|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
| Type ? for help.
> #BEGIN OUTFILE1
>
> # Begin Function number 3
> display_alot := proc(iter)
> global
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> glob_max_terms,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_max_rel_trunc_err,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_hmin,
> years_in_century,
> days_in_year,
> glob_smallish_float,
> glob_log10relerr,
> glob_current_iter,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_disp_incr,
> hours_in_day,
> sec_in_min,
> glob_dump,
> glob_max_minutes,
> glob_max_iter,
> glob_max_hours,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_start,
> glob_warned,
> glob_optimal_start,
> glob_hmax,
> djd_debug2,
> djd_debug,
> glob_html_log,
> glob_max_sec,
> glob_display_flag,
> glob_log10abserr,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_reached_optimal_h,
> glob_clock_start_sec,
> centuries_in_millinium,
> MAX_UNCHANGED,
> glob_max_trunc_err,
> glob_relerr,
> glob_large_float,
> glob_hmin_init,
> glob_not_yet_start_msg,
> glob_not_yet_finished,
> glob_almost_1,
> glob_percent_done,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned2,
> glob_last_good_h,
> glob_clock_sec,
> glob_subiter_method,
> glob_no_eqs,
> glob_log10_relerr,
> glob_h,
> glob_optimal_done,
> glob_initial_pass,
> min_in_hour,
> glob_max_opt_iter,
> glob_look_poles,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_2D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_norms,
> array_type_pole,
> array_pole,
> array_x,
> array_m1,
> array_y2,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y1_init,
> array_last_rel_error,
> array_1st_rel_error,
> array_y2_init,
> array_y2_set_initial,
> array_real_pole,
> array_y2_higher_work,
> array_y1_higher,
> array_poles,
> array_y2_higher,
> array_complex_pole,
> array_y2_higher_work2,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y1_higher_work,
> glob_last;
>
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (iter >= 0) then # if number 1
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y2(ind_var);
> omniout_float(ALWAYS,"y2[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y2[term_no];
> abserr := abs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y2[1] (numeric) ",33,numeric_val,20," ");
> if (abs(analytic_val_y) <> 0.0) then # if number 2
> relerr := abserr*100.0/abs(analytic_val_y);
> else
> relerr := -1.0 ;
> fi;# end if 2
> ;
> if glob_iter = 1 then # if number 2
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 2
> ;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> ;
> analytic_val_y := exact_soln_y1(ind_var);
> omniout_float(ALWAYS,"y1[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y1[term_no];
> abserr := abs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y1[1] (numeric) ",33,numeric_val,20," ");
> if (abs(analytic_val_y) <> 0.0) then # if number 2
> relerr := abserr*100.0/abs(analytic_val_y);
> else
> relerr := -1.0 ;
> fi;# end if 2
> ;
> if glob_iter = 1 then # if number 2
> array_1st_rel_error[2] := relerr;
> else
> array_last_rel_error[2] := relerr;
> fi;# end if 2
> ;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> #BOTTOM DISPLAY ALOT
> fi;# end if 1
> ;
> # End Function number 3
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, glob_max_terms, ALWAYS,
glob_normmax, glob_iter, glob_max_rel_trunc_err, glob_log10_abserr,
glob_dump_analytic, glob_hmin, years_in_century, days_in_year,
glob_smallish_float, glob_log10relerr, glob_current_iter,
glob_unchanged_h_cnt, glob_small_float, glob_disp_incr, hours_in_day,
sec_in_min, glob_dump, glob_max_minutes, glob_max_iter, glob_max_hours,
glob_optimal_expect_sec, glob_log10normmin, glob_start, glob_warned,
glob_optimal_start, glob_hmax, djd_debug2, djd_debug, glob_html_log,
glob_max_sec, glob_display_flag, glob_log10abserr,
glob_optimal_clock_start_sec, glob_abserr, glob_reached_optimal_h,
glob_clock_start_sec, centuries_in_millinium, MAX_UNCHANGED,
glob_max_trunc_err, glob_relerr, glob_large_float, glob_hmin_init,
glob_not_yet_start_msg, glob_not_yet_finished, glob_almost_1,
glob_percent_done, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_warned2, glob_last_good_h, glob_clock_sec, glob_subiter_method,
glob_no_eqs, glob_log10_relerr, glob_h, glob_optimal_done,
glob_initial_pass, min_in_hour, glob_max_opt_iter, glob_look_poles,
array_const_5, array_const_2D0, array_const_1, array_const_0D0, array_norms,
array_type_pole, array_pole, array_x, array_m1, array_y2, array_y1,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y1_init,
array_last_rel_error, array_1st_rel_error, array_y2_init,
array_y2_set_initial, array_real_pole, array_y2_higher_work,
array_y1_higher, array_poles, array_y2_higher, array_complex_pole,
array_y2_higher_work2, array_y1_higher_work2, array_y1_set_initial,
array_y1_higher_work, glob_last;
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y2(ind_var);
omniout_float(ALWAYS, "y2[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y2[term_no];
abserr := abs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y2[1] (numeric) ", 33,
numeric_val, 20, " ");
if abs(analytic_val_y) <> 0. then
relerr := abserr*100.0/abs(analytic_val_y)
else relerr := -1.0
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ");
analytic_val_y := exact_soln_y1(ind_var);
omniout_float(ALWAYS, "y1[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y1[term_no];
abserr := abs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y1[1] (numeric) ", 33,
numeric_val, 20, " ");
if abs(analytic_val_y) <> 0. then
relerr := abserr*100.0/abs(analytic_val_y)
else relerr := -1.0
end if;
if glob_iter = 1 then array_1st_rel_error[2] := relerr
else array_last_rel_error[2] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end proc
> # Begin Function number 4
> adjust_for_pole := proc(h_param)
> global
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> glob_max_terms,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_max_rel_trunc_err,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_hmin,
> years_in_century,
> days_in_year,
> glob_smallish_float,
> glob_log10relerr,
> glob_current_iter,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_disp_incr,
> hours_in_day,
> sec_in_min,
> glob_dump,
> glob_max_minutes,
> glob_max_iter,
> glob_max_hours,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_start,
> glob_warned,
> glob_optimal_start,
> glob_hmax,
> djd_debug2,
> djd_debug,
> glob_html_log,
> glob_max_sec,
> glob_display_flag,
> glob_log10abserr,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_reached_optimal_h,
> glob_clock_start_sec,
> centuries_in_millinium,
> MAX_UNCHANGED,
> glob_max_trunc_err,
> glob_relerr,
> glob_large_float,
> glob_hmin_init,
> glob_not_yet_start_msg,
> glob_not_yet_finished,
> glob_almost_1,
> glob_percent_done,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned2,
> glob_last_good_h,
> glob_clock_sec,
> glob_subiter_method,
> glob_no_eqs,
> glob_log10_relerr,
> glob_h,
> glob_optimal_done,
> glob_initial_pass,
> min_in_hour,
> glob_max_opt_iter,
> glob_look_poles,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_2D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_norms,
> array_type_pole,
> array_pole,
> array_x,
> array_m1,
> array_y2,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y1_init,
> array_last_rel_error,
> array_1st_rel_error,
> array_y2_init,
> array_y2_set_initial,
> array_real_pole,
> array_y2_higher_work,
> array_y1_higher,
> array_poles,
> array_y2_higher,
> array_complex_pole,
> array_y2_higher_work2,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y1_higher_work,
> glob_last;
>
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
>
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 1
> tmp := abs(array_y2_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1
> ;
> if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 1
> tmp := abs(array_y1_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1
> ;
> if (glob_look_poles and (abs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> newline();
> return(hnew);
> fi;# end if 2
> fi;# end if 1
> ;
> if (not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1
> ;
> hnew := sz2;
> #END block
> #BOTTOM ADJUST FOR POLE
> # End Function number 4
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, glob_max_terms, ALWAYS,
glob_normmax, glob_iter, glob_max_rel_trunc_err, glob_log10_abserr,
glob_dump_analytic, glob_hmin, years_in_century, days_in_year,
glob_smallish_float, glob_log10relerr, glob_current_iter,
glob_unchanged_h_cnt, glob_small_float, glob_disp_incr, hours_in_day,
sec_in_min, glob_dump, glob_max_minutes, glob_max_iter, glob_max_hours,
glob_optimal_expect_sec, glob_log10normmin, glob_start, glob_warned,
glob_optimal_start, glob_hmax, djd_debug2, djd_debug, glob_html_log,
glob_max_sec, glob_display_flag, glob_log10abserr,
glob_optimal_clock_start_sec, glob_abserr, glob_reached_optimal_h,
glob_clock_start_sec, centuries_in_millinium, MAX_UNCHANGED,
glob_max_trunc_err, glob_relerr, glob_large_float, glob_hmin_init,
glob_not_yet_start_msg, glob_not_yet_finished, glob_almost_1,
glob_percent_done, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_warned2, glob_last_good_h, glob_clock_sec, glob_subiter_method,
glob_no_eqs, glob_log10_relerr, glob_h, glob_optimal_done,
glob_initial_pass, min_in_hour, glob_max_opt_iter, glob_look_poles,
array_const_5, array_const_2D0, array_const_1, array_const_0D0, array_norms,
array_type_pole, array_pole, array_x, array_m1, array_y2, array_y1,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y1_init,
array_last_rel_error, array_1st_rel_error, array_y2_init,
array_y2_set_initial, array_real_pole, array_y2_higher_work,
array_y1_higher, array_poles, array_y2_higher, array_complex_pole,
array_y2_higher_work2, array_y1_higher_work2, array_y1_set_initial,
array_y1_higher_work, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < abs(array_y2_higher[1, 1]) then
tmp := abs(array_y2_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_small_float < abs(array_y1_higher[1, 1]) then
tmp := abs(array_y1_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < abs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
newline();
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2
end proc
> # Begin Function number 5
> prog_report := proc(x_start,x_end)
> global
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> glob_max_terms,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_max_rel_trunc_err,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_hmin,
> years_in_century,
> days_in_year,
> glob_smallish_float,
> glob_log10relerr,
> glob_current_iter,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_disp_incr,
> hours_in_day,
> sec_in_min,
> glob_dump,
> glob_max_minutes,
> glob_max_iter,
> glob_max_hours,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_start,
> glob_warned,
> glob_optimal_start,
> glob_hmax,
> djd_debug2,
> djd_debug,
> glob_html_log,
> glob_max_sec,
> glob_display_flag,
> glob_log10abserr,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_reached_optimal_h,
> glob_clock_start_sec,
> centuries_in_millinium,
> MAX_UNCHANGED,
> glob_max_trunc_err,
> glob_relerr,
> glob_large_float,
> glob_hmin_init,
> glob_not_yet_start_msg,
> glob_not_yet_finished,
> glob_almost_1,
> glob_percent_done,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned2,
> glob_last_good_h,
> glob_clock_sec,
> glob_subiter_method,
> glob_no_eqs,
> glob_log10_relerr,
> glob_h,
> glob_optimal_done,
> glob_initial_pass,
> min_in_hour,
> glob_max_opt_iter,
> glob_look_poles,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_2D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_norms,
> array_type_pole,
> array_pole,
> array_x,
> array_m1,
> array_y2,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y1_init,
> array_last_rel_error,
> array_1st_rel_error,
> array_y2_init,
> array_y2_set_initial,
> array_real_pole,
> array_y2_higher_work,
> array_y1_higher,
> array_poles,
> array_y2_higher,
> array_complex_pole,
> array_y2_higher_work2,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y1_higher_work,
> glob_last;
>
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if convfloat(percent_done) < convfloat(100.0) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> fi;# end if 1
> ;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> # End Function number 5
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, glob_max_terms, ALWAYS,
glob_normmax, glob_iter, glob_max_rel_trunc_err, glob_log10_abserr,
glob_dump_analytic, glob_hmin, years_in_century, days_in_year,
glob_smallish_float, glob_log10relerr, glob_current_iter,
glob_unchanged_h_cnt, glob_small_float, glob_disp_incr, hours_in_day,
sec_in_min, glob_dump, glob_max_minutes, glob_max_iter, glob_max_hours,
glob_optimal_expect_sec, glob_log10normmin, glob_start, glob_warned,
glob_optimal_start, glob_hmax, djd_debug2, djd_debug, glob_html_log,
glob_max_sec, glob_display_flag, glob_log10abserr,
glob_optimal_clock_start_sec, glob_abserr, glob_reached_optimal_h,
glob_clock_start_sec, centuries_in_millinium, MAX_UNCHANGED,
glob_max_trunc_err, glob_relerr, glob_large_float, glob_hmin_init,
glob_not_yet_start_msg, glob_not_yet_finished, glob_almost_1,
glob_percent_done, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_warned2, glob_last_good_h, glob_clock_sec, glob_subiter_method,
glob_no_eqs, glob_log10_relerr, glob_h, glob_optimal_done,
glob_initial_pass, min_in_hour, glob_max_opt_iter, glob_look_poles,
array_const_5, array_const_2D0, array_const_1, array_const_0D0, array_norms,
array_type_pole, array_pole, array_x, array_m1, array_y2, array_y1,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y1_init,
array_last_rel_error, array_1st_rel_error, array_y2_init,
array_y2_set_initial, array_real_pole, array_y2_higher_work,
array_y1_higher, array_poles, array_y2_higher, array_complex_pole,
array_y2_higher_work2, array_y1_higher_work2, array_y1_set_initial,
array_y1_higher_work, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # Begin Function number 6
> check_for_pole := proc()
> global
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> glob_max_terms,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_max_rel_trunc_err,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_hmin,
> years_in_century,
> days_in_year,
> glob_smallish_float,
> glob_log10relerr,
> glob_current_iter,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_disp_incr,
> hours_in_day,
> sec_in_min,
> glob_dump,
> glob_max_minutes,
> glob_max_iter,
> glob_max_hours,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_start,
> glob_warned,
> glob_optimal_start,
> glob_hmax,
> djd_debug2,
> djd_debug,
> glob_html_log,
> glob_max_sec,
> glob_display_flag,
> glob_log10abserr,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_reached_optimal_h,
> glob_clock_start_sec,
> centuries_in_millinium,
> MAX_UNCHANGED,
> glob_max_trunc_err,
> glob_relerr,
> glob_large_float,
> glob_hmin_init,
> glob_not_yet_start_msg,
> glob_not_yet_finished,
> glob_almost_1,
> glob_percent_done,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned2,
> glob_last_good_h,
> glob_clock_sec,
> glob_subiter_method,
> glob_no_eqs,
> glob_log10_relerr,
> glob_h,
> glob_optimal_done,
> glob_initial_pass,
> min_in_hour,
> glob_max_opt_iter,
> glob_look_poles,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_2D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_norms,
> array_type_pole,
> array_pole,
> array_x,
> array_m1,
> array_y2,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y1_init,
> array_last_rel_error,
> array_1st_rel_error,
> array_y2_init,
> array_y2_set_initial,
> array_real_pole,
> array_y2_higher_work,
> array_y1_higher,
> array_poles,
> array_y2_higher,
> array_complex_pole,
> array_y2_higher_work2,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y1_higher_work,
> glob_last;
>
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 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 - 1 - 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 DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, glob_max_terms, ALWAYS,
glob_normmax, glob_iter, glob_max_rel_trunc_err, glob_log10_abserr,
glob_dump_analytic, glob_hmin, years_in_century, days_in_year,
glob_smallish_float, glob_log10relerr, glob_current_iter,
glob_unchanged_h_cnt, glob_small_float, glob_disp_incr, hours_in_day,
sec_in_min, glob_dump, glob_max_minutes, glob_max_iter, glob_max_hours,
glob_optimal_expect_sec, glob_log10normmin, glob_start, glob_warned,
glob_optimal_start, glob_hmax, djd_debug2, djd_debug, glob_html_log,
glob_max_sec, glob_display_flag, glob_log10abserr,
glob_optimal_clock_start_sec, glob_abserr, glob_reached_optimal_h,
glob_clock_start_sec, centuries_in_millinium, MAX_UNCHANGED,
glob_max_trunc_err, glob_relerr, glob_large_float, glob_hmin_init,
glob_not_yet_start_msg, glob_not_yet_finished, glob_almost_1,
glob_percent_done, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_warned2, glob_last_good_h, glob_clock_sec, glob_subiter_method,
glob_no_eqs, glob_log10_relerr, glob_h, glob_optimal_done,
glob_initial_pass, min_in_hour, glob_max_opt_iter, glob_look_poles,
array_const_5, array_const_2D0, array_const_1, array_const_0D0, array_norms,
array_type_pole, array_pole, array_x, array_m1, array_y2, array_y1,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y1_init,
array_last_rel_error, array_1st_rel_error, array_y2_init,
array_y2_set_initial, array_real_pole, array_y2_higher_work,
array_y1_higher, array_poles, array_y2_higher, array_complex_pole,
array_y2_higher_work2, array_y1_higher_work2, array_y1_set_initial,
array_y1_higher_work, glob_last;
n := glob_max_terms;
m := n - 2;
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 - 2;
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
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> glob_max_terms,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_max_rel_trunc_err,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_hmin,
> years_in_century,
> days_in_year,
> glob_smallish_float,
> glob_log10relerr,
> glob_current_iter,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_disp_incr,
> hours_in_day,
> sec_in_min,
> glob_dump,
> glob_max_minutes,
> glob_max_iter,
> glob_max_hours,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_start,
> glob_warned,
> glob_optimal_start,
> glob_hmax,
> djd_debug2,
> djd_debug,
> glob_html_log,
> glob_max_sec,
> glob_display_flag,
> glob_log10abserr,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_reached_optimal_h,
> glob_clock_start_sec,
> centuries_in_millinium,
> MAX_UNCHANGED,
> glob_max_trunc_err,
> glob_relerr,
> glob_large_float,
> glob_hmin_init,
> glob_not_yet_start_msg,
> glob_not_yet_finished,
> glob_almost_1,
> glob_percent_done,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned2,
> glob_last_good_h,
> glob_clock_sec,
> glob_subiter_method,
> glob_no_eqs,
> glob_log10_relerr,
> glob_h,
> glob_optimal_done,
> glob_initial_pass,
> min_in_hour,
> glob_max_opt_iter,
> glob_look_poles,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_2D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_norms,
> array_type_pole,
> array_pole,
> array_x,
> array_m1,
> array_y2,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y1_init,
> array_last_rel_error,
> array_1st_rel_error,
> array_y2_init,
> array_y2_set_initial,
> array_real_pole,
> array_y2_higher_work,
> array_y1_higher,
> array_poles,
> array_y2_higher,
> array_complex_pole,
> array_y2_higher_work2,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y1_higher_work,
> glob_last;
>
> local iii;
> if (not glob_initial_pass) then # if number 3
> set_z(array_norms,glob_max_terms+1);
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (abs(array_y2[iii]) > array_norms[iii]) then # if number 4
> array_norms[iii] := abs(array_y2[iii]);
> fi;# end if 4
> ;
> iii := iii + 1;
> od;# end do number 2
> ;
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (abs(array_y1[iii]) > array_norms[iii]) then # if number 4
> array_norms[iii] := abs(array_y1[iii]);
> fi;# end if 4
> ;
> iii := iii + 1;
> od;# end do number 2
> #GET NORMS
> ;
> fi;# end if 3
> ;
> # End Function number 7
> end;
get_norms := proc()
local iii;
global DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, glob_max_terms, ALWAYS,
glob_normmax, glob_iter, glob_max_rel_trunc_err, glob_log10_abserr,
glob_dump_analytic, glob_hmin, years_in_century, days_in_year,
glob_smallish_float, glob_log10relerr, glob_current_iter,
glob_unchanged_h_cnt, glob_small_float, glob_disp_incr, hours_in_day,
sec_in_min, glob_dump, glob_max_minutes, glob_max_iter, glob_max_hours,
glob_optimal_expect_sec, glob_log10normmin, glob_start, glob_warned,
glob_optimal_start, glob_hmax, djd_debug2, djd_debug, glob_html_log,
glob_max_sec, glob_display_flag, glob_log10abserr,
glob_optimal_clock_start_sec, glob_abserr, glob_reached_optimal_h,
glob_clock_start_sec, centuries_in_millinium, MAX_UNCHANGED,
glob_max_trunc_err, glob_relerr, glob_large_float, glob_hmin_init,
glob_not_yet_start_msg, glob_not_yet_finished, glob_almost_1,
glob_percent_done, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_warned2, glob_last_good_h, glob_clock_sec, glob_subiter_method,
glob_no_eqs, glob_log10_relerr, glob_h, glob_optimal_done,
glob_initial_pass, min_in_hour, glob_max_opt_iter, glob_look_poles,
array_const_5, array_const_2D0, array_const_1, array_const_0D0, array_norms,
array_type_pole, array_pole, array_x, array_m1, array_y2, array_y1,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y1_init,
array_last_rel_error, array_1st_rel_error, array_y2_init,
array_y2_set_initial, array_real_pole, array_y2_higher_work,
array_y1_higher, array_poles, array_y2_higher, array_complex_pole,
array_y2_higher_work2, array_y1_higher_work2, array_y1_set_initial,
array_y1_higher_work, glob_last;
if not glob_initial_pass then
set_z(array_norms, glob_max_terms + 1);
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < abs(array_y2[iii]) then
array_norms[iii] := abs(array_y2[iii])
end if;
iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < abs(array_y1[iii]) then
array_norms[iii] := abs(array_y1[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # Begin Function number 8
> atomall := proc()
> global
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> glob_max_terms,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_max_rel_trunc_err,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_hmin,
> years_in_century,
> days_in_year,
> glob_smallish_float,
> glob_log10relerr,
> glob_current_iter,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_disp_incr,
> hours_in_day,
> sec_in_min,
> glob_dump,
> glob_max_minutes,
> glob_max_iter,
> glob_max_hours,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_start,
> glob_warned,
> glob_optimal_start,
> glob_hmax,
> djd_debug2,
> djd_debug,
> glob_html_log,
> glob_max_sec,
> glob_display_flag,
> glob_log10abserr,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_reached_optimal_h,
> glob_clock_start_sec,
> centuries_in_millinium,
> MAX_UNCHANGED,
> glob_max_trunc_err,
> glob_relerr,
> glob_large_float,
> glob_hmin_init,
> glob_not_yet_start_msg,
> glob_not_yet_finished,
> glob_almost_1,
> glob_percent_done,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned2,
> glob_last_good_h,
> glob_clock_sec,
> glob_subiter_method,
> glob_no_eqs,
> glob_log10_relerr,
> glob_h,
> glob_optimal_done,
> glob_initial_pass,
> min_in_hour,
> glob_max_opt_iter,
> glob_look_poles,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_2D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_norms,
> array_type_pole,
> array_pole,
> array_x,
> array_m1,
> array_y2,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y1_init,
> array_last_rel_error,
> array_1st_rel_error,
> array_y2_init,
> array_y2_set_initial,
> array_real_pole,
> array_y2_higher_work,
> array_y1_higher,
> array_poles,
> array_y2_higher,
> array_complex_pole,
> array_y2_higher_work2,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y1_higher_work,
> glob_last;
>
> local kkk, order_d, adj2, temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre 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_2D0[1]));
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if not array_y2_set_initial[1,2] then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[1] * (glob_h ^ (1)) * factorial_3(0,1);
> array_y2[2] := temporary;
> array_y2_higher[1,2] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y2_higher[2,1] := 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[6,1];
> #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5
> if not array_y1_set_initial[2,2] then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[1] * (glob_h ^ (1)) * factorial_3(0,1);
> array_y1[2] := temporary;
> array_y1_higher[1,2] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y1_higher[2,1] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre add $eq_no = 1 i = 2
> array_tmp1[2] := array_const_0D0[2] + array_y1[2];
> #emit pre sub $eq_no = 1 i = 2
> array_tmp2[2] := (array_tmp1[2] - (array_const_2D0[2]));
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if not array_y2_set_initial[1,3] then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[2] * (glob_h ^ (1)) * factorial_3(1,2);
> array_y2[3] := temporary;
> array_y2_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y2_higher[2,2] := 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[6,2];
> #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5
> if not array_y1_set_initial[2,3] then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[2] * (glob_h ^ (1)) * factorial_3(1,2);
> array_y1[3] := temporary;
> array_y1_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y1_higher[2,2] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre add $eq_no = 1 i = 3
> array_tmp1[3] := array_const_0D0[3] + array_y1[3];
> #emit pre sub $eq_no = 1 i = 3
> array_tmp2[3] := (array_tmp1[3] - (array_const_2D0[3]));
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if not array_y2_set_initial[1,4] then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[3] * (glob_h ^ (1)) * factorial_3(2,3);
> array_y2[4] := temporary;
> array_y2_higher[1,4] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y2_higher[2,3] := 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[6,3];
> #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5
> if not array_y1_set_initial[2,4] then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[3] * (glob_h ^ (1)) * factorial_3(2,3);
> array_y1[4] := temporary;
> array_y1_higher[1,4] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y1_higher[2,3] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre add $eq_no = 1 i = 4
> array_tmp1[4] := array_const_0D0[4] + array_y1[4];
> #emit pre sub $eq_no = 1 i = 4
> array_tmp2[4] := (array_tmp1[4] - (array_const_2D0[4]));
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if not array_y2_set_initial[1,5] then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[4] * (glob_h ^ (1)) * factorial_3(3,4);
> array_y2[5] := temporary;
> array_y2_higher[1,5] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y2_higher[2,4] := 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[6,4];
> #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5
> if not array_y1_set_initial[2,5] then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[4] * (glob_h ^ (1)) * factorial_3(3,4);
> array_y1[5] := temporary;
> array_y1_higher[1,5] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y1_higher[2,4] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre add $eq_no = 1 i = 5
> array_tmp1[5] := array_const_0D0[5] + array_y1[5];
> #emit pre sub $eq_no = 1 i = 5
> array_tmp2[5] := (array_tmp1[5] - (array_const_2D0[5]));
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if not array_y2_set_initial[1,6] then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[5] * (glob_h ^ (1)) * factorial_3(4,5);
> array_y2[6] := temporary;
> array_y2_higher[1,6] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y2_higher[2,5] := 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[6,5];
> #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5
> if not array_y1_set_initial[2,6] then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[5] * (glob_h ^ (1)) * factorial_3(4,5);
> array_y1[6] := temporary;
> array_y1_higher[1,6] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y1_higher[2,5] := temporary
> ;
> fi;# end if 2
> ;
> fi;# end if 1
> ;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit add $eq_no = 1
> array_tmp1[kkk] := array_const_0D0[kkk] + array_y1[kkk];
> #emit sub $eq_no = 1
> array_tmp2[kkk] := (array_tmp1[kkk] - (array_const_2D0[kkk]));
> #emit assign $eq_no = 1
> order_d := 1;
> 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[6,kkk];
> #emit assign $eq_no = 2
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if not array_y1_set_initial[2,kkk + order_d] then # if number 2
> temporary := array_tmp4[kkk] * (glob_h ^ (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y1[kkk + order_d] := temporary;
> array_y1_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := 2;
> while (adj2 <= order_d + 1) and (term >= 1) do # do number 2
> temporary := temporary / glob_h * convfp(adj2);
> array_y1_higher[adj2,term] := temporary;
> adj2 := adj2 + 1;
> term := term - 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1
> ;
> kkk := kkk + 1;
> od;# end do number 1
> ;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> # End Function number 8
> end;
atomall := proc()
local kkk, order_d, adj2, temporary, term;
global DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, glob_max_terms, ALWAYS,
glob_normmax, glob_iter, glob_max_rel_trunc_err, glob_log10_abserr,
glob_dump_analytic, glob_hmin, years_in_century, days_in_year,
glob_smallish_float, glob_log10relerr, glob_current_iter,
glob_unchanged_h_cnt, glob_small_float, glob_disp_incr, hours_in_day,
sec_in_min, glob_dump, glob_max_minutes, glob_max_iter, glob_max_hours,
glob_optimal_expect_sec, glob_log10normmin, glob_start, glob_warned,
glob_optimal_start, glob_hmax, djd_debug2, djd_debug, glob_html_log,
glob_max_sec, glob_display_flag, glob_log10abserr,
glob_optimal_clock_start_sec, glob_abserr, glob_reached_optimal_h,
glob_clock_start_sec, centuries_in_millinium, MAX_UNCHANGED,
glob_max_trunc_err, glob_relerr, glob_large_float, glob_hmin_init,
glob_not_yet_start_msg, glob_not_yet_finished, glob_almost_1,
glob_percent_done, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_warned2, glob_last_good_h, glob_clock_sec, glob_subiter_method,
glob_no_eqs, glob_log10_relerr, glob_h, glob_optimal_done,
glob_initial_pass, min_in_hour, glob_max_opt_iter, glob_look_poles,
array_const_5, array_const_2D0, array_const_1, array_const_0D0, array_norms,
array_type_pole, array_pole, array_x, array_m1, array_y2, array_y1,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y1_init,
array_last_rel_error, array_1st_rel_error, array_y2_init,
array_y2_set_initial, array_real_pole, array_y2_higher_work,
array_y1_higher, array_poles, array_y2_higher, array_complex_pole,
array_y2_higher_work2, array_y1_higher_work2, array_y1_set_initial,
array_y1_higher_work, glob_last;
array_tmp1[1] := array_const_0D0[1] + array_y1[1];
array_tmp2[1] := array_tmp1[1] - array_const_2D0[1];
if not array_y2_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp2[1]*glob_h*factorial_3(0, 1);
array_y2[2] := temporary;
array_y2_higher[1, 2] := temporary;
temporary := temporary*2.0/glob_h;
array_y2_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp4[1] := array_y2_higher[6, 1];
if not array_y1_set_initial[2, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp4[1]*glob_h*factorial_3(0, 1);
array_y1[2] := temporary;
array_y1_higher[1, 2] := temporary;
temporary := temporary*2.0/glob_h;
array_y1_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_0D0[2] + array_y1[2];
array_tmp2[2] := array_tmp1[2] - array_const_2D0[2];
if not array_y2_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp2[2]*glob_h*factorial_3(1, 2);
array_y2[3] := temporary;
array_y2_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y2_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp4[2] := array_y2_higher[6, 2];
if not array_y1_set_initial[2, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp4[2]*glob_h*factorial_3(1, 2);
array_y1[3] := temporary;
array_y1_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y1_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := array_const_0D0[3] + array_y1[3];
array_tmp2[3] := array_tmp1[3] - array_const_2D0[3];
if not array_y2_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp2[3]*glob_h*factorial_3(2, 3);
array_y2[4] := temporary;
array_y2_higher[1, 4] := temporary;
temporary := temporary*2.0/glob_h;
array_y2_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp4[3] := array_y2_higher[6, 3];
if not array_y1_set_initial[2, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp4[3]*glob_h*factorial_3(2, 3);
array_y1[4] := temporary;
array_y1_higher[1, 4] := temporary;
temporary := temporary*2.0/glob_h;
array_y1_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := array_const_0D0[4] + array_y1[4];
array_tmp2[4] := array_tmp1[4] - array_const_2D0[4];
if not array_y2_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp2[4]*glob_h*factorial_3(3, 4);
array_y2[5] := temporary;
array_y2_higher[1, 5] := temporary;
temporary := temporary*2.0/glob_h;
array_y2_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp4[4] := array_y2_higher[6, 4];
if not array_y1_set_initial[2, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp4[4]*glob_h*factorial_3(3, 4);
array_y1[5] := temporary;
array_y1_higher[1, 5] := temporary;
temporary := temporary*2.0/glob_h;
array_y1_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := array_const_0D0[5] + array_y1[5];
array_tmp2[5] := array_tmp1[5] - array_const_2D0[5];
if not array_y2_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp2[5]*glob_h*factorial_3(4, 5);
array_y2[6] := temporary;
array_y2_higher[1, 6] := temporary;
temporary := temporary*2.0/glob_h;
array_y2_higher[2, 5] := temporary
end if
end if;
kkk := 6;
array_tmp4[5] := array_y2_higher[6, 5];
if not array_y1_set_initial[2, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp4[5]*glob_h*factorial_3(4, 5);
array_y1[6] := temporary;
array_y1_higher[1, 6] := temporary;
temporary := temporary*2.0/glob_h;
array_y1_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := array_const_0D0[kkk] + array_y1[kkk];
array_tmp2[kkk] := array_tmp1[kkk] - array_const_2D0[kkk];
order_d := 1;
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[6, kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y1_set_initial[2, kkk + order_d] then
temporary := array_tmp4[kkk]*glob_h^order_d/
factorial_3(kkk - 1, kkk + order_d - 1);
array_y1[kkk + order_d] := temporary;
array_y1_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := 2;
while adj2 <= order_d + 1 and 1 <= term do
temporary := temporary*convfp(adj2)/glob_h;
array_y1_higher[adj2, term] := temporary;
adj2 := adj2 + 1;
term := term - 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> #BEGIN ATS LIBRARY BLOCK
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s\n",str);
> fi;
> # End Function number 1
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> printf("%s",str);
> fi;
> # End Function number 1
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(label,str);
> fi;
> # End Function number 1
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> if vallen = 5 then
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;
> fi;
> # End Function number 1
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;
> # End Function number 1
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> dump_series := proc(iolevel,dump_label,series_name,
> array_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name
> ,i,array_series[i]);
> i := i + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series := proc(iolevel, dump_label, series_name, array_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, array_series[i]); i := i + 1
end do
end if
end proc
> dump_series_2 := proc(iolevel,dump_label,series_name2,
> array_series2,numb,subnum,array_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then
> sub := 1;
> while (sub <= subnum) do
> i := 1;
> while (i <= numb) do
> print(dump_label,series_name2,sub,i,array_series2[sub,i]);
> od;
> sub := sub + 1;
> od;
> fi;
> # End Function number 1
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, array_series2, numb, subnum, array_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
array_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;
> # End Function number 1
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # Begin Function number 2
> logitem_time := proc(fd,secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := (secs_in);
> if (secs > 0.0) then # if number 1
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
> fprintf(fd,"
");
> if (millinium_int > 0) then # if number 2
> fprintf(fd,"%d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 3
> fprintf(fd,"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 4
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif (days_int > 0) then # if number 5
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif (hours_int > 0) then # if number 6
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 7
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 7
> else
> fprintf(fd,"Unknown");
> fi;# end if 6
> fprintf(fd," | ");
> # End Function number 2
> end;
logitem_time := proc(fd, secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := secs_in;
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
fprintf(fd, "");
if 0 < millinium_int then fprintf(fd, "%d Millinia %d Centuries %\
d Years %d Days %d Hours %d Minutes %d Seconds", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then fprintf(fd,
"%d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds",
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, "Unknown")
end if;
fprintf(fd, " | ")
end proc
> omniout_timestr := proc (secs_in)
> global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour, sec_in_min, years_in_century;
> local cent_int, centuries, days, days_int, hours, hours_int, millinium_int, milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs, years, years_int;
> secs := convfloat(secs_in);
> if (secs > 0.0) then # if number 6
> sec_in_millinium := convfloat(sec_in_min * min_in_hour * hours_in_day * days_in_year * years_in_century * centuries_in_millinium);
> milliniums := convfloat(secs / sec_in_millinium);
> millinium_int := floor(milliniums);
> centuries := (milliniums - millinium_int)*centuries_in_millinium;
> cent_int := floor(centuries);
> years := (centuries - cent_int) * years_in_century;
> years_int := floor(years);
> days := (years - years_int) * days_in_year;
> days_int := floor(days);
> hours := (days - days_int) * hours_in_day;
> hours_int := floor(hours);
> minutes := (hours - hours_int) * min_in_hour;
> minutes_int := floor(minutes);
> seconds := (minutes - minutes_int) * sec_in_min;
> sec_int := floor(seconds);
>
> if (millinium_int > 0) then # if number 7
> printf(" = %d Millinia %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",millinium_int,cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (cent_int > 0) then # if number 8
> printf(" = %d Centuries %d Years %d Days %d Hours %d Minutes %d Seconds\n",cent_int,years_int,days_int,hours_int,minutes_int,sec_int);
> elif (years_int > 0) then # if number 9
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif (days_int > 0) then # if number 10
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif (hours_int > 0) then # if number 11
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif (minutes_int > 0) then # if number 12
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 12
> else
> printf(" Unknown\n");
> fi;# end if 11
> # End Function number 2
> end;
omniout_timestr := proc(secs_in)
local cent_int, centuries, days, days_int, hours, hours_int, millinium_int,
milliniums, minutes, minutes_int, sec_in_millinium, sec_int, seconds, secs,
years, years_int;
global centuries_in_millinium, days_in_year, hours_in_day, min_in_hour,
sec_in_min, years_in_century;
secs := convfloat(secs_in);
if 0. < secs then
sec_in_millinium := convfloat(sec_in_min*min_in_hour*hours_in_day*
days_in_year*years_in_century*centuries_in_millinium);
milliniums := convfloat(secs/sec_in_millinium);
millinium_int := floor(milliniums);
centuries := (milliniums - millinium_int)*centuries_in_millinium;
cent_int := floor(centuries);
years := (centuries - cent_int)*years_in_century;
