183774868669789184959520651 y2[1] (numeric) = 1.3250353094004978507643672648771 absolute error = 0.015983068086369128154128687188 relative error = 1.1918604811607554157013515482852 % h = 0.001 y1[1] (analytic) = 1.3410183774868669789184959520651 y1[1] (numeric) = 1.3461188938914535797988802979864 absolute error = 0.0051005164045866008803843459213 relative error = 0.38034649563455008399680139783972 % h = 0.001 TOP MAIN SOLVE Loop memory used=747.6MB, alloc=4.5MB, time=89.95 NO POLE NO POLE x[1] = 0.349 y2[1] (analytic) = 1.3419582634502766409318837425973 y2[1] (numeric) = 1.3257156974033765451515957836148 absolute error = 0.0162425660469000957802879589825 relative error = 1.2103629814193494037504139819265 % h = 0.001 y1[1] (analytic) = 1.3419582634502766409318837425973 y1[1] (numeric) = 1.3470960954908047746811947440958 absolute error = 0.0051378320405281337493110014985 relative error = 0.38286079235567112671422115748315 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.35 y2[1] (analytic) = 1.3428978074554513491896349069176 y2[1] (numeric) = 1.3263926002615427350726589822627 absolute error = 0.0165052071939086141169759246549 relative error = 1.2290739550154601009278143244541 % h = 0.001 y1[1] (analytic) = 1.3428978074554513491896349069176 y1[1] (numeric) = 1.3480730845535540166161278154648 absolute error = 0.0051752770981026674264929085472 relative error = 0.38538130521702781158516930411549 % h = 0.001 TOP MAIN SOLVE Loop memory used=751.5MB, alloc=4.5MB, time=90.44 NO POLE NO POLE x[1] = 0.351 y2[1] (analytic) = 1.3438370085628471768123723419896 y2[1] (numeric) = 1.3270659918487537969452475128449 absolute error = 0.0167710167140933798671248291447 relative error = 1.2479948540804790862084344991265 % h = 0.001 y1[1] (analytic) = 1.3438370085628471768123723419896 y1[1] (numeric) = 1.349049860061571805047918690201 absolute error = 0.0052128514987246282355463482114 relative error = 0.3879080175280675787327905908045 % h = 0.001 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.5MB, time=90.93 NO POLE NO POLE x[1] = 0.352 y2[1] (analytic) = 1.3447758658332630946710247658361 y2[1] (numeric) = 1.3277358459404177664998678911509 absolute error = 0.0170400198928453281711568746852 relative error = 1.2671271344007073920554980383897 % h = 0.001 y1[1] (analytic) = 1.3447758658332630946710247658361 y1[1] (numeric) = 1.3500264209968003282675350019078 absolute error = 0.0052505551635372335965102360717 relative error = 0.39044091264114362767618902373467 % h = 0.001 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.5MB, time=91.45 NO POLE NO POLE x[1] = 0.353 y2[1] (analytic) = 1.345714378327841910587777579861 y2[1] (numeric) = 1.3284021362136225591911307115679 absolute error = 0.0173122421142193513966468682931 relative error = 1.2864722554076594829498599345041 % h = 0.001 y1[1] (analytic) = 1.345714378327841910587777579861 y1[1] (numeric) = 1.3510027663412545031152706318762 absolute error = 0.0052883880134125925274930520152 relative error = 0.39297997395136990002967258803769 % h = 0.001 TOP MAIN SOLVE Loop memory used=762.9MB, alloc=4.5MB, time=91.94 NO POLE NO POLE x[1] = 0.354 y2[1] (analytic) = 1.3466525451080712081931868085672 y2[1] (numeric) = 1.3290648362471652941791497429121 absolute error = 0.0175877088609059140140370656551 relative error = 1.306031680168433483923892352838 % h = 0.001 y1[1] (analytic) = 1.3466525451080712081931868085672 y1[1] (numeric) = 1.3519788950770230147571267214341 absolute error = 0.0053263499689518065639399128669 relative error = 0.39552518489647659767456605345626 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.355 y2[1] (analytic) = 1.3475903652357842854385172596347 y2[1] (numeric) = 1.3297239195215817218660736098517 absolute error = 0.017866445714202563572443649783 relative error = 1.3258068753761473580321470832399 % h = 0.001 y1[1] (analytic) = 1.3475903652357842854385172596347 y1[1] (numeric) = 1.3529548061862693565339348525453 absolute error = 0.0053644409504850710954175929106 relative error = 0.39807652895666623411326224379987 % h = 0.001 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.5MB, time=92.43 NO POLE NO POLE x[1] = 0.356 y2[1] (analytic) = 1.3485278377731610927623663921003 y2[1] (numeric) = 1.3303793594191757549726649185222 absolute error = 0.0181484783539853377897014735781 relative error = 1.3457993113404407333530869123407 % h = 0.001 y1[1] (analytic) = 1.3485278377731610927623663921003 y1[1] (numeric) = 1.3539304986512328698821811236659 absolute error = 0.0054026608780717771198147315656 relative error = 0.40063398965447021672603141960131 % h = 0.001 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.5MB, time=92.92 NO POLE NO POLE x[1] = 0.357 y2[1] (analytic) = 1.3494649617827291709106357260919 y2[1] (numeric) = 1.3310311292240491031397348390618 absolute error = 0.0184338325586800677709008870301 relative error = 1.3660104619780420817689992154078 % h = 0.001 y1[1] (analytic) = 1.3494649617827291709106357260919 y1[1] (numeric) = 1.3549059714542297843254896277984 absolute error = 0.0054410096715006134148539017065 relative error = 0.40319755055460595766190057862827 % h = 0.001 TOP MAIN SOLVE Loop memory used=774.4MB, alloc=4.5MB, time=93.42 NO POLE NO POLE x[1] = 0.358 y2[1] (analytic) = 1.3504017363273645884089119742243 y2[1] (numeric) = 1.3316792021221310110391343121407 absolute error = 0.0187225342052335773697776620836 relative error = 1.3864418048034009534147931358238 % h = 0.001 y1[1] (analytic) = 1.3504017363273645884089119742243 y1[1] (numeric) = 1.3558812235776542575357236206432 absolute error = 0.0054794872502896691268116464189 relative error = 0.40576719526383451110564985305301 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=778.2MB, alloc=4.5MB, time=93.91 x[1] = 0.359 y2[1] (analytic) = 1.3513381604702928786863204223547 y2[1] (numeric) = 1.3323235512012080999788962012357 absolute error = 0.019014609269084778707424221119 relative error = 1.4070948209193849723207935129211 % h = 0.001 y1[1] (analytic) = 1.3513381604702928786863204223547 y1[1] (numeric) = 1.3568562540039794154626624487269 absolute error = 0.0055180935336865367763420263722 relative error = 0.40834290743081873467365210192876 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.36 y2[1] (analytic) = 1.3522742332750899768499134359207 y2[1] (numeric) = 1.3329641494509543129870158675208 absolute error = 0.0193100838241356638628975683999 relative error = 1.4279709950080413003999366333364 % h = 0.001 y1[1] (analytic) = 1.3522742332750899768499134359207 y1[1] (numeric) = 1.3578310617157583925312120903875 absolute error = 0.0055568284406684156812986544668 relative error = 0.41092467074598197270190458838292 % h = 0.001 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.5MB, time=94.42 NO POLE NO POLE x[1] = 0.361 y2[1] (analytic) = 1.353209953805683156108657317552 y2[1] (numeric) = 1.3336009697629609633582507999047 absolute error = 0.0196089840427221927504065176473 relative error = 1.4490718153214222785460009490111 % h = 0.001 y1[1] (analytic) = 1.353209953805683156108657317552 y1[1] (numeric) = 1.3588056456956253719051069465252 absolute error = 0.0055956918899422157964496289732 relative error = 0.41351246894136725920016861516763 % h = 0.001 TOP MAIN SOLVE Loop memory used=785.8MB, alloc=4.5MB, time=94.90 NO POLE NO POLE x[1] = 0.362 y2[1] (analytic) = 1.3541453211263519638460810920458 y2[1] (numeric) = 1.3342339849307668866482130890695 absolute error = 0.0199113361955850771978680029763 relative error = 1.4703987736724749552167257887667 % h = 0.001 y1[1] (analytic) = 1.3541453211263519638460810920458 y1[1] (numeric) = 1.3597800049262966258160603030741 absolute error = 0.0056346837999446619699792110283 relative error = 0.41610628579049703825664449097324 % h = 0.001 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.5MB, time=95.40 NO POLE NO POLE x[1] = 0.363 y2[1] (analytic) = 1.3550803343017291573406511461367 y2[1] (numeric) = 1.3348631676498886960989216914431 absolute error = 0.0202171666518404612417294546936 relative error = 1.491953365425994214473938092902 % h = 0.001 y1[1] (analytic) = 1.3550803343017291573406511461367 y1[1] (numeric) = 1.3607541383905715559573206732248 absolute error = 0.0056738040888423986166695270881 relative error = 0.418706105108233399688065531887 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.364 y2[1] (analytic) = 1.3560149923968016391329360027619 y2[1] (numeric) = 1.3354884905178511414798745869937 absolute error = 0.0205265018789504976530614157682 relative error = 1.5137370894896392170421762594125 % h = 0.001 y1[1] (analytic) = 1.3560149923968016391329360027619 y1[1] (numeric) = 1.3617280450713337339405910145248 absolute error = 0.0057130526745320948076550117629 relative error = 0.42131191075063882774049628487763 % h = 0.001 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.5MB, time=95.88 NO POLE NO POLE x[1] = 0.365 y2[1] (analytic) = 1.3569492944769113920386258627375 y2[1] (numeric) = 1.336109926034217571328594093668 absolute error = 0.0208393684426938207100317690695 relative error = 1.5357514483050128695278258895092 % h = 0.001 y1[1] (analytic) = 1.3569492944769113920386258627375 y1[1] (numeric) = 1.362701723951551941815267604106 absolute error = 0.0057524294746405497766417413685 relative error = 0.42392368661483746065646710709311 % h = 0.001 TOP MAIN SOLVE Loop memory used=797.2MB, alloc=4.5MB, time=96.37 NO POLE NO POLE x[1] = 0.366 y2[1] (analytic) = 1.357883239607756413806471900903 y2[1] (numeric) = 1.3367274466006204985744917613141 absolute error = 0.0211557930071359152319801395889 relative error = 1.5579979478388040385125187833894 % h = 0.001 y1[1] (analytic) = 1.357883239607756413806471900903 y1[1] (numeric) = 1.3636751740142812126489551444341 absolute error = 0.0057919344065247988424832435311 relative error = 0.42654141663887685893436996012934 % h = 0.001 TOP MAIN SOLVE Loop memory used=801.1MB, alloc=4.5MB, time=96.86 NO POLE NO POLE x[1] = 0.367 y2[1] (analytic) = 1.3588168268553916514202106588722 y2[1] (numeric) = 1.3373410245207922695297924291482 absolute error = 0.021475802334599381890418229724 relative error = 1.580478097573992227797547837613 % h = 0.001 y1[1] (analytic) = 1.3588168268553916514202106588722 y1[1] (numeric) = 1.3646483942426638711682144621492 absolute error = 0.005831567387272219748003803277 relative error = 0.42916508480159028011627909258489 % h = 0.001 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.5MB, time=97.36 NO POLE NO POLE x[1] = 0.368 y2[1] (analytic) = 1.3597500552862299350435392325448 y2[1] (numeric) = 1.3379506320005958362311501933452 absolute error = 0.0217994232856340988123890391996 relative error = 1.6031934105011144386303700543326 % h = 0.001 y1[1] (analytic) = 1.3597500552862299350435392325448 y1[1] (numeric) = 1.3656213836199305744584989537633 absolute error = 0.0058713283337006394149597212185 relative error = 0.43179467512245945795054549594331 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.369 y2[1] (analytic) = 1.3606829239670429116072073094816 y2[1] (numeric) = 1.3385562411480556321154821952657 absolute error = 0.0221266828189872794917251142159 relative error = 1.6261454031095939342899608627617 % h = 0.001 y1[1] (analytic) = 1.3606829239670429116072073094816 y1[1] (numeric) = 1.3665941411294013527222357242041 absolute error = 0.0059112171623584411150284147225 relative error = 0.43443017166147788378564593572077 % h = 0.001 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.5MB, time=97.84 NO POLE NO POLE x[1] = 0.37 y2[1] (analytic) = 1.3616154319649619780372924691272 y2[1] (numeric) = 1.3391578239733885510134393062866 absolute error = 0.0224576079915734270238531628406 relative error = 1.6493355953791306319448982014122 % h = 0.001 y1[1] (analytic) = 1.3616154319649619780372924691272 y1[1] (numeric) = 1.3675666657544866500940071574462 absolute error = 0.005951233789524672056714688319 relative error = 0.43707155851901458806184628704501 % h = 0.001 TOP MAIN SOLVE Loop memory used=812.5MB, alloc=4.5MB, time=98.33 NO POLE NO POLE x[1] = 0.371 y2[1] (analytic) = 1.3625475783474792141237255176854 y2[1] (numeric) = 1.3397553523890350294438259522858 absolute error = 0.0227922259584441846798995653996 relative error = 1.6727655107711528462266467999203 % h = 0.001 y1[1] (analytic) = 1.3625475783474792141237255176854 y1[1] (numeric) = 1.3685389564786883655117884527474 absolute error = 0.005991378131209151388062935062 relative error = 0.43971881983567841977726514377823 % h = 0.001 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.5MB, time=98.82 NO POLE NO POLE x[1] = 0.372 y2[1] (analytic) = 1.3634793621824483150281329891974 y2[1] (numeric) = 1.3403487982096902321921744896501 absolute error = 0.0231305639727580828359584995473 relative error = 1.6964366762203301104806339728396 % h = 0.001 y1[1] (analytic) = 1.3634793621824483150281329891974 y1[1] (numeric) = 1.3695110122856008936431964553108 absolute error = 0.0060316501031525786150634661134 relative error = 0.44237193979218282181489752561764 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=820.1MB, alloc=4.5MB, time=99.32 x[1] = 0.373 y2[1] (analytic) = 1.364410782538085523430064305059 y2[1] (numeric) = 1.3409381331523353411565727153422 absolute error = 0.0234726493857501822734915897168 relative error = 1.72035062212614680316940979902 % h = 0.001 y1[1] (analytic) = 1.364410782538085523430064305059 y1[1] (numeric) = 1.3704828321589121658657049065274 absolute error = 0.0060720496208266424356406014684 relative error = 0.44503090260921110002708027676969 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.374 y2[1] (analytic) = 1.3653418384829705613106714458277 y2[1] (numeric) = 1.3415233288362689474437362661813 absolute error = 0.0238185096467016138669351796464 relative error = 1.7445088823445363084055182755978 % h = 0.001 y1[1] (analytic) = 1.3653418384829705613106714458277 y1[1] (numeric) = 1.3714544150824046912997810363105 absolute error = 0.0061125765994341299891095904828 relative error = 0.4476956925472821839837507306808 % h = 0.001 TOP MAIN SOLVE Loop memory used=823.9MB, alloc=4.5MB, time=99.80 NO POLE NO POLE x[1] = 0.375 y2[1] (analytic) = 1.3662725290860475613729093517163 y2[1] (numeric) = 1.342104356783138546698210837173 absolute error = 0.0241681723029090146746985145433 relative error = 1.7689129941795754410867230381875 % h = 0.001 y1[1] (analytic) = 1.3662725290860475613729093517163 y1[1] (numeric) = 1.372425760039956597893898218424 absolute error = 0.0061532309539090365209888667077 relative error = 0.45036629390661687730066870430449 % h = 0.001 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.5MB, time=100.32 NO POLE NO POLE x[1] = 0.376 y2[1] (analytic) = 1.3672028534166259980973256316518 y2[1] (numeric) = 1.3426811884169721376474823255757 absolute error = 0.0245216649996538604498433060761 relative error = 1.7935644983752388685929823303122 % h = 0.001 y1[1] (analytic) = 1.3672028534166259980973256316518 y1[1] (numeric) = 1.3733968660155426735603792091201 absolute error = 0.0061940125989166754630535774683 relative error = 0.45304269102700459547353917511231 % h = 0.001 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.5MB, time=100.81 NO POLE NO POLE x[1] = 0.377 y2[1] (analytic) = 1.368132810544381618432508525187 y2[1] (numeric) = 1.3432537950642099238456661865212 absolute error = 0.0248790154801716945868423386658 relative error = 1.8184649391072132624831035565625 % h = 0.001 y1[1] (analytic) = 1.368132810544381618432508525187 y1[1] (numeric) = 1.3743677319932354073610242898479 absolute error = 0.0062349214488537889285157646609 relative error = 0.45572486828767058915368937803733 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.378 y2[1] (analytic) = 1.3690623995393573721192624268931 y2[1] (numeric) = 1.3438221479537361185983404675241 absolute error = 0.025240251585621253520921959369 relative error = 1.8436158639747709150993781106932 % h = 0.001 y1[1] (analytic) = 1.3690623995393573721192624268931 y1[1] (numeric) = 1.3753383569572060307414784362693 absolute error = 0.0062759574178486586222160093762 relative error = 0.4584128101071436508106198272998 % h = 0.001 memory used=835.4MB, alloc=4.5MB, time=101.31 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.379 y2[1] (analytic) = 1.3699916194719643416475806491373 y2[1] (numeric) = 1.3443862182169108530509801732276 absolute error = 0.0256054012550534885966004759097 relative error = 1.8690188239927025574507520518946 % h = 0.001 y1[1] (analytic) = 1.3699916194719643416475806491373 y1[1] (numeric) = 1.376308739891725558813291438321 absolute error = 0.0063171204197612171657107891837 relative error = 0.46110650094312430273636420774759 % h = 0.001 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.5MB, time=101.80 NO POLE NO POLE x[1] = 0.38 y2[1] (analytic) = 1.3709204694129826718454854663492 y2[1] (numeric) = 1.3449459768876021874233437983499 absolute error = 0.0259744925253804844221416679993 relative error = 1.8946753735833091161992771064891 % h = 0.001 y1[1] (analytic) = 1.3709204694129826718454854663492 y1[1] (numeric) = 1.3772788797811658316826246995959 absolute error = 0.0063584103681831598371392332467 relative error = 0.46380592529235346435615847971029 % h = 0.001 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.5MB, time=102.29 NO POLE NO POLE x[1] = 0.381 y2[1] (analytic) = 1.3718489484335624990988058520127 y2[1] (numeric) = 1.3455013949022182253720560561233 absolute error = 0.0263475535313442737267497958894 relative error = 1.920587070568452149020758576094 % h = 0.001 y1[1] (analytic) = 1.3718489484335624990988058520127 y1[1] (numeric) = 1.3782487756100005558245582488807 absolute error = 0.006399827176438056725752396868 relative error = 0.46651106769048159681943518438514 % h = 0.001 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.5MB, time=102.78 NO POLE NO POLE x[1] = 0.382 y2[1] (analytic) = 1.3727770556052248802009636886848 y2[1] (numeric) = 1.3460524430997393314635240216684 absolute error = 0.0267246125054855487374396670164 relative error = 1.9467554761616626990487208955798 % h = 0.001 y1[1] (analytic) = 1.3727770556052248802009636886848 y1[1] (numeric) = 1.3792184263628063455019513022809 absolute error = 0.0064413707575814653009876135961 relative error = 0.46922191271193832285462510677131 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.383 y2[1] (analytic) = 1.3737047899998627208318396013306 y2[1] (numeric) = 1.3465990922217504517392171048228 absolute error = 0.0271056977781122690926224965078 relative error = 1.9731821549603083105410963477604 % h = 0.001 y1[1] (analytic) = 1.3737047899998627208318396013306 y1[1] (numeric) = 1.3801878310242637642278095209898 absolute error = 0.0064830410244010433959699196592 relative error = 0.47193844496980251988066543212218 % h = 0.001 TOP MAIN SOLVE Loop memory used=850.6MB, alloc=4.5MB, time=103.27 NO POLE NO POLE x[1] = 0.384 y2[1] (analytic) = 1.3746321506897417036647899351876 y2[1] (numeric) = 1.3471413129124735373552344650601 absolute error = 0.0274908377772681663095554701275 relative error = 1.9998686749378179493314560367867 % h = 0.001 y1[1] (analytic) = 1.3746321506897417036647899351876 y1[1] (numeric) = 1.3811569885791583662701119174148 absolute error = 0.0065248378894166626053219822272 relative error = 0.47466064911567288437748159847479 % h = 0.001 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.5MB, time=103.75 NO POLE NO POLE x[1] = 0.385 y2[1] (analytic) = 1.3755591367475012161008867712188 y2[1] (numeric) = 1.3476790757188000712779766823966 absolute error = 0.0278800610287011448229100888222 relative error = 2.0268166074359645730411925659021 % h = 0.001 y1[1] (analytic) = 1.3755591367475012161008867712188 y1[1] (numeric) = 1.3821258980123817381980501710625 absolute error = 0.0065667612648805220971633998437 relative error = 0.47738850983953896552702948089358 % h = 0.001 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.5MB, time=104.24 NO POLE NO POLE x[1] = 0.386 y2[1] (analytic) = 1.3764857472461552776294532449923 y2[1] (numeric) = 1.3482123510903236980176317026974 absolute error = 0.0282733961558315796118215422949 relative error = 2.0540275271572050974358785670101 % h = 0.001 y1[1] (analytic) = 1.3764857472461552776294532449923 y1[1] (numeric) = 1.383094558308932540468632925304 absolute error = 0.0066088110627772628391796803117 relative error = 0.48012201186965266614575561811285 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=862.1MB, alloc=4.5MB, time=104.74 x[1] = 0.387 y2[1] (analytic) = 1.3774119812590934668139668085286 y2[1] (numeric) = 1.3487411093793729563810782836737 absolute error = 0.0286708718797205104328885248549 relative error = 2.0815030121570775067081115901069 % h = 0.001 y1[1] (analytic) = 1.3774119812590934668139668085286 y1[1] (numeric) = 1.3840629684539175490526074468944 absolute error = 0.0066509871948240822386406383658 relative error = 0.48286113997240020893855618425986 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.388 y2[1] (analytic) = 1.3783378378600818479024034492912 y2[1] (numeric) = 1.3492653208410441152257033792123 absolute error = 0.0290725170190377326767000700789 relative error = 2.1092446438366548568605608773567 % h = 0.001 y1[1] (analytic) = 1.3783378378600818479024034492912 y1[1] (numeric) = 1.3850311274325526970986508419055 absolute error = 0.0066932895724708491962473926143 relative error = 0.48560587895217456611349058959205 % h = 0.001 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.5MB, time=105.23 NO POLE NO POLE x[1] = 0.389 y2[1] (analytic) = 1.3792633161232638970610962560513 y2[1] (numeric) = 1.3497849556332341121955231146069 absolute error = 0.0294783604900297848655731414444 relative error = 2.1372540069350559227467019121641 % h = 0.001 y1[1] (analytic) = 1.3792633161232638970610962560513 y1[1] (numeric) = 1.3859990342301641166347828345491 absolute error = 0.0067357181069002195736865784978 relative error = 0.48835621365124835040563323654778 % h = 0.001 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.5MB, time=105.72 NO POLE NO POLE x[1] = 0.39 y2[1] (analytic) = 1.3801884151231614282311820978472 y2[1] (numeric) = 1.3502999838166735954208902238794 absolute error = 0.0298884313064878328102918739678 relative error = 2.1655326895220122407029067416576 % h = 0.001 y1[1] (analytic) = 1.3801884151231614282311820978472 y1[1] (numeric) = 1.3869666878321891803059519292189 absolute error = 0.0067782727090277520747698313717 relative error = 0.49111212894964716556752732916815 % h = 0.001 TOP MAIN SOLVE Loop memory used=873.5MB, alloc=4.5MB, time=106.22 NO POLE NO POLE x[1] = 0.391 y2[1] (analytic) = 1.381113133934675518606710559668 y2[1] (numeric) = 1.3508103753549600681629640427932 absolute error = 0.0303027585797154504437465168748 relative error = 2.1940822829904913000741980147674 % h = 0.001 y1[1] (analytic) = 1.381113133934675518606710559668 y1[1] (numeric) = 1.3879340872241775431467465909646 absolute error = 0.0068209532895020245400360312966 relative error = 0.49387360976502341439273800413897 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=877.4MB, alloc=4.5MB, time=106.70 x[1] = 0.392 y2[1] (analytic) = 1.3820374716330874337334896568294 y2[1] (numeric) = 1.3513161001145911363840123774803 absolute error = 0.0307213715184962973494772793491 relative error = 2.2229043820493756382971182555251 % h = 0.001 y1[1] (analytic) = 1.3820374716330874337334896568294 y1[1] (numeric) = 1.3889012313917921843881828955297 absolute error = 0.0068637597587047506546932387003 relative error = 0.49664064105253056234798868545722 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.393 y2[1] (analytic) = 1.3829614272940595522277432292739 y2[1] (numeric) = 1.351817127864997859224507798937 absolute error = 0.0311442994290616930032354303369 relative error = 2.2520005847161975955568586050716 % h = 0.001 y1[1] (analytic) = 1.3829614272940595522277432292739 y1[1] (numeric) = 1.3898681193208104492975199170397 absolute error = 0.0069066920267508970697766877658 relative error = 0.49941320780469785489830472703832 % h = 0.001 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.5MB, time=107.20 NO POLE NO POLE x[1] = 0.394 y2[1] (analytic) = 1.3838849999936362901136552972144 y2[1] (numeric) = 1.352313428278578202367874148099 absolute error = 0.0315715717150580877457811491154 relative error = 2.281372492309929486382078326047 % h = 0.001 y1[1] (analytic) = 1.3838849999936362901136552972144 y1[1] (numeric) = 1.3908347499971250910500539394122 absolute error = 0.0069497500034888009363986421978 relative error = 0.50219129505130548661848236097704 % h = 0.001 TOP MAIN SOLVE Loop memory used=885.0MB, alloc=4.5MB, time=107.69 NO POLE NO POLE x[1] = 0.395 y2[1] (analytic) = 1.384808188808245024778877040654 y2[1] (numeric) = 1.3528049709307305942736322748929 absolute error = 0.0320032178775144305052447657611 relative error = 2.3110217094438289468797726897528 % h = 0.001 y1[1] (analytic) = 1.384808188808245024778877040654 y1[1] (numeric) = 1.3918011224067453126318423965863 absolute error = 0.0069929335985002878529653559323 relative error = 0.50497488785926022019304897529781 % h = 0.001 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.5MB, time=108.18 NO POLE NO POLE x[1] = 0.396 y2[1] (analytic) = 1.3857309928146970185470724473521 y2[1] (numeric) = 1.3532917252998875852595872776875 absolute error = 0.0324392675148094332874851696646 relative error = 2.340949844018339217644157090655 % h = 0.001 y1[1] (analytic) = 1.3857309928146970185470724473521 y1[1] (numeric) = 1.3927672355357978087723082667247 absolute error = 0.0070362427211007902252358193726 relative error = 0.50776397133247145341568306290579 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.397 y2[1] (analytic) = 1.3866534110901883418665790567684 y2[1] (numeric) = 1.3537736607675496094135927570412 absolute error = 0.0328797503226387324529862997272 relative error = 2.3711585072140441236978736993659 % h = 0.001 y1[1] (analytic) = 1.3866534110901883418665790567684 y1[1] (numeric) = 1.3937330883705278079056754666354 absolute error = 0.007079677280339466039096409867 relative error = 0.51055853061172773230781907152204 % h = 0.001 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.5MB, time=108.66 NO POLE NO POLE x[1] = 0.398 y2[1] (analytic) = 1.3875754427123007961142606114002 y2[1] (numeric) = 1.3542507466183188493153208496739 absolute error = 0.0333246960939819467989397617263 relative error = 2.4016493134846775141409377340194 % h = 0.001 y1[1] (analytic) = 1.3875754427123007961142606114002 y1[1] (numeric) = 1.3946986798973001141601856147921 absolute error = 0.0071232371849993180459250033919 relative error = 0.51335855087457370848487409925283 % h = 0.001 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.5MB, time=109.15 NO POLE NO POLE x[1] = 0.399 y2[1] (analytic) = 1.3884970867590028360136288117384 y2[1] (numeric) = 1.3547229520399332035483600652858 absolute error = 0.0337741347190696324652687464526 relative error = 2.4324238805501869254927672792717 % h = 0.001 y1[1] (analytic) = 1.3884970867590028360136288117384 y1[1] (numeric) = 1.3956640091026001493740463544944 absolute error = 0.007166922343597313360417542756 relative error = 0.51616401733518753890720017597443 % h = 0.001 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.5MB, time=109.65 NO POLE NO POLE x[1] = 0.4 y2[1] (analytic) = 1.3894183423086504916663117567957 y2[1] (numeric) = 1.3551902461233003569828562103164 absolute error = 0.0342280961853501346834555464793 relative error = 2.4634838293898512340154270080419 % h = 0.001 y1[1] (analytic) = 1.3894183423086504916663117567957 y1[1] (numeric) = 1.396629074973034995137061252915 absolute error = 0.0072107326643845034707494961193 relative error = 0.51897491524425872616148800176119 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=904.1MB, alloc=4.5MB, time=110.14 x[1] = 0.401 y2[1] (analytic) = 1.3903392084399882901959470388174 y2[1] (numeric) = 1.3556525978625319538088049490886 absolute error = 0.0346866105774563363871420897288 relative error = 2.4948307842354520636019053830189 % h = 0.001 y1[1] (analytic) = 1.3903392084399882901959470388174 y1[1] (numeric) = 1.3975938764953344348568911170178 absolute error = 0.0072546680553461446609440782004 relative error = 0.52179122988886639742692573006979 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.402 y2[1] (analytic) = 1.3912596842321501770035778483565 y2[1] (numeric) = 1.3561099761549778732999978241247 absolute error = 0.0351497080771723037035800242318 relative error = 2.5264663725644987171018798734411 % h = 0.001 y1[1] (analytic) = 1.3912596842321501770035778483565 y1[1] (numeric) = 1.3985584126563519958488963936093 absolute error = 0.0072987284242018188453185452528 relative error = 0.52461294659235802028894993729566 % h = 0.001 TOP MAIN SOLVE Loop memory used=907.9MB, alloc=4.5MB, time=110.63 NO POLE NO POLE x[1] = 0.403 y2[1] (analytic) = 1.3921797687646604366336308343958 y2[1] (numeric) = 1.3565623498012606082885168338658 absolute error = 0.03561741896339982834511400053 relative error = 2.5583922250935064002390480852949 % h = 0.001 y1[1] (analytic) = 1.3921797687646604366336308343958 y1[1] (numeric) = 1.3995226824430659914485101480984 absolute error = 0.0073429136784055548148793137026 relative error = 0.52744005071422855357191555857622 % h = 0.001 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.5MB, time=111.14 NO POLE NO POLE x[1] = 0.404 y2[1] (analytic) = 1.3930994611174346132495548536135 y2[1] (numeric) = 1.3570096875053097463295659476752 absolute error = 0.0360897736121248669199889059383 relative error = 2.5906099757713275085487568630206 % h = 0.001 y1[1] (analytic) = 1.3930994611174346132495548536135 y1[1] (numeric) = 1.4004866848425805631450909448933 absolute error = 0.0073872237251459498955360912798 relative error = 0.53027252765000003137045754110235 % h = 0.001 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.5MB, time=111.64 NO POLE NO POLE x[1] = 0.405 y2[1] (analytic) = 1.3940187603707804307182001332327 y2[1] (numeric) = 1.3574519578743965535363212249755 absolute error = 0.0365668024963838771818789082572 relative error = 2.6231212617725357490323885015815 % h = 0.001 y1[1] (analytic) = 1.3940187603707804307182001332327 y1[1] (numeric) = 1.4014504188421267227362047817531 absolute error = 0.0074316584713462920180046485204 relative error = 0.5331103628311015784677195146133 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=919.3MB, alloc=4.5MB, time=112.13 x[1] = 0.406 y2[1] (analytic) = 1.3949376656053987123020177631507 y2[1] (numeric) = 1.357889129419168661064374497763 absolute error = 0.0370485361862300512376432653877 relative error = 2.6559277234908628694858050618886 % h = 0.001 y1[1] (analytic) = 1.3949376656053987123020177631507 y1[1] (numeric) = 1.4024138834290633945012850608411 absolute error = 0.0074762178236646821992672976904 relative error = 0.53595354172474985533698414994938 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.407 y2[1] (analytic) = 1.3958561759023842999581598252254 y2[1] (numeric) = 1.3583211705536848542252388736696 absolute error = 0.0375350053486994457329209515558 relative error = 2.6890310045326877697131499974149 % h = 0.001 y1[1] (analytic) = 1.3958561759023842999581598252254 y1[1] (numeric) = 1.403377077590878457393619410695 absolute error = 0.0075209016884941574354595854696 relative error = 0.5388020498338299309315563119182 % h = 0.001 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.5MB, time=112.62 NO POLE NO POLE x[1] = 0.408 y2[1] (analytic) = 1.3967742903432269732435608606962 y2[1] (numeric) = 1.3587480495954499642082776203153 absolute error = 0.0380262407477770090352832403809 relative error = 2.7224327517105777700845021952607 % h = 0.001 y1[1] (analytic) = 1.3967742903432269732435608606962 y1[1] (numeric) = 1.4043400003151897872496120058347 absolute error = 0.0075657099719628140060511451385 relative error = 0.54165587269677658147602385377348 % h = 0.001 TOP MAIN SOLVE Loop memory used=926.9MB, alloc=4.5MB, time=113.12 NO POLE NO POLE x[1] = 0.409 y2[1] (analytic) = 1.3976920080098123678250817707338 y2[1] (numeric) = 1.3591697347654498623903113010163 absolute error = 0.0385222732443625054347704697175 relative error = 2.756134615036881814136312168352 % h = 0.001 y1[1] (analytic) = 1.3976920080098123678250817707338 y1[1] (numeric) = 1.4053026505897462990142698642765 absolute error = 0.0076106425799339311891880935427 relative error = 0.54451499588745601348025218741284 % h = 0.001 TOP MAIN SOLVE Loop memory used=930.8MB, alloc=4.5MB, time=113.61 NO POLE NO POLE x[1] = 0.41 y2[1] (analytic) = 1.3986093279844228935937976400511 y2[1] (numeric) = 1.3595861941881865572120513470965 absolute error = 0.0390231337962363363817462929546 relative error = 2.790138247717375383147264302138 % h = 0.001 y1[1] (analytic) = 1.3986093279844228935937976400511 y1[1] (numeric) = 1.4062650274024289889818614378068 absolute error = 0.0076556994180060953880637977557 relative error = 0.54737940501504800920565783335675 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.411 y2[1] (analytic) = 1.3995262493497386523825113693651 y2[1] (numeric) = 1.3599973958917133936004015732041 absolute error = 0.039528853458025258782109796161 relative error = 2.8244453061449569018492432941133 % h = 0.001 y1[1] (analytic) = 1.3995262493497386523825113693651 y1[1] (numeric) = 1.4072271297412519770506956454953 absolute error = 0.0077008803915133246681842761302 relative error = 0.55024908572392849282145324487164 % h = 0.001 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.5MB, time=114.09 NO POLE NO POLE x[1] = 0.412 y2[1] (analytic) = 1.4004427711888383552855753992714 y2[1] (numeric) = 1.360403307807670354915562469264 absolute error = 0.0400394633811680003700129300074 relative error = 2.8590574498933954156534775045729 % h = 0.001 y1[1] (analytic) = 1.4004427711888383552855753992714 y1[1] (numeric) = 1.4081889565943635489909693375956 absolute error = 0.0077461854055251937053939383242 relative error = 0.55312402369355251549666054677689 % h = 0.001 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.5MB, time=114.58 NO POLE NO POLE x[1] = 0.413 y2[1] (analytic) = 1.4013588925852002395801042057874 y2[1] (numeric) = 1.3608038977713194674017664361139 absolute error = 0.0405549948138807721783377696735 relative error = 2.8939763417111293209857268829271 % h = 0.001 y1[1] (analytic) = 1.4013588925852002395801042057874 y1[1] (numeric) = 1.4091505069500471987246310146859 absolute error = 0.0077916143648469591445268088985 relative error = 0.55600420463833765768175566439104 % h = 0.001 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.5MB, time=115.08 NO POLE NO POLE x[1] = 0.414 y2[1] (analytic) = 1.4022746126227029852476606464264 y2[1] (numeric) = 1.3611991335215803071203654715855 absolute error = 0.0410754791011226781272951748409 relative error = 2.9292036475151159315316182106319 % h = 0.001 y1[1] (analytic) = 1.4022746126227029852476606464264 y1[1] (numeric) = 1.4101117797967226706162084656534 absolute error = 0.007837167174019685368547819227 relative error = 0.55888961430754784684182687554844 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=946.0MB, alloc=4.5MB, time=115.57 x[1] = 0.415 y2[1] (analytic) = 1.4031899303856266310954996351939 y2[1] (numeric) = 1.3615889827010656093438861599069 absolute error = 0.041600947684561021751613475287 relative error = 2.9647410363847316643939451230965 % h = 0.001 y1[1] (analytic) = 1.4031899303856266310954996351939 y1[1] (numeric) = 1.4110727741229470017735478279143 absolute error = 0.0078828437373203706780481927204 relative error = 0.56178023848517758891111332815582 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.416 y2[1] (analytic) = 1.4041048449586534904764530253388 y2[1] (numeric) = 1.3619734128561169803895601699336 absolute error = 0.0421314321025365100868928554052 relative error = 3.0005901805557226313579839990702 % h = 0.001 y1[1] (analytic) = 1.4041048449586534904764530253388 y1[1] (numeric) = 1.4120334889174155643574114140929 absolute error = 0.0079286439587620738809583887541 relative error = 0.56467606298983661174672975808159 % h = 0.001 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.5MB, time=116.05 NO POLE NO POLE x[1] = 0.417 y2[1] (analytic) = 1.4050193554268690666065399800501 y2[1] (numeric) = 1.362352391436840711870731826965 absolute error = 0.0426669639900283547358081530851 relative error = 3.0367527554142054216486683497344 % h = 0.001 y1[1] (analytic) = 1.4050193554268690666065399800501 y1[1] (numeric) = 1.4129939231689631078988814912578 absolute error = 0.0079745677420940412923415112077 relative error = 0.56757707367463491886728374508309 % h = 0.001 TOP MAIN SOLVE Loop memory used=953.6MB, alloc=4.5MB, time=116.54 NO POLE NO POLE x[1] = 0.418 y2[1] (analytic) = 1.4059334608757629674793875135654 y2[1] (numeric) = 1.3627258857971436973444376888853 absolute error = 0.0432075750786192701349498246801 relative error = 3.0732304394907178637448525648546 % h = 0.001 y1[1] (analytic) = 1.4059334608757629674793875135654 y1[1] (numeric) = 1.4139540758665648016235170417274 absolute error = 0.008020614990801834144129528162 relative error = 0.57048325642706825176995158440086 % h = 0.001 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.5MB, time=117.04 NO POLE NO POLE x[1] = 0.419 y2[1] (analytic) = 1.4068471603912298203765462883469 y2[1] (numeric) = 1.36309386319476945133334643019 absolute error = 0.0437532971964603690431998581569 relative error = 3.1100249144543195549909192977041 % h = 0.001 y1[1] (analytic) = 1.4068471603912298203765462883469 y1[1] (numeric) = 1.4149139459993372767812103784162 absolute error = 0.0080667856081074564046640900693 relative error = 0.57339459716890395912739845462757 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=961.3MB, alloc=4.5MB, time=117.53 x[1] = 0.42 y2[1] (analytic) = 1.4077604530595701859727871580863 y2[1] (numeric) = 1.3634562907913342307001407172251 absolute error = 0.0443041622682359552726464408612 relative error = 3.1471378651067419489146816681978 % h = 0.001 y1[1] (analytic) = 1.4077604530595701859727871580863 y1[1] (numeric) = 1.4158735325565396689806903326942 absolute error = 0.0081130794969694830079031746079 relative error = 0.57631108185606727117370825203976 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.421 y2[1] (analytic) = 1.4086733379674914720354643513158 y2[1] (numeric) = 1.3638131356523632583523161447944 absolute error = 0.0448602023151282136831482065214 relative error = 3.1845709793765877913229398644982 % h = 0.001 y1[1] (analytic) = 1.4086733379674914720354643513158 y1[1] (numeric) = 1.4168328345275746605276185787766 absolute error = 0.0081594965600831884921542274608 relative error = 0.57923269647852797759622846102093 % h = 0.001 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.5MB, time=118.03 NO POLE NO POLE x[1] = 0.422 y2[1] (analytic) = 1.4095858142021088467170315963406 y2[1] (numeric) = 1.3641643647473270492552656982808 absolute error = 0.0454214494547817974617658980598 relative error = 3.2223259483135796974022094184895 % h = 0.001 y1[1] (analytic) = 1.4095858142021088467170315963406 y1[1] (numeric) = 1.4177918509019895227652255057477 absolute error = 0.0082060366998806760481939094071 relative error = 0.58215942706018750725793595973632 % h = 0.001 TOP MAIN SOLVE Loop memory used=968.9MB, alloc=4.5MB, time=118.51 NO POLE NO POLE x[1] = 0.423 y2[1] (analytic) = 1.410497880850946151439797895052 y2[1] (numeric) = 1.3645099449496778387314116066928 absolute error = 0.0459879359012683127083862883592 relative error = 3.2604044660828576632020829688421 % h = 0.001 y1[1] (analytic) = 1.410497880850946151439797895052 y1[1] (numeric) = 1.4187505806694771584164318964566 absolute error = 0.0082526998185310069766340014046 relative error = 0.58509125965876640808259094135099 % h = 0.001 TOP MAIN SOLVE Loop memory used=972.7MB, alloc=4.5MB, time=119.00 NO POLE NO POLE x[1] = 0.424 y2[1] (analytic) = 1.4114095370019368133720100609405 y2[1] (numeric) = 1.3648498430368861130230398606976 absolute error = 0.0465596939650507003489702002429 relative error = 3.2988082299593253060224560200828 % h = 0.001 y1[1] (analytic) = 1.4114095370019368133720100609405 y1[1] (numeric) = 1.4197090228198771439264025216958 absolute error = 0.0082994858179403305543924607553 relative error = 0.58802818036569222544256838110142 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.425 y2[1] (analytic) = 1.4123207817434247574943495453043 y2[1] (numeric) = 1.3651840256904772420963860858423 absolute error = 0.047136756052947515397963459462 relative error = 3.3375389403220446293634771336617 % h = 0.001 y1[1] (analytic) = 1.4123207817434247574943495453043 y1[1] (numeric) = 1.4206671763431767718044776082957 absolute error = 0.0083463945997520143101280629914 relative error = 0.59097017530598777739683991637936 % h = 0.001 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.5MB, time=119.48 NO POLE NO POLE x[1] = 0.426 y2[1] (analytic) = 1.4132316141641653182559314852307 y2[1] (numeric) = 1.365512459496068214664414884909 absolute error = 0.0477191546680971035915166003217 relative error = 3.3765983006486791092286109881852 % h = 0.001 y1[1] (analytic) = 1.4132316141641653182559314852307 y1[1] (numeric) = 1.4216250402295120929644279910329 absolute error = 0.0083934260653467747084965058022 relative error = 0.59391723063815982513412384691438 % h = 0.001 TOP MAIN SOLVE Loop memory used=980.3MB, alloc=4.5MB, time=119.98 NO POLE NO POLE x[1] = 0.427 y2[1] (analytic) = 1.4141420333533261508188943174277 y2[1] (numeric) = 1.3658351109434044754056281947999 absolute error = 0.0483069224099216754132661226278 relative error = 3.4159880175099848996966654308281 % h = 0.001 y1[1] (analytic) = 1.4141420333533261508188943174277 y1[1] (numeric) = 1.4225826134691689590619796105585 absolute error = 0.0084405801158428082430852931308 relative error = 0.59686933255408813698372741898653 % h = 0.001 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.5MB, time=120.49 NO POLE NO POLE x[1] = 0.428 y2[1] (analytic) = 1.415052038400488141890668713393 y2[1] (numeric) = 1.3661519464263968643561316426203 absolute error = 0.0489000919740912775345370707727 relative error = 3.4557098005643499567980673868831 % h = 0.001 y1[1] (analytic) = 1.415052038400488141890668713393 y1[1] (numeric) = 1.4235398950525840648285528729101 absolute error = 0.0084878566520959229378841595171 relative error = 0.59982646727891494436407384565325 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=988.0MB, alloc=4.5MB, time=120.99 x[1] = 0.429 y2[1] (analytic) = 1.4159616283956463201430150037265 y2[1] (numeric) = 1.3664629322431586584520813328267 absolute error = 0.0494986961524876616909336708998 relative error = 3.4957653625523808808441134471783 % h = 0.001 y1[1] (analytic) = 1.4159616283956463201430150037265 y1[1] (numeric) = 1.4244968839703459904001622405705 absolute error = 0.008535255574699670257147236844 relative error = 0.60278862107093478804633684583205 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.43 y2[1] (analytic) = 1.4168708024292107662169186726246 y2[1] (numeric) = 1.3667680345960427151995269525406 absolute error = 0.050102767833168051017391720084 relative error = 3.53615641929153727846540503354 % h = 0.001 y1[1] (analytic) = 1.4168708024292107662169186726246 y1[1] (numeric) = 1.425453579213196243640421280483 absolute error = 0.0085827767839854774235026078584 relative error = 0.60575578022148475311799806960563 % h = 0.001 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.5MB, time=121.47 NO POLE NO POLE x[1] = 0.431 y2[1] (analytic) = 1.4177795595920075223124339177373 y2[1] (numeric) = 1.3670672195916787184485605455115 absolute error = 0.0507123400003288038638733722258 relative error = 3.5768846896708134467172409426565 % h = 0.001 y1[1] (analytic) = 1.4177795595920075223124339177373 y1[1] (numeric) = 1.4264099797720303024565982509273 absolute error = 0.00863042018002278014416433319 relative error = 0.60872793105483509103849782496411 % h = 0.001 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.5MB, time=121.96 NO POLE NO POLE x[1] = 0.432 y2[1] (analytic) = 1.4186878989752795013625656856203 y2[1] (numeric) = 1.3673604532410105262485737768442 absolute error = 0.0513274457342689751139919087761 relative error = 3.61795189564546718270541725673 % h = 0.001 y1[1] (analytic) = 1.4186878989752795013625656856203 y1[1] (numeric) = 1.4273660846378986571076671666977 absolute error = 0.0086781856626191557451014810774 relative error = 0.61170505992808022718646724047221 % h = 0.001 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.5MB, time=122.46 NO POLE NO POLE x[1] = 0.433 y2[1] (analytic) = 1.4195958196706873957902810089753 y2[1] (numeric) = 1.3676477014593336207613199906065 absolute error = 0.0519481182113537750289610183688 relative error = 3.6593597622317955232757113284379 % h = 0.001 y1[1] (analytic) = 1.4195958196706873957902810089753 y1[1] (numeric) = 1.4283218928020078525032991406128 absolute error = 0.0087260731313204567130181316375 relative error = 0.61468715323103015230531059634963 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1003.2MB, alloc=4.5MB, time=122.94 x[1] = 0.434 y2[1] (analytic) = 1.4205033207703105858477408887429 y2[1] (numeric) = 1.3679289300663326602083708509016 absolute error = 0.0525743907039779256393700378413 relative error = 3.7011100175019572203943378206752 % h = 0.001 y1[1] (analytic) = 1.4205033207703105858477408887429 y1[1] (numeric) = 1.4292774032557215304927386590189 absolute error = 0.008774082485410944644997770276 relative error = 0.61767419738610219626115023855251 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.435 y2[1] (analytic) = 1.4214104013666480475368443818927 y2[1] (numeric) = 1.3682041047861191328294508540403 absolute error = 0.0532062965805289147073935278524 relative error = 3.7432043925788417589248954091311 % h = 0.001 y1[1] (analytic) = 1.4214104013666480475368443818927 y1[1] (numeric) = 1.430232614990561472142509309629 absolute error = 0.0088222136239134246056649277363 relative error = 0.62066617884821318253435346127642 % h = 0.001 TOP MAIN SOLVE Loop memory used=1007.1MB, alloc=4.5MB, time=123.46 NO POLE NO POLE x[1] = 0.436 y2[1] (analytic) = 1.4223170605526192601101769744414 y2[1] (numeric) = 1.3684731912472691128280265051899 absolute error = 0.0538438693053501472821504692515 relative error = 3.7856446216309847245798073200779 % h = 0.001 y1[1] (analytic) = 1.4223170605526192601101769744414 y1[1] (numeric) = 1.4311875269982086400018933417694 absolute error = 0.008870466445589379891716367328 relative error = 0.62366308410467196187303120656482 % h = 0.001 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.5MB, time=123.95 NO POLE NO POLE x[1] = 0.437 y2[1] (analytic) = 1.4232232974215651131514557388264 y2[1] (numeric) = 1.3687361549828611182804204674164 absolute error = 0.05448714243870399487103527141 relative error = 3.8284324418675293308910317419868 % h = 0.001 y1[1] (analytic) = 1.4232232974215651131514557388264 y1[1] (numeric) = 1.4321421382705042203551293018801 absolute error = 0.0089188408489391072036735630537 relative error = 0.62666489967507232354403258664134 % h = 0.001 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.5MB, time=124.44 NO POLE NO POLE x[1] = 0.438 y2[1] (analytic) = 1.4241291110672488132345641952656 y2[1] (numeric) = 1.3689929614305140709846145144826 absolute error = 0.055136149636734742249949680783 relative error = 3.8715695935332339151059134661112 % h = 0.001 y1[1] (analytic) = 1.4241291110672488132345641952656 y1[1] (numeric) = 1.4330964477994506654592718509411 absolute error = 0.0089673367322018522247076556755 relative error = 0.62967161211118628262405728678711 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.439 y2[1] (analytic) = 1.425034500583856790160270218143 y2[1] (numeric) = 1.3692435759324253582247986512306 absolute error = 0.0557909246514314319354715669124 relative error = 3.9150578199035252139694998116111 % h = 0.001 y1[1] (analytic) = 1.425034500583856790160270218143 y1[1] (numeric) = 1.4340504545772127357666577353688 absolute error = 0.0090159539933559456063875172258 relative error = 0.63268320799685774178057005329785 % h = 0.001 TOP MAIN SOLVE Loop memory used=1018.5MB, alloc=4.5MB, time=124.93 NO POLE NO POLE x[1] = 0.44 y2[1] (analytic) = 1.4259394650659996027697207507799 y2[1] (numeric) = 1.3694879637354089964276173069664 absolute error = 0.0564515013305906063421034438135 relative error = 3.9588988672795972314044856967142 % h = 0.001 y1[1] (analytic) = 1.4259394650659996027697207507799 y1[1] (numeric) = 1.4350041575961185421309217488494 absolute error = 0.0090646925301189393612009980695 relative error = 0.63569967394789652599922791055871 % h = 0.001 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.5MB, time=125.41 NO POLE NO POLE x[1] = 0.441 y2[1] (analytic) = 1.4268440036087128443338075151701 y2[1] (numeric) = 1.3697260899909338966859570580878 absolute error = 0.0571179136177789476478504570823 relative error = 4.0030944849835555111442181369185 % h = 0.001 y1[1] (analytic) = 1.4268440036087128443338075151701 y1[1] (numeric) = 1.435957555848660587995506389545 absolute error = 0.0091135522399477436616988743749 relative error = 0.63872099661197278872152168133737 % h = 0.001 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.5MB, time=125.90 NO POLE NO POLE x[1] = 0.442 y2[1] (analytic) = 1.4277481153074580475174983273898 