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._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #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