years_int := floor(years);
days := (years - years_int)*days_in_year;
days_int := floor(days);
hours := (days - days_int)*hours_in_day;
hours_int := floor(hours);
minutes := (hours - hours_int)*min_in_hour;
minutes_int := floor(minutes);
seconds := (minutes - minutes_int)*sec_in_min;
sec_int := floor(seconds);
if 0 < millinium_int then printf(" = %d Millinia %d Centuries %d\
Years %d Days %d Hours %d Minutes %d Seconds\n", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < cent_int then printf(" = %d Centuries %d Years %d Days \
%d Hours %d Minutes %d Seconds\n", cent_int, years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
>
> # Begin Function number 3
> ats := proc(
> mmm_ats,array_a,array_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 11
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 11
> ;
> ret_ats
> # End Function number 3
> end;
ats := proc(mmm_ats, array_a, array_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + array_a[iii_ats]*array_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
>
> # Begin Function number 4
> att := proc(
> mmm_att,array_aa,array_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 11
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 12
> ret_att := ret_att + array_aa[iii_att]*array_bb[lll_att]* convfp(al_att);
> fi;# end if 12
> ;
> iii_att := iii_att + 1;
> od;# end do number 1
> ;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 11
> ;
> ret_att;
> # End Function number 4
> end;
att := proc(mmm_att, array_aa, array_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att := ret_att
+ array_aa[iii_att]*array_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # Begin Function number 5
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 11
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 11
> # End Function number 5
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # Begin Function number 6
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> # End Function number 6
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # Begin Function number 7
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> # End Function number 7
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # Begin Function number 8
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> # End Function number 8
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # Begin Function number 9
> log_revs := proc(file,revs)
> fprintf(file,revs);
> # End Function number 9
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # Begin Function number 10
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> # End Function number 10
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # Begin Function number 11
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if pole = 0 then # if number 11
> fprintf(file,"NA");
> elif pole = 1 then # if number 12
> fprintf(file,"Real");
> elif pole = 2 then # if number 13
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 13
> fprintf(file," | ");
> # End Function number 11
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # Begin Function number 12
> logstart := proc(file)
> fprintf(file,"");
> # End Function number 12
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # Begin Function number 13
> logend := proc(file)
> fprintf(file,"
\n");
> # End Function number 13
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # Begin Function number 14
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
>
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 13
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 13
> ;
> if (glob_max_iter < 2) then # if number 13
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 13
> ;
> if (errflag) then # if number 13
>
> quit;
> fi;# end if 13
> # End Function number 14
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
>
> # Begin Function number 15
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 13
> sec_left := 0.0;
> else
> if (abs(sub2) > 0.0) then # if number 14
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 14
> fi;# end if 13
> ;
> sec_left;
> # End Function number 15
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < abs(sub2) then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
>
> # Begin Function number 16
> comp_percent := proc(t_end2,t_start2,t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (abs(sub2) > glob_small_float) then # if number 13
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 13
> ;
> rrr
> # End Function number 16
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < abs(sub2) then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
>
> # Begin Function number 17
> factorial_1 := proc(nnn)
> nnn!;
>
> # End Function number 17
> end;
factorial_1 := proc(nnn) nnn! end proc
>
> # Begin Function number 18
> factorial_3 := proc(mmm2,nnn2)
> (mmm2!)/(nnn2!);
>
> # End Function number 18
> end;
factorial_3 := proc(mmm2, nnn2) mmm2!/nnn2! end proc
> # Begin Function number 19
> convfp := proc(mmm)
> (mmm);
>
> # End Function number 19
> end;
convfp := proc(mmm) mmm end proc
> # Begin Function number 20
> convfloat := proc(mmm)
> (mmm);
>
> # End Function number 20
> end;
convfloat := proc(mmm) mmm end proc
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
>
>
>
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y1 := proc(x)
> 2.0 + sin(x);
> end;
exact_soln_y1 := proc(x) 2.0 + sin(x) end proc
> exact_soln_y2 := proc(x)
> 2.0 - cos(x);
> end;
exact_soln_y2 := proc(x) 2.0 - cos(x) end proc
> exact_soln_y2p := proc(x)
> sin(x);
> end;
exact_soln_y2p := proc(x) sin(x) end proc
> exact_soln_y2pp := proc(x)
> cos(x);
> end;
exact_soln_y2pp := proc(x) cos(x) end proc
> exact_soln_y2ppp := proc(x)
> -sin(x);
> end;
exact_soln_y2ppp := proc(x) -sin(x) end proc
> exact_soln_y2pppp := proc(x)
> -cos(x);
> end;
exact_soln_y2pppp := 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
> DEBUGMASSIVE,
> DEBUGL,
> INFO,
> glob_iolevel,
> glob_max_terms,
> ALWAYS,
> #Top Generate Globals Decl
> glob_normmax,
> glob_iter,
> glob_max_rel_trunc_err,
> glob_log10_abserr,
> glob_dump_analytic,
> glob_hmin,
> years_in_century,
> days_in_year,
> glob_smallish_float,
> glob_log10relerr,
> glob_current_iter,
> glob_unchanged_h_cnt,
> glob_small_float,
> glob_disp_incr,
> hours_in_day,
> sec_in_min,
> glob_dump,
> glob_max_minutes,
> glob_max_iter,
> glob_max_hours,
> glob_optimal_expect_sec,
> glob_log10normmin,
> glob_start,
> glob_warned,
> glob_optimal_start,
> glob_hmax,
> djd_debug2,
> djd_debug,
> glob_html_log,
> glob_max_sec,
> glob_display_flag,
> glob_log10abserr,
> glob_optimal_clock_start_sec,
> glob_abserr,
> glob_reached_optimal_h,
> glob_clock_start_sec,
> centuries_in_millinium,
> MAX_UNCHANGED,
> glob_max_trunc_err,
> glob_relerr,
> glob_large_float,
> glob_hmin_init,
> glob_not_yet_start_msg,
> glob_not_yet_finished,
> glob_almost_1,
> glob_percent_done,
> glob_curr_iter_when_opt,
> glob_orig_start_sec,
> glob_warned2,
> glob_last_good_h,
> glob_clock_sec,
> glob_subiter_method,
> glob_no_eqs,
> glob_log10_relerr,
> glob_h,
> glob_optimal_done,
> glob_initial_pass,
> min_in_hour,
> glob_max_opt_iter,
> glob_look_poles,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_2D0,
> array_const_1,
> array_const_0D0,
> #END CONST
> array_norms,
> array_type_pole,
> array_pole,
> array_x,
> array_m1,
> array_y2,
> array_y1,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_y1_init,
> array_last_rel_error,
> array_1st_rel_error,
> array_y2_init,
> array_y2_set_initial,
> array_real_pole,
> array_y2_higher_work,
> array_y1_higher,
> array_poles,
> array_y2_higher,
> array_complex_pole,
> array_y2_higher_work2,
> array_y1_higher_work2,
> array_y1_set_initial,
> array_y1_higher_work,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> DEBUGMASSIVE := 4;
> DEBUGL := 3;
> INFO := 2;
> glob_iolevel := 5;
> glob_max_terms := 30;
> ALWAYS := 1;
> glob_normmax := 0.0;
> glob_iter := 0;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_log10_abserr := 0.1e-10;
> glob_dump_analytic := false;
> glob_hmin := 0.00000000001;
> years_in_century := 100.0;
> days_in_year := 365.0;
> glob_smallish_float := 0.1e-100;
> glob_log10relerr := 0.0;
> glob_current_iter := 0;
> glob_unchanged_h_cnt := 0;
> glob_small_float := 0.1e-50;
> glob_disp_incr := 0.1;
> hours_in_day := 24.0;
> sec_in_min := 60.0;
> glob_dump := false;
> glob_max_minutes := 0.0;
> glob_max_iter := 1000;
> glob_max_hours := 0.0;
> glob_optimal_expect_sec := 0.1;
> glob_log10normmin := 0.1;
> glob_start := 0;
> glob_warned := false;
> glob_optimal_start := 0.0;
> glob_hmax := 1.0;
> djd_debug2 := true;
> djd_debug := true;
> glob_html_log := true;
> glob_max_sec := 10000.0;
> glob_display_flag := true;
> glob_log10abserr := 0.0;
> glob_optimal_clock_start_sec := 0.0;
> glob_abserr := 0.1e-10;
> glob_reached_optimal_h := false;
> glob_clock_start_sec := 0.0;
> centuries_in_millinium := 10.0;
> MAX_UNCHANGED := 10;
> glob_max_trunc_err := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_large_float := 9.0e100;
> glob_hmin_init := 0.001;
> glob_not_yet_start_msg := true;
> glob_not_yet_finished := true;
> glob_almost_1 := 0.9990;
> glob_percent_done := 0.0;
> glob_curr_iter_when_opt := 0;
> glob_orig_start_sec := 0.0;
> glob_warned2 := false;
> glob_last_good_h := 0.1;
> glob_clock_sec := 0.0;
> glob_subiter_method := 3;
> glob_no_eqs := 0;
> glob_log10_relerr := 0.1e-10;
> glob_h := 0.1;
> glob_optimal_done := false;
> glob_initial_pass := true;
> min_in_hour := 60.0;
> glob_max_opt_iter := 10;
> glob_look_poles := false;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 2;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/mtest9_revpostode.ode#################");
> omniout_str(ALWAYS,"diff(y2,x,1) = y1 - 2.0;");
> omniout_str(ALWAYS,"diff(y1,x,1) = diff(y2,x,5);");
> 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 := 0.5;");
> omniout_str(ALWAYS,"x_end := 10.0;");
> omniout_str(ALWAYS,"array_y1_init[0 + 1] := exact_soln_y1(x_start);");
> omniout_str(ALWAYS,"array_y2_init[0 + 1] := exact_soln_y2(x_start);");
> omniout_str(ALWAYS,"array_y2_init[1 + 1] := exact_soln_y2p(x_start);");
> omniout_str(ALWAYS,"array_y2_init[2 + 1] := exact_soln_y2pp(x_start);");
> omniout_str(ALWAYS,"array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);");
> omniout_str(ALWAYS,"array_y2_init[4 + 1] := exact_soln_y2pppp(x_start);");
> omniout_str(ALWAYS,"glob_h := 0.00001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 10;");
> omniout_str(ALWAYS,"glob_subiter_method := 3;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_h := 0.0001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000;");
> omniout_str(ALWAYS,"glob_max_minutes := 15;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y1 := proc(x)");
> omniout_str(ALWAYS,"2.0 + sin(x);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_y2 := proc(x)");
> omniout_str(ALWAYS,"2.0 - cos(x);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_y2p := proc(x)");
> omniout_str(ALWAYS,"sin(x);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_y2pp := proc(x)");
> omniout_str(ALWAYS,"cos(x);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_y2ppp := proc(x)");
> omniout_str(ALWAYS,"-sin(x);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_y2pppp := proc(x)");
> omniout_str(ALWAYS,"-cos(x);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits := 32;
> max_terms := 30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_norms:= Array(1..(max_terms + 1),[]);
> array_type_pole:= 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_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_y1_init:= Array(1..(max_terms + 1),[]);
> array_last_rel_error:= Array(1..(max_terms + 1),[]);
> array_1st_rel_error:= Array(1..(max_terms + 1),[]);
> array_y2_init:= Array(1..(max_terms + 1),[]);
> array_y2_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]);
> array_real_pole := Array(1..(2+ 1) ,(1..3+ 1),[]);
> array_y2_higher_work := Array(1..(6+ 1) ,(1..max_terms+ 1),[]);
> array_y1_higher := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_poles := Array(1..(2+ 1) ,(1..3+ 1),[]);
> array_y2_higher := Array(1..(6+ 1) ,(1..max_terms+ 1),[]);
> array_complex_pole := Array(1..(2+ 1) ,(1..3+ 1),[]);
> array_y2_higher_work2 := Array(1..(6+ 1) ,(1..max_terms+ 1),[]);
> array_y1_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_y1_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]);
> array_y1_higher_work := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> term := 1;
> while term <= max_terms do # do number 2
> array_norms[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_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_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_y1_init[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_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_y2_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=3 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y2_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=6 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y2_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y1_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= 3 do # do number 3
> array_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 <=6 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y2_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=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 <=6 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y2_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= 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 <=3 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y1_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y1_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_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_5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_5[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_5[1] := 5;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_2D0[1] := 2.0;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while term <= max_terms + 1 do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> array_const_1[1] := 1;
> array_const_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 := 0.5;
> x_end := 10.0;
> array_y1_init[0 + 1] := exact_soln_y1(x_start);
> array_y2_init[0 + 1] := exact_soln_y2(x_start);
> array_y2_init[1 + 1] := exact_soln_y2p(x_start);
> array_y2_init[2 + 1] := exact_soln_y2pp(x_start);
> array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);
> array_y2_init[4 + 1] := exact_soln_y2pppp(x_start);
> glob_h := 0.00001 ;
> glob_look_poles := true;
> glob_max_iter := 10;
> glob_subiter_method := 3;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_h := 0.0001 ;
> glob_look_poles := true;
> glob_max_iter := 1000;
> glob_max_minutes := 15;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := 10.0 ^ (glob_log10_abserr);
> glob_relerr := 10.0 ^ (glob_log10_relerr);
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y2_set_initial[1,1] := true;
> array_y2_set_initial[1,2] := true;
> array_y2_set_initial[1,3] := true;
> array_y2_set_initial[1,4] := true;
> array_y2_set_initial[1,5] := true;
> array_y2_set_initial[1,6] := false;
> array_y2_set_initial[1,7] := false;
> array_y2_set_initial[1,8] := false;
> array_y2_set_initial[1,9] := false;
> array_y2_set_initial[1,10] := false;
> array_y2_set_initial[1,11] := false;
> array_y2_set_initial[1,12] := false;
> array_y2_set_initial[1,13] := false;
> array_y2_set_initial[1,14] := false;
> array_y2_set_initial[1,15] := false;
> array_y2_set_initial[1,16] := false;
> array_y2_set_initial[1,17] := false;
> array_y2_set_initial[1,18] := false;
> array_y2_set_initial[1,19] := false;
> array_y2_set_initial[1,20] := false;
> array_y2_set_initial[1,21] := false;
> array_y2_set_initial[1,22] := false;
> array_y2_set_initial[1,23] := false;
> array_y2_set_initial[1,24] := false;
> array_y2_set_initial[1,25] := false;
> array_y2_set_initial[1,26] := false;
> array_y2_set_initial[1,27] := false;
> array_y2_set_initial[1,28] := false;
> array_y2_set_initial[1,29] := false;
> array_y2_set_initial[1,30] := false;
> array_y1_set_initial[2,1] := true;
> array_y1_set_initial[2,2] := false;
> array_y1_set_initial[2,3] := false;
> array_y1_set_initial[2,4] := false;
> array_y1_set_initial[2,5] := false;
> array_y1_set_initial[2,6] := false;
> array_y1_set_initial[2,7] := false;
> array_y1_set_initial[2,8] := false;
> array_y1_set_initial[2,9] := false;
> array_y1_set_initial[2,10] := false;
> array_y1_set_initial[2,11] := false;
> array_y1_set_initial[2,12] := false;
> array_y1_set_initial[2,13] := false;
> array_y1_set_initial[2,14] := false;
> array_y1_set_initial[2,15] := false;
> array_y1_set_initial[2,16] := false;
> array_y1_set_initial[2,17] := false;
> array_y1_set_initial[2,18] := false;
> array_y1_set_initial[2,19] := false;
> array_y1_set_initial[2,20] := false;
> array_y1_set_initial[2,21] := false;
> array_y1_set_initial[2,22] := false;
> array_y1_set_initial[2,23] := false;
> array_y1_set_initial[2,24] := false;
> array_y1_set_initial[2,25] := false;
> array_y1_set_initial[2,26] := false;
> array_y1_set_initial[2,27] := false;
> array_y1_set_initial[2,28] := false;
> array_y1_set_initial[2,29] := false;
> array_y1_set_initial[2,30] := false;
> if glob_html_log then # if number 3
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 3
> ;
> #BEGIN SOLUTION CODE
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> order_diff := 5;
> #Start Series array_y2
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y2[term_no] := array_y2_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2
> ;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y2_higher[r_order,term_no] := array_y2_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3
> ;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> order_diff := 1;
> #Start Series array_y1
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y1[term_no] := array_y1_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2
> ;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y1_higher[r_order,term_no] := array_y1_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3
> ;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> start_array_y2();
> if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 3
> tmp := abs(array_y2_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3
> ;
> display_alot(current_iter)
> ;
> start_array_y1();
> if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 3
> tmp := abs(array_y1_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3
> ;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> if glob_subiter_method = 1 then # if number 3
> atomall();
> elif glob_subiter_method = 2 then # if number 4
> subiter := 1;
> while subiter <= 2 do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3
> ;
> else
> subiter := 1;
> while subiter <= 2 + glob_max_terms do # do number 3
> atomall();
> subiter := subiter + 1;
> od;# end do number 3
> ;
> fi;# end if 4
> ;
> if (glob_look_poles) then # if number 4
> #left paren 0004C
> check_for_pole();
> fi;# end if 4
> ;#was right paren 0004C
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y2
> order_diff := 5;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y2
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 6;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[6,iii] := array_y2_higher[6,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 6;
> calc_term := 1;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 5;
> calc_term := 2;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[5,iii] := array_y2_higher[5,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 5;
> calc_term := 2;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 5;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[5,iii] := array_y2_higher[5,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 5;
> calc_term := 1;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 4;
> calc_term := 3;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[4,iii] := array_y2_higher[4,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 4;
> calc_term := 3;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 4;
> calc_term := 2;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[4,iii] := array_y2_higher[4,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 4;
> calc_term := 2;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 4;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[4,iii] := array_y2_higher[4,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 4;
> calc_term := 1;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 3;
> calc_term := 4;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 3;
> calc_term := 4;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 3;
> calc_term := 3;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 3;
> calc_term := 3;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 3;
> calc_term := 2;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 3;
> calc_term := 2;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 3;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[3,iii] := array_y2_higher[3,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 3;
> calc_term := 1;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 5;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 5;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 4;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 4;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 3;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 3;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 2;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 2;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[2,iii] := array_y2_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 6;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 6;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 5;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 5;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 4;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 4;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 3;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 3;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y2_higher_work[1,iii] := array_y2_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y2
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y2_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y2_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y2[term_no] := array_y2_higher_work2[1,term_no];
> ord := 1;
> while ord <= order_diff do # do number 4
> array_y2_higher[ord,term_no] := array_y2_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4
> ;
> term_no := term_no - 1;
> od;# end do number 3
> ;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> #Jump Series array_y1
> order_diff := 1;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =2
> #sum_and_adjust array_y1
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y1_higher_work[2,iii] := array_y1_higher[2,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y1_higher_work[1,iii] := array_y1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =2
> #BEFORE ADJUST SUBSERIES EQ =2
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y1_higher_work[1,iii] := array_y1_higher[1,iii] / (glob_h ^ (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3
> ;
> #AFTER ADJUST SUBSERIES EQ =2
> #BEFORE SUM SUBSERIES EQ =2
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y1
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y1_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3
> ;
> array_y1_higher_work2[ord,calc_term] := temp_sum * (glob_h ^ (calc_term - 1)) / (convfp(calc_term - 1)!);
> #AFTER SUM SUBSERIES EQ =2
> #END SUM AND ADJUST EQ =2
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y1[term_no] := array_y1_higher_work2[1,term_no];
> ord := 1;
> while ord <= order_diff do # do number 4
> array_y1_higher[ord,term_no] := array_y1_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4
> ;
> term_no := term_no - 1;
> od;# end do number 3
> ;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> display_alot(current_iter)
> ;
> od;# end do number 2
> ;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 4
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!")
> fi;# end if 4
> ;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 4
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!")
> fi;# end if 4
> ;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff(y2,x,1) = y1 - 2.0;");
> omniout_str(INFO,"diff(y1,x,1) = diff(y2,x,5);");
> 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,"2012-06-13T17:32:39-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"mtest9_rev")
> ;
> logitem_str(html_log_file,"diff(y2,x,1) = y1 - 2.0;")
> ;
> 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,"mtest9_rev diffeq.mxt")
> ;
> logitem_str(html_log_file,"mtest9_rev 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) = diff(y2,x,5);")
> ;
> 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 DEBUGMASSIVE, DEBUGL, INFO, glob_iolevel, glob_max_terms, ALWAYS,
glob_normmax, glob_iter, glob_max_rel_trunc_err, glob_log10_abserr,
glob_dump_analytic, glob_hmin, years_in_century, days_in_year,
glob_smallish_float, glob_log10relerr, glob_current_iter,
glob_unchanged_h_cnt, glob_small_float, glob_disp_incr, hours_in_day,
sec_in_min, glob_dump, glob_max_minutes, glob_max_iter, glob_max_hours,
glob_optimal_expect_sec, glob_log10normmin, glob_start, glob_warned,
glob_optimal_start, glob_hmax, djd_debug2, djd_debug, glob_html_log,
glob_max_sec, glob_display_flag, glob_log10abserr,
glob_optimal_clock_start_sec, glob_abserr, glob_reached_optimal_h,
glob_clock_start_sec, centuries_in_millinium, MAX_UNCHANGED,
glob_max_trunc_err, glob_relerr, glob_large_float, glob_hmin_init,
glob_not_yet_start_msg, glob_not_yet_finished, glob_almost_1,
glob_percent_done, glob_curr_iter_when_opt, glob_orig_start_sec,
glob_warned2, glob_last_good_h, glob_clock_sec, glob_subiter_method,
glob_no_eqs, glob_log10_relerr, glob_h, glob_optimal_done,
glob_initial_pass, min_in_hour, glob_max_opt_iter, glob_look_poles,
array_const_5, array_const_2D0, array_const_1, array_const_0D0, array_norms,
array_type_pole, array_pole, array_x, array_m1, array_y2, array_y1,
array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_y1_init,
array_last_rel_error, array_1st_rel_error, array_y2_init,
array_y2_set_initial, array_real_pole, array_y2_higher_work,
array_y1_higher, array_poles, array_y2_higher, array_complex_pole,
array_y2_higher_work2, array_y1_higher_work2, array_y1_set_initial,
array_y1_higher_work, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
DEBUGMASSIVE := 4;
DEBUGL := 3;
INFO := 2;
glob_iolevel := 5;
glob_max_terms := 30;
ALWAYS := 1;
glob_normmax := 0.;
glob_iter := 0;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_log10_abserr := 0.1*10^(-10);
glob_dump_analytic := false;
glob_hmin := 0.1*10^(-10);
years_in_century := 100.0;
days_in_year := 365.0;
glob_smallish_float := 0.1*10^(-100);
glob_log10relerr := 0.;
glob_current_iter := 0;
glob_unchanged_h_cnt := 0;
glob_small_float := 0.1*10^(-50);
glob_disp_incr := 0.1;
hours_in_day := 24.0;
sec_in_min := 60.0;
glob_dump := false;
glob_max_minutes := 0.;
glob_max_iter := 1000;
glob_max_hours := 0.;
glob_optimal_expect_sec := 0.1;
glob_log10normmin := 0.1;
glob_start := 0;
glob_warned := false;
glob_optimal_start := 0.;
glob_hmax := 1.0;
djd_debug2 := true;
djd_debug := true;
glob_html_log := true;
glob_max_sec := 10000.0;
glob_display_flag := true;
glob_log10abserr := 0.;
glob_optimal_clock_start_sec := 0.;
glob_abserr := 0.1*10^(-10);
glob_reached_optimal_h := false;
glob_clock_start_sec := 0.;
centuries_in_millinium := 10.0;
MAX_UNCHANGED := 10;
glob_max_trunc_err := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_large_float := 0.90*10^101;
glob_hmin_init := 0.001;
glob_not_yet_start_msg := true;
glob_not_yet_finished := true;
glob_almost_1 := 0.9990;
glob_percent_done := 0.;
glob_curr_iter_when_opt := 0;
glob_orig_start_sec := 0.;
glob_warned2 := false;
glob_last_good_h := 0.1;
glob_clock_sec := 0.;
glob_subiter_method := 3;
glob_no_eqs := 0;
glob_log10_relerr := 0.1*10^(-10);
glob_h := 0.1;
glob_optimal_done := false;
glob_initial_pass := true;
min_in_hour := 60.0;
glob_max_opt_iter := 10;
glob_look_poles := false;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 2;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/mtest9_revpostode.ode#################");
omniout_str(ALWAYS, "diff(y2,x,1) = y1 - 2.0;");
omniout_str(ALWAYS, "diff(y1,x,1) = diff(y2,x,5);");
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 := 0.5;");
omniout_str(ALWAYS, "x_end := 10.0;");
omniout_str(ALWAYS, "array_y1_init[0 + 1] := exact_soln_y1(x_start);");
omniout_str(ALWAYS, "array_y2_init[0 + 1] := exact_soln_y2(x_start);");
omniout_str(ALWAYS, "array_y2_init[1 + 1] := exact_soln_y2p(x_start);")
;
omniout_str(ALWAYS, "array_y2_init[2 + 1] := exact_soln_y2pp(x_start);")
;
omniout_str(ALWAYS,
"array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);");
omniout_str(ALWAYS,
"array_y2_init[4 + 1] := exact_soln_y2pppp(x_start);");
omniout_str(ALWAYS, "glob_h := 0.00001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 10;");
omniout_str(ALWAYS, "glob_subiter_method := 3;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_h := 0.0001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000;");
omniout_str(ALWAYS, "glob_max_minutes := 15;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y1 := proc(x)");
omniout_str(ALWAYS, "2.0 + sin(x);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_y2 := proc(x)");
omniout_str(ALWAYS, "2.0 - cos(x);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_y2p := proc(x)");
omniout_str(ALWAYS, "sin(x);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_y2pp := proc(x)");
omniout_str(ALWAYS, "cos(x);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_y2ppp := proc(x)");
omniout_str(ALWAYS, "-sin(x);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_y2pppp := proc(x)");
omniout_str(ALWAYS, "-cos(x);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_norms := Array(1 .. max_terms + 1, []);
array_type_pole := 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_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_y1_init := Array(1 .. max_terms + 1, []);
array_last_rel_error := Array(1 .. max_terms + 1, []);
array_1st_rel_error := Array(1 .. max_terms + 1, []);
array_y2_init := Array(1 .. max_terms + 1, []);
array_y2_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []);
array_real_pole := Array(1 .. 3, 1 .. 4, []);
array_y2_higher_work := Array(1 .. 7, 1 .. max_terms + 1, []);
array_y1_higher := Array(1 .. 3, 1 .. max_terms + 1, []);
array_poles := Array(1 .. 3, 1 .. 4, []);
array_y2_higher := Array(1 .. 7, 1 .. max_terms + 1, []);
array_complex_pole := Array(1 .. 3, 1 .. 4, []);
array_y2_higher_work2 := Array(1 .. 7, 1 .. max_terms + 1, []);
array_y1_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []);
array_y1_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []);
array_y1_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_norms[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_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_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_y1_init[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_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y2_init[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_y2_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 6 do
term := 1;
while term <= max_terms do
array_y2_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y1_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 6 do
term := 1;
while term <= max_terms do
array_y2_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 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 <= 6 do
term := 1;
while term <= max_terms do
array_y2_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y1_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 3 do
term := 1;
while term <= max_terms do
array_y1_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y1_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_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_5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_5[term] := 0.; term := term + 1
end do;
array_const_5[1] := 5;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_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 := 0.5;
x_end := 10.0;
array_y1_init[1] := exact_soln_y1(x_start);
array_y2_init[1] := exact_soln_y2(x_start);
array_y2_init[2] := exact_soln_y2p(x_start);
array_y2_init[3] := exact_soln_y2pp(x_start);
array_y2_init[4] := exact_soln_y2ppp(x_start);
array_y2_init[5] := exact_soln_y2pppp(x_start);
glob_h := 0.00001;
glob_look_poles := true;
glob_max_iter := 10;
glob_subiter_method := 3;
glob_h := 0.0001;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := 10.0^glob_log10_abserr;
glob_relerr := 10.0^glob_log10_relerr;
chk_data();
array_y2_set_initial[1, 1] := true;
array_y2_set_initial[1, 2] := true;
array_y2_set_initial[1, 3] := true;
array_y2_set_initial[1, 4] := true;
array_y2_set_initial[1, 5] := true;
array_y2_set_initial[1, 6] := false;
array_y2_set_initial[1, 7] := false;
array_y2_set_initial[1, 8] := false;
array_y2_set_initial[1, 9] := false;
array_y2_set_initial[1, 10] := false;
array_y2_set_initial[1, 11] := false;
array_y2_set_initial[1, 12] := false;
array_y2_set_initial[1, 13] := false;
array_y2_set_initial[1, 14] := false;
array_y2_set_initial[1, 15] := false;
array_y2_set_initial[1, 16] := false;
array_y2_set_initial[1, 17] := false;
array_y2_set_initial[1, 18] := false;
array_y2_set_initial[1, 19] := false;
array_y2_set_initial[1, 20] := false;
array_y2_set_initial[1, 21] := false;
array_y2_set_initial[1, 22] := false;
array_y2_set_initial[1, 23] := false;
array_y2_set_initial[1, 24] := false;
array_y2_set_initial[1, 25] := false;
array_y2_set_initial[1, 26] := false;
array_y2_set_initial[1, 27] := false;
array_y2_set_initial[1, 28] := false;
array_y2_set_initial[1, 29] := false;
array_y2_set_initial[1, 30] := false;
array_y1_set_initial[2, 1] := true;
array_y1_set_initial[2, 2] := false;
array_y1_set_initial[2, 3] := false;
array_y1_set_initial[2, 4] := false;
array_y1_set_initial[2, 5] := false;
array_y1_set_initial[2, 6] := false;
array_y1_set_initial[2, 7] := false;
array_y1_set_initial[2, 8] := false;
array_y1_set_initial[2, 9] := false;
array_y1_set_initial[2, 10] := false;
array_y1_set_initial[2, 11] := false;
array_y1_set_initial[2, 12] := false;
array_y1_set_initial[2, 13] := false;
array_y1_set_initial[2, 14] := false;
array_y1_set_initial[2, 15] := false;
array_y1_set_initial[2, 16] := false;
array_y1_set_initial[2, 17] := false;
array_y1_set_initial[2, 18] := false;
array_y1_set_initial[2, 19] := false;
array_y1_set_initial[2, 20] := false;
array_y1_set_initial[2, 21] := false;
array_y1_set_initial[2, 22] := false;
array_y1_set_initial[2, 23] := false;
array_y1_set_initial[2, 24] := false;
array_y1_set_initial[2, 25] := false;
array_y1_set_initial[2, 26] := false;
array_y1_set_initial[2, 27] := false;
array_y1_set_initial[2, 28] := false;
array_y1_set_initial[2, 29] := false;
array_y1_set_initial[2, 30] := false;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
order_diff := 5;
term_no := 1;
while term_no <= order_diff do
array_y2[term_no] := array_y2_init[term_no]*glob_h^(term_no - 1)/
factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y2_higher[r_order, term_no] := array_y2_init[it]*
glob_h^(term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y1[term_no] := array_y1_init[term_no]*glob_h^(term_no - 1)/
factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y1_higher[r_order, term_no] := array_y1_init[it]*
glob_h^(term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
start_array_y2();
if glob_small_float < abs(array_y2_higher[1, 1]) then
tmp := abs(array_y2_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
start_array_y1();
if glob_small_float < abs(array_y1_higher[1, 1]) then
tmp := abs(array_y1_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and array_x[1] <= x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop");
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
if glob_subiter_method = 1 then atomall()
elif glob_subiter_method = 2 then
subiter := 1;
while subiter <= 2 do atomall(); subiter := subiter + 1 end do
else
subiter := 1;
while subiter <= 2 + glob_max_terms do
atomall(); subiter := subiter + 1
end do
end if;
if glob_look_poles then check_for_pole() end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 5;
ord := 6;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[6, iii] := array_y2_higher[6, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 6;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 5;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[5, iii] := array_y2_higher[5, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 5;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 5;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[5, iii] := array_y2_higher[5, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 5;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 4;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 4;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 4;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 4;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 4;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 4;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 3;
calc_term := 4;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 4;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 3;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 3;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 2;
calc_term := 5;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 5;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 2;
calc_term := 4;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 4;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 2;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 2;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[2, iii] := array_y2_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 6;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 6;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 5;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 5;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 4;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 4;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y2_higher_work[1, iii] := array_y2_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y2_higher_work[ord, iii];
iii := iii - 1
end do;
array_y2_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
term_no := glob_max_terms;
while 1 <= term_no do
array_y2[term_no] := array_y2_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y2_higher[ord, term_no] :=
array_y2_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
order_diff := 1;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y1_higher_work[2, iii] := array_y1_higher[2, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y1_higher_work[ord, iii];
iii := iii - 1
end do;
array_y1_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y1_higher_work[1, iii] := array_y1_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y1_higher_work[ord, iii];
iii := iii - 1
end do;
array_y1_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y1_higher_work[1, iii] := array_y1_higher[1, iii]/(
glob_h^(calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y1_higher_work[ord, iii];
iii := iii - 1
end do;
array_y1_higher_work2[ord, calc_term] :=
temp_sum*glob_h^(calc_term - 1)/convfp(calc_term - 1)!;
term_no := glob_max_terms;
while 1 <= term_no do
array_y1[term_no] := array_y1_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y1_higher[ord, term_no] :=
array_y1_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
display_alot(current_iter)
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff(y2,x,1) = y1 - 2.0;");
omniout_str(INFO, "diff(y1,x,1) = diff(y2,x,5);");
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, "2012-06-13T17:32:39-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"mtest9_rev");
logitem_str(html_log_file, "diff(y2,x,1) = y1 - 2.0;");
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, "mtest9_rev diffeq.mxt");
logitem_str(html_log_file, "mtest9_rev 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) = diff(y2,x,5);");
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/mtest9_revpostode.ode#################
diff(y2,x,1) = y1 - 2.0;
diff(y1,x,1) = diff(y2,x,5);
!