y2[1] (numeric) = 1.3699579197551622321260138963669 absolute error = 0.0577901955522958153914844310229 relative error = 4.0476464253536066284129127839375 % h = 0.001 y1[1] (analytic) = 1.4277481153074580475174983273898 y1[1] (numeric) = 1.4369106483274968115636087851312 absolute error = 0.0091625330200387640461104577414 relative error = 0.6417471626685117878632890004964 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1029.9MB, alloc=4.5MB, time=126.40 x[1] = 0.443 y2[1] (analytic) = 1.4286517992581235889182290544272 y2[1] (numeric) = 1.3701834179889879070932716289161 absolute error = 0.0584683812691356818249574255111 relative error = 4.0925564437392927157804474547166 % h = 0.001 y1[1] (analytic) = 1.4286517992581235889182290544272 y1[1] (numeric) = 1.4378634340254516279485083271923 absolute error = 0.0092116347673280390302792727651 relative error = 0.64477815882858903019167650938785 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.444 y2[1] (analytic) = 1.4295550545570255931774516741134 y2[1] (numeric) = 1.3704025495580751281329165750516 absolute error = 0.0591525049989504650445350990618 relative error = 4.1378262984967708393468328201574 % h = 0.001 y1[1] (analytic) = 1.4295550545570255931774516741134 y1[1] (numeric) = 1.438815911935516971303218326621 absolute error = 0.0092608573784913781257666525076 relative error = 0.64781397183482578254501449048078 % h = 0.001 TOP MAIN SOLVE Loop memory used=1033.8MB, alloc=4.5MB, time=126.89 NO POLE NO POLE x[1] = 0.445 y2[1] (analytic) = 1.4304578803009088366644343266839 y2[1] (numeric) = 1.3706152792328970767401073141185 absolute error = 0.0598426010680117599243270125654 relative error = 4.1834577509841370424337512060482 % h = 0.001 y1[1] (analytic) = 1.4304578803009088366644343266839 y1[1] (numeric) = 1.4397680810508533369284048728394 absolute error = 0.0093102007499445002639705461555 relative error = 0.65085458846128494838691804082562 % h = 0.001 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.5MB, time=127.38 NO POLE NO POLE x[1] = 0.446 y2[1] (analytic) = 1.4313602755869476507314096742436 y2[1] (numeric) = 1.3708215716887746838554118369749 absolute error = 0.0605387038981729668759978372687 relative error = 4.2294525655567948749774332742798 % h = 0.001 y1[1] (analytic) = 1.4313602755869476507314096742436 y1[1] (numeric) = 1.440719940364790823357515951879 absolute error = 0.0093596647778431726261062776354 relative error = 0.65389999551336730819274518129485 % h = 0.001 TOP MAIN SOLVE Loop memory used=1041.4MB, alloc=4.5MB, time=127.87 NO POLE NO POLE x[1] = 0.447 y2[1] (analytic) = 1.4322622395127468245391683130648 y2[1] (numeric) = 1.3710213915059155060806180623522 absolute error = 0.0612408480068313184585502507126 relative error = 4.2758125095628682278286414708361 % h = 0.001 y1[1] (analytic) = 1.4322622395127468245391683130648 y1[1] (numeric) = 1.4416714888708301744180637516271 absolute error = 0.0094092493580833498788954385623 relative error = 0.65695017982770812217332424496133 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1045.2MB, alloc=4.5MB, time=128.35 x[1] = 0.448 y2[1] (analytic) = 1.4331637711763425074521944131981 y2[1] (numeric) = 1.3712147031694527035900172978268 absolute error = 0.0619490680068898038621771153713 relative error = 4.3225393533386582921716806135085 % h = 0.001 y1[1] (analytic) = 1.4331637711763425074521944131981 y1[1] (numeric) = 1.442622725562643821268002956871 absolute error = 0.0094589543863013138158085436729 relative error = 0.66000512827207409384761067324275 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.449 y2[1] (analytic) = 1.4340648696762031110024411903364 y2[1] (numeric) = 1.3714014710694841197121538537626 absolute error = 0.0626633986067189912902873365738 relative error = 4.3696348702041444652751917141126 % h = 0.001 y1[1] (analytic) = 1.4340648696762031110024411903364 y1[1] (numeric) = 1.4435736494340769244061477121436 absolute error = 0.0095087797578738134037065218072 relative error = 0.66306482774526069298264715887773 % h = 0.001 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.5MB, time=128.85 NO POLE NO POLE x[1] = 0.45 y2[1] (analytic) = 1.4349655341112302104208442462319 y2[1] (numeric) = 1.3715816595011114621569276574239 absolute error = 0.063383874610118748263916588808 relative error = 4.4171008364585290247830367534337 % h = 0.001 y1[1] (analytic) = 1.4349655341112302104208442462319 y1[1] (numeric) = 1.4445242594791484156555698068005 absolute error = 0.0095587253679182052347255605686 relative error = 0.6661292651769898364258810983331 % h = 0.001 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.5MB, time=129.36 NO POLE NO POLE x[1] = 0.451 y2[1] (analytic) = 1.4358657635807594457356712462275 y2[1] (numeric) = 1.3717552326644795858628303636211 absolute error = 0.0641105309162798598728408826064 relative error = 4.4649390313758253947438811217268 % h = 0.001 y1[1] (analytic) = 1.4358657635807594457356712462275 y1[1] (numeric) = 1.4454745546920520401189205142339 absolute error = 0.0096087911112925943832492680064 relative error = 0.66919842752780792536153973795081 % h = 0.001 TOP MAIN SOLVE Loop memory used=1056.6MB, alloc=4.5MB, time=129.85 NO POLE NO POLE x[1] = 0.452 y2[1] (analytic) = 1.4367655571845614224368068356284 y2[1] (numeric) = 1.3719221546648158774389891178515 absolute error = 0.0648434025197455449978177177769 relative error = 4.5131512372004898275631580757503 % h = 0.001 y1[1] (analytic) = 1.4367655571845614224368068356284 y1[1] (numeric) = 1.4464245340671573981046183956597 absolute error = 0.0096589768825959756678115600313 relative error = 0.67227230178898423752937640298049 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.453 y2[1] (analytic) = 1.4376649140228426117050721307038 y2[1] (numeric) = 1.372082389512469741176585798035 absolute error = 0.0655825245103728705284863326688 relative error = 4.5617392391430963270409869229709 % h = 0.001 y1[1] (analytic) = 1.4376649140228426117050721307038 y1[1] (numeric) = 1.4473741965990109870228452584938 absolute error = 0.00970928257616837531777312779 relative error = 0.67535087498240967295068096973926 % h = 0.001 TOP MAIN SOLVE Loop memory used=1060.5MB, alloc=4.5MB, time=130.36 NO POLE NO POLE x[1] = 0.454 y2[1] (analytic) = 1.4385638331962462502056785550742 y2[1] (numeric) = 1.3722359011229521866041132417384 absolute error = 0.0663279320732940636015653133358 relative error = 4.6107048253760546386343446079086 % h = 0.001 y1[1] (analytic) = 1.4385638331962462502056785550742 y1[1] (numeric) = 1.44832354128233724325029233997 absolute error = 0.0097597080860909930446137848958 relative error = 0.67843413416049585171299446127089 % h = 0.001 TOP MAIN SOLVE Loop memory used=1064.3MB, alloc=4.5MB, time=130.86 NO POLE NO POLE x[1] = 0.455 y2[1] (analytic) = 1.4394623138058532394449162281053 y2[1] (numeric) = 1.3723826533169755175608236573322 absolute error = 0.0670796604888777218840925707731 relative error = 4.6600497870293711340513896363284 % h = 0.001 y1[1] (analytic) = 1.4394623138058532394449162281053 y1[1] (numeric) = 1.4492725671120395839625986683372 absolute error = 0.0098102533061863445176824402319 relative error = 0.68152206640607456237148149683549 % h = 0.001 TOP MAIN SOLVE Loop memory used=1068.1MB, alloc=4.5MB, time=131.35 NO POLE NO POLE x[1] = 0.456 y2[1] (analytic) = 1.4403603549531830446891775486958 y2[1] (numeric) = 1.3725226098204931227626181199474 absolute error = 0.0678377451326899219265594287484 relative error = 4.7097759181864524182503383296044 % h = 0.001 y1[1] (analytic) = 1.4403603549531830446891775486958 y1[1] (numeric) = 1.4502212730832014489334234367146 absolute error = 0.0098609181300184042442458880188 relative error = 0.68461465883229755953139548590827 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1071.9MB, alloc=4.5MB, time=131.84 x[1] = 0.457 y2[1] (analytic) = 1.4412579557401945934454170555095 y2[1] (numeric) = 1.3726557342647393678345197664984 absolute error = 0.0686022214754552256108972890111 relative error = 4.7598850158799514878747265643684 % h = 0.001 y1[1] (analytic) = 1.4412579557401945934454170555095 y1[1] (numeric) = 1.4511696581910873422990941084785 absolute error = 0.009911702450892748853677052969 relative error = 0.68771189858253670918252010732777 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.458 y2[1] (analytic) = 1.442155115269287173502149083267 y2[1] (numeric) = 1.3727819901862695887837670285274 absolute error = 0.0693731250830175847183820547396 relative error = 4.8103788800876562711112855427578 % h = 0.001 y1[1] (analytic) = 1.442155115269287173502149083267 y1[1] (numeric) = 1.4521177214311438742877718578999 absolute error = 0.0099626061618567007856227746329 relative error = 0.69081377283028448036288693123857 % h = 0.001 TOP MAIN SOLVE Loop memory used=1075.7MB, alloc=4.5MB, time=132.33 NO POLE NO POLE x[1] = 0.459 y2[1] (analytic) = 1.443051832643301330530085174175 y2[1] (numeric) = 1.3729013410270001868874569773095 absolute error = 0.0701504916163011436426281968655 relative error = 4.8612593137284203799060476902743 % h = 0.001 y1[1] (analytic) = 1.443051832643301330530085174175 y1[1] (numeric) = 1.453065461799000802912075835656 absolute error = 0.010013629155699472381990661481 relative error = 0.69392026877905478173545320326887 % h = 0.001 TOP MAIN SOLVE Loop memory used=1079.5MB, alloc=4.5MB, time=132.83 NO POLE NO POLE x[1] = 0.46 y2[1] (analytic) = 1.4439481069655197652415136439289 y2[1] (numeric) = 1.3730137501342488249685626026484 absolute error = 0.0709343568312709402729510412805 relative error = 4.9125281226581359064187082389096 % h = 0.001 y1[1] (analytic) = 1.4439481069655197652415136439289 y1[1] (numeric) = 1.4540128782904720756241076357928 absolute error = 0.0100647713249523103825939918639 relative error = 0.69703137366228414166777599248276 % h = 0.001 TOP MAIN SOLVE Loop memory used=1083.3MB, alloc=4.5MB, time=133.32 NO POLE NO POLE x[1] = 0.461 y2[1] (analytic) = 1.4448439373396682301075241429856 y2[1] (numeric) = 1.3731191807607747250340416051978 absolute error = 0.0717247565788935050734825377878 relative error = 4.9641871156657480965347289864234 % h = 0.001 y1[1] (analytic) = 1.4448439373396682301075241429856 y1[1] (numeric) = 1.454959969901556870931817228728 absolute error = 0.0101160325618886408242930857424 relative error = 0.70014707474323323041103928182484 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.462 y2[1] (analytic) = 1.4457393228699164256321804959556 y2[1] (numeric) = 1.3732175960648190672486480520727 absolute error = 0.0725217268050973583835324438829 relative error = 5.0162381044693117341892125069825 % h = 0.001 y1[1] (analytic) = 1.4457393228699164256321804959556 y1[1] (numeric) = 1.4559067356284406399756515139473 absolute error = 0.0101674127585242143434710179917 relative error = 0.70326735931488872298107932627734 % h = 0.001 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.5MB, time=133.81 NO POLE NO POLE x[1] = 0.463 y2[1] (analytic) = 1.446634262660878896182745545017 y2[1] (numeric) = 1.3733089591101454902179520270768 absolute error = 0.0733253035507334059647935179402 relative error = 5.0686829037120890711862269214273 % h = 0.001 y1[1] (analytic) = 1.446634262660878896182745545017 y1[1] (numeric) = 1.4568531744674961480644265361689 absolute error = 0.0102189118066172518816809911519 relative error = 0.70639221469986550135031089222054 % h = 0.001 TOP MAIN SOLVE Loop memory used=1091.0MB, alloc=4.5MB, time=134.30 NO POLE NO POLE x[1] = 0.464 y2[1] (analytic) = 1.4475287558176159253750621672001 y2[1] (numeric) = 1.3733932328660806925539662001755 absolute error = 0.0741355229515352328210959670246 relative error = 5.1215233309586891381220522324834 % h = 0.001 y1[1] (analytic) = 1.4475287558176159253750621672001 y1[1] (numeric) = 1.4577992854152845161693642999255 absolute error = 0.0102705295976685907943021327254 relative error = 0.70952162825030919456568299351143 % h = 0.001 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.5MB, time=134.80 NO POLE NO POLE x[1] = 0.465 y2[1] (analytic) = 1.4484228014456344310131950802375 y2[1] (numeric) = 1.3734703802075551356966720460004 absolute error = 0.0749524212380792953165230342371 relative error = 5.1747612066912482729407780274139 % h = 0.001 y1[1] (analytic) = 1.4484228014456344310131950802375 y1[1] (numeric) = 1.4587450674685562623752350097455 absolute error = 0.010322266022921831362039929508 relative error = 0.71265558734779905541398762610441 % h = 0.001 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.5MB, time=135.31 NO POLE NO POLE x[1] = 0.466 y2[1] (analytic) = 1.4493163986508888595824384974118 y2[1] (numeric) = 1.3735403639151438479646322582841 absolute error = 0.0757760347357450116178062391277 relative error = 5.2283983543056517045658377048057 % h = 0.001 y1[1] (analytic) = 1.4493163986508888595824384974118 y1[1] (numeric) = 1.4596905196242523432875454564016 absolute error = 0.0103741209733634837051069589898 relative error = 0.71579407940325117226200894368966 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.467 y2[1] (analytic) = 1.4502095465397820802947951384674 y2[1] (numeric) = 1.3736031466751073298077697363114 absolute error = 0.076606399864674750487025402156 relative error = 5.282436600107796029961444772725 % h = 0.001 y1[1] (analytic) = 1.4502095465397820802947951384674 y1[1] (numeric) = 1.4606356408795051953947141640381 absolute error = 0.0104260943397231150999190255707 relative error = 0.71893709185682201470513348023389 % h = 0.001 TOP MAIN SOLVE Loop memory used=1102.4MB, alloc=4.5MB, time=135.80 NO POLE NO POLE x[1] = 0.468 y2[1] (analytic) = 1.4511022442191662786860325511832 y2[1] (numeric) = 1.3736586910794325602352873608323 absolute error = 0.0774435531397337184507451903509 relative error = 5.3368777733098924238835304962772 % h = 0.001 y1[1] (analytic) = 1.4511022442191662786860325511832 y1[1] (numeric) = 1.4615804302316397763841738083888 absolute error = 0.0104781860124734976981412572056 relative error = 0.72208461217781231166414457930334 % h = 0.001 TOP MAIN SOLVE Loop memory used=1106.2MB, alloc=4.5MB, time=136.29 NO POLE NO POLE x[1] = 0.469 y2[1] (analytic) = 1.4519944907963438497634231466225 y2[1] (numeric) = 1.3737069596258741043915966305346 absolute error = 0.0782875311704697453718265160879 relative error = 5.3917237060268104214806973704016 % h = 0.001 y1[1] (analytic) = 1.4519944907963438497634231466225 y1[1] (numeric) = 1.4625248866781746064113413127526 absolute error = 0.0105303958818307566479181661301 relative error = 0.72523662786457126057599630156852 % h = 0.001 TOP MAIN SOLVE Loop memory used=1110.1MB, alloc=4.5MB, time=136.78 NO POLE NO POLE x[1] = 0.47 y2[1] (analytic) = 1.4528862853790682907032748003964 y2[1] (numeric) = 1.3737479147179953222530170962194 absolute error = 0.079138370661072968450257704177 relative error = 5.4469762332724621148019275139166 % h = 0.001 y1[1] (analytic) = 1.4528862853790682907032748003964 y1[1] (numeric) = 1.463469009216822809320395925907 absolute error = 0.0105827238377545186171211255106 relative error = 0.72839312644440106633040391606537 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1113.9MB, alloc=4.5MB, time=137.28 x[1] = 0.471 y2[1] (analytic) = 1.4537776270755450930973593224828 y2[1] (numeric) = 1.373781518665209678417902408374 absolute error = 0.0799961084103354146794569141088 relative error = 5.5026371929562266051593469033963 % h = 0.001 y1[1] (analytic) = 1.4537776270755450930973593224828 y1[1] (numeric) = 1.4644127968454931538158054847116 absolute error = 0.0106351697699480607184461622288 relative error = 0.73155409547346180861009980340122 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.472 y2[1] (analytic) = 1.4546685149944326347473465492482 y2[1] (numeric) = 1.3738077336828221529627426850051 absolute error = 0.0808607813116104817846038642431 relative error = 5.5587084258794145541812730006334 % h = 0.001 y1[1] (analytic) = 1.4546685149944326347473465492482 y1[1] (numeric) = 1.4653562485622910945835409637788 absolute error = 0.0106877335678584598361944145306 relative error = 0.73471952253667663629858537254782 % h = 0.001 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.5MB, time=137.76 NO POLE NO POLE x[1] = 0.473 y2[1] (analytic) = 1.4555589482448430710063522633121 y2[1] (numeric) = 1.3738265218920707533366868104831 absolute error = 0.081732426352772317669665452829 relative error = 5.6151917757317726772730922139302 % h = 0.001 y1[1] (analytic) = 1.4555589482448430710063522633121 y1[1] (numeric) = 1.4662993633655198133609193152767 absolute error = 0.0107404151206767423545670519646 relative error = 0.73788939524763728762516158138442 % h = 0.001 TOP MAIN SOLVE Loop memory used=1121.5MB, alloc=4.5MB, time=138.26 NO POLE NO POLE x[1] = 0.474 y2[1] (analytic) = 1.4564489259363432256667085997792 y2[1] (numeric) = 1.3738378453201681272668221928732 absolute error = 0.082611080616175098399886406906 relative error = 5.6720890890880280240812520406321 % h = 0.001 y1[1] (analytic) = 1.4564489259363432256667085997792 y1[1] (numeric) = 1.4672421402536812599540145036698 absolute error = 0.0107932143173380342873059038906 relative error = 0.74106370124850993472294301547883 % h = 0.001 TOP MAIN SOLVE Loop memory used=1125.3MB, alloc=4.5MB, time=138.75 NO POLE NO POLE x[1] = 0.475 y2[1] (analytic) = 1.4573384471789554813930660511461 y2[1] (numeric) = 1.3738416659003432766464434368934 absolute error = 0.0834967812786122047466226142527 relative error = 5.7294022154044718914288377682193 % h = 0.001 y1[1] (analytic) = 1.4573384471789554813930660511461 y1[1] (numeric) = 1.4681845782254771932015765430074 absolute error = 0.0108461310465217118085104918613 relative error = 0.74424242820994135128145338107434 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.476 y2[1] (analytic) = 1.4582275110831586696999366378509 y2[1] (numeric) = 1.3738379454718833723784353323548 absolute error = 0.0843895656112752973215013054961 relative error = 5.7871330070155832150598621969493 % h = 0.001 y1[1] (analytic) = 1.4582275110831586696999366378509 y1[1] (numeric) = 1.4691266762798102218843982482259 absolute error = 0.010899165196651552184461610375 relative error = 0.74742556383096540198126386705821 % h = 0.001 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.5MB, time=139.23 NO POLE NO POLE x[1] = 0.477 y2[1] (analytic) = 1.4591161167598889604727882670001 y2[1] (numeric) = 1.3738266457801756701457895138165 absolute error = 0.0852894709797132903269987531836 relative error = 5.8452833191306912873935557581937 % h = 0.001 y1[1] (analytic) = 1.4591161167598889604727882670001 y1[1] (numeric) = 1.4700684334157848455790693168523 absolute error = 0.0109523166558958851062810498522 relative error = 0.75061309583890985240397028496239 % h = 0.001 TOP MAIN SOLVE Loop memory used=1132.9MB, alloc=4.5MB, time=139.72 NO POLE NO POLE x[1] = 0.478 y2[1] (analytic) = 1.4600042633205407510318007582506 y2[1] (numeric) = 1.3738077284767495270811681163332 absolute error = 0.0861965348437912239506326419174 relative error = 5.9038550098306776493496302409525 % h = 0.001 y1[1] (analytic) = 1.4600042633205407510318007582506 y1[1] (numeric) = 1.4710098486327084954550572634724 absolute error = 0.0110055853121677444232565052218 relative error = 0.75380501198930349811661036497426 % h = 0.001 TOP MAIN SOLVE Loop memory used=1136.8MB, alloc=4.5MB, time=140.23 NO POLE NO POLE x[1] = 0.479 y2[1] (analytic) = 1.4608919498769675547373944731655 y2[1] (numeric) = 1.373781155119318519307321734695 absolute error = 0.0871107947576490354300727384705 relative error = 5.9628499400647170051607285455805 % h = 0.001 y1[1] (analytic) = 1.4608919498769675547373944731655 y1[1] (numeric) = 1.471950920930092575014054636362 absolute error = 0.0110589710531250202766601631965 relative error = 0.75700130006578361163539922541746 % h = 0.001 TOP MAIN SOLVE Loop memory used=1140.6MB, alloc=4.5MB, time=140.73 NO POLE NO POLE x[1] = 0.48 y2[1] (analytic) = 1.4617791755414828891366429425886 y2[1] (numeric) = 1.373746887171822660320062989573 absolute error = 0.0880322883696602288165799530156 relative error = 6.0222699736470570099390917340223 % h = 0.001 y1[1] (analytic) = 1.4617791755414828891366429425886 y1[1] (numeric) = 1.4728916493076535007705318537779 absolute error = 0.0111124737661706116338889111893 relative error = 0.7602019478800037059794090005186 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.481 y2[1] (analytic) = 1.4626659394268611636496813457004 y2[1] (numeric) = 1.3737048860044707201853910135894 absolute error = 0.088961053422390443464290332111 relative error = 6.0821169772538367806108992562154 % h = 0.001 y1[1] (analytic) = 1.4626659394268611636496813457004 y1[1] (numeric) = 1.4738320327653137428724349065588 absolute error = 0.0111660933384525792227535608584 relative error = 0.7634069432715416135305380606554 % h = 0.001 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.5MB, time=141.24 NO POLE NO POLE x[1] = 0.482 y2[1] (analytic) = 1.4635522406463385667952231544191 y2[1] (numeric) = 1.3736551128937826455222561936456 absolute error = 0.0898971277525559212729669607735 relative error = 6.1423928204199439816737945562497 % h = 0.001 y1[1] (analytic) = 1.4635522406463385667952231544191 y1[1] (numeric) = 1.4747720703032028656609670839009 absolute error = 0.0112198296568642988657439294818 relative error = 0.76661627410780787892180634603733 % h = 0.001 TOP MAIN SOLVE Loop memory used=1148.2MB, alloc=4.5MB, time=141.73 NO POLE NO POLE x[1] = 0.483 y2[1] (analytic) = 1.4644380783136139529542977177052 y2[1] (numeric) = 1.3735975290226320802423485429689 absolute error = 0.0908405492909818727119491747363 relative error = 6.2030993755359103380708220957756 % h = 0.001 y1[1] (analytic) = 1.4644380783136139529542977177052 y1[1] (numeric) = 1.4757117609216585681683937904501 absolute error = 0.0112736826080446152140960727449 relative error = 0.76982992828395446468167621154317 % h = 0.001 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.5MB, time=142.22 NO POLE NO POLE x[1] = 0.484 y2[1] (analytic) = 1.4653234515428497286713220221064 y2[1] (numeric) = 1.3735320954802889870181871273911 absolute error = 0.0917913560625607416531348947153 relative error = 6.2642385178448454283073988118511 % h = 0.001 y1[1] (analytic) = 1.4653234515428497286713220221064 y1[1] (numeric) = 1.4766511036212277245528094351868 absolute error = 0.0113276520783779958814874130804 relative error = 0.77304789372278376836773300011813 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1155.8MB, alloc=4.5MB, time=142.71 x[1] = 0.485 y2[1] (analytic) = 1.4662083594486727384916203275428 y2[1] (numeric) = 1.3734587732624623694506820354572 absolute error = 0.0927495861862103690409382920856 relative error = 6.3258121254394086117670486316843 % h = 0.001 y1[1] (analytic) = 1.4662083594486727384916203275428 y1[1] (numeric) = 1.4775900974026674244688052859757 absolute error = 0.0113817379539946859771849584329 relative error = 0.7762701583746579499286664764951 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.486 y2[1] (analytic) = 1.4670928011461751503345058408895 y2[1] (numeric) = 1.373377523271343094907234461188 absolute error = 0.0937152778748320554272713797015 relative error = 6.3878220792588189450064682213418 % h = 0.001 y1[1] (analytic) = 1.4670928011461751503345058408895 y1[1] (numeric) = 1.4785287412669460133729770981095 absolute error = 0.01143594012077086303847125722 relative error = 0.77949671021740856803907341198502 % h = 0.001 TOP MAIN SOLVE Loop memory used=1159.6MB, alloc=4.5MB, time=143.20 NO POLE NO POLE x[1] = 0.487 y2[1] (analytic) = 1.4679767757509153404010390543462 y2[1] (numeric) = 1.3732883063156468180013345618015 absolute error = 0.0946884694352685223997044925447 relative error = 6.4502702630859029426310908158011 % h = 0.001 y1[1] (analytic) = 1.4679767757509153404010390543462 y1[1] (numeric) = 1.4794670342152441327632112406948 absolute error = 0.0114902584643287923621721863486 relative error = 0.78272753725624652415715316592576 % h = 0.001 TOP MAIN SOLVE Loop memory used=1163.5MB, alloc=4.5MB, time=143.70 NO POLE NO POLE x[1] = 0.488 y2[1] (analytic) = 1.4688602823789187776155778409106 y2[1] (numeric) = 1.3731910831106570046845108605343 absolute error = 0.0956691992682617729310669803763 relative error = 6.5131585635441800391686977792933 % h = 0.001 y1[1] (analytic) = 1.4688602823789187776155778409106 y1[1] (numeric) = 1.4804049752489557603506879613054 absolute error = 0.0115446928700369827351101203948 relative error = 0.78596262752367231306089220729488 % h = 0.001 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.5MB, time=144.19 NO POLE NO POLE x[1] = 0.489 y2[1] (analytic) = 1.4697433201466789076002348654785 y2[1] (numeric) = 1.3730858142782680569213790870128 absolute error = 0.0966575058684108506788557784657 relative error = 6.5764888700949856091708193366538 % h = 0.001 y1[1] (analytic) = 1.4697433201466789076002348654785 y1[1] (numeric) = 1.4813425633696892501635403469713 absolute error = 0.0115992432230103425633054814928 relative error = 0.78920196907938657862383031069075 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.49 y2[1] (analytic) = 1.470625888171158036181358337188 y2[1] (numeric) = 1.3729724603470285379184324845122 absolute error = 0.0976534278241294982629258526758 relative error = 6.6402630750346314035796914074045 % h = 0.001 y1[1] (analytic) = 1.470625888171158036181358337188 y1[1] (numeric) = 1.4822797975792683725811074582725 absolute error = 0.0116539094081103363997491210845 relative error = 0.79244555001020097359697079029114 % h = 0.001 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.5MB, time=144.68 NO POLE NO POLE x[1] = 0.491 y2[1] (analytic) = 1.4715079855697882124271525965983 y2[1] (numeric) = 1.3728509817521844978771097650142 absolute error = 0.0986570038176037145500428315841 relative error = 6.7044830734916032612024192213302 % h = 0.001 y1[1] (analytic) = 1.4715079855697882124271525965983 y1[1] (numeric) = 1.4832166768797333542977200330714 absolute error = 0.0117086913099451418705674364731 relative error = 0.79569335842994932216883975089774 % h = 0.001 TOP MAIN SOLVE Loop memory used=1174.9MB, alloc=4.5MB, time=145.17 NO POLE NO POLE x[1] = 0.492 y2[1] (analytic) = 1.4723896114604721112155555001594 y2[1] (numeric) = 1.3727213388357229002415710593462 absolute error = 0.0996682726247492109739844408132 relative error = 6.7691507634237959549337648049013 % h = 0.001 y1[1] (analytic) = 1.4723896114604721112155555001594 y1[1] (numeric) = 1.4841532002733419182149570772457 absolute error = 0.0117635888128698069994015770863 relative error = 0.79894538247939908408111508119797 % h = 0.001 TOP MAIN SOLVE Loop memory used=1178.7MB, alloc=4.5MB, time=145.66 NO POLE NO POLE x[1] = 0.493 y2[1] (analytic) = 1.4732707649615839153314900341658 y2[1] (numeric) = 1.3725834918464151484115063909631 absolute error = 0.1006872731151687669199836432027 relative error = 6.8342680456157850331646487585779 % h = 0.001 y1[1] (analytic) = 1.4732707649615839153314900341658 y1[1] (numeric) = 1.4850893667625703232613115816704 absolute error = 0.0118186018009864079298215475046 relative error = 0.80220161032616311908263493666194 % h = 0.001 TOP MAIN SOLVE Loop memory used=1182.5MB, alloc=4.5MB, time=146.16 NO POLE NO POLE x[1] = 0.494 y2[1] (analytic) = 1.4741514451919701970926080610182 y2[1] (numeric) = 1.3724374009398607128901953982232 absolute error = 0.101714044252109484202412662795 relative error = 6.8998368236761355176050611071402 % h = 0.001 y1[1] (analytic) = 1.4741514451919701970926080610182 y1[1] (numeric) = 1.4860251753501144041382035276514 absolute error = 0.0118737301581442070455954666332 relative error = 0.80546203016461175050995790076966 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.495 y2[1] (analytic) = 1.4750316512709507995026445721214 y2[1] (numeric) = 1.3722830261785308588379312414293 absolute error = 0.1027486250924199406647133306921 relative error = 6.9658590040347473195376353593087 % h = 0.001 y1[1] (analytic) = 1.4750316512709507995026445721214 y1[1] (numeric) = 1.4869606250388906109912782670265 absolute error = 0.0119289737679398114886336949051 relative error = 0.80872663021578512678798301731254 % h = 0.001 TOP MAIN SOLVE Loop memory used=1186.3MB, alloc=4.5MB, time=146.64 NO POLE NO POLE x[1] = 0.496 y2[1] (analytic) = 1.475911382318319716931501294139 y2[1] (numeric) = 1.3721203275318124740008158575529 absolute error = 0.1037910547865072429306854365861 relative error = 7.0323364959402372373016780769499 % h = 0.001 y1[1] (analytic) = 1.475911382318319716931501294139 y1[1] (numeric) = 1.4878957148320370490059282882287 absolute error = 0.0119843325137173320744269940897 relative error = 0.81199539872730587964944759479161 % h = 0.001 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.5MB, time=147.16 NO POLE NO POLE x[1] = 0.497 y2[1] (analytic) = 1.4767906374543459753211789685932 y2[1] (numeric) = 1.3719492648760519969848279675549 absolute error = 0.1048413725782939783363510010383 relative error = 7.0992712114573573985869868974435 % h = 0.001 y1[1] (analytic) = 1.4767906374543459753211789685932 y1[1] (numeric) = 1.4888304437329145179259763057458 absolute error = 0.0120398062785685426047973371526 relative error = 0.81526832397329207787740423814494 % h = 0.001 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.5MB, time=147.65 NO POLE NO POLE x[1] = 0.498 y2[1] (analytic) = 1.4776694157997745119166780989527 y2[1] (numeric) = 1.3717697979945994458449594986586 absolute error = 0.1058996178051750660717186002941 relative error = 7.1666650654644500118923566034722 % h = 0.001 y1[1] (analytic) = 1.4776694157997745119166780989527 y1[1] (numeric) = 1.4897648107451075514944575376177 absolute error = 0.012095394945333039577779438665 relative error = 0.81854539425427047538003610332538 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1197.8MB, alloc=4.5MB, time=148.14 x[1] = 0.499 y2[1] (analytic) = 1.4785477164758270545209884343788 y2[1] (numeric) = 1.3715818865778525469591103569363 absolute error = 0.1069658298979745075618780774425 relative error = 7.2345199756509382922752888745488 % h = 0.001 y1[1] (analytic) = 1.4785477164758270545209884343788 y1[1] (numeric) = 1.490698814872425456815438963879 absolute error = 0.0121510983965984022944505295002 relative error = 0.8218265978970900524124010365308 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.5 y2[1] (analytic) = 1.4794255386042030002732879352156 y2[1] (numeric) = 1.3713854902233009641563257742455 absolute error = 0.1080400483809020361169621609701 relative error = 7.3028378625148534272871100262309 % h = 0.001 y1[1] (analytic) = 1.4794255386042030002732879352156 y1[1] (numeric) = 1.4916324551189033536358132881886 absolute error = 0.012206916514700353362525352973 relative error = 0.82511192325483584876490119041099 % h = 0.001 TOP MAIN SOLVE Loop memory used=1201.6MB, alloc=4.5MB, time=148.63 NO POLE NO POLE x[1] = 0.501 y2[1] (analytic) = 1.4803028813070802939494724420977 y2[1] (numeric) = 1.371180568435570628068854758004 absolute error = 0.1091223128715096658806176840937 relative error = 7.3716206493603974497514854446452 % h = 0.001 y1[1] (analytic) = 1.4803028813070802939494724420977 y1[1] (numeric) = 1.4925657304888032135460052552835 absolute error = 0.0122628491817229195965328131858 relative error = 0.82840135870674308774345504298973 % h = 0.001 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.5MB, time=149.12 NO POLE NO POLE x[1] = 0.502 y2[1] (analytic) = 1.4811797437071163057841377482187 y2[1] (numeric) = 1.3709670806264681656774024926365 absolute error = 0.1102126630806481401067352555822 relative error = 7.4408702622955418848042225152147 % h = 0.001 y1[1] (analytic) = 1.4811797437071163057841377482187 y1[1] (numeric) = 1.4934986399866148990985279083571 absolute error = 0.0123188962794985933143901601384 relative error = 0.83169489265811158977150361815958 % h = 0.001 TOP MAIN SOLVE Loop memory used=1209.2MB, alloc=4.5MB, time=149.61 NO POLE NO POLE x[1] = 0.503 y2[1] (analytic) = 1.4820561249274487088131362528522 y2[1] (numeric) = 1.3707449861150254300188438778623 absolute error = 0.1113111388124232787942923749899 relative error = 7.5105886302296620393682984449528 % h = 0.001 y1[1] (analytic) = 1.4820561249274487088131362528522 y1[1] (numeric) = 1.4944311826170572028433263029859 absolute error = 0.0123750576896084940301900501337 relative error = 0.83499251354022047444911225554053 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.504 y2[1] (analytic) = 1.4829320240916963557358308536409 y2[1] (numeric) = 1.370514244127544130025559741441 absolute error = 0.1124177799641522257102711121999 relative error = 7.5807776848712068029902581674802 % h = 0.001 y1[1] (analytic) = 1.4829320240916963557358308536409 y1[1] (numeric) = 1.4953633573850788862788461278216 absolute error = 0.0124313332933825305430152741807 relative error = 0.83829420981024314990953363857808 % h = 0.001 TOP MAIN SOLVE Loop memory used=1213.1MB, alloc=4.5MB, time=150.13 NO POLE NO POLE x[1] = 0.505 y2[1] (analytic) = 1.4838074403239601552961692154743 y2[1] (numeric) = 1.3702748137976405604654516326528 absolute error = 0.1135326265263195948307175828215 relative error = 7.6514393607254038297125230429654 % h = 0.001 y1[1] (analytic) = 1.4838074403239601552961692154743 y1[1] (numeric) = 1.4962951632958597187177646169205 absolute error = 0.0124877229718995634215954014462 relative error = 0.84159996995116258831867709683033 % h = 0.001 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.5MB, time=150.62 NO POLE NO POLE x[1] = 0.506 y2[1] (analytic) = 1.4846823727488239481817020349524 y2[1] (numeric) = 1.370026654166290431951585487776 absolute error = 0.1146557185825335162301165471764 relative error = 7.7225755950919999714007557268538 % h = 0.001 y1[1] (analytic) = 1.4846823727488239481817020349524 y1[1] (numeric) = 1.4972265993548115160663210743031 absolute error = 0.0125442266059875678846190393507 relative error = 0.84490978247168688636798358630596 % h = 0.001 TOP MAIN SOLVE Loop memory used=1220.7MB, alloc=4.5MB, time=151.11 NO POLE NO POLE x[1] = 0.507 y2[1] (analytic) = 1.4855568204913553824396694014904 y2[1] (numeric) = 1.3697697241818738009903088602439 absolute error = 0.1157870963094815814493605412465 relative error = 7.7941883280630368336862626525797 % h = 0.001 y1[1] (analytic) = 1.4855568204913553824396694014904 y1[1] (numeric) = 1.4981576645675791795161842681249 absolute error = 0.0126008440762237970765148666345 relative error = 0.84822363590616510961623535310522 % h = 0.001 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.5MB, time=151.60 NO POLE NO POLE x[1] = 0.508 y2[1] (analytic) = 1.4864307826771067884092798390526 y2[1] (numeric) = 1.3695039827002201000365808261247 absolute error = 0.1169267999768866883726990129279 relative error = 7.8662795025206613264205051895159 % h = 0.001 y1[1] (analytic) = 1.4864307826771067884092798390526 y1[1] (numeric) = 1.4990883579400417341477938896909 absolute error = 0.0126575752629349457385140506383 relative error = 0.85154151881450341954083423296779 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.509 y2[1] (analytic) = 1.4873042584321160531693070963062 y2[1] (numeric) = 1.3692293884846532675251481101822 absolute error = 0.118074869947462785644158986124 relative error = 7.9388510641349710812721556989017 % h = 0.001 y1[1] (analytic) = 1.4873042584321160531693070963062 y1[1] (numeric) = 1.5000186784783133674441132114658 absolute error = 0.0127144200461973142748061151596 relative error = 0.8548634197820814821640629649977 % h = 0.001 TOP MAIN SOLVE Loop memory used=1228.3MB, alloc=4.5MB, time=152.09 NO POLE NO POLE x[1] = 0.51 y2[1] (analytic) = 1.4881772468829074945001302376746 y2[1] (numeric) = 1.3689459002060369778460954291505 absolute error = 0.1192313466768705166540348085241 relative error = 8.0119049613618946098267972864863 % h = 0.001 y1[1] (analytic) = 1.4881772468829074945001302376746 y1[1] (numeric) = 1.5009486251887444677137300182161 absolute error = 0.0127713783058369732135997805415 relative error = 0.85818932741966915712479993127892 % h = 0.001 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.5MB, time=152.59 NO POLE NO POLE x[1] = 0.511 y2[1] (analytic) = 1.4890497471564927343593430733201 y2[1] (numeric) = 1.3686534764428199712331925171009 absolute error = 0.1203962707136727631261505562192 relative error = 8.0854431454411060762753477752157 % h = 0.001 y1[1] (analytic) = 1.4890497471564927343593430733201 y1[1] (numeric) = 1.5018781970779226624222428264727 absolute error = 0.0128284499214299280628997531526 relative error = 0.86151923036334346607108950733422 % h = 0.001 TOP MAIN SOLVE Loop memory used=1235.9MB, alloc=4.5MB, time=153.10 NO POLE NO POLE x[1] = 0.512 y2[1] (analytic) = 1.4899217583803715718700594525215 y2[1] (numeric) = 1.368352075681081483533354783004 absolute error = 0.1215696826992900883367046695175 relative error = 8.1594675703939745594996109000075 % h = 0.001 y1[1] (analytic) = 1.4899217583803715718700594525215 y1[1] (numeric) = 1.5028073931526738564308693496188 absolute error = 0.0128856347723022845608098970973 relative error = 0.86485311727440583925387784882201 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1239.8MB, alloc=4.5MB, time=153.59 x[1] = 0.513 y2[1] (analytic) = 1.4907932796825328558210414322121 y2[1] (numeric) = 1.3680416563145767758254290529027 absolute error = 0.1227516233679560799956123793094 relative error = 8.2339801930215476800820424317532 % h = 0.001 y1[1] (analytic) = 1.4907932796825328558210414322121 y1[1] (numeric) = 1.5037362124200632701412141090944 absolute error = 0.0129429327375304143201726768823 relative error = 0.86819097683929963920710757794055 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.514 y2[1] (analytic) = 1.4916643101914553566777778206244 y2[1] (numeric) = 1.3677221766447827638564103686226 absolute error = 0.1239421335466725928213674520018 relative error = 8.3089829729025694684818872138182 % h = 0.001 y1[1] (analytic) = 1.4916643101914553566777778206244 y1[1] (numeric) = 1.5046646538873964775451320364592 absolute error = 0.0130003436959411208673542158348 relative error = 0.87153279776952796040422459500552 % h = 0.001 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.5MB, time=154.08 NO POLE NO POLE x[1] = 0.515 y2[1] (analytic) = 1.4925348490361086381036410850348 y2[1] (numeric) = 1.3673935948809437472630903517631 absolute error = 0.1251412541551648908405507332717 relative error = 8.3844778723915323513313161554766 % h = 0.001 y1[1] (analytic) = 1.4925348490361086381036410850348 y1[1] (numeric) = 1.5055927165622204441786248563754 absolute error = 0.0130578675261118060749837713406 relative error = 0.87487856880157170378598625500681 % h = 0.001 TOP MAIN SOLVE Loop memory used=1247.4MB, alloc=4.5MB, time=154.57 NO POLE NO POLE x[1] = 0.516 y2[1] (analytic) = 1.4934048953459539279902511025232 y2[1] (numeric) = 1.3670558691401172385470321959456 absolute error = 0.1263490262058366894432189065776 relative error = 8.4604668566167631335130911600946 % h = 0.001 y1[1] (analytic) = 1.4934048953459539279902511025232 y1[1] (numeric) = 1.5065203994523245649787069869587 absolute error = 0.0131155041063706369884558844355 relative error = 0.87822827869680792505927254126514 % h = 0.001 TOP MAIN SOLVE Loop memory used=1251.2MB, alloc=4.5MB, time=155.07 NO POLE NO POLE x[1] = 0.517 y2[1] (analytic) = 1.4942744482509449889961747234587 y2[1] (numeric) = 1.3667089574472198917706619220533 absolute error = 0.1275654908037250972255128014054 relative error = 8.5369518934785428543856317310343 % h = 0.001 y1[1] (analytic) = 1.4942744482509449889961747234587 y1[1] (numeric) = 1.5074477015657417020421776413988 absolute error = 0.0131732533147967130460029179401 relative error = 0.88158191624142845567139076414207 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.518 y2[1] (analytic) = 1.4951435068815289885930906090811 y2[1] (numeric) = 1.3663528177350735309421601205875 absolute error = 0.1287906891464554576509304884936 relative error = 8.6139349536472603972221704276864 % h = 0.001 y1[1] (analytic) = 1.4951435068815289885930906090811 y1[1] (numeric) = 1.5083746219107492222852357632738 absolute error = 0.0132311150292202336921451541927 relative error = 0.88493947024635879536912983809263 % h = 0.001 TOP MAIN SOLVE Loop memory used=1255.0MB, alloc=4.5MB, time=155.55 NO POLE NO POLE x[1] = 0.519 y2[1] (analytic) = 1.4960120703686473686185492970897 y2[1] (numeric) = 1.3659874078444512780567330124012 absolute error = 0.1300246625241960905618162846885 relative error = 8.6914180105615997316279861463753 % h = 0.001 y1[1] (analytic) = 1.4960120703686473686185492970897 y1[1] (numeric) = 1.5093011594958700350028743775726 absolute error = 0.0132890891272226663843250804829 relative error = 0.88830092954717727525656246768231 % h = 0.001 TOP MAIN SOLVE Loop memory used=1258.8MB, alloc=4.5MB, time=156.04 NO POLE NO POLE x[1] = 0.52 y2[1] (analytic) = 1.4968801378437367143344589425478 y2[1] (numeric) = 1.3656126855241237807617362840575 absolute error = 0.1312674523196129335727226584903 relative error = 8.7694030404267606693935149575005 % h = 0.001 y1[1] (analytic) = 1.4968801378437367143344589425478 y1[1] (numeric) = 1.5102273133298736293269908900981 absolute error = 0.0133471754861369149925319475503 relative error = 0.89166628300403449027031272801745 % h = 0.001 TOP MAIN SOLVE Loop memory used=1262.6MB, alloc=4.5MB, time=156.54 NO POLE NO POLE x[1] = 0.521 y2[1] (analytic) = 1.4977477084387296229904276756926 y2[1] (numeric) = 1.3652286084309055396130197970071 absolute error = 0.1325191000078240833774078786855 relative error = 8.8478920222127130149314784019522 % h = 0.001 y1[1] (analytic) = 1.4977477084387296229904276756926 y1[1] (numeric) = 1.5111530824217771115821498196499 absolute error = 0.0134053739830474885917221439573 relative error = 0.89503551950157299999570267798014 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1266.5MB, alloc=4.5MB, time=157.03 x[1] = 0.522 y2[1] (analytic) = 1.4986147812860555718910940133795 y2[1] (numeric) = 1.3648351341297013348897559307988 absolute error = 0.1337796471563542370013380825807 relative error = 8.9268869376524839921330590705513 % h = 0.001 y1[1] (analytic) = 1.4986147812860555718910940133795 y1[1] (numeric) = 1.512078465780846242537934400182 absolute error = 0.0134636844947906706468403868025 relative error = 0.8984086279488472967518649197496 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.523 y2[1] (analytic) = 1.4994813555186417859665772569024 y2[1] (numeric) = 1.3644322200935527529349089997351 absolute error = 0.1350491354250890330316682571673 relative error = 9.0063897712404788301616131747906 % h = 0.001 y1[1] (analytic) = 1.4994813555186417859665772569024 y1[1] (numeric) = 1.5130034624165964745568234439942 absolute error = 0.0135221068979546885902461870918 relative error = 0.90178559727924403987855853529737 % h = 0.001 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.5MB, time=157.51 NO POLE NO POLE x[1] = 0.524 y2[1] (analytic) = 1.5003474302699141048451803058119 y2[1] (numeric) = 1.3640198237036848119883978798684 absolute error = 0.1363276065662292928567824259435 relative error = 9.0864025102308343913824597574048 % h = 0.001 y1[1] (analytic) = 1.5003474302699141048451803058119 y1[1] (numeric) = 1.5139280713387939886365298119507 absolute error = 0.0135806410688798837913495061388 relative error = 0.90516641645040255516205371118469 % h = 0.001 TOP MAIN SOLVE Loop memory used=1274.1MB, alloc=4.5MB, time=158.01 NO POLE NO POLE x[1] = 0.525 y2[1] (analytic) = 1.5012130046737978494274778151016 y2[1] (numeric) = 1.3635979022495526874798986991214 absolute error = 0.1376151024242451619475791159802 relative error = 9.1669271446358057253039461580256 % h = 0.001 y1[1] (analytic) = 1.5012130046737978494274778151016 y1[1] (numeric) = 1.5148522915574567313457367927205 absolute error = 0.0136392868836588819182589776189 relative error = 0.90855107444413559834205572659108 % h = 0.001 TOP MAIN SOLVE Loop memory used=1277.9MB, alloc=4.5MB, time=158.50 NO POLE NO POLE x[1] = 0.526 y2[1] (analytic) = 1.5020780778647186879609231217462 y2[1] (numeric) = 1.3631664129288885367481291777013 absolute error = 0.1389116649358301512127939440449 relative error = 9.247965667224185433078279194806 % h = 0.001 y1[1] (analytic) = 1.5020780778647186879609231217462 y1[1] (numeric) = 1.515776122082855451652168650108 absolute error = 0.0136980442181367636912455283618 relative error = 0.9119395602663503816462219458822 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.527 y2[1] (analytic) = 1.5029426489776035016141078660558 y2[1] (numeric) = 1.3627253128477484231533509589873 absolute error = 0.1402173361298550784607569070685 relative error = 9.3295200735197557277805509788375 % h = 0.001 y1[1] (analytic) = 1.5029426489776035016141078660558 y1[1] (numeric) = 1.5166995619255147376419315556825 absolute error = 0.0137569129479112360278236896267 relative error = 0.91533186294696986230338614414878 % h = 0.001 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.5MB, time=159.00 NO POLE NO POLE x[1] = 0.528 y2[1] (analytic) = 1.5038067171478812495498087336605 y2[1] (numeric) = 1.3622745590205593395497210427994 absolute error = 0.1415321581273219100000876908611 relative error = 9.4115923617997730763509969595997 % h = 0.001 y1[1] (analytic) = 1.5038067171478812495498087336605 y1[1] (numeric) = 1.5176226100962140531290610831286 absolute error = 0.0138158929483328035792523494681 relative error = 0.91872797153985429199114302015818 % h = 0.001 TOP MAIN SOLVE Loop memory used=1285.5MB, alloc=4.5MB, time=159.50 NO POLE NO POLE x[1] = 0.529 y2[1] (analytic) = 1.504670281511483833495956245149 y2[1] (numeric) = 1.3618141083701663310840182235222 absolute error = 0.1428561731413175024119380216268 relative error = 9.494184533093485309748821201936 % h = 0.001 y1[1] (analytic) = 1.504670281511483833495956245149 y1[1] (numeric) = 1.5185452656059887741542124010201 absolute error = 0.0138749840945049406582561558711 relative error = 0.92212787512272302617796223343501 % h = 0.001 TOP MAIN SOLVE Loop memory used=1289.3MB, alloc=4.5MB, time=160.02 NO POLE NO POLE x[1] = 0.53 y2[1] (analytic) = 1.5055333412048469618136610224661 y2[1] (numeric) = 1.3613439177278797172871652450658 absolute error = 0.1441894234769672445264957774003 relative error = 9.5772985911806810885259293988442 % h = 0.001 y1[1] (analytic) = 1.5055333412048469618136610224661 y1[1] (numeric) = 1.5194675274661312253714292620722 absolute error = 0.0139341862612842635577682396061 relative error = 0.92553156279707659232449585669984 % h = 0.001 TOP MAIN SOLVE Loop memory used=1293.2MB, alloc=4.5MB, time=160.51 NO POLE NO POLE x[1] = 0.531 y2[1] (analytic) = 1.5063958953649110130614334641129 y2[1] (numeric) = 1.3608639438335224134248622132041 absolute error = 0.1455319515313885996365712509088 relative error = 9.6609365425902716116856429927595 % h = 0.001 y1[1] (analytic) = 1.5063958953649110130614334641129 y1[1] (numeric) = 1.5203893946881917163219278493498 absolute error = 0.0139934993232807032604943852369 relative error = 0.92893902368811901591321587832243 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.532 y2[1] (analytic) = 1.5072579431291218990547332650042 y2[1] (numeric) = 1.3603741433354773510735416535533 absolute error = 0.1468837997936445479811916114509 relative error = 9.7451003965989044573449471599424 % h = 0.001 y1[1] (analytic) = 1.5072579431291218990547332650042 y1[1] (numeric) = 1.5213108662839795775938315034019 absolute error = 0.0140529231548576785390982383977 relative error = 0.93235024694468040327996943586692 % h = 0.001 TOP MAIN SOLVE Loop memory used=1297.0MB, alloc=4.5MB, time=160.99 NO POLE NO POLE x[1] = 0.533 y2[1] (analytic) = 1.5081194836354319274199857215036 y2[1] (numeric) = 1.3598744727907349978877504704436 absolute error = 0.14824501084469692953223525106 relative error = 9.8297921652296094443690703414663 % h = 0.001 y1[1] (analytic) = 1.5081194836354319274199857215036 y1[1] (numeric) = 1.5222319412655641968667923188566 absolute error = 0.014112457630132269446806597353 relative error = 0.93576522173913978022546892699939 % h = 0.001 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.5MB, time=161.48 NO POLE NO POLE x[1] = 0.534 y2[1] (analytic) = 1.508980516022300663642202267693 y2[1] (numeric) = 1.3593648886649409765249589483062 absolute error = 0.1496156273573596871172433193868 relative error = 9.9150138632504764047942224010799 % h = 0.001 y1[1] (analytic) = 1.508980516022300663642202267693 y1[1] (numeric) = 1.5231526186452760548404355646457 absolute error = 0.0141721026229753911982332969527 relative error = 0.93918393726734818538914214064646 % h = 0.001 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.5MB, time=161.98 NO POLE NO POLE x[1] = 0.535 y2[1] (analytic) = 1.5098410394286957926053431953273 y2[1] (numeric) = 1.3588453473324437826936918430579 absolute error = 0.1509956920962520099116513522694 relative error = 10.000767508173364757498151161194 % h = 0.001 y1[1] (analytic) = 1.5098410394286957926053431953273 y1[1] (numeric) = 1.5240728974357077610455628487339 absolute error = 0.0142318580070119684402196534066 relative error = 0.94260638274855201737215419341276 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1308.4MB, alloc=4.5MB, time=162.47 x[1] = 0.536 y2[1] (analytic) = 1.5107010529940939796245610171836 y2[1] (numeric) = 1.35831580507634260229077153642 absolute