#BEGIN FIRST INPUT BLOCK
Digits := 32;
max_terms := 30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.5;
x_end := 10.0;
array_y1_init[0 + 1] := exact_soln_y1(x_start);
array_y2_init[0 + 1] := exact_soln_y2(x_start);
array_y2_init[1 + 1] := exact_soln_y2p(x_start);
array_y2_init[2 + 1] := exact_soln_y2pp(x_start);
array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);
array_y2_init[4 + 1] := exact_soln_y2pppp(x_start);
glob_h := 0.00001 ;
glob_look_poles := true;
glob_max_iter := 10;
glob_subiter_method := 3;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_h := 0.0001 ;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y1 := proc(x)
2.0 + sin(x);
end;
exact_soln_y2 := proc(x)
2.0 - cos(x);
end;
exact_soln_y2p := proc(x)
sin(x);
end;
exact_soln_y2pp := proc(x)
cos(x);
end;
exact_soln_y2ppp := proc(x)
-sin(x);
end;
exact_soln_y2pppp := proc(x)
-cos(x);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
x[1] = 0.5
y2[1] (analytic) = 1.1224174381096272838837184173962
y2[1] (numeric) = 1.1224174381096272838837184173962
absolute error = 0
relative error = 0 %
h = 0.0001
y1[1] (analytic) = 2.4794255386042030002732879352156
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0
relative error = 0 %
h = 0.0001
x[1] = 0.5
y2[1] (analytic) = 1.1224174381096272838837184173962
y2[1] (numeric) = 1.1224174381096272838837184173962
absolute error = 0
relative error = 0 %
h = 0.0001
y1[1] (analytic) = 2.4794255386042030002732879352156
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0
relative error = 0 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5001
y2[1] (analytic) = 1.1224653850513206057226212384082
y2[1] (numeric) = 1.1224653850513206057225812850612
absolute error = 3.99533470e-23
relative error = 3.5594279816631744060018373993147e-21 %
h = 0.0001
y1[1] (analytic) = 2.4795132944631180827612490419532
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 8.77558589150824879611067376e-05
relative error = 0.0035392372814070356873465959087753 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5002
y2[1] (analytic) = 1.122513340768360069735529546726
y2[1] (numeric) = 1.122513340768360069734251000617
absolute error = 1.2785461090e-21
relative error = 1.1390030412688329777726287466527e-19 %
h = 0.0001
y1[1] (analytic) = 2.4796010455269002246139734402722
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0001755069226972243406855050566
relative error = 0.0070780306781137923396978378563839 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.9MB, time=0.42
NO POLE
NO POLE
x[1] = 0.5003
y2[1] (analytic) = 1.1225613052602661187524483331957
y2[1] (numeric) = 1.1225613052602661187427390775074
absolute error = 9.7092556883e-21
relative error = 8.6491986164166834930999012427343e-19 %
h = 0.0001
y1[1] (analytic) = 2.4796887917946719151943709705102
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0002632531904689149210830352946
relative error = 0.010616380222390154323420137410111 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5004
y2[1] (analytic) = 1.122609278526559107854716811747
y2[1] (numeric) = 1.122609278526559107813800840139
absolute error = 4.09159716080e-20
relative error = 3.6447205978648959407660893371546e-18 %
h = 0.0001
y1[1] (analytic) = 2.479776533265555691825455945761
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0003509946613526915521680105454
relative error = 0.014154285946503230345708760152732 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5005
y2[1] (analytic) = 1.1226572605667593043798048685764
y2[1] (numeric) = 1.122657260566759304254935423881
absolute error = 1.248694446954e-19
relative error = 1.1122668429753996493912495105327e-17 %
h = 0.0001
y1[1] (analytic) = 2.4798642699386741397991217786374
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0004387313344711395258338434218
relative error = 0.017691747882717353010916621593082 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5006
y2[1] (analytic) = 1.1227052513803868879261103887678
y2[1] (numeric) = 1.1227052513803868876153857750655
absolute error = 3.107246137023e-19
relative error = 2.7676419373674286810216521185989e-17 %
h = 0.0001
y1[1] (analytic) = 2.4799520018131498923849151283452
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0005264632089468921116271931296
relative error = 0.021228766063294078377159362912004 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=3.9MB, time=0.95
NO POLE
NO POLE
x[1] = 0.5007
y2[1] (analytic) = 1.1227532509669619503577574603049
y2[1] (numeric) = 1.1227532509669619496861386509872
absolute error = 6.716188093177e-19
relative error = 5.9818914684885023123308063921464e-17 %
h = 0.0001
y1[1] (analytic) = 2.4800397288881056308388095679803
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0006141902839026305655216327647
relative error = 0.024765340520492185513196598099757 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5008
y2[1] (analytic) = 1.1228012593260044958093954554259
y2[1] (numeric) = 1.1228012593260044944999246199035
absolute error = 1.3094708355224e-18
relative error = 1.1662534439162007869017965741049e-16 %
h = 0.0001
y1[1] (analytic) = 2.4801274511626640844119787719614
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0007019125584610841386908367458
relative error = 0.02830147128656767605558922409793 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5009
y2[1] (analytic) = 1.122849276457034440690998989273
y2[1] (numeric) = 1.1228492764570344383312180610346
absolute error = 2.3597809282384e-18
relative error = 2.1016007915900335475301034839687e-16 %
h = 0.0001
y1[1] (analytic) = 2.4802151686359480303595692235113
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0007896300317450300862812882957
relative error = 0.031837158393773773766132685611939 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.501
y2[1] (analytic) = 1.1228973023595716136926687557886
y2[1] (numeric) = 1.1228973023595716096962371645635
absolute error = 3.9964315912251e-18
relative error = 3.5590357041799818917528935659069e-16 %
h = 0.0001
y1[1] (analytic) = 2.4803028813070802939494724420977
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0008773427028772936761845068821
relative error = 0.035372401874360924089566086208289 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=11.4MB, alloc=3.9MB, time=1.48
x[1] = 0.5011
y2[1] (analytic) = 1.1229453370331357557894332408103
y2[1] (numeric) = 1.1229453370331357493529439316358
absolute error = 6.4364893091745e-18
relative error = 5.7317921869464717621046234700062e-16 %
h = 0.0001
y1[1] (analytic) = 2.4803905891751837484710967307476
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.000965050570980748197808795532
relative error = 0.038907201760576793711557037472634 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5012
y2[1] (analytic) = 1.1229933804772465202460513123167
y2[1] (numeric) = 1.1229933804772465103010441743599
absolute error = 9.9450071379568e-18
relative error = 8.8558021007482691157362098073858e-16 %
h = 0.0001
y1[1] (analytic) = 2.4804782922393813152441384431453
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0010527536351783149708505079297
relative error = 0.04244155808466627011696213787216 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5013
y2[1] (analytic) = 1.1230414326914234726218156877758
y2[1] (numeric) = 1.1230414326914234577819875158068
absolute error = 1.48398281719690e-17
relative error = 1.3213963207398883990633889562694e-15 %
h = 0.0001
y1[1] (analytic) = 2.4805659904987959636273527704284
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0011404518945929633540648352128
relative error = 0.045975470878871461148362973176003 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5014
y2[1] (analytic) = 1.123089493675186090775357278548
y2[1] (numeric) = 1.1230894936751860692789673900104
absolute error = 2.14963898885376e-17
relative error = 1.9140406895084596337380334996386e-15 %
h = 0.0001
y1[1] (analytic) = 2.4806536839525507110273240475931
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0012281453483477107540361123775
relative error = 0.049508940175431694564877530195195 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5015
y2[1] (analytic) = 1.1231375634280537648694504112957
y2[1] (numeric) = 1.1231375634280537345169210419673
absolute error = 3.03525293693284e-17
relative error = 2.7024765583198954362990474455866e-15 %
h = 0.0001
y1[1] (analytic) = 2.4807413725997686229072355794206
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.001315833995565622633947644205
relative error = 0.05304196600658351760124691565663 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=3.9MB, time=2.02
NO POLE
NO POLE
x[1] = 0.5016
y2[1] (analytic) = 1.1231856419495457973758189263517
y2[1] (numeric) = 1.1231856419495457554625295276368
absolute error = 4.19132893987149e-17
relative error = 3.7316439805947654034543240004214e-15 %
h = 0.0001
y1[1] (analytic) = 2.4808290564395728127956389858385
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0014035178353698125223510506229
relative error = 0.056574548404560696527197272142876 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5017
y2[1] (analytic) = 1.123233729239181403079943152998
y2[1] (numeric) = 1.1232337292391813463242177139408
absolute error = 5.67557254390572e-17
relative error = 5.0528864974078458410914509585353e-15 %
h = 0.0001
y1[1] (analytic) = 2.4809167354710864422952230666275
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0014911968668834420219351314119
relative error = 0.060106687401594216207076782917388 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5018
y2[1] (analytic) = 1.1232818252964797090858677616068
y2[1] (numeric) = 1.1232818252964796335521542787641
absolute error = 7.55337134828427e-17
relative error = 6.7243777814090675165908313209214e-15 %
h = 0.0001
y1[1] (analytic) = 2.4810044096934327210915821853874
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0015788710892297208182942501718
relative error = 0.063638383029912279659767657636522 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5019
y2[1] (analytic) = 1.1233299301209597548210104925963
y2[1] (numeric) = 1.1233299301209596558382517109542
absolute error = 9.89827587816421e-17
relative error = 8.8115482484281063216010204630400e-15 %
h = 0.0001
y1[1] (analytic) = 2.4810920791057349069619841726739
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0016665405015319066886962374583
relative error = 0.067169635321740307618872990881736 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=3.9MB, time=2.54
NO POLE
NO POLE
x[1] = 0.502
y2[1] (analytic) = 1.1233780437121404920409717621522
y2[1] (numeric) = 1.1233780437121403641161663103213
absolute error = 1.279248054518309e-16
relative error = 1.1387511636698049527321551304247e-14 %
h = 0.0001
y1[1] (analytic) = 2.4811797437071163057841377482187
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0017542051029133055108498130031
relative error = 0.070700444309300938093178385518425 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5021
y2[1] (analytic) = 1.1234261660695407848343451446679
y2[1] (numeric) = 1.1234261660695406215612981876383
absolute error = 1.632730469570296e-16
relative error = 1.4533491553633876808755916091875e-14 %
h = 0.0001
y1[1] (analytic) = 2.4812674034967002715449594621449
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0018418648924972712716715269293
relative error = 0.074230810024814025927388232900411 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5022
y2[1] (analytic) = 1.1234742971926794096275287318546
y2[1] (numeric) = 1.1234742971926792035907912646409
absolute error = 2.060367374672137e-16
relative error = 1.8339247990101347662833473303597e-14 %
h = 0.0001
y1[1] (analytic) = 2.4813550584736102063493401550904
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0019295198694072060760522198748
relative error = 0.077760732500496642363136542000036 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5023
y2[1] (analytic) = 1.1235224370810750551895373684732
y2[1] (numeric) = 1.1235224370810747978635332740275
absolute error = 2.573260040944457e-16
relative error = 2.2903503802112024190229846458462e-14 %
h = 0.0001
y1[1] (analytic) = 2.4814427086369695604289109371521
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0020171700327665601556230019365
relative error = 0.081290211768563074600272209580537 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=3.9MB, time=3.08
NO POLE
NO POLE
x[1] = 0.5024
y2[1] (analytic) = 1.12357058573424632263681576464
y2[1] (numeric) = 1.1235705857342460042801557594592
absolute error = 3.183566600051808e-16
relative error = 2.8334371159880153120626016900052e-14 %
h = 0.0001
y1[1] (analytic) = 2.4815303539859018321508086855622
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0021048153816988318775207503466
relative error = 0.084819247861224825358418623499678 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5025
y2[1] (analytic) = 1.1236187431517117254380524846586
y2[1] (numeric) = 1.1236187431517113349830340755598
absolute error = 3.904550184090988e-16
relative error = 3.4749777964177241591693042711944e-14 %
h = 0.0001
y1[1] (analytic) = 2.4816179945195305680264410610091
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0021924559153275677531531257935
relative error = 0.088347840810690612438807491314677 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5026
y2[1] (analytic) = 1.1236669093329896894189948123286
y2[1] (numeric) = 1.1236669093329892143562873879159
absolute error = 4.750627074244127e-16
relative error = 4.2277894229920022616853460099026e-14 %
h = 0.0001
y1[1] (analytic) = 2.4817056302369793627202510425165
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0022800916327763624469631073009
relative error = 0.091875990649166368286386786435399 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5027
y2[1] (analytic) = 1.1237150842775985527672644926845
y2[1] (numeric) = 1.1237150842775979790257786730768
absolute error = 5.737414858196077e-16
relative error = 5.1057558436927830426879629990958e-14 %
h = 0.0001
y1[1] (analytic) = 2.4817932611373718590584809807915
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0023677225331688587851930455759
relative error = 0.095403697408855239552202703992763 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=3.9MB, time=3.60
NO POLE
NO POLE
x[1] = 0.5028
y2[1] (analytic) = 1.1237632679850565660371743501153
y2[1] (numeric) = 1.1237632679850558778591147185545
absolute error = 6.881780596315608e-16
relative error = 6.1238703847785133805350909704015e-14 %
h = 0.0001
y1[1] (analytic) = 2.4818808872198317480379361699548
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0024553486156287477646482347392
relative error = 0.098930961121957586656055518714595 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5029
y2[1] (analytic) = 1.123811460454881892154545782817
y2[1] (numeric) = 1.1238114604548810719656461228238
absolute error = 8.201888996599932e-16
relative error = 7.2982784792745193004855153482851e-14 %
h = 0.0001
y1[1] (analytic) = 2.4819685084834827688347479375655
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0025429698792797685614600023499
relative error = 0.10245778182067098334942923710964 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.503
y2[1] (analytic) = 1.1238596616865926064215271335312
y2[1] (numeric) = 1.1238596616865916346964672953222
absolute error = 9.717250598382090e-16
relative error = 8.6463202921610960949418515093497e-14 %
h = 0.0001
y1[1] (analytic) = 2.4820561249274487088131362528522
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0026305863232457085398483176366
relative error = 0.10598415953719021627869493626097 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5031
y2[1] (analytic) = 1.1239078716797066965214129365188
y2[1] (numeric) = 1.1239078716797055516444164564499
absolute error = 1.1448769964800689e-15
relative error = 1.0186573342252896175921696720981e-13 %
h = 0.0001
y1[1] (analytic) = 2.4821437365508534035341718530639
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0027181979466504032608839178483
relative error = 0.10951009430370728454858768163501 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=30.5MB, alloc=3.9MB, time=4.13
x[1] = 0.5032
y2[1] (analytic) = 1.1239560904337420625234640407234
y2[1] (numeric) = 1.1239560904337407206440756375698
absolute error = 1.3418793884031536e-15
relative error = 1.1938895120763245302642408999210e-13 %
h = 0.0001
y1[1] (analytic) = 2.4822313433528207367645378878518
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0028058047486177364912499526362
relative error = 0.11303558615241139928595691624867 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5033
y2[1] (analytic) = 1.1240043179482165168877286090746
y2[1] (numeric) = 1.1240043179482149517717706810076
absolute error = 1.5651159579280670e-15
relative error = 1.3924465706546980840657569167657e-13 %
h = 0.0001
y1[1] (analytic) = 2.4823189453324746404852910815948
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0028934067282716402120031463792
relative error = 0.11656063511548898320379021363783 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5034
y2[1] (analytic) = 1.1240525542226477844698639938838
y2[1] (numeric) = 1.1240525542226459673455712400517
absolute error = 1.8171242927538321e-15
relative error = 1.6165830378015434572126989312331e-13 %
h = 0.0001
y1[1] (analytic) = 2.4824065424889390949006224135825
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0029810038847360946273344783669
relative error = 0.12008524122512367016551028714358 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5035
y2[1] (analytic) = 1.1241007992565535025259594882828
y2[1] (numeric) = 1.1241007992565514019252907789532
absolute error = 2.1006006687093296e-15
relative error = 1.8686942221717160723696120595262e-13 %
h = 0.0001
y1[1] (analytic) = 2.4824941348213381284466173159652
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0030685962171351281733293807496
relative error = 0.12360940451349630474954514789207 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5036
y2[1] (analytic) = 1.1241490530494512207173599536599
y2[1] (numeric) = 1.124149053049448802312486572926
absolute error = 2.4184048733807339e-15
relative error = 2.1513204737578055642577029106497e-13 %
h = 0.0001
y1[1] (analytic) = 2.4825817223287958178000153893858
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0031561837245928175267274541702
relative error = 0.12713312501278494181417130409372 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=3.9MB, time=4.65
NO POLE
NO POLE
x[1] = 0.5037
y2[1] (analytic) = 1.1241973156008584011154903230418
y2[1] (numeric) = 1.1241973156008556275504597081467
absolute error = 2.7735650306148951e-15
relative error = 2.4671514440794465231405135742305e-13 %
h = 0.0001
y1[1] (analytic) = 2.4826693050104362878869696362058
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0032437664062332876136817009902
relative error = 0.13065640275516484606262989421157 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5038
y2[1] (analytic) = 1.1242455869102924182066809803753
y2[1] (numeric) = 1.1242455869102892489242550817546
absolute error = 3.1692824258986207e-15
relative error = 2.8190303460372925576313503835395e-13 %
h = 0.0001
y1[1] (analytic) = 2.4827568828653837118918052112356
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.00333134426118071161851727602
relative error = 0.13417923777280849160851564650062 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5039
y2[1] (analytic) = 1.1242938669772705588969940156605
y2[1] (numeric) = 1.1242938669772669499606614018517
absolute error = 3.6089363326138088e-15
relative error = 3.2099582134310169248261945844324e-13 %
h = 0.0001
y1[1] (analytic) = 2.4828444558927623112657776898846
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.003418917288559310992489754669
relative error = 0.1377016300978855615414385576659 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.504
y2[1] (analytic) = 1.1243421558013100225170503558855
y2[1] (numeric) = 1.1243421558013059264282111875028
absolute error = 4.0960888391683827e-15
relative error = 3.6430981601407016810339461234989e-13 %
h = 0.0001
y1[1] (analytic) = 2.4829320240916963557358308536409
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0035064854874933554625429184253
relative error = 0.14122357976256294749295818319025 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.0MB, time=5.17
NO POLE
NO POLE
x[1] = 0.5041
y2[1] (analytic) = 1.1243904533819279208268577717167
y2[1] (numeric) = 1.1243904533819232863371807687354
absolute error = 4.6344896770029813e-15
relative error = 4.1217796389709817043255671342151e-13 %
h = 0.0001
y1[1] (analytic) = 2.4830195874613101633133539927949
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0035940488571071630400660575793
relative error = 0.14474508679900474920279043209641 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5042
y2[1] (analytic) = 1.1244387597186412780206397598942
y2[1] (numeric) = 1.1244387597186360499395902865397
absolute error = 5.2280810494733545e-15
relative error = 4.6495027001573057100556050862084e-13 %
h = 0.0001
y1[1] (analytic) = 2.4831071460007281003029387263179
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0036816073965251000296507911023
relative error = 0.14826615123937227408528675881179 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5043
y2[1] (analytic) = 1.1244870748109670307316653012861
y2[1] (numeric) = 1.1244870748109611497292036928686
absolute error = 5.8810024616084175e-15
relative error = 5.2299422495336809562984666182024e-13 %
h = 0.0001
y1[1] (analytic) = 2.483194699709074581311135338809
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0037691611048715810378474035934
relative error = 0.1517867731158240367961856449255 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5044
y2[1] (analytic) = 1.1245353986584220280370794945515
y2[1] (numeric) = 1.1245353986584154304415287506379
absolute error = 6.5975955507439136e-15
relative error = 5.8669523063612649070641305265234e-13 %
h = 0.0001
y1[1] (analytic) = 2.4832822485854740692552086344221
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0038567099812710689819206992065
relative error = 0.15530695246051575879963626359932 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.0MB, time=5.72
NO POLE
NO POLE
x[1] = 0.5045
y2[1] (analytic) = 1.1245837312605230314627350653647
y2[1] (numeric) = 1.124583731260515649053817033726
absolute error = 7.3824089180316387e-15
relative error = 6.5645702608171707184351871962644e-13 %
h = 0.0001
y1[1] (analytic) = 2.4833697926290510753718933076862
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0039442540248480750986053724706
relative error = 0.15882668930560036793549421948315 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5046
y2[1] (analytic) = 1.1246320726167867149880247511533
y2[1] (numeric) = 1.124632072616778474785063926974
absolute error = 8.2402029608241793e-15
relative error = 7.3270211311428525629620837216456e-13 %
h = 0.0001
y1[1] (analytic) = 2.4834573318389301592261488311309
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0040317932347271589528608959153
relative error = 0.1623459836832279979868892569658 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5047
y2[1] (analytic) = 1.1246804227267296650507145612998
y2[1] (numeric) = 1.1246804227267204890960086261857
absolute error = 9.1759547059351141e-15
relative error = 8.1587218204514356916416315044141e-13 %
h = 0.0001
y1[1] (analytic) = 2.4835448662142359287199138596289
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0041193276100329284466259244133
relative error = 0.16586483562554598824806482962048 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5048
y2[1] (analytic) = 1.12472878158986838055177791276
y2[1] (numeric) = 1.1247287815898581856891341381278
absolute error = 1.01948626437746322e-14
relative error = 9.0642853731933591073057686542243e-13 %
h = 0.0001
y1[1] (analytic) = 2.4836323957540930401008601513698
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0042068571498900398275722161542
relative error = 0.16938324516469888309248942383736 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.0MB, time=6.27
NO POLE
NO POLE
x[1] = 0.5049
y2[1] (analytic) = 1.1247771492057192728602306410493
y2[1] (numeric) = 1.1247771492057079705086672805296
absolute error = 1.13023515633605197e-14
relative error = 1.0048525231279698051639080362516e-12 %
h = 0.0001
y1[1] (analytic) = 2.4837199204576261979711460053762
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0042943818534231976978580701606
relative error = 0.17290121233282843154123952953543 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.505
y2[1] (analytic) = 1.1248255255737986658179668865485
y2[1] (numeric) = 1.1248255255737861617405786820832
absolute error = 1.25040773882044653e-14
relative error = 1.1116459489862532836901440217852e-12 %
h = 0.0001
y1[1] (analytic) = 2.4838074403239601552961692154743
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0043819017197571550228812802587
relative error = 0.17641873716207358683165415092659 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5051
y2[1] (analytic) = 1.1248739106936227957445958560807
y2[1] (numeric) = 1.1248739106936089898125827824433
absolute error = 1.38059320130736374e-14
relative error = 1.2273315152771732638620767021862e-12 %
h = 0.0001
y1[1] (analytic) = 2.4838949553522197134133195406332
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0044694167480167131400316054176
relative error = 0.17993581968457050598626075041799 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5052
y2[1] (analytic) = 1.1249223045647078114422794597113
y2[1] (numeric) = 1.1249223045646925973941378322274
absolute error = 1.52140481416274839e-14
relative error = 1.3524532387607522105467943310908e-12 %
h = 0.0001
y1[1] (analytic) = 2.4839824655415297220407306915832
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0045569269373267217674427563676
relative error = 0.1834524599324525493819725186141 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=49.5MB, alloc=4.0MB, time=6.82
x[1] = 0.5053
y2[1] (analytic) = 1.1249707071865697742005708227225
y2[1] (numeric) = 1.1249707071865530393964458930158
absolute error = 1.67348041249297067e-14
relative error = 1.4875768780488199749688607474205e-12 %
h = 0.0001
y1[1] (analytic) = 2.4840699708910150792860318336276
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.004644432286812079012743898412
relative error = 0.18696865793785028031955686358144 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5054
y2[1] (analytic) = 1.1250191185587246578012536727134
y2[1] (numeric) = 1.1250191185587062829724528373515
absolute error = 1.83748288008353619e-14
relative error = 1.6332903590452376588433787333975e-12 %
h = 0.0001
y1[1] (analytic) = 2.4841574713998007316550986055588
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0047319327955977313818106703432
relative error = 0.1904844137328914645933750124228 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5055
y2[1] (analytic) = 1.1250675386806883485231826017783
y2[1] (numeric) = 1.1250675386806682075168483487401
absolute error = 2.01410063342530382e-14
relative error = 1.7902042003515105235784214681932e-12 %
h = 0.0001
y1[1] (analytic) = 2.4842449670670116740608036545925
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0048194284628086737875157193769
relative error = 0.1939997273497010700613926183604 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5056
y2[1] (analytic) = 1.1251159675519766451471242037142
y2[1] (numeric) = 1.1251159675519546046660659216501
absolute error = 2.20404810582820641e-14
relative error = 1.9589519386377268352341251832706e-12 %
h = 0.0001
y1[1] (analytic) = 2.4843324578917729498317666872315
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0049069192875699495584787520159
relative error = 0.19751459882040126621546126646809 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5057
y2[1] (analytic) = 1.1251644051721052589605990862088
y2[1] (numeric) = 1.1251644051720811782982828615126
absolute error = 2.40806623162246962e-14
relative error = 2.1401905539787597266574190464716e-12 %
h = 0.0001
y1[1] (analytic) = 2.4844199438732096507211040359722
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0049944052690066504478161007566
relative error = 0.20102902817711142375187077128874 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.0MB, time=7.38
NO POLE
NO POLE
x[1] = 0.5058
y2[1] (analytic) = 1.1252128515405898137627247579617
y2[1] (numeric) = 1.1252128515405635445334202847215
absolute error = 2.62692293044732402e-14
relative error = 2.3346008951556691355967337004784e-12 %
h = 0.0001
y1[1] (analytic) = 2.4845074250104469169151777417664
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0050818864062439166418898065508
relative error = 0.20454301545194811414217215958604 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5059
y2[1] (analytic) = 1.125261306656945845869059390689
y2[1] (numeric) = 1.1252613066569172317331431186334
absolute error = 2.86141359162720556e-14
relative error = 2.5428881049222408639024943325617e-12 %
h = 0.0001
y1[1] (analytic) = 2.4845949013026099370423441521499
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0051693626984069367690562169343
relative error = 0.20805656067702510920427123146752 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.506
y2[1] (analytic) = 1.1253097705206888041164464559634
y2[1] (numeric) = 1.1253097705206576805008601015676
absolute error = 3.11236155863543958e-14
relative error = 2.7657820452365999047702352938993e-12 %
h = 0.0001
y1[1] (analytic) = 2.4846823727488239481817020349524
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0052568341446209479084140997368
relative error = 0.2115696638844533806737925932691 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5061
y2[1] (analytic) = 1.125358243131334049867860236842
y2[1] (numeric) = 1.1253582431313002436817237828062
absolute error = 3.38061861364540358e-14
relative error = 3.0040377224578352690431124989298e-12 %
h = 0.0001
y1[1] (analytic) = 2.4847698393482142358718402074983
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0053443007440112355985522722827
relative error = 0.21508232510634109977571405542669 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.0MB, time=7.92
NO POLE
NO POLE
x[1] = 0.5062
y2[1] (analytic) = 1.1254067244883968570172522142328
y2[1] (numeric) = 1.1254067244883601863626305225941
absolute error = 3.66706546216916387e-14
relative error = 3.2584357125075734923532679076673e-12 %
h = 0.0001
y1[1] (analytic) = 2.4848573010999061341195846812144
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0054317624957031338462967459988
relative error = 0.21859454437479363679627128885001 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5063
y2[1] (analytic) = 1.1254552145913924119943983279504
y2[1] (numeric) = 1.1254552145913526858722204921387
absolute error = 3.97261221778358117e-14
relative error = 3.5297825859964380001101863411506e-12 %
h = 0.0001
y1[1] (analytic) = 2.4849447580030250254087453215537
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0055192193988220251354573863381
relative error = 0.22210632172191356065513263307314 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5064
y2[1] (analytic) = 1.1255037134398358137697471124149
y2[1] (numeric) = 1.1255037134397928317808776736103
absolute error = 4.29819888694388046e-14
relative error = 3.8189113333153317513726772595572e-12 %
h = 0.0001
y1[1] (analytic) = 2.4850322100566963407088620231503
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0056066714524933404355740879347
relative error = 0.22561765717980063847784394972158 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5065
y2[1] (analytic) = 1.1255522210332420738592687069431
y2[1] (numeric) = 1.1255522210331956259007298601418
absolute error = 4.64479585388468013e-14
relative error = 4.1266817896914804001380728790430e-12 %
h = 0.0001
y1[1] (analytic) = 2.4851196572600455594839504001169
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0056941186558425592106624649013
relative error = 0.22912855078055183516854341472728 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.0MB, time=8.45
NO POLE
NO POLE
x[1] = 0.5066
y2[1] (analytic) = 1.1256007373711261163293047405846
y2[1] (numeric) = 1.125600737371075982285648655829
absolute error = 5.01340436560847556e-14
relative error = 4.4539810602091733233471490516041e-12 %
h = 0.0001
y1[1] (analytic) = 2.4852070996121982097012469913967
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0057815610079952094279590561811
relative error = 0.23263900255626131298294614276802 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5067
y2[1] (analytic) = 1.1256492624530027778014190914547
y2[1] (numeric) = 1.1256492624529487272312494757303
absolute error = 5.40505701696157244e-14
relative error = 4.8017239447951400644832596296155e-12 %
h = 0.0001
y1[1] (analytic) = 2.4852945371122798678399539810846
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.005868998508076867566666045869
relative error = 0.23614901253902043110159853756371 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5068
y2[1] (analytic) = 1.1256977962783868074572495205144
y2[1] (numeric) = 1.1256977962783285992748915458669
absolute error = 5.82081823579746475e-14
relative error = 5.1708533631684994348145102154945e-12 %
h = 0.0001
y1[1] (analytic) = 2.4853819697594161588999834336272
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0059564311552131586266954984116
relative error = 0.23965858076091774520340226147838 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5069
y2[1] (analytic) = 1.1257463388467928670433601797501
y2[1] (numeric) = 1.1257463388467302491956779032226
absolute error = 6.26178476822765275e-14
relative error = 5.5623407797552189360431910220380e-12 %
h = 0.0001
y1[1] (analytic) = 2.4854693975527327564107010438169
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0060438589485297561374131086013
relative error = 0.2431677072540390070394077181413 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.0MB, time=8.99
NO POLE
NO POLE
x[1] = 0.507
y2[1] (analytic) = 1.1257948901577355308760949947039
y2[1] (numeric) = 1.1257948901576682400144553957441
absolute error = 6.72908616395989598e-14
relative error = 5.9771866285670218968550162568950e-12 %
h = 0.0001
y1[1] (analytic) = 2.4855568204913553824396694014904
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0061312818871523821663814662748
relative error = 0.24667639205046716400687694163286 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5071
y2[1] (analytic) = 1.1258434502107292858464319213063
y2[1] (numeric) = 1.1258434502106570469938146823407
absolute error = 7.22388526172389656e-14
relative error = 6.4164207380446800131773284727611e-12 %
h = 0.0001
y1[1] (analytic) = 2.4856442385744098076013907708465
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0062186999702068073281028356309
relative error = 0.25018463518228235872361578599722 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5072
y2[1] (analytic) = 1.125892019005288531424838076962
y2[1] (numeric) = 1.1258920190052110576380902328845
absolute error = 7.74737867478440775e-14
relative error = 6.8811027558656287285024841520392e-12 %
h = 0.0001
y1[1] (analytic) = 2.4857316518010218510660493842931
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0063061131968188507927614490775
relative error = 0.25369243668156192860257530867599 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5073
y2[1] (analytic) = 1.1259405965409275796661257458414
y2[1] (numeric) = 1.1259405965408445716933603282104
absolute error = 8.30079727654176310e-14
relative error = 7.3723225737158432590008025600716e-12 %
h = 0.0001
y1[1] (analytic) = 2.4858190601703173805682532507384
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0063935215661143802949653155228
relative error = 0.25719979658038040542672224169378 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=68.6MB, alloc=4.0MB, time=9.54
x[1] = 0.5074
y2[1] (analytic) = 1.1259891828171606552143092583286
y2[1] (numeric) = 1.1259891828170718011474470601158
absolute error = 8.88540668621982128e-14
relative error = 7.8912007520259128946470242922356e-12 %
h = 0.0001
y1[1] (analytic) = 2.4859064636814223124157754782377
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0064809250772193121424875430221
relative error = 0.2607067149108095149241784443146 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5075
y2[1] (analytic) = 1.1260377778335018953074627445769
y2[1] (numeric) = 1.126037777833406870229916331361
absolute error = 9.50250775464132159e-14
relative error = 8.4388889446712511673818542269546e-12 %
h = 0.0001
y1[1] (analytic) = 2.485993862333462611498295110908
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0065683237292596112250071756924
relative error = 0.26421319170491817634362923095228 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5076
y2[1] (analytic) = 1.126086381589465349782578762124
y2[1] (numeric) = 1.126086381589363815412077855669
absolute error = 1.015343705009064550e-13
relative error = 9.0165703236363798278974674618470e-12 %
h = 0.0001
y1[1] (analytic) = 2.4860812561255642912961374800242
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0066557175213612910228495448086
relative error = 0.2677192269947725020300004682148 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5077
y2[1] (analytic) = 1.1261349940845649810804277975184
y2[1] (numeric) = 1.1261349940844565854069851577255
absolute error = 1.083956734426397929e-13