error = 0.1523852479177513773337894807636 relative error = 10.087055120252644774218831709128 % h = 0.001 y1[1] (analytic) = 1.5107010529940939796245610171836 y1[1] (numeric) = 1.5249927766497150895370499160057 absolute error = 0.0142917236556211099124888988221 relative error = 0.9460325474253166346007784559854 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.537 y2[1] (analytic) = 1.511560555858481730969463441633 y2[1] (numeric) = 1.3577762180885352275933581712694 absolute error = 0.1537843377699465033761052703636 relative error = 10.173878722483970429659098059476 % h = 0.001 y1[1] (analytic) = 1.511560555858481730969463441633 y1[1] (numeric) = 1.5259122553004180144673749368105 absolute error = 0.0143516994419362834979114951775 relative error = 0.94946242056345020692563792351606 % h = 0.001 TOP MAIN SOLVE Loop memory used=1312.2MB, alloc=4.5MB, time=162.96 NO POLE NO POLE x[1] = 0.538 y2[1] (analytic) = 1.5124195471623562538775354352446 y2[1] (numeric) = 1.3572265424697660724713666510986 absolute error = 0.155193004692590181406168784146 relative error = 10.261240340603083728049380977637 % h = 0.001 y1[1] (analytic) = 1.5124195471623562538775354352446 y1[1] (numeric) = 1.5268313324012017455397131135886 absolute error = 0.014411785238845491662177678344 relative error = 0.95289599145192781795666173418512 % h = 0.001 TOP MAIN SOLVE Loop memory used=1316.1MB, alloc=4.5MB, time=163.46 NO POLE NO POLE x[1] = 0.539 y2[1] (analytic) = 1.5132780260467263160568603600697 y2[1] (numeric) = 1.3566667342296742865857353715612 absolute error = 0.1566112918170520294711249885085 relative error = 10.349142003084650399171947376735 % h = 0.001 y1[1] (analytic) = 1.5132780260467263160568603600697 y1[1] (numeric) = 1.5277500069657177633395334039929 absolute error = 0.0144719809189914472826730439232 relative error = 0.9563332494028158171379038819473 % h = 0.001 TOP MAIN SOLVE Loop memory used=1319.9MB, alloc=4.5MB, time=163.95 NO POLE NO POLE x[1] = 0.54 y2[1] (analytic) = 1.5141359916531131046772806829582 y2[1] (numeric) = 1.3560967492868419685379165570148 absolute error = 0.1580392423662711361393641259434 relative error = 10.437585741141126857478163948617 % h = 0.001 y1[1] (analytic) = 1.5141359916531131046772806829582 y1[1] (numeric) = 1.5286682780078848545436331309855 absolute error = 0.0145322863547717498663524480273 relative error = 0.95977418375119642057065271234329 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.541 y2[1] (analytic) = 1.514993443123551084849139265818 y2[1] (numeric) = 1.355516543468842477935853100051 absolute error = 0.159476899654708606913286165767 relative error = 10.526573588721658318555348723353 % h = 0.001 y1[1] (analytic) = 1.514993443123551084849139265818 y1[1] (numeric) = 1.5295861445418901470055462235251 absolute error = 0.0145927014183390621564069577071 relative error = 0.96321878385509255959752064425705 % h = 0.001 TOP MAIN SOLVE Loop memory used=1323.7MB, alloc=4.5MB, time=164.44 NO POLE NO POLE x[1] = 0.542 y2[1] (analytic) = 1.5158503796005888575887427581458 y2[1] (numeric) = 1.35492607251228884634160184733 absolute error = 0.1609243070883000112471409108158 relative error = 10.616107582511007967821747107514 % h = 0.001 y1[1] (analytic) = 1.5158503796005888575887427581458 y1[1] (numeric) = 1.5305036055821901447162608056719 absolute error = 0.0146532259816012871275180475261 relative error = 0.96666703909539297616444383412587 % h = 0.001 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.5MB, time=164.94 NO POLE NO POLE x[1] = 0.543 y2[1] (analytic) = 1.51670680022729001726968912644 y2[1] (numeric) = 1.3543252920628822870656583407263 absolute error = 0.1623815081644077302040307857137 relative error = 10.706189761928517076947091559008 % h = 0.001 y1[1] (analytic) = 1.51670680022729001726968912644 y1[1] (numeric) = 1.5314206601435117626391818272171 absolute error = 0.0147138599162217453694927007771 relative error = 0.97011893887577756398174129972653 % h = 0.001 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.5MB, time=165.43 NO POLE NO POLE x[1] = 0.544 y2[1] (analytic) = 1.5175627041472340085592018692383 y2[1] (numeric) = 1.3537141576754608037729331089514 absolute error = 0.1638485464717732047862687602869 relative error = 10.796822169127095964112094237184 % h = 0.001 y1[1] (analytic) = 1.5175627041472340085592018692383 y1[1] (numeric) = 1.5323373072408533614182744052998 absolute error = 0.0147746030936193528590725360615 relative error = 0.97357447262264295450958245707607 % h = 0.001 TOP MAIN SOLVE Loop memory used=1335.1MB, alloc=4.5MB, time=165.93 NO POLE NO POLE x[1] = 0.545 y2[1] (analytic) = 1.5184180905045169828386139815162 y2[1] (numeric) = 1.3530926248140478978652247115545 absolute error = 0.1653254656904690849733892699617 relative error = 10.888006848992245694833097439192 % h = 0.001 y1[1] (analytic) = 1.5184180905045169828386139815162 y1[1] (numeric) = 1.5332535458894857819583235239022 absolute error = 0.014835455384968799119709542386 relative error = 0.97703362978502834679739120201083 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.546 y2[1] (analytic) = 1.5192729584437526541071452480364 y2[1] (numeric) = 1.3524606488519013746049298646283 absolute error = 0.1668123095918512795022153834081 relative error = 10.979745849141110420687985008379 % h = 0.001 y1[1] (analytic) = 1.5192729584437526541071452480364 y1[1] (numeric) = 1.5341693751049533798762457166144 absolute error = 0.014896416661200725769100468578 relative error = 0.98049639983454158021087369393499 % h = 0.001 TOP MAIN SOLVE Loop memory used=1338.9MB, alloc=4.5MB, time=166.42 NO POLE NO POLE x[1] = 0.547 y2[1] (analytic) = 1.5201273071100731543681169619403 y2[1] (numeric) = 1.3518181850715622479446261257661 absolute error = 0.1683091220385109064234908361742 relative error = 11.072041219921560253886356684808 % h = 0.001 y1[1] (analytic) = 1.5201273071100731543681169619403 y1[1] (numeric) = 1.5350847939030750598223883376344 absolute error = 0.0149574867930019054542713756941 relative error = 0.98396277226528544908449597960568 % h = 0.001 TOP MAIN SOLVE Loop memory used=1342.8MB, alloc=4.5MB, time=166.90 NO POLE NO POLE x[1] = 0.548 y2[1] (analytic) = 1.5209811356491298884967486824406 y2[1] (numeric) = 1.3511651886649037440270577849433 absolute error = 0.1698159469842261444696908974973 relative error = 11.164895014411304576230903965966 % h = 0.001 y1[1] (analytic) = 1.5209811356491298884967486824406 y1[1] (numeric) = 1.5359998012999453096707520066181 absolute error = 0.0150186656508154211740033241775 relative error = 0.98743273659378425834135663341744 % h = 0.001 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.5MB, time=167.40 NO POLE NO POLE x[1] = 0.549 y2[1] (analytic) = 1.5218344432070943885886821638876 y2[1] (numeric) = 1.3505016147331804033199507981359 absolute error = 0.1713328284739139852687313657517 relative error = 11.258309288417035681617917756833 % h = 0.001 y1[1] (analytic) = 1.5218344432070943885886821638876 y1[1] (numeric) = 1.5369143963119352345770717947131 absolute error = 0.0150799531048408459883896308255 relative error = 0.99090628235891061912649879289559 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1350.4MB, alloc=4.5MB, time=167.88 x[1] = 0.55 y2[1] (analytic) = 1.5226872289306591677883781077573 y2[1] (numeric) = 1.3498274182870772813499778117531 absolute error = 0.1728598106435818864384002960042 relative error = 11.352286100473602651822922111208 % h = 0.001 y1[1] (analytic) = 1.5226872289306591677883781077573 y1[1] (numeric) = 1.5378285779556935909036927019087 absolute error = 0.0151413490250344231153145941514 relative error = 0.99438339912181248350378543736445 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.551 y2[1] (analytic) = 1.5235394919670385735965319092362 y2[1] (numeric) = 1.349142554246759248000089558456 absolute error = 0.1743969377202793255964423507802 relative error = 11.446827511843215365912581796345 % h = 0.001 y1[1] (analytic) = 1.5235394919670385735965319092362 y1[1] (numeric) = 1.5387423452481478200101749597008 absolute error = 0.0152028532811092464136430504646 relative error = 0.99786407646584041727052159713568 % h = 0.001 TOP MAIN SOLVE Loop memory used=1354.2MB, alloc=4.5MB, time=168.38 NO POLE NO POLE x[1] = 0.552 y2[1] (analytic) = 1.5243912314639696406556550910571 y2[1] (numeric) = 1.3484469774419203853343241587729 absolute error = 0.1759442540220492553213309322842 relative error = 11.541935586514678544216291245244 % h = 0.001 y1[1] (analytic) = 1.5243912314639696406556550910571 y1[1] (numeric) = 1.5396556972065050819085646780167 absolute error = 0.0152644657425354412529095869596 relative error = 1.0013483039964751099480474933877 % h = 0.001 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.5MB, time=168.86 NO POLE NO POLE x[1] = 0.553 y2[1] (analytic) = 1.525242446569712943012969639076 y2[1] (numeric) = 1.3477406426118334839141011382072 absolute error = 0.1775018039578794590988685008688 relative error = 11.637612391202655728380235590446 % h = 0.001 y1[1] (analytic) = 1.525242446569712943012969639076 y1[1] (numeric) = 1.5405686328482532887822653413603 absolute error = 0.0153261862785403457692957022843 relative error = 1.0048360713412551210105474962303 % h = 0.001 TOP MAIN SOLVE Loop memory used=1361.8MB, alloc=4.5MB, time=169.37 NO POLE NO POLE x[1] = 0.554 y2[1] (analytic) = 1.5260931364330534458597629767672 y2[1] (numeric) = 1.347023504405399637569902266382 absolute error = 0.1790696320276538082898607103852 relative error = 11.733859995346963099613237693886 % h = 0.001 y1[1] (analytic) = 1.5260931364330534458597629767672 y1[1] (numeric) = 1.5414811511911621383674456462329 absolute error = 0.0153880147581086925076826694657 relative error = 1.0083273681497048614183213527037 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.555 y2[1] (analytic) = 1.5269433002033013567463518393519 y2[1] (numeric) = 1.346295517381197936592136643279 absolute error = 0.1806477828221034201542151960729 relative error = 11.830680471111893037817385095161 % h = 0.001 y1[1] (analytic) = 1.5269433002033013567463518393519 y1[1] (numeric) = 1.5423932512532841471959191600503 absolute error = 0.0154499510499827904495673206984 relative error = 1.0118221840932628095257464779498 % h = 0.001 TOP MAIN SOLVE Loop memory used=1365.6MB, alloc=4.5MB, time=169.86 NO POLE NO POLE x[1] = 0.556 y2[1] (analytic) = 1.5277929370302929762718038326678 y2[1] (numeric) = 1.3455566360075352593048827979216 absolute error = 0.1822363010227577169669210347462 relative error = 11.928075893385567324877284192293 % h = 0.001 y1[1] (analytic) = 1.5277929370302929762718038326678 y1[1] (numeric) = 1.5433049320529556836984312710203 absolute error = 0.0155119950226627074266274383525 relative error = 1.0153205088652099604381233220662 % h = 0.001 TOP MAIN SOLVE Loop memory used=1369.5MB, alloc=4.5MB, time=170.37 NO POLE NO POLE x[1] = 0.557 y2[1] (analytic) = 1.5286420460643915482475659871291 y2[1] (numeric) = 1.3448068146624961619860959270284 absolute error = 0.1838352314018953862614700601007 relative error = 12.026048339779319895959832243867 % h = 0.001 y1[1] (analytic) = 1.5286420460643915482475659871291 y1[1] (numeric) = 1.5442161926087980011672888887604 absolute error = 0.0155741465444064529197229016313 relative error = 1.0188223321805985078955400218428 % h = 0.001 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.5MB, time=170.87 NO POLE NO POLE x[1] = 0.558 y2[1] (analytic) = 1.5294906264564881093341501432183 y2[1] (numeric) = 1.3440460076339928670977637853373 absolute error = 0.185444618822495242236386357881 relative error = 12.124599890627109043251647340852 % h = 0.001 y1[1] (analytic) = 1.5294906264564881093341501432183 y1[1] (numeric) = 1.5451270319397182705772683468288 absolute error = 0.0156364054832301612431182036105 relative error = 1.0223276437761807577658178201293 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1377.1MB, alloc=4.5MB, time=171.36 x[1] = 0.559 y2[1] (analytic) = 1.530338677358002338150025531897 y2[1] (numeric) = 1.3432741691198153497893901455747 absolute error = 0.1870645082381869883606353863223 relative error = 12.223732628984958977133768646267 % h = 0.001 y1[1] (analytic) = 1.530338677358002338150025531897 y1[1] (numeric) = 1.5460374490649106132637369508087 absolute error = 0.0156987717069082751137114189117 relative error = 1.0258364334103382722325051840653 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.56 y2[1] (analytic) = 1.531186197920883403851869441112 y2[1] (numeric) = 1.3424912532276815226380801745344 absolute error = 0.1886949446932018812137892665776 relative error = 12.323448640630430650362950149447 % h = 0.001 y1[1] (analytic) = 1.531186197920883403851869441112 y1[1] (numeric) = 1.5469474430038571334569236091295 absolute error = 0.0157612450829737296050541680175 relative error = 1.0293486908630112437677762757203 % h = 0.001 TOP MAIN SOLVE Loop memory used=1380.9MB, alloc=4.5MB, time=171.85 NO POLE NO POLE x[1] = 0.561 y2[1] (analytic) = 1.5320331872976108141853273882178 y2[1] (numeric) = 1.3416972139752875185883975225405 absolute error = 0.1903359733223232955969298656773 relative error = 12.423750014062121751395837043805 % h = 0.001 y1[1] (analytic) = 1.5320331872976108141853273882178 y1[1] (numeric) = 1.5478570127763289506712739784268 absolute error = 0.015823825478718136485946590209 relative error = 1.0328644059356280979839585213388 % h = 0.001 TOP MAIN SOLVE Loop memory used=1384.7MB, alloc=4.5MB, time=172.34 NO POLE NO POLE x[1] = 0.562 y2[1] (analytic) = 1.5328796446411952630054347476258 y2[1] (numeric) = 1.3408920052903580720550583968095 absolute error = 0.1919876393508371909503763508163 relative error = 12.524638840499195773556550630999 % h = 0.001 y1[1] (analytic) = 1.5328796446411952630054347476258 y1[1] (numeric) = 1.5487661574023872319488255509377 absolute error = 0.0158865127611919689433908033119 relative error = 1.0363835684510353244612645861202 % h = 0.001 TOP MAIN SOLVE Loop memory used=1388.5MB, alloc=4.5MB, time=172.83 NO POLE NO POLE x[1] = 0.563 y2[1] (analytic) = 1.5337255691051794772658523133289 y2[1] (numeric) = 1.3400755810106969981514233850067 absolute error = 0.1936499880944824791144289283222 relative error = 12.626117213880940067309731305653 % h = 0.001 y1[1] (analytic) = 1.5337255691051794772658523133289 y1[1] (numeric) = 1.5496748759023842239555381081985 absolute error = 0.0159493067972047466896857948696 relative error = 1.0399061682534275346531361862773 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.564 y2[1] (analytic) = 1.5345709598436390634760688071373 y2[1] (numeric) = 1.3392478948842377700066433137208 absolute error = 0.1953230649594012934694254934165 relative error = 12.728187230866352783459915514513 % h = 0.001 y1[1] (analytic) = 1.5345709598436390634760688071373 y1[1] (numeric) = 1.550583167296964284929514963159 absolute error = 0.0160122074533252214534461560217 relative error = 1.0434321952082777459744209548872 % h = 0.001 TOP MAIN SOLVE Loop memory used=1392.3MB, alloc=4.5MB, time=173.31 NO POLE NO POLE x[1] = 0.565 y2[1] (analytic) = 1.5354158160111833536257238754924 y2[1] (numeric) = 1.3384089005690941941342109677663 absolute error = 0.1970069154420891594915129077261 relative error = 12.830850990833758615654267350496 % h = 0.001 y1[1] (analytic) = 1.5354158160111833536257238754924 y1[1] (numeric) = 1.5514910306070649164800504117494 absolute error = 0.016075214595881562854326536257 relative error = 1.046961639202267891181399118204 % h = 0.001 TOP MAIN SOLVE Loop memory used=1396.2MB, alloc=4.5MB, time=173.81 NO POLE NO POLE x[1] = 0.566 y2[1] (analytic) = 1.5362601367629562505752056506075 y2[1] (numeric) = 1.3375585516336111838145660602733 absolute error = 0.1987015851293450667606395903342 relative error = 12.934110595880453251119164282157 % h = 0.001 y1[1] (analytic) = 1.5362601367629562505752056506075 y1[1] (numeric) = 1.5523984648539177952364388149361 absolute error = 0.0161383280909615446612331643286 relative error = 1.0504944901432195521564541291707 % h = 0.001 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.5MB, time=174.31 NO POLE NO POLE x[1] = 0.567 y2[1] (analytic) = 1.5371039212546370729116774854067 y2[1] (numeric) = 1.3366968015564156304542964305522 absolute error = 0.2004071196982214424573810548545 relative error = 13.037968150822376439111964986236 % h = 0.001 y1[1] (analytic) = 1.5371039212546370729116774854067 y1[1] (numeric) = 1.5533054690590498043454807333787 absolute error = 0.016201547804412731433803247972 relative error = 1.0540307379600249172139407394751 % h = 0.001 TOP MAIN SOLVE Loop memory used=1403.8MB, alloc=4.5MB, time=174.80 NO POLE NO POLE x[1] = 0.568 y2[1] (analytic) = 1.5379471686424413992696890063077 y2[1] (numeric) = 1.3358236037264673728843740568298 absolute error = 0.2021235649159740263853149494779 relative error = 13.14242576319381358711748080945 % h = 0.001 y1[1] (analytic) = 1.5379471686424413992696890063077 y1[1] (numeric) = 1.5542120422442840648166215389524 absolute error = 0.0162648736018426655469325326447 relative error = 1.0575703726025779610475453635872 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.569 y2[1] (analytic) = 1.5387898780831219121155271633056 y2[1] (numeric) = 1.3349389114431102645597601042554 absolute error = 0.2038509666400116475557670590502 relative error = 13.247485543247125795364246407307 % h = 0.001 y1[1] (analytic) = 1.5387898780831219121155271633056 y1[1] (numeric) = 1.5551181834317409667136579306305 absolute error = 0.0163283053486190545981307673249 relative error = 1.0611133840417058464431570920355 % h = 0.001 TOP MAIN SOLVE Loop memory used=1407.6MB, alloc=4.5MB, time=175.28 NO POLE NO POLE x[1] = 0.57 y2[1] (analytic) = 1.5396320487339692409944634930788 y2[1] (numeric) = 1.3340426779161233386226088851806 absolute error = 0.2055893708178459023718546078982 relative error = 13.353149603952508240778654876046 % h = 0.001 y1[1] (analytic) = 1.5396320487339692409944634930788 y1[1] (numeric) = 1.5560238916438392001919477865273 absolute error = 0.0163918429098699591974842934485 relative error = 1.0646597622691005468849734380449 % h = 0.001 TOP MAIN SOLVE Loop memory used=1411.4MB, alloc=4.6MB, time=175.78 NO POLE NO POLE x[1] = 0.571 y2[1] (analytic) = 1.540473679752812805240054347939 y2[1] (numeric) = 1.3331348562657720707911962887283 absolute error = 0.2073388234870407344488580592107 relative error = 13.459420060997776822035403401741 % h = 0.001 y1[1] (analytic) = 1.540473679752812805240054347939 y1[1] (numeric) = 1.556929165903296786380058789287 absolute error = 0.016455486150483981140004441348 relative error = 1.0682094972972506891862529449616 % h = 0.001 TOP MAIN SOLVE Loop memory used=1415.2MB, alloc=4.6MB, time=176.30 NO POLE NO POLE x[1] = 0.572 y2[1] (analytic) = 1.5413147702980216561446513813949 y2[1] (numeric) = 1.3322153995228597400365939402008 absolute error = 0.2090993707751619161080574411941 relative error = 13.566299032788182977900502202802 % h = 0.001 y1[1] (analytic) = 1.5413147702980216561446513813949 y1[1] (numeric) = 1.5578340052331321081047912684634 absolute error = 0.0165192349351104519601398870685 relative error = 1.0717625791593736152797972321376 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1419.0MB, alloc=4.6MB, time=176.78 x[1] = 0.573 y2[1] (analytic) = 1.5421553195285053185902801198912 y2[1] (numeric) = 1.3312842606287788870090060780373 absolute error = 0.2108710588997264315812740418539 relative error = 13.673788640446256591598347355237 % h = 0.001 y1[1] (analytic) = 1.5421553195285053185902801198912 y1[1] (numeric) = 1.5587384086566649404585107110759 absolute error = 0.0165830891281596218682305911847 relative error = 1.0753189979093476623068980057921 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.574 y2[1] (analytic) = 1.5429953266037146321390449899122 y2[1] (numeric) = 1.330341392435562870175581886927 absolute error = 0.2126539341681517619634631029852 relative error = 13.781891007811676894467061892268 % h = 0.001 y1[1] (analytic) = 1.5429953266037146321390449899122 y1[1] (numeric) = 1.559642375197517481207725400142 absolute error = 0.0166470485938028490686804102298 relative error = 1.0788787436216446601471200993911 % h = 0.001 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.6MB, time=177.28 NO POLE NO POLE x[1] = 0.575 y2[1] (analytic) = 1.5438347906836425915822197101162 y2[1] (numeric) = 1.3293867477059375196314118004284 absolute error = 0.2144480429777050719508079096878 relative error = 13.890608261441171282696484203267 % h = 0.001 y1[1] (analytic) = 1.5438347906836425915822197101162 y1[1] (numeric) = 1.560545903879615381041844650681 absolute error = 0.0167111131959727894596249405648 relative error = 1.0824418063912626455349098247684 % h = 0.001 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.6MB, time=177.78 NO POLE NO POLE x[1] = 0.576 y2[1] (analytic) = 1.5446737109288251869471824994803 y2[1] (numeric) = 1.3284202791133728885453120851405 absolute error = 0.2162534318154522984018704143398 relative error = 13.999942530608441961470842976427 % h = 0.001 y1[1] (analytic) = 1.5446737109288251869471824994803 y1[1] (numeric) = 1.5614489937271887736610531234562 absolute error = 0.0167752827983635867138706239759 relative error = 1.0860081763336587919126189007357 % h = 0.001 TOP MAIN SOLVE Loop memory used=1430.5MB, alloc=4.6MB, time=178.27 NO POLE NO POLE x[1] = 0.577 y2[1] (analytic) = 1.5455120865003422429613560945909 y2[1] (numeric) = 1.3274419392421351022018978412322 absolute error = 0.2180701472582071407594582533587 relative error = 14.109895947304120331363318404003 % h = 0.001 y1[1] (analytic) = 1.5455120865003422429613560945909 y1[1] (numeric) = 1.5623516437647733057022367085719 absolute error = 0.016839557264431062740880613981 relative error = 1.0895778435846825541731180687935 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.578 y2[1] (analytic) = 1.546349916559818257972313112208 y2[1] (numeric) = 1.3264516805873383046013404010661 absolute error = 0.2198982359724799533709727111419 relative error = 14.220470646235749032352364682189 % h = 0.001 y1[1] (analytic) = 1.546349916559818257972313112208 y1[1] (numeric) = 1.5632538530172111665018954839701 absolute error = 0.0169039364573929085295823717621 relative error = 1.0931507983005090274487412947502 % h = 0.001 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.6MB, time=178.75 NO POLE NO POLE x[1] = 0.579 y2[1] (analytic) = 1.5471872002694232423232078370701 y2[1] (numeric) = 1.3254494555549967025781009788664 absolute error = 0.2217377447144265397451068582037 relative error = 14.331668764827791561349873488564 % h = 0.001 y1[1] (analytic) = 1.5471872002694232423232078370701 y1[1] (numeric) = 1.5641556205096521176949792678787 absolute error = 0.0169684202402288753717714308086 relative error = 1.0967270306575725191068512779042 % h = 0.001 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.6MB, time=179.27 NO POLE NO POLE x[1] = 0.58 y2[1] (analytic) = 1.5480239367918735561826960595765 y2[1] (numeric) = 1.3244352164620767073998283199796 absolute error = 0.2235887203297968487828677395969 relative error = 14.443492443221669379649006522772 % h = 0.001 y1[1] (analytic) = 1.5480239367918735561826960595765 y1[1] (numeric) = 1.5650569452675545226485812993478 absolute error = 0.0170330084756809664658852397713 relative error = 1.1003065308525003331158499343393 % h = 0.001 TOP MAIN SOLVE Loop memory used=1441.9MB, alloc=4.6MB, time=179.76 NO POLE NO POLE x[1] = 0.581 y2[1] (analytic) = 1.548860125290432746828505133497 y2[1] (numeric) = 1.3234089155365491738075040183771 absolute error = 0.2254512097538835730210011151199 relative error = 14.555943824275826427214831681465 % h = 0.001 y1[1] (analytic) = 1.548860125290432746828505133497 y1[1] (numeric) = 1.5659578263166863757294255971736 absolute error = 0.0170977010262536289009204636766 relative error = 1.1038892891020467659489736740247 % h = 0.001 TOP MAIN SOLVE Loop memory used=1445.8MB, alloc=4.6MB, time=180.25 NO POLE NO POLE x[1] = 0.582 y2[1] (analytic) = 1.5496957649289123853838169702094 y2[1] (numeric) = 1.322370504917441736457815115752 absolute error = 0.2273252600114706489260018544574 relative error = 14.66902505356582096125377625421 % h = 0.001 y1[1] (analytic) = 1.5496957649289123853838169702094 y1[1] (numeric) = 1.5668582626831263314040835647531 absolute error = 0.0171624977542139460202665945437 relative error = 1.1074752956430273131967127398645 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.583 y2[1] (analytic) = 1.5505308548716729030056272331506 y2[1] (numeric) = 1.3213199366548912437286295649857 absolute error = 0.2292109182167816592769976681649 relative error = 14.782738279384444637008375837069 % h = 0.001 y1[1] (analytic) = 1.5505308548716729030056272331506 y1[1] (numeric) = 1.5677582533932647331708554267333 absolute error = 0.0172273985215918301652281935827 relative error = 1.1110645407322530860621767064788 % h = 0.001 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.6MB, time=180.74 NO POLE NO POLE x[1] = 0.584 y2[1] (analytic) = 1.5513653942836244265242445441924 y2[1] (numeric) = 1.3202571627101962888483461350026 absolute error = 0.2311082315734281376758984091898 relative error = 14.897085652741868749231863548321 % h = 0.001 y1[1] (analytic) = 1.5513653942836244265242445441924 y1[1] (numeric) = 1.5686577974738046423222521027183 absolute error = 0.0172924031901802157980075585259 relative error = 1.1146570146464654369171945326643 % h = 0.001 TOP MAIN SOLVE Loop memory used=1453.4MB, alloc=4.6MB, time=181.24 NO POLE NO POLE x[1] = 0.585 y2[1] (analytic) = 1.5521993823302276135330940625129 y2[1] (numeric) = 1.319182134955869838309786353209 absolute error = 0.2330172473743577752233077093039 relative error = 15.012069327365817553302824596485 % h = 0.001 y1[1] (analytic) = 1.5521993823302276135330940625129 y1[1] (numeric) = 1.5695568939517628665370131437787 absolute error = 0.0173575116215352530039190812658 relative error = 1.1182527076822707931003874097023 % h = 0.001 TOP MAIN SOLVE Loop memory used=1457.2MB, alloc=4.6MB, time=181.73 NO POLE NO POLE x[1] = 0.586 y2[1] (analytic) = 1.553032818177494486927990346228 y2[1] (numeric) = 1.3180948051756919575291921259328 absolute error = 0.2349380130018025293987982202952 relative error = 15.127691459701768585443450214223 % h = 0.001 y1[1] (analytic) = 1.553032818177494486927990346228 y1[1] (numeric) = 1.570455541854470988300596379065 absolute error = 0.017422723676976501372606032837 relative error = 1.1218516101560756981418861322195 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1461.0MB, alloc=4.6MB, time=182.24 x[1] = 0.587 y2[1] (analytic) = 1.5538657009919892688950449575815 y2[1] (numeric) = 1.3169951250647626337107887466472 absolute error = 0.2368705759272266351842562109343 relative error = 15.243954208913179902005876272702 % h = 0.001 y1[1] (analytic) = 1.5538657009919892688950449575815 y1[1] (numeric) = 1.5713537402095763931530749424655 absolute error = 0.017488039217587124258029984884 relative error = 1.1254537124040220596027819231483 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.588 y2[1] (analytic) = 1.5546980299408292143463748238537 y2[1] (numeric) = 1.3158830462295546958772690963915 absolute error = 0.2388149837112745184691057274622 relative error = 15.360859736881744158289699287464 % h = 0.001 y1[1] (analytic) = 1.5546980299408292143463748238537 y1[1] (numeric) = 1.5722514880450432977633773729664 absolute error = 0.0175534581042140834170025491127 relative error = 1.1290590047819226027208006537208 % h = 0.001 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.6MB, time=182.73 NO POLE NO POLE x[1] = 0.589 y2[1] (analytic) = 1.5555298041916854438027779183523 y2[1] (numeric) = 1.3147585201879668320264509607961 absolute error = 0.2407712840037186117763269575562 relative error = 15.478410208207669447850039699505 % h = 0.001 y1[1] (analytic) = 1.5555298041916854438027779183523 y1[1] (numeric) = 1.5731487843891537778288065071702 absolute error = 0.0176189801974683340260285888179 relative error = 1.1326674776651965290570752956979 % h = 0.001 TOP MAIN SOLVE Loop memory used=1468.6MB, alloc=4.6MB, time=183.23 NO POLE NO POLE x[1] = 0.59 y2[1] (analytic) = 1.5563610229127837757225433788758 y2[1] (numeric) = 1.3136214983693767033742555335907 absolute error = 0.2427395245434070723482878452851 relative error = 15.596607790209986823749482863295 % h = 0.001 y1[1] (analytic) = 1.5563610229127837757225433788758 y1[1] (numeric) = 1.5740456282705087957987729083044 absolute error = 0.0176846053577250200762295294286 relative error = 1.1362791214488053793422603099 % h = 0.001 TOP MAIN SOLVE Loop memory used=1472.5MB, alloc=4.6MB, time=183.72 NO POLE NO POLE x[1] = 0.591 y2[1] (analytic) = 1.5571916852729055582755637349123 y2[1] (numeric) = 1.3124719321146941556440513475306 absolute error = 0.2447197531582114026315123873817 relative error = 15.715454652926884423698885620054 % h = 0.001 y1[1] (analytic) = 1.5571916852729055582755637349123 y1[1] (numeric) = 1.5749420187180292284216786030103 absolute error = 0.017750333445123670146114868098 relative error = 1.1398939265471890997235845935083 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.592 y2[1] (analytic) = 1.5580217904413885005619174695279 y2[1] (numeric) = 1.3113097726764145273623040704256 absolute error = 0.2467120177649739731996133991023 relative error = 15.83495296911606812152140412213 % h = 0.001 y1[1] (analytic) = 1.5580217904413885005619174695279 y1[1] (numeric) = 1.5758379547609568941138869252387 absolute error = 0.0178161643195683935519694557108 relative error = 1.1435118833942023106177766619092 % h = 0.001 TOP MAIN SOLVE Loop memory used=1476.3MB, alloc=4.6MB, time=184.20 NO POLE NO POLE x[1] = 0.593 y2[1] (analytic) = 1.5588513375881275032740906974331 y2[1] (numeric) = 1.3101349712186720551203688265067 absolute error = 0.2487163663694554481537218709264 relative error = 15.955104914255148627861190070414 % h = 0.001 y1[1] (analytic) = 1.5588513375881275032740906974331 y1[1] (numeric) = 1.5767334354288555801497142956964 absolute error = 0.0178820978407280768756235982633 relative error = 1.1471329824430507773781170088075 % h = 0.001 TOP MAIN SOLVE Loop memory used=1480.1MB, alloc=4.6MB, time=184.69 NO POLE NO POLE x[1] = 0.594 y2[1] (analytic) = 1.559680325883575488802007297074 y2[1] (numeric) = 1.3089474788172933757621579518287 absolute error = 0.2507328470662821130398493452453 relative error = 16.075912666542054963543031019452 % h = 0.001 y1[1] (analytic) = 1.559680325883575488802007297074 y1[1] (numeric) = 1.5776284597516120696713797954859 absolute error = 0.0179481338680365808693724984119 relative error = 1.1507572141662280819871781530661 % h = 0.001 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.6MB, time=185.19 NO POLE NO POLE x[1] = 0.595 y2[1] (analytic) = 1.5605087544987442307800373917875 y2[1] (numeric) = 1.3077472464598511254573133668871 absolute error = 0.2527615080388931053227240249004 relative error = 16.197378406895474229471789107738 % h = 0.001 y1[1] (analytic) = 1.5605087544987442307800373917875 y1[1] (numeric) = 1.5785230267594371685178484238574 absolute error = 0.0180142722606929377378110320699 relative error = 1.154384569055452494990102821755 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1487.7MB, alloc=4.6MB, time=185.68 x[1] = 0.596 y2[1] (analytic) = 1.5613366226052051830751546330814 y2[1] (numeric) = 1.3065342250457176356194090502371 absolute error = 0.2548023975594875474557455828443 relative error = 16.319504318955317597440834619638 % h = 0.001 y1[1] (analytic) = 1.5613366226052051830751546330814 y1[1] (numeric) = 1.5794171354828667318715039623517 absolute error = 0.0180805128776615487963493292703 relative error = 1.1580150376216040468865451167425 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.597 y2[1] (analytic) = 1.5621639293750903082154132979511 y2[1] (numeric) = 1.3053083653861187256286054237471 absolute error = 0.256855563988971582586807874204 relative error = 16.442292589083212446696789241795 % h = 0.001 y1[1] (analytic) = 1.5621639293750903082154132979511 y1[1] (numeric) = 1.5803107849527626907215874010518 absolute error = 0.0181468555776723825061741031007 relative error = 1.1616486103946617982026584460976 % h = 0.001 TOP MAIN SOLVE Loop memory used=1491.5MB, alloc=4.6MB, time=186.16 NO POLE NO POLE x[1] = 0.598 y2[1] (analytic) = 1.5629906739810929052579167718239 y2[1] (numeric) = 1.3040696182041875923180738133094 absolute error = 0.2589210557769053129398429585145 relative error = 16.565745406363020571583801726393 % h = 0.001 y1[1] (analytic) = 1.5629906739810929052579167718239 y1[1] (numeric) = 1.5812039742003140781433369171813 absolute error = 0.0182133002192211728854201453574 relative error = 1.1652852779236413074677575507723 % h = 0.001 TOP MAIN SOLVE Loop memory used=1495.3MB, alloc=4.6MB, time=186.66 NO POLE NO POLE x[1] = 0.599 y2[1] (analytic) = 1.5638168555964684370954495492333 y2[1] (numeric) = 1.3028179341350187961834055284745 absolute error = 0.2609989214614496409120440207588 relative error = 16.68986496260138238606428882785 % h = 0.001 y1[1] (analytic) = 1.5638168555964684370954495492333 y1[1] (numeric) = 1.5820967022570380553917654318872 absolute error = 0.0182798466605696182963158826539 relative error = 1.1689250307765322963235101996946 % h = 0.001 TOP MAIN SOLVE Loop memory used=1499.2MB, alloc=4.6MB, time=187.16 NO POLE NO POLE x[1] = 0.6 y2[1] (analytic) = 1.5646424733950353572009454456587 y2[1] (numeric) = 1.3015532637257223442741165106806 absolute error = 0.2630892096693130129268289349781 relative error = 16.814653452328287051384599675055 % h = 0.001 y1[1] (analytic) = 1.5646424733950353572009454456587 y1[1] (numeric) = 1.5829889681547809378090118077292 absolute error = 0.0183464947597455806080663620705 relative error = 1.1725678595402365109967271417434 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.601 y2[1] (analytic) = 1.5654675265511759358089652761314 y2[1] (numeric) = 1.300275557435477869726254932625 absolute error = 0.2651919691156980660827103435064 relative error = 16.940113072797668453623414942215 % h = 0.001 y1[1] (analytic) = 1.5654675265511759358089652761314 y1[1] (numeric) = 1.5838807709257192205442017871582 absolute error = 0.0184132443745432847352365110268 relative error = 1.1762137548205057793700167675052 % h = 0.001 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.6MB, time=187.64 NO POLE NO POLE x[1] = 0.602 y2[1] (analytic) = 1.5662920142398370855333578191989 y2[1] (numeric) = 1.2989847656355889078950155909808 absolute error = 0.2673072486042481776383422282181 relative error = 17.066246023988026958327885977434 % h = 0.001 y1[1] (analytic) = 1.5662920142398370855333578191989 y1[1] (numeric) = 1.5847721096023606040847548111131 absolute error = 0.0184800953625235185513969919142 relative error = 1.1798627072418802628877537255715 % h = 0.001 TOP MAIN SOLVE Loop memory used=1506.8MB, alloc=4.6MB, time=188.16 NO POLE NO POLE x[1] = 0.603 y2[1] (analytic) = 1.5671159356365311864202784486542 y2[1] (numeric) = 1.2976808386095372690461614212025 absolute error = 0.2694350970269939173741170274517 relative error = 17.193054508603076869907566057272 % h = 0.001 y1[1] (analytic) = 1.5671159356365311864202784486542 y1[1] (numeric) = 1.5856629832175450195980728967887 absolute error = 0.0185470475810138331777944481345 relative error = 1.1835147074476269025379785338514 % h = 0.001 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.6MB, time=188.66 NO POLE NO POLE x[1] = 0.604 y2[1] (analytic) = 1.5679392899173369104357403800814 y2[1] (numeric) = 1.2963637265530375075649489767051 absolute error = 0.2715755633642994028707914033763 relative error = 17.32054073207241952391909870276 % h = 0.001 y1[1] (analytic) = 1.5679392899173369104357403800814 y1[1] (numeric) = 1.5865533908044456540825477946376 absolute error = 0.0186141008871087436468074145562 relative error = 1.1871697460996780581539981025194 % h = 0.001 TOP MAIN SOLVE Loop memory used=1514.4MB, alloc=4.6MB, time=189.18 NO POLE NO POLE x[1] = 0.605 y2[1] (analytic) = 1.5687620762589000453868740447335 y2[1] (numeric) = 1.2950333795740914876411512553412 absolute error = 0.2737286966848085577457227893923 relative error = 17.44870690255224194083541899131 % h = 0.001 y1[1] (analytic) = 1.5687620762589000453868740447335 y1[1] (numeric) = 1.5874433313965699753268226867543 absolute error = 0.0186812551376699299399486420208 relative error = 1.1908278138785703402825951176989 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.606 y2[1] (analytic) = 1.569584293838434318276070669554 y2[1] (numeric) = 1.2936897476930430453886678239587 absolute error = 0.2758945461453912728874028455953 relative error = 17.577555230926040970351905431809 % h = 0.001 y1[1] (analytic) = 1.569584293838434318276070669554 y1[1] (numeric) = 1.5883328040277607566762447319635 absolute error = 0.0187485101893264384001740624095 relative error = 1.1944889014833836338688774994943 % h = 0.001 TOP MAIN SOLVE Loop memory used=1518.2MB, alloc=4.6MB, time=189.66 NO POLE NO POLE x[1] = 0.607 y2[1] (analytic) = 1.5704059418337222180871867092646 y2[1] (numeric) = 1.2923327808426327473581087869985 absolute error = 0.2780731609910894707290779222661 relative error = 17.707087930805372855738504567757 % h = 0.001 y1[1] (analytic) = 1.5704059418337222180871867092646 y1[1] (numeric) = 1.5892218077321971016054448071845 absolute error = 0.0188158658984748835182580979199 relative error = 1.1981529996316803130109077198952 % h = 0.001 TOP MAIN SOLVE Loop memory used=1522.0MB, alloc=4.6MB, time=190.16 NO POLE NO POLE x[1] = 0.608 y2[1] (analytic) = 1.5712270194231158180029863443854 y2[1] (numeric) = 1.2909624288680527454006357676979 absolute error = 0.2802645905550630726023505766875 relative error = 17.837307218530628148201350297367 % h = 0.001 y1[1] (analytic) = 1.5712270194231158180029863443854 y1[1] (numeric) = 1.5901103415443954680959808399793 absolute error = 0.0188833221212796500929944955939 relative error = 1.2018200990594446460403457195448 % h = 0.001 TOP MAIN SOLVE Loop memory used=1525.9MB, alloc=4.6MB, time=190.65 NO POLE NO POLE x[1] = 0.609 y2[1] (analytic) = 1.5720475257855375970529998278124 y2[1] (numeric) = 1.2895786415270017278412397206108 absolute error = 0.2824688842585358692117601072016 relative error = 17.968215313171831901669827139825 % h = 0.001 y1[1] (analytic) = 1.5720475257855375970529998278124 y1[1] (numeric) = 1.5909984044992106928179811736084 absolute error = 0.018950878713673095764981345796 relative error = 1.205490190521022390188418572588 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1529.7MB, alloc=4.6MB, time=191.14 x[1] = 0.61 y2[1] (analytic) = 1.5728674601004812611909760321627 y2[1] (numeric) = 1.2881813684897399669195320719495 absolute error = 0.2846860916107412942714439602132 relative error = 18.099814436529469078875393455368 % h = 0.001 y1[1] (analytic) = 1.5728674601004812611909760321627 y1[1] (numeric) = 1.5918859956318370151147244534146 absolute error = 0.0190185355313557539237484212519 relative error = 1.2091632647890605750995949887935 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.611 y2[1] (analytic) = 1.5736868215480125638011081205036 y2[1] (numeric) = 1.2867705593391444624560223897973 absolute error = 0.2869162622088681013450857307063 relative error = 18.232106813135335100036798995792 % h = 0.001 y1[1] (analytic) = 1.5736868215480125638011081205036 y1[1] (numeric) = 1.5927731139778091007890925719391 absolute error = 0.0190862924297965369879844514355 relative error = 1.2128393126544474744583932863029 % h = 0.001 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.6MB, time=191.63 NO POLE NO POLE x[1] = 0.612 y2[1] (analytic) = 1.5745056093087701256322118343075 y2[1] (numeric) = 1.2853461635707641817017525196545 absolute error = 0.289159445738005943930459314653 relative error = 18.365094670253411465912613104309 % h = 0.001 y1[1] (analytic) = 1.5745056093087701256322118343075 y1[1] (numeric) = 1.5936597585730030656908332598345 absolute error = 0.019154149264232940058621425527 relative error = 1.2165183249262527649977876890496 % h = 0.001 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.6MB, time=192.12 NO POLE NO POLE x[1] = 0.613 y2[1] (analytic) = 1.5753238225639662541590364645238 y2[1] (numeric) = 1.2839081305928753953290538821606 absolute error = 0.2914156919710908588299825823632 relative error = 18.498780237880766387426237315618 % h = 0.001 y1[1] (analytic) = 1.5753238225639662541590364645238 y1[1] (numeric) = 1.5945459284536374991035689603858 absolute error = 0.019222105889671244944532495862 relative error = 1.2202002924316678721606997731582 % h = 0.001 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.6MB, time=192.61 NO POLE NO POLE x[1] = 0.614 y2[1] (analytic) = 1.576141460495387762369889144524 y2[1] (numeric) = 1.2824564097265371095210914193 absolute error = 0.293685050768850652848797725224 relative error = 18.63316574874848035451082087524 % h = 0.001 y1[1] (analytic) = 1.576141460495387762369889144524 y1[1] (numeric) = 1.5954316226562744869304886772786 absolute error = 0.0192901621608867245605995327546 relative error = 1.2238852060159465016890696789536 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.615 y2[1] (analytic) = 1.5769585222853967869797536773647 y2[1] (numeric) = 1.2809909502056465941177544930487 absolute error = 0.295967572079750192861999184316 relative error = 18.768253438322596577261741582678 % h = 0.001 y1[1] (analytic) = 1.5769585222853967869797536773647 y1[1] (numeric) = 1.5963168402178206346776595381644 absolute error = 0.0193583179324238476979058607997 relative error = 1.2275730565423453564179953909816 % h = 0.001 TOP MAIN SOLVE Loop memory used=1544.9MB, alloc=4.6MB, time=193.11 NO POLE NO POLE x[1] = 0.616 y2[1] (analytic) = 1.5777750071169316060680856843173 y2[1] (numeric) = 1.279511701176995006775351886368 absolute error = 0.2982633059399365992927337979493 relative error = 18.90404554480509623292256907841 % h = 0.001 y1[1] (analytic) = 1.5777750071169316060680856843173 y1[1] (numeric) = 1.5972015801755280902338948705654 absolute error = 0.0194265730585964841658091862481 relative error = 1.2312638348920650375554080395814 % h = 0.001 TOP MAIN SOLVE Loop memory used=1548.8MB, alloc=4.6MB, time=193.60 NO POLE NO POLE x[1] = 0.617 y2[1] (analytic) = 1.5785909141735074561404664369381 y2[1] (numeric) = 1.2780186117003231130974649308054 absolute error = 0.3005723024731843430430015061327 relative error = 19.040544309134898452666704887333 % h = 0.001 y1[1] (analytic) = 1.5785909141735074561404664369381 y1[1] (numeric) = 1.5980858415669955664461156417392 absolute error = 0.0194949273934881103056492048011 relative error = 1.2349575319641911297307168650077 % h = 0.001 TOP MAIN SOLVE Loop memory used=1552.6MB, alloc=4.6MB, time=194.12 NO POLE NO POLE x[1] = 0.618 y2[1] (analytic) = 1.579406242639217348613298311092 y2[1] (numeric) = 1.2765116307483771026942096878291 absolute error = 0.3028946118908402459190886232629 relative error = 19.177751974988884982571204781557 % h = 0.001 y1[1] (analytic) = 1.579406242639217348613298311092 y1[1] (numeric) = 1.5989696234301693634891421702813 absolute error = 0.0195633807909520148758438591893 relative error = 1.2386541386756354690988092795451 % h = 0.001 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.6MB, time=194.61 NO POLE NO POLE x[1] = 0.619 y2[1] (analytic) = 1.5802209916987328857207253783037 y2[1] (numeric) = 1.2749907072069645011270560425117 absolute error = 0.305230284491768384593669335792 relative error = 19.315670788782949453611645848738 % h = 0.001 y1[1] (analytic) = 1.5802209916987328857207253783037 y1[1] (numeric) = 1.5998529248033443910288530744861 absolute error = 0.0196319331046115053081276961824 relative error = 1.2423536459610775937887294347116 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.62 y2[1] (analytic) = 1.5810351605373050758429632275822 y2[1] (numeric) = 1.2734557898750101776962485283987 absolute error = 0.3075793706622948981467146991835 relative error = 19.454302999673071195937314497781 % h = 0.001 y1[1] (analytic) = 1.5810351605373050758429632275822 y1[1] (numeric) = 1.6007357447251651901776484808133 absolute error = 0.0197005841878601143346852532311 relative error = 1.2460560447729063759892829198947 % h = 0.001 TOP MAIN SOLVE Loop memory used=1560.2MB, alloc=4.6MB, time=195.10 NO POLE NO POLE x[1] = 0.621 y2[1] (analytic) = 1.581848748340765148255222689459 y2[1] (numeric) = 1.2719068274646124490277706914534 absolute error = 0.3099419208761526992274519980056 relative error = 19.593650859556413533114473887678 % h = 0.001 y1[1] (analytic) = 1.581848748340765148255222689459 y1[1] (numeric) = 1.6016180822346269552411545752142 absolute error = 0.0197693338938618069859318857552 relative error = 1.2497613260811618349667257542321 % h = 0.001 TOP MAIN SOLVE Loop memory used=1564.0MB, alloc=4.6MB, time=195.59 NO POLE NO POLE x[1] = 0.622 y2[1] (analytic) = 1.5826617542955253672964127133811 y2[1] (numeric) = 1.2703437686010992784166918189756 absolute error = 0.3123179856944260888797208944055 relative error = 19.733716623072446492452031246812 % h = 0.001 y1[1] (analytic) = 1.5826617542955253672964127133811 y1[1] (numeric) = 1.6024999363710765552551066405647 absolute error = 0.0198381820755511879586939271836 relative error = 1.2534694808734771303125927556168 % h = 0.001 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.6MB, time=196.09 NO POLE NO POLE x[1] = 0.623 y2[1] (analytic) = 1.583474177588579845956808229827 y2[1] (numeric) = 1.2687665618230845708836319064499 absolute error = 0.3147076157654952750731763233771 relative error = 19.874502547604093867948578517477 % h = 0.001 y1[1] (analytic) = 1.583474177588579845956808229827 y1[1] (numeric) = 1.6033813061742135553113477850275 absolute error = 0.0199071285856337093545395552005 relative error = 1.2571805001550207347226037467037 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1571.6MB, alloc=4.6MB, time=196.57 x[1] = 0.624 y2[1] (analytic) = 1.584286017407505358883869409543 y2[1] (numeric) = 1.2671751555825245639009778115019 absolute error = 0.3171108618249807949828915980411 relative error = 20.016010893278904572822534905113 % h = 0.001 y1[1] (analytic) = 1.584286017407505358883869409543 y1[1] (numeric) = 1.6042621906840912376718806288242 absolute error = 0.0199761732765858787880112192812 relative error = 1.2608943749484387856104559575665 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.625 y2[1] (analytic) = 1.5850972729404621548053993141501 y2[1] (numeric) = 1.2655694982447743137453806496346 absolute error = 0.3195277746956878410600186645155 relative error = 20.158243922970248219007988364992 % h = 0.001 y1[1] (analytic) = 1.5850972729404621548053993141501 y1[1] (numeric) = 1.6051425889411176226699092806412 absolute error = 0.0200453160006554678645099664911 relative error = 1.2646110962937976148631674749195 % h = 0.001 TOP MAIN SOLVE Loop memory used=1575.5MB, alloc=4.6MB, time=197.07 NO POLE NO POLE x[1] = 0.626 y2[1] (analytic) = 1.5859079433761947683692275150305 y2[1] (numeric) = 1.2639495380886442774329616212903 absolute error = 0.3219584052875504909362658937402 relative error = 20.301203902298534861417825887083 % h = 0.001 y1[1] (analytic) = 1.5859079433761947683692275150305 y1[1] (numeric) = 1.6060224999860564893968089997193 absolute error = 0.0201145566098617210275814846888 relative error = 1.2683306552485264560474797371835 % h = 0.001 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.6MB, time=197.56 NO POLE NO POLE x[1] = 0.627 y2[1] (analytic) = 1.5867180279040328313986078408783 y2[1] (numeric) = 1.2623152233064569901935506241452 absolute error = 0.3244028045975758412050572167331 relative error = 20.444893099632458845192870647689 % h = 0.001 y1[1] (analytic) = 1.5867180279040328313986078408783 y1[1] (numeric) = 1.6069019228600283961739610055864 absolute error = 0.0201838949559955647753531647081 relative error = 1.2720530428873603283796569496717 % h = 0.001 TOP MAIN SOLVE Loop memory used=1583.1MB, alloc=4.6MB, time=198.06 NO POLE NO POLE x[1] = 0.628 y2[1] (analytic) = 1.5875275257138918835625189985835 y2[1] (numeric) = 1.2606665020041038384401791985001 absolute error = 0.3268610237097880451223398000834 relative error = 20.589313786090266694571018626784 % h = 0.001 y1[1] (analytic) = 1.5875275257138918835625189985835 y1[1] (numeric) = 1.6077808566045117008083899643873 absolute error = 0.0202533308906198172458709658038 relative error = 1.2757782503022830967738369622602 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.629 y2[1] (analytic) = 1.5883364359962741824600573972178 y2[1] (numeric) = 1.2590033222011019281899465772925 absolute error = 0.3293331137951722542701108199253 relative error = 20.734468235541048982423799024043 % h = 0.001 y1[1] (analytic) = 1.5883364359962741824600573972178 y1[1] (numeric) = 1.6086593002613435806311417488414 absolute error = 0.0203228642650693981710843516236 relative error = 1.2795062686024707072868916789796 % h = 0.001 TOP MAIN SOLVE Loop memory used=1586.9MB, alloc=4.6MB, time=198.54 NO POLE NO POLE x[1] = 0.63 y2[1] (analytic) = 1.5891447579422695131181120907946 y2[1] (numeric) = 1.2573256318306510488922748657287 absolute error = 0.3318191261116184642258372250659 relative error = 20.880358724606056119919382563912 % h = 0.001 y1[1] (analytic) = 1.5891447579422695131181120907946 y1[1] (numeric) = 1.6095372528727210523173391380223 absolute error = 0.0203924949304515391992270472277 relative error = 1.2832370889142345972805455220502 % h = 0.001 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.6MB, time=199.06 NO POLE NO POLE x[1] = 0.631 y2[1] (analytic) = 1.5899524907435559969015123421982 y2[1] (numeric) = 1.2556333787396907326204666589284 absolute error = 0.3343191120038652642810456832698 relative error = 21.026987532660038006180840320553 % h = 0.001 y1[1] (analytic) = 1.5899524907435559969015123421982 y1[1] (numeric) = 1.6104147134812019914868531933976 absolute error = 0.0204622227376459945853408511994 relative error = 1.2869707023809652796242779164827 % h = 0.001 TOP MAIN SOLVE Loop memory used=1594.5MB, alloc=4.6MB, time=199.56 NO POLE NO POLE x[1] = 0.632 y2[1] (analytic) = 1.5907596335924008998348388981996 y2[1] (numeric) = 1.2539265106889574085823757193967 absolute error = 0.3368331229034434912524631788029 relative error = 21.174356941832607478216423714893 % h = 0.001 y1[1] (analytic) = 1.5907596335924008998348388981996 y1[1] (numeric) = 1.6112916811297061520845281188986 absolute error = 0.020532047537305252249689220699 relative error = 1.2907071001630761002653002624306 % h = 0.001 TOP MAIN SOLVE Loop memory used=1598.3MB, alloc=4.6MB, time=200.07 NO POLE NO POLE x[1] = 0.633 y2[1] (analytic) = 1.5915661856816614403350906538176 y2[1] (numeric) = 1.2522049753530416529058986796974 absolute error = 0.3393612103286197874291919741202 relative error = 21.322469237009627501804804477949 % h = 0.001 y1[1] (analytic) = 1.5915661856816614403350906538176 y1[1] (numeric) = 1.6121681548615161855388974852035 absolute error = 0.0206019691798547452038068313859 relative error = 1.2944462734379471684946494845088 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.634 y2[1] (analytic) = 1.592372146204785596354398973423 y2[1] (numeric) = 1.2504687203204455336548931095058 absolute error = 0.3419034258843400626995058639172 relative error = 21.471326705834622044422592215036 % h = 0.001 y1[1] (analytic) = 1.592372146204785596354398973423 y1[1] (numeric) = 1.6130441337202786596983297719167 absolute error = 0.0206719875154930633439307984937 relative error = 1.2981882133998694592411790564555 % h = 0.001 TOP MAIN SOLVE Loop memory used=1602.2MB, alloc=4.6MB, time=200.56 NO POLE NO POLE x[1] = 0.635 y2[1] (analytic) = 1.5931775143558129119319825259412 y2[1] (numeric) = 1.2487176930936400510310246903741 absolute error = 0.3444598212621728609009578355671 relative error = 21.620931638710210571704047265333 % h = 0.001 y1[1] (analytic) = 1.5931775143558129119319825259412 y1[1] (numeric) = 1.6139196167500050775435412559098 absolute error = 0.0207421023941921656115587299686 relative error = 1.3019329112599890867279544587152 % h = 0.001 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.6MB, time=201.06 NO POLE NO POLE x[1] = 0.636 y2[1] (analytic) = 1.5939822893293753031545360822647 y2[1] (numeric) = 1.246951841089122672716943676162 absolute error = 0.3470304482402526304375924061027 relative error = 21.77128632879956610932373829006 % h = 0.001 y1[1] (analytic) = 1.5939822893293753031545360822647 y1[1] (numeric) = 1.6147946029950728956754143497573 absolute error = 0.0208123136656975925208782674926 relative error = 1.3056803582462517488282734009864 % h = 0.001 TOP MAIN SOLVE Loop memory used=1609.8MB, alloc=4.6MB, time=201.55 NO POLE NO POLE x[1] = 0.637 y2[1] (analytic) = 1.5947864703206978635242473145531 y2[1] (numeric) = 1.2451711116374749643160882822694 absolute error = 0.3496153586832228992081590322837 relative error = 21.922393072027896812591967843569 % h = 0.001 y1[1] (analytic) = 1.5947864703206978635242473145531 y1[1] (numeric) = 1.6156690915002265425770595709541 absolute error = 0.020882621179528679052812256401 relative error = 1.3094305456033473414612318945246 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1613.6MB, alloc=4.6MB, time=202.04 x[1] = 0.638 y2[1] (analytic) = 1.5955900565255996687336362294726 y2[1] (numeric) = 1.2433754519834203148443101426724 absolute error = 0.3522146045421793538893260868002 relative error = 22.074254167083950986450115428555 % h = 0.001 y1[1] (analytic) = 1.5955900565255996687336362294726 y1[1] (numeric) = 1.6165430813105784366490594004358 absolute error = 0.0209530247849787679154231709632 relative error = 1.3131834645926547423694454529256 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.639 y2[1] (analytic) = 1.5963930471404945808464124606007 y2[1] (numeric) = 1.2415648092858817572284145004107 absolute error = 0.35482823785461282361799796019 relative error = 22.22687191542154549894863649565 % h = 0.001 y1[1] (analytic) = 1.5963930471404945808464124606007 y1[1] (numeric) = 1.6174165714716100040168323678483 absolute error = 0.0210235243311154231704199072476 relative error = 1.3169391064921867636242103994429 % h = 0.001 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.6MB, time=202.53 NO POLE NO POLE x[1] = 0.64 y2[1] (analytic) = 1.5971954413623920518835462392079 y2[1] (numeric) = 1.239739130618039883766605354716 absolute error = 0.3574563107443521681169408844919 relative error = 22.380248621261117531684317748111 % h = 0.001 y1[1] (analytic) = 1.5971954413623920518835462392079 y1[1] (numeric) = 1.6182895610291726961090557810166 absolute error = 0.0210941196667806442255095418087 relative error = 1.3206974625965352722060535244621 % h = 0.001 TOP MAIN SOLVE Loop memory used=1621.2MB, alloc=4.6MB, time=203.03 NO POLE NO POLE x[1] = 0.641 y2[1] (analytic) = 1.5979972383888979268137494574101 y2[1] (numeric) = 1.237898362967390856505723376513 absolute error = 0.3600988754215070703080260808971 relative error = 22.534386591591299611065534125376 % h = 0.001 y1[1] (analytic) = 1.5979972383888979268137494574101 y1[1] (numeric) = 1.6191620490294890070060855981561 absolute error = 0.021164810640591080192336140746 relative error = 1.3244585242168164780112692325787 % h = 0.001 TOP MAIN SOLVE Loop memory used=1625.0MB, alloc=4.6MB, time=203.52 NO POLE NO POLE x[1] = 0.642 y2[1] (analytic) = 1.5987984374182152459475638332798 y2[1] (numeric) = 1.2360424532358045124900620236742 absolute error = 0.3627559841824107334575018096056 relative error = 22.689288136170517864664691080951 % h = 0.001 y1[1] (analytic) = 1.5987984374182152459475638332798 y1[1] (numeric) = 1.6200340345191534905573120235452 absolute error = 0.0212355971009382446097481902654 relative error = 1.3282222826806163886376819051083 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.643 y2[1] (analytic) = 1.599599037649145046734253783893 y2[1] (numeric) = 1.2341713482395825638364449382768 absolute error = 0.3654276894095624828978088456162 relative error = 22.844955567528613447305777298194 % h = 0.001 y1[1] (analytic) = 1.599599037649145046734253783893 y1[1] (numeric) = 1.6209055165451337772663894906409 absolute error = 0.0213064788959887305321357067479 relative error = 1.3319887293319364303054975437919 % h = 0.001 TOP MAIN SOLVE Loop memory used=1628.9MB, alloc=4.6MB, time=204.00 NO POLE NO POLE x[1] = 0.644 y2[1] (analytic) = 1.6003990382810871649607022094871 y2[1] (numeric) = 1.2322849947095168925901453903039 absolute error = 0.3681140435715702723705568191832 relative error = 23.001391200968487081922007805559 % h = 0.001 y1[1] (analytic) = 1.6003990382810871649607022094871 y1[1] (numeric) = 1.6217764941547715909432797809632 absolute error = 0.0213774558736844259825775714761 relative error = 1.3357578555311392342717229147765 % h = 0.001 TOP MAIN SOLVE Loop memory used=1632.7MB, alloc=4.6MB, time=204.49 NO POLE NO POLE x[1] = 0.645 y2[1] (analytic) = 1.6011984385140410353515079898995 y2[1] (numeric) = 1.2303833392909479403161262458543 absolute error = 0.3708150992230930950353817440452 relative error = 23.158597354567766660603915507735 % h = 0.001 y1[1] (analytic) = 1.6011984385140410353515079898995 y1[1] (numeric) = 1.6226469663957837651220471125087 absolute error = 0.0214485278817427297705391226092 relative error = 1.3395296526548945880992324409338 % h = 0.001 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.6MB, time=204.99 NO POLE NO POLE x[1] = 0.646 y2[1] (analytic) = 1.6019972375486064915694845932574 y2[1] (numeric) = 1.2284663285438231923799766830912 absolute error = 0.3735309090047832991895079101662 relative error = 23.316576349180497851641960332688 % h = 0.001 y1[1] (analytic) = 1.6019972375486064915694845932574 y1[1] (numeric) = 1.6235169323162632592433441179691 absolute error = 0.0215196947676567676738595247117 relative error = 1.3433041120961255511441530544683 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1640.3MB, alloc=4.6MB, time=205.50 x[1] = 0.647 y2[1] (analytic) = 1.6027954345859845656157597964862 y2[1] (numeric) = 1.2265339089427557568728196559746 absolute error = 0.3762615256432288087429401405116 relative error = 23.475330508438857658749779343693 % h = 0.001 y1[1] (analytic) = 1.6027954345859845656157597964862 y1[1] (numeric) = 1.6243863909646801746005277206327 absolute error = 0.0215909563786956089847679241465 relative error = 1.3470812252639547336278151817885 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.648 y2[1] (analytic) = 1.6035930288279782866286771176028 y2[1] (numeric) = 1.2245860268770830381343619143901 absolute error = 0.3790070019508952484943152032127 relative error = 23.634862158754890879034608062804 % h = 0.001 y1[1] (analytic) = 1.6035930288279782866286771176028 y1[1] (numeric) = 1.625255341389882770048344004536 absolute error = 0.0216623125619044834196668869332 relative error = 1.3508609835836507386620840482093 % h = 0.001 TOP MAIN SOLVE Loop memory used=1644.1MB, alloc=4.6MB, time=205.99 NO POLE NO POLE x[1] = 0.649 y2[1] (analytic) = 1.6043900194769934790807001609604 y2[1] (numeric) = 1.2226226286509255048281562297211 absolute error = 0.3817673908260679742525439312393 relative error = 23.795173629322269406660172625709 % h = 0.001 y1[1] (analytic) = 1.6043900194769934790807001609604 y1[1] (numeric) = 1.6261237826410984774731212652042 absolute error = 0.0217337631641049983924211042438 relative error = 1.35464337849657476659943962054 % h = 0.001 TOP MAIN SOLVE Loop memory used=1647.9MB, alloc=4.6MB, time=206.49 NO POLE NO POLE x[1] = 0.65 y2[1] (analytic) = 1.6051864057360395603725216786059 y2[1] (numeric) = 1.2206436604832455525230433473181 absolute error = 0.3845427452527940078494783312878 relative error = 23.956267252118074329524493911558 % h = 0.001 y1[1] (analytic) = 1.6051864057360395603725216786059 y1[1] (numeric) = 1.6269917137679349170234105181788 absolute error = 0.0218053080318953566508888395729 relative error = 1.3584284014601273810817158109415 % h = 0.001 TOP MAIN SOLVE Loop memory used=1651.8MB, alloc=4.6MB, time=206.99 NO POLE NO POLE x[1] = 0.651 y2[1] (analytic) = 1.6059821868087303378235797537072 y2[1] (numeric) = 1.2186490685079064607346390918022 absolute error = 0.387333118300823877088940661905 relative error = 24.118145361904600766650568086441 % h = 0.001 y1[1] (analytic) = 1.6059821868087303378235797537072 y1[1] (numeric) = 1.6278591338203809121000128344745 absolute error = 0.0218769470116505742764330807673 relative error = 1.3622160439476954361639401038147 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.652 y2[1] (analytic) = 1.6067773618992848050581841156014 y2[1] (numeric) = 1.2166387987737314443806299878148 absolute error = 0.3901385631255533606775541277866 relative error = 24.280810296231185394361802632593 % h = 0.001 y1[1] (analytic) = 1.6067773618992848050581841156014 y1[1] (numeric) = 1.628726041848807504104332965138 absolute error = 0.0219486799495226990461488495366 relative error = 1.3660062974485991638922335978276 % h = 0.001 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.6MB, time=207.47 NO POLE NO POLE x[1] = 0.653 y2[1] (analytic) = 1.6075719302125279377864562004034 y2[1] (numeric) = 1.2146127972445627996035387277922 absolute error = 0.3929591329679651381829174726112 relative error = 24.444264395436056609686402422041 % h = 0.001 y1[1] (analytic) = 1.6075719302125279377864562004034 y1[1] (numeric) = 1.629592436903968966943998811196 absolute error = 0.0220205066914410291575426107926 relative error = 1.3697991534680394217172386357701 % h = 0.001 TOP MAIN SOLVE Loop memory used=1659.4MB, alloc=4.6MB, time=207.97 NO POLE NO POLE x[1] = 0.654 y2[1] (analytic) = 1.6083658909538914889792871763013 y2[1] (numeric) = 1.2125710097993211439145188197153 absolute error = 0.395794881154570345064768356586 relative error = 24.608510002648207279805626195205 % h = 0.001 y1[1] (analytic) = 1.6083658909538914889792871763013 y1[1] (numeric) = 1.6304583180370038212946863904816 absolute error = 0.0220924270831123323153992141803 relative error = 1.3735946035270450991270367835952 % h = 0.001 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.6MB, time=208.48 NO POLE NO POLE x[1] = 0.655 y2[1] (analytic) = 1.609159243329414783436518758647 y2[1] (numeric) = 1.2105133822320647506116357816667 absolute error = 0.3986458610973500328248829769803 relative error = 24.773549463789290026729979331783 % h = 0.001 y1[1] (analytic) = 1.609159243329414783436518758647 y1[1] (numeric) = 1.6313236842994358486170900491152 absolute error = 0.0221644409700210651805712904682 relative error = 1.3773926391624206828860039744343 % h = 0.001 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.6MB, time=208.98 NO POLE NO POLE x[1] = 0.656 y2[1] (analytic) = 1.6099519865457455117475522467268 y2[1] (numeric) = 1.208439860252048977425990316529 absolute error = 0.4015121262936965343215619301978 relative error = 24.939385127575534996754983410899 % h = 0.001 y1[1] (analytic) = 1.6099519865457455117475522467268 y1[1] (numeric) = 1.632188534743175104927977762789 absolute error = 0.0222365481974295931804255160622 relative error = 1.3811932519266939802685222109326 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.657 y2[1] (analytic) = 1.6107441198101405236435918216702 y2[1] (numeric) = 1.2063503894837857893489369993823 absolute error = 0.4043937303263547342946548222879 relative error = 25.106019345519690064614176056834 % h = 0.001 y1[1] (analytic) = 1.6107441198101405236435918216702 y1[1] (numeric) = 1.6330528684205189343242714714631 absolute error = 0.0223087486103784106806796497929 relative error = 1.3849964333880639996789283767434 % h = 0.001 TOP MAIN SOLVE Loop memory used=1670.8MB, alloc=4.6MB, time=209.46 NO POLE NO POLE x[1] = 0.658 y2[1] (analytic) = 1.6115356423304666207407287533185 y2[1] (numeric) = 1.2042449154671033755935501422219 absolute error = 0.4072907268633632451471786110966 relative error = 25.273454471932983422611455210016 % h = 0.001 y1[1] (analytic) = 1.6115356423304666207407287533185 y1[1] (numeric) = 1.6339166843841529822590924906257 absolute error = 0.0223810420536863615183637373072 relative error = 1.3888021751303489880515305024993 % h = 0.001 TOP MAIN SOLVE Loop memory used=1674.6MB, alloc=4.6MB, time=209.95 NO POLE NO POLE x[1] = 0.659 y2[1] (analytic) = 1.6123265533152013486730737730358 y2[1] (numeric) = 1.2021233836572058606433866656184 absolute error = 0.4102031696579954880296871074174 relative error = 25.441692863927108505377799455469 % h = 0.001 y1[1] (analytic) = 1.6123265533152013486730737730358 y1[1] (numeric) = 1.6347799816871522085687121429013 absolute error = 0.0224534283719508598956383698655 relative error = 1.3926104687529346244269603190006 % h = 0.001 TOP MAIN SOLVE Loop memory used=1678.5MB, alloc=4.6MB, time=210.44 NO POLE NO POLE x[1] = 0.66 y2[1] (analytic) = 1.6131168519734337886151454793963 y2[1] (numeric) = 1.1999857394247331093414940049941 absolute error = 0.4131311125487006792736514744022 relative error = 25.61073688141623120125877953567 % h = 0.001 y1[1] (analytic) = 1.6131168519734337886151454793963 y1[1] (numeric) = 1.6356427593829819002493478555077 absolute error = 0.0225259074095481116342023761114 relative error = 1.3964213058707223691035581671251 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1682.3MB, alloc=4.6MB, time=210.93 x[1] = 0.661 y2[1] (analytic) = 1.6139065375148653481927232544241 y2[1] (numeric) = 1.1978319280558206259725093103965 absolute error = 0.4160746094590447222202139440276 relative error = 25.780588887119019301699134775409 % h = 0.001 y1[1] (analytic) = 1.6139065375148653481927232544241 y1[1] (numeric) = 1.6365050165254986839827450718647 absolute error = 0.0225984790106333357900218174406 relative error = 1.400234678114077967764902375734 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.662 y2[1] (analytic) = 1.6146956091498105517813737796007 y2[1] (numeric) = 1.1956618947521595472905944631252 absolute error = 0.4190337143976510044907793164755 relative error = 25.95125124656069414034903090614 % h = 0.001 y1[1] (analytic) = 1.6146956091498105517813737796007 y1[1] (numeric) = 1.6373667521689515384094854295484 absolute error = 0.0226711430191409866281116499477 relative error = 1.4040505771287801099870001209208 % h = 0.001 TOP MAIN SOLVE Loop memory used=1686.1MB, alloc=4.6MB, time=211.44 NO POLE NO POLE x[1] = 0.663 y2[1] (analytic) = 1.6154840660891978301918608531767 y2[1] (numeric) = 1.1934755846310567294458497304103 absolute error = 0.4220084814581411007460111227664 relative error = 26.122726328075104373973451700298 % h = 0.001 y1[1] (analytic) = 1.6154840660891978301918608531767 y1[1] (numeric) = 1.6382279653679828061489617617583 absolute error = 0.0227438992787849759571009085816 relative error = 1.4078689945759692415310505979378 % h = 0.001 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.6MB, time=211.93 NO POLE NO POLE x[1] = 0.664 y2[1] (analytic) = 1.6162719075445703097416488234469 y2[1] (numeric) = 1.1912729427254949287617472106668 absolute error = 0.4249989648190753809799016127801 relative error = 26.29501650280682185760151486682 % h = 0.001 y1[1] (analytic) = 1.6162719075445703097416488234469 y1[1] (numeric) = 1.639088655177629205564960585528 absolute error = 0.0228167476330588958233117620811 relative error = 1.4116899221320965298300741251586 % h = 0.001 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.6MB, time=212.43 NO POLE NO POLE x[1] = 0.665 y2[1] (analytic) = 1.6170591327280866007117105665481 y2[1] (numeric) = 1.1890539139841930763160235867607 absolute error = 0.4280052187438935243956869797874 relative error = 26.468124144713259566706351722579 % h = 0.001 y1[1] (analytic) = 1.6170591327280866007117105665481 y1[1] (numeric) = 1.6399488206533228422757928470578 absolute error = 0.0228896879252362415640822805097 relative error = 1.4155133514888729820800726131213 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.666 y2[1] (analytic) = 1.6178457408525215851878515520396 y2[1] (numeric) = 1.1868184432716666462773701033283 absolute error = 0.4310272975808549389104814487113 relative error = 26.642051630566811519558559098322 % h = 0.001 y1[1] (analytic) = 1.6178457408525215851878515520396 y1[1] (numeric) = 1.6408084608508922204079138027805 absolute error = 0.0229627199983706352200622507409 relative error = 1.4193392743532187153487477239154 % h = 0.001 TOP MAIN SOLVE Loop memory used=1697.5MB, alloc=4.6MB, time=212.91 NO POLE NO POLE x[1] = 0.667 y2[1] (analytic) = 1.6186317311312672042857621550066 y2[1] (numeric) = 1.1845664753682881179501561165997 absolute error = 0.4340652557629790863356060384069 relative error = 26.816801339957014653247129569389 % h = 0.001 y1[1] (analytic) = 1.6186317311312672042857621550066 y1[1] (numeric) = 1.6416675748265632535919730240955 absolute error = 0.0230358436952960493062108690889 relative error = 1.4231676824472123781171530725098 % h = 0.001 TOP MAIN SOLVE Loop memory used=1701.3MB, alloc=4.6MB, time=213.41 NO POLE NO POLE x[1] = 0.668 y2[1] (analytic) = 1.6194171027783332447590109897005 y2[1] (numeric) = 1.1822979549703475314793210314955 absolute error = 0.437119147807985713279689958205 relative error = 26.992375655292732607211201182074 % h = 0.001 y1[1] (analytic) = 1.6194171027783332447590109897005 y1[1] (numeric) = 1.64252616163696027570023562411 absolute error = 0.0231090588586270309412246344095 relative error = 1.4269985675080407226719960341404 % h = 0.001 TOP MAIN SOLVE Loop memory used=1705.2MB, alloc=4.6MB, time=213.90 NO POLE NO POLE x[1] = 0.669 y2[1] (analytic) = 1.6202018550083481249891926567879 y2[1] (numeric) = 1.1800128266901131371674679411014 absolute error = 0.4401890283182349878217247156865 relative error = 27.168776961804361368473949088078 % h = 0.001 y1[1] (analytic) = 1.6202018550083481249891926567879 y1[1] (numeric) = 1.6433842203391070513243159162233 absolute error = 0.0231823653307589263351232594354 relative error = 1.4308319212879483277686331753758 % h = 0.001 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.6MB, time=214.39 NO POLE NO POLE x[1] = 0.67 y2[1] (analytic) = 1.6209859870365596803574439141266 y2[1] (numeric) = 1.1777110350558921383560908180864 absolute error = 0.4432749519806675420013530960402 relative error = 27.346007647546056733116477567255 % h = 0.001 y1[1] (analytic) = 1.6209859870365596803574439141266 y1[1] (numeric) = 1.6442417499904277859921648269672 absolute error = 0.0232557629538681056347209128406 relative error = 1.434667735554187470987121072869 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.671 y2[1] (analytic) = 1.6217694980788359479965428996171 y2[1] (numeric) = 1.1753925245120915278227656763222 absolute error = 0.4463769735667444201737772232949 relative error = 27.524070103397983538874670430636 % h = 0.001 y1[1] (analytic) = 1.6217694980788359479965428996171 y1[1] (numeric) = 1.6450987496487481361232524991857 absolute error = 0.0233292515699121881267095995686 relative error = 1.4385060020889681502059913769863 % h = 0.001 TOP MAIN SOLVE Loop memory used=1712.8MB, alloc=4.6MB, time=214.88 NO POLE NO POLE x[1] = 0.672 y2[1] (analytic) = 1.6225523873516659509228066540965 y2[1] (numeric) = 1.1730572394192790176460347239934 absolute error = 0.4494951479323869332767719301031 relative error = 27.702966723068586624085629322569 % h = 0.001 y1[1] (analytic) = 1.6225523873516659509228066540965 y1[1] (numeric) = 1.6459552183722962187208876363879 absolute error = 0.0234028310206302677980809822914 relative error = 1.4423467126894082536207154688982 % h = 0.001 TOP MAIN SOLVE Loop memory used=1716.6MB, alloc=4.6MB, time=215.38 NO POLE NO POLE x[1] = 0.673 y2[1] (analytic) = 1.6233346540721604815470028124424 y2[1] (numeric) = 1.1707051240542440624896111669694 absolute error = 0.452629530017916419057391645473 relative error = 27.882699903096883468552581506787 % h = 0.001 y1[1] (analytic) = 1.6233346540721604815470028124424 y1[1] (numeric) = 1.6468111552197036208006152549495 absolute error = 0.0234765011475431392536124425071 relative error = 1.4461898591674838777361100025174 % h = 0.001 TOP MAIN SOLVE Loop memory used=1720.4MB, alloc=4.6MB, time=215.87 NO POLE NO POLE x[1] = 0.674 y2[1] (analytic) = 1.6241162974580528845634919520396 y2[1] (numeric) = 1.1683361226100589762574309932388 absolute error = 0.4557801748479939083060609588008 relative error = 28.063272042854778472237979804992 % h = 0.001 y1[1] (analytic) = 1.6241162974580528845634919520396 y1[1] (numeric) = 1.6476665592500064085536346277653 absolute error = 0.0235502617919535239901426757257 relative error = 1.4500354333499797927642100683186 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1724.2MB, alloc=4.6MB, time=216.35 x[1] = 0.675 y2[1] (analytic) = 1.6248973167276998392168177095343 y2[1] (numeric) = 1.1659501791961401420709767759067 absolute error = 0.4589471375315596971458409336276 relative error = 28.244685544549398828033955889535 % h = 0.001 y1[1] (analytic) = 1.6248973167276998392168177095343 y1[1] (numeric) = 1.6485214295226461362441793209677 absolute error = 0.0236241127949462970273616114334 relative error = 1.4538834270784400548614017160806 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.676 y2[1] (analytic) = 1.6256777111000821409449623993491 y2[1] (numeric) = 1.1635472378383093155201972737165 absolute error = 0.4621304732617728254247651256326 relative error = 28.426942813225451945197332500779 % h = 0.001 y1[1] (analytic) = 1.6256777111000821409449623993491 y1[1] (numeric) = 1.6493757650974708548398013444273 absolute error = 0.0236980539973887138948389450782 relative error = 1.4577338322091187646408601800925 % h = 0.001 TOP MAIN SOLVE Loop memory used=1728.0MB, alloc=4.6MB, time=216.85 NO POLE NO POLE x[1] = 0.677 y2[1] (analytic) = 1.6264574797948054823984864907691 y2[1] (numeric) = 1.1611272424788550211392453844002 absolute error = 0.4653302373159504612592411063689 relative error = 28.610046256767604380373058705558 % h = 0.001 y1[1] (analytic) = 1.6264574797948054823984864907691 y1[1] (numeric) = 1.6502295650347361203735015569388 absolute error = 0.0237720852399306379750150661697 relative error = 1.4615866406129309713985844135566 % h = 0.001 TOP MAIN SOLVE Loop memory used=1731.9MB, alloc=4.6MB, time=217.36 NO POLE NO POLE x[1] = 0.678 y2[1] (analytic) = 1.6272366220321012338347709245244 y2[1] (numeric) = 1.1586901369765940420581558174859 absolute error = 0.4685464850555071917766151070385 relative error = 28.793998285902882233465213331479 % h = 0.001 y1[1] (analytic) = 1.6272366220321012338347709245244 y1[1] (numeric) = 1.6510828283951060020366485882688 absolute error = 0.0238462063630047682018776637444 relative error = 1.4654418441754037224935525102606 % h = 0.001 TOP MAIN SOLVE Loop memory used=1735.7MB, alloc=4.6MB, time=217.85 NO POLE NO POLE x[1] = 0.679 y2[1] (analytic) = 1.6280151370328272228865818746926 y2[1] (numeric) = 1.1562358651069330027814826996065 absolute error = 0.4717792719258942201050991750861 relative error = 28.978801314203092965948633453793 % h = 0.001 y1[1] (analytic) = 1.6280151370328272228865818746926 y1[1] (numeric) = 1.6519355542396540900016286626032 absolute error = 0.0239204172068268671150467879106 relative error = 1.4692994347966272573247463213518 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.68 y2[1] (analytic) = 1.6287930240184685137041781874202 y2[1] (numeric) = 1.1537643705619300450448162069674 absolute error = 0.4750286534565384686593619804528 relative error = 29.164457758087268599546775483262 % h = 0.001 y1[1] (analytic) = 1.6287930240184685137041781874202 y1[1] (numeric) = 1.6527877416298645029731688313796 absolute error = 0.0239947176113959892689906439594 relative error = 1.4731594043912063453500071137952 % h = 0.001 TOP MAIN SOLVE Loop memory used=1739.5MB, alloc=4.6MB, time=218.36 NO POLE NO POLE x[1] = 0.681 y2[1] (analytic) = 1.6295702822111381854701823544214 y2[1] (numeric) = 1.1512755969503565966999962365517 absolute error = 0.4782946852607815887701861178697 relative error = 29.350970036824130253532614167156 % h = 0.001 y1[1] (analytic) = 1.6295702822111381854701823544214 y1[1] (numeric) = 1.6536393896276328954672762480251 absolute error = 0.0240691074164947099970938936037 relative error = 1.4770217448882117675938875144027 % h = 0.001 TOP MAIN SOLVE Loop memory used=1743.3MB, alloc=4.6MB, time=218.86 NO POLE NO POLE x[1] = 0.682 y2[1] (analytic) = 1.6303469108335781102864365064475 y2[1] (numeric) = 1.1487694877977592335797400799723 absolute error = 0.4815774230358188767066964264752 relative error = 29.538340572534573979239237789212 % h = 0.001 y1[1] (analytic) = 1.6303469108335781102864365064475 y1[1] (numeric) = 1.6544904972952674648167362427401 absolute error = 0.0241435864616893545302997362926 relative error = 1.4808864482311319410938582893168 % h = 0.001 TOP MAIN SOLVE Loop memory used=1747.1MB, alloc=4.6MB, time=219.35 NO POLE NO POLE x[1] = 0.683 y2[1] (analytic) = 1.6311229091091597304320655399362 y2[1] (numeric) = 1.146245986546521634292300051733 absolute error = 0.4848769225626380961397654882032 relative error = 29.726571790194177850695314112337 % h = 0.001 y1[1] (analytic) = 1.6311229091091597304320655399362 y1[1] (numeric) = 1.655341063695489957902112082179 absolute error = 0.0242181545863302274700465422428 relative error = 1.4847535063778246857364117728742 % h = 0.001 TOP MAIN SOLVE Loop memory used=1750.9MB, alloc=4.6MB, time=219.84 NO POLE NO POLE x[1] = 0.684 y2[1] (analytic) = 1.631898276261884834991970118843 y2[1] (numeric) = 1.1437050365559266278966660471415 absolute error = 0.4881932397059582070953040717015 relative error = 29.915666117635730270627789180763 % h = 0.001 y1[1] (analytic) = 1.631898276261884834991970118843 y1[1] (numeric) = 1.6561910878914366776071894266727 absolute error = 0.0242928116295518426152193078297 relative error = 1.488622911300469132936777030907 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.685 y2[1] (analytic) = 1.6326730115163863358549729232243 y2[1] (numeric) = 1.1411465811022183344087270643286 absolute error = 0.4915264304141680014462458588957 relative error = 30.105625985551779451400047974192 % h = 0.001 y1[1] (analytic) = 1.6326730115163863358549729232243 y1[1] (numeric) = 1.6570405689466594889978086265213 absolute error = 0.024367557430273153142835703297 relative error = 1.4924946549855177756181251711777 % h = 0.001 TOP MAIN SOLVE Loop memory used=1754.7MB, alloc=4.6MB, time=220.34 NO POLE NO POLE x[1] = 0.686 y2[1] (analytic) = 1.6334471140979290430808421464934 y2[1] (numeric) = 1.1385705633786643980887048198855 absolute error = 0.4948765507192646449921373266079 relative error = 30.296453827497204030778320029728 % h = 0.001 y1[1] (analytic) = 1.6334471140979290430808421464934 y1[1] (numeric) = 1.6578895059251268252230281288545 absolute error = 0.0244423918271977821421859823611 relative error = 1.4963687294336486589482966455613 % h = 0.001 TOP MAIN SOLVE Loop memory used=1758.6MB, alloc=4.6MB, time=220.83 NO POLE NO POLE x[1] = 0.687 y2[1] (analytic) = 1.6342205832324104396354168743884 y2[1] (numeric) = 1.1359769264956183134600717186333 absolute error = 0.4982436567367921261753451557551 relative error = 30.488152079891804782742362420097 % h = 0.001 y1[1] (analytic) = 1.6342205832324104396354168743884 y1[1] (numeric) = 1.6587378978912246931375623976138 absolute error = 0.0245173146588142535021455232254 relative error = 1.5002451266597177112942259744158 % h = 0.001 TOP MAIN SOLVE Loop memory used=1762.4MB, alloc=4.6MB, time=221.32 NO POLE NO POLE x[1] = 0.688 y2[1] (analytic) = 1.6349934181463614554930596105924 y2[1] (numeric) = 1.1333656134805818440100646050996 absolute error = 0.5016278046657796114829950054928 relative error = 30.680723182022917383878404758697 % h = 0.001 y1[1] (analytic) = 1.6349934181463614554930596105924 y1[1] (numeric) = 1.6595857439097576786444378813549 absolute error = 0.0245923257633962231513782707625 relative error = 1.5041238386927112148563731103413 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1766.2MB, alloc=4.6MB, time=221.80 x[1] = 0.689 y2[1] (analytic) = 1.6357656180669472411056618466169 y2[1] (numeric) = 1.1307365672782675335218049274982 absolute error = 0.5050290507886797075838569191187 relative error = 30.874169576048046196213004010838 % h = 0.001 y1[1] (analytic) = 1.6357656180669472411056618466169 y1[1] (numeric) = 1.6604330430459499517568106967983 absolute error = 0.0246674249790027106511488501814 relative error = 1.5080048575756984154475946948403 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.69 y2[1] (analytic) = 1.6365371822219679402374292070087 y2[1] (numeric) = 1.1280897307506613099879351845013 absolute error = 0.5084474514713066302494940225074 relative error = 31.068493706997519027665838601919 % h = 0.001 y1[1] (analytic) = 1.6365371822219679402374292070087 y1[1] (numeric) = 1.6612797943654462713778898303762 absolute error = 0.0247426121434783311404606233675 relative error = 1.5118881753657842708830027945523 % h = 0.001 TOP MAIN SOLVE Loop memory used=1770.0MB, alloc=4.6MB, time=222.30 NO POLE NO POLE x[1] = 0.691 y2[1] (analytic) = 1.6373081098398594621646733351585 y2[1] (numeric) = 1.1254250466770851820555808009619 absolute error = 0.5118830631627742801090925341966 relative error = 31.263698022777162831617579361303 % h = 0.001 y1[1] (analytic) = 1.6373081098398594621646733351585 y1[1] (numeric) = 1.6621259969343129897979097954263 absolute error = 0.0248178870944535276332364602678 relative error = 1.5157737841340623374494633812359 % h = 0.001 TOP MAIN SOLVE Loop memory used=1773.8MB, alloc=4.6MB, time=222.80 NO POLE NO POLE x[1] = 0.692 y2[1] (analytic) = 1.6380784001496942532398383199832 y2[1] (numeric) = 1.1227424577542600279523458910972 absolute error = 0.515335942395434225287492428886 relative error = 31.459784974171000307405816918215 % h = 0.001 y1[1] (analytic) = 1.6380784001496942532398383199832 y1[1] (numeric) = 1.6629716498190390569070968191775 absolute error = 0.0248932496693448036672584991943 relative error = 1.5196616759655677939254818887124 % h = 0.001 TOP MAIN SOLVE Loop memory used=1777.6MB, alloc=4.6MB, time=223.31 NO POLE NO POLE x[1] = 0.693 y2[1] (analytic) = 1.638848052381182067818990099522 y2[1] (numeric) = 1.1200419065963684768429507165878 absolute error = 0.5188061457848135909760393829342 relative error = 31.656757014843967363877608924934 % h = 0.001 y1[1] (analytic) = 1.638848052381182067818990099522 y1[1] (numeric) = 1.6638167520865370241235727712509 absolute error = 0.0249686997053549563045826717289 relative error = 1.5235518429592306026243086870142 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.694 y2[1] (analytic) = 1.639617065764670738551997914018 y2[1] (numeric) = 1.1173233357351178825660180326886 absolute error = 0.5222937300295528559859798813294 relative error = 31.854616601344651408441543533404 % h = 0.001 y1[1] (analytic) = 1.639617065764670738551997914018 y1[1] (numeric) = 1.6646613028041440480351411840663 absolute error = 0.0250442370394733094831432700483 relative error = 1.5274442772278288069351733065091 % h = 0.001 TOP MAIN SOLVE Loop memory used=1781.5MB, alloc=4.6MB, time=223.79 NO POLE NO POLE x[1] = 0.695 y2[1] (analytic) = 1.6403854395311469460346375183712 y2[1] (numeric) = 1.1145866876198033897004149378948 absolute error = 0.5257987519113435563342225804764 relative error = 32.053366193108050424375305465234 % h = 0.001 y1[1] (analytic) = 1.6403854395311469460346375183712 y1[1] (numeric) = 1.6655053010396228937538998552988 absolute error = 0.0251198615084759477192623369276 relative error = 1.5313389708979419648396227678983 % h = 0.001 TOP MAIN SOLVE Loop memory used=1785.3MB, alloc=4.6MB, time=224.29 NO POLE NO POLE x[1] = 0.696 y2[1] (analytic) = 1.641153172912236987821846501921 y2[1] (numeric) = 1.1118319046173710919104563020637 absolute error = 0.5293212682948658959113901998573 relative error = 32.25300825245835279945658532125 % h = 0.001 y1[1] (analytic) = 1.641153172912236987821846501921 y1[1] (numeric) = 1.6663487458611629379826246633706 absolute error = 0.0251955729489259501607781614496 relative error = 1.5352359161099047178819964752101 % h = 0.001 TOP MAIN SOLVE Loop memory used=1789.1MB, alloc=4.6MB, time=224.79 NO POLE NO POLE x[1] = 0.697 y2[1] (analytic) = 1.6419202651402075468013627023692 y2[1] (numeric) = 1.10905892901248128251917534427 absolute error = 0.5328613361277262642821873580992 relative error = 32.453545244611737869295798966089 % h = 0.001 y1[1] (analytic) = 1.6419202651402075468013627023692 y1[1] (numeric) = 1.6671916363373811717918693688912 absolute error = 0.025271371197173624990506666522 relative error = 1.5391351050177604950751178527548 % h = 0.001 TOP MAIN SOLVE Loop memory used=1792.9MB, alloc=4.6MB, time=225.28 NO POLE NO POLE x[1] = 0.698 y2[1] (analytic) = 1.6426867154479664589269773402679 y2[1] (numeric) = 1.1062677030075717972587664651748 absolute error = 0.5364190124403946616682108750931 relative error = 32.654979637679197139058489345367 % h = 0.001 y1[1] (analytic) = 1.6426867154479664589269773402679 y1[1] (numeric) = 1.6680339715373232031067263179759 absolute error = 0.025347256089356744179748977708 relative error = 1.5430365297892153512243213003598 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.699 y2[1] (analytic) = 1.643452523069063480310635140883 y2[1] (numeric) = 1.1034581687229214491472050094238 absolute error = 0.5399943543461420311634301314592 relative error = 32.857313902669376147573475358951 % h = 0.001 y1[1] (analytic) = 1.643452523069063480310635140883 y1[1] (numeric) = 1.6688757505304642589021931074739 absolute error = 0.0254232274614007785915579665909 relative error = 1.5469401826055919391549621483959 % h = 0.001 TOP MAIN SOLVE Loop memory used=1796.7MB, alloc=4.6MB, time=225.77 NO POLE NO POLE x[1] = 0.7 y2[1] (analytic) = 1.6442176872376910536726143513987 y2[1] (numeric) = 1.1006302681967135554399482416628 absolute error = 0.5435874190409774982326661097359 relative error = 33.060550513491436938129798795168 % h = 0.001 y1[1] (analytic) = 1.6442176872376910536726143513987 y1[1] (numeric) = 1.6697169723867101871060904173288 absolute error = 0.0254992851490191334334760659301 relative error = 1.5508460556617836153305771608427 % h = 0.001 TOP MAIN SOLVE Loop memory used=1800.5MB, alloc=4.6MB, time=226.27 NO POLE NO POLE x[1] = 0.701 y2[1] (analytic) = 1.6449822071886850741490202033442 y2[1] (numeric) = 1.0977839433850995566055214652799 absolute error = 0.5471982638035855175434987380643 relative error = 33.264691946957941100571308159361 % h = 0.001 y1[1] (analytic) = 1.6449822071886850741490202033442 y1[1] (numeric) = 1.6705576361763984582084763615707 absolute error = 0.0255754289877133840594561582265 relative error = 1.5547541411662086783508738059007 % h = 0.001 TOP MAIN SOLVE Loop memory used=1804.3MB, alloc=4.6MB, time=226.76 NO POLE NO POLE x[1] = 0.702 y2[1] (analytic) = 1.6457460821575256544558260128154 y2[1] (numeric) = 1.0949191361622627272736928960556 absolute error = 0.5508269459952629271821331167598 relative error = 33.469740682787753349602314800463 % h = 0.001 y1[1] (analytic) = 1.6457460821575256544558260128154 y1[1] (numeric) = 1.6713977409702991665765028568035 absolute error = 0.0256516588127735121206768439881 relative error = 1.5586644313407647398207280333385 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1808.2MB, alloc=4.6MB, time=227.24 x[1] = 0.703 y2[1] (analytic) = 1.6465093113803378894086967545133 y2[1] (numeric) = 1.0920357883204819791048406236359 absolute error = 0.5544735230598559103038561308774 relative error = 33.675699203608965604521169305287 % h = 0.001 y1[1] (analytic) = 1.6465093113803378894086967545133 y1[1] (numeric) = 1.6722372858396160314736596555039 absolute error = 0.0257279744592781420649629009906 relative error = 1.5625769184207832270833627113989 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.704 y2[1] (analytic) = 1.6472718940938926197978305898392 y2[1] (numeric) = 1.0891338415701957555290147522399 absolute error = 0.5581380525236968642688158375993 relative error = 33.882569994961841535900841909656 % h = 0.001 y1[1] (analytic) = 1.6472718940938926197978305898392 y1[1] (numeric) = 1.6730762698559873977823518409876 absolute error = 0.0258043757620947779845212511484 relative error = 1.5664915946549840173128622269261 % h = 0.001 TOP MAIN SOLVE Loop memory used=1812.0MB, alloc=4.6MB, time=227.74 NO POLE NO POLE x[1] = 0.705 y2[1] (analytic) = 1.6480338295356071956170544742679 y2[1] (numeric) = 1.0862132375400660183030976083876 absolute error = 0.5618205919955411773139568658803 relative error = 34.090355545301781545036656846186 % h = 0.001 y1[1] (analytic) = 1.6480338295356071956170544742679 y1[1] (numeric) = 1.6739146920914872364287567315237 absolute error = 0.0258808625558800408117022572558 relative error = 1.5704084523054302024631530847339 % h = 0.001 TOP MAIN SOLVE Loop memory used=1815.8MB, alloc=4.6MB, time=228.26 NO POLE NO POLE x[1] = 0.706 y2[1] (analytic) = 1.6487951169435462386464106149696 y2[1] (numeric) = 1.0832739177770423258343647377842 absolute error = 0.5655211991665039128120458771854 relative error = 34.299058346002308142281234252065 % h = 0.001 y1[1] (analytic) = 1.6487951169435462386464106149696 y1[1] (numeric) = 1.674752551618626144508906292793 absolute error = 0.0259574346750799058624956778234 relative error = 1.5743274836474829845725456996134 % h = 0.001 TOP MAIN SOLVE Loop memory used=1819.6MB, alloc=4.6MB, time=228.75 NO POLE NO POLE x[1] = 0.707 y2[1] (analytic) = 1.6495557555564224043874711961547 y2[1] (numeric) = 1.0803158237464260032186492859344 absolute error = 0.5692399318099964011688219102203 relative error = 34.508680891358071690685441599032 % h = 0.001 y1[1] (analytic) = 1.6495557555564224043874711961547 y1[1] (numeric) = 1.675589847510352345114941310687 absolute error = 0.0260340919539299407274701145323 relative error = 1.5782486809697567009248890008943 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.708 y2[1] (analytic) = 1.6503157446135971433506194368912 y2[1] (numeric) = 1.0773388968319344039412122676931 absolute error = 0.5729768477816627394094071691981 relative error = 34.719225678587876481661756648369 % h = 0.001 y1[1] (analytic) = 1.6503157446135971433506194368912 y1[1] (numeric) = 1.6764265788400526868604837303323 absolute error = 0.0261108342264555435098642934411 relative error = 1.5821720365740739785703370072557 % h = 0.001 TOP MAIN SOLVE Loop memory used=1823.4MB, alloc=4.6MB, time=229.24 NO POLE NO POLE x[1] = 0.709 y2[1] (analytic) = 1.6510750833550814616935356941786 y2[1] (numeric) = 1.0743430783357652631883211798885 absolute error = 0.5767320050193161985052145142901 relative error = 34.930695207837727109682902704719 % h = 0.001 y1[1] (analytic) = 1.6510750833550814616935356941786 y1[1] (numeric) = 1.6772627446815536431040737222007 absolute error = 0.0261876613264721814105380280221 relative error = 1.5860975427754210177106652223565 % h = 0.001 TOP MAIN SOLVE Loop memory used=1827.2MB, alloc=4.6MB, time=229.73 NO POLE NO POLE x[1] = 0.71 y2[1] (analytic) = 1.6518337710215366812101279728528 y2[1] (numeric) = 1.0713283094786611427174393984909 absolute error = 0.5805054615428755384926885743619 relative error = 35.143091982183895113323941435389 % h = 0.001 y1[1] (analytic) = 1.6518337710215366812101279728528 y1[1] (numeric) = 1.6780983441091223108696181922291 absolute error = 0.0262645730875856296594902193763 relative error = 1.5900251919019030034560045927239 % h = 0.001 TOP MAIN SOLVE Loop memory used=1831.0MB, alloc=4.6MB, time=230.22 NO POLE NO POLE x[1] = 0.711 y2[1] (analytic) = 1.6525918068542751986691468534576 y2[1] (numeric) = 1.0682945313999739672338288276516 absolute error = 0.584297275454301231435318025806 relative error = 35.356418507636005850250205692375 % h = 0.001 y1[1] (analytic) = 1.6525918068542751986691468534576 y1[1] (numeric) = 1.6789333761974674094627976100218 absolute error = 0.0263415693431922107936507565642 relative error = 1.5939549762946996454617818996386 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1834.9MB, alloc=4.6MB, time=230.72 x[1] = 0.712 y2[1] (analytic) = 1.6533491900952612445017254995287 y2[1] (numeric) = 1.0652416851577296522212683324048 absolute error = 0.5881075049375315922804571671239 relative error = 35.570677293140145574046531540739 % h = 0.001 y1[1] (analytic) = 1.6533491900952612445017254995287 y1[1] (numeric) = 1.6797678400217402787823781874477 absolute error = 0.026418649926479034280652687919 relative error = 1.5978868883080208449565678704598 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.713 y2[1] (analytic) = 1.6541059199871116408370860568158 y2[1] (numeric) = 1.0621697117286928231744905900214 absolute error = 0.5919362082584188176625954667944 relative error = 35.785870850581988681075211942319 % h = 0.001 y1[1] (analytic) = 1.6541059199871116408370860568158 y1[1] (numeric) = 1.6806017346575358773253765992671 absolute error = 0.0264958146704242364882905424513 relative error = 1.601820920309062488673438032215 % h = 0.001 TOP MAIN SOLVE Loop memory used=1838.7MB, alloc=4.6MB, time=231.21 NO POLE NO POLE x[1] = 0.714 y2[1] (analytic) = 1.6548619957730965588856544087971 y2[1] (numeric) = 1.0590785520084316261808401370321 absolute error = 0.595783443764664932704814271765 relative error = 36.002001694789945095840951114105 % h = 0.001 y1[1] (analytic) = 1.6548619957730965588856544087971 y1[1] (numeric) = 1.681435059180893779885024597837 absolute error = 0.0265730634077972209993701890399 relative error = 1.6057570646779623691993464349995 % h = 0.001 TOP MAIN SOLVE Loop memory used=1842.5MB, alloc=4.6MB, time=231.70 NO POLE NO POLE x[1] = 0.715 y2[1] (analytic) = 1.655617416697140275668825905437 y2[1] (numeric) = 1.0559681468113826297985555699046 absolute error = 0.5996492698857576458702703355324 relative error = 36.219072343538327763630855287407 % h = 0.001 y1[1] (analytic) = 1.655617416697140275668825905437 y1[1] (numeric) = 1.6822678126682991749404810354411 absolute error = 0.0266503959711588992716551300041 relative error = 1.6096953138077562312588988846938 % h = 0.001 TOP MAIN SOLVE Loop memory used=1846.3MB, alloc=4.6MB, time=232.21 NO POLE NO POLE x[1] = 0.716 y2[1] (analytic) = 1.6563721820038219300946253354824 y2[1] (numeric) = 1.0528384368709158181789790773708 absolute error = 0.6035337451329061119156462581116 relative error = 36.437085317550540219486159212015 % h = 0.001 y1[1] (analytic) = 1.6563721820038219300946253354824 y1[1] (numeric) = 1.6830999941966838617372389703796 absolute error = 0.0267278121928619316426136348972 relative error = 1.613635660104333943450790286822 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.717 y2[1] (analytic) = 1.6571262909383762783785050667013 y2[1] (numeric) = 1.0496893628393996753798967415669 absolute error = 0.6074369280989766029986083251344 relative error = 36.656043140502284202849965019124 % h = 0.001 y1[1] (analytic) = 1.6571262909383762783785050667013 y1[1] (numeric) = 1.6839316028434272470571756966246 absolute error = 0.0268053119050509686786706299233 relative error = 1.6175780959863957949570401556465 % h = 0.001 TOP MAIN SOLVE Loop memory used=1850.1MB, alloc=4.6MB, time=232.69 NO POLE NO POLE x[1] = 0.718 y2[1] (analytic) = 1.6578797427466944488085259333295 y2[1] (numeric) = 1.04652086528826636081711334357 absolute error = 0.6113588774584280879914125897595 relative error = 36.875948339024787287521767683048 % h = 0.001 y1[1] (analytic) = 1.6578797427466944488085259333295 y1[1] (numeric) = 1.6847626376863573416771937016111 absolute error = 0.0268828949396628928686677682816 relative error = 1.6215226138854089167470213270805 % h = 0.001 TOP MAIN SOLVE Loop memory used=1853.9MB, alloc=4.6MB, time=233.18 NO POLE NO POLE x[1] = 0.719 y2[1] (analytic) = 1.6586325366753246958541661056053 y2[1] (numeric) = 1.0433328847080769758012657467043 absolute error = 0.615299651967247720052900358901 relative error = 37.096803442708050496834965974174 % h = 0.001 y1[1] (analytic) = 1.6586325366753246958541661056053 y1[1] (numeric) = 1.6855930978037517565154007225795 absolute error = 0.0269605611284270606612346169742 relative error = 1.6254692062455638268001294708131 % h = 0.001 TOP MAIN SOLVE Loop memory used=1857.7MB, alloc=4.6MB, time=233.68 NO POLE NO POLE x[1] = 0.72 y2[1] (analytic) = 1.6593846719714731536180038326482 y2[1] (numeric) = 1.0401253615085869211067793082466 absolute error = 0.6192593104628862325112245244016 relative error = 37.31861098410411587425791611054 % h = 0.001 y1[1] (analytic) = 1.6593846719714731536180038326482 y1[1] (numeric) = 1.6864229822743386984637772388219 absolute error = 0.0270383103028655448457734061737 relative error = 1.6294178655237310988727851666076 % h = 0.001 TOP MAIN SOLVE Loop memory used=1861.6MB, alloc=4.6MB, time=234.17 NO POLE NO POLE x[1] = 0.721 y2[1] (analytic) = 1.6601361478830045886295206070606 y2[1] (numeric) = 1.0368982360188113455197721869998 absolute error = 0.6232379118641932431097484200608 relative error = 37.541373498730353979902383892947 % h = 0.001 y1[1] (analytic) = 1.6601361478830045886295206070606 y1[1] (numeric) = 1.6872522901772979659062799052064 absolute error = 0.0271161422942933772767592981458 relative error = 1.6333685841894181543372961329641 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.722 y2[1] (analytic) = 1.6608869636584431519802719575123 y2[1] (numeric) = 1.0336514484870906853116128707201 absolute error = 0.6272355151713524666686590867922 relative error = 37.765093525072771283705496516331 % h = 0.001 y1[1] (analytic) = 1.6608869636584431519802719575123 y1[1] (numeric) = 1.6880810205922619439213296014648 absolute error = 0.0271940569338187919410576439525 relative error = 1.6373213547247261766219347128623 % h = 0.001 TOP MAIN SOLVE Loop memory used=1865.4MB, alloc=4.6MB, time=234.66 NO POLE NO POLE x[1] = 0.723 y2[1] (analytic) = 1.6616371185469731307996737341996 y2[1] (numeric) = 1.0303849390811562945847367436954 absolute error = 0.6312521794658168362149369905042 relative error = 37.989773604589337426332494020474 % h = 0.001 y1[1] (analytic) = 1.6616371185469731307996737341996 y1[1] (numeric) = 1.6889091725993165991676329419238 absolute error = 0.0272720540523434683679592077242 relative error = 1.6412761696243071477834049710361 % h = 0.001 TOP MAIN SOLVE Loop memory used=1869.2MB, alloc=4.6MB, time=235.15 NO POLE NO POLE x[1] = 0.724 y2[1] (analytic) = 1.6623866117984396990706524114553 y2[1] (numeric) = 1.0270986478881961664372280509783 absolute error = 0.635287963910243532633424360477 relative error = 38.21541628171333231912773897543 % h = 0.001 y1[1] (analytic) = 1.6623866117984396990706524114553 y1[1] (numeric) = 1.6897367452790024744522862616459 absolute error = 0.0273501334805627753816338501906 relative error = 1.6452330213953210067446847802234 % h = 0.001 TOP MAIN SOLVE Loop memory used=1873.0MB, alloc=4.6MB, time=235.65 