relative error = 9.6254600036432243636516425070035e-12 %
h = 0.0001
y1[1] (analytic) = 2.4861686450568534138890140692085
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0067431064526504136157261339929
relative error = 0.27122482081243579700040433490639 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5078
y2[1] (analytic) = 1.1261836153183146642504186419074
y2[1] (numeric) = 1.126183615318199041169435573179
absolute error = 1.156230809830687284e-13
relative error = 1.0266805466743358812700560453097e-11 %
h = 0.0001
y1[1] (analytic) = 2.486256029126456089964761893626
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0068304905222530896914739584104
relative error = 0.2747299731899685585203536388995 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.0MB, time=10.11
NO POLE
NO POLE
x[1] = 0.5079
y2[1] (analytic) = 1.1262322452902281869554596405387
y2[1] (numeric) = 1.1262322452901049558959702486407
absolute error = 1.232310594893918980e-13
relative error = 1.0941886986874137827520629868585e-11 %
h = 0.0001
y1[1] (analytic) = 2.486343408333498478828082393099
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0069178697292954785547944578834
relative error = 0.2782346841594284756802445848015 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.508
y2[1] (analytic) = 1.1262808839998192494768208161278
y2[1] (numeric) = 1.1262808839996880150248741416844
absolute error = 1.312344519466744434e-13
relative error = 1.1652018054378653956058284869067e-11 %
h = 0.0001
y1[1] (analytic) = 2.4864307826771067884092798390526
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.007005244072903788135991903837
relative error = 0.28173895375287042897210788637658 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5081
y2[1] (analytic) = 1.1263295314466014647189968660408
y2[1] (numeric) = 1.1263295314464618162361760208468
absolute error = 1.396484828208451940e-13
relative error = 1.2398545800489457898370455326369e-11 %
h = 0.0001
y1[1] (analytic) = 2.4865181521564072752729992552048
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0070926135522042749997113199892
relative error = 0.28524278200234648986662811774034 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5082
y2[1] (analytic) = 1.1263781876300883582145710332457
y2[1] (numeric) = 1.1263781876299398694516484656273
absolute error = 1.484887629225676184e-13
relative error = 1.3182851421775979963172483994906e-11 %
h = 0.0001
y1[1] (analytic) = 2.4866055167705262446269638519124
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0071799781663232443536759166968
relative error = 0.28874616893990592039043119730001 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.0MB, time=10.68
NO POLE
NO POLE
x[1] = 0.5083
y2[1] (analytic) = 1.1264268525497933681290798509824
y2[1] (numeric) = 1.1264268525496355968348078664879
absolute error = 1.577712942719844945e-13
relative error = 1.4006350604555590597661469857467e-11 %
h = 0.0001
y1[1] (analytic) = 2.4866928765185900503307119740863
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0072673379143870500574240388707
relative error = 0.2922491145975951727036398985382 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5084
y2[1] (analytic) = 1.1264755262052298452658787611032
y2[1] (numeric) = 1.1264755262050623327909144248535
absolute error = 1.675124749643362497e-13
relative error = 1.4870493949268238072457237858129e-11 %
h = 0.0001
y1[1] (analytic) = 2.4867802313997250949043335625894
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0073546927955220946310456273738
relative error = 0.29575161900745788867769728175415 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5085
y2[1] (analytic) = 1.1265242085959110530710086060352
y2[1] (numeric) = 1.1265242085957333239669721531116
absolute error = 1.777291040364529236e-13
relative error = 1.5776767394814601523147807762084e-11 %
h = 0.0001
y1[1] (analytic) = 2.4868675814130578295372061290281
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0074420428088548292639181938125
relative error = 0.29925368220153489947345794082024 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5086
y2[1] (analytic) = 1.126572899721350167638062994316
y2[1] (numeric) = 1.1265728997211617292517288746125
absolute error = 1.884383863341197035e-13
relative error = 1.6726692642857697403250106967312e-11 %
h = 0.0001
y1[1] (analytic) = 2.4869549265577147540967302438511
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0075293879535117538234423086355
relative error = 0.30275530421186422511954695915242 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.0MB, time=11.25
NO POLE
NO POLE
x[1] = 0.5087
y2[1] (analytic) = 1.1266215995810602777130565396536
y2[1] (numeric) = 1.1266215995808606197756762236692
absolute error = 1.996579373803159844e-13
relative error = 1.7721827582087877567460973709140e-11 %
h = 0.0001
y1[1] (analytic) = 2.4870422668328224171370645376684
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0076167282286194168637766024528
relative error = 0.3062564850704810740909864690931 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5088
y2[1] (analytic) = 1.1266703081745543846992939734623
y2[1] (numeric) = 1.1266703081743429789110496455574
absolute error = 2.114057882443279049e-13
relative error = 1.8763766712451157217206964985886e-11 %
h = 0.0001
y1[1] (analytic) = 2.4871296022375074159078602157024
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0077040636333044156345722804868
relative error = 0.30975722480941784288808970889725 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5089
y2[1] (analytic) = 1.1267190255013454026622401308252
y2[1] (numeric) = 1.1267190255011217022718283965156
absolute error = 2.237003904117343096e-13
relative error = 1.9854141569340810909273242252550e-11 %
h = 0.0001
y1[1] (analytic) = 2.4872169327708963963629950852839
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0077913941666933960897071500683
relative error = 0.31325752346070411561562247158066 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.509
y2[1] (analytic) = 1.126767751560946158334390809836
y2[1] (numeric) = 1.1267677515607095977137355437449
absolute error = 2.365606206552660911e-13
relative error = 2.0994621147752175089968880977799e-11 %
h = 0.0001
y1[1] (analytic) = 2.4873042584321160531693070963062
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0078787198279130528960191610906
relative error = 0.31675738105636666356223183993781 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.0MB, time=11.80
NO POLE
NO POLE
x[1] = 0.5091
y2[1] (analytic) = 1.1268164863528693911201445042698
y2[1] (numeric) = 1.1268164863526193853342379654093
absolute error = 2.500057859065388605e-13
relative error = 2.2186912326400595284285708557927e-11 %
h = 0.0001
y1[1] (analytic) = 2.4873915792202931297153273945494
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0079660406160901294420394593338
relative error = 0.32025679762842944478014210202461 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5092
y2[1] (analytic) = 1.1268652298766277531006750095348
y2[1] (numeric) = 1.1268652298763636974725463506354
absolute error = 2.640556281286588994e-13
relative error = 2.3432760291802456473213705750257e-11 %
h = 0.0001
y1[1] (analytic) = 2.487478895134554418120012887788
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0080533565303514178467249525724
relative error = 0.32375577320891360366511774147363 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5093
y2[1] (analytic) = 1.1269139821317338090388049018571
y2[1] (numeric) = 1.1269139821314550787096151995126
absolute error = 2.787303291897023445e-13
relative error = 2.4733948962319235063517289138662e-11 %
h = 0.0001
y1[1] (analytic) = 2.4875662061740267592414783245936
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.008140667569823758968190389378
relative error = 0.32725430782983747053669339698971 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5094
y2[1] (analytic) = 1.1269627431177000363838798906477
y2[1] (numeric) = 1.1269627431174059858681428230931
absolute error = 2.940505157370675546e-13
relative error = 2.6092301412164510778728624243945e-11 %
h = 0.0001
y1[1] (analytic) = 2.4876535123378370426857278857469
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0082279737336340424124399505313
relative error = 0.3307524015232165612186706855019 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=87.7MB, alloc=4.0MB, time=12.37
x[1] = 0.5095
y2[1] (analytic) = 1.1270115128340388252766440440054
y2[1] (numeric) = 1.1270115128337287880125713433916
absolute error = 3.100372640727006138e-13
relative error = 2.7509680295373877194885591658868e-11 %
h = 0.0001
y1[1] (analytic) = 2.4877408136251122068153862881703
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0083152750209092065420983529547
relative error = 0.33425005432106357661988178336379 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5096
y2[1] (analytic) = 1.1270602912802624785541158873053
y2[1] (numeric) = 1.1270602912799357664490866933857
absolute error = 3.267121050291939196e-13
relative error = 2.8987988269737689231769481234105e-11 %
h = 0.0001
y1[1] (analytic) = 2.4878281100349792387584294012944
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0084025714307762384851414660788
relative error = 0.3377472662553884023152196601067 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5097
y2[1] (analytic) = 1.1271090784558832117544653748244
y2[1] (numeric) = 1.1271090784555391147256186170157
absolute error = 3.440970288467578087e-13
relative error = 3.0529168420696586314053129185082e-11 %
h = 0.0001
y1[1] (analytic) = 2.4879154015665651744169143757705
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0084898629623621741436264405549
relative error = 0.34124403735819810812693485923398 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5098
y2[1] (analytic) = 1.1271578743604131531218917343559
y2[1] (numeric) = 1.1271578743600509386318406691846
absolute error = 3.622144900510651713e-13
relative error = 3.2135204685199729779104375153932e-11 %
h = 0.0001
y1[1] (analytic) = 2.4880026882189970984757092844435
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0085771496147940982024213492279
relative error = 0.34474036766149694770619872066933 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5099
y2[1] (analytic) = 1.1272066789933643436115021847631
y2[1] (numeric) = 1.1272066789929832561991702157581
absolute error = 3.810874123319690050e-13
relative error = 3.3808122275525693174641584394278e-11 %
h = 0.0001
y1[1] (analytic) = 2.4880899699914021444112222754956
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.00866443138719914413793434028
relative error = 0.34823625719728635811493293934347 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.0MB, time=12.92
NO POLE
NO POLE
x[1] = 0.51
y2[1] (analytic) = 1.1272554923542487368941915264245
y2[1] (numeric) = 1.1272554923538479977007684335648
absolute error = 4.007391934230928597e-13
relative error = 3.5549988103065944155883831730206e-11 %
h = 0.0001
y1[1] (analytic) = 2.4881772468829074945001302376746
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.008751708278704494226842302459
relative error = 0.35173170599756495940790535457244 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5101
y2[1] (analytic) = 1.1273043144425781993615226045203
y2[1] (numeric) = 1.1273043144421570056515403103958
absolute error = 4.211937099822941245e-13
relative error = 3.7362911202070856696183119727494e-11 %
h = 0.0001
y1[1] (analytic) = 2.4882645188926403798281069775205
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0088389802884373795548190423049
relative error = 0.35522671409432855421509186490828 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5102
y2[1] (analytic) = 1.1273531452578645101306076451132
y2[1] (numeric) = 1.127353145257422034808134645005
absolute error = 4.424753224730001082e-13
relative error = 3.9249043153358192418192269076777e-11 %
h = 0.0001
y1[1] (analytic) = 2.488351786019728080298550908501
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0089262474155250800252629732854
relative error = 0.35872128151957012732430436305127 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5103
y2[1] (analytic) = 1.1274019847996193610489904639729
y2[1] (numeric) = 1.1274019847991547521689440471091
absolute error = 4.646088800464168638e-13
relative error = 4.1210578507983989786012815219048e-11 %
h = 0.0001
y1[1] (analytic) = 2.4884390482632979246413122519706
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.009013509659094924368024316755
relative error = 0.36221540830527984526408458560895 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.0MB, time=13.48
NO POLE
NO POLE
x[1] = 0.5104
y2[1] (analytic) = 1.1274508330673543566995295480967
y2[1] (numeric) = 1.1274508330668667369741049373875
absolute error = 4.876197254246107092e-13
relative error = 4.3249755210875800098290702642497e-11 %
h = 0.0001
y1[1] (analytic) = 2.4885263056224772904214197498644
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0091007670182742901481318146488
relative error = 0.36570909448344505588686377237523 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5105
y2[1] (analytic) = 1.127499690060581014405282009877
y2[1] (numeric) = 1.1274996900600694807054975474824
absolute error = 5.115336997844623946e-13
relative error = 4.5368855024428209111271652386633e-11 %
h = 0.0001
y1[1] (analytic) = 2.488613558096393604047806889041
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0091880194921906037745189538254
relative error = 0.36920234008605028795238802996703 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5106
y2[1] (analytic) = 1.1275485557788107642343884138662
y2[1] (numeric) = 1.1275485557782743870867459199985
absolute error = 5.363771476424938677e-13
relative error = 4.7570203952060583213917535605611e-11 %
h = 0.0001
y1[1] (analytic) = 2.4887008056841743407820376371855
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0092752670799713405087497019699
relative error = 0.37269514514507725071140929455188 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5107
y2[1] (analytic) = 1.1275974302215549490049584760917
y2[1] (numeric) = 1.1275974302209927720832179085034
absolute error = 5.621769217405675883e-13
relative error = 4.9856172661736979161389591576417e-11 %
h = 0.0001
y1[1] (analytic) = 2.488788048384947024747031690187
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0093625097807440244737437549714
relative error = 0.37618750969250483348964178856813 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.0MB, time=14.05
NO POLE
NO POLE
x[1] = 0.5108
y2[1] (analytic) = 1.1276463133883248242899576358707
y2[1] (numeric) = 1.1276463133877358639020251775275
absolute error = 5.889603879324583432e-13
relative error = 5.2229176909448156350979380258698e-11 %
h = 0.0001
y1[1] (analytic) = 2.4888752861978392289357892309016
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.009449747593636228662501295686
relative error = 0.37967943376030910527198386623536 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5109
y2[1] (analytic) = 1.127695205278631558422094500076
y2[1] (numeric) = 1.1276952052780148029920232025637
absolute error = 6.167554300712975123e-13
relative error = 5.4691677962655630664445309353362e-11 %
h = 0.0001
y1[1] (analytic) = 2.4889625191219785752201151992156
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.009536980517775574946827264
relative error = 0.38317091738046331428700514283263 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.511
y2[1] (analytic) = 1.1277441058919862324987091598053
y2[1] (numeric) = 1.1277441058913406420438112700678
absolute error = 6.455904548978897375e-13
relative error = 5.7246183023697709002664498966166e-11 %
h = 0.0001
y1[1] (analytic) = 2.4890497471564927343593430733201
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0096242085522897340860551381045
relative error = 0.38666196058493788759169880261458 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5111
y2[1] (analytic) = 1.1277930152278998403866623794037
y2[1] (numeric) = 1.1277930152272243459897324774583
absolute error = 6.754943969299019454e-13
relative error = 5.9895245653157443625172199620154e-11 %
h = 0.0001
y1[1] (analytic) = 2.4891369703005094260090581621101
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0097114316963064257357702268945
relative error = 0.39015256340570043065649898034276 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=102.9MB, alloc=4.0MB, time=14.62
NO POLE
NO POLE
x[1] = 0.5112
y2[1] (analytic) = 1.1278419332858832887272256577907
y2[1] (numeric) = 1.1278419332851767920038737331164
absolute error = 7.064967233519246743e-13
relative error = 6.2641466193192445402714796058388e-11 %
h = 0.0001
y1[1] (analytic) = 2.4892241885531564187298204086218
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0097986499489534184565324734062
relative error = 0.39364272587471572695056311146647 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5113
y2[1] (analytic) = 1.1278908600654473969409721620439
y2[1] (numeric) = 1.1278908600647087695020657563861
absolute error = 7.386274389064056578e-13
relative error = 6.5487492190826495290438086963307e-11 %
h = 0.0001
y1[1] (analytic) = 2.4893114019135615299958867044192
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0098858633093585297225987692036
relative error = 0.39713244802394573752731914591469 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5114
y2[1] (analytic) = 1.1279397955661028972326685331886
y2[1] (numeric) = 1.127939795565330980141883077574
absolute error = 7.719170907854556146e-13
relative error = 6.8436018821202893129812490619710e-11 %
h = 0.0001
y1[1] (analytic) = 2.489398610380852626203932714845
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0099730717766496259306447796294
relative error = 0.4006217298853496006102775206491 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5115
y2[1] (analytic) = 1.1279887397873604345961675641465
y2[1] (numeric) = 1.1279887397865540378226440379495
absolute error = 8.063967735235261970e-13
relative error = 7.1489789310799483184433159911327e-11 %
h = 0.0001
y1[1] (analytic) = 2.4894858139541576226817742150457
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0100602753499546224084862798301
relative error = 0.4041105714908836311791077859561 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=106.8MB, alloc=4.0MB, time=15.18
x[1] = 0.5116
y2[1] (analytic) = 1.128037692728730566819301749793
y2[1] (numeric) = 1.1280376927278884686854107897448
absolute error = 8.420981338909600482e-13
relative error = 7.4651595360605295641930505723275e-11 %
h = 0.0001
y1[1] (analytic) = 2.489573012632604483697087936687
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0101474740284014834238000014714
relative error = 0.40759897287250132055597978073576 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5117
y2[1] (analytic) = 1.1280866543897237644887777090747
y2[1] (numeric) = 1.1280866543888447111129892961547
absolute error = 8.790533757884129200e-13
relative error = 7.7924277569258743487129368987892e-11 %
h = 0.0001
y1[1] (analytic) = 2.4896602064153212224661319252692
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0102346678111182221928439900536
relative error = 0.41108693406215333599216925182157 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5118
y2[1] (analytic) = 1.1281356247698504109950714791383
y2[1] (numeric) = 1.1281356247689331157299293313368
absolute error = 9.172952651421478015e-13
relative error = 8.1310725856147314102845319748577e-11 %
h = 0.0001
y1[1] (analytic) = 2.4897473953014359011624654079576
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.010321856697232900889177472742
relative error = 0.41457445509178752025492781260892 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5119
y2[1] (analytic) = 1.1281846038686208025373246814218
y2[1] (numeric) = 1.1281846038676639454025244804114
absolute error = 9.568571348002010104e-13
relative error = 8.4813879884468695083271353370709e-11 %
h = 0.0001
y1[1] (analytic) = 2.4898345792900766309256681718396
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.010409040685873630652380236624
relative error = 0.41806153599334889121461713617032 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.512
y2[1] (analytic) = 1.1282335916855451481282415596589
y2[1] (numeric) = 1.1282335916845473752388121394615
absolute error = 9.977728894294201974e-13
relative error = 8.8436729484253273687310699562707e-11 %
h = 0.0001
y1[1] (analytic) = 2.4899217583803715718700594525215
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0104962197761685715967715173059
relative error = 0.42154817679877964143210727811901 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.0MB, time=15.76
NO POLE
NO POLE
x[1] = 0.5121
y2[1] (analytic) = 1.128282588220133569598986889748
y2[1] (numeric) = 1.1282825882190934925885735155329
absolute error = 1.0400770104133742151e-12
relative error = 9.2182315075347949478916494426680e-11 %
h = 0.0001
y1[1] (analytic) = 2.4900089325714489330934163329783
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0105833939672459328201283977627
relative error = 0.42503437754001913774643902452705 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5122
y2[1] (analytic) = 1.1283315934718961016040847614365
y2[1] (numeric) = 1.1283315934708122970433336266342
absolute error = 1.0838045607511348023e-12
relative error = 9.6053728090361199697099840722712e-11 %
h = 0.0001
y1[1] (analytic) = 2.4900961018624369726856916525687
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0106705632582339724124037173531
relative error = 0.42852013824900392086275016019154 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5123
y2[1] (analytic) = 1.1283806074403426916263182317713
y2[1] (numeric) = 1.1283806074392137004363613017365
absolute error = 1.1289911899569300348e-12
relative error = 1.0005411139756933695592557553922e-10 %
h = 0.0001
y1[1] (analytic) = 2.4901832662524639977377314261276
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.010757727648260997464443490912
relative error = 0.4320054589576677049404655525788 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5124
y2[1] (analytic) = 1.1284296301249831999816298502668
y2[1] (numeric) = 1.1284296301238075268426691807738
absolute error = 1.1756731389606694930e-12
relative error = 1.0418665972378389884385107536865e-10 %
h = 0.0001
y1[1] (analytic) = 2.4902704257406583643499917730516
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.010844887136455364076703837836
relative error = 0.43549033969794137718175094693619 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.0MB, time=16.33
NO POLE
NO POLE
x[1] = 0.5125
y2[1] (analytic) = 1.128478661525327399824023055742
y2[1] (numeric) = 1.1284786615241035125790137146427
absolute error = 1.2238872450093410993e-12
relative error = 1.0845462007718010927098309260524e-10 %
h = 0.0001
y1[1] (analytic) = 2.4903575803261484776412553562859
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0109320417219454773679674210703
relative error = 0.43897478050175299742023036780928 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5126
y2[1] (analytic) = 1.1285277016408849771504644447756
y2[1] (numeric) = 1.1285277016396113062038951652027
absolute error = 1.2736709465692795729e-12
relative error = 1.1286129217008635097420822389264e-10 %
h = 0.0001
y1[1] (analytic) = 2.4904447300080627917573473311301
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0110191914038597914840593959145
relative error = 0.4424587814010277977099670225979 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5127
y2[1] (analytic) = 1.1285767504711655308057869117326
y2[1] (numeric) = 1.128576750469840468517557605276
absolute error = 1.3250622882293064566e-12
relative error = 1.1741002884173458925045316730977e-10 %
h = 0.0001
y1[1] (analytic) = 2.4905318747855298098798508037723
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0111063361813268096065628685567
relative error = 0.44594234242768818191470760249257 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5128
y2[1] (analytic) = 1.1286258080156785724875936603122
y2[1] (numeric) = 1.1286258080143004725619889186473
absolute error = 1.3780999256047416649e-12
relative error = 1.2210423648097168655857177348628e-10 %
h = 0.0001
y1[1] (analytic) = 2.4906190146576780842348217994662
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0111934760534750839615338642506
relative error = 0.44942546361365372529738987637684 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.0MB, time=16.88
NO POLE
NO POLE
x[1] = 0.5129
y2[1] (analytic) = 1.1286748742739335267511630865669
y2[1] (numeric) = 1.1286748742725007036209208000643
absolute error = 1.4328231302422865026e-12
relative error = 1.2694737544893154766150146959208e-10 %
h = 0.0001
y1[1] (analytic) = 2.490706149623636216101503740263
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0112806110194332158282158050474
relative error = 0.45290814499084117410991347319669 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.513
y2[1] (analytic) = 1.1287239492454397310143545333464
y2[1] (numeric) = 1.1287239492439504592198287552373
absolute error = 1.4892717945257781091e-12
relative error = 1.3194296050166803555191774590095e-10 %
h = 0.0001
y1[1] (analytic) = 2.4907932796825328558210414322121
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0113677410783298555477534969965
relative error = 0.45639038659116444518317374841848 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5131
y2[1] (analytic) = 1.1287730329297064355625149161146
y2[1] (numeric) = 1.1287730329281589491259321008394
absolute error = 1.5474864365828152752e-12
relative error = 1.3709456121274859770027575311568e-10 %
h = 0.0001
y1[1] (analytic) = 2.4908804048334967028051945619418
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0114548662292937025319066267262
relative error = 0.45987218844653462551735863011633 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5132
y2[1] (analytic) = 1.128822125326242803553386220092
y2[1] (numeric) = 1.1288221253246352953481939645064
absolute error = 1.6075082051922555856e-12
relative error = 1.4240580239580854277118451841826e-10 %
h = 0.0001
y1[1] (analytic) = 2.4909675250756565055450507025352
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0115419864714535052717627673196
relative error = 0.4633535505888599718725083404221 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.0MB, time=17.46
NO POLE
NO POLE
x[1] = 0.5133
y2[1] (analytic) = 1.1288712264345579110220138686741
y2[1] (numeric) = 1.1288712264328885321373212848367
absolute error = 1.6693788846925838374e-12
relative error = 1.4788036452706590773706576630405e-10 %
h = 0.0001
y1[1] (analytic) = 2.4910546404081410616197378286114
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0116291018039380613464498933958
relative error = 0.46683447305004591035933788789886 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5134
y2[1] (analytic) = 1.1289203362541607468856559630772
y2[1] (numeric) = 1.1289203362524276059857648113916
absolute error = 1.7331408998911516856e-12
relative error = 1.5352198416779685542004879014628e-10 %
h = 0.0001
y1[1] (analytic) = 2.4911417508300792177051363405274
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0117162122258762174318484053118
relative error = 0.47031495586199503603032222664255 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5135
y2[1] (analytic) = 1.1289694547845602129486933931615
y2[1] (numeric) = 1.1289694547827613756277191046951
absolute error = 1.7988373209742884664e-12
relative error = 1.5933445438677154251531294701344e-10 %
h = 0.0001
y1[1] (analytic) = 2.4912288563405998695825905976116
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.011803317736396869309302662396
relative error = 0.47379499905660711247104397776858 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5136
y2[1] (analytic) = 1.1290185820252651239075408193829
y2[1] (numeric) = 1.1290185820233986120391225362338
absolute error = 1.8665118684182831491e-12
relative error = 1.6532162518265039818907455062930e-10 %
h = 0.0001
y1[1] (analytic) = 2.4913159569388319621476199603439
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0118904183346289618743320251283
relative error = 0.47727460266577907139180360913565 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=125.8MB, alloc=4.0MB, time=18.03
x[1] = 0.5137
y2[1] (analytic) = 1.1290677179757842073555585258256
y2[1] (numeric) = 1.1290677179738479984376572884572
absolute error = 1.9362089179012373684e-12
relative error = 1.7148740390634075347297240726084e-10 %
h = 0.0001
y1[1] (analytic) = 2.491403052623904489418629341392
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0119775140197014891453414061764
relative error = 0.48075376672140501221949196897542 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5138
y2[1] (analytic) = 1.1291168626356261037879651442635
y2[1] (numeric) = 1.1291168626336181302827493547774
absolute error = 2.0079735052157894861e-12
relative error = 1.7783575568331376146858640641684e-10 %
h = 0.0001
y1[1] (analytic) = 2.4914901433949464945456192654214
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0120646047907434942723313302058
relative error = 0.48423249125537620168972506944398 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5139
y2[1] (analytic) = 1.1291660160042993666067512492044
y2[1] (numeric) = 1.1291660160022175152755685395693
absolute error = 2.0818513311827096351e-12
relative error = 1.8437070383588154876126274280301e-10 %
h = 0.0001
y1[1] (analytic) = 2.4915772292510870698188954375873
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0121516906468840695456075023717
relative error = 0.48771077629958107343924101577121 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.514
y2[1] (analytic) = 1.1292151780813124621255938238659
y2[1] (numeric) = 1.1292151780791545733590284581706
absolute error = 2.1578887665653656953e-12
relative error = 1.9109633030543453819011577868654e-10 %
h = 0.0001
y1[1] (analytic) = 2.4916643101914553566777778206244
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0122387715872523564044898854088
relative error = 0.4911886218859052275985589770279 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5141
y2[1] (analytic) = 1.1292643488661737695747715970346
y2[1] (numeric) = 1.1292643488639376367177865368815
absolute error = 2.2361328569850601531e-12
relative error = 1.9801677607463888334707844196747e-10 %
h = 0.0001
y1[1] (analytic) = 2.4917513862151805457193092204469
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0123258476109775454460212852313
relative error = 0.49466602804623143038490009441421 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.0MB, time=18.59
NO POLE
NO POLE
x[1] = 0.5142
y2[1] (analytic) = 1.1293135283583915811060812507591
y2[1] (numeric) = 1.1293135283560749497782440129651
absolute error = 2.3166313278372377940e-12
relative error = 2.0513624158959395502304330868460e-10 %
h = 0.0001
y1[1] (analytic) = 2.49183845732139187670696338017
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0124129187171888764336754449544
relative error = 0.49814299481243961369537022296511 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5143
y2[1] (analytic) = 1.129362716557474101797754498828
y2[1] (numeric) = 1.1293627165550746692085459346472
absolute error = 2.3994325892085641808e-12
relative error = 2.1245898718194982012482328817907e-10 %
h = 0.0001
y1[1] (analytic) = 2.491925523509218638579352582469
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0124999849050156383060646472534
relative error = 0.50161952221640687470040440279173 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5144
y2[1] (analytic) = 1.1294119134629294496593760359833
y2[1] (numeric) = 1.1294119134604448639185811611164
absolute error = 2.4845857407948748669e-12
relative error = 2.1998933349098465336099702826160e-10 %
h = 0.0001
y1[1] (analytic) = 2.4920125847777901694589347601848
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0125870461735871691856468249692
relative error = 0.50509561029000747543747295571818 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5145
y2[1] (analytic) = 1.129461119074265655636802357821
y2[1] (numeric) = 1.1294611190716935150599823625239
absolute error = 2.5721405768199952971e-12
relative error = 2.2773166188564202229152095396718e-10 %
h = 0.0001
y1[1] (analytic) = 2.4920996411262358566607201150927
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0126741025220328563874321798771
relative error = 0.50857125906511284240504910352823 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.0MB, time=19.15
NO POLE
NO POLE
x[1] = 0.5146
y2[1] (analytic) = 1.1295103333909906636170814513276
y2[1] (numeric) = 1.1295103333883285160261260199836
absolute error = 2.6621475909554313440e-12
relative error = 2.3569041488652798599526505589345e-10 %
h = 0.0001
y1[1] (analytic) = 2.4921866925536851367009772447452
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0127611539494821364276893095296
relative error = 0.51204646857359156615683800382069 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5147
y2[1] (analytic) = 1.1295595564126123304333733560064
y2[1] (numeric) = 1.1295595564098576724521324255723
absolute error = 2.7546579812409304341e-12
relative error = 2.4387009658786794818091730081460e-10 %
h = 0.0001
y1[1] (analytic) = 2.4922737390592674953059387773014
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0128482004550644950326508420858
relative error = 0.51552123884730940089626709958006 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5148
y2[1] (analytic) = 1.1296087881386384258698715955411
y2[1] (numeric) = 1.1296087881357887022148656823294
absolute error = 2.8497236550059132117e-12
relative error = 2.5227527307942320507546969670948e-10 %
h = 0.0001
y1[1] (analytic) = 2.492360780642112467420506514258
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0129352420379094671472185790424
relative error = 0.51899556991812926407123767869622 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5149
y2[1] (analytic) = 1.1296580285685766326667254799502
y2[1] (numeric) = 1.1296580285656292354329337042571
absolute error = 2.9473972337917756931e-12
relative error = 2.6091057286836712885411151313207e-10 %
h = 0.0001
y1[1] (analytic) = 2.4924478173013496372169560809929
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0130222786971466369436681457773
relative error = 0.52246946181791123596913753953951 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.0MB, time=19.71
NO POLE
NO POLE
x[1] = 0.515
y2[1] (analytic) = 1.1297072777019345465249632781811
y2[1] (numeric) = 1.1297072776988868144666882163203
absolute error = 3.0477320582750618608e-12
relative error = 2.6978068730112092716748496495880e-10 %
h = 0.0001
y1[1] (analytic) = 2.4925348490361086381036410850348
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0131093104319056378303531498192
relative error = 0.5259429145785125593121146588246 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5151
y2[1] (analytic) = 1.129756535538219676111416261096
y2[1] (numeric) = 1.1297565355350688939182247544465
absolute error = 3.1507821931915066495e-12
relative error = 2.7889037098514891954821082342150e-10 %
h = 0.0001
y1[1] (analytic) = 2.4926218758455191527336967819731
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0131963372413161524604088467575
relative error = 0.52941592823178763885261175806471 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5152
y2[1] (analytic) = 1.1298058020769394430636436147992
y2[1] (numeric) = 1.1298058020736828406313826655262
absolute error = 3.2566024322609492730e-12
relative error = 2.8824444221071327127962218946630e-10 %
h = 0.0001
y1[1] (analytic) = 2.4927088977287109130137432489187
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0132833591245079127404553137031
relative error = 0.53288850280958804096916166480127 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5153
y2[1] (analytic) = 1.1298550773176011819948582242577
y2[1] (numeric) = 1.1298550773142359336917451074124
absolute error = 3.3652483031131168453e-12
relative error = 2.9784778337258812572147032214393e-10 %
h = 0.0001
y1[1] (analytic) = 2.4927959146848137001125880654308
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0133703760806106998393001302152
relative error = 0.536360638343762493262443365006 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.0MB, time=20.26
NO POLE
NO POLE
x[1] = 0.5154
y2[1] (analytic) = 1.1299043612597121404988533271647
y2[1] (numeric) = 1.1299043612562353644266390489209
absolute error = 3.4767760722142782438e-12
relative error = 3.0770534139173307564942002314715e-10 %
h = 0.0001
y1[1] (analytic) = 2.4928829267129573444699285018216
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.013457388108754344196640566606
relative error = 0.53983233486615688415159864295587 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5155
y2[1] (analytic) = 1.1299536539027794791549300379977
y2[1] (numeric) = 1.1299536538991882364051352698303
absolute error = 3.5912427497947681674e-12
relative error = 3.1782212813692591463893837045005e-10 %
h = 0.0001
y1[1] (analytic) = 2.4929699338122717258050532147519
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0135443952080687255317652795363
relative error = 0.5433035924086142624708092049574 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5156
y2[1] (analytic) = 1.1300029552463102715328257422214
y2[1] (numeric) = 1.1300029552426015654380483608818
absolute error = 3.7087060947773813396e-12
relative error = 3.2820322084635460932523527964410e-10 %
h = 0.0001