NO POLE NO POLE x[1] = 0.725 y2[1] (analytic) = 1.6631354426633496677844085919225 y2[1] (numeric) = 1.0237925149149207448925741919853 absolute error = 0.6393429277484289228918343999372 relative error = 38.442024103856713054720567956725 % h = 0.001 y1[1] (analytic) = 1.6631354426633496677844085919225 y1[1] (numeric) = 1.690563737712315682980111267316 absolute error = 0.0274282950489660151957026753935 relative error = 1.6491919025573929287330311090753 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1876.8MB, alloc=4.6MB, time=236.14 x[1] = 0.726 y2[1] (analytic) = 1.6638836103928722344335435575901 y2[1] (numeric) = 1.020466480087628827540899892492 absolute error = 0.6434171303052434068926436650981 relative error = 38.669599621413500600170666084516 % h = 0.001 y1[1] (analytic) = 1.6638836103928722344335435575901 y1[1] (numeric) = 1.6913901489807089022831717146687 absolute error = 0.0275065385878366678496281570786 relative error = 1.6531528056425707254547314116817 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.727 y2[1] (analytic) = 1.6646311142388397318427993746266 y2[1] (numeric) = 1.0171204832522735588378894605858 absolute error = 0.6475106309865661730049099140408 relative error = 38.898145387763186244814722778709 % h = 0.001 y1[1] (analytic) = 1.6646311142388397318427993746266 y1[1] (numeric) = 1.6922159781660923678294206487961 absolute error = 0.0275848639272526359866212741695 relative error = 1.6571157231952823655449705964713 % h = 0.001 TOP MAIN SOLVE Loop memory used=1880.6MB, alloc=4.6MB, time=236.63 NO POLE NO POLE x[1] = 0.728 y2[1] (analytic) = 1.6653779534537483763366637213347 y2[1] (numeric) = 1.0137544641745285140075060289925 absolute error = 0.6516234892792198623291576923422 relative error = 39.127663959274157775252189284428 % h = 0.001 y1[1] (analytic) = 1.6653779534537483763366637213347 y1[1] (numeric) = 1.6930412243508348663094279193084 absolute error = 0.0276632708970864899727641979737 relative error = 1.6610806477722936148329615598846 % h = 0.001 TOP MAIN SOLVE Loop memory used=1884.5MB, alloc=4.6MB, time=237.12 NO POLE NO POLE x[1] = 0.729 y2[1] (analytic) = 1.666124127290759015243091271684 y2[1] (numeric) = 1.0103683625398538734945174234725 absolute error = 0.6557557647509051417485738482115 relative error = 39.358157895307145350183012782672 % h = 0.001 y1[1] (analytic) = 1.666124127290759015243091271684 y1[1] (numeric) = 1.6938658866177647286001378590394 absolute error = 0.0277417593270057133570465873554 relative error = 1.6650475719426657959642577461777 % h = 0.001 TOP MAIN SOLVE Loop memory used=1888.3MB, alloc=4.6MB, time=237.62 NO POLE NO POLE x[1] = 0.73 y2[1] (analytic) = 1.6668696350036978737325941307615 y2[1] (numeric) = 1.0069621179535626879127390747971 absolute error = 0.6599075170501351858198550559644 relative error = 39.58962975821868704808427432036 % h = 0.001 y1[1] (analytic) = 1.6668696350036978737325941307615 y1[1] (numeric) = 1.6946899640501708224046071927945 absolute error = 0.027820329046472948672013062033 relative error = 1.6690164882877136669239286773831 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.731 y2[1] (analytic) = 1.6676144758470573009919544831147 y2[1] (numeric) = 1.0035356699408872334348052102694 absolute error = 0.6640788059061700675571492728453 relative error = 39.822082113364614060985714640775 % h = 0.001 y1[1] (analytic) = 1.6676144758470573009919544831147 y1[1] (numeric) = 1.6955134557318035445666734215334 absolute error = 0.0278989798847462435747189384187 relative error = 1.6729873894009634180060339249001 % h = 0.001 TOP MAIN SOLVE Loop memory used=1892.1MB, alloc=4.6MB, time=238.13 NO POLE NO POLE x[1] = 0.732 y2[1] (analytic) = 1.6683586490759965157318132803332 y2[1] (numeric) = 1.000088957947045457569180419953 absolute error = 0.6682696911289510581626328603802 relative error = 40.055517529103555507876199505886 % h = 0.001 y1[1] (analytic) = 1.6683586490759965157318132803332 y1[1] (numeric) = 1.6963363607468758130595041073585 absolute error = 0.0279777116708792973276908270253 relative error = 1.6769602678881107867765776051486 % h = 0.001 TOP MAIN SOLVE Loop memory used=1895.9MB, alloc=4.6MB, time=238.63 NO POLE NO POLE x[1] = 0.733 y2[1] (analytic) = 1.6691021539463423510273894603448 y2[1] (numeric) = 0.99662192133730751527002459282208 absolute error = 0.67248023260903483575736486752272 relative error = 40.289938576800462841544260481206 % h = 0.001 y1[1] (analytic) = 1.6691021539463423510273894603448 y1[1] (numeric) = 1.697158678180064058646977665749 absolute error = 0.0280565242337217076195882054042 relative error = 1.6809351163669792905788642129284 % h = 0.001 TOP MAIN SOLVE Loop memory used=1899.7MB, alloc=4.6MB, time=239.12 NO POLE NO POLE x[1] = 0.734 y2[1] (analytic) = 1.6698449897145899984915848577685 y2[1] (numeric) = 0.99313449939706239532542515905494 absolute error = 0.67671049031752760316615969871356 relative error = 40.525347830830153822925954573891 % h = 0.001 y1[1] (analytic) = 1.6698449897145899984915848577685 y1[1] (numeric) = 1.6979804071165092162168464536326 absolute error = 0.0281354174019192177252615958641 relative error = 1.6849119274674785761319074961217 % h = 0.001 TOP MAIN SOLVE Loop memory used=1903.5MB, alloc=4.6MB, time=239.61 NO POLE NO POLE x[1] = 0.735 y2[1] (analytic) = 1.6705871556379037517797306322801 y2[1] (numeric) = 0.98962663133188463696941155676507 absolute error = 0.68096052430601911481031907551503 relative error = 40.761747868580876037302422717378 % h = 0.001 y1[1] (analytic) = 1.6705871556379037517797306322801 y1[1] (numeric) = 1.6988015466418177157846331251301 absolute error = 0.02821439100391396400490249285 relative error = 1.6888906938315628857742671614274 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.736 y2[1] (analytic) = 1.671328650974117749425231710308 y2[1] (numeric) = 0.9860982562676011366630678647042 absolute error = 0.6852303947065166127621638456038 relative error = 40.999141270457889926957698991067 % h = 0.001 y1[1] (analytic) = 1.671328650974117749425231710308 y1[1] (numeric) = 1.6996220958420624731672114111343 absolute error = 0.0282934448679447237419797008263 relative error = 1.6928714081131896399074035194633 % h = 0.001 TOP MAIN SOLVE Loop memory used=1907.3MB, alloc=4.6MB, time=240.10 NO POLE NO POLE x[1] = 0.737 y2[1] (analytic) = 1.672069474981736717005366404475 y2[1] (numeric) = 0.98254931325035804498996060698892 absolute error = 0.68952016173137867201540579748608 relative error = 41.237530619887071315174535729876 % h = 0.001 y1[1] (analytic) = 1.672069474981736717005366404475 y1[1] (numeric) = 1.7004420538037838803250226642997 absolute error = 0.0283725788220471633196562598247 relative error = 1.6968540629782781351943477669603 % h = 0.001 TOP MAIN SOLVE Loop memory used=1911.2MB, alloc=4.6MB, time=240.60 NO POLE NO POLE x[1] = 0.738 y2[1] (analytic) = 1.6728096269199367086364990450493 y2[1] (numeric) = 0.97897974124668775361099984180012 absolute error = 0.69382988567324895502549920324918 relative error = 41.476918503318533396712270364236 % h = 0.001 y1[1] (analytic) = 1.6728096269199367086364990450493 y1[1] (numeric) = 1.7012614196139907953718796975213 absolute error = 0.028451792694054086735380652472 relative error = 1.7008386511046683580711854997618 % h = 0.001 TOP MAIN SOLVE Loop memory used=1915.0MB, alloc=4.6MB, time=241.12 NO POLE NO POLE x[1] = 0.739 y2[1] (analytic) = 1.6735491060485658477979641282533 y2[1] (numeric) = 0.97538947914357597222375279338957 absolute error = 0.69815962690498987557421133486373 relative error = 41.717307510230268170176073953324 % h = 0.001 y1[1] (analytic) = 1.6735491060485658477979641282533 y1[1] (numeric) = 1.7020801923601615322513096315681 absolute error = 0.0285310863115956844533455033148 relative error = 1.7048251651820799131305432901461 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1918.8MB, alloc=4.6MB, time=241.61 x[1] = 0.74 y2[1] (analytic) = 1.6742879116281450674838811576082 y2[1] (numeric) = 0.97177846574852889547113047570597 absolute error = 0.70250944587961617201275068190223 relative error = 41.958700233131807287951294919765 % h = 0.001 y1[1] (analytic) = 1.6742879116281450674838811576082 y1[1] (numeric) = 1.7028983711302448500783876562124 absolute error = 0.0286104595020997825945064986042 relative error = 1.7088135979120710659379527818279 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.741 y2[1] (analytic) = 1.6750260429198688496821600265609 y2[1] (numeric) = 0.96814663978964045974426898662966 absolute error = 0.70687940313022838993789103993124 relative error = 42.201099267567902299640050419077 % h = 0.001 y1[1] (analytic) = 1.6750260429198688496821600265609 y1[1] (numeric) = 1.7037159550126609421460137989572 absolute error = 0.0286899120927920924638537723963 relative error = 1.7128039420079978998436437922155 % h = 0.001 TOP MAIN SOLVE Loop memory used=1922.6MB, alloc=4.6MB, time=242.11 NO POLE NO POLE x[1] = 0.742 y2[1] (analytic) = 1.6757634991856059641799574634498 y2[1] (numeric) = 0.96449393991565968982432842428683 absolute error = 0.71126955926994627435562903916297 relative error = 42.444507212122224265199728007956 % h = 0.001 y1[1] (analytic) = 1.6757634991856059641799574634498 y1[1] (numeric) = 1.7045329430963024245945849863118 absolute error = 0.028769443910696460414627522862 relative error = 1.7167961901949735863539874000457 % h = 0.001 TOP MAIN SOLVE Loop memory used=1926.4MB, alloc=4.6MB, time=242.60 NO POLE NO POLE x[1] = 0.743 y2[1] (analytic) = 1.676500279687900206694845733414 y2[1] (numeric) = 0.96082030469605813530783369130578 absolute error = 0.71567997499184207138701204210822 relative error = 42.688926668421082714244647708391 % h = 0.001 y1[1] (analytic) = 1.676500279687900206694845733414 y1[1] (numeric) = 1.7053493344705353247440148745009 absolute error = 0.0288490547826351180491691410869 relative error = 1.7207903352098277686284719734934 % h = 0.001 TOP MAIN SOLVE Loop memory used=1930.2MB, alloc=4.6MB, time=243.09 NO POLE NO POLE x[1] = 0.744 y2[1] (analytic) = 1.6772363836899711363309554661397 y2[1] (numeric) = 0.95712567262109739676008280928609 absolute error = 0.72011071106887373957087265685361 relative error = 42.934360241137163928232805066073 % h = 0.001 y1[1] (analytic) = 1.6772363836899711363309554661397 y1[1] (numeric) = 1.7061651282252000690870541195135 absolute error = 0.0289287445352289327560986533738 relative error = 1.7247863698010660576697495945923 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.745 y2[1] (analytic) = 1.6779718104557148123593551533613 y2[1] (numeric) = 0.95340998210189674154104976428123 absolute error = 0.72456182835381807081830538908007 relative error = 43.180810537993288522519375208431 % h = 0.001 y1[1] (analytic) = 1.6779718104557148123593551533613 y1[1] (numeric) = 1.7069803234506124709428639505049 absolute error = 0.0290085129948976585835087971436 relative error = 1.7287842867288296407759373961996 % h = 0.001 TOP MAIN SOLVE Loop memory used=1934.0MB, alloc=4.6MB, time=243.58 NO POLE NO POLE x[1] = 0.746 y2[1] (analytic) = 1.6787065592497045303219305358001 y2[1] (numeric) = 0.94967317147050080924811034485266 absolute error = 0.72903338777920372107382019094744 relative error = 43.4282801697661883055175120276 % h = 0.001 y1[1] (analytic) = 1.6787065592497045303219305358001 y1[1] (numeric) = 1.7077949192375647177697961057606 absolute error = 0.0290883599878601874478655699605 relative error = 1.7327840787648550018259979827709 % h = 0.001 TOP MAIN SOLVE Loop memory used=1937.9MB, alloc=4.6MB, time=244.08 NO POLE NO POLE x[1] = 0.747 y2[1] (analytic) = 1.6794406293371915574580277757215 y2[1] (numeric) = 0.94591517897994740671982091734416 absolute error = 0.73352545035724415073820685837734 relative error = 43.676771750290302392464931224751 % h = 0.001 y1[1] (analytic) = 1.6794406293371915574580277757215 y1[1] (numeric) = 1.70860891467732635813633238671 absolute error = 0.0291682853401348006783046109885 relative error = 1.7367857386924337529706553912174 % h = 0.001 TOP MAIN SOLVE Loop memory used=1941.7MB, alloc=4.6MB, time=244.57 NO POLE NO POLE x[1] = 0.748 y2[1] (analytic) = 1.6801740199841058674531249885306 y2[1] (numeric) = 0.94213594280433539254488160855446 absolute error = 0.73803807717977047490824337997614 relative error = 43.926287896461592551551826804074 % h = 0.001 y1[1] (analytic) = 1.6801740199841058674531249885306 y1[1] (numeric) = 1.709422308861645288349137282846 absolute error = 0.0292482888775394208960122943154 relative error = 1.7407892593063725773029279978236 % h = 0.001 TOP MAIN SOLVE Loop memory used=1945.5MB, alloc=4.6MB, time=245.06 NO POLE NO POLE x[1] = 0.749 y2[1] (analytic) = 1.6809067304570568745087973847929 y2[1] (numeric) = 0.93833540103889265102031693406003 absolute error = 0.74257132941816422348848045073287 relative error = 44.176831228241377760421843417385 % h = 0.001 y1[1] (analytic) = 1.6809067304570568745087973847929 y1[1] (numeric) = 1.7102351008827487387371773188593 absolute error = 0.0293283704256918642283799340664 relative error = 1.7447946334129532820839774268388 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.75 y2[1] (analytic) = 1.6816387600233341667332419527799 y2[1] (numeric) = 0.9345134917000441555028085211639 absolute error = 0.747125268323290011230433431616 relative error = 44.428404368660187951313117426112 % h = 0.001 y1[1] (analytic) = 1.6816387600233341667332419527799 y1[1] (numeric) = 1.7110472898333442595908609748349 absolute error = 0.029408529810010092857619022055 relative error = 1.7488018538298929621015828994289 % h = 0.001 TOP MAIN SOLVE Loop memory used=1949.3MB, alloc=4.6MB, time=245.55 NO POLE NO POLE x[1] = 0.751 y2[1] (analytic) = 1.6823701079509082388516282910726 y2[1] (numeric) = 0.93067015272548012109701622892554 absolute error = 0.75169995522542811775461206214706 relative error = 44.68100994382163692336081332892 % h = 0.001 y1[1] (analytic) = 1.6823701079509082388516282910726 y1[1] (numeric) = 1.7118588748066207067551532309859 absolute error = 0.0294887668557124679035249399133 relative error = 1.752810913386304272740153614288 % h = 0.001 TOP MAIN SOLVE Loop memory used=1953.1MB, alloc=4.6MB, time=246.04 NO POLE NO POLE x[1] = 0.752 y2[1] (analytic) = 1.6831007735084312242355428809353 y2[1] (numeric) = 0.92680532197422424662462566406733 absolute error = 0.75629545153420697761091721686797 relative error = 44.934650582906314400836124936253 % h = 0.001 y1[1] (analytic) = 1.6831007735084312242355428809353 y1[1] (numeric) = 1.7126698548962492268756189901101 absolute error = 0.0295690813878180026400761091748 relative error = 1.756821804922655812342787705593 % h = 0.001 TOP MAIN SOLVE Loop memory used=1956.9MB, alloc=4.6MB, time=246.55 NO POLE NO POLE x[1] = 0.753 y2[1] (analytic) = 1.6838307559652376262507947690758 y2[1] (numeric) = 0.92291893722670204581776183085994 absolute error = 0.76091181873853558043303293821586 relative error = 45.189328918175697216349387963791 % h = 0.001 y1[1] (analytic) = 1.6838307559652376262507947690758 y1[1] (numeric) = 1.7134802291963842422963498337534 absolute error = 0.0296494732311466160455550646776 relative error = 1.7608345212907326134474751157561 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=1960.7MB, alloc=4.6MB, time=247.05 x[1] = 0.754 y2[1] (analytic) = 1.6845600545913450489228513130465 y2[1] (numeric) = 0.91901093618480926768031043546804 absolute error = 0.76554911840653578124254087757846 relative error = 45.445047584976079598296768144594 % h = 0.001 y1[1] (analytic) = 1.6845600545913450489228513130465 y1[1] (numeric) = 1.7142899968016644356087287719486 absolute error = 0.0297299422103193866858774589021 relative error = 1.764849055353596742481123382671 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.755 y2[1] (analytic) = 1.6852886686574549269191733239135 y2[1] (numeric) = 0.91508125647198040596059019079385 absolute error = 0.77020741218547452095858313311965 relative error = 45.701809221742522542080952075682 % h = 0.001 y1[1] (analytic) = 1.6852886686574549269191733239135 y1[1] (numeric) = 1.7150991568072137338499878513673 absolute error = 0.0298104881497588069308145274538 relative error = 1.7688653999855480074966599073943 % h = 0.001 TOP MAIN SOLVE Loop memory used=1964.6MB, alloc=4.6MB, time=247.56 NO POLE NO POLE x[1] = 0.756 y2[1] (analytic) = 1.6860165974349532548477196239165 y2[1] (numeric) = 0.91112983563325729767872133669533 absolute error = 0.77488676180169595716899828722117 relative error = 45.959616470002822244886382342192 % h = 0.001 y1[1] (analytic) = 1.6860165974349532548477196239165 y1[1] (numeric) = 1.7159077083086422923505136927803 absolute error = 0.0298911108736890375027940688638 relative error = 1.7728835480720847735400317728577 % h = 0.001 TOP MAIN SOLVE Loop memory used=1968.4MB, alloc=4.6MB, time=248.05 NO POLE NO POLE x[1] = 0.757 y2[1] (analytic) = 1.686743840195911315870891720679 y2[1] (numeric) = 0.90715661113535781065193750268301 absolute error = 0.77958722906055350521895421799599 relative error = 46.218471974381497584038849497928 % h = 0.001 y1[1] (analytic) = 1.686743840195911315870891720679 y1[1] (numeric) = 1.7167156504020474782288562358624 absolute error = 0.0299718102061361623579645151834 relative error = 1.7769034925098648852354846590866 % h = 0.001 TOP MAIN SOLVE Loop memory used=1972.2MB, alloc=4.6MB, time=248.55 NO POLE NO POLE x[1] = 0.758 y2[1] (analytic) = 1.6874703962130864096341899840818 y2[1] (numeric) = 0.90316152036674461996098999592038 absolute error = 0.78430887584634178967319998816142 relative error = 46.478378382603796619227686693102 % h = 0.001 y1[1] (analytic) = 1.6874703962130864096341899840818 y1[1] (numeric) = 1.7175229821840148535333961776064 absolute error = 0.0300525859709284438992061935246 relative error = 1.7809252262066666961790558804283 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.759 y2[1] (analytic) = 1.6881962647599225795088533972068 y2[1] (numeric) = 0.89914450063769407330069559667245 absolute error = 0.78905176412222850620815780053435 relative error = 46.739338345499722099116413571086 % h = 0.001 y1[1] (analytic) = 1.6881962647599225795088533972068 y1[1] (numeric) = 1.7183297027516191580296267999246 absolute error = 0.0301334379916965785207734027178 relative error = 1.7849487420813502047317630867296 % h = 0.001 TOP MAIN SOLVE Loop memory used=1976.0MB, alloc=4.6MB, time=249.03 NO POLE NO POLE x[1] = 0.76 y2[1] (analytic) = 1.6889214451105513391477556387697 y2[1] (numeric) = 0.89510548918036514515758098637081 absolute error = 0.79381595593018619399017465239889 relative error = 47.00135451700807595311444992029 % h = 0.001 y1[1] (analytic) = 1.6889214451105513391477556387697 y1[1] (numeric) = 1.7191358112024252916320060924148 absolute error = 0.0302143660918739524842504536451 relative error = 1.788974033063818295805509757417 % h = 0.001 TOP MAIN SOLVE Loop memory used=1979.8MB, alloc=4.6MB, time=249.53 NO POLE NO POLE x[1] = 0.761 y2[1] (analytic) = 1.6896459365397923983538309412086 y2[1] (numeric) = 0.89104442314886847975747902029681 absolute error = 0.79860151339092391859635192091179 relative error = 47.264429554180522749328471853633 % h = 0.001 y1[1] (analytic) = 1.6896459365397923983538309412086 y1[1] (numeric) = 1.7199413066344892964793352877551 absolute error = 0.0302953700946968981255043465465 relative error = 1.7930010920949780882362613066644 % h = 0.001 TOP MAIN SOLVE Loop memory used=1983.6MB, alloc=4.6MB, time=250.02 NO POLE NO POLE x[1] = 0.762 y2[1] (analytic) = 1.6903697383231543882603038560603 y2[1] (numeric) = 0.88696123961933552272583418763226 absolute error = 0.80340849870381886553446966842804 relative error = 47.528566117185672099957119357548 % h = 0.001 y1[1] (analytic) = 1.6903697383231543882603038560603 y1[1] (numeric) = 1.7207461881463593386526201397594 absolute error = 0.0303764498232049503923162836991 relative error = 1.7970299121267023873405714424169 % h = 0.001 TOP MAIN SOLVE Loop memory used=1987.5MB, alloc=4.6MB, time=250.52 NO POLE NO POLE x[1] = 0.763 y2[1] (analytic) = 1.6910928497368355858219977464571 y2[1] (numeric) = 0.88285587558998774140337677639462 absolute error = 0.80823697414684784441862097006248 relative error = 47.79376686931317999563708924103 % h = 0.001 y1[1] (analytic) = 1.6910928497368355858219977464571 y1[1] (numeric) = 1.7215504548370766895343714877852 absolute error = 0.0304576051002411037123737413281 relative error = 1.8010604861217912422530574137337 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.764 y2[1] (analytic) = 1.6918152700577246376169975154955 y2[1] (numeric) = 0.8787282679812059337597274796663 absolute error = 0.8130870020765187038572700358292 relative error = 48.06003447697786905049216713124 % h = 0.001 y1[1] (analytic) = 1.6918152700577246376169975154955 y1[1] (numeric) = 1.7223541058061767068083018659242 absolute error = 0.0305388357484520691913043504287 relative error = 1.8050928070539336076439349721412 % h = 0.001 TOP MAIN SOLVE Loop memory used=1991.3MB, alloc=4.6MB, time=251.00 NO POLE NO POLE x[1] = 0.765 y2[1] (analytic) = 1.6925369985634012829579427688738 y2[1] (numeric) = 0.87457835363559962584739644265029 absolute error = 0.81795864492780165711054632622351 relative error = 48.327371609723867639879471489008 % h = 0.001 y1[1] (analytic) = 1.6925369985634012829579427688738 y1[1] (numeric) = 1.7231571401536898150983751312361 absolute error = 0.0306201415902885321404323623623 relative error = 1.8091268679076691094172292954893 % h = 0.001 TOP MAIN SOLVE Loop memory used=1995.1MB, alloc=4.6MB, time=251.49 NO POLE NO POLE x[1] = 0.766 y2[1] (analytic) = 1.6932580345321370763122283005656 y2[1] (numeric) = 0.87040606931807655773854305754236 absolute error = 0.82285196521406051857368524302324 relative error = 48.59578094022876791306910691224 % h = 0.001 y1[1] (analytic) = 1.6932580345321370763122283005656 y1[1] (numeric) = 1.7239595569801424862461663021965 absolute error = 0.0307015224480054099339380016309 relative error = 1.8131626616783499139917768084535 % h = 0.001 TOP MAIN SOLVE Loop memory used=1998.9MB, alloc=4.6MB, time=251.99 NO POLE NO POLE x[1] = 0.767 y2[1] (analytic) = 1.6939783772428961090303894813906 y2[1] (numeric) = 0.86621135171591225788676516510818 absolute error = 0.82776702552698385114362431628242 relative error = 48.865265144307802663334558489012 % h = 0.001 y1[1] (analytic) = 1.6939783772428961090303894813906 y1[1] (numeric) = 1.7247613553865582192254890165295 absolute error = 0.0307829781436621101950995351389 relative error = 1.8172001813721027007686248144064 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2002.7MB, alloc=4.6MB, time=252.50 x[1] = 0.768 y2[1] (analytic) = 1.6946980259753357303819508221551 y2[1] (numeric) = 0.86199413743881970585608871829726 absolute error = 0.83270388853651602452586210385784 relative error = 49.135826900918041038171508860744 % h = 0.001 y1[1] (analytic) = 1.6946980259753357303819508221551 y1[1] (numeric) = 1.7255625344744585196932482366772 absolute error = 0.0308645084991227893112974145221 relative error = 1.8212394200057907373899211603307 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.769 y2[1] (analytic) = 1.6954169800098072678980166755753 y2[1] (numeric) = 0.85775436301901908335923140431957 absolute error = 0.83766261699078818453878527125573 relative error = 49.407468892162603072602330139866 % h = 0.001 y1[1] (analytic) = 1.6954169800098072678980166755753 y1[1] (numeric) = 1.7263630933458638791754760513286 absolute error = 0.0309461133360566112774593757533 relative error = 1.825280370606976057395864820622 % h = 0.001 TOP MAIN SOLVE Loop memory used=2006.5MB, alloc=4.6MB, time=252.84 NO POLE NO POLE x[1] = 0.77 y2[1] (analytic) = 1.6961352386273567470198837344522 y2[1] (numeric) = 0.85349196491130761354711620745988 absolute error = 0.84264327371604913347276752699232 relative error = 49.680193803294893028762299050753 % h = 0.001 y1[1] (analytic) = 1.6961352386273567470198837344522 y1[1] (numeric) = 1.7271630311032947538875086426826 absolute error = 0.0310277924759380068676249082304 relative error = 1.8293230262138817398877603385897 % h = 0.001 TOP MAIN SOLVE Loop memory used=2010.3MB, alloc=4.6MB, time=253.05 NO POLE NO POLE x[1] = 0.771 y2[1] (analytic) = 1.696852801109725610052955677546 y2[1] (numeric) = 0.84920687949312948849151342561442 absolute error = 0.84764592161659612156144225193158 relative error = 49.954004322722851525201610757497 % h = 0.001 y1[1] (analytic) = 1.696852801109725610052955677546 y1[1] (numeric) = 1.727962346849772543187262711458 absolute error = 0.031109545740046933134307033912 relative error = 1.8333673798753542908066845368534 % h = 0.001 TOP MAIN SOLVE Loop memory used=2014.2MB, alloc=4.6MB, time=253.25 NO POLE NO POLE x[1] = 0.772 y2[1] (analytic) = 1.6975696667393514344252410092942 y2[1] (numeric) = 0.84489904306464588480259222920929 absolute error = 0.85267062367470554962264878008491 relative error = 50.228903142013226439574529912444 % h = 0.001 y1[1] (analytic) = 1.6975696667393514344252410092942 y1[1] (numeric) = 1.7287610396888205676605698750889 absolute error = 0.0311913729494691332353288657947 relative error = 1.837413424650826125438732830864 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.773 y2[1] (analytic) = 1.6982858347993686502497158349369 y2[1] (numeric) = 0.84056839184880506732306547190483 absolute error = 0.85771744295056358292665036303207 relative error = 50.504892955895862568623521585743 % h = 0.001 y1[1] (analytic) = 1.6982858347993686502497158349369 y1[1] (numeric) = 1.72955910872446504683752777905 absolute error = 0.0312732739250963965878119441131 relative error = 1.8414611536102781517592648832847 % h = 0.001 TOP MAIN SOLVE Loop memory used=2018.0MB, alloc=4.6MB, time=253.46 NO POLE NO POLE x[1] = 0.774 y2[1] (analytic) = 1.6990013045736092571898340087447 y2[1] (numeric) = 0.83621486199141258084051412841016 absolute error = 0.86278644258219667634931988033454 relative error = 50.781976462268010029601954973952 % h = 0.001 y1[1] (analytic) = 1.6990013045736092571898340087447 y1[1] (numeric) = 1.7303565530612360765388268868512 absolute error = 0.0313552484876268193489928781065 relative error = 1.8455105598342024542300152525001 % h = 0.001 TOP MAIN SOLVE Loop memory used=2021.8MB, alloc=4.6MB, time=253.67 NO POLE NO POLE x[1] = 0.775 y2[1] (analytic) = 1.6997160753466035406274677899009 y2[1] (numeric) = 0.83183838956120152975938044593172 absolute error = 0.86787768578540201086808734396918 relative error = 51.060156362198651387513974166654 % h = 0.001 y1[1] (analytic) = 1.6997160753466035406274677899009 y1[1] (numeric) = 1.7311533718041686058510121409179 absolute error = 0.031437296457565065223544351017 relative error = 1.8495616364135650776643741452379 % h = 0.001 TOP MAIN SOLVE Loop memory used=2025.6MB, alloc=4.6MB, time=253.88 NO POLE NO POLE x[1] = 0.776 y2[1] (analytic) = 1.7004301464035807871325628381541 y2[1] (numeric) = 0.82743891054990294567402165236404 absolute error = 0.87299123585367784145854118579006 relative error = 51.339435359932847492784387780535 % h = 0.001 y1[1] (analytic) = 1.7004301464035807871325628381541 y1[1] (numeric) = 1.7319495640588034137296389143371 absolute error = 0.031519417655222626597076076183 relative error = 1.8536143764497689107775764125596 % h = 0.001 TOP MAIN SOLVE Loop memory used=2029.4MB, alloc=4.6MB, time=254.09 NO POLE NO POLE x[1] = 0.777 y2[1] (analytic) = 1.7011435170304699992337920796493 y2[1] (numeric) = 0.82301636087231624278411886640459 absolute error = 0.87812715615815375644967321324471 relative error = 51.619816162896102014204947933947 % h = 0.001 y1[1] (analytic) = 1.7011435170304699992337920796493 y1[1] (numeric) = 1.7327451289311880852292829022953 absolute error = 0.031601611900718085995490822646 relative error = 1.8576687730546166690399635588165 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.778 y2[1] (analytic) = 1.7018561865139006094894936723398 y2[1] (numeric) = 0.81857067636637976109363870244252 absolute error = 0.88328551014752084839585496989728 relative error = 51.901301481698744652236173789667 % h = 0.001 y1[1] (analytic) = 1.7018561865139006094894936723398 y1[1] (numeric) = 1.7335400655278779873593638319674 absolute error = 0.0316838790139773778698701596276 relative error = 1.8617248193502739764529037962048 % h = 0.001 TOP MAIN SOLVE Loop memory used=2033.2MB, alloc=4.6MB, time=254.29 NO POLE NO POLE x[1] = 0.779 y2[1] (analytic) = 1.7025681541412031938581790001042 y2[1] (numeric) = 0.81410179279324139733444795643781 absolute error = 0.88846636134796179652373104366639 relative error = 52.183894030140333017975930675189 % h = 0.001 y1[1] (analytic) = 1.7025681541412031938581790001042 y1[1] (numeric) = 1.7343343729559372445647431006307 absolute error = 0.0317662188147340507065641005265 relative error = 1.8657825084692325458683691010609 % h = 0.001 TOP MAIN SOLVE Loop memory used=2037.0MB, alloc=4.6MB, time=254.50 NO POLE NO POLE x[1] = 0.78 y2[1] (analytic) = 1.7032794192004101843678973251179 y2[1] (numeric) = 0.80960964583732932355558469817741 absolute error = 0.89366977336308086081231262694049 relative error = 52.467596525214073163337307509029 % h = 0.001 y1[1] (analytic) = 1.7032794192004101843678973251179 y1[1] (numeric) = 1.7351280503229397138300556838803 absolute error = 0.0318486311225295294621583587624 relative error = 1.8698418335542734574745758433209 % h = 0.001 TOP MAIN SOLVE Loop memory used=2040.9MB, alloc=4.6MB, time=254.70 NO POLE NO POLE x[1] = 0.781 y2[1] (analytic) = 1.7039899809802565810837444291757 y2[1] (numeric) = 0.80509417110642279331909208037361 absolute error = 0.89889580987383378776465234880209 relative error = 52.75241168711125874820894780655 % h = 0.001 y1[1] (analytic) = 1.7039899809802565810837444291757 y1[1] (numeric) = 1.7359210967369699594067368890046 absolute error = 0.0319311157567133783229924598289 relative error = 1.8739027877584305350714968954003 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2044.7MB, alloc=4.6MB, time=254.91 x[1] = 0.782 y2[1] (analytic) = 1.7046998387701806633728032765141 y2[1] (numeric) = 0.80055530413172303544322420616083 absolute error = 0.90414453463845762792957907035327 relative error = 53.038342239225728830600887773568 % h = 0.001 y1[1] (analytic) = 1.7046998387701806633728032765141 y1[1] (numeric) = 1.7367135113066242271617047628521 absolute error = 0.032013672536443563788901486338 relative error = 1.8779653642449538197614482119293 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.783 y2[1] (analytic) = 1.705408991860324700465805433254 y2[1] (numeric) = 0.79599298036792423523373647375573 absolute error = 0.90941601149240046523206895949827 relative error = 53.325390908158344266008143762192 % h = 0.001 y1[1] (analytic) = 1.705408991860324700465805433254 y1[1] (numeric) = 1.7375052931410114185466591988698 absolute error = 0.0320963012806867180808537656158 relative error = 1.8820295561872731406813417346342 % h = 0.001 TOP MAIN SOLVE Loop memory used=2048.5MB, alloc=4.6MB, time=255.11 NO POLE NO POLE x[1] = 0.784 y2[1] (analytic) = 1.70611743954153566131480268186 y2[1] (numeric) = 0.7914071351932846031438759404759 absolute error = 0.9147103043482510581709267413841 relative error = 53.61356042372148270245277547848 % h = 0.001 y1[1] (analytic) = 1.70611743954153566131480268186 y1[1] (numeric) = 1.7382964413497540641869590244347 absolute error = 0.0321790018082184028721563425747 relative error = 1.8860953567689617824045791479641 % h = 0.001 TOP MAIN SOLVE Loop memory used=2052.3MB, alloc=4.6MB, time=255.32 NO POLE NO POLE x[1] = 0.785 y2[1] (analytic) = 1.7068251811053659237461389730047 y2[1] (numeric) = 0.78679770390969753080359041806942 absolute error = 0.92002747719566839294254855493528 relative error = 53.90285351894355215789293559108 % h = 0.001 y1[1] (analytic) = 1.7068251811053659237461389730047 y1[1] (numeric) = 1.739086955042989297089038587118 absolute error = 0.0322617739376233733428996141133 relative error = 1.890162759183700248641937517869 % h = 0.001 TOP MAIN SOLVE Loop memory used=2056.1MB, alloc=4.6MB, time=255.53 NO POLE NO POLE x[1] = 0.786 y2[1] (analytic) = 1.707532215844073982908013561925 y2[1] (numeric) = 0.78216462174276283435837822749528 absolute error = 0.92536759410131114854963533442972 relative error = 54.193272930073523166914505566207 % h = 0.001 y1[1] (analytic) = 1.707532215844073982908013561925 y1[1] (numeric) = 1.7398768333313698254653255971281 absolute error = 0.0323446174872958425573120352031 relative error = 1.8942317566352401218721682183088 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.787 y2[1] (analytic) = 1.7082385430506251590119268817658 y2[1] (numeric) = 0.77750782384185808505810380401802 absolute error = 0.93073071920876707395382307774778 relative error = 54.484821396585479483847316396718 % h = 0.001 y1[1] (analytic) = 1.7082385430506251590119268817658 y1[1] (numeric) = 1.7406660753260649051756222228669 absolute error = 0.0324275322754397461636953411011 relative error = 1.8983023423373680185343948154537 % h = 0.001 TOP MAIN SOLVE Loop memory used=2059.9MB, alloc=4.6MB, time=255.73 NO POLE NO POLE x[1] = 0.788 y2[1] (analytic) = 1.7089441620186923043673014125252 y2[1] (numeric) = 0.77282724528021002703600765284285 absolute error = 0.93611691673848227733129375968235 relative error = 54.777501661183187329673666128961 % h = 0.001 y1[1] (analytic) = 1.7089441620186923043673014125252 y1[1] (numeric) = 1.7414546801387613117839116773063 absolute error = 0.0325105181200690074166102647811 relative error = 1.9023745095138696394157537665045 % h = 0.001 TOP MAIN SOLVE Loop memory used=2063.7MB, alloc=4.6MB, time=255.94 NO POLE NO POLE x[1] = 0.789 y2[1] (analytic) = 1.7096490720426565097085705110381 y2[1] (numeric) = 0.76812282105496608221804251162478 absolute error = 0.94152625098769042749052799941332 relative error = 55.071316469804683170321878425168 % h = 0.001 y1[1] (analytic) = 1.7096490720426565097085705110381 y1[1] (numeric) = 1.7422426468816643122295527747479 absolute error = 0.0325935748390078025209822637098 relative error = 1.9064482513984939148690739270923 % h = 0.001 TOP MAIN SOLVE Loop memory used=2067.6MB, alloc=4.6MB, time=256.15 NO POLE NO POLE x[1] = 0.79 y2[1] (analytic) = 1.7103532724176078098140288749692 y2[1] (numeric) = 0.76339448608726594230257097914112 absolute error = 0.94695878633034186751145789582808 relative error = 55.366268571626880014162002514054 % h = 0.001 y1[1] (analytic) = 1.7103532724176078098140288749692 y1[1] (numeric) = 1.7430299746674986361118251804689 absolute error = 0.0326767022498908262977963054997 relative error = 1.9105235612349172444967369758949 % h = 0.001 TOP MAIN SOLVE Loop memory used=2071.4MB, alloc=4.6MB, time=256.35 NO POLE NO POLE x[1] = 0.791 y2[1] (analytic) = 1.711056762439345888415739022023 y2[1] (numeric) = 0.75864217522231324775036331932527 absolute error = 0.95241458721703264066537570269773 relative error = 55.662360719070192216744439438497 % h = 0.001 y1[1] (analytic) = 1.711056762439345888415739022023 y1[1] (numeric) = 1.7438166626095094465867883197784 absolute error = 0.0327599001701635581710492977554 relative error = 1.9146004322767078309382009856201 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.792 y2[1] (analytic) = 1.7117595414043807823997888745235 y2[1] (numeric) = 0.75386582322944735372473764682562 absolute error = 0.95789371817493342867505122769788 relative error = 55.959595667803178781045297145157 % h = 0.001 y1[1] (analytic) = 1.7117595414043807823997888745235 y1[1] (numeric) = 1.7446027098214633108754171581173 absolute error = 0.0328431684170825284756282835938 relative error = 1.9186788577872901074000035236035 % h = 0.001 TOP MAIN SOLVE Loop memory used=2075.2MB, alloc=4.6MB, time=256.55 NO POLE NO POLE x[1] = 0.793 y2[1] (analytic) = 1.7124616086099335852961962491652 y2[1] (numeric) = 0.74906536480221518292158824438061 absolute error = 0.96339624380771840237460800478459 relative error = 56.257976176747205141704632293556 % h = 0.001 y1[1] (analytic) = 1.7124616086099335852961962491652 y1[1] (numeric) = 1.7453881154176491703819783100219 absolute error = 0.0329265068077155850857820608567 relative error = 1.9227588310399092585683888801748 % h = 0.001 TOP MAIN SOLVE Loop memory used=2079.0MB, alloc=4.6MB, time=256.76 NO POLE NO POLE x[1] = 0.794 y2[1] (analytic) = 1.7131629633539371500577567620875 y2[1] (numeric) = 0.74424073455844316522895135369391 absolute error = 0.96892222879549398482880540839359 relative error = 56.557505008081123421965434286345 % h = 0.001 y1[1] (analytic) = 1.7131629633539371500577567620875 y1[1] (numeric) = 1.7461728785128793104216101820454 absolute error = 0.0330099151589421603638534199579 relative error = 1.926840345317595834546026326775 % h = 0.001 TOP MAIN SOLVE Loop memory used=2082.8MB, alloc=4.6MB, time=256.97 NO POLE NO POLE x[1] = 0.795 y2[1] (analytic) = 1.713863604935036791127132370486 y2[1] (numeric) = 0.73939186704030926415566142025652 absolute error = 0.97447173789472752697147095022948 relative error = 56.858184927245971152242251512183 % h = 0.001 y1[1] (analytic) = 1.713863604935036791127132370486 y1[1] (numeric) = 1.7469569982224903295560711030868 absolute error = 0.0330933932874535384289387326008 relative error = 1.9309233939131304574556027248953 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2086.6MB, alloc=4.6MB, time=257.17 x[1] = 0.796 y2[1] (analytic) = 1.7145635326525909857914784837286 y2[1] (numeric) = 0.7345186967144150899685544587993 absolute error = 0.9800448359381758958229240249293 relative error = 57.16001870294968843946875569955 % h = 0.001 y1[1] (analytic) = 1.7145635326525909857914784837286 y1[1] (numeric) = 1.7477404736623441085366196450147 absolute error = 0.0331769410097531227451411612861 relative error = 1.9350079701290086203543833695507 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.797 y2[1] (analytic) = 1.7152627458066720748239082894086 y2[1] (numeric) = 0.72962115797185809947757893987442 absolute error = 0.98564158783481397534632934953418 relative error = 57.463009107171853576593292135312 % h = 0.001 y1[1] (analytic) = 1.7152627458066720748239082894086 y1[1] (numeric) = 1.7485233039488287788529915869957 absolute error = 0.0332605581421567040290832975871 relative error = 1.9390940672774055781051396832547 % h = 0.001 TOP MAIN SOLVE Loop memory used=2090.5MB, alloc=4.6MB, time=257.39 NO POLE NO POLE x[1] = 0.798 y2[1] (analytic) = 1.7159612436980669624110936529281 y2[1] (numeric) = 0.72469918512830388240807837956136 absolute error = 0.99126205856976308000301527336674 relative error = 57.767158915168437081810575815535 % h = 0.001 y1[1] (analytic) = 1.7159612436980669624110936529281 y1[1] (numeric) = 1.7493054881988596908874382285408 absolute error = 0.0333442445007927284763445756127 relative error = 1.943181678680141329850141305796 % h = 0.001 TOP MAIN SOLVE Loop memory used=2094.3MB, alloc=4.6MB, time=257.60 NO POLE NO POLE x[1] = 0.799 y2[1] (analytic) = 1.7166590256282778153663026630705 y2[1] (numeric) = 0.71975271242405853429941364357663 absolute error = 0.99690631320421928106688901949387 relative error = 58.07247090547657415733617085686 % h = 0.001 y1[1] (analytic) = 1.7166590256282778153663026630705 y1[1] (numeric) = 1.7500870255298803816727910089693 absolute error = 0.0334279999016025663064883458988 relative error = 1.9472707976686456927362032778368 % h = 0.001 TOP MAIN SOLVE Loop memory used=2098.1MB, alloc=4.6MB, time=257.81 NO POLE NO POLE x[1] = 0.8 y2[1] (analytic) = 1.7173560908995227616271746105814 y2[1] (numeric) = 0.71478167402414111586899685424005 absolute error = 1.0025744168753816457581777563414 relative error = 58.378947859919355557748237172698 % h = 0.001 y1[1] (analytic) = 1.7173560908995227616271746105814 y1[1] (numeric) = 1.7508679150598635422535176447609 absolute error = 0.0335118241603407806263430341795 relative error = 1.9513614175839234665400664197362 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.801 y2[1] (analytic) = 1.718052438814736588037533902042 y2[1] (numeric) = 0.70978600401835619878071271391871 absolute error = 1.0082664347963803892568211881233 relative error = 58.686592563610636858138248956963 % h = 0.001 y1[1] (analytic) = 1.718052438814736588037533902042 y1[1] (numeric) = 1.7516481559073119846487352511158 absolute error = 0.0335957170925753966112013490738 relative error = 1.9554535317765196888446706865105 % h = 0.001 TOP MAIN SOLVE Loop memory used=2101.9MB, alloc=4.6MB, time=258.01 NO POLE NO POLE x[1] = 0.802 y2[1] (analytic) = 1.7187480686775714374125451272789 y2[1] (numeric) = 0.70476563642136649775660703183595 absolute error = 1.013982432256204939655938095443 relative error = 58.9954078049598661125289883458 % h = 0.001 y1[1] (analytic) = 1.7187480686775714374125451272789 y1[1] (numeric) = 1.7524277471912596084161461699787 absolute error = 0.0336796785136881710036010426998 relative error = 1.9595471336064849804181572628458 % h = 0.001 TOP MAIN SOLVE Loop memory used=2105.7MB, alloc=4.6MB, time=258.22 NO POLE NO POLE x[1] = 0.803 y2[1] (analytic) = 1.7194429797923975048865122152131 y2[1] (numeric) = 0.69972050517276558897062626260139 absolute error = 1.0197224746196319159158859526117 relative error = 59.305396375676929893234099150837 % h = 0.001 y1[1] (analytic) = 1.7194429797923975048865122152131 y1[1] (numeric) = 1.7532066880312723668158624837979 absolute error = 0.0337637082388748619293502685848 relative error = 1.9636422164433409804487054740339 % h = 0.001 TOP MAIN SOLVE Loop memory used=2109.5MB, alloc=4.6MB, time=258.43 NO POLE NO POLE x[1] = 0.804 y2[1] (analytic) = 1.7201371714643037335426253304078 y2[1] (numeric) = 0.69465054413715071466309593459281 absolute error = 1.025486627327153018879529395815 relative error = 59.616561070777017702048854162587 % h = 0.001 y1[1] (analytic) = 1.7201371714643037335426253304078 y1[1] (numeric) = 1.7539849775474492325730854523888 absolute error = 0.033847806083145499030460121981 relative error = 1.9677387736660458712895752559109 % h = 0.001 TOP MAIN SOLVE Loop memory used=2113.3MB, alloc=4.6MB, time=258.63 NO POLE NO POLE x[1] = 0.805 y2[1] (analytic) = 1.7208306429990985093239598806256 y2[1] (numeric) = 0.68955568710419567391452996450508 absolute error = 1.0312749558949028354094299161205 relative error = 59.928904688585504744376549574478 % h = 0.001 y1[1] (analytic) = 1.7208306429990985093239598806256 y1[1] (numeric) = 1.7547626148604231632386063694525 absolute error = 0.0339319718613246539146464888269 relative error = 1.9718367986629599923699849754759 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.806 y2[1] (analytic) = 1.7215233937033103552250327244533 y2[1] (numeric) = 0.68443586778872379951726702108015 absolute error = 1.0370875259145865557077657033732 relative error = 60.242430030742853057609095923656 % h = 0.001 y1[1] (analytic) = 1.7215233937033103552250327244533 y1[1] (numeric) = 1.7555395990913620661460955955607 absolute error = 0.0340162053880517109210628711074 relative error = 1.9759362848318115429287078492043 % h = 0.001 TOP MAIN SOLVE Loop memory used=2117.2MB, alloc=4.6MB, time=258.84 NO POLE NO POLE x[1] = 0.807 y2[1] (analytic) = 1.7222154228841886247632213874979 y2[1] (numeric) = 0.67929101983078102088333431634767 absolute error = 1.0429244030534076038798870711502 relative error = 60.55713990220953098529393090894 % h = 0.001 y1[1] (analytic) = 1.7222154228841886247632213874979 y1[1] (numeric) = 1.7563159293619697629651467857647 absolute error = 0.0341005064777811382019253982668 relative error = 1.9800372255796623732285180941238 % h = 0.001 TOP MAIN SOLVE Loop memory used=2121.0MB, alloc=4.6MB, time=259.05 NO POLE NO POLE x[1] = 0.808 y2[1] (analytic) = 1.7229067298497041947293528157898 y2[1] (numeric) = 0.67412107679570901292684346674351 absolute error = 1.0487856530539951818025093490463 relative error = 60.873037111270950988832339836005 % h = 0.001 y1[1] (analytic) = 1.7229067298497041947293528157898 y1[1] (numeric) = 1.7570916047944869538490435924084 absolute error = 0.0341848749447827591196907766186 relative error = 1.9841396143228738639108602929692 % h = 0.001 TOP MAIN SOLVE Loop memory used=2124.8MB, alloc=4.6MB, time=259.25 NO POLE NO POLE x[1] = 0.809 y2[1] (analytic) = 1.7235973139085501572167689158648 y2[1] (numeric) = 0.66892597217421843085912737933554 absolute error = 1.0546713417343317263576415365293 relative error = 61.190124469542425788666638540751 % h = 0.001 y1[1] (analytic) = 1.7235973139085501572167689158648 y1[1] (numeric) = 1.7578666245116921811762163872363 absolute error = 0.0342693106031420239594474713715 relative error = 1.9882434444870728931513522843779 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2128.6MB, alloc=4.6MB, time=259.46 x[1] = 0.81 y2[1] (analytic) = 1.7242871743701425109281768525145 y2[1] (numeric) = 0.66370563938246223083473148017732 absolute error = 1.0605815349876802800934453723372 relative error = 61.508404791974142827125455721558 % h = 0.001 y1[1] (analytic) = 1.7242871743701425109281768525145 y1[1] (numeric) = 1.7586409876369027928843568114732 absolute error = 0.0343538132667602819561799589587 relative error = 1.9923487095071178912779632277337 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.811 y2[1] (analytic) = 1.7249763105446208517595927974149 y2[1] (numeric) = 0.65846001176210907638627701263366 absolute error = 1.0665162987825117753733157847812 relative error = 61.827880896856157045307550916358 % h = 0.001 y1[1] (analytic) = 1.7249763105446208517595927974149 y1[1] (numeric) = 1.7594146932939759053961582282233 absolute error = 0.0344383827493550536365654308084 relative error = 1.996455402827064982514934364451 % h = 0.001 TOP MAIN SOLVE Loop memory used=2132.4MB, alloc=4.6MB, time=259.67 NO POLE NO POLE x[1] = 0.812 y2[1] (analytic) = 1.7256647217428490626606885447446 y2[1] (numeric) = 0.65318902258041683058611859348155 absolute error = 1.072475699162432232074569951263 relative error = 62.148555605823401966595225119964 % h = 0.001 y1[1] (analytic) = 1.7256647217428490626606885447446 y1[1] (numeric) = 1.7601877406073093661356504182891 absolute error = 0.0345230188644603034749618735445 relative error = 2.0005635179001342135167304292097 % h = 0.001 TOP MAIN SOLVE Loop memory used=2136.2MB, alloc=4.6MB, time=259.87 NO POLE NO POLE x[1] = 0.813 y2[1] (analytic) = 1.7263524072764160027708511335054 y2[1] (numeric) = 0.647892605030306133872622723789 absolute error = 1.0784598022461098688982284097164 relative error = 62.47043174386071907959842745971 % h = 0.001 y1[1] (analytic) = 1.7263524072764160027708511335054 y1[1] (numeric) = 1.7609601287018427156340971283395 absolute error = 0.0346077214254267128632459948341 relative error = 2.004673048188675868357524679317 % h = 0.001 TOP MAIN SOLVE Loop memory used=2140.0MB, alloc=4.6MB, time=260.08 NO POLE NO POLE x[1] = 0.814 y2[1] (analytic) = 1.7270393664576361958302663405423 y2[1] (numeric) = 0.64257069223043406747879851011648 absolute error = 1.0844686742272021283514678304258 relative error = 62.793512139307905513540137623153 % h = 0.001 y1[1] (analytic) = 1.7270393664576361958302663405423 y1[1] (numeric) = 1.7617318567030581492244253492735 absolute error = 0.0346924902454219533941590087312 relative error = 2.0087839871641368696429301343874 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.815 y2[1] (analytic) = 1.7277255985995505178653376332361 y2[1] (numeric) = 0.63722321722526790240091645957444 absolute error = 1.0905023813742826154644211736617 relative error = 63.117799623864779999302514031462 % h = 0.001 y1[1] (analytic) = 1.7277255985995505178653376332361 y1[1] (numeric) = 1.7625029237369814783231554726173 absolute error = 0.0347773251374309604578178393812 relative error = 2.0128963283070272654118938751305 % h = 0.001 TOP MAIN SOLVE Loop memory used=2143.9MB, alloc=4.6MB, time=260.28 NO POLE NO POLE x[1] = 0.816 y2[1] (analytic) = 1.7284111030159268841477528965088 y2[1] (numeric) = 0.63185011298515893384465586980924 absolute error = 1.0965609900307679503030970266996 relative error = 63.443297032596267109561646228466 % h = 0.001 y1[1] (analytic) = 1.7284111030159268841477528965088 y1[1] (numeric) = 1.7632733289301830912988017438688 absolute error = 0.03486222591425620715104884736 relative error = 2.0170100651068868014978701643439 % h = 0.001 TOP MAIN SOLVE Loop memory used=2147.7MB, alloc=4.6MB, time=260.49 NO POLE NO POLE x[1] = 0.817 y2[1] (analytic) = 1.72909587902126093542651197513 y2[1] (numeric) = 0.62645131240641640108622604218236 absolute error = 1.1026445666148445343402859329476 relative error = 63.770007203937499771646540741913 % h = 0.001 y1[1] (analytic) = 1.72909587902126093542651197513 y1[1] (numeric) = 1.764043071409778913925712703859 absolute error = 0.034947192388517978499200728729 relative error = 2.0211251910622515790195817498099 % h = 0.001 TOP MAIN SOLVE Loop memory used=2151.5MB, alloc=4.6MB, time=260.70 NO POLE NO POLE x[1] = 0.818 y2[1] (analytic) = 1.7297799259307767234322287993561 y2[1] (numeric) = 0.6210267483113814926858113033571 absolute error = 1.108753177619395230746417495999 relative error = 64.097932979698940046965206885141 % h = 0.001 y1[1] (analytic) = 1.7297799259307767234322287993561 y1[1] (numeric) = 1.7648121503034313694223215824354 absolute error = 0.0350322243726546459900927830793 relative error = 2.0252416996806207966728670110669 % h = 0.001 TOP MAIN SOLVE Loop memory used=2155.3MB, alloc=4.6MB, time=260.91 NO POLE NO POLE x[1] = 0.819 y2[1] (analytic) = 1.7304632430604273956530225896556 y2[1] (numeric) = 0.61557635344850143699059462731667 absolute error = 1.1148868896119259586624279623389 relative error = 64.427077205071518171047396700885 % h = 0.001 y1[1] (analytic) = 1.7304632430604273956530225896556 y1[1] (numeric) = 1.7655805647393503380727768830887 absolute error = 0.0351173216789229424197542934331 relative error = 2.0293595844784235774962936451212 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.82 y2[1] (analytic) = 1.7311458297268958793813133646877 y2[1] (numeric) = 0.61010006049240367786451950661101 absolute error = 1.1210457692344922015167938580767 relative error = 64.757442728631789848459695582933 % h = 0.001 y1[1] (analytic) = 1.7311458297268958793813133646877 y1[1] (numeric) = 1.7663483138462941164309236725422 absolute error = 0.0352024841193982370496103078545 relative error = 2.0334788389809858797843973732409 % h = 0.001 TOP MAIN SOLVE Loop memory used=2159.1MB, alloc=4.6MB, time=261.11 NO POLE NO POLE x[1] = 0.821 y2[1] (analytic) = 1.7318276852475955650308377057945 y2[1] (numeric) = 0.6045978020439701355818546284699 absolute error = 1.1272298832036254294489830773246 relative error = 65.089032402347111797054261105243 % h = 0.001 y1[1] (analytic) = 1.7318276852475955650308377057945 y1[1] (numeric) = 1.7671153967535703761056063657977 absolute error = 0.0352877115059748110747686600032 relative error = 2.0375994567224974918235767163218 % h = 0.001 TOP MAIN SOLVE Loop memory used=2162.9MB, alloc=4.6MB, time=261.32 NO POLE NO POLE x[1] = 0.822 y2[1] (analytic) = 1.7325088089406709887232014610491 y2[1] (numeric) = 0.59906951063041155282153086843052 absolute error = 1.1334392983102594359016705926186 relative error = 65.421849081580835536217571285102 % h = 0.001 y1[1] (analytic) = 1.7325088089406709887232014610491 y1[1] (numeric) = 1.7678818125910371221262640746912 absolute error = 0.0353730036503661334030626136421 relative error = 2.0417214312459791101268422535646 % h = 0.001 TOP MAIN SOLVE Loop memory used=2166.7MB, alloc=4.6MB, time=261.53 NO POLE NO POLE x[1] = 0.823 y2[1] (analytic) = 1.7331892001249985141432868023628 y2[1] (numeric) = 0.59351511870534192569912512141156 absolute error = 1.1396740814196565884441616809512 relative error = 65.755895625097519413990073929992 % h = 0.001 y1[1] (analytic) = 1.7331892001249985141432868023628 y1[1] (numeric) = 1.7686475604891036508877898666455 absolute error = 0.0354583603641051367445030642827 relative error = 2.0458447561032495008447809718988 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2170.6MB, alloc=4.6MB, time=261.73 x[1] = 0.824 y2[1] (analytic) = 1.7338688581201870136628317803018 y2[1] (numeric) = 0.58793455864885301977327054782658 absolute error = 1.1459342994713339938895612324752 relative error = 66.09117489506815886813162987429 % h = 0.001 y1[1] (analytic) = 1.7338688581201870136628317803018 y1[1] (numeric) = 1.7694126395787315076736255600262 absolute error = 0.0355437814585444940107937797244 relative error = 2.049969424854892744031253355413 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.825 y2[1] (analytic) = 1.7345477822465785487315012530908 y2[1] (numeric) = 0.58232776276758897096317792046957 absolute error = 1.1522200194789895777683233326212 relative error = 66.427689757075434916411118789655 % h = 0.001 y1[1] (analytic) = 1.7345477822465785487315012530908 y1[1] (numeric) = 1.7701770489914354437560639633008 absolute error = 0.03562926674485689502456271021 relative error = 2.0540954310702255604434927780372 % h = 0.001 TOP MAIN SOLVE Loop memory used=2174.4MB, alloc=4.6MB, time=261.94 NO POLE NO POLE x[1] = 0.826 y2[1] (analytic) = 1.7352259718252490495347687987877 y2[1] (numeric) = 0.57669466329482097131385791662908 absolute error = 1.1585313085304280782209108821586 relative error = 66.765443080118980871601530823468 % h = 0.001 y1[1] (analytic) = 1.7352259718252490495347687987877 y1[1] (numeric) = 1.770940787859284373072730747078 absolute error = 0.0357148160340353235379619482903 relative error = 2.0582227683272647205574235726805 % h = 0.001 TOP MAIN SOLVE Loop memory used=2178.2MB, alloc=4.6MB, time=262.14 NO POLE NO POLE x[1] = 0.827 y2[1] (analytic) = 1.735903426178008993917929952807 y2[1] (numeric) = 0.57103519239052203954553940929634 absolute error = 1.1648682337874869543723905435107 relative error = 67.10443773662066727686430453615 % h = 0.001 y1[1] (analytic) = 1.735903426178008993917929952807 y1[1] (numeric) = 1.7717038553149023284782184210585 absolute error = 0.0358004291368933345602884682515 relative error = 2.0623514302126945354801558782487 % h = 0.001 TOP MAIN SOLVE Loop memory used=2182.0MB, alloc=4.6MB, time=262.35 NO POLE NO POLE x[1] = 0.828 y2[1] (analytic) = 1.7365801446274040855755678468317 y2[1] (numeric) = 0.56534928214144187632368407153118 absolute error = 1.1712308624859622092518837753005 relative error = 67.444676602429905057408595406898 % h = 0.001 y1[1] (analytic) = 1.7365801446274040855755678468317 y1[1] (numeric) = 1.7724662504914694175698451719625 absolute error = 0.0358861058640653319942773251308 relative error = 2.0664814103218344294427520366128 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.829 y2[1] (analytic) = 1.7372561264967159315057930597084 y2[1] (numeric) = 0.55963686456118180418590291913966 absolute error = 1.1776192619355341273198901405687 relative error = 67.78616255682896688451257347735 % h = 0.001 y1[1] (analytic) = 1.7372561264967159315057930597084 y1[1] (numeric) = 1.7732279725227227780865116036125 absolute error = 0.0359718460260068465807185439041 relative error = 2.0706127022586065935574909461461 % h = 0.001 TOP MAIN SOLVE Loop memory used=2185.8MB, alloc=4.6MB, time=262.56 NO POLE NO POLE x[1] = 0.83 y2[1] (analytic) = 1.7379313711099627187285802261381 y2[1] (numeric) = 0.55389787159026979206198577890261 absolute error = 1.1840334995196929266665944472355 relative error = 68.128898482538326748194757405181 % h = 0.001 y1[1] (analytic) = 1.7379313711099627187285802261381 y1[1] (numeric) = 1.7739890205429575328796287065421 absolute error = 0.036057649432994814151048480404 relative error = 2.0747452996355037205249834013178 % h = 0.001 TOP MAIN SOLVE Loop memory used=2189.6MB, alloc=4.6MB, time=262.76 NO POLE NO POLE x[1] = 0.831 y2[1] (analytic) = 1.7386058777918998902675246848866 y2[1] (numeric) = 0.54813223509623556432316008277751 absolute error = 1.1904736426956643259443646021091 relative error = 68.472887265722017735023799190188 % h = 0.001 y1[1] (analytic) = 1.7386058777918998902675246848866 y1[1] (numeric) = 1.7747493936870277444550906717721 absolute error = 0.0361435158951278541875659868855 relative error = 2.078879196073556819977613079847 % h = 0.001 TOP MAIN SOLVE Loop memory used=2193.5MB, alloc=4.6MB, time=262.97 NO POLE NO POLE x[1] = 0.832 y2[1] (analytic) = 1.7392796458680208203943431848106 y2[1] (numeric) = 0.54233988687368579429660085287998 absolute error = 1.1969397589943350260977423319306 relative error = 68.818131795993008007755042980886 % h = 0.001 y1[1] (analytic) = 1.7392796458680208203943431848106 y1[1] (numeric) = 1.7755090910903473690852664517454 absolute error = 0.0362294452223265486909232669348 relative error = 2.0830143852023031141468945045825 % h = 0.001 TOP MAIN SOLVE Loop memory used=2197.3MB, alloc=4.6MB, time=263.18 NO POLE NO POLE x[1] = 0.833 y2[1] (analytic) = 1.739952674664557489135443404258 y2[1] (numeric) = 0.53652075864437938218111925773888 absolute error = 1.2034319160201781069543241465191 relative error = 69.164634966418594983681596521707 % h = 0.001 y1[1] (analytic) = 1.739952674664557489135443404258 y1[1] (numeric) = 1.7762681118888912104899842608391 absolute error = 0.0363154372243337213545408565811 relative error = 2.0871508606597540135434510270732 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.834 y2[1] (analytic) = 1.7406249635084811560398877773265 y2[1] (numeric) = 0.53067478205730281729986268741311 absolute error = 1.2099501814511783387400250899134 relative error = 69.512399673525817708786578793494 % h = 0.001 y1[1] (analytic) = 1.7406249635084811560398877773265 y1[1] (numeric) = 1.7770264552191958730854834983806 absolute error = 0.0364014917107147170455957210541 relative error = 2.0912886160923631723394226778781 % h = 0.001 TOP MAIN SOLVE Loop memory used=2201.1MB, alloc=4.6MB, time=263.38 NO POLE NO POLE x[1] = 0.835 y2[1] (analytic) = 1.741296511727503033208077859075 y2[1] (numeric) = 0.52480188868874562462576491366162 absolute error = 1.2164946230387574085823129454134 relative error = 69.861428817306887424981646051004 % h = 0.001 y1[1] (analytic) = 1.741296511727503033208077859075 y1[1] (numeric) = 1.7777841202183607148003088686774 absolute error = 0.0364876084908576815922310096024 relative error = 2.0954276451549946231442156255222 % h = 0.001 TOP MAIN SOLVE Loop memory used=2204.9MB, alloc=4.6MB, time=263.59 NO POLE NO POLE x[1] = 0.836 y2[1] (analytic) = 1.7419673186500749575804862010582 y2[1] (numeric) = 0.51890201004237589551539057157363 absolute error = 1.2230653086076990620650956294846 relative error = 70.211725301224636327914854571571 % h = 0.001 y1[1] (analytic) = 1.7419673186500749575804862010582 y1[1] (numeric) = 1.7785411060240487994571217652341 absolute error = 0.0365737873739738418766355641759 relative error = 2.0995679415108909908656020051922 % h = 0.001 TOP MAIN SOLVE Loop memory used=2208.7MB, alloc=4.6MB, time=263.80 NO POLE NO POLE x[1] = 0.837 y2[1] (analytic) = 1.7426373836053900624857634485088 y2[1] (numeric) = 0.51297507754931590258672392099602 absolute error = 1.2296623060560741598990395275128 relative error = 70.563292032217984513028395784001 % h = 0.001 y1[1] (analytic) = 1.7426373836053900624857634485088 y1[1] (numeric) = 1.7792974117744878487194042800708 absolute error = 0.036660028169097786233640831562 relative error = 2.1037094988316417853492710407398 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2212.5MB, alloc=4.6MB, time=264.00 x[1] = 0.838 y2[1] (analytic) = 1.743306705923383448447549111117 y2[1] (numeric) = 0.50702102256821779867635761984268 absolute error = 1.2362856833551656497711914912743 relative error = 70.916131920707425107743741814652 % h = 0.001 y1[1] (analytic) = 1.743306705923383448447549111117 y1[1] (numeric) = 1.7800530366084711936020314938759 absolute error = 0.0367463306850877451544823827589 relative error = 2.107852310797151772491019711626 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.839 y2[1] (analytic) = 1.7439752849347328532493152006504 y2[1] (numeric) = 0.50103977638533939981144306703797 absolute error = 1.2429355085493934534378721336124 relative error = 71.270247880600527587848270620898 % h = 0.001 y1[1] (analytic) = 1.7439752849347328532493152006504 y1[1] (numeric) = 1.7808079796653587255446879986224 absolute error = 0.036832694730625872295372797972 relative error = 2.1119963710956094235168537319419 % h = 0.001 TOP MAIN SOLVE Loop memory used=2216.3MB, alloc=4.6MB, time=264.22 NO POLE NO POLE x[1] = 0.84 y2[1] (analytic) = 1.7446431199708593212565726706296 y2[1] (numeric) = 0.49503127021462005213166975053674 absolute error = 1.2496118497562392691249029200929 relative error = 71.625642829297459276353503517271 % h = 0.001 y1[1] (analytic) = 1.7446431199708593212565726706296 y1[1] (numeric) = 1.7815622400850778470471049012507 absolute error = 0.0369191201142185257905322306211 relative error = 2.1161416734234554421273473325817 % h = 0.001 TOP MAIN SOLVE Loop memory used=2220.2MB, alloc=4.6MB, time=264.42 NO POLE NO POLE x[1] = 0.841 y2[1] (analytic) = 1.7453102103639278719957713359055 y2[1] (numeric) = 0.48899543519775658269644696567878 absolute error = 1.2563147751661712892993243702267 relative error = 71.982319687696525023290687756792 % h = 0.001 y1[1] (analytic) = 1.7453102103639278719957713359055 y1[1] (numeric) = 1.7823158170081244218650938550721 absolute error = 0.0370056066441965498693225191666 relative error = 2.1202882114853513692036832926814 % h = 0.001 TOP MAIN SOLVE Loop memory used=2224.0MB, alloc=4.6MB, time=264.63 NO POLE NO POLE x[1] = 0.842 y2[1] (analytic) = 1.7459765554468481679892246932965 y2[1] (numeric) = 0.48293220240427933411236725117858 absolute error = 1.2630443530425688338768574421179 relative error = 72.340281380199725065104596614262 % h = 0.001 y1[1] (analytic) = 1.7459765554468481679892246932965 y1[1] (numeric) = 1.7830687095755637247663549646763 absolute error = 0.0370921541287155567771302713798 relative error = 2.1244359789941482647738628726266 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.843 y2[1] (analytic) = 1.7466421545532751818453918084153 y2[1] (numeric) = 0.47684150283162828291593692442462 absolute error = 1.2698006517216468989294548839907 relative error = 72.699530834718331062501102817847 % h = 0.001 y1[1] (analytic) = 1.7466421545532751818453918084153 y1[1] (numeric) = 1.7838209169290313908450357103306 absolute error = 0.0371787623757562089996439019153 relative error = 2.1285849696708554669386387807053 % h = 0.001 TOP MAIN SOLVE Loop memory used=2227.8MB, alloc=4.6MB, time=264.84 NO POLE NO POLE x[1] = 0.844 y2[1] (analytic) = 1.7473070070176098626038491784596 y2[1] (numeric) = 0.47072326740522924164646518456823 absolute error = 1.2765837396123806209573839938914 relative error = 73.060070982678480315798311864332 % h = 0.001 y1[1] (analytic) = 1.7473070070176098626038491784596 y1[1] (numeric) = 1.7845724382107343643940183391425 absolute error = 0.0372654311931245017901691606829 relative error = 2.132735177244609427457783079432 % h = 0.001 TOP MAIN SOLVE Loop memory used=2231.6MB, alloc=4.6MB, time=265.05 NO POLE NO POLE x[1] = 0.845 y2[1] (analytic) = 1.7479711121749998013342862260498 y2[1] (numeric) = 0.46457742697857014454390939122301 absolute error = 1.2833936851964296567903768348268 relative error = 73.421904759026788157024823388642 % h = 0.001 y1[1] (analytic) = 1.7479711121749998013342862260498 y1[1] (numeric) = 1.7853232725634518473339134726153 absolute error = 0.0373521603884520459996272465655 relative error = 2.1368865954526426236983560269435 % h = 0.001 TOP MAIN SOLVE Loop memory used=2235.4MB, alloc=4.6MB, time=265.25 NO POLE NO POLE x[1] = 0.846 y2[1] (analytic) = 1.7486344693613398959888588251738 y2[1] (numeric) = 0.45840391233327741680638031857414 absolute error = 1.2902305570280624791824785065997 relative error = 73.785035102235978518202024982716 % h = 0.001 y1[1] (analytic) = 1.7486344693613398959888588251738 y1[1] (numeric) = 1.7860734191305362471977379836633 absolute error = 0.0374389497691963512088791584895 relative error = 2.1410392180402525466476912746757 % h = 0.001 TOP MAIN SOLVE Loop memory used=2239.2MB, alloc=4.6MB, time=265.46 NO POLE NO POLE x[1] = 0.847 y2[1] (analytic) = 1.7492970779132730155072360069414 y2[1] (numeric) = 0.45220265417919242734191742941481 absolute error = 1.2970944237340805881653185775266 relative error = 74.149464954310532675440217299145 % h = 0.001 y1[1] (analytic) = 1.7492970779132730155072360069414 y1[1] (numeric) = 1.7868228770559141246702555006645 absolute error = 0.0375257991426411091630194937231 relative error = 2.1451930387607707646948576254974 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.848 y2[1] (analytic) = 1.7499589371681906631736757401562 y2[1] (numeric) = 0.4459735831544480249490505111871 absolute error = 1.3039853540137426382246252289691 relative error = 74.515197260792356168670825543157 % h = 0.001 y1[1] (analytic) = 1.7499589371681906631736757401562 y1[1] (numeric) = 1.7875716454840871406809582017191 absolute error = 0.0376127083158964775072824615629 relative error = 2.1493480513755320628853977177521 % h = 0.001 TOP MAIN SOLVE Loop memory used=2243.0MB, alloc=4.6MB, time=265.67 NO POLE NO POLE x[1] = 0.849 y2[1] (analytic) = 1.7506200464642336392254664296844 y2[1] (numeric) = 0.43971662982554515786057036660882 absolute error = 1.3109034166386884813648960630756 relative error = 74.882234970766463897028974148873 % h = 0.001 y1[1] (analytic) = 1.7506200464642336392254664296844 y1[1] (numeric) = 1.788319723560133003049668868945 absolute error = 0.0376996770958993638242024392606 relative error = 2.1535042496538436573551795602992 % h = 0.001 TOP MAIN SOLVE Loop memory used=2246.9MB, alloc=4.6MB, time=265.87 NO POLE NO POLE x[1] = 0.85 y2[1] (analytic) = 1.7512804051402927027120715242355 y2[1] (numeric) = 0.43343172468742957658483765501863 absolute error = 1.3178486804528631261272338692169 relative error = 75.250581036866683390092292134444 % h = 0.001 y1[1] (analytic) = 1.7512804051402927027120715242355 y1[1] (numeric) = 1.7890671104297064126837424803841 absolute error = 0.0377867052894137099716709561486 relative error = 2.1576616273729544846502278227098 % h = 0.001 TOP MAIN SOLVE Loop memory used=2250.7MB, alloc=4.6MB, time=266.08 NO POLE NO POLE x[1] = 0.851 y2[1] (analytic) = 1.7519400125360092326043153744632 y2[1] (numeric) = 0.42711879816356861997886543727099 absolute error = 1.3248212143724406126254499371922 relative error = 75.620238415281376255372979901864 % h = 0.001 y1[1] (analytic) = 1.7519400125360092326043153744632 y1[1] (numeric) = 1.7898138052390400093258469259085 absolute error = 0.0378737927030307767215315514453 relative error = 2.1618201783180245656404282036351 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2254.5MB, alloc=4.6MB, time=266.29 x[1] = 0.852 y2[1] (analytic) = 1.7525988679917758881529492322585 y2[1] (numeric) = 0.42077778060602808448731748696261 absolute error = 1.3318210873857478036656317452959 relative error = 75.991210065759177802650907643354 % h = 0.001 y1[1] (analytic) = 1.7525988679917758881529492322585 y1[1] (numeric) = 1.7905598071349453168513027434096 absolute error = 0.0379609391431694286983535111511 relative error = 2.1659798962820944437360200789461 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.853 y2[1] (analytic) = 1.7532569708487372684959370327215 y2[1] (numeric) = 0.41440860229554917648147099407505 absolute error = 1.3388483685531880920144660386464 relative error = 76.363498951614754845925834573995 % h = 0.001 y1[1] (analytic) = 1.7532569708487372684959370327215 y1[1] (numeric) = 1.7913051152648136881139620825198 absolute error = 0.0380481444160764196180250497983 relative error = 2.1701407750660546971168099905437 % h = 0.001 TOP MAIN SOLVE Loop memory used=2258.3MB, alloc=4.6MB, time=266.50 NO POLE NO POLE x[1] = 0.854 y2[1] (analytic) = 1.7539143204487905715138013515826 y2[1] (numeric) = 0.4080111934416255476320989038759 absolute error = 1.3459031270071650238817024477067 relative error = 76.737108039734581683956740452935 % h = 0.001 y1[1] (analytic) = 1.7539143204487905715138013515826 y1[1] (numeric) = 1.7920497287766172493396074151603 absolute error = 0.0381354083278266778258060635777 relative error = 2.1743028084786155246850513960174 % h = 0.001 TOP MAIN SOLVE Loop memory used=2262.1MB, alloc=4.6MB, time=266.70 NO POLE NO POLE x[1] = 0.855 y2[1] (analytic) = 1.7545709161345862519323706827818 y2[1] (numeric) = 0.40158548418258041325013380423568 absolute error = 1.3529854319520058386822368785461 relative error = 77.112040300582734260545749790259 % h = 0.001 y1[1] (analytic) = 1.7545709161345862519323706827818 y1[1] (numeric) = 1.7927936468189098440658508253277 absolute error = 0.0382227306843235921334801425459 relative error = 2.1784659903362764054539444794111 % h = 0.001 TOP MAIN SOLVE Loop memory used=2265.9MB, alloc=4.6MB, time=266.91 NO POLE NO POLE x[1] = 0.856 y2[1] (analytic) = 1.7552267572495286786722699335127 y2[1] (numeric) = 0.39513140458564375352888199849132 absolute error = 1.3600953526638849251433879350214 relative error = 77.488298708206702505913208258209 % h = 0.001 y1[1] (analytic) = 1.7552267572495286786722699335127 y1[1] (numeric) = 1.7935368685408279766275150247238 absolute error = 0.0383101112912992979552450912111 relative error = 2.1826303144632958310847137436098 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.857 y2[1] (analytic) = 1.7558818431377767914444967872976 y2[1] (numeric) = 0.38864888464702959762146317872141 absolute error = 1.3672329584907471938230336085762 relative error = 77.865886240243220860699143612057 % h = 0.001 y1[1] (analytic) = 1.7558818431377767914444967872976 y1[1] (numeric) = 1.7942793930920917551864775561042 absolute error = 0.0383975499543149637419807688066 relative error = 2.1867957746916611112862205853797 % h = 0.001 TOP MAIN SOLVE Loop memory used=2269.7MB, alloc=4.6MB, time=267.12 NO POLE NO POLE x[1] = 0.858 y2[1] (analytic) = 1.7565361731442447565914273395692 y2[1] (numeric) = 0.38213785429201339048705794589562 absolute error = 1.3743983188522313661043693936736 relative error = 78.244805877924116984314613343834 % h = 0.001 y1[1] (analytic) = 1.7565361731442447565914273395692 y1[1] (numeric) = 1.7950212196230058343049599625614 absolute error = 0.0384850464787610777135326229922 relative error = 2.1909623648610582517920631146845 % h = 0.001 TOP MAIN SOLVE Loop memory used=2273.6MB, alloc=4.6MB, time=267.33 NO POLE NO POLE x[1] = 0.859 y2[1] (analytic) = 1.757189746614602622172595164811 y2[1] (numeric) = 0.37559824337500944243945230892232 absolute error = 1.3815915032395931797331428558887 relative error = 78.625060606082178649554311791323 % h = 0.001 y1[1] (analytic) = 1.757189746614602622172595164811 y1[1] (numeric) = 1.795762347284460357061244018378 absolute error = 0.038572600669857734888648853567 relative error = 2.1951300788188419046311061397321 % h = 0.001 TOP MAIN SOLVE Loop memory used=2277.4MB, alloc=4.6MB, time=267.54 NO POLE NO POLE x[1] = 0.86 y2[1] (analytic) = 1.7578425628952769722945887295286 y2[1] (numeric) = 0.36902998167964846133127523424652 absolute error = 1.3888125812156285109633134952821 relative error = 79.006653413157038825569283942892 % h = 0.001 y1[1] (analytic) = 1.7578425628952769722945887295286 y1[1] (numeric) = 1.7965027752279318967067974355771 absolute error = 0.0386602123326549244122087060485 relative error = 2.1992989104200053904083705186945 % h = 0.001 TOP MAIN SOLVE Loop memory used=2281.2MB, alloc=4.6MB, time=267.75 NO POLE NO POLE x[1] = 0.861 y2[1] (analytic) = 1.7584946213334515806844128212126 y2[1] (numeric) = 0.36243299891885516730723231144649 absolute error = 1.3960616224145964133771805097661 relative error = 79.389587291201078951485675138529 % h = 0.001 y1[1] (analytic) = 1.7584946213334515806844128212126 y1[1] (numeric) = 1.7972425026054843978637917798624 absolute error = 0.0387478812720328171793789586498 relative error = 2.2034688535271507923141929962651 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.862 y2[1] (analytic) = 1.7591459212770680635056604199826 y2[1] (numeric) = 0.35580722473492599005954564834346 absolute error = 1.4033386965421420734461147716391 relative error = 79.773865235885350403142138678115 % h = 0.001 y1[1] (analytic) = 1.7591459212770680635056604199826 y1[1] (numeric) = 1.7979815285697701172619956502818 absolute error = 0.0388356072927020537563352302992 relative error = 2.2076399020104591215805452192172 % h = 0.001 TOP MAIN SOLVE Loop memory used=2285.0MB, alloc=4.6MB, time=267.95 NO POLE NO POLE x[1] = 0.863 y2[1] (analytic) = 1.7597964620748265314168421967984 y2[1] (numeric) = 0.34915258869960684851871721157638 absolute error = 1.410643873375219682898124985222 relative error = 80.159490246505514155604830405081 % h = 0.001 y1[1] (analytic) = 1.7597964620748265314168421967984 y1[1] (numeric) = 1.798719852274030564014026498662 absolute error = 0.0389233901992040325971843018636 relative error = 2.2118120497476605541043738773063 % h = 0.001 TOP MAIN SOLVE Loop memory used=2288.8MB, alloc=4.6MB, time=268.16 NO POLE NO POLE x[1] = 0.864 y2[1] (analytic) = 1.7604462430761862408712215799592 y2[1] (numeric) = 0.34246902031417101291263998550475 absolute error = 1.4179772227620152279585815944544 relative error = 80.546465325987798644304844018698 % h = 0.001 y1[1] (analytic) = 1.7604462430761862408712215799592 y1[1] (numeric) = 1.7994574728720974394279447876493 absolute error = 0.0390112297959111985567232076901 relative error = 2.2159852906240047379587928651218 % h = 0.001 TOP MAIN SOLVE Loop memory used=2292.6MB, alloc=4.6MB, time=268.37 NO POLE NO POLE x[1] = 0.865 y2[1] (analytic) = 1.7610952636313662446575040901144 y2[1] (numeric) = 0.33575644900949704912698853378799 absolute error = 1.4253388146218691955305155563264 relative error = 80.934793480894975827828486549907 % h = 0.001 y1[1] (analytic) = 1.7610952636313662446575040901144 y1[1] (numeric) = 1.8001943895183935763561745100537 absolute error = 0.0390991258870273316986704199393 relative error = 2.2201596185322311715139230241287 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2296.4MB, alloc=4.6MB, time=268.57 x[1] = 0.866 y2[1] (analytic) = 1.7617435230913460416807304031469 y2[1] (numeric) = 0.32901480414614684529972781415205 absolute error = 1.4327287189451991963810025889948 relative error = 81.32447772143235545557596346803 % h = 0.001 y1[1] (analytic) = 1.7617435230913460416807304031469 y1[1] (numeric) = 1.8009306013679338780797344171265 absolute error = 0.0391870782765878363990040139796 relative error = 2.2243350273725396518901354228093 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.867 y2[1] (analytic) = 1.7623910208078662259827233600927 y2[1] (numeric) = 0.32224401501444372058248641779389 absolute error = 1.4401470057934225054002369422988 relative error = 81.71552106145379754368884061104 % h = 0.001 y1[1] (analytic) = 1.7623910208078662259827233600927 y1[1] (numeric) = 1.801666107576326256726764629412 absolute error = 0.0392750867684600307440412693193 relative error = 2.228511511052560793467410283889 % h = 0.001 TOP MAIN SOLVE Loop memory used=2300.3MB, alloc=4.6MB, time=268.78 NO POLE NO POLE x[1] = 0.868 y2[1] (analytic) = 1.763037756133429135001439903703 y2[1] (numeric) = 0.31544401083455061600144778069387 absolute error = 1.4475937452988785189999921230091 relative error = 82.10792651846774306283107887747 % h = 0.001 y1[1] (analytic) = 1.763037756133429135001439903703 y1[1] (numeric) = 1.8024009072997725712243336308923 absolute error = 0.0393631511663434362228937271893 relative error = 2.2326890634873266161754755907911 % h = 0.001 TOP MAIN SOLVE Loop memory used=2304.1MB, alloc=4.6MB, time=268.99 NO POLE NO POLE x[1] = 0.869 y2[1] (analytic) = 1.7636837284212994970685796823498 y2[1] (numeric) = 0.30861472075654836735032034490632 absolute error = 1.4550690076647511297182593374435 relative error = 82.501697113643262841592500699408 % h = 0.001 y1[1] (analytic) = 1.7636837284212994970685796823498 y1[1] (numeric) = 1.8031349996950695647825109752983 absolute error = 0.0394512712737700677139312929485 relative error = 2.2368676785992412032903371190287 % h = 0.001 TOP MAIN SOLVE Loop memory used=2307.9MB, alloc=4.6MB, time=269.20 NO POLE NO POLE x[1] = 0.87 y2[1] (analytic) = 1.7643289370255050781448028237228 y2[1] (numeric) = 0.30175607386051406004785513378111 absolute error = 1.4625728631649910180969476899417 relative error = 82.896835871816124689467248034136 % h = 0.001 y1[1] (analytic) = 1.7643289370255050781448028237228 y1[1] (numeric) = 1.8038683839196098019096913626879 absolute error = 0.0395394468941047237648885389651 relative error = 2.2410473503180514284637551606379 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.871 y2[1] (analytic) = 1.7649733813008373277919101431513 y2[1] (numeric) = 0.29486799915659946589228674613518 absolute error = 1.4701053821442378618996233970161 relative error = 83.293345821494878743543133256559 % h = 0.001 y1[1] (analytic) = 1.7649733813008373277919101431513 y1[1] (numeric) = 1.8046010591313826049581560746884 absolute error = 0.0396276778305452771662459315371 relative error = 2.2452280725808177517131625598413 % h = 0.001 TOP MAIN SOLVE Loop memory used=2311.7MB, alloc=4.6MB, time=269.40 NO POLE NO POLE x[1] = 0.872 y2[1] (analytic) = 1.7656170606028520243813398144258 y2[1] (numeric) = 0.28795042558510956164498137074397 absolute error = 1.4776666350177424627363584436818 relative error = 83.691229994866961043220770180616 % h = 0.001 y1[1] (analytic) = 1.7656170606028520243813398144258 y1[1] (numeric) = 1.8053330244889749901988580881733 absolute error = 0.0397159638861229658175182737475 relative error = 2.2494098393318850841004538738237 % h = 0.001 TOP MAIN SOLVE Loop memory used=2315.5MB, alloc=4.6MB, time=269.61 NO POLE NO POLE x[1] = 0.873 y2[1] (analytic) = 1.7662599742878699195383352946765 y2[1] (numeric) = 0.28100328201658112937548307426017 absolute error = 1.4852566922712887901628522204163 relative error = 84.090491427804815337464005749102 % h = 0.001 y1[1] (analytic) = 1.7662599742878699195383352946765 y1[1] (numeric) = 1.8060642791515726034244175195847 absolute error = 0.0398043048637026838860822249082 relative error = 2.2535926445228537208290065323 % h = 0.001 TOP MAIN SOLVE Loop memory used=2319.3MB, alloc=4.6MB, time=269.82 NO POLE NO POLE x[1] = 0.874 y2[1] (analytic) = 1.7669021217129773818211400591947 y2[1] (numeric) = 0.27402649725186143850005732289175 absolute error = 1.492875624461115943321082736303 relative error = 84.491133159872033129265456957548 % h = 0.001 y1[1] (analytic) = 1.7669021217129773818211400591947 y1[1] (numeric) = 1.8067948222789606550793143856296 absolute error = 0.0398927005659832732581743264349 relative error = 2.2577764821125503424892218117956 % h = 0.001 TOP MAIN SOLVE Loop memory used=2323.2MB, alloc=4.6MB, time=270.03 NO POLE NO POLE x[1] = 0.875 y2[1] (analytic) = 1.7675435022360270396345754670545 y2[1] (numeric) = 0.26702000002218700944573846098491 absolute error = 1.5005235022138400301888370060696 relative error = 84.893158234329511962192895556766 % h = 0.001 y1[1] (analytic) = 1.7675435022360270396345754670545 y1[1] (numeric) = 1.807524653031524854916266000663 absolute error = 0.0399811507954978152816905336085 relative error = 2.2619613460669990841837962830262 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.876 y2[1] (analytic) = 1.768184115215638423377358844013 y2[1] (numeric) = 0.25998371898926245887179568816058 absolute error = 1.5082003962263759645055631558524 relative error = 85.296569698141631954063818235611 % h = 0.001 y1[1] (analytic) = 1.768184115215638423377358844013 y1[1] (numeric) = 1.8082537705702523461777766667291 absolute error = 0.0400696553546139228004178227161 relative error = 2.2661472303593926722648531503821 % h = 0.001 TOP MAIN SOLVE Loop memory used=2327.0MB, alloc=4.6MB, time=270.24 NO POLE NO POLE x[1] = 0.877 y2[1] (analytic) = 1.7688239600111986068225196354215 y2[1] (numeric) = 0.25291758274533942638043995094746 absolute error = 1.515906377265859180442079684474 relative error = 85.701370601982450582976795532406 % h = 0.001 y1[1] (analytic) = 1.7688239600111986068225196354215 y1[1] (numeric) = 1.8089821740567326393018476489633 absolute error = 0.0401582140455340324793280135418 relative error = 2.2703341289700636284159776000349 % h = 0.001 TOP MAIN SOLVE Loop memory used=2330.8MB, alloc=4.6MB, time=270.45 NO POLE NO POLE x[1] = 0.878 y2[1] (analytic) = 1.769463035982862847730272248788 y2[1] (numeric) = 0.24582151981329558264850209504067 absolute error = 1.5236415161695672650817701537473 relative error = 86.107564000241915731109111861387 % h = 0.001 y1[1] (analytic) = 1.769463035982862847730272248788 y1[1] (numeric) = 1.8097098626531585451508357668548 absolute error = 0.0402468266702956974205635180668 relative error = 2.2745220358864555408131109238079 % h = 0.001 TOP MAIN SOLVE Loop memory used=2334.6MB, alloc=4.6MB, time=270.66 NO POLE NO POLE x[1] = 0.879 y2[1] (analytic) = 1.7701013424915552276927049731688 y2[1] (numeric) = 0.23869545864671371891172061049423 absolute error = 1.5314058838448415087809843626746 relative error = 86.515152951032096991870794956267 % h = 0.001 y1[1] (analytic) = 1.7701013424915552276927049731688 y1[1] (numeric) = 1.8104368355223271077624492707445 absolute error = 0.0403354930307718800697442975757 relative error = 2.2787109451030944020991648094331 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2338.4MB, alloc=4.6MB, time=270.86 x[1] = 0.88 y2[1] (analytic) = 1.770738878898969291209645130756 y2[1] (numeric) = 0.23153932762996091773318534442896 absolute error = 1.539199551269008373476459786327 relative error = 86.924140516193435246185388903068 % h = 0.001 y1[1] (analytic) = 1.770738878898969291209645130756 y1[1] (numeric) = 1.811163091827640536621870012873 absolute error = 0.040424212928671245412224882117 relative error = 2.2829008506215600139081197997797 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.881 y2[1] (analytic) = 1.771375644567568683995061384847 y2[1] (numeric) = 0.22435305507826780498739165430539 absolute error = 1.5470225894893008790076697305416 relative error = 87.3345297613010105138477539217 % h = 0.001 y1[1] (analytic) = 1.771375644567568683995061384847 y1[1] (numeric) = 1.8118886307331071384539912633072 absolute error = 0.0405129861655384544589298784602 relative error = 2.287091746450457457675270543307 % h = 0.001 TOP MAIN SOLVE Loop memory used=2342.2MB, alloc=4.6MB, time=271.07 NO POLE NO POLE x[1] = 0.882 y2[1] (analytic) = 1.772011638860587790513364897848 y2[1] (numeric) = 0.21713656923780788299126762957537 absolute error = 1.5548750696227799075220972682726 relative error = 87.746323755670828086088781311839 % h = 0.001 y1[1] (analytic) = 1.772011638860587790513364897848 y1[1] (numeric) = 1.8126134514033422485347608631572 absolute error = 0.0406018125427544580213959653092 relative error = 2.2912836266053886314711751015927 % h = 0.001 TOP MAIN SOLVE Loop memory used=2346.0MB, alloc=4.6MB, time=271.27 NO POLE NO POLE x[1] = 0.883 y2[1] (analytic) = 1.7726468611420323707449718030637 y2[1] (numeric) = 0.20988979828577694471344522068686 absolute error = 1.5627570628562554260315265823768 relative error = 88.159525572366122945656196643394 % h = 0.001 y1[1] (analytic) = 1.7726468611420323707449718030637 y1[1] (numeric) = 1.8133375530035691615206197506483 absolute error = 0.0406906918615367907756479475846 relative error = 2.2954764851089238525977562654111 % h = 0.001 TOP MAIN SOLVE Loop memory used=2349.9MB, alloc=4.6MB, time=271.48 NO POLE NO POLE x[1] = 0.884 y2[1] (analytic) = 1.7732813107766801961804902247626 y2[1] (numeric) = 0.20261267033047256899295438207458 absolute error = 1.570668640446207627187535842688 relative error = 88.574138288203682480899591471937 % h = 0.001 y1[1] (analytic) = 1.7732813107766801961804902247626 y1[1] (numeric) = 1.8140609346996200617950262398365 absolute error = 0.0407796239229398656145360150739 relative error = 2.2996703159905735256858895755772 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.885 y2[1] (analytic) = 1.7739149871300816850428958523849 y2[1] (numeric) = 0.19530511341137369669842766002583 absolute error = 1.5786098737187079883444681923591 relative error = 88.990164983760187500526476711634 % h = 0.001 y1[1] (analytic) = 1.7739149871300816850428958523849 y1[1] (numeric) = 1.8147835956579369533310567770489 absolute error = 0.040868608527855268288160924664 relative error = 2.3038651132867598760346955655552 % h = 0.001 TOP MAIN SOLVE Loop memory used=2353.7MB, alloc=4.6MB, time=271.69 NO POLE NO POLE x[1] = 0.886 y2[1] (analytic) = 1.7745478895685605367370608467703 y2[1] (numeric) = 0.18796705549922028775881103726648 absolute error = 1.5865808340693402489782498095038 relative error = 89.407608743378571555874492405742 % h = 0.001 y1[1] (analytic) = 1.7745478895685605367370608467703 y1[1] (numeric) = 1.8155055350455725890690742464937 absolute error = 0.0409576454770120523320133997234 relative error = 2.3080608710407887479336326572054 % h = 0.001 TOP MAIN SOLVE Loop memory used=2357.5MB, alloc=4.6MB, time=271.90 NO POLE NO POLE x[1] = 0.887 y2[1] (analytic) = 1.7751800174592143655260016289292 y2[1] (numeric) = 0.18059842449609305899648528386736 absolute error = 1.5945815929631213065295163450618 relative error = 89.82647265517439857772294209048 % h = 0.001 y1[1] (analytic) = 1.7751800174592143655260016289292 y1[1] (numeric) = 1.8162267520301913998084552439157 absolute error = 0.0410467345709770342824536149865 relative error = 2.3122575833028214677093621656774 % h = 0.001 TOP MAIN SOLVE Loop memory used=2361.3MB, alloc=4.6MB, time=272.11 NO POLE NO POLE x[1] = 0.888 y2[1] (analytic) = 1.7758113701699153334332118751625 y2[1] (numeric) = 0.17319914823549330269361055872714 absolute error = 1.6026122219344220307396013164354 relative error = 90.246759811042258834844548332554 % h = 0.001 y1[1] (analytic) = 1.7758113701699153334332118751625 y1[1] (numeric) = 1.8169472457800704226123680856757 absolute error = 0.0411358756101550891791562105132 relative error = 2.3164552441298467712402280214628 % h = 0.001 TOP MAIN SOLVE Loop memory used=2365.1MB, alloc=4.6MB, time=272.31 NO POLE NO POLE x[1] = 0.889 y2[1] (analytic) = 1.7764419470693107823704478162497 y2[1] (numeric) = 0.16576915448242278582241555754439 absolute error = 1.6106727925868879965480322587053 relative error = 90.668473306662183221675752403555 % h = 0.001 y1[1] (analytic) = 1.7764419470693107823704478162497 y1[1] (numeric) = 1.8176670154641002287245936702014 absolute error = 0.0412250683947894463541458539517 relative error = 2.3206538475856527956820611137096 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.89 y2[1] (analytic) = 1.7770717475268238654903337129732 y2[1] (numeric) = 0.15830837093346372987006111194982 absolute error = 1.6187633765933601356202726010234 relative error = 91.091616241506075882661008493556 % h = 0.001 y1[1] (analytic) = 1.7770717475268238654903337129732 y1[1] (numeric) = 1.8183860602517858509973816593974 absolute error = 0.0413143127249619855070479464242 relative error = 2.3248533877407991351498816159629 % h = 0.001 TOP MAIN SOLVE Loop memory used=2368.9MB, alloc=4.6MB, time=272.52 NO POLE NO POLE x[1] = 0.891 y2[1] (analytic) = 1.7777007709126541777631561554249 y2[1] (numeric) = 0.15081672521685887118861681042988 absolute error = 1.626884045695795306574539344995 relative error = 91.516191718844165181003354408008 % h = 0.001 y1[1] (analytic) = 1.7777007709126541777631561554249 y1[1] (numeric) = 1.8191043793132477108293347993095 absolute error = 0.0414036084005935330661786438846 relative error = 2.3290538586725889601009322902289 % h = 0.001 TOP MAIN SOLVE Loop memory used=2372.7MB, alloc=4.6MB, time=272.72 NO POLE NO POLE x[1] = 0.892 y2[1] (analytic) = 1.7783290165977783857772166093547 y2[1] (numeric) = 0.14329414489259160180059793493581 absolute error = 1.6350348717051867839766186744189 relative error = 91.942202845751473019730079372673 % h = 0.001 y1[1] (analytic) = 1.7783290165977783857772166093547 y1[1] (numeric) = 1.8198219718192225446123145521141 absolute error = 0.0414929552214441588350979427594 relative error = 2.3332552544650412001653315939104 % h = 0.001 TOP MAIN SOLVE Loop memory used=2376.6MB, alloc=4.6MB, time=272.93 NO POLE NO POLE x[1] = 0.893 y2[1] (analytic) = 1.7789564839539508567621124092591 y2[1] (numeric) = 0.1357405574524661905904187877378 absolute error = 1.6432159265014846661716936215213 relative error = 92.369652733114302523158558413966 % h = 0.001 y1[1] (analytic) = 1.7789564839539508567621124092591 y1[1] (numeric) = 1.820538836941064329686361565348 absolute error = 0.0415823529871134729242491560889 relative error = 2.3374575692088627901714874538663 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2380.4MB, alloc=4.6MB, time=273.14 x[1] = 0.894 y2[1] (analytic) = 1.7795831723537042868343171749836 y2[1] (numeric) = 0.12815589032018808481202732125311 absolute error = 1.6514272820335162020222898537305 relative error = 92.798544495636744087023284801097 % h = 0.001 y1[1] (analytic) = 1.7795831723537042868343171749836 y1[1] (numeric) = 1.821254973850745209801624859207 absolute error = 0.0416718014970409229673076842234 relative error = 2.3416607970014209791142608382751 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.895 y2[1] (analytic) = 1.780209081170350328464432406308 y2[1] (numeric) = 0.12054007085144429184289487934966 absolute error = 1.6596690103189060366215375269583 relative error = 93.228881251847199805700810233003 % h = 0.001 y1[1] (analytic) = 1.780209081170350328464432406308 y1[1] (numeric) = 1.8219703817208564200862939687201 absolute error = 0.0417613005505060916218615624121 relative error = 2.3458649319467157018147127672503 % h = 0.001 TOP MAIN SOLVE Loop memory used=2384.2MB, alloc=4.6MB, time=273.35 NO POLE NO POLE x[1] = 0.896 y2[1] (analytic) = 1.7808342097779802171654827883184 y2[1] (numeric) = 0.11289302633398384111444381210318 absolute error = 1.6679411834439963760510389762152 relative error = 93.66066612410492628514469981942 % h = 0.001 y1[1] (analytic) = 1.7808342097779802171654827883184 y1[1] (numeric) = 1.822685059724609211519528634655 absolute error = 0.0418508499466289943540458463366 relative error = 2.3500699681553520130211091726533 % h = 0.001 TOP MAIN SOLVE Loop memory used=2388.0MB, alloc=4.6MB, time=273.56 NO POLE NO POLE x[1] = 0.897 y2[1] (analytic) = 1.7814585575514653974016285193201 y2[1] (numeric) = 0.10521468398769832614890473726703 absolute error = 1.6762438735637670712527237820531 relative error = 94.093902238606595850317728421203 % h = 0.001 y1[1] (analytic) = 1.7814585575514653974016285193201 y1[1] (numeric) = 1.8233990070358357749083809951254 absolute error = 0.0419404494843703775067524758053 relative error = 2.3542758997445125837016950635142 % h = 0.001 TOP MAIN SOLVE Loop memory used=2391.8MB, alloc=4.6MB, time=273.76 NO POLE NO POLE x[1] = 0.898 y2[1] (analytic) = 1.7820821238664581477166687526331 y2[1] (numeric) = 0.097504970964702526632504290899012 absolute error = 1.6845771529017556210841644617341 relative error = 94.528592725392876156083389550696 % h = 0.001 y1[1] (analytic) = 1.7820821238664581477166687526331 y1[1] (numeric) = 1.8241122228289901643677055890518 absolute error = 0.0420300989625320166510368364187 relative error = 2.3584827208379302592805827907679 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.899 y2[1] (analytic) = 1.7827049080993922050817110238177 y2[1] (numeric) = 0.089763814349415110454793336779325 absolute error = 1.6929410937499770946269176870384 relative error = 94.964740718355028210693360746872 % h = 0.001 y1[1] (analytic) = 1.7827049080993922050817110238177 y1[1] (numeric) = 1.8248247062791492203020528428774 absolute error = 0.0421197981797570152203418190597 relative error = 2.3626904255658606795689288508245 % h = 0.001 TOP MAIN SOLVE Loop memory used=2395.6MB, alloc=4.6MB, time=273.97 NO POLE NO POLE x[1] = 0.9 y2[1] (analytic) = 1.7833269096274833884613823157136 y2[1] (numeric) = 0.081991141158639415643834789548454 absolute error = 1.7013357684688439728175475261651 relative error = 95.402349355241522821181873080992 % h = 0.001 y1[1] (analytic) = 1.7833269096274833884613823157136 y1[1] (numeric) = 1.8255364565620134918885420732558 absolute error = 0.0422095469345301034271597575422 relative error = 2.3668990080650549601443996368369 % h = 0.001 TOP MAIN SOLVE Loop memory used=2399.4MB, alloc=4.6MB, time=274.18 NO POLE NO POLE x[1] = 0.901 y2[1] (analytic) = 1.7839481278287302215979581951327 y2[1] (numeric) = 0.074186878341644312126879449993037 absolute error = 1.7097612494870859094710787451397 relative error = 95.841421777664675470151970154552 % h = 0.001 y1[1] (analytic) = 1.7839481278287302215979581951327 y1[1] (numeric) = 1.8262474728539081590597104008097 absolute error = 0.042299345025177937461752205677 relative error = 2.3711084624787324349327488558812 % h = 0.001 TOP MAIN SOLVE Loop memory used=2403.3MB, alloc=4.6MB, time=274.38 NO POLE NO POLE x[1] = 0.902 y2[1] (analytic) = 1.7845685620819145550127872371293 y2[1] (numeric) = 0.066350952780245143246067552711914 absolute error = 1.7182176093016694117667196844174 relative error = 96.281961131107299633612416549308 % h = 0.001 y1[1] (analytic) = 1.7845685620819145550127872371293 y1[1] (numeric) = 1.8269577543317839539853343335082 absolute error = 0.0423891922498693989725470963789 relative error = 2.3753187829565534597461479949381 % h = 0.001 TOP MAIN SOLVE Loop memory used=2407.1MB, alloc=4.6MB, time=274.59 NO POLE NO POLE x[1] = 0.903 y2[1] (analytic) = 1.7851882117666021872243887354735 y2[1] (numeric) = 0.058483291288884746958603086603445 absolute error = 1.7267049204777174402657856488701 relative error = 96.723970564929378549697530097134 % h = 0.001 y1[1] (analytic) = 1.7851882117666021872243887354735 y1[1] (numeric) = 1.8276673001732180820522211427247 absolute error = 0.0424790884066158948278324072512 relative error = 2.379529963654592276533726254688 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.904 y2[1] (analytic) = 1.7858070762631434851826024812843 y2[1] (numeric) = 0.0505838206147145566507573673288 absolute error = 1.7352232556484289285318451139555 relative error = 97.167453232374755448275469460935 % h = 0.001 y1[1] (analytic) = 1.7858070762631434851826024812843 y1[1] (numeric) = 1.8283761095564151423409675206182 absolute error = 0.0425690332932716571583650393339 relative error = 2.3837419987353099381005877927277 % h = 0.001 TOP MAIN SOLVE Loop memory used=2410.9MB, alloc=4.6MB, time=274.80 NO POLE NO POLE x[1] = 0.905 y2[1] (analytic) = 1.7864251549526740039181701757212 y2[1] (numeric) = 0.042652467437675781494967818224153 absolute error = 1.743772687514998222423202357497 relative error = 97.612412290577842251623511254776 % h = 0.001 y1[1] (analytic) = 1.7864251549526740039181701757212 y1[1] (numeric) = 1.8290841816602080475986833741257 absolute error = 0.0426590267075340436805131984045 relative error = 2.3879548823675272930523819432338 % h = 0.001 TOP MAIN SOLVE Loop memory used=2414.7MB, alloc=4.6MB, time=275.01 NO POLE NO POLE x[1] = 0.906 y2[1] (analytic) = 1.787042447217115105407128827208 y2[1] (numeric) = 0.0346891583705806662792074521574 absolute error = 1.7523532888465344391279213750506 relative error = 98.058850900570346756521602166856 % h = 0.001 y1[1] (analytic) = 1.787042447217115105407128827208 y1[1] (numeric) = 1.8297915156640589437066789785666 absolute error = 0.0427490684469438382995501513586 relative error = 2.392168608726398030723306322781 % h = 0.001 TOP MAIN SOLVE Loop memory used=2418.5MB, alloc=4.6MB, time=275.21 NO POLE NO POLE x[1] = 0.907 y2[1] (analytic) = 1.7876589524391745766493972688437 y2[1] (numeric) = 0.026693819959193830637710141651965 absolute error = 1.7609651324799807460116871271917 relative error = 98.506772227288018308287974160374 % h = 0.001 y1[1] (analytic) = 1.7876589524391745766493972688437 y1[1] (numeric) = 1.8304981107480601286421140826345 absolute error = 0.0428391583088855519927168137908 relative error = 2.3963831719933817858462234084342 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2422.3MB, alloc=4.6MB, time=275.42 x[1] = 0.908 y2[1] (analytic) = 1.7882746700023472469609377174681 y2[1] (numeric) = 0.018666378682313687612046418331236 absolute error = 1.7696082913200335593488912991369 relative error = 98.956179439577411977452867680391 % h = 0.001 y1[1] (analytic) = 1.7882746700023472469609377174681 y1[1] (numeric) = 1.8312039660929349709326079263954 absolute error = 0.0429292960905877239716702089273 relative error = 2.4005985663562173027243682986236 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.909 y2[1] (analytic) = 1.78888959929091560447887508227 y2[1] (numeric) = 0.010606760951853941471454255471877 absolute error = 1.7782828383390616630074208267981 relative error = 99.407075710202671249938421745934 % h = 0.001 y1[1] (analytic) = 1.78888959929091560447887508227 y1[1] (numeric) = 1.8319090808800388276028095048157 absolute error = 0.0430194815891232231239344225457 relative error = 2.4048147860088956586649189557742 % h = 0.001 TOP MAIN SOLVE Loop memory used=2426.2MB, alloc=4.6MB, time=275.63 NO POLE NO POLE x[1] = 0.91 y2[1] (analytic) = 1.7895037396899504118789575178716 y2[1] (numeric) = 0.0025148931129251647212390592923682 absolute error = 1.7869888465770252471577184585792 relative error = 99.859464215852329241784563703049 % h = 0.001 y1[1] (analytic) = 1.7895037396899504118789575178716 y1[1] (numeric) = 1.832613454291359961611927781316 absolute error = 0.0431097146014095497329702634444 relative error = 2.409031825151633546435490296702 % h = 0.001 TOP MAIN SOLVE Loop memory used=2430.0MB, alloc=4.6MB, time=275.84 NO POLE NO POLE x[1] = 0.911 y2[1] (analytic) = 1.7901170905853113213047425044789 y2[1] (numeric) = -0.0056092985560835457720330743557534 absolute error = 1.7957263891413948670767755788347 relative error = 100.31334813714612844963226809181 % h = 0.001 y1[1] (analytic) = 1.7901170905853113213047425044789 y1[1] (numeric) = 1.8333170855095204587812219288802 absolute error = 0.0431999949242091374764794244013 relative error = 2.4132496779908466155054000578791 % h = 0.001 TOP MAIN SOLVE Loop memory used=2433.8MB, alloc=4.6MB, time=276.05 NO POLE NO POLE x[1] = 0.912 y2[1] (analytic) = 1.7907296513636474885078935259636 y2[1] (numeric) = -0.013765887843422833609914890882732 absolute error = 1.8044955392070703221178084168463 relative error = 100.76873065864185904834685636696 % h = 0.001 y1[1] (analytic) = 1.7907296513636474885078935259636 y1[1] (numeric) = 1.83401997371777714421045205035 absolute error = 0.0432903223541296557025585243864 relative error = 2.4174683387391228718343374326059 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.913 y2[1] (analytic) = 1.7913414214123981861989732056309 y2[1] (numeric) = -0.021954948603901268717486398684454 absolute error = 1.8132963700162994549164596043154 relative error = 101.22561496884221574733507992434 % h = 0.001 y1[1] (analytic) = 