y1[1] (analytic) = 2.4930569359818867731255434500313
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0136313973776837728522555148157
relative error = 0.54677441100297483706613418335622 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5157
y2[1] (analytic) = 1.130052265289811504197643360586
y2[1] (numeric) = 1.1300522652859822795779367237794
absolute error = 3.8292246197066368066e-12
relative error = 3.3885376254916843340214394950040e-10 %
h = 0.0001
y1[1] (analytic) = 2.4931439332209324647359737525347
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0137183946167294644626858173191
relative error = 0.55024479068107597639260791721974 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=144.9MB, alloc=4.0MB, time=20.80
x[1] = 0.5158
y2[1] (analytic) = 1.1301015840327900767147814834725
y2[1] (numeric) = 1.1301015840288372191191025711898
absolute error = 3.9528575956789122827e-12
relative error = 3.4977896248698820446643580854455e-10 %
h = 0.0001
y1[1] (analytic) = 2.4932309255285388282466121831497
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0138053869243358279733242479341
relative error = 0.5537147314747522081115979062281 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5159
y2[1] (analytic) = 1.1301509114747528016548653752341
y2[1] (numeric) = 1.1301509114706731365975919267425
absolute error = 4.0796650572734484916e-12
relative error = 3.6098409653537556452669184223913e-10 %
h = 0.0001
y1[1] (analytic) = 2.4933179129038359405821200426662
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0138923742996329403088321074506
relative error = 0.55718423341583521868842283420883 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.516
y2[1] (analytic) = 1.1302002476152064045986788484863
y2[1] (numeric) = 1.1302002476109966967911946250296
absolute error = 4.2097078074842234567e-12
relative error = 3.7247450762526124543414636178212e-10 %
h = 0.0001
y1[1] (analytic) = 2.4934048953459539279902511025232
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0139793567417509277169631673076
relative error = 0.5606532965361538529902305589296 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5161
y2[1] (analytic) = 1.1302495924536575241420970082945
y2[1] (numeric) = 1.1302495924493144767194443116061
absolute error = 4.3430474226526966884e-12
relative error = 3.8425560616433226008169027299386e-10 %
h = 0.0001
y1[1] (analytic) = 2.4934918728540229660505503423234
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0140663342498199657772624071078
relative error = 0.56412192086753411388413596461986 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5162
y2[1] (analytic) = 1.1302989459896127119010198662115
y2[1] (numeric) = 1.1302989459851329656436184429896
absolute error = 4.4797462574014232219e-12
relative error = 3.9633287045837796074397732335305e-10 %
h = 0.0001
y1[1] (analytic) = 2.4935788454271732796830521940309
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0141533068229702794097642588153
relative error = 0.56759010644179916183561857391115 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.0MB, time=21.34
NO POLE
NO POLE
x[1] = 0.5163
y2[1] (analytic) = 1.1303483082225784325163068241143
y2[1] (numeric) = 1.1303483082179585650667382866604
absolute error = 4.6198674495685374539e-12
relative error = 4.0871184713259490552038108068470e-10 %
h = 0.0001
y1[1] (analytic) = 2.4936658130645351431569782927631
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0142402744603321428836903575475
relative error = 0.57105785329076931450717981575012 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5164
y2[1] (analytic) = 1.1303976791520610636587120277912
y2[1] (numeric) = 1.1303976791472975887335689210617
absolute error = 4.7634749251431067295e-12
relative error = 4.2139815155285047413925062146690e-10 %
h = 0.0001
y1[1] (analytic) = 2.4937527757652388800994347340921
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0143272371610358798261467988765
relative error = 0.57452516144626204635725984603724 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5165
y2[1] (analytic) = 1.1304470587775668960338205902303
y2[1] (numeric) = 1.1304470587726562626306192355992
absolute error = 4.9106334032013546311e-12
relative error = 4.3439746824690517446620998956442e-10 %
h = 0.0001
y1[1] (analytic) = 2.4938397335284148635041088377656
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.01441419492421186323082090255
relative error = 0.57799203094009198823941381756471 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5166
y2[1] (analytic) = 1.1304964470986021333869856845598
y2[1] (numeric) = 1.1304964470935407249861419306415
absolute error = 5.0614084008437539183e-12
relative error = 4.4771555132559358085162207176678e-10 %
h = 0.0001
y1[1] (analytic) = 2.4939266863531935157399654177629
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0145011477489905154666774825473
relative error = 0.5814584618040709270017474960819 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.0MB, time=21.89
NO POLE
NO POLE
x[1] = 0.5167
y2[1] (analytic) = 1.1305458441146728925082665065897
y2[1] (numeric) = 1.1305458441094570262701335175199
absolute error = 5.2158662381329890698e-12
relative error = 4.6135822490396384566938721177174e-10 %
h = 0.0001
y1[1] (analytic) = 2.4940136342387053085599425585986
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.014588095634502308286654623383
relative error = 0.58492445407000780508661211922851 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5168
y2[1] (analytic) = 1.1305952498252852032373671069077
y2[1] (numeric) = 1.1305952498199111291943343185284
absolute error = 5.3740740430327883793e-12
relative error = 4.7533138352237572552778103792155e-10 %
h = 0.0001
y1[1] (analytic) = 2.4941005771840807631096468977851
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0146750385798777628363589625695
relative error = 0.5883900077697087201305583950478 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5169
y2[1] (analytic) = 1.1306446642299450084685760924777
y2[1] (numeric) = 1.1306446642244089087122284669237
absolute error = 5.5360997563476255540e-12
relative error = 4.8964099256755706337237981915437e-10 %
h = 0.0001
y1[1] (analytic) = 2.4941875151884504499360484143699
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0147619765842474496627604791543
relative error = 0.59185512293497692456454953701874 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.517
y2[1] (analytic) = 1.1306940873281581641557071976931
y2[1] (numeric) = 1.1306940873224561520190439069253
absolute error = 5.7020121366632907678e-12
relative error = 5.0429308869361866805083139673289e-10 %
h = 0.0001
y1[1] (analytic) = 2.4942744482509449889961747234587
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0148489096467419887228867882431
relative error = 0.59531979959761282521443323237872 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.0MB, time=22.46
NO POLE
NO POLE
x[1] = 0.5171
y2[1] (analytic) = 1.1307435191194304393170407248341
y2[1] (numeric) = 1.1307435191135585585517523937153
absolute error = 5.8718807652883311188e-12
relative error = 5.1929378024302753272819635642510e-10 %
h = 0.0001
y1[1] (analytic) = 2.4943613763706950496658048766372
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0149358377664920493925169414216
relative error = 0.59878403778941398290167244061523 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5172
y2[1] (analytic) = 1.1307929596032675160402658538812
y2[1] (numeric) = 1.1307929595972217399890694934387
absolute error = 6.0457760511963604425e-12
relative error = 5.3464924766753833374090477254649e-10 %
h = 0.0001
y1[1] (analytic) = 2.4944482995468313507481626682069
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0150227609426283504748747329913
relative error = 0.60224783754217511204433491913276 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5173
y2[1] (analytic) = 1.130842408779174989487423821634
y2[1] (numeric) = 1.1308424087729512202514545832031
absolute error = 6.2237692359692384309e-12
relative error = 5.5036574394908315141134585459133e-10 %
h = 0.0001
y1[1] (analytic) = 2.4945352177784846604826094471451
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0151096791742816602093215119295
relative error = 0.60571119888768808025834137292889 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5174
y2[1] (analytic) = 1.1308918666466583678998519700868
y2[1] (numeric) = 1.1308918666402524355011108510789
absolute error = 6.4059323987411190079e-12
relative error = 5.6644959502061935440292058208069e-10 %
h = 0.0001
y1[1] (analytic) = 2.4946221310647857965533364347042
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0151965924605827962800484994886
relative error = 0.60917412185774190795897212534089 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=160.2MB, alloc=4.0MB, time=23.02
x[1] = 0.5175
y2[1] (analytic) = 1.1309413332052230726031286640106
y2[1] (numeric) = 1.1309413331986307341419852960992
absolute error = 6.5923384611433679114e-12
relative error = 5.8290720018693558923551170909416e-10 %
h = 0.0001
y1[1] (analytic) = 2.4947090394048656260980565475626
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.015283500800662625824768612347
relative error = 0.61263660648412276796263220684376 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5176
y2[1] (analytic) = 1.1309908084543744380120190776941
y2[1] (numeric) = 1.1309908084475913768197687282599
absolute error = 6.7830611922503494342e-12
relative error = 5.9974503254541581677176336223168e-10 %
h = 0.0001
y1[1] (analytic) = 2.4947959427978550657166957264401
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0153704041936520654434077912245
relative error = 0.61609865279861398508887475893639 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5177
y2[1] (analytic) = 1.1310402923936177116354218507911
y2[1] (numeric) = 1.1310402923866395364218957685195
absolute error = 6.9781752135260822716e-12
relative error = 6.1696963940676133715330029497539e-10 %
h = 0.0001
y1[1] (analytic) = 2.4948828412428850814800837700916
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.015457302638682081206795834876
relative error = 0.61956026083299603576268265021967 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5178
y2[1] (analytic) = 1.1310897850224580540813166132278
y2[1] (numeric) = 1.1310897850152802980775448487992
absolute error = 7.1777560037717644286e-12
relative error = 6.3458764271567074514827860624467e-10 %
h = 0.0001
y1[1] (analytic) = 2.4949697347390866889386446745917
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0155441961348836886653567393761
relative error = 0.62302143061904654761700820175434 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5179
memory used=164.0MB, alloc=4.0MB, time=23.60
y2[1] (analytic) = 1.1311392863404005390617123791188
y2[1] (numeric) = 1.1311392863330186591576382119831
absolute error = 7.3818799040741671357e-12
relative error = 6.5260573947147775756693286965221e-10 %
h = 0.0001
y1[1] (analytic) = 2.4950566232855909531310864778228
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0156310846813879528577985426072
relative error = 0.62648216218854029909557091881769 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.518
y2[1] (analytic) = 1.1311887963469501533975968096429
y2[1] (numeric) = 1.131188796339359529274841911918
absolute error = 7.5906241227548977249e-12
relative error = 6.7103070214874685467181305397810e-10 %
h = 0.0001
y1[1] (analytic) = 2.4951435068815289885930906090811
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0157179682773259883198026738655
relative error = 0.62994245557324921905591312628167 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5181
y2[1] (analytic) = 1.1312383150416117970238863448289
y2[1] (numeric) = 1.1312383150338077302835658134133
absolute error = 7.8040667403205314156e-12
relative error = 6.8986937911782667738155111846888e-10 %
h = 0.0001
y1[1] (analytic) = 2.4952303855260319593660007437126
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.015804846921828959092712808497
relative error = 0.63340231080494238637271340477458 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5182
y2[1] (analytic) = 1.1312878424238902829943772042027
y2[1] (numeric) = 1.1312878424158679962799635922412
absolute error = 8.0222867144136119615e-12
relative error = 7.0912869506536112223091553055575e-10 %
h = 0.0001
y1[1] (analytic) = 2.495317259218231079005511162692
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0158917206140280787322232274764
relative error = 0.63686172791538602954135772485226 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5183
y2[1] (analytic) = 1.131337378493290337486697256245
y2[1] (numeric) = 1.1313373784850449736019327351366
absolute error = 8.2453638847645211084e-12
relative error = 7.2881565141475807598396778513617e-10 %
h = 0.0001
y1[1] (analytic) = 2.495404127957257610590354617059
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0159785893530546103170666818434
relative error = 0.64032070693634352628176817649953 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.0MB, time=24.18
NO POLE
NO POLE
x[1] = 0.5184
y2[1] (analytic) = 1.1313869232493165998072587566106
y2[1] (numeric) = 1.1313869232408432208291145397972
absolute error = 8.4733789781442168134e-12
relative error = 7.4893732674661573189033210683174e-10 %
h = 0.0001
y1[1] (analytic) = 2.4954909917422428667309896971234
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0160654531380398664577017619078
relative error = 0.64377924789957540314248919119098 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5185
y2[1] (analytic) = 1.1314364766914736223962119550608
y2[1] (numeric) = 1.1314364766827672087828941148834
absolute error = 8.7064136133178401774e-12
relative error = 7.6950087721910642973847498835742e-10 %
h = 0.0001
y1[1] (analytic) = 2.4955778505723182095782877063537
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0161523119681152093049997711381
relative error = 0.64723735083683933510503115390292 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5186
y2[1] (analytic) = 1.1314860388192658708323995710571
y2[1] (numeric) = 1.1314860388103213205264003800183
absolute error = 8.9445503059991910388e-12
relative error = 7.9051353698831796154648209304116e-10 %
h = 0.0001
y1[1] (analytic) = 2.4956647044466150508322190398604
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0162391658424120505589311046448
relative error = 0.65069501577989014518847130236044 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5187
y2[1] (analytic) = 1.1315356096321977238383121379692
y2[1] (numeric) = 1.1315356096230098513645060657877
absolute error = 9.1878724738060721815e-12
relative error = 8.1198261862855228523060733608290e-10 %
h = 0.0001
y1[1] (analytic) = 2.4957515533642648517505390673899
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0163260147600618514772511321743
relative error = 0.65415224276047980405431181102231 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.1MB, time=24.74
NO POLE
NO POLE
x[1] = 0.5188
y2[1] (analytic) = 1.1315851891297734732850442158455
y2[1] (numeric) = 1.1315851891203370088438277137403
absolute error = 9.4364644412165021052e-12
relative error = 8.3391551355258158818125015733470e-10 %
h = 0.0001
y1[1] (analytic) = 2.4958383973243991231574735207391
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0164128587201961228841855855235
relative error = 0.65760903181035742961159495710669 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5189
y2[1] (analytic) = 1.1316347773114973241972514726985
y2[1] (numeric) = 1.1316347773018069127527256763873
absolute error = 9.6904114445257963112e-12
relative error = 8.5631969243186164317576617334693e-10 %
h = 0.0001
y1[1] (analytic) = 2.4959252363261494254524033855063
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0164996977219464251791154502907
relative error = 0.66106538296126928662227526621125 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.519
y2[1] (analytic) = 1.1316843741768733947581086342535
y2[1] (numeric) = 1.1316843741669235951213041172027
absolute error = 9.9497996368045170508e-12
relative error = 8.7920270561670239855857532702130e-10 %
h = 0.0001
y1[1] (analytic) = 2.4960120703686473686185492970897
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0165865317644443683452613618741
relative error = 0.6645212962449587863068485349416 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5191
y2[1] (analytic) = 1.1317339797254057163142683021134
y2[1] (numeric) = 1.1317339797151910002214110106233
absolute error = 1.02147160928572914901e-11
relative error = 9.0257218355639574525131359546780e-10 %
h = 0.0001
y1[1] (analytic) = 2.4960988994510246122316554408486
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.016673360846821611958367505633
relative error = 0.66797677169316648595023762814443 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.1MB, time=25.30
NO POLE
NO POLE
x[1] = 0.5192
y2[1] (analytic) = 1.1317835939565982333808206402875
y2[1] (numeric) = 1.1317835939461129845666381420486
absolute error = 1.04852488141824982389e-11
relative error = 9.2643583721930040265686702935542e-10 %
h = 0.0001
y1[1] (analytic) = 2.4961857235724128654686729563381
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0167601849682098651953850211225
relative error = 0.67143180933763008850793494820227 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5193
y2[1] (analytic) = 1.1318332168699548036462539300367
y2[1] (numeric) = 1.1318332168591933169123211078408
absolute error = 1.07614867339328221959e-11
relative error = 9.5080145851288386595896852012798e-10 %
h = 0.0001
y1[1] (analytic) = 2.4962725427319438871164428455326
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.016847004127740886843154910317
relative error = 0.67488640921008444221240147405713 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5194
y2[1] (analytic) = 1.1318828484649791979774159929847
y2[1] (numeric) = 1.1318828484539356782555393153248
absolute error = 1.10435197218766776599e-11
relative error = 9.7567692070372135713828640167203e-10 %
h = 0.0001
y1[1] (analytic) = 2.4963593569287494855803783849504
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0169338183245464853070904497348
relative error = 0.67834057134226154017972226754233 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5195
y2[1] (analytic) = 1.1319324887411751004244764824447
y2[1] (numeric) = 1.1319324887298436618351159827883
absolute error = 1.13314385893604996564e-11
relative error = 1.0010701788374517220396302363034e-09 %
h = 0.0001
y1[1] (analytic) = 2.4964461661619615188931470415919
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0170206275577585186198591063763
relative error = 0.68179429576589052001651834464144 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=179.2MB, alloc=4.1MB, time=25.87
x[1] = 0.5196
y2[1] (analytic) = 1.1319821376980461082258900429144
y2[1] (numeric) = 1.1319821376864207731316181394817
absolute error = 1.16253350942719034327e-11
relative error = 1.0269892701586902161919707942359e-09 %
h = 0.0001
y1[1] (analytic) = 2.4965329704307118947233518926059
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0171074318265088944500639573903
relative error = 0.68524758251269766342711480940376 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5197
y2[1] (analytic) = 1.1320317953350957318133603376867
y2[1] (numeric) = 1.1320317953231704298673566256181
absolute error = 1.19253019460037120686e-11
relative error = 1.0534423145308981215930499329994e-09 %
h = 0.0001
y1[1] (analytic) = 2.4966197697341325703842125485964
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0171942311299295701109246133808
relative error = 0.68870043161440639582096514819414 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5198
y2[1] (analytic) = 1.1320814616518273948168049445289
y2[1] (numeric) = 1.1320814616395959620063860923734
absolute error = 1.22314328104188521555e-11
relative error = 1.0804375148562091372141409963268e-09 %
h = 0.0001
y1[1] (analytic) = 2.4967065640713555528422455804831
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0172810254671525525689576452675
relative error = 0.69215284310273728592033158201769 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5199
y2[1] (analytic) = 1.1321311366477444340693211193792
y2[1] (numeric) = 1.1321311366352006117545050018862
absolute error = 1.25438223148161174930e-11
relative error = 1.1079831574952124856938163902010e-09 %
h = 0.0001
y1[1] (analytic) = 2.4967933534415128987259444498288
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0173678148373098984526565146132
relative error = 0.69560481700940804536822137469172 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.52
y2[1] (analytic) = 1.1321808203223500996121524280115
y2[1] (numeric) = 1.1321808203094875335592556272578
absolute error = 1.28625660528968007537e-11
relative error = 1.1360876126866926788711295855051e-09 %
h = 0.0001
y1[1] (analytic) = 2.4968801378437367143344589425478
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0174545992395337140611710073322
relative error = 0.69905635336613352833657899470403 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.1MB, time=26.44
NO POLE
NO POLE
x[1] = 0.5201
y2[1] (analytic) = 1.1322305126751475546996562456192
y2[1] (numeric) = 1.1322305126619597941099240525522
absolute error = 1.31877605897321930670e-11
relative error = 1.1647593349673258848576341100798e-09 %
h = 0.0001
y1[1] (analytic) = 2.4969669172771591556462741059063
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0175413786729561553729861706907
relative error = 0.70250745220462573113473402850511 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5202
y2[1] (analytic) = 1.132280213705639875804272124267
y2[1] (numeric) = 1.1322802136921203723375401727962
absolute error = 1.35195034667319514708e-11
relative error = 1.1940068635913328392200415566914e-09 %
h = 0.0001
y1[1] (analytic) = 2.4970536917409124283278886887314
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0176281531367094280546007535158
relative error = 0.70595811355659379181810474323556 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5203
y2[1] (analytic) = 1.1323299234133300526214910281627
y2[1] (numeric) = 1.1323299233994721594148776939793
absolute error = 1.38578932066133341834e-11
relative error = 1.2238388229500882431858301996482e-09 %
h = 0.0001
y1[1] (analytic) = 2.4971404612341287877424930847378
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0177149226299257874692051495222
relative error = 0.70940833745374398979715719662335 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5204
y2[1] (analytic) = 1.1323796417977209880748254366982
y2[1] (numeric) = 1.1323796417835179587564541330537
absolute error = 1.42030293183713036445e-11
relative error = 1.2542639229916865915240037511858e-09 %
h = 0.0001
y1[1] (analytic) = 2.4972272257559405389586467788894
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0178016871517375386853588436738
relative error = 0.71285812392777974544661979213889 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.1MB, time=27.02
NO POLE
NO POLE
x[1] = 0.5205
y2[1] (analytic) = 1.1324293688583154983207803152098
y2[1] (numeric) = 1.1324293688437604860185308179343
absolute error = 1.45550123022494972755e-11
relative error = 1.2852909596404643729082455954518e-09 %
h = 0.0001
y1[1] (analytic) = 2.4973139853054800367589552967061
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0178884467012770364856673614905
relative error = 0.7163074730104016197149531772528 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5206
y2[1] (analytic) = 1.1324791045946163127538249534095
y2[1] (numeric) = 1.1324791045797023690991128874989
absolute error = 1.49139436547120659106e-11
relative error = 1.3169288152164785857247165762762e-09 %
h = 0.0001
y1[1] (analytic) = 2.4974007398818796856487466564309
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0179752012776766853754587212153
relative error = 0.71975638473330731373407538286368 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5207
y2[1] (analytic) = 1.1325288490061260740113656714358
y2[1] (numeric) = 1.1325288489908461481379492915879
absolute error = 1.52799258734163798479e-11
relative error = 1.3491864588549415121238313488949e-09 %
h = 0.0001
y1[1] (analytic) = 2.4974874894842719398647473239689
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0180619508800689395914593887533
relative error = 0.72320485912819166842934210185494 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5208
y2[1] (analytic) = 1.1325786020923473379787193934759
y2[1] (numeric) = 1.1325786020766942755165327910043
absolute error = 1.56530624621866024716e-11
relative error = 1.3820729469256116933233529575999e-09 %
h = 0.0001
y1[1] (analytic) = 2.4975742341117893033837576705131
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0181486955075863031104697352975
relative error = 0.72665289622674666412978200490268 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.1MB, time=27.59
NO POLE
NO POLE
x[1] = 0.5209
y2[1] (analytic) = 1.1326283638527825737940880889078
y2[1] (numeric) = 1.1326283638367491158580999575141
absolute error = 1.60334579359881313937e-11
relative error = 1.4155974234521410489719508827512e-09 %
h = 0.0001
y1[1] (analytic) = 2.4976609737635643299313269327691
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0182354351593613296580389975535
relative error = 0.73010049606066142017858699157637 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.521
y2[1] (analytic) = 1.1326781342869341638535340809147
y2[1] (numeric) = 1.1326781342705129460276311738459
absolute error = 1.64212178259029070688e-11
relative error = 1.4497691205313780838817318958093e-09 %
h = 0.0001
y1[1] (analytic) = 2.4977477084387296229904276756926
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.018322169834526622717139740477
relative error = 0.73354765866162219454385727487693 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5211
y2[1] (analytic) = 1.13272791339430440381595622252
y2[1] (numeric) = 1.132727913377487955131850633691
absolute error = 1.68164486841055888290e-11
relative error = 1.4845973587526271248957048381886e-09 %
h = 0.0001
y1[1] (analytic) = 2.4978344381364178358101297576518
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0184088995322148355368418224362
relative error = 0.73699438406131238342960119731663 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5212
y2[1] (analytic) = 1.132777701174395502608066939994
y2[1] (numeric) = 1.1327777011571762445192263417034
absolute error = 1.72192580888405982906e-11
relative error = 1.5200915476168635311113727202123e-09 %
h = 0.0001
y1[1] (analytic) = 2.4979211628557616714142737979304
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0184956242515586711409858627148
relative error = 0.74044067229141252088698967681956 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.1MB, time=28.16
NO POLE
NO POLE
x[1] = 0.5213
y2[1] (analytic) = 1.1328274976267095824293701435829
y2[1] (numeric) = 1.1328274976090798277799701134999
absolute error = 1.76297546494000300830e-11
relative error = 1.5562611859559048206070677066017e-09 %
h = 0.0001
y1[1] (analytic) = 2.4980078825958938826101441464811
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0185823439916908823368562112655
relative error = 0.74388652338360027842586518052222 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5214
y2[1] (analytic) = 1.1328773027507486787571400055095
y2[1] (numeric) = 1.13287730273270063074603757566
absolute error = 1.80480480111024298495e-11
relative error = 1.5931158623515376567960767388515e-09 %
h = 0.0001
y1[1] (analytic) = 2.4980945973559472719971413558462
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0186690587517442717238534206306
relative error = 0.74733193736955046462650512485119 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5215
y2[1] (analytic) = 1.1329271165460147403514006051963
y2[1] (numeric) = 1.132927116527540491491128165726
absolute error = 1.84742488602724394703e-11
relative error = 1.6306652555546006376268113079287e-09 %
h = 0.0001
y1[1] (analytic) = 2.4981813071350546919754541551558
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0187557685308516917021662199402
relative error = 0.75077691428093502475163960004393 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5216
y2[1] (analytic) = 1.132976939012009629259906441661
y2[1] (numeric) = 1.1329769389931011603306851322028
absolute error = 1.89084689292213094582e-11
relative error = 1.6689191349040228309051565800850e-09 %
h = 0.0001
y1[1] (analytic) = 2.4982680119323490447547309261191
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0188424733281460444814429909035
relative error = 0.75422145414942304035872331750834 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=198.3MB, alloc=4.1MB, time=28.71
x[1] = 0.5217
y2[1] (analytic) = 1.1330267701482351208231238130352
y2[1] (numeric) = 1.1330267701288842998218955345581
absolute error = 1.93508210012282784771e-11
relative error = 1.7078873607458179990200563600147e-09 %
h = 0.0001
y1[1] (analytic) = 2.4983547117469632823627506809207
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0189291731427602820894627457051
relative error = 0.75766555700668072891246167830532 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5218
y2[1] (analytic) = 1.133076609954192903679213063155
y2[1] (numeric) = 1.1330766099343914847636902432224
absolute error = 1.98014189155228199326e-11
relative error = 1.7475798848520344563230255774936e-09 %
h = 0.0001
y1[1] (analytic) = 2.4984414065780304066540935419351
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0190158679738274063808056067195
relative error = 0.76110922288437144339759086112111 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5219
y2[1] (analytic) = 1.1331264584293845797690116951758
y2[1] (numeric) = 1.1331264584091242021967439395888
absolute error = 2.02603775722677555870e-11
relative error = 1.7880067508396605027173025167230e-09 %
h = 0.0001
y1[1] (analytic) = 2.4985280964246834693188107231742
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0191025578204804690455227879586
relative error = 0.76455245181415567193191182819121 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.522
y2[1] (analytic) = 1.1331763155733116643410183521593
y2[1] (numeric) = 1.1331763155525838514034751160132
absolute error = 2.07278129375432361461e-11
relative error = 1.8291780945894853766201153279518e-09 %
h = 0.0001
y1[1] (analytic) = 2.4986147812860555718910940133795
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0191892426818525716178060781639
relative error = 0.76799524382769103737957814754559 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5221
y2[1] (analytic) = 1.1332261813854755859563776645847
y2[1] (numeric) = 1.1332261813642717439080460758142
absolute error = 2.12038420483315887705e-11
relative error = 1.8711041446649156709695580097862e-09 %
h = 0.0001
y1[1] (analytic) = 2.4987014611612798657579447606726
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.019275922557076865484656825457
relative error = 0.7714375989566322969646375300518 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.1MB, time=29.29
NO POLE
NO POLE
x[1] = 0.5222
y2[1] (analytic) = 1.133276055865377686493865964733
y2[1] (numeric) = 1.1332760558436891034763629332731
absolute error = 2.16885830175030314599e-11
relative error = 1.9137952227307471556171308158855e-09 %
h = 0.0001
y1[1] (analytic) = 2.4987881360494895521678423586783
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0193625974452865518945544234627
relative error = 0.77487951723263134188482697979127 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5223
y2[1] (analytic) = 1.133325939012519221154877867895
y2[1] (numeric) = 1.133325938990337066116075613634
absolute error = 2.21821550388022542610e-11
relative error = 1.9572617439718919496725945324676e-09 %
h = 0.0001
y1[1] (analytic) = 2.4988748059498178822394122340325
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0194492673456148819661242988169
relative error = 0.77832099868733719692562145625225 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5224
y2[1] (analytic) = 1.1333758308264013584684137203534
y2[1] (numeric) = 1.1333758308037166800765778531036
absolute error = 2.26846783918358672498e-11
relative error = 2.0015142175120609874256703512440e-09 %
h = 0.0001
y1[1] (analytic) = 2.4989614708613981569700933351886
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.019535932257195156696805399973
relative error = 0.78176204335239602007453594691337 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5225
y2[1] (analytic) = 1.1334257313065251802960679140882
y2[1] (numeric) = 1.1334257312833289058490071988515
absolute error = 2.31962744470607152367e-11
relative error = 2.0465632468324017212976012108972e-09 %
h = 0.0001
y1[1] (analytic) = 2.4990481307833637272448051224361
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0196225921791607269715171872205
relative error = 0.78520265125945110213568084882303 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=205.9MB, alloc=4.1MB, time=29.86
NO POLE
NO POLE
x[1] = 0.5226
y2[1] (analytic) = 1.1334756404523916818370180681572
y2[1] (numeric) = 1.13347564042867461616624500901
absolute error = 2.37170656707730591472e-11
relative error = 2.0924195301900910057040851159822e-09 %
h = 0.0001
y1[1] (analytic) = 2.499134785714847993844614059044
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0197092471106449935713261238284
relative error = 0.78864282244014286634457055776735 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5227
y2[1] (analytic) = 1.1335255582635017716330150766997
y2[1] (numeric) = 1.133525558239254596002916452674
absolute error = 2.42471756300986240257e-11
relative error = 2.1390938610368831052836964271834e-09 %
h = 0.0001
y1[1] (analytic) = 2.499221435654984407455399603443
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0197958970507814071821116682274
relative error = 0.79208255692610886798318516370612 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5228
y2[1] (analytic) = 1.1335754847393562715733740235147
y2[1] (numeric) = 1.1335754847145695425753905099013
absolute error = 2.47867289979835136134e-11
relative error = 2.1865971284376127712950085042024e-09 %
h = 0.0001
y1[1] (analytic) = 2.4993080806029064686765197023594
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0198825419987034684032317671438
relative error = 0.79552185474898379399528515114386 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5229
y2[1] (analytic) = 1.133625419879455916899965963164
y2[1] (numeric) = 1.1336254198541200653417799717122
absolute error = 2.53358515581859914518e-11
relative error = 2.2349403174886533300699702734472e-09 %
h = 0.0001
y1[1] (analytic) = 2.4993947205577477280294757848146
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.019969181953544727756187849599
relative error = 0.7989607159403994626019790031736 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.1MB, time=30.42
NO POLE
NO POLE
x[1] = 0.523
y2[1] (analytic) = 1.133675363683301356212210568549
y2[1] (numeric) = 1.13367536365740668600194144009
absolute error = 2.58946702102691284590e-11
relative error = 2.2841345097363297270720111892165e-09 %
h = 0.0001
y1[1] (analytic) = 2.4994813555186417859665772569024
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0200558169144387856932893216868
relative error = 0.80239914053198482291754360789496 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5231
y2[1] (analytic) = 1.1337253161503931514720696449126
y2[1] (numeric) = 1.1337253161239298384974753279805
absolute error = 2.64633129745943169321e-11
relative error = 2.3341908835952864706857529477174e-09 %
h = 0.0001
y1[1] (analytic) = 2.499567985484722292879605497259
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0201424468805192926063175620434
relative error = 0.80583712855536595456549736604645 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5232
y2[1] (analytic) = 1.1337752772802317780090415102151
y2[1] (numeric) = 1.1337752772531898690117258592923
absolute error = 2.70419089973156509228e-11
relative error = 2.3851207147668104193585275783778e-09 %
h = 0.0001
y1[1] (analytic) = 2.4996546104551229491084773531379
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0202290718509199488351894179223
relative error = 0.80927468004216606729492589861545 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5233
y2[1] (analytic) = 1.1338252470723176245251562418353
y2[1] (numeric) = 1.1338252470446870359697810688968
absolute error = 2.76305885553751729385e-11
relative error = 2.4369353766571083562128873965420e-09 %
h = 0.0001
y1[1] (analytic) = 2.4997412304289775049499081370034
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0203156918247745046766202017878
relative error = 0.81271179502400550059706025328056 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.1MB, time=31.00
NO POLE
NO POLE
x[1] = 0.5234
y2[1] (analytic) = 1.1338752255261509930999717895459
y2[1] (numeric) = 1.1338752254979215100384728026281
absolute error = 2.82294830614989869178e-11
relative error = 2.4896463407955392949896371445500e-09 %
h = 0.0001
y1[1] (analytic) = 2.4998278454054197606660741235564
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0204023068012167603927861883408
relative error = 0.8161484735325017233221075085717 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5235
y2[1] (analytic) = 1.133925212641232099195570954714
y2[1] (numeric) = 1.133925212612393374126376717283
absolute error = 2.88387250691942374310e-11
relative error = 2.5432651772528014613711492874792e-09 %
h = 0.0001
y1[1] (analytic) = 2.4999144553835835664932745471055
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0204889167793805662199866118899
relative error = 0.81958471559926933329633367463685 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5236
y2[1] (analytic) = 1.1339752084170610716615592356757
y2[1] (numeric) = 1.133975208387602623383812280621
absolute error = 2.94584482777469550547e-11
relative error = 2.5978035550590738936427032003761e-09 %
h = 0.0001
y1[1] (analytic) = 2.5000010603626028226505930991964
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0205755217583998223773051639808
relative error = 0.82302052125592005693939878953541 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5237
y2[1] (analytic) = 1.1340252128531379527400635392363
y2[1] (numeric) = 1.1340252128230491652028427713644
absolute error = 3.00887875372207678719e-11
relative error = 2.6532732426221126068927125000694e-09 %
h = 0.0001
y1[1] (analytic) = 2.5000876603416114793485589264142
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0206621217374084790752709911986
relative error = 0.82645589053406274888194411007268 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=217.4MB, alloc=4.1MB, time=31.57
x[1] = 0.5238
y2[1] (analytic) = 1.1340752259489626980707317582446
y2[1] (numeric) = 1.1340752259182328192172752791981
absolute error = 3.07298788534564790465e-11
relative error = 2.7096861081453012647724971445687e-09 %
h = 0.0001
y1[1] (analytic) = 2.5001742553197435367978071282706
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.020748716715540536524519193055
relative error = 0.82989082346530339158343129611794 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5239
y2[1] (analytic) = 1.1341252477040351766957332151922
y2[1] (numeric) = 1.1341252476726533173026607047699
absolute error = 3.13818593930725104223e-11
relative error = 2.7670541200456563029823810783608e-09 %
h = 0.0001
y1[1] (analytic) = 2.5002608452961330452177387550909
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0208353066919300449444508198753
relative error = 0.83332532008124509495023348749472 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.524
y2[1] (analytic) = 1.134175278117855171064759971788
y2[1] (numeric) = 1.1341752780858103035762937596902
absolute error = 3.20448674884662120978e-11
relative error = 2.8253893473717864487969800141206e-09 %
h = 0.0001
y1[1] (analytic) = 2.5003474302699141048451803058119
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0209218916657111045718923705963
relative error = 0.83675938041348809595397817241225 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5241
y2[1] (analytic) = 1.1342253171899223770400290044568
y2[1] (numeric) = 1.1342253171572033343972129665322
absolute error = 3.27190426428160379246e-11
relative error = 2.8847039602218065806742076268465e-09 %
h = 0.0001
y1[1] (analytic) = 2.5004340102402208659430427256072
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0210084716360178656697547903916
relative error = 0.84019300449362975825014174665207 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5242
y2[1] (analytic) = 1.1342753649197364039012852457129
y2[1] (numeric) = 1.1342753648863318783662006588319
absolute error = 3.34045255350845868810e-11
relative error = 2.9450102301612058723678989574599e-09 %
h = 0.0001
y1[1] (analytic) = 2.5005205852061875288089799032504
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0210950466019845285356919680348
relative error = 0.84362619235326457179689566251732 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.1MB, time=32.13
NO POLE
NO POLE
x[1] = 0.5243
y2[1] (analytic) = 1.1343254213067967743508054913587
y2[1] (numeric) = 1.1343254212726953163257829810878
absolute error = 3.41014580250225102709e-11
relative error = 3.0063205306406701658719508579005e-09 %
h = 0.0001
y1[1] (analytic) = 2.5006071551669483437840466681318
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0211816165627453435107587329162
relative error = 0.8470589440239841524742040667851 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5244
y2[1] (analytic) = 1.1343754863506029245184031734578
y2[1] (numeric) = 1.1343754863157929413602298887613
absolute error = 3.48099831581732846965e-11
relative error = 3.0686473374138585174231190039406e-09 %
h = 0.0001
y1[1] (analytic) = 2.50069372012163761126135628684
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0212681815174346109880683516244
relative error = 0.850491259537377241703172826767 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5245
y2[1] (analytic) = 1.1344255600506542039664339990323
y2[1] (numeric) = 1.1344255600151239587955551482765
absolute error = 3.55302451708788507558e-11
relative error = 3.1320032289551338610503246823608e-09 %
h = 0.0001
y1[1] (analytic) = 2.5007802800693896816947374592242
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0213547414651866814214495240086
relative error = 0.85392313892502970606564984378838 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5246
y2[1] (analytic) = 1.1344756424064498756948024544357
y2[1] (numeric) = 1.1344756423701874861995163370202
absolute error = 3.62623894952861174155e-11
relative error = 3.1964008868772477341633275336047e-09 %
h = 0.0001
y1[1] (analytic) = 2.5008668350093389556073908138482
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0214412964051359553341028786326
relative error = 0.85735458221852453692407655323762 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.1MB, time=32.71
NO POLE
NO POLE
x[1] = 0.5247
y2[1] (analytic) = 1.134525733417489116145969175349
y2[1] (numeric) = 1.134525733380482553381614843342
absolute error = 3.70065627643543320070e-11
relative error = 3.2618530963489790094582825291060e-09 %
h = 0.0001
y1[1] (analytic) = 2.5009533849406198836005449027514
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0215278463364168833272569675358
relative error = 0.86078558944944185004159051053822 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5248
y2[1] (analytic) = 1.1345758330832710152099591823525
y2[1] (numeric) = 1.1345758330455081023930958665541
absolute error = 3.77629128168633157984e-11
relative error = 3.3283727465127265779163878303913e-09 %
h = 0.0001
y1[1] (analytic) = 2.5010399298623669663621116954295
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0216143912581639660888237602139
relative error = 0.86421616064935888520237896232426 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5249
y2[1] (analytic) = 1.134625941403294576229370982021
y2[1] (numeric) = 1.1346259413647629875269484169315
absolute error = 3.85315887024225650895e-11
relative error = 3.3959728309020559271920419050019e-09 %
h = 0.0001
y1[1] (analytic) = 2.5011264697737147546753415719478
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0217009311695117544020536367322
relative error = 0.86764629584985000583228330213903 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.525
y2[1] (analytic) = 1.1346760583770587160043865334936
y2[1] (numeric) = 1.134676058337745975317905315712
absolute error = 3.93127406864812177816e-11
relative error = 3.4646664478591995601503485584643e-09 %
h = 0.0001
y1[1] (analytic) = 2.5012130046737978494274778151016
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.021787466069594849154189879886
relative error = 0.87107599508248669861965431007077 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.1MB, time=33.27
NO POLE
NO POLE
x[1] = 0.5251
y2[1] (analytic) = 1.1347261840040622647977820804682
y2[1] (numeric) = 1.134726183963955744542443195096
absolute error = 4.01065202553388853722e-11
relative error = 3.5344668009525111982042367061834e-09 %
h = 0.0001
y1[1] (analytic) = 2.5012995345617509016184106015367
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0218739959575479013451226663211
relative error = 0.87450525837883757313645807571117 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5252
y2[1] (analytic) = 1.1347763182838039663399398485691
y2[1] (numeric) = 1.1347763182428908862187824982467
absolute error = 4.09130801211573503224e-11
relative error = 3.6053871993938737139390769919874e-09 %
h = 0.0001
y1[1] (analytic) = 2.5013860594367086123693304917431
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0219605208325056120960425565275
relative error = 0.8779340857704683614596325038571 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5253
y2[1] (analytic) = 1.134826461215782477833860608039
y2[1] (numeric) = 1.1348264611740499036068874792901
absolute error = 4.17325742269731287489e-11
relative error = 3.6774410584560607379143375308365e-09 %
h = 0.0001
y1[1] (analytic) = 2.501472579297805732931381418836
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0220470406936027326580934836204
relative error = 0.88136247728894191779269430244675 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5254
y2[1] (analytic) = 1.1348766127994963699601771017051
y2[1] (numeric) = 1.1348766127569312122084662033147
absolute error = 4.25651577517108983904e-11
relative error = 3.7506418998900518843870240496601e-09 %
h = 0.0001
y1[1] (analytic) = 2.5015590941441770646943131760372
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0221335555399740644210252408216
relative error = 0.88479043296581821808759635221257 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.1MB, time=33.85
NO POLE
NO POLE
x[1] = 0.5255
y2[1] (analytic) = 1.1349267730344441268821683381684
y2[1] (numeric) = 1.134926772991033139766970546372
absolute error = 4.34109871151977917964e-11
relative error = 3.8250033523423015405833610727428e-09 %
h = 0.0001
y1[1] (analytic) = 2.5016456039749574591951334027701
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0222200653707544589218454675545
relative error = 0.88821795283265435966683535756852 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5256
y2[1] (analytic) = 1.1349769419201241462507747501666
y2[1] (numeric) = 1.134976941875853926267596195476
absolute error = 4.42702199831785546906e-11
relative error = 3.9005391517719611645555917205348e-09 %
h = 0.0001
y1[1] (analytic) = 2.501732108789281818126759069283
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0223065701850788178534711340674
relative error = 0.89164503692100456084580967833923 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5257
y2[1] (analytic) = 1.1350271194560347392096142180609
y2[1] (numeric) = 1.1350271194108917239372826486036
absolute error = 4.51430152723315694573e-11
relative error = 3.9772631418680550363662197621447e-09 %
h = 0.0001
y1[1] (analytic) = 2.5018186085862850933466674597118
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0223930699820820930733795244962
relative error = 0.89507168526242016055542724182736 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5258
y2[1] (analytic) = 1.1350773056416741303999989583955
y2[1] (numeric) = 1.1350773055956445972447132146943
absolute error = 4.60295331552857437012e-11
relative error = 4.0551892744666094075585765574546e-09 %
h = 0.0001
y1[1] (analytic) = 2.5019051033651022868855466534991
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0224795647608992866122587182835
relative error = 0.89849789788844961796496343497968 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=236.5MB, alloc=4.1MB, time=34.41
x[1] = 0.5259
y2[1] (analytic) = 1.1351275004765404579659532774799
y2[1] (numeric) = 1.1351275004296105229003150136505
absolute error = 4.69299350656382638294e-11
relative error = 4.1343316099677349937719407220563e-09 %
h = 0.0001
y1[1] (analytic) = 2.5019915931248684509559455050793
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0225660545206654506826575698637
relative error = 0.90192367483063851210516887615064 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.526
y2[1] (analytic) = 1.135177703960131773559232189945
y2[1] (numeric) = 1.1351777039122873898562589763371
absolute error = 4.78443837029732136079e-11
relative error = 4.2147043177526627557081097877267e-09 %
h = 0.0001
y1[1] (analytic) = 2.5020780778647186879609231217462
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0226525392605156876876351865306
relative error = 0.90534901612052954149162696626603 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5261
y2[1] (analytic) = 1.1352279160919460423443409022212
y2[1] (numeric) = 1.1352279160431729993064598445819
absolute error = 4.87730430378810576393e-11
relative error = 4.2963216766007329132032719603934e-09 %
h = 0.0001
y1[1] (analytic) = 2.5021645575837881505026978396152
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0227390189795851502294099043996
relative error = 0.90877392178966252374836111904622 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5262
y2[1] (analytic) = 1.135278136871481143003555160889
y2[1] (numeric) = 1.1352781368217650646865761711753
absolute error = 4.97160783169789897137e-11
relative error = 4.3791980751063371376662896562657e-09 %
h = 0.0001
y1[1] (analytic) = 2.5022510322812120413912956975938
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0228254936770090411180077623782
relative error = 0.91219839186957439523169157004268 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5263
y2[1] (analytic) = 1.1353283662982348677419424658523
y2[1] (numeric) = 1.1353283662475612116740103198706
absolute error = 5.06736560679321459817e-11
relative error = 4.4633480120958138679117113945123e-09 %
h = 0.0001
y1[1] (analytic) = 2.5023375019561256136531984092745
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0229119633519226133799104740589
relative error = 0.91562242639179921065434166428816 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.1MB, time=34.97
NO POLE
NO POLE
x[1] = 0.5264
y2[1] (analytic) = 1.1353786043717049222923841482833
y2[1] (numeric) = 1.1353786043200589781879084653837
absolute error = 5.16459441044756828996e-11
relative error = 4.5487860970442966945618717312871e-09 %
h = 0.0001
y1[1] (analytic) = 2.5024239666076641705399908326621
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0229984280034611702667028974465
relative error = 0.91904602538786814270979352230869 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5265
y2[1] (analytic) = 1.1354288510913889259205983132897
y2[1] (numeric) = 1.1354288510387558143891605933932
absolute error = 5.26331115314377198965e-11
relative error = 4.6355270504925157581975252101645e-09 %
h = 0.0001
y1[1] (analytic) = 2.5025104262349630655370079376515
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0230848876307600652637200024359
relative error = 0.92246918888930948169689298443883 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5266
y2[1] (analytic) = 1.1354791064567844114301636472533
y2[1] (numeric) = 1.1354791064031490826804005005405
absolute error = 5.36353287497631467128e-11
relative error = 4.7235857044635521064591755027306e-09 %
h = 0.0001
y1[1] (analytic) = 2.5025968808371577023719812711662
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0231713422329547020986933359506
relative error = 0.92589191692764863514470373317878 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5267
y2[1] (analytic) = 1.13552937046738882516754408979
y2[1] (numeric) = 1.1355293704127360577060057944298
absolute error = 5.46527674615382953602e-11
relative error = 4.8129770028795449553944360026864e-09 %
h = 0.0001
y1[1] (analytic) = 2.5026833304133835350236849198747
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0232577918091805347503969846591
relative error = 0.92931420953440812743761049363999 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.1MB, time=35.53
NO POLE
NO POLE
x[1] = 0.5268
y2[1] (analytic) = 1.1355796431226995270271143702807
y2[1] (numeric) = 1.1355796430670139263520978936279
absolute error = 5.56856006750164766528e-11
relative error = 4.9037160019783518003430464792413e-09 %
h = 0.0001
y1[1] (analytic) = 2.5027697749627760677305809703949
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0233442363585730674572930351793
relative error = 0.93273606674110759944067121187578 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5269
y2[1] (analytic) = 1.1356299244222137904561864089239
y2[1] (numeric) = 1.1356299243654797877465420276643
absolute error = 5.67340027096443812596e-11
relative error = 4.9958178707301613217531456197741e-09 %
h = 0.0001
y1[1] (analytic) = 2.5028562144844708549994644669024
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0234306758802678547261765316868
relative error = 0.93615748857926380812521811115384 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.527
y2[1] (analytic) = 1.1356802143654288024600365822581
y2[1] (numeric) = 1.1356802143076306532589472370314
absolute error = 5.77981492010893452267e-11
relative error = 5.0892978912540590311866080662477e-09 %
h = 0.0001
y1[1] (analytic) = 2.5029426489776035016141078660558
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0235171103734005013408199308402
relative error = 0.9395784750803906261947075261474 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5271
y2[1] (analytic) = 1.1357305129518416636069338531047
y2[1] (numeric) = 1.1357305128929634465006663731841
absolute error = 5.88782171062674799206e-11
relative error = 5.1841714592345456030845847762185e-09 %
h = 0.0001
y1[1] (analytic) = 2.5030290784413096626439049891511
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0236035398371066623706170539355
relative error = 0.94299902627599904171081841501345 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.1MB, time=36.10
NO POLE
NO POLE
x[1] = 0.5272
y2[1] (analytic) = 1.1357808201809493880331687648814
y2[1] (numeric) = 1.1357808201209750033247960985403
absolute error = 5.99743847083726663411e-11
relative error = 5.2804540843380078376493370936196e-09 %
h = 0.0001
y1[1] (analytic) = 2.5031155028747250434525144714209
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0236899642705220431792265362053
relative error = 0.94641914219759715771979944949928 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5273
y2[1] (analytic) = 1.135831136052248903448083300235
y2[1] (numeric) = 1.1358311359911620718261768864804
absolute error = 6.10868316219064137546e-11
relative error = 5.3781613906291422004413238193590e-09 %
h = 0.0001
y1[1] (analytic) = 2.5032019222769853997065027083907
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0237763836727823994332147731751
relative error = 0.94983882287669019187906458311515 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5274
y2[1] (analytic) = 1.1358814605652370511391016039436
y2[1] (numeric) = 1.1358814605030213123413930213476
absolute error = 6.22157387977085825960e-11
relative error = 5.4773091169873308841019067282260e-09 %
h = 0.0001
y1[1] (analytic) = 2.5032883366472265373839862992059
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0238627980430235371106983639903
relative error = 0.95325806834478047608403699749314 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5275
y2[1] (analytic) = 1.1359317937194105859767615700385
y2[1] (numeric) = 1.1359317936560492974487725984479
absolute error = 6.33612885279889715906e-11
relative error = 5.5779131175229703379341324449038e-09 %
h = 0.0001
y1[1] (analytic) = 2.5033747459845843127832739868435
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0239492073803813125099860516279
relative error = 0.95667687863336745609524132709868 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.1MB, time=36.67
NO POLE
NO POLE
x[1] = 0.5276
y2[1] (analytic) = 1.1359821355142661764197472930943
y2[1] (numeric) = 1.1359821354497425119683875240499
absolute error = 6.45236644513597690444e-11
relative error = 5.6799893619937522108502464742839e-09 %
h = 0.0001
y1[1] (analytic) = 2.5034611502881946325315080951216
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.024035611683991632258220159906
relative error = 0.96009525377394769116564406245673 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5277
y2[1] (analytic) = 1.1360324859493004045199223836383
y2[1] (numeric) = 1.1360324858835973529620535153851
absolute error = 6.57030515578688682532e-11
relative error = 5.7835539362208966534110276126954e-09 %
h = 0.0001
y1[1] (analytic) = 2.5035475495571934535933054624211
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0241220109529904533200175272055
relative error = 0.96351319379801485366824203213651 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5278
y2[1] (analytic) = 1.1360828450240097659273641476272
y2[1] (numeric) = 1.1360828449571101297333301006475
absolute error = 6.68996361940340469797e-11
relative error = 5.8886230425053379246167245282834e-09 %
h = 0.0001
y1[1] (analytic) = 2.503633943790716783279397872032
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0242084051865137830061099368164
relative error = 0.96693069873705972872389886369065 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5279
y2[1] (analytic) = 1.1361332127378906698953986299423
y2[1] (numeric) = 1.1361332126697770638275206189941
absolute error = 6.81136060678780109482e-11
relative error = 5.9952130000438622491849414830358e-09 %
h = 0.0001
y1[1] (analytic) = 2.5037203329879006792552719790393
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0242947943836976789819840438237
relative error = 0.97034776862257021382942932387789 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=255.5MB, alloc=4.1MB, time=37.23
x[1] = 0.528
y2[1] (analytic) = 1.1361835890904394392856365218521
y2[1] (numeric) = 1.1361835890210942890316722205444
absolute error = 6.93451502539643013077e-11
relative error = 6.1033402453451978711967833781347e-09 %
h = 0.0001
y1[1] (analytic) = 2.5038067171478812495498087336605
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0243811785436782492765207984449
relative error = 0.97376440348603131848593143841097 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5281
y2[1] (analytic) = 1.136233974081152310573009932392
y2[1] (numeric) = 1.1362339740105578513745758663807
absolute error = 7.05944591984340660113e-11
relative error = 6.2130213326460572497776510844048e-09 %
h = 0.0001
y1[1] (analytic) = 2.5038930962697946525639223009498
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0244675576655916522906343657342
relative error = 0.97718060335892516382736629162441 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5282
y2[1] (analytic) = 1.1362843677095254338508100236108
y2[1] (numeric) = 1.136284367637663709126766328548
absolute error = 7.18617247240436950628e-11
relative error = 6.3242729343271313427834977560574e-09 %
h = 0.0001
y1[1] (analytic) = 2.5039794703527770970791984767818
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0245539317485740968059105415662
relative error = 0.98059636827273098224938540639678 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5283
y2[1] (analytic) = 1.1363347699750548728357255096334
y2[1] (numeric) = 1.1363347699019077328005221900541
absolute error = 7.31471400352033195793e-11
relative error = 6.4371118413290359243188606444620e-09 %
h = 0.0001
y1[1] (analytic) = 2.5040658393959648422665326000284
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0246403007917618419932446648128
relative error = 0.98401169825892511703840560472849 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5284
y2[1] (analytic) = 1.1363851808772366048728820194899
y2[1] (numeric) = 1.1363851808027857051498658448696
absolute error = 7.44508997230161746203e-11
relative error = 6.5515549635682098821029550150120e-09 %
h = 0.0001
y1[1] (analytic) = 2.5041522033984941976947669608425
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0247266647942911974214790256269
relative error = 0.98742659334898102200093124940272 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.1MB, time=37.79
NO POLE
NO POLE
x[1] = 0.5285
y2[1] (analytic) = 1.1364356004155665209408823236602
y2[1] (numeric) = 1.1364356003397933211705634979276
absolute error = 7.57731997703188257326e-11
relative error = 6.6676193303527654406348461141442e-09 %
h = 0.0001
y1[1] (analytic) = 2.5042385623595015233393277049626
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.024813023755298523066039769747
relative error = 0.99084105357436926109312376720782 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5286
y2[1] (analytic) = 1.1364860285895404256568474242835
y2[1] (numeric) = 1.1364860285124261881001251651241
absolute error = 7.71142375567222591594e-11
relative error = 6.7853220907982902560698845959666e-09 %
h = 0.0001
y1[1] (analytic) = 2.5043249162781232295908612339513
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0248993776739202293175732987357
relative error = 0.99425507896655750805061835418653 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5287
y2[1] (analytic) = 1.1365364653986540372814585089831
y2[1] (numeric) = 1.1365364653201798254178046733178
absolute error = 7.84742118636538356653e-11
relative error = 6.9046805142436013290503364942293e-09 %
h = 0.0001
y1[1] (analytic) = 2.5044112651534957772638701012815
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0249857265492927769905821660659
relative error = 0.99766866955701054601858776344 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5288
y2[1] (analytic) = 1.1365869108424029877239997682555
y2[1] (numeric) = 1.1365869107625496648445996603301
absolute error = 7.98533228794001079254e-11
relative error = 7.0257119906664506814654868514832e-09 %
h = 0.0001
y1[1] (analytic) = 2.5044976089847556776053484041843
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0250720703805526773320604689687
relative error = 1.0010818253771902671820530760528 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.1MB, time=38.36
NO POLE
NO POLE
x[1] = 0.5289
y2[1] (analytic) = 1.1366373649202828225474020763729
y2[1] (numeric) = 1.1366373648390310503432515749451
absolute error = 8.12517722041505014278e-11
relative error = 7.1484340310991827432536704043335e-09 %
h = 0.0001
y1[1] (analytic) = 2.5045839477710394923034166711719
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0251584091668364920301287359563
relative error = 1.0044945464585556723964413557087 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.529
y2[1] (analytic) = 1.1366878276317890009732875357502
y2[1] (numeric) = 1.1366878275491192381182456769097
absolute error = 8.26697628550418588405e-11
relative error = 7.2728642680443433955486040312625e-09 %
h = 0.0001
y1[1] (analytic) = 2.504670281511483833495956245149
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0252447429072808332226683099334
relative error = 1.0079068328325628708183900876048 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5291
y2[1] (analytic) = 1.1367382989764168958870148847243
y2[1] (numeric) = 1.1367382988923093966158110369335
absolute error = 8.41074992712038477908e-11
relative error = 7.3990204558902406162575913492418e-09 %
h = 0.0001
y1[1] (analytic) = 2.5047566102052253637792431620271
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0253310716010223635059552268115
relative error = 1.0113186845306650795367983023388 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5292
y2[1] (analytic) = 1.1367887789536617938427257686964
y2[1] (numeric) = 1.1367887788680966065239205366888
absolute error = 8.55651873188052320076e-11
relative error = 7.5269204713264566744018970245656e-09 %
h = 0.0001
y1[1] (analytic) = 2.5048429338514007962165815247542
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0254173952471977959432935895386
relative error = 1.0147301015843126232041242853993 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.1MB, time=38.92
NO POLE
NO POLE
x[1] = 0.5293
y2[1] (analytic) = 1.1368392675630188950683918745862
y2[1] (numeric) = 1.1368392674759758607722908688106
absolute error = 8.70430342961010057756e-11
relative error = 7.6565823137593118194667715907475e-09 %
h = 0.0001
y1[1] (analytic) = 2.5049292524491468943469363726748
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0255037138449438940736484374592
relative error = 1.0181410840249529336679297730138 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5294
y2[1] (analytic) = 1.1368897648039833134708629285482
y2[1] (numeric) = 1.1368897647154420645323825368968
absolute error = 8.85412489384803916514e-11
relative error = 7.7880241057272794121369429320737e-09 %
h = 0.0001
y1[1] (analytic) = 2.505015565997600472193566046133
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0255900273933974719202781109174
relative error = 1.0215516318840305496026705350589 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5295
y2[1] (analytic) = 1.136940270676050076640915556899
y2[1] (numeric) = 1.1369402705859900352173998555078
absolute error = 9.00600414235157013912e-11
relative error = 7.9212640933163524428073494584596e-09 %
h = 0.0001
y1[1] (analytic) = 2.5051018744958983942726540462327
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0256763358916953939993661110171
relative error = 1.0249617451929871161417332458121 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5296
y2[1] (analytic) = 1.1369907851787141258583030102051
y2[1] (numeric) = 1.1369907850871145024822909501669
absolute error = 9.15996233760120600382e-11
relative error = 8.0563206465753613841585231330949e-09 %
h = 0.0001
y1[1] (analytic) = 2.5051881779431775756019403896687
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0257626393389745753286524544531
relative error = 1.0283714239832613845097185433509 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=270.8MB, alloc=4.1MB, time=39.49
NO POLE
NO POLE
x[1] = 0.5297
y2[1] (analytic) = 1.1370413083114703160968057504814
y2[1] (numeric) = 1.1370413082183101082237477573601
absolute error = 9.31602078730579931213e-11
relative error = 8.1932122599312433244342530445600e-09 %
h = 0.0001
y1[1] (analytic) = 2.5052744763385749817093524585418
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0258489377343719814360645233262
relative error = 1.0317806682862892116549701784048 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5298
y2[1] (analytic) = 1.1370918400738134160292829014489
y2[1] (numeric) = 1.137091839979071406580206024536
absolute error = 9.47420094490768769129e-11
relative error = 8.3319575526042623277652716332378e-09 %
h = 0.0001
y1[1] (analytic) = 2.5053607696812276286416353450725
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0259352310770246283683474098569
relative error = 1.0351894781335035598823501535575 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5299
y2[1] (analytic) = 1.1371423804652381080327245618024
y2[1] (numeric) = 1.1371423803688928639318453101061
absolute error = 9.63452441008792516963e-11
relative error = 8.4725752690231809681605595995945e-09 %
h = 0.0001
y1[1] (analytic) = 2.5054470579702725829729816911268
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0260215193660695826996937559112
relative error = 1.0385978535563344964862597536838 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.53
y2[1] (analytic) = 1.1371929294852389881933049814358
y2[1] (numeric) = 1.1371929293872688589005889834445
absolute error = 9.79701292927159979913e-11
relative error = 8.6150842792403829836611202193022e-09 %
h = 0.0001
y1[1] (analytic) = 2.5055333412048469618136610224661
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0261078026006439615403730872505
relative error = 1.042005794586209193383906368475 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=274.6MB, alloc=4.1MB, time=40.05
x[1] = 0.5301
y2[1] (analytic) = 1.1372434871333105663114366005765
y2[1] (numeric) = 1.1372434870336936823501042248881
absolute error = 9.96168839613323756884e-11
relative error = 8.7595035793469469973497439497069e-09 %
h = 0.0001
y1[1] (analytic) = 2.5056196193840879328186485776383
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0261940807798849325453606424227
relative error = 1.0454133012545519267488160081421 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5302
y2[1] (analytic) = 1.1372940534089472659068249517769
y2[1] (numeric) = 1.1372940533076615373858020257365
absolute error = 1.012857285210229260404e-10
relative error = 8.9058522918876712518099363342314e-09 %
h = 0.0001
y1[1] (analytic) = 2.5057058925071327141962536314202
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0262803539029297139229656962046
relative error = 1.0488203735927840766445914131371 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5303
y2[1] (analytic) = 1.1373446283116434242235244247134
y2[1] (numeric) = 1.1373446282086665393548371882521
absolute error = 1.029768848686872364613e-10
relative error = 9.0541496662760493037642861846433e-09 %
h = 0.0001
y1[1] (analytic) = 2.5057921605731185747167473127276
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.026366621968915574443459377512
relative error = 1.0522270116323241266589156590132 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5304
y2[1] (analytic) = 1.1373952118408932922349948937413
y2[1] (numeric) = 1.1373952117362027158461083256599
absolute error = 1.046905763888865680814e-10
relative error = 9.2044150792091966255749843748510e-09 %
h = 0.0001
y1[1] (analytic) = 2.5058784235811828337209899169052
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0264528849769798334477019816896
relative error = 1.0556332154045876635378011574073 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5305
y2[1] (analytic) = 1.1374458039961910346491592081562
y2[1] (numeric) = 1.1374458038897640066902578621477
absolute error = 1.064270279589013460085e-10
relative error = 9.3566680350827280604175051365653e-09 %
h = 0.0001
y1[1] (analytic) = 2.5059646815304628611290577123109
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0265391429262598608557697770953
relative error = 1.0590389849409873768200839542529 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.1MB, time=40.61
NO POLE
NO POLE
x[1] = 0.5306
y2[1] (analytic) = 1.1374964047770307299134615451103
y2[1] (numeric) = 1.137496404668844263959672032866
absolute error = 1.081864659537895122443e-10
relative error = 9.5109281664055860779084862952170e-09 %
h = 0.0001
y1[1] (analytic) = 2.5060509344200960774488692411078
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0266253958158930771755813058922
relative error = 1.0624443202729330584721632263169 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5307
y2[1] (analytic) = 1.1375470141829063702199266251343
y2[1] (numeric) = 1.1375470140729372519684808839281
absolute error = 1.099691182514457412062e-10
relative error = 9.6672152342148197771059240752027e-09 %
h = 0.0001
y1[1] (analytic) = 2.5061371822492199537848111141777
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0267116436450169535115231789621
relative error = 1.0658492214318316025229858771985 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5308
y2[1] (analytic) = 1.1375976322133118615102197902122
y2[1] (numeric) = 1.1375976321015366472725582724099
absolute error = 1.117752142376615178023e-10
relative error = 9.8255491284903145836291730788629e-09 %
h = 0.0001
y1[1] (analytic) = 2.5062234250169720118463633000704
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0267978864127690115730753648548
relative error = 1.0692536884490870046992761339816 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5309
y2[1] (analytic) = 1.1376482588677410234807079443612
y2[1] (numeric) = 1.1376482587541360386695218663502
absolute error = 1.136049848111860780110e-10
relative error = 9.9859498685694725880031056805800e-09 %
h = 0.0001
y1[1] (analytic) = 2.5063096627224898239567239079014
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0268841241182868236834359726858
relative error = 1.0726577213561003620610100456964 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.1MB, time=41.18
NO POLE
NO POLE
x[1] = 0.531
y2[1] (analytic) = 1.1376988941456875895875213566629
y2[1] (numeric) = 1.1376988940302289271987331447504
absolute error = 1.154586623887882119125e-10
relative error = 1.0148437603561843472010717611996e-08 %
h = 0.0001
y1[1] (analytic) = 2.5063958953649110130614334641129
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0269703567607080127881455288973
relative error = 1.0760613201842698726371347848636 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5311
y2[1] (analytic) = 1.1377495380466452070516163266988
y2[1] (numeric) = 1.1377495379293087261412973975746
absolute error = 1.173364809103189291242e-10
relative error = 1.0313032612763705970292000445825e-08 %
h = 0.0001
y1[1] (analytic) = 2.5064821229433732527369986830109
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0270565843391702524637107477953
relative error = 1.0794644849649908350615326533462 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5312
y2[1] (analytic) = 1.1378001905701074368638387123358
y2[1] (numeric) = 1.1378001904508687610200637257498
absolute error = 1.192386758437749865860e-10
relative error = 1.0479755306072599813939859300805e-08 %
h = 0.0001
y1[1] (analytic) = 2.5065683454570142671995157309935
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0271428068528112669262277957779
relative error = 1.082867215729655648209229693853 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5313
y2[1] (analytic) = 1.1378508517155677537899883198135
y2[1] (numeric) = 1.1378508515944022695996250411655
absolute error = 1.211654841903632786480e-10
relative error = 1.0648626224401808103455585557176e-08 %
h = 0.0001
y1[1] (analytic) = 2.5066545629049718313132929843823
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0272290243007688310400050491667
relative error = 1.086269512509653810832848808342 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.1MB, time=41.75
NO POLE
NO POLE
x[1] = 0.5314
y2[1] (analytic) = 1.1379015214825195463758841560826
y2[1] (numeric) = 1.1379015213594024018863180666741
absolute error = 1.231171444895660894085e-10