1.7913414214123981861989732056309 y1[1] (numeric) = 1.8347221181000224981822912046962 absolute error = 0.0433806966876243119833179990653 relative error = 2.4216878016151961359718450707875 % h = 0.001 TOP MAIN SOLVE Loop memory used=2437.6MB, alloc=4.6MB, time=276.26 NO POLE NO POLE x[1] = 0.914 y2[1] (analytic) = 1.7919524001197934166081195489314 y2[1] (numeric) = -0.030176554758803454296338275690798 absolute error = 1.8221289548785968709044578246222 relative error = 101.68400426020167321728057083121 % h = 0.001 y1[1] (analytic) = 1.7919524001197934166081195489314 y1[1] (numeric) = 1.8354235178407855715536999422873 absolute error = 0.0434711177209921549455803933559 relative error = 2.4259080608439195592318011645013 % h = 0.001 TOP MAIN SOLVE Loop memory used=2441.4MB, alloc=4.6MB, time=276.47 NO POLE NO POLE x[1] = 0.915 y2[1] (analytic) = 1.7925625868748545232549927324916 y2[1] (numeric) = -0.038430780295808054946766285885424 absolute error = 1.830993367170662578201759018377 relative error = 102.14390172913338009919286063822 % h = 0.001 y1[1] (analytic) = 1.7925625868748545232549927324916 y1[1] (numeric) = 1.836124172125232900633264929463 absolute error = 0.0435615852503783773782721969714 relative error = 2.4301291106562391977068610281832 % h = 0.001 TOP MAIN SOLVE Loop memory used=2445.2MB, alloc=4.6MB, time=276.68 NO POLE NO POLE x[1] = 0.916 y2[1] (analytic) = 1.7931719810673948019273806695674 y2[1] (numeric) = -0.046717699268905746030902602394996 absolute error = 1.8398896803363005479582832719624 relative error = 102.60531057601607160783556044994 % h = 0.001 y1[1] (analytic) = 1.7931719810673948019273806695674 y1[1] (numeric) = 1.8368240801391694215435036210755 absolute error = 0.0436520990717746196161229515081 relative error = 2.4343509452891676438885868362172 % h = 0.001 TOP MAIN SOLVE Loop memory used=2449.0MB, alloc=4.6MB, time=276.89 NO POLE NO POLE x[1] = 0.917 y2[1] (analytic) = 1.7937805820880201108678523733656 y2[1] (numeric) = -0.055037385798317084348599745397078 absolute error = 1.8488179678863371952164521187627 relative error = 103.06823400520100074176946783275 % h = 0.001 y1[1] (analytic) = 1.7937805820880201108678523733656 y1[1] (numeric) = 1.837523241069039384067137319077 absolute error = 0.0437426589810192731992849457114 relative error = 2.4385735589857577156597600172828 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.918 y2[1] (analytic) = 1.7943883893281294801678489316321 y2[1] (numeric) = -0.063389914070410300197972594848119 absolute error = 1.8577783033985397803658215264802 relative error = 103.53267522501888811241632091055 % h = 0.001 y1[1] (analytic) = 1.7943883893281294801678489316321 y1[1] (numeric) = 1.8382216541019272649763353357101 absolute error = 0.043833264773797784808486404078 relative error = 2.4427969459950762024261332385149 % h = 0.001 TOP MAIN SOLVE Loop memory used=2452.9MB, alloc=4.6MB, time=277.10 NO POLE NO POLE x[1] = 0.919 y2[1] (analytic) = 1.7949954021799157203686026984643 y2[1] (numeric) = -0.071775358337619010892593629786779 absolute error = 1.8667707605175347312611963282511 relative error = 103.99863744778689040471865990413 % h = 0.001 y1[1] (analytic) = 1.7949954021799157203686026984643 y1[1] (numeric) = 1.8389193184255586808439333613988 absolute error = 0.0439239162456429604753306629345 relative error = 2.4470211005721776681556379582558 % h = 0.001 TOP MAIN SOLVE Loop memory used=2456.7MB, alloc=4.6MB, time=277.30 NO POLE NO POLE x[1] = 0.92 y2[1] (analytic) = 1.7956016200363660302682761024816 y2[1] (numeric) = -0.080193792918359855807426177624115 absolute error = 1.8757954129547258860757022801057 relative error = 104.46612388981558748214078415857 % h = 0.001 y1[1] (analytic) = 1.7956016200363660302682761024816 y1[1] (numeric) = 1.839616233228301300335629520043 absolute error = 0.0440146131919352700673534175614 relative error = 2.4512460169780783110938191976447 % h = 0.001 TOP MAIN SOLVE Loop memory used=2460.5MB, alloc=4.6MB, time=277.51 NO POLE NO POLE x[1] = 0.921 y2[1] (analytic) = 1.7962070422912626039347122642647 y2[1] (numeric) = -0.088645292196950053025670028291746 absolute error = 1.8848523344882126569603822925564 relative error = 104.93513777141598814892511111997 % h = 0.001 y1[1] (analytic) = 1.7962070422912626039347122642647 y1[1] (numeric) = 1.840312397699165755982161978082 absolute error = 0.0441053554079031520474497138173 relative error = 2.4554716894797298799250214934046 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2464.3MB, alloc=4.6MB, time=277.72 x[1] = 0.922 y2[1] (analytic) = 1.7968116683391832369231904103635 y2[1] (numeric) = -0.097129930623524877658783279282878 absolute error = 1.8939415989627081145819736896464 relative error = 105.40568231690655458268735550023 % h = 0.001 y1[1] (analytic) = 1.7968116683391832369231904103635 y1[1] (numeric) = 1.8410078110278065554304723584224 absolute error = 0.0441961426886233185072819480589 relative error = 2.4596981123499936461495989610297 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.923 y2[1] (analytic) = 1.797415497575501931698579866169 y2[1] (numeric) = -0.10564778271395506191203372838996 absolute error = 1.903063280289456993610613594559 relative error = 105.87776075462024545060285473279 % h = 0.001 y1[1] (analytic) = 1.797415497575501931698579866169 y1[1] (numeric) = 1.8417024724045229921728595961122 absolute error = 0.0442869748290210604742797299432 relative error = 2.4639252798676144324481680330267 % h = 0.001 TOP MAIN SOLVE Loop memory used=2468.1MB, alloc=4.6MB, time=277.92 NO POLE NO POLE x[1] = 0.924 y2[1] (analytic) = 1.7980185293963895022612872055464 y2[1] (numeric) = -0.11419892304976411696802252121771 absolute error = 1.9122174524461536192293097267641 relative error = 106.35137631691157772260507348812 % h = 0.001 y1[1] (analytic) = 1.7980185293963895022612872055464 y1[1] (numeric) = 1.8423963810202600557531292594939 absolute error = 0.0443778516238705534918420539475 relative error = 2.4681531863171946968046637554608 % h = 0.001 TOP MAIN SOLVE Loop memory used=2471.9MB, alloc=4.6MB, time=278.13 NO POLE NO POLE x[1] = 0.925 y2[1] (analytic) = 1.7986207631988141779763919313308 y2[1] (numeric) = -0.12278342627804557676071209023242 absolute error = 1.9214041894768597547371040215632 relative error = 106.82653224016370719518582819434 % h = 0.001 y1[1] (analytic) = 1.7986207631988141779763919313308 y1[1] (numeric) = 1.843089536066609341448743748481 absolute error = 0.0444687728677951634723518171502 relative error = 2.4723818259891686721606995417997 % h = 0.001 TOP MAIN SOLVE Loop memory used=2475.7MB, alloc=4.6MB, time=278.34 NO POLE NO POLE x[1] = 0.926 y2[1] (analytic) = 1.7992221983805422066053668576022 y2[1] (numeric) = -0.13140136711138016371257969109871 absolute error = 1.9306235654919223703179465487009 relative error = 107.30323176479552773955508489182 % h = 0.001 y1[1] (analytic) = 1.7992221983805422066053668576022 y1[1] (numeric) = 1.8437819367358099594279791705716 absolute error = 0.0445597383552677528226123129694 relative error = 2.4766111931797765613744660092115 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.927 y2[1] (analytic) = 1.7998228343401384565397801620681 y2[1] (numeric) = -0.14005282032775287650760705025456 absolute error = 1.9398756546678913330473872123227 relative error = 107.78147813526878928808630303389 % h = 0.001 y1[1] (analytic) = 1.7998228343401384565397801620681 y1[1] (numeric) = 1.8444735822207494433810950852482 absolute error = 0.0446507478806109868413149231801 relative error = 2.4808412821910387872581369742249 % h = 0.001 TOP MAIN SOLVE Loop memory used=2479.6MB, alloc=4.6MB, time=278.54 NO POLE NO POLE x[1] = 0.928 y2[1] (analytic) = 1.8004226704769670182363768749028 y2[1] (numeric) = -0.14873786077046999997290578498569 absolute error = 1.9491605312474370182092826598885 relative error = 108.26127460009523457314122670735 % h = 0.001 y1[1] (analytic) = 1.8004226704769670182363768749028 y1[1] (numeric) = 1.8451644717149646586245236985023 absolute error = 0.0447418012379976403881468235995 relative error = 2.4850720873307302974684798743913 % h = 0.001 TOP MAIN SOLVE Loop memory used=2483.4MB, alloc=4.6MB, time=278.75 NO POLE NO POLE x[1] = 0.929 y2[1] (analytic) = 1.8010217061911918048529383690117 y2[1] (numeric) = -0.15745656334807603714186734358212 absolute error = 1.9584782695392678419948057125938 relative error = 108.74262441184375463253576586109 % h = 0.001 y1[1] (analytic) = 1.8010217061911918048529383690117 y1[1] (numeric) = 1.8458546044126427096770854813773 absolute error = 0.0448328982214509048241471123656 relative error = 2.4893036029123549240260938252702 % h = 0.001 TOP MAIN SOLVE Loop memory used=2487.2MB, alloc=4.6MB, time=278.96 NO POLE NO POLE x[1] = 0.93 y2[1] (analytic) = 1.8016199408837771520843192159106 y2[1] (numeric) = -0.16620900303427056357181523839462 absolute error = 1.9678289439180477156561344543052 relative error = 109.22553082714756309607616616242 % h = 0.001 y1[1] (analytic) = 1.8016199408837771520843192159106 y1[1] (numeric) = 1.8465439795086218473072385796342 absolute error = 0.0449240386248446952229193637236 relative error = 2.4935358232551197972394212305816 % h = 0.001 TOP MAIN SOLVE Loop memory used=2491.0MB, alloc=4.6MB, time=279.17 NO POLE NO POLE x[1] = 0.931 y2[1] (analytic) = 1.8022173739564884171980615712348 y2[1] (numeric) = -0.17499525486782500398922630865799 absolute error = 1.9772126288243134211872878798928 relative error = 109.70999710671138926776203970461 % h = 0.001 y1[1] (analytic) = 1.8022173739564884171980615712348 y1[1] (numeric) = 1.8472325961983923750503697759165 absolute error = 0.0450152222419039578523082046817 relative error = 2.4977687426839098138103983515592 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.932 y2[1] (analytic) = 1.802814004811892577268988054311 y2[1] (numeric) = -0.18381539395249933133567665271285 absolute error = 1.9866293987643919086046647070238 relative error = 110.19602651531869001842002261366 % h = 0.001 y1[1] (analytic) = 1.802814004811892577268988054311 y1[1] (numeric) = 1.8479204536780975551951351611237 absolute error = 0.0451064488662049779261471068127 relative error = 2.5020023555292621588993265234683 % h = 0.001 TOP MAIN SOLVE Loop memory used=2494.8MB, alloc=4.6MB, time=279.37 NO POLE NO POLE x[1] = 0.933 y2[1] (analytic) = 1.8034098328533588266121748872515 y2[1] (numeric) = -0.19266949545695868828775671063955 absolute error = 1.996079328310317514899931597891 relative error = 110.68362232183888050369884228614 % h = 0.001 y1[1] (analytic) = 1.8034098328533588266121748872515 y1[1] (numeric) = 1.8486075511445345142378590680901 absolute error = 0.0451977182911756876256841808386 relative error = 2.5062366561273408819272587951414 % h = 0.001 TOP MAIN SOLVE Loop memory used=2498.6MB, alloc=4.6MB, time=279.58 NO POLE NO POLE x[1] = 0.934 y2[1] (analytic) = 1.8040048574850591734137078606457 y2[1] (numeric) = -0.20155763461468993132428875821814 absolute error = 2.0055624920997491047379966188638 relative error = 111.17278779923458372252341916533 % h = 0.001 y1[1] (analytic) = 1.8040048574850591734137078606457 y1[1] (numeric) = 1.849293887795155147804000218117 absolute error = 0.0452890303100959743902923574713 relative error = 2.510471638819911525894906676262 % h = 0.001 TOP MAIN SOLVE Loop memory used=2502.4MB, alloc=4.6MB, time=279.79 NO POLE NO POLE x[1] = 0.935 y2[1] (analytic) = 1.8045990781119690355586244951433 y2[1] (numeric) = -0.21047988672391809741426879144898 absolute error = 2.0150789648358871329728932865923 relative error = 111.66352622456889893127229825159 % h = 0.001 y1[1] (analytic) = 1.8045990781119690355586244951433 y1[1] (numeric) = 1.8499794628280670250356944294141 absolute error = 0.0453803847160979894770699342708 relative error = 2.5147072979543158099977784190115 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2506.3MB, alloc=4.6MB, time=279.99 x[1] = 0.936 y2[1] (analytic) = 1.8051924941398678356554465710368 y2[1] (numeric) = -0.21943632714752279339904343751035 absolute error = 2.0246288212873906290544900085472 relative error = 112.15584087901268892910920656131 % h = 0.001 y1[1] (analytic) = 1.8051924941398678356554465710368 y1[1] (numeric) = 1.8506642754420342924443836360697 absolute error = 0.0454717813021664567889370650329 relative error = 2.5189436278834463653179638494016 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.937 y2[1] (analytic) = 1.8057851049753395952567080013595 y2[1] (numeric) = -0.22842703131295450814232112289491 absolute error = 2.0342121362882941033990291242544 relative error = 112.64973504785188623006586710221 % h = 0.001 y1[1] (analytic) = 1.8057851049753395952567080013595 y1[1] (numeric) = 1.8513483248364785772275413667953 absolute error = 0.0455632198611389819708333654358 relative error = 2.5231806229657215233736812125677 % h = 0.001 TOP MAIN SOLVE Loop memory used=2510.1MB, alloc=4.6MB, time=280.20 NO POLE NO POLE x[1] = 0.938 y2[1] (analytic) = 1.8063769100257735282748838280223 y2[1] (numeric) = -0.23745207471215084752170526245672 absolute error = 2.043828984737924375796589090479 relative error = 113.14521202049481813763937022212 % h = 0.001 y1[1] (analytic) = 1.8063769100257735282748838280223 y1[1] (numeric) = 1.8520316102114798900485052343715 absolute error = 0.0456547001857063617736214063492 relative error = 2.5274182775650601573083988180425 % h = 0.001 TOP MAIN SOLVE Loop memory used=2513.9MB, alloc=4.6MB, time=280.41 NO POLE NO POLE x[1] = 0.939 y2[1] (analytic) = 1.8069679086993646335931269251073 y2[1] (numeric) = -0.24651153290145269233552570411728 absolute error = 2.0534794416008173259286526292246 relative error = 113.64227509047955073783341200328 % h = 0.001 y1[1] (analytic) = 1.8069679086993646335931269251073 y1[1] (numeric) = 1.8527141307677775272784273894612 absolute error = 0.0457462220684128936853004643539 relative error = 2.5316565860508565755020384793776 % h = 0.001 TOP MAIN SOLVE Loop memory used=2517.7MB, alloc=4.6MB, time=280.62 NO POLE NO POLE x[1] = 0.94 y2[1] (analytic) = 1.8075581004051142868702197986342 y2[1] (numeric) = -0.25560548150152027919883307292395 absolute error = 2.0631635819066345660690528715582 relative error = 114.14092755548125182673855929853 % h = 0.001 y1[1] (analytic) = 1.8075581004051142868702197986342 y1[1] (numeric) = 1.8533958857067709726993542962517 absolute error = 0.0458377853016566858291344976175 relative error = 2.5358955427979554673874588494326 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.941 y2[1] (analytic) = 1.8081474845528308315391496778929 y2[1] (numeric) = -0.264733996197249204502509004929 absolute error = 2.0728814807500800360416586828219 relative error = 114.64117271731957278891239461577 % h = 0.001 y1[1] (analytic) = 1.8081474845528308315391496778929 y1[1] (numeric) = 1.8540768742305207986674475922436 absolute error = 0.0459293896776899671282979143507 relative error = 2.5401351421866269012561047727273 % h = 0.001 TOP MAIN SOLVE Loop memory used=2521.5MB, alloc=4.6MB, time=280.82 NO POLE NO POLE x[1] = 0.942 y2[1] (analytic) = 1.8087360605531301689987158998209 y2[1] (numeric) = -0.27389715273768635150953354586464 absolute error = 2.0826332132908165205082494456855 relative error = 115.14301388196604944298593391931 % h = 0.001 y1[1] (analytic) = 1.8087360605531301689987158998209 y1[1] (numeric) = 1.854757095541749566735358200411 absolute error = 0.0460210349886193977366423005901 relative error = 2.5443753786025413738373937200927 % h = 0.001 TOP MAIN SOLVE Loop memory used=2525.3MB, alloc=4.6MB, time=281.03 NO POLE NO POLE x[1] = 0.943 y2[1] (analytic) = 1.8093238278174363479975793948635 y2[1] (numeric) = -0.28309502693594574066253921173002 absolute error = 2.0924188547533820886601186065935 relative error = 115.64645435955152187108809909275 % h = 0.001 y1[1] (analytic) = 1.8093238278174363479975793948635 y1[1] (numeric) = 1.8554365488438427277327662689285 absolute error = 0.046112721026406379735186874065 relative error = 2.5486162464367449114370922539475 % h = 0.001 TOP MAIN SOLVE Loop memory used=2529.1MB, alloc=4.6MB, time=281.24 NO POLE NO POLE x[1] = 0.944 y2[1] (analytic) = 1.8099107857579821532101648903185 y2[1] (numeric) = -0.2923276946691243031768693680828 absolute error = 2.1022384804271064563870342584013 relative error = 116.15149746437357324884526684984 % h = 0.001 y1[1] (analytic) = 1.8099107857579821532101648903185 y1[1] (numeric) = 1.8561152333408495213040999216793 absolute error = 0.0462044475828673680939350313608 relative error = 2.5528577400856342224206143049506 % h = 0.001 TOP MAIN SOLVE Loop memory used=2533.0MB, alloc=4.6MB, time=281.44 NO POLE NO POLE x[1] = 0.945 y2[1] (analytic) = 1.8104969337878096930038272553123 y2[1] (numeric) = -0.30159523187821757799344668194218 absolute error = 2.1120921656660272709972739372545 relative error = 116.65814651490398769287800983294 % h = 0.001 y1[1] (analytic) = 1.8104969337878096930038272553123 y1[1] (numeric) = 1.8567931482374838749024462118417 absolute error = 0.0462962144496741818986189565294 relative error = 2.5570998539509319008278488373914 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.946 y2[1] (analytic) = 1.8110822713207709863966942202884 y2[1] (numeric) = -0.31089771456803533216584543466441 absolute error = 2.1219799858888063185625396549528 relative error = 117.16640483379622714288209604037 % h = 0.001 y1[1] (analytic) = 1.8110822713207709863966942202884 y1[1] (numeric) = 1.8574702927391253022386680809831 absolute error = 0.0463880214183543158419738606947 relative error = 2.561342582439661680906797252805 % h = 0.001 TOP MAIN SOLVE Loop memory used=2536.8MB, alloc=4.6MB, time=281.65 NO POLE NO POLE x[1] = 0.947 y2[1] (analytic) = 1.8116667977715285492055985132169 y2[1] (numeric) = -0.3202352188071171047560494558479 absolute error = 2.1319020165786456539616479690648 relative error = 117.67627574789292729554562210598 % h = 0.001 y1[1] (analytic) = 1.8116667977715285492055985132169 y1[1] (numeric) = 1.8581466660518198011847415372825 absolute error = 0.0464798682802912519791430240656 relative error = 2.5655859199641237423539706418157 % h = 0.001 TOP MAIN SOLVE Loop memory used=2540.6MB, alloc=4.6MB, time=281.87 NO POLE NO POLE x[1] = 0.948 y2[1] (analytic) = 1.8122505125555559793835132646391 y2[1] (numeric) = -0.32960782072764767431346534716502 absolute error = 2.1418583332832036536969786118041 relative error = 118.18776258823341260771882683734 % h = 0.001 y1[1] (analytic) = 1.8122505125555559793835132646391 y1[1] (numeric) = 1.8588222673822807511303276787469 absolute error = 0.0465717548267247717468144141078 relative error = 2.5698298609418700660501637560624 % h = 0.001 TOP MAIN SOLVE Loop memory used=2544.4MB, alloc=4.6MB, time=282.07 NO POLE NO POLE x[1] = 0.949 y2[1] (analytic) = 1.8128334150891385415459053441629 y2[1] (numeric) = -0.33901559652537245001184851090413 absolute error = 2.151849011614510991557753855067 relative error = 118.70086869006123038641766632193 % h = 0.001 y1[1] (analytic) = 1.8128334150891385415459053441629 y1[1] (numeric) = 1.8594970959378898097915946005883 absolute error = 0.0466636808487512682456892564254 relative error = 2.574074399795679840080886346841 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2548.2MB, alloc=4.6MB, time=282.28 x[1] = 0.95 y2[1] (analytic) = 1.8134155047893737506854221021026 y2[1] (numeric) = -0.34845862245951278651888728084015 absolute error = 2.1618741272488865372043093829428 relative error = 119.21559739283170398340663333912 % h = 0.001 y1[1] (analytic) = 1.8134155047893737506854221021026 y1[1] (numeric) = 1.860171150926697809471304640282 absolute error = 0.0467556461373240587858825381794 relative error = 2.5783195309535349158313933180511 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.951 y2[1] (analytic) = 1.8139967810741719550743278016264 y2[1] (numeric) = -0.35793697485268122267327817273752 absolute error = 2.1719337559268531777476059743639 relative error = 119.73195204021950511227057427369 % h = 0.001 y1[1] (analytic) = 1.8139967810741719550743278016264 y1[1] (numeric) = 1.8608444315574256527691828292362 absolute error = 0.0468476504832536976948550276098 relative error = 2.5825652488485953139469129796857 % h = 0.001 TOP MAIN SOLVE Loop memory used=2552.0MB, alloc=4.6MB, time=282.48 NO POLE NO POLE x[1] = 0.952 y2[1] (analytic) = 1.8145772433622569183541068390228 y2[1] (numeric) = -0.36745073009079664404421292822822 absolute error = 2.182027973453053562398319767251 relative error = 120.24993598012624530604939870669 % h = 0.001 y1[1] (analytic) = 1.8145772433622569183541068390228 y1[1] (numeric) = 1.8615169370394652077415828364678 absolute error = 0.046939693677208289387475997445 relative error = 2.5868115479191747799493275774708 % h = 0.001 TOP MAIN SOLVE Loop memory used=2555.9MB, alloc=4.6MB, time=282.69 NO POLE NO POLE x[1] = 0.953 y2[1] (analytic) = 1.815156891073166400811651662531 y2[1] (numeric) = -0.37699996462299936944828561890168 absolute error = 2.1921568556961657702599372814327 relative error = 120.76955256468808653367359285003 % h = 0.001 y1[1] (analytic) = 1.815156891073166400811651662531 y1[1] (numeric) = 1.8621886665828802025094671071937 absolute error = 0.0470317755097138016978154446627 relative error = 2.591058422608716389302212225697 % h = 0.001 TOP MAIN SOLVE Loop memory used=2559.7MB, alloc=4.6MB, time=282.90 NO POLE NO POLE x[1] = 0.954 y2[1] (analytic) = 1.8157357236272527398414541135974 y2[1] (numeric) = -0.38658475496156616149891560709552 absolute error = 2.2023204785888189013403697206929 relative error = 121.2908051502833709936023404724 % h = 0.001 y1[1] (analytic) = 1.8157357236272527398414541135974 y1[1] (numeric) = 1.862859619398407119313718317821 absolute error = 0.0471238957711543794722642042236 relative error = 2.5953058673657682017167873966291 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.955 y2[1] (analytic) = 1.8163137404456834295932197284128 y2[1] (numeric) = -0.39620517768182516126346962598888 absolute error = 2.2125189181275085908566893544017 relative error = 121.81369709754027010322982640973 % h = 0.001 y1[1] (analytic) = 1.8163137404456834295932197284128 y1[1] (numeric) = 1.8635297946974560880167996884409 absolute error = 0.0472160542517726584235799600281 relative error = 2.5995538766439589644919862328866 % h = 0.001 TOP MAIN SOLVE Loop memory used=2563.5MB, alloc=4.6MB, time=283.10 NO POLE NO POLE x[1] = 0.956 y2[1] (analytic) = 1.8168909409504416998043253521668 y2[1] (numeric) = -0.40586130942207074710335364407543 absolute error = 2.2227522503725124469076789962422 relative error = 122.33823177134445270278895062915 % h = 0.001 y1[1] (analytic) = 1.8168909409504416998043253521668 y1[1] (numeric) = 1.8641991916921117790497821146096 absolute error = 0.0473082507416700792454567624428 relative error = 2.6038024449019738646824811605968 % h = 0.001 TOP MAIN SOLVE Loop memory used=2567.3MB, alloc=4.6MB, time=283.31 NO POLE NO POLE x[1] = 0.957 y2[1] (analytic) = 1.8174673245643270938165412336083 y2[1] (numeric) = -0.4155532268834783177724325178346 absolute error = 2.2330205514478054115889737514429 relative error = 122.86441254084677249264521758325 % h = 0.001 y1[1] (analytic) = 1.8174673245643270938165412336083 y1[1] (numeric) = 1.8648678095951342958037565019286 absolute error = 0.0474004850308072019872152683203 relative error = 2.6080515666035303298891546035398 % h = 0.001 TOP MAIN SOLVE Loop memory used=2571.1MB, alloc=4.6MB, time=283.52 NO POLE NO POLE x[1] = 0.958 y2[1] (analytic) = 1.8180428907109560457764395832387 y2[1] (numeric) = -0.42528100683001899984922271132883 absolute error = 2.2433238975409750456256622945675 relative error = 123.39224277947097472303698870206 % h = 0.001 y1[1] (analytic) = 1.8180428907109560457764395832387 y1[1] (numeric) = 1.86553564761996006646465010972 absolute error = 0.0474927569090040206882105264813 relative error = 2.6123012362173538774671360431425 % h = 0.001 TOP MAIN SOLVE Loop memory used=2574.9MB, alloc=4.6MB, time=283.73 NO POLE NO POLE x[1] = 0.959 y2[1] (analytic) = 1.8186176388147624570189123947776 y2[1] (numeric) = -0.43504472608837427957839057243509 absolute error = 2.2536623649031367365973029672127 relative error = 123.92172586492142215548159777215 % h = 0.001 y1[1] (analytic) = 1.8186176388147624570189123947776 y1[1] (numeric) = 1.8662027049807027352904661339256 absolute error = 0.047585066165940278271553739148 relative error = 2.6165514482171540119471622481503 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.96 y2[1] (analytic) = 1.8191915683009982716332221464304 y2[1] (numeric) = -0.44484446154785055919717580237274 absolute error = 2.2640360298488488308303979488031 relative error = 124.45286517919084031523003208434 % h = 0.001 y1[1] (analytic) = 1.8191915683009982716332221464304 y1[1] (numeric) = 1.8668689808921540533299661842456 absolute error = 0.0476774125911557816967440378152 relative error = 2.6208021970816001704666492229975 % h = 0.001 TOP MAIN SOLVE Loop memory used=2578.7MB, alloc=4.6MB, time=283.93 NO POLE NO POLE x[1] = 0.961 y2[1] (analytic) = 1.8197646785957340512110098159569 y2[1] (numeric) = -0.45468029016029363782244683802058 absolute error = 2.2744449687560276890334566539775 relative error = 124.98566410856808205431597902761 % h = 0.001 y1[1] (analytic) = 1.8197646785957340512110098159569 y1[1] (numeric) = 1.8675344745697847685818157364705 absolute error = 0.0477697959740507173708059205136 relative error = 2.6250534772942977160074933066054 % h = 0.001 TOP MAIN SOLVE Loop memory used=2582.6MB, alloc=4.6MB, time=284.14 NO POLE NO POLE x[1] = 0.962 y2[1] (analytic) = 1.820336969125859548775685461578 y2[1] (numeric) = -0.4645522889400031169741818851254 absolute error = 2.2848892580658626657498673467034 relative error = 125.52012604364591144490803069349 % h = 0.001 y1[1] (analytic) = 1.820336969125859548775685461578 y1[1] (numeric) = 1.8681991852297455155932130679501 absolute error = 0.0478622161038859668175276063721 relative error = 2.6293052833437639782382449059355 % h = 0.001 TOP MAIN SOLVE Loop memory used=2586.4MB, alloc=4.6MB, time=284.35 NO POLE NO POLE x[1] = 0.963 y2[1] (analytic) = 1.8209084393190842818926274393802 y2[1] (numeric) = -0.47446053496364673081125629479655 absolute error = 2.2953689742827310127038837341768 relative error = 126.05625437932880702283673045338 % h = 0.001 y1[1] (analytic) = 1.8209084393190842818926274393802 y1[1] (numeric) = 1.868863112088867704497022612181 absolute error = 0.0479546727697834226043951728008 relative error = 2.6335576097234043417589215814436 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2590.2MB, alloc=4.6MB, time=284.55 x[1] = 0.964 y2[1] (analytic) = 1.8214790886039381049596171470655 y2[1] (numeric) = -0.48440510537017460115550386555813 absolute error = 2.3058841939741127061151210126236 relative error = 126.59405251484078440133093779411 % h = 0.001 y1[1] (analytic) = 1.8214790886039381049596171470655 y1[1] (numeric) = 1.8695262543646644094864340975888 absolute error = 0.0480471657607263045268169505233 relative error = 2.6378104509314883815473476277746 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.965 y2[1] (analytic) = 1.8220489164097717806769370036593 y2[1] (numeric) = -0.49438607736073341738010647859575 absolute error = 2.316434993770505198057043482255 relative error = 127.13352385373323827516068335354 % h = 0.001 y1[1] (analytic) = 1.8220489164097717806769370036593 y1[1] (numeric) = 1.87018861127533125672616926572 absolute error = 0.0481396948655594760492322620607 relative error = 2.6420638014711260454065249226244 % h = 0.001 TOP MAIN SOLVE Loop memory used=2594.0MB, alloc=4.6MB, time=284.76 NO POLE NO POLE x[1] = 0.966 y2[1] (analytic) = 1.8226179221667575506965601951263 y2[1] (numeric) = -0.50440352819858054123845323459134 absolute error = 2.3270214503653380919350134297176 relative error = 127.6746718038928038355462874885 % h = 0.001 y1[1] (analytic) = 1.8226179221667575506965601951263 y1[1] (numeric) = 1.8708501820397473116992583952511 absolute error = 0.0482322598729897610026982001248 relative error = 2.646317655850243883213154661873 % h = 0.001 TOP MAIN SOLVE Loop memory used=2597.8MB, alloc=4.6MB, time=284.97 NO POLE NO POLE x[1] = 0.967 y2[1] (analytic) = 1.8231861053058897054498615367527 y2[1] (numeric) = -0.51445753520899803670969695659031 absolute error = 2.337643640514887742159558493343 relative error = 128.21749977754923761635602522779 % h = 0.001 y1[1] (analytic) = 1.8231861053058897054498615367527 y1[1] (numeric) = 1.8715109658774759659884092904649 absolute error = 0.0483248605715862605385477537122 relative error = 2.6505720085815613227680416710421 % h = 0.001 TOP MAIN SOLVE Loop memory used=2601.6MB, alloc=4.6MB, time=285.17 NO POLE NO POLE x[1] = 0.968 y2[1] (analytic) = 1.8237534652589851531532796246302 y2[1] (numeric) = -0.5245481757792066249373225545938 absolute error = 2.348301641038191778090602179224 relative error = 128.76201119128331779227704050207 % h = 0.001 y1[1] (analytic) = 1.8237534652589851531532796246302 y1[1] (numeric) = 1.8721709620087658234909918261345 absolute error = 0.0484174967497806703377122015043 relative error = 2.6548268541825669920497222931357 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.969 y2[1] (analytic) = 1.8243200014586839879913612706282 y2[1] (numeric) = -0.53467552735827956433712831391769 absolute error = 2.3589955288169635523284895845459 relative error = 129.30820946603476394980654548367 % h = 0.001 y1[1] (analytic) = 1.8243200014586839879913612706282 y1[1] (numeric) = 1.8728301696545515860666615750955 absolute error = 0.0485101681958675980753003044673 relative error = 2.6590821871754950876732634119895 % h = 0.001 TOP MAIN SOLVE Loop memory used=2605.4MB, alloc=4.6MB, time=285.38 NO POLE NO POLE x[1] = 0.97 y2[1] (analytic) = 1.8248857133384500574766200378563 y2[1] (numeric) = -0.5448396674570564559511076707131 absolute error = 2.3697253807955065134277277085694 relative error = 129.85609802711017635207258908917 % h = 0.001 y1[1] (analytic) = 1.8248857133384500574766200378563 y1[1] (numeric) = 1.8734885880364549386166464801786 absolute error = 0.0486028746980048811400264423223 relative error = 2.6633380020873017893567839901583 % h = 0.001 TOP MAIN SOLVE Loop memory used=2609.3MB, alloc=4.6MB, time=285.59 NO POLE NO POLE x[1] = 0.971 y2[1] (analytic) = 1.8254506003325715289856415168064 y2[1] (numeric) = -0.55504067364805697412380547430327 absolute error = 2.3804912739806285031094469911097 relative error = 130.40568030419099471865584456701 % h = 0.001 y1[1] (analytic) = 1.8254506003325715289856415168064 y1[1] (numeric) = 1.8741462163767854335937209686113 absolute error = 0.0486956160442139046080794518049 relative error = 2.6675942934496417201988515914543 % h = 0.001 TOP MAIN SOLVE Loop memory used=2613.1MB, alloc=4.6MB, time=285.79 NO POLE NO POLE x[1] = 0.972 y2[1] (analytic) = 1.8260146618761614554708688061158 y2[1] (numeric) = -0.56527862356539452257780910706261 absolute error = 2.3912932854415559780486779131784 relative error = 130.95695973134147654174595197728 % h = 0.001 y1[1] (analytic) = 1.8260146618761614554708688061158 y1[1] (numeric) = 1.8748030538985413749418923444843 absolute error = 0.0487883920223799194710235383685 relative error = 2.6718510557988444525705047322202 % h = 0.001 TOP MAIN SOLVE Loop memory used=2616.9MB, alloc=4.6MB, time=286.00 NO POLE NO POLE x[1] = 0.973 y2[1] (analytic) = 1.8265778974051583403475024862134 y2[1] (numeric) = -0.57555359490468981596512113834864 absolute error = 2.402131492309848156312623624562 relative error = 131.50993974701669496012795962898 % h = 0.001 y1[1] (analytic) = 1.8265778974051583403475024862134 y1[1] (numeric) = 1.8754590998254107014648247334153 absolute error = 0.0488812024202523611173222472019 relative error = 2.6761082836758910594262475730475 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.974 y2[1] (analytic) = 1.8271403063563267015549501989961 y2[1] (numeric) = -0.5858656654229843869712464293999 absolute error = 2.413005971779311088526196628396 relative error = 132.06462379407055621265634152577 % h = 0.001 y1[1] (analytic) = 1.8271403063563267015549501989961 y1[1] (numeric) = 1.8761143533817718696220262931229 absolute error = 0.0489740470254451680670760941268 relative error = 2.6803659716263907108389564346972 % h = 0.001 TOP MAIN SOLVE Loop memory used=2620.7MB, alloc=4.6MB, time=286.20 NO POLE NO POLE x[1] = 0.975 y2[1] (analytic) = 1.8277018881672576347922617721328 y2[1] (numeric) = -0.59621491293865401904891278103639 absolute error = 2.4239168011059116538411745531692 relative error = 132.62101531976383669303592793224 % h = 0.001 y1[1] (analytic) = 1.8277018881672576347922617721328 y1[1] (numeric) = 1.876768813792694735751825844256 absolute error = 0.0490669256254371009595640721232 relative error = 2.6846241142005573155642279098036 % h = 0.001 TOP MAIN SOLVE Loop memory used=2624.5MB, alloc=4.6MB, time=286.41 NO POLE NO POLE x[1] = 0.976 y2[1] (analytic) = 1.8282626422763693759269866526067 y2[1] (numeric) = -0.60660141533132210485843032534714 absolute error = 2.4348640576076914807854169779538 relative error = 133.17911777577223962789087564969 % h = 0.001 y1[1] (analytic) = 1.8282626422763693759269866526067 y1[1] (numeric) = 1.8774224802839414377201655175011 absolute error = 0.0491598380075720617931788648944 relative error = 2.6888827059531862074402859560194 % h = 0.001 TOP MAIN SOLVE Loop memory used=2628.3MB, alloc=4.6MB, time=286.63 NO POLE NO POLE x[1] = 0.977 y2[1] (analytic) = 1.8288225681229078625768912406878 y2[1] (numeric) = -0.61702525054177293049178090622576 absolute error = 2.4458478186646807930686721469136 relative error = 133.73893461819447140026452582095 % h = 0.001 y1[1] (analytic) = 1.8288225681229078625768912406878 y1[1] (numeric) = 1.8780753520819672759942364557139 absolute error = 0.0492527839590594134173452150261 relative error = 2.6931417414436308764301503072338 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2632.1MB, alloc=4.6MB, time=286.83 x[1] = 0.978 y2[1] (analytic) = 1.8293816651469472948639745426626 y2[1] (numeric) = -0.62748649657186488555761467152312 absolute error = 2.4568681617188121804215892141857 relative error = 134.30046930756033754085465239745 % h = 0.001 y1[1] (analytic) = 1.8293816651469472948639745426626 y1[1] (numeric) = 1.8787274284139215941399850535941 absolute error = 0.0493457632669742992760105109315 relative error = 2.6974012152357797441133508389359 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.979 y2[1] (analytic) = 1.8299399327893906953402213883531 y2[1] (numeric) = -0.63798523148444359920441701163 absolute error = 2.4679251642738342945446383999831 relative error = 134.86372530883885840945019612394 % h = 0.001 y1[1] (analytic) = 1.8299399327893906953402213883531 y1[1] (numeric) = 1.8793787085076486587425176622398 absolute error = 0.0494387757182579634022962738867 relative error = 2.7016611218980329834350521812601 % h = 0.001 TOP MAIN SOLVE Loop memory used=2636.0MB, alloc=4.6MB, time=287.04 NO POLE NO POLE x[1] = 0.98 y2[1] (analytic) = 1.8304973704919704680845332877192 y2[1] (numeric) = -0.64852153340325500215919482538592 absolute error = 2.4790189038952254702437281131051 relative error = 135.4287060914464045891971093465 % h = 0.001 y1[1] (analytic) = 1.8304973704919704680845332877192 y1[1] (numeric) = 1.8800291915916885387484321317806 absolute error = 0.0495318210997180706638988440614 relative error = 2.7059214560032793825210299000869 % h = 0.001 TOP MAIN SOLVE Loop memory used=2639.8MB, alloc=4.6MB, time=287.25 NO POLE NO POLE x[1] = 0.981 y2[1] (analytic) = 1.8310539776972489569702778296585 y2[1] (numeric) = -0.65909548051285831485911687423696 absolute error = 2.4901494582101072718293947038955 relative error = 135.99541512925485201648240844186 % h = 0.001 y1[1] (analytic) = 1.8310539776972489569702778296585 y1[1] (numeric) = 1.8806788768952779842291050122002 absolute error = 0.0496248991980290272588271825417 relative error = 2.7101822121288732523675139734764 % h = 0.001 TOP MAIN SOLVE Loop memory used=2643.6MB, alloc=4.6MB, time=287.46 NO POLE NO POLE x[1] = 0.982 y2[1] (analytic) = 1.831609753848619003102898355503 y2[1] (numeric) = -0.66970715105853896175362869943882 absolute error = 2.5013169049071579648565270549418 relative error = 136.56385590059975686938694550854 % h = 0.001 y1[1] (analytic) = 1.831609753848619003102898355503 y1[1] (numeric) = 1.8813277636483513045639636804126 absolute error = 0.0497180097997323014610653249096 relative error = 2.7144433848566113782154870873373 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.983 y2[1] (analytic) = 1.8321646983903045014270264696466 y2[1] (numeric) = -0.6803566233462214118546482247265 absolute error = 2.5125213217365259132816746943731 relative error = 137.13403188828855023781877145799 % h = 0.001 y1[1] (analytic) = 1.8321646983903045014270264696466 y1[1] (numeric) = 1.8819758510815412460427731106563 absolute error = 0.0498111526912367446157466410097 relative error = 2.7187049687727100144195944722588 % h = 0.001 TOP MAIN SOLVE Loop memory used=2647.4MB, alloc=4.6MB, time=287.66 NO POLE NO POLE x[1] = 0.984 y2[1] (analytic) = 1.8327188107673609565025407802402 y2[1] (numeric) = -0.69104397574238194561253374815166 absolute error = 2.5237627865097429021150745283919 relative error = 137.70594657960875259860027109196 % h = 0.001 y1[1] (analytic) = 1.8327188107673609565025407802402 y1[1] (numeric) = 1.8826231384261798688859674553178 absolute error = 0.0499043276588189123834266750776 relative error = 2.7229669584677819226223886121081 % h = 0.001 TOP MAIN SOLVE Loop memory used=2651.2MB, alloc=4.6MB, time=287.87 NO POLE NO POLE x[1] = 0.985 y2[1] (analytic) = 1.8332720904256760374490160939396 y2[1] (numeric) = -0.70176928667396134819560154162783 absolute error = 2.5350413770996373856446176355674 relative error = 138.27960346633620811894350944659 % h = 0.001 y1[1] (analytic) = 1.8332720904256760374490160939396 y1[1] (numeric) = 1.883269624914299423682057054383 absolute error = 0.0499975344886233862330409604434 relative error = 2.7272293485368134530451961856257 % h = 0.001 TOP MAIN SOLVE Loop memory used=2655.0MB, alloc=4.6MB, time=288.07 NO POLE NO POLE x[1] = 0.986 y2[1] (analytic) = 1.8338245368119701320580081203051 y2[1] (numeric) = -0.712532634628277529251055725026 absolute error = 2.5463571714402476613090638453311 relative error = 138.85500604474333881190943990962 % h = 0.001 y1[1] (analytic) = 1.8338245368119701320580081203051 y1[1] (numeric) = 1.88391530977863322724114194385 absolute error = 0.0500907729666630951831338235449 relative error = 2.7314921335791416687074560643821 % h = 0.001 TOP MAIN SOLVE Loop memory used=2658.9MB, alloc=4.6MB, time=288.28 NO POLE NO POLE x[1] = 0.987 y2[1] (analytic) = 1.8343761493737969000726195736126 y2[1] (numeric) = -0.72333409815293806922527846333282 absolute error = 2.5577102475267349692978980369454 relative error = 139.4321578156074185676077906574 % h = 0.001 y1[1] (analytic) = 1.8343761493737969000726195736126 y1[1] (numeric) = 1.8845601922526165378635633866159 absolute error = 0.0501840428788196377909438130033 relative error = 2.7357553081984315123869360951594 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.988 y2[1] (analytic) = 1.8349269275595438256337943925575 y2[1] (numeric) = -0.734173755855752692321513850325 absolute error = 2.5691006834152965179553082428825 relative error = 140.01106228421886708405556909194 % h = 0.001 y1[1] (analytic) = 1.8349269275595438256337943925575 y1[1] (numeric) = 1.8852042715703874300227254035686 absolute error = 0.0502773440108436043889310110111 relative error = 2.7400188670026530161337927512503 % h = 0.001 TOP MAIN SOLVE Loop memory used=2662.7MB, alloc=4.6MB, time=288.48 NO POLE NO POLE x[1] = 0.989 y2[1] (analytic) = 1.8354768708184327688927876316028 y2[1] (numeric) = -0.74505168640464566617306409033081 absolute error = 2.5805285572230784350658517219336 relative error = 140.59172296038956372177320645477 % h = 0.001 y1[1] (analytic) = 1.8354768708184327688927876316028 y1[1] (numeric) = 1.8858475469667876684611187378826 absolute error = 0.0503706761483548995683311062798 relative error = 2.7442828046040585531519915566787 % h = 0.001 TOP MAIN SOLVE Loop memory used=2666.5MB, alloc=4.6MB, time=288.69 NO POLE NO POLE x[1] = 0.99 y2[1] (analytic) = 1.8360259786005205167892594115471 y2[1] (numeric) = -0.75596796852756812831020177084699 absolute error = 2.5919939471280886450994611823941 relative error = 141.17414335846118130635840892366 % h = 0.001 y1[1] (analytic) = 1.8360259786005205167892594115471 y1[1] (numeric) = 1.8864900176773635816985801418229 absolute error = 0.0504640390768430649093207302758 relative error = 2.7485471156191601318621574790291 % h = 0.001 TOP MAIN SOLVE Loop memory used=2670.3MB, alloc=4.6MB, time=288.91 NO POLE NO POLE x[1] = 0.991 y2[1] (analytic) = 1.8365742503566993329944421512648 y2[1] (numeric) = -0.7669226810124103394990871329615 absolute error = 2.6034969313691096724935292842263 relative error = 141.75832699731353990343878952109 % h = 0.001 y1[1] (analytic) = 1.8365742503566993329944421512648 y1[1] (numeric) = 1.8871316829383669349518203327142 absolute error = 0.0505574325816676019573781814494 relative error = 2.7528117946687067319604732611428 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2674.1MB, alloc=4.6MB, time=289.12 x[1] = 0.992 y2[1] (analytic) = 1.8371216855386975070188311374976 y2[1] (numeric) = -0.77791590270691386403106429360373 absolute error = 2.6150375882456113710498954311013 relative error = 142.34427740037298059056532933806 % h = 0.001 y1[1] (analytic) = 1.8371216855386975070188311374976 y1[1] (numeric) = 1.8877725419867558024642544231216 absolute error = 0.050650856448058295445423285624 relative error = 2.7570768363776616822887899288306 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.993 y2[1] (analytic) = 1.8376682835990799024838493250508 y2[1] (numeric) = -0.78894771251858367704079535350814 absolute error = 2.6266159961176635795246446785589 relative error = 142.9319980956207592507696591551 % h = 0.001 y1[1] (analytic) = 1.8376682835990799024838493250508 y1[1] (numeric) = 1.8884125940601954392451690897287 absolute error = 0.0507443104611155367613197646779 relative error = 2.7613422353751800803316574818482 % h = 0.001 TOP MAIN SOLVE Loop memory used=2677.9MB, alloc=4.6MB, time=289.32 NO POLE NO POLE x[1] = 0.994 y2[1] (analytic) = 1.8382140439912485045569380957782 y2[1] (numeric) = -0.80001818941460019893177623734025 absolute error = 2.6382322334058487034887143331184 relative error = 143.52149261560146041266906577374 % h = 0.001 y1[1] (analytic) = 1.8382140439912485045569380957782 y1[1] (numeric) = 1.8890518383970591522172612058708 absolute error = 0.0508377944058106476603231100926 relative error = 2.7656079862945862531565250570571 % h = 0.001 TOP MAIN SOLVE Loop memory used=2681.7MB, alloc=4.6MB, time=289.53 NO POLE NO POLE x[1] = 0.995 y2[1] (analytic) = 1.8387589661694429665495265413068 y2[1] (numeric) = -0.811127412421731256987862957599 absolute error = 2.6498863785911742235373894989058 relative error = 144.11276449743143116216401349714 % h = 0.001 y1[1] (analytic) = 1.8387589661694429665495265413068 y1[1] (numeric) = 1.8896902742364291707715831242026 absolute error = 0.0509313080669862042220565828958 relative error = 2.7698740837733512596138986578189 % h = 0.001 TOP MAIN SOLVE Loop memory used=2685.6MB, alloc=4.6MB, time=289.74 NO POLE NO POLE x[1] = 0.996 y2[1] (analytic) = 1.8393030495887411556773326715804 y2[1] (numeric) = -0.82227546062624397424952177158209 absolute error = 2.6615785102149851299268544431625 relative error = 144.70581728280723515093383245827 % h = 0.001 y1[1] (analytic) = 1.8393030495887411556773326715804 y1[1] (numeric) = 1.8903279008180975167289302585365 absolute error = 0.0510248512293563610515975869561 relative error = 2.7741405224530704336147808798716 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.997 y2[1] (analytic) = 1.839846293705059697982450788966 y2[1] (numeric) = -0.83346241317381658573360141078552 absolute error = 2.6733087068788762837160521997515 relative error = 145.30065451801412672709706412128 % h = 0.001 y1[1] (analytic) = 1.839846293705059697982450788966 y1[1] (numeric) = 1.8909647173825668737067070774886 absolute error = 0.0511184236775071757242562885226 relative error = 2.7784072969794409683032509427853 % memory used=2689.4MB, alloc=4.6MB, time=289.94 h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.998 y2[1] (analytic) = 1.8403886979751545224166801058793 y2[1] (numeric) = -0.8446883492694501820755102045098 absolute error = 2.6850770472446047044921903103891 relative error = 145.8972797539345452135637725048 % h = 0.001 y1[1] (analytic) = 1.8403886979751545224166801058793 y1[1] (numeric) = 1.8916007231710514558903080872102 absolute error = 0.0512120251958969334736279813309 relative error = 2.7826744020022395409425747663993 % h = 0.001 TOP MAIN SOLVE Loop memory used=2693.2MB, alloc=4.6MB, time=290.15 NO POLE NO POLE x[1] = 0.999 y2[1] (analytic) = 1.8409302618566214040855505226477 y2[1] (numeric) = -0.85595334817738038067276549406813 absolute error = 2.6968836100340017847583160167158 relative error = 146.49569654605662935976792972102 % h = 0.001 y1[1] (analytic) = 1.8409302618566214040855505226477 y1[1] (numeric) = 1.8922359174254778762080508461613 absolute error = 0.0513056555688564721225003235136 relative error = 2.7869418321752999783337638228259 % h = 0.001 TOP MAIN SOLVE Loop memory used=2697.0MB, alloc=4.6MB, time=290.36 NO POLE NO POLE x[1] = 1 y2[1] (analytic) = 1.8414709848078965066525023216303 y2[1] (numeric) = -0.86725748922098892440896724074117 absolute error = 2.7087284740288854310614695623715 relative error = 147.09590845448275199262876851074 % h = 0.001 y1[1] (analytic) = 1.8414709848078965066525023216303 y1[1] (numeric) = 1.8928702993884860139086985216049 absolute error = 0.0513993145805895072561961999746 relative error = 2.7912095821564909625860280571504 % h = 0.001 TOP MAIN SOLVE Loop memory used=2700.8MB, alloc=4.6MB, time=290.57 NO POLE NO POLE x[1] = 1.001 y2[1] (analytic) = 1.8420108662882569239026773734589 y2[1] (numeric) = -0.87860085178271520803733216940361 absolute error = 2.7206117180709721319400095428625 relative error = 147.69791904393807489275076479771 % h = 0.001 y1[1] (analytic) = 1.8420108662882569239026773734589 y1[1] (numeric) = 1.8935038683034298815406099652599 absolute error = 0.051493002015172957637932591801 relative error = 2.7954776466076937770590923127572 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.002 y2[1] (analytic) = 1.842549905757821220465780291656 y2[1] (numeric) = -0.8899835153039677323030091604646 absolute error = 2.7325334210617889527687894521206 relative error = 148.30173188377912392203267209797 % h = 0.001 y1[1] (analytic) = 1.842549905757821220465780291656 y1[1] (numeric) = 1.8941366234143784913315557543484 absolute error = 0.0515867176565572708657754626924 relative error = 2.7997460201947800922978674296554 % h = 0.001 TOP MAIN SOLVE Loop memory used=2704.6MB, alloc=4.6MB, time=290.78 NO POLE NO POLE x[1] = 1.003 y2[1] (analytic) = 1.8430881026775499716974688128113 y2[1] (numeric) = -0.90140555928503548588348090532248 absolute error = 2.7444936619625854575809497181338 relative error = 148.90735054800238442901677910673 % h = 0.001 y1[1] (analytic) = 1.8430881026775499716974688128113 y1[1] (numeric) = 1.8947685639661167209682391141128 absolute error = 0.0516804612885667492707703013015 relative error = 2.8040146975875897917804865166111 % h = 0.001 TOP MAIN SOLVE Loop memory used=2708.4MB, alloc=4.6MB, time=290.99 NO POLE NO POLE x[1] = 1.004 y2[1] (analytic) = 1.8436254565092463027187335209743 y2[1] (numeric) = -0.91286706328499925522644107483891 absolute error = 2.7564925197942455579451745958132 relative error = 149.51477861525291695847030415145 % h = 0.001 y1[1] (analytic) = 1.8436254565092463027187335209743 y1[1] (numeric) = 1.8953996892041461787745611087526 absolute error = 0.0517742326948998760558275877783 relative error = 2.8082836734599088373012338383859 % h = 0.001 TOP MAIN SOLVE Loop memory used=2712.3MB, alloc=4.6MB, time=291.19 NO POLE NO POLE x[1] = 1.005 y2[1] (analytic) = 1.844161966715556426612727876925 y2[1] (numeric) = -0.92436810692164286236462041629381 absolute error = 2.7685300736371992889773482932188 relative error = 150.12401966883299329185157764172 % h = 0.001 y1[1] (analytic) = 1.844161966715556426612727876925 y1[1] (numeric) = 1.8960299983746860682876699596464 absolute error = 0.0518680316591296416749420827214 relative error = 2.8125529424894471738104083188438 % h = 0.001 TOP MAIN SOLVE Loop memory used=2716.1MB, alloc=4.6MB, time=291.40 NO POLE NO POLE x[1] = 1.006 y2[1] (analytic) = 1.8446976327599701817785103555398 y2[1] (numeric) = -0.93590876987136433078711929179554 absolute error = 2.7806064026313345125656296473353 relative error = 150.73507729671075284547439835946 % h = 0.001 y1[1] (analytic) = 1.8446976327599701817785103555398 y1[1] (numeric) = 1.8966594907246740522308348226763 absolute error = 0.0519618579647038704523244671365 relative error = 2.8168224993578166735336758469001 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.007 y2[1] (analytic) = 1.8452324541068215684411613375549 y2[1] (numeric) = -0.94748913186908697944688820009594 absolute error = 2.7927215859759085478880495376508 relative error = 151.34795509152887945334468360712 % h = 0.001 y1[1] (analytic) = 1.8452324541068215684411613375549 y1[1] (numeric) = 