relative error = 1.0819666040094790058062417394064e-08 %
h = 0.0001
y1[1] (analytic) = 2.5067407752863837705994732807722
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0273152366821807703261853455566
relative error = 1.0896713753363719211993072847384 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5315
y2[1] (analytic) = 1.137952199870456116952430543342
y2[1] (numeric) = 1.1379521997453622201282233360907
absolute error = 1.250938968242072072513e-10
relative error = 1.0992895557339564088512806030266e-08 %
h = 0.0001
y1[1] (analytic) = 2.5068269826003879612446556638129
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0274014439961849609713677285973
relative error = 1.0930728042411936767267586333313 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5316
y2[1] (analytic) = 1.1380028868788706816406840957254
y2[1] (numeric) = 1.1380028867517746988151651941931
absolute error = 1.270959828255189015323e-10
relative error = 1.1168335712583041140653264825630e-08 %
h = 0.0001
y1[1] (analytic) = 2.5069131848461223301095166213358
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0274876462419193298362286861202
relative error = 1.0964737992554998736217786342611 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5317
y2[1] (analytic) = 1.138053582507256370356921558087
y2[1] (numeric) = 1.1380535823781327246787117967218
absolute error = 1.291236456782097613652e-10
relative error = 1.1346007574945308257033459504800e-08 %
h = 0.0001
y1[1] (analytic) = 2.5069993820227248547374308167398
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0275738434185218544641428815242
relative error = 1.099874360410668406516795497531 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.1MB, time=42.31
NO POLE
NO POLE
x[1] = 0.5318
y2[1] (analytic) = 1.1381042867551062268177085068342
y2[1] (numeric) = 1.1381042866239290966921751103801
absolute error = 1.311771301255333964541e-10
relative error = 1.1525932346633862303710828396795e-08 %
h = 0.0001
y1[1] (analytic) = 2.5070855741293335633630913135505
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0276600355251305630898033783349
relative error = 1.1032744877380742681077640370474 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5319
y2[1] (analytic) = 1.1381549996219132085449689127576
y2[1] (numeric) = 1.138154999488656526070610912834
absolute error = 1.332566824743579999236e-10
relative error = 1.1708131363357793809688458066072e-08 %
h = 0.0001
y1[1] (analytic) = 2.5071717611650865349211292930662
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0277462225608835346478413578506
relative error = 1.1066741812690895487920837601789 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.532
y2[1] (analytic) = 1.138205721107170186871055565808
y2[1] (numeric) = 1.1382057209718076362708187927122
absolute error = 1.353625506002367730958e-10
relative error = 1.1892626094741920866358847415121e-08 %
h = 0.0001
y1[1] (analytic) = 2.5072579431291218990547332650042
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0278324045249188987814453297886
relative error = 1.1100734410350834363067607743614 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5321
y2[1] (analytic) = 1.1382564512103699469438213617681
y2[1] (numeric) = 1.1382564510728749629913421496061
absolute error = 1.374949839524792121620e-10
relative error = 1.2079438144740873034226002024771e-08 %
h = 0.0001
y1[1] (analytic) = 2.5073441200205778361242677710618
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0279185814163748358509798358462
relative error = 1.1134722670674222153668134123376 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=293.7MB, alloc=4.1MB, time=42.88
x[1] = 0.5322
y2[1] (analytic) = 1.1383071899310051877316914507701
y2[1] (numeric) = 1.13830718979135095417246819407
absolute error = 1.396542335592232567001e-10
relative error = 1.2268589252053125204499844519837e-08 %
h = 0.0001
y1[1] (analytic) = 2.5074302918385925772158915813056
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.02800475323438957694260364609
relative error = 1.1168706593974692673039214776249 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5323
y2[1] (analytic) = 1.1383579372685685220287362476072
y2[1] (numeric) = 1.1383579371267279699962279476207
absolute error = 1.418405520325082999865e-10
relative error = 1.2460101290534981363003990642132e-08 %
h = 0.0001
y1[1] (analytic) = 2.5075164585823044041501753833025
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0280909199781014038768874480869
relative error = 1.120268618056585069705319011821 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5324
y2[1] (analytic) = 1.1384086932225524764597453037885
y2[1] (numeric) = 1.1384086930784982828863962427378
absolute error = 1.440541935733490610507e-10
relative error = 1.2653996269614508203825629320457e-08 %
h = 0.0001
y1[1] (analytic) = 2.5076026202508516494907189639071
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0281770816466486492174310286915
relative error = 1.1236661430761271960529304854445 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5325
y2[1] (analytic) = 1.1384594577924494914853020412869
y2[1] (numeric) = 1.1384594576461540775084917228637
absolute error = 1.462954139768103184232e-10
relative error = 1.2850296334705418540387468888454e-08 %
h = 0.0001
y1[1] (analytic) = 2.5076887768433726965527678836183
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0282632382391696962794799484027
relative error = 1.1270632344874503153627503139588 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5326
y2[1] (analytic) = 1.1385102309777519214068593479292
y2[1] (numeric) = 1.1385102308291874507697768424036
absolute error = 1.485644706370825055256e-10
relative error = 1.3049023767620904461512731213484e-08 %
h = 0.0001
y1[1] (analytic) = 2.5077749283590059794118296434197
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0283493897548029791385417082041
relative error = 1.1304598923219061918244656007314 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.1MB, time=43.45
NO POLE
NO POLE
x[1] = 0.5327
y2[1] (analytic) = 1.1385610127779520343718160343771
y2[1] (numeric) = 1.1385610126270904118192578667252
absolute error = 1.508616225525581676519e-10
relative error = 1.3250200986987420180103349395908e-08 %
h = 0.0001
y1[1] (analytic) = 2.5078610747968899829122893440173
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0284355361926869826390014088017
relative error = 1.1338561166108436844413220086679 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5328
y2[1] (analytic) = 1.1386118031925420123785941526494
y2[1] (numeric) = 1.138611803039354882047684872159
absolute error = 1.531871303309092804904e-10
relative error = 1.3453850548658414522127042994335e-08 %
h = 0.0001
y1[1] (analytic) = 2.5079472161561632426760248373888
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0285216775519602424027369021732
relative error = 1.1372519073856087466702326623193 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5329
y2[1] (analytic) = 1.138662602221013951281717176133
y2[1] (numeric) = 1.1386626020654726950875517459984
absolute error = 1.555412561941654301346e-10
relative error = 1.3659995146128013003561497697933e-08 %
h = 0.0001
y1[1] (analytic) = 2.508033352435964345111021370557
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0286078138317613448377334353414
relative error = 1.1406472646775444260621299822239 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.533
y2[1] (analytic) = 1.1387134098628598607968890410339
y2[1] (numeric) = 1.1387134097049355968130961864993
absolute error = 1.579242639837928545346e-10
relative error = 1.3868657610944649443256520086899e-08 %
h = 0.0001
y1[1] (analytic) = 2.5081194836354319274199857215036
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.028693945031228927146697786288
relative error = 1.1440421885179908639025603534242 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.1MB, time=44.02
NO POLE
NO POLE
x[1] = 0.5331
y2[1] (analytic) = 1.1387642261175716645060740492155
y2[1] (numeric) = 1.1387642259572352453402997028805
absolute error = 1.603364191657743463350e-10
relative error = 1.4079860913124647059232367895914e-08 %
h = 0.0001
y1[1] (analytic) = 2.5082056097537046776089598271341
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0287800711495016773356718919185
relative error = 1.1474366789382852948525215299069 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5332
y2[1] (analytic) = 1.138815050984641199862577632375
y2[1] (numeric) = 1.1388150508218632110268876153234
absolute error = 1.627779888356900170516e-10
relative error = 1.4293628161565748996526144656303e-08 %
h = 0.0001
y1[1] (analytic) = 2.5082917307899213344959339032108
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0288661921857183342226459679952
relative error = 1.1508307359697620465895426769959 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5333
y2[1] (analytic) = 1.1388658844635602181961279775064
y2[1] (numeric) = 1.1388658842983109764723290549722
absolute error = 1.652492417237989225342e-10
relative error = 1.4509982604460598234299398653540e-08 %
h = 0.0001
y1[1] (analytic) = 2.5083778467432206877194590561657
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0289523081390176874461711209501
relative error = 1.1542243596437525394490069535521 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5334
y2[1] (analytic) = 1.1389167265538203847179585135981
y2[1] (numeric) = 1.1389167263860699365178369639339
absolute error = 1.677504482001215496642e-10
relative error = 1.4728947629710166820083430977645e-08 %
h = 0.0001
y1[1] (analytic) = 2.5084639576127415777472593867073
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0290384190085385774739714514917
relative error = 1.1576175499915852860657165359493 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.1MB, time=44.58
NO POLE
NO POLE
x[1] = 0.5335
y2[1] (analytic) = 1.1389675772549132785258912595174
y2[1] (numeric) = 1.138967577084631398246368095278
absolute error = 1.702818802795231642394e-10
relative error = 1.4950546765337134379404070104906e-08 %
h = 0.0001
y1[1] (analytic) = 2.5085500633976228958848435851368
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0291245247934198956115556499212
relative error = 1.1610103070445858910156999858894 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5336
y2[1] (analytic) = 1.1390184365663303926094210330271
y2[1] (numeric) = 1.139018436393486580982623013037
absolute error = 1.728438116267980199901e-10
relative error = 1.5174803679899215848339253776161e-08 %
h = 0.0001
y1[1] (analytic) = 2.5086361640970035842841160182853
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0292106254928005840108280830697
relative error = 1.164402630834077050458261863991 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5337
y2[1] (analytic) = 1.139069304487563133854800520887
y2[1] (numeric) = 1.139069304312126616293046092206
absolute error = 1.754365175617544286810e-10
relative error = 1.5401742182902438377516326145162e-08 %
h = 0.0001
y1[1] (analytic) = 2.5087222597100226359519873079882
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0292967211058196356786993727726
relative error = 1.167794521391378551778274491302 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5338
y2[1] (analytic) = 1.1391201810181028230501262099866
y2[1] (numeric) = 1.1391201808400425479858255187427
absolute error = 1.780602750643006912439e-10
relative error = 1.5631386225214367355262196010909e-08 %
h = 0.0001
y1[1] (analytic) = 2.5088083502358190947589844010083
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0293828116316160944856964657927
relative error = 1.1711859787478072732287117607295 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=308.9MB, alloc=4.1MB, time=45.16
x[1] = 0.5339
y2[1] (analytic) = 1.1391710661574406948904251794606
y2[1] (numeric) = 1.1391710659767253321108932895678
absolute error = 1.807153627795318898928e-10
relative error = 1.5863759899477281498239383222073e-08 %
h = 0.0001
y1[1] (analytic) = 2.5088944356735320554478601303237
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0294688970693290551745721951081
relative error = 1.1745770029346771835734249005924 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.534
y2[1] (analytic) = 1.1392219599050678979827427537335
y2[1] (numeric) = 1.1392219597216658369599252125645
absolute error = 1.834020610228175411690e-10
relative error = 1.6098887440521296957590168961567e-08 %
h = 0.0001
y1[1] (analytic) = 2.508980516022300663642202267693
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0295549774180976633689143324774
relative error = 1.1779675939832993417301600923899 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5341
y2[1] (analytic) = 1.1392728622604754948512310164456
y2[1] (numeric) = 1.1392728620743548430663409065788
absolute error = 1.861206517848901098668e-10
relative error = 1.6336793225777440388914822213681e-08 %
h = 0.0001
y1[1] (analytic) = 2.5090665912812641158550420674123
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0296410526770611155817541321967
relative error = 1.1813577519249818964138178449903 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5342
y2[1] (analytic) = 1.1393237732231544619422381852069
y2[1] (numeric) = 1.1393237730342830432053038014195
absolute error = 1.888714187369343837874e-10
relative error = 1.6577501775690670934186897052101e-08 %
h = 0.0001
y1[1] (analytic) = 2.5091526614495616594974623011776
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.029727122845358659224174365962
relative error = 1.1847474767910300857799540274361 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5343
memory used=312.8MB, alloc=4.1MB, time=45.73
y2[1] (analytic) = 1.1393746927925956896293988471295
y2[1] (numeric) = 1.1393746926009410423937211378581
absolute error = 1.916546472356777092714e-10
relative error = 1.6821037754132851063994774550799e-08 %
h = 0.0001
y1[1] (analytic) = 2.509238726526332592887204783967
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0298131879221295926139168487514
relative error = 1.1881367686127462370685224626272 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5344
y2[1] (analytic) = 1.1394256209682899822187250550871
y2[1] (numeric) = 1.1394256207738193578902439676287
absolute error = 1.944706243284810874584e-10
relative error = 1.7067425968815666228372214678820e-08 %
h = 0.0001
y1[1] (analytic) = 2.5093247865107162652572773908559
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0298992479065132649839894556403
relative error = 1.1915256274214297662478589841224 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5345
y2[1] (analytic) = 1.1394765577497280579536982846503
y2[1] (numeric) = 1.1394765575524084191952671534283
absolute error = 1.973196387584311312220e-10
relative error = 1.7316691371703493264503533228616e-08 %
h = 0.0001
y1[1] (analytic) = 2.5094108414018520767645605646798
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0299853027976490764912726294642
relative error = 1.1949140532483771776589068583893 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5346
y2[1] (analytic) = 1.139527503136400549020362251648
y2[1] (numeric) = 1.1395275029361985680509293689165
absolute error = 2.002019809694328827315e-10
relative error = 1.7568859059426217509892693460792e-08 %
h = 0.0001
y1[1] (analytic) = 2.5094968911988794784984133144586
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.030071352594676478225125379243
relative error = 1.1983020461248820636596834748325 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5347
y2[1] (analytic) = 1.1395784571277980015524165903022
y2[1] (numeric) = 1.1395784569246800584411130987158
absolute error = 2.031179431113034915864e-10
relative error = 1.7823954273691998569169606237642e-08 %
h = 0.0001
y1[1] (analytic) = 2.5095829359009379724892787044953
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0301573972967349722159907692797
relative error = 1.2016896060822351042699882059217 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.1MB, time=46.30
NO POLE
NO POLE
x[1] = 0.5348
y2[1] (analytic) = 1.1396294197234108756363113918874
y2[1] (numeric) = 1.1396294195173430565914446384112
absolute error = 2.060678190448667534762e-10
relative error = 1.8082002401699984683308994567491e-08 %
h = 0.0001
y1[1] (analytic) = 2.5096689755071671117172888340648
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0302434369029641114440008988492
relative error = 1.2050767331517240668163513398824 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5349
y2[1] (analytic) = 1.139680390922729545316342603861
y2[1] (numeric) = 1.1396803907136776409692940945506
absolute error = 2.090519043470485093104e-10
relative error = 1.8343028976552975649410599722158e-08 %
h = 0.0001
y1[1] (analytic) = 2.5097550100167065001208693076055
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0303294714125034998475813723899
relative error = 1.2084634273646338055772239883227 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.535
y2[1] (analytic) = 1.1397313707252442985997482894172
y2[1] (numeric) = 1.1397313705131738022837753846445
absolute error = 2.120704963159729047727e-10
relative error = 1.8607059677670034240028452958339e-08 %
h = 0.0001
y1[1] (analytic) = 2.5098410394286957926053431953273
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0304155008244927923320552601117
relative error = 1.211849688752246261428408871237 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5351
y2[1] (analytic) = 1.1397823591304453374618057474091
y2[1] (numeric) = 1.1397823589153214434857462371663
absolute error = 2.151238939760595102428e-10
relative error = 1.8874120331199046070147161818867e-08 %
h = 0.0001
y1[1] (analytic) = 2.509927063742274695051534484152
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0305015251380716947782465489364
relative error = 1.2152355173458404614887318819512 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.1MB, time=46.86
NO POLE
NO POLE
x[1] = 0.5352
y2[1] (analytic) = 1.1398333561378227778509294925929
y2[1] (numeric) = 1.139833355919610379767808191552
absolute error = 2.182123980831213010409e-10
relative error = 1.9144236910429227860970185324148e-08 %
h = 0.0001
y1[1] (analytic) = 2.5100130829565829643243710188971
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0305875443523799640510830836815
relative error = 1.2186209131766925187659543344069 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5353
y2[1] (analytic) = 1.1398843617468666496937700961386
y2[1] (numeric) = 1.1398843615255303385643065982003
absolute error = 2.213363111294634979383e-10
relative error = 1.9417435536203584048698844181301e-08 %
h = 0.0001
y1[1] (analytic) = 2.51009909707076040828148693362
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0306735584665574080081989984044
relative error = 1.2220058762760756318029257954497 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5354
y2[1] (analytic) = 1.1399353759570668969003138863597
y2[1] (numeric) = 1.1399353757325709595513306184727
absolute error = 2.244959373489832678870e-10
relative error = 1.9693742477331311687354751433204e-08 %
h = 0.0001
y1[1] (analytic) = 2.5101851060839468857818245730341
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0307595674797438855085366378185
relative error = 1.2253904066752600843239774045999 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5355
y2[1] (analytic) = 1.1399863987679133773689835096089
y2[1] (numeric) = 1.1399863985402217946467132246934
absolute error = 2.276915827222702849155e-10
relative error = 1.9973184151000153594238602959040e-08 %
h = 0.0001
y1[1] (analytic) = 2.5102711099952823066942359039123
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0308455713910793064209479686967
relative error = 1.2287745044055132448815555839711 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.1MB, time=47.43
NO POLE
NO POLE
x[1] = 0.5356
y2[1] (analytic) = 1.1400374301788958629917393512899
y2[1] (numeric) = 1.1400374299479723080100312001494
absolute error = 2.309235549817081511405e-10
relative error = 2.0255787123188699686877996803525e-08 %
h = 0.0001
y1[1] (analytic) = 2.5103571088039066319060834163915
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0309315701997036316327954811759
relative error = 1.2321581694980995665030960409583 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5357
y2[1] (analytic) = 1.140088470189504039659181816933
y2[1] (numeric) = 1.1400884699553118760426051390903
absolute error = 2.341921636165766778427e-10
relative error = 2.0541578109078636460225741114250e-08 %
h = 0.0001
y1[1] (analytic) = 2.5104431025089598733318405150914
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0310175639047568730585525798758
relative error = 1.2355414019842805863381379663349 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5358
y2[1] (analytic) = 1.1401395187992275072656544732855
y2[1] (numeric) = 1.1401395185617297873874994467286
absolute error = 2.374977198781550265569e-10
relative error = 2.0830583973466944553085933772738e-08 %
h = 0.0001
y1[1] (analytic) = 2.5105290911095820939216913999629
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0311035525053790936484034647473
relative error = 1.2389242018953149253056783305078 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5359
y2[1] (analytic) = 1.1401905760075557797143480493636
y2[1] (numeric) = 1.1401905757667152429295223392393
absolute error = 2.408405367848257101243e-10
relative error = 2.1122831731178044352583718989638e-08 %
h = 0.0001
y1[1] (analytic) = 2.5106150746049134076701304367793
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0311895360007104073968425015637
relative error = 1.242306569262458287741766180626 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=328.0MB, alloc=4.1MB, time=47.99
x[1] = 0.536
y2[1] (analytic) = 1.1402416418139782849224052974161
y2[1] (numeric) = 1.1402416415697573557952258437603
absolute error = 2.442209291271794536558e-10
relative error = 2.1418348547475889585613971364893e-08 %
h = 0.0001
y1[1] (analytic) = 2.5107010529940939796245610171836
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.031275514389890979351273081968
relative error = 1.2456885041169634610473368412739 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5361
y2[1] (analytic) = 1.1402927162179843648260267137493
y2[1] (numeric) = 1.1402927159703451513529057983922
absolute error = 2.476392134731209153571e-10
relative error = 2.1717161738476008846419937264213e-08 %
h = 0.0001
y1[1] (analytic) = 2.5107870262762640258938939082078
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0313614876720610256206059729922
relative error = 1.2490700064900803153362859216102 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5362
y2[1] (analytic) = 1.1403437992190632753855771193601
y2[1] (numeric) = 1.1403437989679675672126018521983
absolute error = 2.510957081729752671618e-10
relative error = 2.2019298771557495009089798629971e-08 %
h = 0.0001
y1[1] (analytic) = 2.5108729944505638136571450911764
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0314474558463608133838571559608
relative error = 1.2524510764130558030837830317025 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5363
y2[1] (analytic) = 1.1403948908167041865906931003287
y2[1] (numeric) = 1.1403948905621134532260974652047
absolute error = 2.545907333645956351240e-10
relative error = 2.2324787265774942474264342015036e-08 %
h = 0.0001
y1[1] (analytic) = 2.5109589575161336611720330899091
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0315334189119306608987451546935
relative error = 1.2558317139171339587748251109423 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5364
y2[1] (analytic) = 1.1404459910103961824653913079173
y2[1] (numeric) = 1.1404459907522715714869199084001
absolute error = 2.581246109784713995172e-10
relative error = 2.2633654992270332198977095385710e-08 %
h = 0.0001
y1[1] (analytic) = 2.5110449154721139377835757881367
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0316193768679109375102878529211
relative error = 1.2592119190335558985530292714205 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.1MB, time=48.55
NO POLE
NO POLE
x[1] = 0.5365
y2[1] (analytic) = 1.1404970997996282610731776183262
y2[1] (numeric) = 1.140497099537930596330340263736
absolute error = 2.616976647428373545902e-10
relative error = 2.2945929874684864458930697737071e-08 %
h = 0.0001
y1[1] (analytic) = 2.5111308683176450639326867360432
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0317053297134420636593988008276
relative error = 1.2625916917935598198696650591326 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5366
y2[1] (analytic) = 1.1405482171838893345221571520545
y2[1] (numeric) = 1.1405482169185791143333734241266
absolute error = 2.653102201887837279279e-10
relative error = 2.3261639989570739292308093728385e-08 %
h = 0.0001
y1[1] (analytic) = 2.51121681605186751116477094585
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0317912774476645108914830106344
relative error = 1.2659710322283810011329260360259 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5367
y2[1] (analytic) = 1.1405993431626682289701451528144
y2[1] (numeric) = 1.1405993428937056243147780934489
absolute error = 2.689626046553670593655e-10
relative error = 2.3580813566802884574310159987313e-08 %
h = 0.0001
y1[1] (analytic) = 2.5113027586739218021383201763547
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0318772200697188018650322411391
relative error = 1.2693499403692518013574405857996 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5368
y2[1] (analytic) = 1.1406504777354536846297787259488
y2[1] (numeric) = 1.1406504774627985373350567865425
absolute error = 2.726551472947219394063e-10
relative error = 2.3903478989990631671800798508259e-08 %
h = 0.0001
y1[1] (analytic) = 2.5113886961829485106335077063386
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.031963157578745510360219771123
relative error = 1.27272841624740165981402184646 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.1MB, time=49.11
NO POLE
NO POLE
x[1] = 0.5369
y2[1] (analytic) = 1.1407016209017343557736294363014
y2[1] (numeric) = 1.1407016206253461766964558292099
absolute error = 2.763881790771736070915e-10
relative error = 2.4229664796889338627323071837072e-08 %
h = 0.0001
y1[1] (analytic) = 2.511474628578088261560782596758
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0320490899738852612874946615424
relative error = 1.2761064598940570956796566727031 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.537
y2[1] (analytic) = 1.1407527726609988107393167654858
y2[1] (numeric) = 1.1407527723808367779429653582162
absolute error = 2.801620327963514072696e-10
relative error = 2.4559399679811960821720218392355e-08 %
h = 0.0001
y1[1] (analytic) = 2.511560555858481730969463441633
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0321350172542787306961755064174
relative error = 1.2794840713404417076877335311725 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5371
y2[1] (analytic) = 1.1408039330127355319346224285054
y2[1] (numeric) = 1.1408039327287584888603193212893
absolute error = 2.839770430743031072161e-10
relative error = 2.4892712486040569064907541714818e-08 %
h = 0.0001
y1[1] (analytic) = 2.5116464780232696460563316075464
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0322209394190666457830436723308
relative error = 1.2828612506177761737785092316255 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5372
y2[1] (analytic) = 1.1408551019564329158426055496716
y2[1] (numeric) = 1.1408551016685993694759954771198
absolute error = 2.878335463666100725518e-10
relative error = 2.5229632218237815064171117951361e-08 %
h = 0.0001
y1[1] (analytic) = 2.5117323950715927851742239616691
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0323068564673897849009360264535
relative error = 1.2862379977572782507498143972222 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.1MB, time=49.69
NO POLE
NO POLE
x[1] = 0.5373
y2[1] (analytic) = 1.1409062794915792730267186977685
y2[1] (numeric) = 1.140906279199847392059215395361
absolute error = 2.917318809675033024075e-10
relative error = 2.5570188034858344219365834837932e-08 %
h = 0.0001
y1[1] (analytic) = 2.5118183070025919778406250882247
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0323927683983889775673371530091
relative error = 1.2896143127901627739079975770352 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5374
y2[1] (analytic) = 1.1409574656176628281359247804144
y2[1] (numeric) = 1.1409574653219904411209444566289
absolute error = 2.956723870149803237855e-10
relative error = 2.5914409250560155694653562972717e-08 %
h = 0.0001
y1[1] (analytic) = 2.5119042138154081047462589933073
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0324786752112051044729710580917
relative error = 1.2929901957476416567191079039599 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5375
y2[1] (analytic) = 1.1410086603341717199098147975678
y2[1] (numeric) = 1.1410086600345163134138918525024
absolute error = 2.996554064959229450654e-10
relative error = 2.6262325336615909716208425269614e-08 %
h = 0.0001
y1[1] (analytic) = 2.511990115509182097763680297967
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0325645769049790974903923627514
relative error = 1.296365646660923890460316201253 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5376
y2[1] (analytic) = 1.1410598636405940011837264541273
y2[1] (numeric) = 1.1410598633369127179325105855229
absolute error = 3.036812832512158686044e-10
relative error = 2.6613965921324182045593169213394e-08 %
h = 0.0001
y1[1] (analytic) = 2.5120760120830549399558649194776
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.032650473478851939682576984262
relative error = 1.2997406655612155438715744409606 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.1MB, time=50.24
NO POLE
NO POLE
x[1] = 0.5377
y2[1] (analytic) = 1.1411110755364176388938636315738
y2[1] (numeric) = 1.1411110752286672759129974691947
absolute error = 3.077503629808661623791e-10
relative error = 2.6969360790420665578270548961911e-08 %
h = 0.0001
y1[1] (analytic) = 2.5121619035361676655848002406993
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0327363649319646653115123054837
relative error = 1.3031152524797197628075134574565 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5378
y2[1] (analytic) = 1.1411622960211305140824167186042
y2[1] (numeric) = 1.1411622957092675208332931279847
absolute error = 3.118629932491235906195e-10
relative error = 2.7328539887489319017078285889922e-08 %
h = 0.0001
y1[1] (analytic) = 2.5122477898676613601200747674517
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0328222512634583598467868322361
relative error = 1.3064894074476367698895788194419 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5379
y2[1] (analytic) = 1.1412135250942204219026838007055
y2[1] (numeric) = 1.1412135247782008984130819973226
absolute error = 3.160195234896018033829e-10
relative error = 2.7691533314373462570273611562586e-08 %
h = 0.0001
y1[1] (analytic) = 2.5123336710766771602474672738109
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0329081324724741599741793385953
relative error = 1.3098631304961638641584047637287 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.538
y2[1] (analytic) = 1.1412647627551750716241927086173
y2[1] (numeric) = 1.1412647624349547666137923236009
absolute error = 3.202203050104003850164e-10
relative error = 2.8058371331586820623881426203049e-08 %
h = 0.0001
y1[1] (analytic) = 2.5124195471623562538775354352446
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.032994008558153253604247500029
relative error = 1.3132364216564954207264260941613 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=347.1MB, alloc=4.1MB, time=50.79
x[1] = 0.5381
y2[1] (analytic) = 1.1413160090034820866378239256324
y2[1] (numeric) = 1.1413160086790163956385961641747
absolute error = 3.244656909992277614577e-10
relative error = 2.8429084358724511338208098519186e-08 %
h = 0.0001
y1[1] (analytic) = 2.5125054181238398801542039494992
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0330798795196368798809160142836
relative error = 1.3166092809598228904307279490677 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5382
y2[1] (analytic) = 1.1413672638386290044609343536835
y2[1] (numeric) = 1.1413672635098729679324093873619
absolute error = 3.287560365285249663216e-10
relative error = 2.8803702974873983118221762330008e-08 %
h = 0.0001
y1[1] (analytic) = 2.5125912839602693294633521451535
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0331657453560663291900642099379
relative error = 1.3199817084373347994861333406812 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5383
y2[1] (analytic) = 1.1414185272601032767424819381656
y2[1] (numeric) = 1.141418526927011578181891672443
absolute error = 3.330916985605902657226e-10
relative error = 2.9182257919025897907803210036359e-08 %
h = 0.0001
y1[1] (analytic) = 2.5126771446707859434414010777526
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.033251606066582943168113142537
relative error = 1.3233537041202167491385283699696 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5384
y2[1] (analytic) = 1.141469799267392269268151151442
y2[1] (numeric) = 1.1414697989299192333154465096615
absolute error = 3.374730359527046417805e-10
relative error = 2.9564780090484961257605179158629e-08 %
h = 0.0001
y1[1] (analytic) = 2.5127630002545311149839001134369
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0333374616503281147106121782213
relative error = 1.3267252680396514153184250203833 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5385
y2[1] (analytic) = 1.1415210798599832619654793349833
y2[1] (numeric) = 1.1415210795180828525032212002233
absolute error = 3.419004094622581347600e-10
relative error = 2.9951300549280699116657425677807e-08 %
h = 0.0001
y1[1] (analytic) = 2.5128488507106462882541129999789
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0334233121064432879808250647633
relative error = 1.3300964002268185482947614339844 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.1MB, time=51.35
NO POLE
NO POLE
x[1] = 0.5386
y2[1] (analytic) = 1.1415723690373634489089839000877
y2[1] (numeric) = 1.1415723686909892671571068562973
absolute error = 3.463741817518770437904e-10
relative error = 3.0341850516578181297466042966848e-08 %
h = 0.0001
y1[1] (analytic) = 2.5129346960382729586916034251438
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0335091574340699584183154899282
relative error = 1.3334671007128949723289395735718 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5387
y2[1] (analytic) = 1.1416236667990199383252903871314
y2[1] (numeric) = 1.141623666448125220930738401015
absolute error = 3.508947173945519861164e-10
relative error = 3.0736461375088691564825149220076e-08 %
h = 0.0001
y1[1] (analytic) = 2.5130205362365526730208200622869
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0335949976323496727475321270713
relative error = 1.3368373695290545853291001743356 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5388
y2[1] (analytic) = 1.1416749731444397525982613832985
y2[1] (numeric) = 1.1416749727889773697194945684707
absolute error = 3.554623828787668148278e-10
relative error = 3.1135164669480344298319071952089e-08 %
h = 0.0001
y1[1] (analytic) = 2.5131063713046270292596811031014
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0336808327004240289863931678858
relative error = 1.3402072067064683585046348886218 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5389
y2[1] (analytic) = 1.1417262880731098282741262987375
y2[1] (numeric) = 1.1417262877130322816604979037213
absolute error = 3.600775466136283950162e-10
relative error = 3.1537992106788647678559829472913e-08 %
h = 0.0001
y1[1] (analytic) = 2.5131922012416376767281582774322
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0337666626374346764548703422166
relative error = 1.343576612276304336020935527502 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.1MB, time=51.92
NO POLE
NO POLE
x[1] = 0.539
y2[1] (analytic) = 1.1417776115845170160666120010952
y2[1] (numeric) = 1.1417776112197764371326147627865
absolute error = 3.647405789339972383087e-10
relative error = 3.1944975556827013347411501295589e-08 %
h = 0.0001
y1[1] (analytic) = 2.5132780260467263160568603600697
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0338524874425233157835724248541
relative error = 1.346945586269727634654380302806 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5391
y2[1] (analytic) = 1.1418289436781480808620743083752
y2[1] (numeric) = 1.1418289433086962287564553126488
absolute error = 3.694518521056189957264e-10
relative error = 3.2356147052597212492300730060352e-08 %
h = 0.0001
y1[1] (analytic) = 2.5133638457190346991956161644354
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0339383071148316989223282292198
relative error = 1.3503141287179004434475569732209 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5392
y2[1] (analytic) = 1.1418802843534897017246303400693
y2[1] (numeric) = 1.1418802839792779613943735312533
absolute error = 3.742117403302568088160e-10
relative error = 3.2771538790699778304796777179290e-08 %
h = 0.0001
y1[1] (analytic) = 2.5134496602577046294220570230776
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.034024121653501629148769087862
relative error = 1.3536822396519820233647227983446 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5393
y2[1] (analytic) = 1.1419316336100284719012917265133
y2[1] (numeric) = 1.1419316332310078521504672075079
absolute error = 3.790206197508245190054e-10
relative error = 3.3191183131744354763912614154424e-08 %