1.897288165501767115882184830462 absolute error = 0.0520557113949455474410234929071 relative error = 2.8210923387505091191939743957432 % h = 0.001 TOP MAIN SOLVE Loop memory used=2719.9MB, alloc=4.6MB, time=291.60 NO POLE NO POLE x[1] = 1.008 y2[1] (analytic) = 1.8457664302212892843177382456532 y2[1] (numeric) = -0.95910927270817044498408178410227 absolute error = 2.8048757029294597293018200297555 relative error = 151.96265665061329856180426905205 % h = 0.001 y1[1] (analytic) = 1.8457664302212892843177382456532 y1[1] (numeric) = 1.8979160219543424298383546803391 absolute error = 0.0521495917330531455206164346859 relative error = 2.8253624553568742261595434351385 % h = 0.001 TOP MAIN SOLVE Loop memory used=2723.7MB, alloc=4.6MB, time=291.81 NO POLE NO POLE x[1] = 1.009 y2[1] (analytic) = 1.8462995605693972594385332589671 y2[1] (numeric) = -0.97076927224032163224509571799324 absolute error = 2.8170688328097188916836289769603 relative error = 152.57918557598189486327745375516 % h = 0.001 y1[1] (analytic) = 1.8462995605693972594385332589671 y1[1] (numeric) = 1.8985430593314982121720785249787 absolute error = 0.0522434987621009527335452660116 relative error = 2.8296328438700977033421542407301 % h = 0.001 TOP MAIN SOLVE Loop memory used=2727.5MB, alloc=4.6MB, time=292.02 NO POLE NO POLE x[1] = 1.01 y2[1] (analytic) = 1.846831844618015190123098784782 y2[1] (numeric) = -0.98246921037550559317717969063961 absolute error = 2.8293010549935207833002784754216 relative error = 153.19754547435325039657663152776 % h = 0.001 y1[1] (analytic) = 1.846831844618015190123098784782 y1[1] (numeric) = 1.8991692768830545899827743996479 absolute error = 0.0523374322650393998596756148659 relative error = 2.8339034989871793526701204933689 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2731.3MB, alloc=4.6MB, time=292.22 x[1] = 1.011 y2[1] (analytic) = 1.8473632818348590721105067114598 y2[1] (numeric) = -0.99420916708185633417860345590689 absolute error = 2.8415724489167154062891101673667 relative error = 153.81773995715540314138410359766 % h = 0.001 y1[1] (analytic) = 1.8473632818348590721105067114598 y1[1] (numeric) = 1.899794673859554460339161898245 absolute error = 0.0524313920246953882286551867852 relative error = 2.8381744154089112069611690233383 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.012 y2[1] (analytic) = 1.8478938716884917328433083123683 y2[1] (numeric) = -1.0059892223855875519844366052835 absolute error = 2.8538830940740792848277449176518 relative error = 154.43977264053462613468793175282 % h = 0.001 y1[1] (analytic) = 1.8478938716884917328433083123683 y1[1] (numeric) = 1.9004192495122643506129562894176 absolute error = 0.0525253778237726177696479770493 relative error = 2.8424455878398557060207486989288 % h = 0.001 TOP MAIN SOLVE Loop memory used=2735.2MB, alloc=4.6MB, time=292.43 NO POLE NO POLE x[1] = 1.013 y2[1] (analytic) = 1.8484236136483233629046625169003 y2[1] (numeric) = -1.0178094563709032981680863340389 absolute error = 2.8662330700192266610727488509392 relative error = 155.06364714536422713711046783495 % h = 0.001 y1[1] (analytic) = 1.8484236136483233629046625169003 y1[1] (numeric) = 1.9010430030931752782026827442783 absolute error = 0.052619389444851915298020227378 relative error = 2.846717010988323910791851294721 % h = 0.001 TOP MAIN SOLVE Loop memory used=2739.0MB, alloc=4.6MB, time=292.64 NO POLE NO POLE x[1] = 1.014 y2[1] (analytic) = 1.8489525071846120466081011114986 y2[1] (numeric) = -1.0296699491799085723388210186767 absolute error = 2.8786224563645206189469221301753 relative error = 155.68936709725336887722898683863 % h = 0.001 y1[1] (analytic) = 1.8489525071846120466081011114986 y1[1] (numeric) = 1.9016659338550036096466548284761 absolute error = 0.0527134266703915630385537169775 relative error = 2.8509886795663537553829117111523 % h = 0.001 TOP MAIN SOLVE Loop memory used=2742.8MB, alloc=4.6MB, time=292.85 NO POLE NO POLE x[1] = 1.015 y2[1] (analytic) = 1.8494805517684642917394002809662 y2[1] (numeric) = -1.0415707810125198441155909007164 absolute error = 2.8910513327809841358549911816826 relative error = 156.31693612655590990214865909217 % h = 0.001 y1[1] (analytic) = 1.8494805517684642917394002809662 y1[1] (numeric) = 1.9022880410511919191241618936602 absolute error = 0.052807489282727627384761612694 relative error = 2.8552605882896883368008461624727 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.016 y2[1] (analytic) = 1.850007746871835558450028748234 y2[1] (numeric) = -1.0535120321263755039575405797151 absolute error = 2.9035197789982110624075693279491 relative error = 156.94635786837926606274892420914 % h = 0.001 y1[1] (analytic) = 1.850007746871835558450028748234 y1[1] (numeric) = 1.9029093239359098463439104866839 absolute error = 0.0529015770640742878938817384499 relative error = 2.8595327318777542422167759137474 % h = 0.001 TOP MAIN SOLVE Loop memory used=2746.6MB, alloc=4.6MB, time=293.05 NO POLE NO POLE x[1] = 1.017 y2[1] (analytic) = 1.8505340919675307873016436191816 y2[1] (numeric) = -1.0654937828367462429316913568375 absolute error = 2.9160278748042770302333349760191 relative error = 157.57763596259329266218517785615 % h = 0.001 y1[1] (analytic) = 1.8505340919675307873016436191816 y1[1] (numeric) = 1.9035297817640549538187653792443 absolute error = 0.0529956897965241665171217600627 relative error = 2.8638051050536399135924708381598 % h = 0.001 TOP MAIN SOLVE Loop memory used=2750.4MB, alloc=4.6MB, time=293.25 NO POLE NO POLE x[1] = 1.018 y2[1] (analytic) = 1.8510595865292049264611058880601 y2[1] (numeric) = -1.0775161135164453614983547391049 absolute error = 2.928575700045650287959460627165 relative error = 158.21077405383918729638855402932 % h = 0.001 y1[1] (analytic) = 1.8510595865292049264611058880601 y1[1] (numeric) = 1.9041494137912535835258363060326 absolute error = 0.0530898272620486570647304179725 relative error = 2.8680777025440740494960314919279 % h = 0.001 TOP MAIN SOLVE Loop memory used=2754.2MB, alloc=4.6MB, time=293.46 NO POLE NO POLE x[1] = 1.019 y2[1] (analytic) = 1.8515842300313634580454884085451 y2[1] (numeric) = -1.0895791045957390073949216136004 absolute error = 2.9411633346271024654404100221455 relative error = 158.8457757915384134154674826136 % h = 0.001 y1[1] (analytic) = 1.8515842300313634580454884085451 y1[1] (numeric) = 1.9047682192738617129509569858842 absolute error = 0.0531839892424982549054685773391 relative error = 2.8723505190794040439358105748267 % h = 0.001 TOP MAIN SOLVE Loop memory used=2758.0MB, alloc=4.6MB, time=293.67 NO POLE NO POLE x[1] = 1.02 y2[1] (analytic) = 1.8521080219493629236165499854554 y2[1] (numeric) = -1.1016828365622563426987547302959 absolute error = 2.9537908585116192663153047157513 relative error = 159.48264482990164463507562665623 % h = 0.001 y1[1] (analytic) = 1.8521080219493629236165499854554 y1[1] (numeric) = 1.9053861974689658105166034878646 absolute error = 0.0532781755196028869000535024092 relative error = 2.8766235493935744620420545679816 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.021 y2[1] (analytic) = 1.8526309617594114488241500927072 y2[1] (numeric) = -1.1138273899608996401499951916915 absolute error = 2.9664583517203110889741452843987 relative error = 160.1213848279377298269717581535 % h = 0.001 y1[1] (analytic) = 1.8526309617594114488241500927072 y1[1] (numeric) = 1.9060033476343836903922994927062 absolute error = 0.053372385874972241568149399999 relative error = 2.8808967882241055524262240259151 % h = 0.001 TOP MAIN SOLVE Loop memory used=2761.9MB, alloc=4.6MB, time=293.87 NO POLE NO POLE x[1] = 1.022 y2[1] (analytic) = 1.8531530489385692671980795741338 y2[1] (numeric) = -1.126012845393754308815176637033 absolute error = 2.9791658943323235760132562111668 relative error = 160.76199944946267901815811736393 % h = 0.001 y1[1] (analytic) = 1.8531530489385692671980795741338 y1[1] (numeric) = 1.9066196690286653666865564895245 absolute error = 0.0534666200900960994884769153907 relative error = 2.8851702303120717960484264555346 % h = 0.001 TOP MAIN SOLVE Loop memory used=2765.7MB, alloc=4.6MB, time=294.08 NO POLE NO POLE x[1] = 1.023 y2[1] (analytic) = 1.8536742829647492430877835353817 y2[1] (numeric) = -1.1382392835199988491726237284017 absolute error = 2.9919135664847480922604072637834 relative error = 161.40449236310867012814482084903 % h = 0.001 y1[1] (analytic) = 1.8536742829647492430877835353817 y1[1] (numeric) = 1.9072351609110939070193974382844 absolute error = 0.0535608779463446639316139029027 relative error = 2.8894438704020804914238689493308 % h = 0.001 TOP MAIN SOLVE Loop memory used=2769.5MB, alloc=4.6MB, time=294.29 NO POLE NO POLE x[1] = 1.024 y2[1] (analytic) = 1.854194663316717393749453487206 y2[1] (numeric) = -1.1505067850558147377006943953585 absolute error = 3.0047014483725321314501478825645 relative error = 162.04886724233307657404893973298 % h = 0.001 y1[1] (analytic) = 1.854194663316717393749453487206 y1[1] (numeric) = 1.9078498225416862854745129200649 absolute error = 0.0536551592249688917250594328589 relative error = 2.8937177032422503759997087617901 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2773.3MB, alloc=4.6MB, time=294.50 x[1] = 1.025 y2[1] (analytic) = 1.8547141894740934105799666531149 y2[1] (numeric) = -1.1628154307742962410500080739786 absolute error = 3.0175296202483896516299747270935 relative error = 162.69512776542751577339796418644 % h = 0.001 y1[1] (analytic) = 1.8547141894740934105799666531149 y1[1] (numeric) = 1.9084636531811942349300992897764 absolute error = 0.0537494637071008243501326366615 relative error = 2.8979917235841902835341488358337 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.026 y2[1] (analytic) = 1.8552328609173511794971512074687 y2[1] (numeric) = -1.1751653015053601598808848849413 absolute error = 3.03039816242271133937803609241 relative error = 163.34327761552691857466850499933 % h = 0.001 y1[1] (analytic) = 1.8552328609173511794971512074687 y1[1] (numeric) = 1.909076652091105098767428839624 absolute error = 0.0538437911737539192702776321553 relative error = 2.9022659261829778373100919078943 % h = 0.001 TOP MAIN SOLVE Loop memory used=2777.1MB, alloc=4.6MB, time=294.71 NO POLE NO POLE x[1] = 1.027 y2[1] (analytic) = 1.8557506771278193004658570638093 y2[1] (numeric) = -1.1875564781356555024473033337446 absolute error = 3.0433071552634748029131603975539 relative error = 163.9933204806186196457522604271 % h = 0.001 y1[1] (analytic) = 1.8557506771278193004658570638093 y1[1] (numeric) = 1.9096888185336426819562024762783 absolute error = 0.053938141405823381490345412469 relative error = 2.9065403057971381790161312548738 % h = 0.001 TOP MAIN SOLVE Loop memory used=2780.9MB, alloc=4.6MB, time=294.92 NO POLE NO POLE x[1] = 1.028 y2[1] (analytic) = 1.8562676375876816061693126873962 y2[1] (numeric) = -1.1999890416084730880087666840061 absolute error = 3.0562566791961546941780793714023 relative error = 164.64526005355146885070249838961 % h = 0.001 y1[1] (analytic) = 1.8562676375876816061693126873962 y1[1] (numeric) = 1.9103001517717681015157359104152 absolute error = 0.054032514184086495346423223019 relative error = 2.9108148571886227331281184013789 % h = 0.001 TOP MAIN SOLVE Loop memory used=2784.7MB, alloc=4.6MB, time=295.13 NO POLE NO POLE x[1] = 1.029 y2[1] (analytic) = 1.8567837417799776798252492606312 y2[1] (numeric) = -1.2124630729236550801515506520953 absolute error = 3.0692468147036327599767999127265 relative error = 165.29910003204496364527557268206 % h = 0.001 y1[1] (analytic) = 1.8567837417799776798252492606312 y1[1] (numeric) = 1.9109106510691806363510308540141 absolute error = 0.0541269092892029565257815933829 relative error = 2.9150895751227880066250081906172 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.03 y2[1] (analytic) = 1.8572989891886033721462743852944 y2[1] (numeric) = -1.2249786531375044501008874979253 absolute error = 3.0822776423261078222471618832197 relative error = 165.9548441186984025219433092284 % h = 0.001 y1[1] (analytic) = 1.8572989891886033721462743852944 y1[1] (numeric) = 1.9115203156903185764627832185644 absolute error = 0.05422132650171520431650883327 relative error = 2.9193644543683744238731395440855 % h = 0.001 TOP MAIN SOLVE Loop memory used=2788.6MB, alloc=4.6MB, time=295.34 NO POLE NO POLE x[1] = 1.031 y2[1] (analytic) = 1.8578133792983113174439783612591 y2[1] (numeric) = -1.2375358633626943701057239425172 absolute error = 3.0953492426610056875497023037763 relative error = 166.61249602100005953521346667614 % h = 0.001 y1[1] (analytic) = 1.8578133792983113174439783612591 y1[1] (numeric) = 1.912129144900360071530380806116 absolute error = 0.0543157656020487540864024448569 relative error = 2.9236394896974851965135660031124 % h = 0.001 TOP MAIN SOLVE Loop memory used=2792.4MB, alloc=4.6MB, time=295.55 NO POLE NO POLE x[1] = 1.032 y2[1] (analytic) = 1.8583269115947114488762569376219 y2[1] (numeric) = -1.2501347847681775369777726278521 absolute error = 3.108461696362888985854029565474 relative error = 167.27205945133637993825689689682 % h = 0.001 y1[1] (analytic) = 1.8583269115947114488762569376219 y1[1] (numeric) = 1.9127371379652239788669434849289 absolute error = 0.054410226370512529990686547307 relative error = 2.9279146758855652281875037669497 % h = 0.001 TOP MAIN SOLVE Loop memory used=2796.2MB, alloc=4.6MB, time=295.76 NO POLE NO POLE x[1] = 1.033 y2[1] (analytic) = 1.85883958556427151283733528897 y2[1] (numeric) = -1.2627754985790954258666590484413 absolute error = 3.1216150841433669387039943374113 relative error = 167.93353812700119696200150731686 % h = 0.001 y1[1] (analytic) = 1.85883958556427151283733528897 y1[1] (numeric) = 1.9133442941515707107454593423196 absolute error = 0.0545047085872991979081240533496 relative error = 2.9321900077113800539354164253486 % h = 0.001 TOP MAIN SOLVE Loop memory used=2800.0MB, alloc=4.6MB, time=295.97 NO POLE NO POLE x[1] = 1.034 y2[1] (analytic) = 1.8593514006943175824899788268026 y2[1] (numeric) = -1.275458086076687474353048026889 absolute error = 3.1348094867710050568430268536916 relative error = 168.59693577020496976801466055542 % h = 0.001 y1[1] (analytic) = 1.8593514006943175824899788268026 y1[1] (numeric) = 1.9139506127268030810950708091777 absolute error = 0.0545992120324854986050919823751 relative error = 2.9364654799569948141057049374195 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.035 y2[1] (analytic) = 1.8598623564730345704393773139402 y2[1] (numeric) = -1.2881826285982001969417158773977 absolute error = 3.1480449850712347673810931913379 relative error = 169.26225610808404260665723967976 % h = 0.001 y1[1] (analytic) = 1.8598623564730345704393773139402 y1[1] (numeric) = 1.9145560929590671515665652535267 absolute error = 0.0546937364860325811271879395865 relative error = 2.9407410874077532626094186399172 % h = 0.001 TOP MAIN SOLVE Loop memory used=2803.8MB, alloc=4.6MB, time=296.18 NO POLE NO POLE x[1] = 1.036 y2[1] (analytic) = 1.8603724523894667405481896080782 y2[1] (numeric) = -1.30094920753679623003661640158 absolute error = 3.1613216599262629705848060096582 relative error = 169.92950287270992521215426159572 % h = 0.001 y1[1] (analytic) = 1.8603724523894667405481896080782 y1[1] (numeric) = 1.9151607341172530769661250444313 absolute error = 0.0547882817277863364179354363531 relative error = 2.9450168248522568093578481859433 % h = 0.001 TOP MAIN SOLVE Loop memory used=2807.6MB, alloc=4.6MB, time=296.39 NO POLE NO POLE x[1] = 1.037 y2[1] (analytic) = 1.8608816879335182188922372194854 y2[1] (numeric) = -1.3137579043414633074800707900018 absolute error = 3.1746395922749815263723080094872 relative error = 170.59867980109859446638863875634 % h = 0.001 y1[1] (analytic) = 1.8608816879335182188922372194854 y1[1] (numeric) = 1.91576453547099595005639259251 absolute error = 0.0548828475374777311641553730246 relative error = 2.9492926870823435967203043264808 % h = 0.001 TOP MAIN SOLVE Loop memory used=2811.4MB, alloc=4.6MB, time=296.61 NO POLE NO POLE x[1] = 1.038 y2[1] (analytic) = 1.8613900625959535038563357271943 y2[1] (numeric) = -1.3266088005169231667382933604947 absolute error = 3.187998863112876670594629087689 relative error = 171.26979063521981736338647258027 % h = 0.001 y1[1] (analytic) = 1.8613900625959535038563357271943 y1[1] (numeric) = 1.9163674962906766457239063792941 absolute error = 0.0549774336947231418675706520998 relative error = 2.953568668893067609839827361013 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2815.3MB, alloc=4.6MB, time=296.82 x[1] = 1.039 y2[1] (analytic) = 1.861897575868397975369753957895 y2[1] (numeric) = -1.3395019776235403858155468503511 absolute error = 3.2013995534919383611853008082461 relative error = 171.94283912200649530662411280407 % h = 0.001 y1[1] (analytic) = 1.861897575868397975369753957895 y1[1] (numeric) = 1.9169696158474226645119644946826 absolute error = 0.0550720399790246891422105367876 relative error = 2.9578447650826778206450109066854 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.04 y2[1] (analytic) = 1.8624042272433384032807916921162 y2[1] (numeric) = -1.3524375172772311509793026939549 absolute error = 3.2148417445205695542600943860711 relative error = 172.61782901336402977144913752754 % h = 0.001 y1[1] (analytic) = 1.8624042272433384032807916921162 y1[1] (numeric) = 1.9175708934131089755179727097785 absolute error = 0.0551666661697705722371810176623 relative error = 2.9621209704525973653965603765708 % h = 0.001 TOP MAIN SOLVE Loop memory used=2819.1MB, alloc=4.6MB, time=297.03 NO POLE NO POLE x[1] = 1.041 y2[1] (analytic) = 1.8629100162141234548699675231574 y2[1] (numeric) = -1.3654155011493719553788633601184 absolute error = 3.2283255173634954102488308832758 relative error = 173.29476406617970936506940102405 % h = 0.001 y1[1] (analytic) = 1.8629100162141234548699675231574 y1[1] (numeric) = 1.9181713282603588586543346214513 absolute error = 0.0552613120462354037843670982939 relative error = 2.9663972798074027556076412240275 % h = 0.001 TOP MAIN SOLVE Loop memory used=2822.9MB, alloc=4.6MB, time=297.24 NO POLE NO POLE x[1] = 1.042 y2[1] (analytic) = 1.863414942274964201501309355628 y2[1] (numeric) = -1.3784360109667082286399853942929 absolute error = 3.2418509532416724301412947499209 relative error = 173.97364804233211831672636255277 % h = 0.001 y1[1] (analytic) = 1.863414942274964201501309355628 y1[1] (numeric) = 1.9187709196625447462719419150566 absolute error = 0.0553559773875805447706325594286 relative error = 2.9706736879548031221775046096891 % h = 0.001 TOP MAIN SOLVE Loop memory used=2826.7MB, alloc=4.6MB, time=297.44 NO POLE NO POLE x[1] = 1.043 y2[1] (analytic) = 1.8639190049209346244112408923424 y2[1] (numeric) = -1.3914991285112628975181233098084 absolute error = 3.2554181334321975219293642021508 relative error = 174.65448470870056643083105149633 % h = 0.001 y1[1] (analytic) = 1.8639190049209346244112408923424 y1[1] (numeric) = 1.9193696668937890641453233028541 absolute error = 0.0554506619728544397340824105117 relative error = 2.9749501897056194925783086883515 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2830.5MB, alloc=4.6MB, time=297.65 x[1] = 1.044 y2[1] (analytic) = 1.8644222036479721196345583207306 y2[1] (numeric) = -1.4046049356202448776929958992811 absolute error = 3.2690271392682169973275542200117 relative error = 175.33727783717454053600324422406 % h = 0.001 y1[1] (analytic) = 1.8644222036479721196345583207306 y1[1] (numeric) = 1.9199675692289650718185112078016 absolute error = 0.055545365580992952183952887071 relative error = 2.9792267798737641009354822018274 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.045 y2[1] (analytic) = 1.8649245379528780020669922728253 y2[1] (numeric) = -1.4177535141859574967872578922154 absolute error = 3.2826780521388354988542501650407 relative error = 176.02203120466317746311672821447 % h = 0.001 y1[1] (analytic) = 1.8649245379528780020669922728253 y1[1] (numeric) = 1.9205646259436977023106857755589 absolute error = 0.0556400879908197002436935027336 relative error = 2.9835034532762197308424035094374 % h = 0.001 TOP MAIN SOLVE Loop memory used=2834.3MB, alloc=4.6MB, time=297.86 NO POLE NO POLE x[1] = 1.046 y2[1] (analytic) = 1.8654260073333180086638509963099 y2[1] (numeric) = -1.4309449461557068486921411675269 absolute error = 3.2963709534890248573559921638368 relative error = 176.70874859310475858561591122193 % h = 0.001 y1[1] (analytic) = 1.8654260073333180086638509963099 y1[1] (numeric) = 1.9211608363143644011806563117217 absolute error = 0.0557348289810463925168053154118 relative error = 2.9877802047330190907505925965993 % h = 0.001 TOP MAIN SOLVE Loop memory used=2838.1MB, alloc=4.6MB, time=298.06 NO POLE NO POLE x[1] = 1.047 y2[1] (analytic) = 1.8659266112878228007742415380223 y2[1] (numeric) = -1.444179313531710079283010940131 absolute error = 3.3101059248195328800572524781533 relative error = 177.39743378947622595553149970538 % h = 0.001 y1[1] (analytic) = 1.8659266112878228007742415380223 y1[1] (numeric) = 1.9217561996180959649492407565096 absolute error = 0.0558295883302731641749992184873 relative error = 2.9920570290672242217770359827699 % h = 0.001 TOP MAIN SOLVE Loop memory used=2842.0MB, alloc=4.6MB, time=298.27 NO POLE NO POLE x[1] = 1.048 y2[1] (analytic) = 1.8664263493157884656103666057382 y2[1] (numeric) = -1.4574566983710036036078634787878 absolute error = 3.323883047686792069218230084526 relative error = 178.08809058580272006878552340669 % h = 0.001 y1[1] (analytic) = 1.8664263493157884656103666057382 y1[1] (numeric) = 1.9223507151327773788786043253623 absolute error = 0.0559243658169889132682377196241 relative error = 2.9963339211049059377706848089879 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.049 y2[1] (analytic) = 1.8669252209174770168513956389767 y2[1] (numeric) = -1.470777182785351254631872977973 absolute error = 3.3377024037028282714832686169497 relative error = 178.78072277916713929353862393235 % h = 0.001 y1[1] (analytic) = 1.8669252209174770168513956389767 y1[1] (numeric) = 1.9229443821370486541076189611503 absolute error = 0.0560191612195716372562233221736 relative error = 3.0006108756751232974805847312618 % h = 0.001 TOP MAIN SOLVE Loop memory used=2845.8MB, alloc=4.6MB, time=298.48 NO POLE NO POLE x[1] = 1.05 y2[1] (analytic) = 1.8674232255940168943814094850003 y2[1] (numeric) = -1.4841408489411523636211761995672 absolute error = 3.3515640745351692580025856845675 relative error = 179.47533417171972099549525650553 % h = 0.001 y1[1] (analytic) = 1.8674232255940168943814094850003 y1[1] (numeric) = 1.9235371999103056641423057619802 absolute error = 0.0561139743162887697608962769799 relative error = 3.0048878876099031086685125853251 % h = 0.001 TOP MAIN SOLVE Loop memory used=2849.6MB, alloc=4.6MB, time=298.68 NO POLE NO POLE x[1] = 1.051 y2[1] (analytic) = 1.8679203628474034631609189421053 y2[1] (numeric) = -1.4975477790593497722491644205284 absolute error = 3.3654681419067532354100833626337 relative error = 180.17192857068764439424527777042 % h = 0.001 y1[1] (analytic) = 1.8679203628474034631609189421053 y1[1] (numeric) = 1.9241291677327009807004230678704 absolute error = 0.0562088048852975175395041257651 relative error = 3.0091649517442194640094091290929 % h = 0.001 TOP MAIN SOLVE Loop memory used=2853.4MB, alloc=4.6MB, time=298.89 NO POLE NO POLE x[1] = 1.052 y2[1] (analytic) = 1.8684166321804995112314582987262 y2[1] (numeric) = -1.510998055415337776508633070342 absolute error = 3.3794146875958372877400913690682 relative error = 180.87050978838465518488331069442 % h = 0.001 y1[1] (analytic) = 1.8684166321804995112314582987262 y1[1] (numeric) = 1.9247202848851447089092634098908 absolute error = 0.0563036527046451976778051111646 relative error = 3.0134420629159733086233095183515 % h = 0.001 TOP MAIN SOLVE Loop memory used=2857.2MB, alloc=4.6MB, time=299.10 NO POLE NO POLE x[1] = 1.053 y2[1] (analytic) = 1.8689120330970357468527558638018 y2[1] (numeric) = -1.5244917603388700025132202168384 absolute error = 3.3934037934359057493659760806402 relative error = 181.57108164222071195931029227589 % h = 0.001 y1[1] (analytic) = 1.8689120330970357468527558638018 y1[1] (numeric) = 1.9253105506493053218557230466989 absolute error = 0.0563985175522695750029671828971 relative error = 3.0177192159659720390828835364238 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.054 y2[1] (analytic) = 1.8694065651016112947719843512738 y2[1] (numeric) = -1.538028976213967214271645760839 absolute error = 3.4074355413155785090436301121128 relative error = 182.27364795471165446178472296844 % h = 0.001 y1[1] (analytic) = 1.8694065651016112947719843512738 y1[1] (numeric) = 1.9258999643076104944877083357636 absolute error = 0.0564933992059991997157239844898 relative error = 3.0219964057379091337411059868674 % h = 0.001 TOP MAIN SOLVE Loop memory used=2861.0MB, alloc=4.6MB, time=299.31 NO POLE NO POLE x[1] = 1.055 y2[1] (analytic) = 1.8699002276996941916245948495095 y2[1] (numeric) = -1.5516097854788250535183438289421 absolute error = 3.4215100131785192451429386784516 relative error = 182.9782125534888937134543505232 % h = 0.001 y1[1] (analytic) = 1.8699002276996941916245948495095 y1[1] (numeric) = 1.9264885251432479368659437099475 absolute error = 0.056588297443553745241348860438 relative error = 3.0262736270783438142239840769895 % h = 0.001 TOP MAIN SOLVE Loop memory used=2864.9MB, alloc=4.6MB, time=299.52 NO POLE NO POLE x[1] = 1.056 y2[1] (analytic) = 1.8703930203976218804662389748547 y2[1] (numeric) = -1.565234270625721711684161409502 absolute error = 3.4356272910233435921504003843567 relative error = 183.6847792713091240407623373667 % h = 0.001 y1[1] (analytic) = 1.8703930203976218804662389748547 y1[1] (numeric) = 1.9270762324401662267652465545184 absolute error = 0.0566832120425443462990075796637 relative error = 3.0305508748366807379336730765089 % h = 0.001 TOP MAIN SOLVE Loop memory used=2868.7MB, alloc=4.6MB, time=299.73 NO POLE NO POLE x[1] = 1.057 y2[1] (analytic) = 1.8708849427026017044352846774374 y2[1] (numeric) = -1.5789025142009255340908767593949 absolute error = 3.4497874569035272385261614368323 relative error = 184.39335194606405704278538171503 % h = 0.001 y1[1] (analytic) = 1.8708849427026017044352846774374 y1[1] (numeric) = 1.9276630854830756416243348050796 absolute error = 0.0567781427804739371890501276422 relative error = 3.0348281438651497214077140367852 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2872.5MB, alloc=4.6MB, time=299.94 x[1] = 1.058 y2[1] (analytic) = 1.8713759941227113995454320367466 y2[1] (numeric) = -1.5926145988046025564533715184112 absolute error = 3.4639905929273139559988035551578 relative error = 185.10393442079017753272479041127 % h = 0.001 y1[1] (analytic) = 1.8713759941227113995454320367466 y1[1] (numeric) = 1.9282490835574489898432336133473 absolute error = 0.0568730894347375902978015766007 relative error = 3.0391054290187854943805279094204 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.059 y2[1] (analytic) = 1.871866174166899586607936254411 y2[1] (numeric) = -1.6063706070907239737733708039742 absolute error = 3.4782367812576235603813070583852 relative error = 185.81653054367852148893513799804 % h = 0.001 y1[1] (analytic) = 1.871866174166899586607936254411 y1[1] (numeric) = 1.9288342259495224414273479551594 absolute error = 0.0569680517826228548194117007484 relative error = 3.0433827251554074843936990152391 % h = 0.001 TOP MAIN SOLVE Loop memory used=2876.3MB, alloc=4.6MB, time=300.14 NO POLE NO POLE x[1] = 1.06 y2[1] (analytic) = 1.8723554823449862622829459219974 y2[1] (numeric) = -1.62017062176697354170874582127 absolute error = 3.4925261041119598039916917432674 relative error = 186.53114416808447605103889383426 % h = 0.001 y1[1] (analytic) = 1.8723554823449862622829459219974 y1[1] (numeric) = 1.9294185119462963579772685835769 absolute error = 0.0570630296013100956943226615795 relative error = 3.0476600271355996318019774930397 % h = 0.001 TOP MAIN SOLVE Loop memory used=2880.1MB, alloc=4.6MB, time=300.35 NO POLE NO POLE x[1] = 1.061 y2[1] (analytic) = 1.8728439181676632892594655125299 y2[1] (numeric) = -1.6340147255946549105024537126889 absolute error = 3.5068586437623181997619192252188 relative error = 187.24777915253760159683925916676 % h = 0.001 y1[1] (analytic) = 1.8728439181676632892594655125299 y1[1] (numeric) = 1.9300019408355361220233792594317 absolute error = 0.0571580226678728327639137469018 relative error = 3.0519373298226902350223251092387 % h = 0.001 TOP MAIN SOLVE Loop memory used=2883.9MB, alloc=4.6MB, time=300.56 NO POLE NO POLE x[1] = 1.062 y2[1] (analytic) = 1.8733314811464948855634519158083 y2[1] (numeric) = -1.6479030013885988915552694856334 absolute error = 3.5212344825350937771187214014417 relative error = 187.966439360751475935907431002 % h = 0.001 y1[1] (analytic) = 1.8733314811464948855634519158083 y1[1] (numeric) = 1.9305845119057729657043337221855 absolute error = 0.0572530307592780801408818063772 relative error = 3.0562146280827318258737216411985 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.063 y2[1] (analytic) = 1.8738181707939181129935557094709 y2[1] (numeric) = -1.6618355320170706567265448991522 absolute error = 3.5356537028109887697201006086231 relative error = 188.68712866163356065588460142059 % h = 0.001 y1[1] (analytic) = 1.8738181707939181129935557094709 y1[1] (numeric) = 1.9311662244463047987884713954939 absolute error = 0.057348053652386685794915686023 relative error = 3.060491916784481074855839965913 % h = 0.001 TOP MAIN SOLVE Loop memory used=2887.7MB, alloc=4.6MB, time=300.76 NO POLE NO POLE x[1] = 1.064 y2[1] (analytic) = 1.8743039866232433646840187301006 y2[1] (numeric) = -1.6758124004016768704473091574216 absolute error = 3.5501163870249202351313278875222 relative error = 189.40985092929508965770321166252 % h = 0.001 y1[1] (analytic) = 1.8743039866232433646840187301006 y1[1] (numeric) = 1.9317470777471970360372413544135 absolute error = 0.0574430911239536713532226243129 relative error = 3.0647691907993787262150869986528 % h = 0.001 TOP MAIN SOLVE Loop memory used=2891.6MB, alloc=4.6MB, time=300.97 NO POLE NO POLE x[1] = 1.065 y2[1] (analytic) = 1.8747889281486548517942403815169 y2[1] (numeric) = -1.6898336895172727547301061517208 absolute error = 3.5646226176659276065243465332377 relative error = 190.13461004306097991609631190987 % h = 0.001 y1[1] (analytic) = 1.8747889281486548517942403815169 y1[1] (numeric) = 1.9323270710992834239097046147528 absolute error = 0.0575381429506285721154642332359 relative error = 3.069046445001529562646894740095 % h = 0.001 TOP MAIN SOLVE Loop memory used=2895.4MB, alloc=4.6MB, time=301.18 NO POLE NO POLE x[1] = 1.066 y2[1] (analytic) = 1.875272994885211089324525990729 y2[1] (numeric) = -1.7038994823918690871600428121512 absolute error = 3.5791724772770801764845688028802 relative error = 190.8614098874797645019283322288 % h = 0.001 y1[1] (analytic) = 1.875272994885211089324525990729 y1[1] (numeric) = 1.932906203794166866607185339644 absolute error = 0.057633208908955777282659348915 relative error = 3.0733236742676823994835309119396 % h = 0.001 TOP MAIN SOLVE Loop memory used=2899.2MB, alloc=4.6MB, time=301.38 NO POLE NO POLE x[1] = 1.067 y2[1] (analytic) = 1.8757561863488453810575313958413 y2[1] (numeric) = -1.7180098621065391319516028758321 absolute error = 3.5937660484553845130091342716734 relative error = 191.59025435233354790304514962561 % h = 0.001 y1[1] (analytic) = 1.8757561863488453810575313958413 y1[1] (numeric) = 1.9334844751242202514571420940075 absolute error = 0.0577282887753748703996106981662 relative error = 3.0776008734772101082170819974086 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.068 y2[1] (analytic) = 1.8762385020563663036249188245075 y2[1] (numeric) = -1.7321649117953255041558600495849 absolute error = 3.6084034138516918077807788740924 relative error = 192.32114733264798368050604264261 % h = 0.001 y1[1] (analytic) = 1.8762385020563663036249188245075 y1[1] (numeric) = 1.9340618843825872736353308141879 absolute error = 0.0578233823262209700104119896804 relative error = 3.0818780375120896692076429604709 % h = 0.001 TOP MAIN SOLVE Loop memory used=2903.0MB, alloc=4.6MB, time=301.59 NO POLE NO POLE x[1] = 1.069 y2[1] (analytic) = 1.876719941525458189698739996318 y2[1] (numeric) = -1.7463647146451469671028041420932 absolute error = 3.6230846561706051568015441384112 relative error = 193.05409272870227449722496038699 % h = 0.001 y1[1] (analytic) = 1.876719941525458189698739996318 y1[1] (numeric) = 1.934638430863183260225331697665 absolute error = 0.057918489337725070526591701347 relative error = 3.0861551612568822534271275034182 % h = 0.001 TOP MAIN SOLVE Loop memory used=2906.8MB, alloc=4.6MB, time=301.79 NO POLE NO POLE x[1] = 1.07 y2[1] (analytic) = 1.8772005042746816103070632577768 y2[1] (numeric) = -1.7606093538957051631635732631157 absolute error = 3.6378098581703867734706365208925 relative error = 193.78909444603919455621349936694 % h = 0.001 y1[1] (analytic) = 1.8772005042746816103070632577768 y1[1] (numeric) = 1.9352141138606959936145127563801 absolute error = 0.0580136095860143833074494986033 relative error = 3.090432239598713333089490442966 % h = 0.001 TOP MAIN SOLVE Loop memory used=2910.6MB, alloc=4.6MB, time=302.00 NO POLE NO POLE x[1] = 1.071 y2[1] (analytic) = 1.8776801898234738562733624342827 y2[1] (numeric) = -1.774898912839391277917464635436 absolute error = 3.6525791026628651341908270697187 relative error = 194.52615639547513448578308101903 % h = 0.001 y1[1] (analytic) = 1.8776801898234738562733624342827 y1[1] (numeric) = 1.9357889326705865342255033168705 absolute error = 0.0581087428471126779521408825878 relative error = 3.0947092674272528210185296469717 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2914.4MB, alloc=4.6MB, time=302.21 x[1] = 1.072 y2[1] (analytic) = 1.8781589976921494187791859597638 y2[1] (numeric) = -1.7892334748211926378086759387675 absolute error = 3.6673924725133420565878618985313 relative error = 195.26528249311016870922905736463 % h = 0.001 y1[1] (analytic) = 1.8781589976921494187791859597638 y1[1] (numeric) = 1.9363628865890900425822512910698 absolute error = 0.058203888896940623803065331306 relative error = 3.0989862396346952386048089842139 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.073 y2[1] (analytic) = 1.8786369274019004690496257213382 y2[1] (numeric) = -1.8036131232385992413778084037054 absolute error = 3.6822500506404997104274341250436 relative error = 196.00647666033814533668484384249 % h = 0.001 y1[1] (analytic) = 1.8786369274019004690496257213382 y1[1] (numeric) = 1.9369359749132166007097385833118 absolute error = 0.0582990475113161316601128619736 relative error = 3.1032631511157399122036159044301 % h = 0.001 TOP MAIN SOLVE Loop memory used=2918.3MB, alloc=4.6MB, time=302.41 NO POLE NO POLE x[1] = 1.074 y2[1] (analytic) = 1.8791139784747973371611059335712 y2[1] (numeric) = -1.818037941541510224153242097937 absolute error = 3.6971519200163075613143480315082 relative error = 196.74974282385679861699968904206 % h = 0.001 y1[1] (analytic) = 1.8791139784747973371611059335712 y1[1] (numeric) = 1.9375081969407520328664295417651 absolute error = 0.0583942184659546957053236081939 relative error = 3.1075399967675711978262375920739 % h = 0.001 TOP MAIN SOLVE Loop memory used=2922.1MB, alloc=4.6MB, time=302.62 NO POLE NO POLE x[1] = 1.075 y2[1] (analytic) = 1.8795901504337889899710132345797 y2[1] (numeric) = -1.832508013232140257287572996195 absolute error = 3.7120981636659292472585862307747 relative error = 197.4950849156778839876593428175 % h = 0.001 y1[1] (analytic) = 1.8795901504337889899710132345797 y1[1] (numeric) = 1.9380795519702587256085279062317 absolute error = 0.058489401536469735637514671652 relative error = 3.111816771489838733977208131417 % h = 0.001 TOP MAIN SOLVE Loop memory used=2925.9MB, alloc=4.6MB, time=302.83 NO POLE NO POLE x[1] = 1.076 y2[1] (analytic) = 1.8800654428027035081686900743944 y2[1] (numeric) = -1.847023421864925880024380499781 absolute error = 3.7270888646676293881930705741754 relative error = 198.24250687313733576093467910459 % h = 0.001 y1[1] (analytic) = 1.8800654428027035081686900743944 y1[1] (numeric) = 1.9386500393010764471851182489582 absolute error = 0.0585845964983729390164281745638 relative error = 3.1160934701846377224905457889494 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.077 y2[1] (analytic) = 1.8805398551062485624473143446251 memory used=2929.7MB, alloc=4.6MB, time=303.03 y2[1] (numeric) = -1.8615842510464317660806730708001 absolute error = 3.7421241061526803285279874154252 relative error = 198.99201263890544748460926970044 % h = 0.001 y1[1] (analytic) = 1.8805398551062485624473143446251 y1[1] (numeric) = 1.9392196582333231662632684508346 absolute error = 0.0586798031270746038159541062095 relative error = 3.1203700877564892372183643683183 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.078 y2[1] (analytic) = 1.8810133868700118887961890775899 y2[1] (numeric) = -1.876190584435256924030438570446 absolute error = 3.7572039713052688128266276480359 relative error = 199.74360616099707501580299230407 % h = 0.001 y1[1] (analytic) = 1.8810133868700118887961890775899 y1[1] (numeric) = 1.9397884080678958699821703020971 absolute error = 0.0587750211978839811859812245072 relative error = 3.1246466191123205604256056295909 % h = 0.001 TOP MAIN SOLVE Loop memory used=2933.5MB, alloc=4.6MB, time=303.24 NO POLE NO POLE x[1] = 1.079 y2[1] (analytic) = 1.8814860376204617629129669226588 y2[1] (numeric) = -1.8908425057419408317748047396703 absolute error = 3.7723285433624025946877716623291 relative error = 200.49729139278186234657499226258 % h = 0.001 y1[1] (analytic) = 1.8814860376204617629129669226588 y1[1] (numeric) = 1.9403562881064713813353958643985 absolute error = 0.0588702504860096184224289417397 relative error = 3.1289230591614455467450009946636 % h = 0.001 TOP MAIN SOLVE Loop memory used=2937.3MB, alloc=4.6MB, time=303.45 NO POLE NO POLE x[1] = 1.08 y2[1] (analytic) = 1.8819578068849474737353349876248 y2[1] (numeric) = -1.9055400987288695051843940342643 absolute error = 3.7874979056138169789197290218891 relative error = 201.25307229299449022015570472446 % h = 0.001 y1[1] (analytic) = 1.8819578068849474737353349876248 y1[1] (numeric) = 1.9409232976515071758803477798711 absolute error = 0.0589654907665597021450127922463 relative error = 3.1331994028155450145467301910348 % h = 0.001 TOP MAIN SOLVE Loop memory used=2941.1MB, alloc=4.6MB, time=303.66 NO POLE NO POLE x[1] = 1.081 y2[1] (analytic) = 1.8824286941916997960916865134587 y2[1] (numeric) = -1.920283447210181500999535724691 absolute error = 3.8027121414018812970912222381497 relative error = 202.01095282574494757682418427447 % h = 0.001 y1[1] (analytic) = 1.8824286941916997960916865134587 y1[1] (numeric) = 1.9414894360062421977739822625772 absolute error = 0.0590607418145424016822957491185 relative error = 3.1374756449886471645776021225131 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.082 y2[1] (analytic) = 1.8828986990698314624703067318156 y2[1] (numeric) = -1.9350726350516738540740767938361 absolute error = 3.8179713341215053165443835256517 relative error = 202.77093696052882586861368461359 % h = 0.001 y1[1] (analytic) = 1.8828986990698314624703067318156 y1[1] (numeric) = 1.9420547024746976751338840585213 absolute error = 0.0591560034048662126635773267057 relative error = 3.1417517805971080257249391046784 % h = 0.001 TOP MAIN SOLVE Loop memory used=2945.0MB, alloc=4.6MB, time=303.87 NO POLE NO POLE x[1] = 1.083 y2[1] (analytic) = 1.8833678210493376339066011361452 y2[1] (numeric) = -1.9499077461707079490486117131116 absolute error = 3.8332755672200455829552128492568 relative error = 203.53302867223763628219528345689 % h = 0.001 y1[1] (analytic) = 1.8833678210493376339066011361452 y1[1] (numeric) = 1.9426190963616779347237732121865 absolute error = 0.0592512753123403008171720760413 relative error = 3.1460278045595919277606996711081 % h = 0.001 TOP MAIN SOLVE Loop memory used=2948.8MB, alloc=4.6MB, time=304.07 NO POLE NO POLE x[1] = 1.084 y2[1] (analytic) = 1.8838360596610963699878952792174 y2[1] (numeric) = -1.9647888645361153265390296489513 absolute error = 3.8486249241972116965269249281687 relative error = 204.29723194116914990945635954888 % h = 0.001 y1[1] (analytic) = 1.8838360596610963699878952792174 y1[1] (numeric) = 1.9431826169727712159625240303567 absolute error = 0.0593465573116748459746287511393 relative error = 3.1503037117970520009217274496555 % h = 0.001 TOP MAIN SOLVE Loop memory used=2952.6MB, alloc=4.6MB, time=304.28 NO POLE NO POLE x[1] = 1.085 y2[1] (analytic) = 1.8843034144368690979753360923033 y2[1] (numeric) = -1.9797160741681034239263560475956 absolute error = 3.8640194886049725219016921398989 relative error = 205.06355075303776090545790154309 % h = 0.001 y1[1] (analytic) = 1.8843034144368690979753360923033 y1[1] (numeric) = 1.9437452636143504842557771877901 absolute error = 0.0594418491774813862804410954868 relative error = 3.1545794972327107021823641326079 % h = 0.001 TOP MAIN SOLVE Loop memory used=2956.4MB, alloc=4.6MB, time=304.49 NO POLE NO POLE x[1] = 1.086 y2[1] (analytic) = 1.8847698849093010810424256041483 y2[1] (numeric) = -1.9946894591381612508339438660847 absolute error = 3.879459344047462331876369470233 relative error = 205.8319890989848726736219644562 % h = 0.001 y1[1] (analytic) = 1.8847698849093010810424256041483 y1[1] (numeric) = 1.9443070355935742436492264741242 absolute error = 0.0595371506842731626068008699759 relative error = 3.1588551557920403680760133268881 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.087 y2[1] (analytic) = 1.8852354706119218856297188212437 y2[1] (numeric) = -2.0097091035689649993781479614715 absolute error = 3.8949445741808868850078667827152 relative error = 206.60255097558930711816809048667 % h = 0.001 y1[1] (analytic) = 1.8852354706119218856297188212437 y1[1] (numeric) = 1.9448679322183873488026622372139 absolute error = 0.0596324616064654631729434159702 relative error = 3.1631306824027437939225890762115 % h = 0.001 TOP MAIN SOLVE Loop memory used=2960.2MB, alloc=4.6MB, time=304.69 NO POLE NO POLE x[1] = 1.088 y2[1] (analytic) = 1.8857001710791458479152184147362 y2[1] (numeric) = -2.0247750916342835892786943183414 absolute error = 3.9104752627134294371939127330776 relative error = 207.37524038487773700398517917966 % h = 0.001 y1[1] (analytic) = 1.8857001710791458479152184147362 y1[1] (numeric) = 1.9454279527975218162838541349316 absolute error = 0.0597277817183759683686357201954 relative error = 3.1674060719947348393191281028445 % h = 0.001 TOP MAIN SOLVE Loop memory used=2964.0MB, alloc=4.6MB, time=304.90 NO POLE NO POLE x[1] = 1.089 y2[1] (analytic) = 1.8861639858462725393999997436219 y2[1] (numeric) = -2.0398875075588841479150338866936 absolute error = 3.9260514934051566873150336303155 relative error = 208.15006133433514146429312922069 % h = 0.001 y1[1] (analytic) = 1.8861639858462725393999997436219 y1[1] (numeric) = 1.945987096640497635181356365294 absolute error = 0.0598231107942250957813566216721 relative error = 3.1716813195001190597511883279129 % h = 0.001 TOP MAIN SOLVE Loop memory used=2967.9MB, alloc=4.6MB, time=305.11 NO POLE NO POLE x[1] = 1.09 y2[1] (analytic) = 1.886626914449487231608600628636 y2[1] (numeric) = -2.0550464356184374254150488180095 absolute error = 3.9416733500679246570236494466455 relative error = 208.92701783691528469661658254606 % h = 0.001 y1[1] (analytic) = 1.886626914449487231608600628636 y1[1] (numeric) = 1.9465453630576235770353191036214 absolute error = 0.0599184486081363454267184749854 relative error = 3.1759564198531743641829980028473 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE memory used=2971.7MB, alloc=4.6MB, time=305.32 x[1] = 1.091 y2[1] (analytic) = 1.8870889564258613599037111764894 y2[1] (numeric) = -2.070251960139423144862556826818 absolute error = 3.9573409165652845047662680033074 relative error = 209.70611391105121788776128296247 % h = 0.001 y1[1] (analytic) = 1.8870889564258613599037111764894 y1[1] (numeric) = 1.9471027513599980050853904352811 absolute error = 0.0600137949341366451816792587917 relative error = 3.1802313679903316984846598254998 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.092 y2[1] (analytic) = 1.8875501113133529864146998397988 y2[1] (numeric) = -2.0855041654990352877101372681735 absolute error = 3.9730542768123882741248371079723 relative error = 210.4873535806658044086519180672 % h = 0.001 y1[1] (analytic) = 1.8875501113133529864146998397988 y1[1] (numeric) = 1.9476592608595096828347936334201 absolute error = 0.0601091495461566964200937936213 relative error = 3.1845061588501557545550527299149 % h = 0.001 TOP MAIN SOLVE Loop memory used=2975.5MB, alloc=4.6MB, time=305.53 NO POLE NO POLE x[1] = 1.093 y2[1] (analytic) = 1.8880103786508072620795127842255 y2[1] (numeric) = -2.1008031361250873144838803081056 absolute error = 3.9888135147758945765633930923311 relative error = 211.27074087518226832005884694582 % h = 0.001 y1[1] (analytic) = 1.8880103786508072620795127842255 y1[1] (numeric) = 1.9482148908688385819296651929492 absolute error = 0.0602045122180313198501524087237 relative error = 3.1887807873733257049994106334178 % h = 0.001 TOP MAIN SOLVE Loop memory used=2979.3MB, alloc=4.6MB, time=305.74 NO POLE NO POLE x[1] = 1.094 y2[1] (analytic) = 1.8884697579779568877994845209589 y2[1] (numeric) = -2.116148956495917320866738274183 absolute error = 4.0046187144738742086662227951419 relative error = 212.05627982953476623040982889163 % h = 0.001 y1[1] (analytic) = 1.8884697579779568877994845209589 y1[1] (numeric) = 1.9487696407014566893527395949017 absolute error = 0.0602998827234998015532550739428 relative error = 3.1930552485026159632208923056572 % h = 0.001 TOP MAIN SOLVE Loop memory used=2983.1MB, alloc=4.6MB, time=305.95 NO POLE NO POLE x[1] = 1.095 y2[1] (analytic) = 1.888928248835422574706598649776 y2[1] (numeric) = -2.1315417111402931292472359067768 absolute error = 4.0204699599757157039538345565528 relative error = 212.84397448417898254705176223064 % h = 0.001 y1[1] (analytic) = 1.888928248835422574706598649776 y1[1] (numeric) = 1.949323509671628813930467339157 absolute error = 0.060395260836206239223868689381 relative error = 3.1973295371828769687857896962581 % h = 0.001 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.096 y2[1] (analytic) = 1.8893858507647135035427384454507 y2[1] (numeric) = -2.146981484637317315820373788312 absolute error = 4.0363673354020308193631122337627 relative error = 213.63382888510274816249651924154 % h = 0.001 y1[1] (analytic) = 1.8893858507647135035427384454507 y1[1] (numeric) = 1.9498764970944133921526533483872 absolute error = 0.0604906463296998886099149029365 relative error = 3.2016036483610159979223535278297 % h = 0.001 TOP MAIN SOLVE Loop memory used=2986.9MB, alloc=4.6MB, time=306.16 NO POLE NO POLE x[1] = 1.097 y2[1] (analytic) = 1.8898425633082277831504679083043 y2[1] (numeric) = -2.1624683616163321733276367076817 absolute error = 4.052310924924559956478104615986 relative error = 214.42584708383668261735422512245 % h = 0.001 y1[1] (analytic) = 1.8898425633082277831504679083043 y1[1] (numeric) = 1.9504286022856632933037034119597 absolute error = 0.0605860389774355101532355036554 relative error = 3.205877576985977999013544733847 % h = 0.001 TOP MAIN SOLVE Loop memory used=2990.7MB, alloc=4.6MB, time=306.37 NO POLE NO POLE x[1] = 1.098 y2[1] (analytic) = 1.8902983860092529080748847881513 y2[1] (numeric) = -2.178002426756824609523096119965 absolute error = 4.0683008127660775175979809081163 relative error = 215.22003313746485978182677796743 % h = 0.001 y1[1] (analytic) = 1.8902983860092529080748847881513 y1[1] (numeric) = 1.9509798245620266239045669054025 absolute error = 0.0606814385527737158296821172512 relative error = 3.2101513180087264529443484033483 % h = 0.001 TOP MAIN SOLVE Loop memory used=2994.6MB, alloc=4.6MB, time=306.57 NO POLE NO POLE x[1] = 1.099 y2[1] (analytic) = 1.8907533184119662152760879798278 y2[1] (numeric) = -2.1935837647883309814526731875588 absolute error = 4.0843370832002971967287611673866 relative error = 216.01639110863549709780404476527 % h = 0.001 y1[1] (analytic) = 1.8907533184119662152760879798278 y1[1] (numeric) = 1.9515301632409475314644645889182 absolute error = 0.0607768448289813161883766090904 relative error = 3.2144248663822242581646132911639 % h = 0.001 TOP MAIN SOLVE Loop memory used=2998.4MB, alloc=4.6MB, time=306.78 NO POLE NO POLE x[1] = 1.1 y2[1] (analytic) = 1.8912073600614353399518025778717 y2[1] (numeric) = -2.2092124604903418656337061377102 absolute error = 4.1004198205517772055855087155819 relative error = 216.81492506557166842377499751339 % h = 0.001 y1[1] (analytic) = 1.8912073600614353399518025778717 y1[1] (numeric) = 1.952079617640667007541490857312 absolute error = 0.0608722575792316675896882794403 relative error = 3.2186982170614146403287046701171 % h = 0.001 Finished! Maximum Iterations Reached before Solution Completed! diff ( y2 , x , 4 ) = y1 - 1.0; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ; Iterations = 1000 Total Elapsed Time = 5 Minutes 6 Seconds Elapsed Time(since restart) = 5 Minutes 6 Seconds Expected Time Remaining = 20 Minutes 25 Seconds Optimized Time Remaining = 20 Minutes 25 Seconds Time to Timeout = 9 Minutes 53 Seconds Percent Done = 20.02 % > quit memory used=2999.0MB, alloc=4.6MB, time=306.81