h = 0.0001
y1[1] (analytic) = 2.5135354696618779613501987548872
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0341099310576749610769108196716
relative error = 1.3570499191031287069475012042869 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.1MB, time=52.50
NO POLE
NO POLE
x[1] = 0.5394
y2[1] (analytic) = 1.1419829914472508988270986764115
y2[1] (numeric) = 1.1419829910633720303705779412833
absolute error = 3.838788684565207351282e-10
relative error = 3.3615112600759991694093422003369e-08 %
h = 0.0001
y1[1] (analytic) = 2.5136212739306966009390231189507
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0341957353264936006657351837351
relative error = 1.3604171671024938979708150647169 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5395
y2[1] (analytic) = 1.1420343578646434041302549024824
y2[1] (numeric) = 1.1420343574758565376422911434127
absolute error = 3.887868664879637590697e-10
relative error = 3.4043359887605386048573586894194e-08 %
h = 0.0001
y1[1] (analytic) = 2.5137070730633025055010587549529
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0342815344590995052277708197373
relative error = 1.3637839836812280710990565011093 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5396
y2[1] (analytic) = 1.1420857328616923236372634051728
y2[1] (numeric) = 1.1420857324679473277949360356923
absolute error = 3.937449958423273694805e-10
relative error = 3.4475957847379069368254382465288e-08 %
h = 0.0001
y1[1] (analytic) = 2.5137928670588376837109616100452
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0343673284546346834376736748296
relative error = 1.3671503688704787715424931061019 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5397
y2[1] (analytic) = 1.1421371164378839073780631143877
y2[1] (numeric) = 1.1421371160391302668995856508809
absolute error = 3.987536404784774635068e-10
relative error = 3.4912939500829541366557634963752e-08 %
h = 0.0001
y1[1] (analytic) = 2.5138786559164441956140948520909
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0344531173122411953408069168753
relative error = 1.3705163227013906147139104937308 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.1MB, time=53.08
NO POLE
NO POLE
x[1] = 0.5398
y2[1] (analytic) = 1.1421885085927043195911663891873
y2[1] (numeric) = 1.1421885081888911332690568327
absolute error = 4.038131863221095564873e-10
relative error = 3.5354338034765349590821052795828e-08 %
h = 0.0001
y1[1] (analytic) = 2.5139644396352641526351082692053
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0345389010310611523618203339897
relative error = 1.3738818452051052858854910805922 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5399
y2[1] (analytic) = 1.1422399093256396387287973753972
y2[1] (numeric) = 1.1422399089167156174579102358338
absolute error = 4.089240212708871395634e-10
relative error = 3.5800186802465115110561068854584e-08 %
h = 0.0001
y1[1] (analytic) = 2.5140502182144397175865171555015
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0346246796102367173132292202859
relative error = 1.3772469364127615398459290017368 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.54
y2[1] (analytic) = 1.1422913186361758574620312210822
y2[1] (numeric) = 1.1422913182220893222624503259294
absolute error = 4.140865351995808951528e-10
relative error = 3.6250519324087504183267109078253e-08 %
h = 0.0001
y1[1] (analytic) = 2.5141359916531131046772806829582
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0347104530489101044039927477426
relative error = 1.3806115963554952005577810653469 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5401
y2[1] (analytic) = 1.1423427365237988826859341498308
y2[1] (numeric) = 1.1423427361044977627207253795964
absolute error = 4.193011199652087702344e-10
relative error = 3.6705369287081145848238923353432e-08 %
h = 0.0001
y1[1] (analytic) = 2.5142217599504265795213797593233
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0347962213462235792480918241077
relative error = 1.3839758250644391608150536501747 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=366.2MB, alloc=4.1MB, time=53.63
x[1] = 0.5402
y2[1] (analytic) = 1.1423941629879945355247043918009
y2[1] (numeric) = 1.1423941625634263661125274844073
absolute error = 4.245681694121769073936e-10
relative error = 3.7164770546594495399124034878000e-08 %
h = 0.0001
y1[1] (analytic) = 2.5143075231055224591463943719664
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0348819845013194588731064367508
relative error = 1.3873396225707233819010254497268 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5403
y2[1] (analytic) = 1.1424455980282485513368139724727
y2[1] (numeric) = 1.1424455975983604719593925388973
absolute error = 4.298880793774214335754e-10
relative error = 3.7628757125885643685703898880441e-08 %
h = 0.0001
y1[1] (analytic) = 2.5143932811175431120020804175962
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0349677425133401117287924823806
relative error = 1.3907029889054748932463059673205 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5404
y2[1] (analytic) = 1.1424970416440465797201513590606
y2[1] (numeric) = 1.1424970412087853320246002525643
absolute error = 4.352612476955511064963e-10
relative error = 3.8097363216732072195832851566692e-08 %
h = 0.0001
y1[1] (analytic) = 2.514479033985630957968946017756
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0350534953814279576956580825404
relative error = 1.3940659240998177920871296660574 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5405
y2[1] (analytic) = 1.1425484938348741845171649645292
y2[1] (numeric) = 1.1425484933941861103131741458689
absolute error = 4.406880742039908186603e-10
relative error = 3.8570623179840353867975321328905e-08 %
h = 0.0001
y1[1] (analytic) = 2.5145647817089284683668273200107
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0351392431047254680935393847951
relative error = 1.3974284281848732431238856778016 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5406
y2[1] (analytic) = 1.1425999546002168438200075091654
y2[1] (numeric) = 1.1425999541540478830718815502345
absolute error = 4.461689607481259589309e-10
relative error = 3.9048571545255799585404858554821e-08 %
h = 0.0001
y1[1] (analytic) = 2.5146505242865781659634637847422
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0352249856823751656901758495266
relative error = 1.4007905011917594781798829754097 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.1MB, time=54.20
NO POLE
NO POLE
x[1] = 0.5407
y2[1] (analytic) = 1.1426514239395599499756812396516
y2[1] (numeric) = 1.1426514234878556387892336080472
absolute error = 4.517043111864476316044e-10
relative error = 3.9531243012772050302591181283990e-08 %
h = 0.0001
y1[1] (analytic) = 2.5147362617177226249830729574643
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0353107231135196247097850222487
relative error = 1.4041521431515917958603509122702 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5408
y2[1] (analytic) = 1.1427029018523888095911840055921
y2[1] (numeric) = 1.1427029013950942781954852726558
absolute error = 4.572945313956987329363e-10
relative error = 4.0018672452340614754910712393370e-08 %
h = 0.0001
y1[1] (analytic) = 2.5148219940015044711149247265736
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.035396455397301470841636791358
relative error = 1.4075133540954825612116750334447 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5409
y2[1] (analytic) = 1.1427543883381886435386561934388
y2[1] (numeric) = 1.1427543878752486142626353083718
absolute error = 4.629400292760208850670e-10
relative error = 4.0510894904480352702366285254097e-08 %
h = 0.0001
y1[1] (analytic) = 2.5149077211370663815219150664494
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0354821825328633812486271312338
relative error = 1.4108741340545412053808680626005 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.541
y2[1] (analytic) = 1.1428058833964445869605285177651
y2[1] (numeric) = 1.1428058829278033722044262904695
absolute error = 4.686412147561022272956e-10
relative error = 4.1007945580686903658269625567168e-08 %
h = 0.0001
y1[1] (analytic) = 2.514993443123551084849139265818
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0355679045193480845758513306024
relative error = 1.414234483059874225275275969045 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.1MB, time=54.77
NO POLE
NO POLE
x[1] = 0.5411
y2[1] (analytic) = 1.1428573870266416892746706698375
y2[1] (numeric) = 1.1428573865522431894763446051859
absolute error = 4.743984997983260646516e-10
relative error = 4.1509859863842061053968054240366e-08 %
h = 0.0001
y1[1] (analytic) = 2.5150791599601013612324646412942
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0356536213558983609591767060786
relative error = 1.4175944011425851832225190191031 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5412
y2[1] (analytic) = 1.1429088992282649141795408234329
y2[1] (numeric) = 1.1429088987480526157756204497207
absolute error = 4.802122984039203737122e-10
relative error = 4.2016673308623091790553418702774e-08 %
h = 0.0001
y1[1] (analytic) = 2.5151648716458600423071027360159
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0357393330416570420338148008003
relative error = 1.4209538883337747066306677162267 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5413
y2[1] (analytic) = 1.1429604200007991396593359978492
y2[1] (numeric) = 1.1429604195147161130412278322364
absolute error = 4.860830266181081656128e-10
relative error = 4.2528421641912001128522879878123e-08 %
h = 0.0001
y1[1] (analytic) = 2.5152505781799700112161810032844
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0358250395757670109428930680688
relative error = 1.4243129446645404876486535341289 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5414
y2[1] (analytic) = 1.1430119493437291579891432780595
y2[1] (numeric) = 1.1430119488517180554538845718582
absolute error = 4.920111025352587062013e-10
relative error = 4.3045140763204742866664017242912e-08 %
h = 0.0001
y1[1] (analytic) = 2.5153362795615742026193139751262
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0359107409573712023460260399106
relative error = 1.4276715701659772828269143473886 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.1MB, time=55.33
NO POLE
NO POLE
x[1] = 0.5415
y2[1] (analytic) = 1.1430634872565396757400918919566
y2[1] (numeric) = 1.143063486758542729436052298674
absolute error = 4.979969463040395932826e-10
relative error = 4.3566866745020374761109555373685e-08 %
h = 0.0001
y1[1] (analytic) = 2.5154219757898156027011739156898
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0359964371856126024278859804742
relative error = 1.4310297648691769127782744639128 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5416
y2[1] (analytic) = 1.1431150337387153137845061446377
y2[1] (numeric) = 1.1431150332346743336519364537344
absolute error = 5.040409801325696909033e-10
relative error = 4.4093635833310159135862350011823e-08 %
h = 0.0001
y1[1] (analytic) = 2.5155076668638372491800609593918
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0360821282596342489067730241762
relative error = 1.4343875288052282618390591637019 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5417
y2[1] (analytic) = 1.1431665887897406073010592096766
y2[1] (numeric) = 1.1431665882795969790074862890529
absolute error = 5.101436282935729206237e-10
relative error = 4.4625484447866608635877880959866e-08 %
h = 0.0001
y1[1] (analytic) = 2.5155933527827822313164727337265
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0361678141785792310431847985109
relative error = 1.4377448620052172777304436483931 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5418
y2[1] (analytic) = 1.1432181524091000057799277773328
y2[1] (numeric) = 1.1432181518927946886503948676055
absolute error = 5.163053171295329097273e-10
relative error = 4.5162449182732477074103044075290e-08 %
h = 0.0001
y1[1] (analytic) = 2.5156790335457936899216734666541
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0362534949415906896483855314385
relative error = 1.441101764500226971220036306119 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.1MB, time=55.89
NO POLE
NO POLE
x[1] = 0.5419
y2[1] (analytic) = 1.1432697245962778730279475596455
y2[1] (numeric) = 1.143269724073751397970099063331
absolute error = 5.225264750578484963145e-10
relative error = 4.5704566806609695323604176388007e-08 %
h = 0.0001
y1[1] (analytic) = 2.5157647091520148173662625784809
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0363391705478118170929746432653
relative error = 1.4444582363213374157836961961817 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.542
y2[1] (analytic) = 1.1433213053507584871737696523608
y2[1] (numeric) = 1.143321304821950954597779561131
absolute error = 5.288075325759900912298e-10
relative error = 4.6251874263268252206185046179351e-08 %
h = 0.0001
y1[1] (analytic) = 2.5158503796005888575887427581458
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0364248409963858573154548229302
relative error = 1.4478142774996257472675846581109 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5421
y2[1] (analytic) = 1.1433728946720260406730177536412
y2[1] (numeric) = 1.1433728941368771184063608568698
absolute error = 5.351489222666568967714e-10
relative error = 4.6804408671955020328900862193560e-08 %
h = 0.0001
y1[1] (analytic) = 2.5159360448906591061040875238285
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0365105062864561058307995886129
relative error = 1.4511698880661661635504509497426 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5422
y2[1] (analytic) = 1.1434244925595646403134462395044
y2[1] (numeric) = 1.1434244920180135615105112573744
absolute error = 5.415510788029349821300e-10
relative error = 4.7362207327802526819731014916462e-08 %
h = 0.0001
y1[1] (analytic) = 2.5160217050213689100123082677928
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0365961664171659097390203325772
relative error = 1.4545250680520299242061518189102 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=385.2MB, alloc=4.1MB, time=56.45
x[1] = 0.5423
y2[1] (analytic) = 1.1434760990128583072200990959422
y2[1] (numeric) = 1.1434760984648438682666428804345
absolute error = 5.480144389534562155077e-10
relative error = 4.7925307702237668914072200968780e-08 %
h = 0.0001
y1[1] (analytic) = 2.5161073599918616680070207853786
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.036681821387658667733732850163
relative error = 1.4578798174882853501664049133754 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5424
y2[1] (analytic) = 1.1435277140313909768604697076654
y2[1] (numeric) = 1.1435277134768515352729116548026
absolute error = 5.545394415875580528628e-10
relative error = 4.8493747443390374343307844582894e-08 %
h = 0.0001
y1[1] (analytic) = 2.5161930098012808303840112880594
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0367674711970778301107233528438
relative error = 1.4612341364059978233837759337814 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5425
y2[1] (analytic) = 1.1435793376146464990496615034246
y2[1] (numeric) = 1.1435793370535199713692173201939
absolute error = 5.611265276804441832307e-10
relative error = 4.9067564376502206477134897643515e-08 %
h = 0.0001
y1[1] (analytic) = 2.516278654448769899049801900477
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0368531158445668987765139652614
relative error = 1.4645880248362297864948994342425 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5426
y2[1] (analytic) = 1.1436309697621086379555494578549
y2[1] (numeric) = 1.1436309691943324976372034272864
absolute error = 5.677761403183460305685e-10
relative error = 4.9646796504334914171142023774252e-08 %
h = 0.0001
y1[1] (analytic) = 2.5163642939334724275302156413688
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0369387553292694272569277061532
relative error = 1.4679414828100407424839331753563 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5427
y2[1] (analytic) = 1.1436826104732610721039424497927
y2[1] (numeric) = 1.1436826098987723474002573377207
absolute error = 5.744887247036851120720e-10
relative error = 5.0231482007578926271269702991868e-08 %
h = 0.0001
y1[1] (analytic) = 2.5164499282545320209789408883031
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0370243896503290207056529530875
relative error = 1.4712945103584872543462459344556 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.1MB, time=57.03
NO POLE
NO POLE
x[1] = 0.5428
y2[1] (analytic) = 1.1437342597475873943837464770136
y2[1] (numeric) = 1.1437342591663226662235102241002
absolute error = 5.812647281602362529134e-10
relative error = 5.0821659245261790726788134385535e-08 %
h = 0.0001
y1[1] (analytic) = 2.5165355574110923361860953261344
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0371100188068893359128073909188
relative error = 1.4746471075126229447523386778154 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5429
y2[1] (analytic) = 1.1437859175845711120521287273387
y2[1] (numeric) = 1.1437859169964665119138370699909
absolute error = 5.881046001382916573478e-10
relative error = 5.1417366755156558263451653522840e-08 %
h = 0.0001
y1[1] (analytic) = 2.5166211814022970815867893790958
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0371956427980940813135014438802
relative error = 1.4779992743034984957119989997551 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.543
y2[1] (analytic) = 1.1438375839836956467396825060591
y2[1] (numeric) = 1.1438375833886868545198566699218
absolute error = 5.950087922198258361373e-10
relative error = 5.2018643254190110568589908427030e-08 %
h = 0.0001
y1[1] (analytic) = 2.51670680022729001726968912644
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0372812616230870169964011912244
relative error = 1.4813510107621616482386887333922 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5431
y2[1] (analytic) = 1.143889258944444334455593019625
y2[1] (numeric) = 1.1438892583424665763319316293844
absolute error = 6.019777581236613902406e-10
relative error = 5.2625527638851432939857664828099e-08 %
h = 0.0001
y1[1] (analytic) = 2.5167924138852149549855787015462
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0373668752810119547122907663306
relative error = 1.4847023169196572020141646380555 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.1MB, time=57.60
NO POLE
NO POLE
x[1] = 0.5432
y2[1] (analytic) = 1.14394094246630042559280401555
y2[1] (numeric) = 1.143940941857288471882168364833
absolute error = 6.090119537106356507170e-10
relative error = 5.3238058985599831349492860982898e-08 %
h = 0.0001
y1[1] (analytic) = 2.5168780223752157581559221744044
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0374524837710127578826342391888
relative error = 1.4880531928070270150533320681714 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5433
y2[1] (analytic) = 1.1439926345487470849331852784775
y2[1] (numeric) = 1.1439926339326352479444171036846
absolute error = 6.161118369887681747929e-10
relative error = 5.3856276551273093875902900976790e-08 %
h = 0.0001
y1[1] (analytic) = 2.5169636256964363418814249173945
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0375380870922333416081369821789
relative error = 1.4914036384553100033693315286968 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5434
y2[1] (analytic) = 1.1440443351912673916527009823571
y2[1] (numeric) = 1.144044334567989523534271884319
absolute error = 6.232778681184290980381e-10
relative error = 5.4480219773495596454369570695870e-08 %
h = 0.0001
y1[1] (analytic) = 2.5170492238480206729505944542712
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0376236852438176726773065190556
relative error = 1.4947536538955421406388580219499 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5435
y2[1] (analytic) = 1.1440960443933443393265788986813
y2[1] (numeric) = 1.1440960437628338299090705560786
absolute error = 6.305105094175083426027e-10
relative error = 5.5109928271086352899009225160682e-08 %
h = 0.0001
y1[1] (analytic) = 2.5171348168291127698483007922726
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.037709278224909769575012857057
relative error = 1.4981032391587564578677130909925 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.1MB, time=58.17
NO POLE
NO POLE
x[1] = 0.5436
y2[1] (analytic) = 1.1441477621544608359344804607284
y2[1] (numeric) = 1.1441477615166506105678947792687
absolute error = 6.378102253665856814597e-10
relative error = 5.5745441844467009147666942216833e-08 %
h = 0.0001
y1[1] (analytic) = 2.5172204046388567027643362372638
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0377948660346537024910483020482
relative error = 1.5014523942759830430565894644851 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5437
y2[1] (analytic) = 1.1441994884740997038656716837619
y2[1] (numeric) = 1.1441994878289222212515700251572
absolute error = 6.451774826141016586047e-10
relative error = 5.6386800476069781682014352891597e-08 %
h = 0.0001
y1[1] (analytic) = 2.5173059872763965936019746918321
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0378804486721935933286867566165
relative error = 1.5048011192782490408670882081776 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5438
y2[1] (analytic) = 1.1442512233517436799241949411334
y2[1] (numeric) = 1.1442512226991309299426655759748
absolute error = 6.526127499815293651586e-10
relative error = 5.7034044330745340074680406111458e-08 %
h = 0.0001
y1[1] (analytic) = 2.5173915647408766159865304362469
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0379660261366736157132425010313
relative error = 1.5081494141965786522879682880866 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5439
y2[1] (analytic) = 1.144302966786875415334041596238
y2[1] (numeric) = 1.1443029661267589168654945249149
absolute error = 6.601164984685470713231e-10
relative error = 5.7687213756170633615625527354665e-08 %
h = 0.0001
y1[1] (analytic) = 2.5174771370314409952739163921999
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0380515984272379950006284569843
relative error = 1.5114972790619931343016284505402 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.1MB, time=58.74
NO POLE
NO POLE
x[1] = 0.544
y2[1] (analytic) = 1.1443547187789774757443254902696
y2[1] (numeric) = 1.1443547181112882744861137761336
absolute error = 6.676892012582117141360e-10
relative error = 5.8346349283256661969765209327483e-08 %
h = 0.0001
y1[1] (analytic) = 2.5175627041472340085592018692383
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0381371655430310082859139340227
relative error = 1.5148447139055107995508213241878 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5441
y2[1] (analytic) = 1.1444064793275323412344572857263
y2[1] (numeric) = 1.1444064786522010075123240447498
absolute error = 6.753313337221332409765e-10
relative error = 5.9011491626556189818169038194856e-08 %
h = 0.0001
y1[1] (analytic) = 2.5176482660873999846851697938073
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0382227274831969844118818585917
relative error = 1.5181917187581470160055996492403 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5442
y2[1] (analytic) = 1.1444582484320224063193196656111
y2[1] (numeric) = 1.144458247748979032893669856845
absolute error = 6.830433734256498087661e-10
relative error = 5.9682681684671405434799463428161e-08 %
h = 0.0001
y1[1] (analytic) = 2.517733822851083304250873420815
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0383082842468803039775854855994
relative error = 1.521538293650914206630494539113 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5443
y2[1] (analytic) = 1.1445100260919299799544433882795
y2[1] (numeric) = 1.1445100254011041798214395494635
absolute error = 6.908258001330038388160e-10
relative error = 6.0359960540661523151258084545387e-08 %
h = 0.0001
y1[1] (analytic) = 2.5178193744374283996201925276348
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0383938358332253993469045924192
relative error = 1.5248844386148218490519256797503 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=404.3MB, alloc=4.1MB, time=59.30
x[1] = 0.5444
y2[1] (analytic) = 1.1445618123067372855411841978792
y2[1] (numeric) = 1.1445618116080581897286652706124
absolute error = 6.986790958125189272668e-10
relative error = 6.1043369462450329661601858068864e-08 %
h = 0.0001
y1[1] (analytic) = 2.5179049208455797549303890904596
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.038479382241376754657101155244
relative error = 1.5282301536808764752258433719086 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5445
y2[1] (analytic) = 1.1446136070759264609319005903327
y2[1] (numeric) = 1.1446136063693227162901229792615
absolute error = 7.066037446417776110712e-10
relative error = 6.1732949903233674119760094826036e-08 %
h = 0.0001
y1[1] (analytic) = 2.5179904620746819061006624429217
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0385649234704789058273745077061
relative error = 1.5315754388800816711056023216897 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5446
y2[1] (analytic) = 1.1446654103989795584351324348094
y2[1] (numeric) = 1.1446654096843793254223324453432
absolute error = 7.146002330127999894662e-10
relative error = 6.2428743501886901981756416068571e-08 %
h = 0.0001
y1[1] (analytic) = 2.5180759981238794408407039168939
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0386504595196764405674159816783
relative error = 1.5349202942434380763100670847074 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5447
y2[1] (analytic) = 1.1447172222753785448207804506355
y2[1] (numeric) = 1.1447172215527094952835572497528
absolute error = 7.226690495372232008827e-10
relative error = 6.3130792083372232545102486469391e-08 %
h = 0.0001
y1[1] (analytic) = 2.5181615289923169986592509653857
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0387359903881139983859630301701
relative error = 1.5382647198019433837919490692383 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5448
y2[1] (analytic) = 1.144769042704605301325286539591
y2[1] (numeric) = 1.1447690419737946162738047843482
absolute error = 7.308106850514817552428e-10
relative error = 6.3839137659146080137980293689486e-08 %
h = 0.0001
y1[1] (analytic) = 2.5182470546791392708726407674483
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0388215160749362705993528322327
relative error = 1.5416087155865923395063750037273 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.1MB, time=59.86
NO POLE
NO POLE
x[1] = 0.5449
y2[1] (analytic) = 1.1448208716861416236568149735411
y2[1] (numeric) = 1.1448208709471159910348262519501
absolute error = 7.390256326219887215910e-10
relative error = 6.4553822427566318910511833980066e-08 %
h = 0.0001
y1[1] (analytic) = 2.5183325751834910006133633150044
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0389070365792880003400753797888
relative error = 1.544952281628376742079686774141 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.545
y2[1] (analytic) = 1.1448727092194692220004344373497
y2[1] (numeric) = 1.144872708472154834450116666342
absolute error = 7.473143875503177710077e-10
relative error = 6.5274888774299491180647576451144e-08 %
h = 0.0001
y1[1] (analytic) = 2.5184180905045169828386139815162
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0389925519003139825653260463006
relative error = 1.548295417958285442478472536587 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5451
y2[1] (analytic) = 1.1449245553040697210233009270249
y2[1] (numeric) = 1.1449245545483922736449148522699
absolute error = 7.556774473783860747550e-10
relative error = 6.6002379272727959287385106250675e-08 %
h = 0.0001
y1[1] (analytic) = 2.5185036006413620643388455724061
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0390780620371590640655576371905
relative error = 1.551638124607304343678829010692 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5452
y2[1] (analytic) = 1.1449764099394246598798415030428
y2[1] (numeric) = 1.1449764091753093479862034454427
absolute error = 7.641153118936380576001e-10
relative error = 6.6736336684357000903659085796834e-08 %
h = 0.0001
y1[1] (analytic) = 2.5185891055931711437463198571452
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0391635669889681434730319219296
relative error = 1.5549804016064164003358548592818 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=411.9MB, alloc=4.1MB, time=60.43
NO POLE
NO POLE
x[1] = 0.5453
y2[1] (analytic) = 1.1450282731250154922169388987993
y2[1] (numeric) = 1.145028272352387009082708892532
absolute error = 7.726284831342300062673e-10
relative error = 6.7476803959221847761781851843847e-08 %
h = 0.0001
y1[1] (analytic) = 2.5186746053590891715436585829237
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0392490667548861712703706477081
relative error = 1.5583222489866016184533750598997 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5454
y2[1] (analytic) = 1.1450801448603235861791169841364
y2[1] (numeric) = 1.1450801440791061207849014511722
absolute error = 7.812174653942155329642e-10
relative error = 6.8223824236294667743882575305967e-08 %
h = 0.0001
y1[1] (analytic) = 2.5187600999382611500723939698173
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0393345613340581497991060346017
relative error = 1.561663666778837055053896173728 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5455
y2[1] (analytic) = 1.1451320251448302244137270838932
y2[1] (numeric) = 1.1451320243549474591849951899603
absolute error = 7.898827652287318939329e-10
relative error = 6.8977440843891490290287367497914e-08 %
h = 0.0001
y1[1] (analytic) = 2.5188455893298321335415186873648
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0394200507256291332682307521492
relative error = 1.565004655014096817848792417548 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5456
y2[1] (analytic) = 1.1451839139780166040761351514276
y2[1] (numeric) = 1.145183913179391712616947988456
absolute error = 7.986248914591871629716e-10
relative error = 6.9737697300079075078351370376136e-08 %
h = 0.0001
y1[1] (analytic) = 2.5189310735329472280360353124711
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0395055349287442277627473772555
relative error = 1.5683452137233520649087224443675 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.1MB, time=60.99
NO POLE
NO POLE
x[1] = 0.5457
y2[1] (analytic) = 1.1452358113593638368349097970586
y2[1] (numeric) = 1.1452358105519194816564615371819
absolute error = 8.074443551784482598767e-10
relative error = 7.0504637313081723924704626860616e-08 %
h = 0.0001
y1[1] (analytic) = 2.5190165525467515915255052685502
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0395910139425485912522173333346
relative error = 1.571685342937571004334276738388 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5458
y2[1] (analytic) = 1.1452877172883529488770111713762
y2[1] (numeric) = 1.1452877164720112791209813376232
absolute error = 8.163416697560298337530e-10
relative error = 7.1278304781688035863695453281523e-08 %
h = 0.0001
y1[1] (analytic) = 2.519102026370390433872597245822
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0396764877661874335993093106064
relative error = 1.5750250426877188939268555299817 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5459
y2[1] (analytic) = 1.1453396317644648809129807033675
y2[1] (numeric) = 1.1453396309391475300696967022279
absolute error = 8.253173508432840011396e-10
relative error = 7.2058743795657605354855324662188e-08 %
h = 0.0001
y1[1] (analytic) = 2.5191874950030090168416351026793
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0397619563988060165683471674637
relative error = 1.5783643130047580408597771364802 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.546
y2[1] (analytic) = 1.1453915547871804881821316933069
y2[1] (numeric) = 1.1453915539528085718035407544067
absolute error = 8.343719163785909389002e-10
relative error = 7.2845998636127663572345607043468e-08 %
h = 0.0001
y1[1] (analytic) = 2.5192729584437526541071452480364
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0398474198395496538338573128208
relative error = 1.5817031539196478013496166344112 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.1MB, time=61.57
NO POLE
NO POLE
x[1] = 0.5461
y2[1] (analytic) = 1.1454434863559805404577407603588
y2[1] (numeric) = 1.1454434855124746538651904285329
absolute error = 8.435058865925503318259e-10
relative error = 7.3640113776019662729334339012732e-08 %
h = 0.0001
y1[1] (analytic) = 2.5193584166917667112624035045775
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0399328780875637109891155693619
relative error = 1.5850415654633445803277747691134 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5462
y2[1] (analytic) = 1.1454954264703457220522401448402
y2[1] (numeric) = 1.1454954256176259380390664699428
absolute error = 8.527197840131736748974e-10
relative error = 7.4441133880445803390186772606624e-08 %
h = 0.0001
y1[1] (analytic) = 2.5194438697461966058279814528167
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0400183311419936055546935176011
relative error = 1.5883795476668018311122770074401 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5463
y2[1] (analytic) = 1.1455473751297566318224108650923
y2[1] (numeric) = 1.1455473742677424983513334349352
absolute error = 8.620141334710774301571e-10
relative error = 7.5249103807115504723707945923892e-08 %
h = 0.0001
y1[1] (analytic) = 2.5195293176061878072602922558848
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0401037790019848069870043206692
relative error = 1.5917171005609700550798026394241 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5464
y2[1] (analytic) = 1.1455993323336937831745767289085
y2[1] (numeric) = 1.1455993314623043210698996907717
absolute error = 8.713894621046770381368e-10
relative error = 7.6064068606741817650296750765860e-08 %
h = 0.0001
y1[1] (analytic) = 2.5196147602708858369601359649584
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0401892216666828366868480297428
relative error = 1.5950542241767968013379438348172 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=423.4MB, alloc=4.1MB, time=62.13
x[1] = 0.5465
y2[1] (analytic) = 1.1456512980816376040697991994664
y2[1] (numeric) = 1.1456512972007913047044174156767
absolute error = 8.808462993653817837897e-10
relative error = 7.6886073523447780836173153771756e-08 %
h = 0.0001
y1[1] (analytic) = 2.5197001977394362682812443052446
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.040274659135233268007956370029
relative error = 1.5983909185452266663976945603617 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5466
y2[1] (analytic) = 1.1457032723730684370290731157131
y2[1] (numeric) = 1.1457032714826832600062825988372
absolute error = 8.903851770227905168759e-10
relative error = 7.7715163995172719487924108887512e-08 %
h = 0.0001
y1[1] (analytic) = 2.5197856300109847265388249424368
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0403600914067817262655370072212
relative error = 1.601727183697201293846169263766 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5467
y2[1] (analytic) = 1.145755255207466539138523267151
y2[1] (numeric) = 1.145755254307459909968635040403
absolute error = 9.000066291698882267480e-10
relative error = 7.8551385654078486900426994339529e-08 %
h = 0.0001
y1[1] (analytic) = 2.5198710570846768890181052295551
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0404455184804738887448172943395
relative error = 1.6050630196636593740195512303076 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5468
y2[1] (analytic) = 1.1458072465843120820546018229721
y2[1] (numeric) = 1.1458072456746008898263583514866
absolute error = 9.097111922282434714855e-10
relative error = 7.9394784326955648711432984096379e-08 %
h = 0.0001
y1[1] (analytic) = 2.5199564789596584849828754340872
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0405309403554554847095874988716
relative error = 1.6083984264755366436762705181117 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5469
y2[1] (analytic) = 1.1458592465030851520092866154893
y2[1] (numeric) = 1.1458592455835857470560799541633
absolute error = 9.194994049532066613260e-10
relative error = 8.0245406035629609816071905309167e-08 %
h = 0.0001
y1[1] (analytic) = 2.5200418956350752956840314453434
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0406163570308722954107435101278
relative error = 1.6117334041637658856704113780888 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.1MB, time=62.68
NO POLE
NO POLE
x[1] = 0.547
y2[1] (analytic) = 1.1459112549632657498152802778119
y2[1] (numeric) = 1.1459112540338939413761710814711
absolute error = 9.293718084391091963408e-10
relative error = 8.1103296997366683894545477343920e-08 %
h = 0.0001
y1[1] (analytic) = 2.5201273071100731543681169619403
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0407017685058701540948290267247
relative error = 1.6150679527592769286253490645899 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5471
y2[1] (analytic) = 1.1459632719643337908712102357147
y2[1] (numeric) = 1.1459632710250048447467467774106
absolute error = 9.393289461244634583041e-10
relative error = 8.1968503625280105506455709679371e-08 %
h = 0.0001
y1[1] (analytic) = 2.5202127133837979462858651593285
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0407871747795949460125772241129
relative error = 1.6184020722929966466076159428863 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5472
y2[1] (analytic) = 1.1460152975057691051668295536472
y2[1] (numeric) = 1.1460152965563977413696658969453
absolute error = 9.493713637971636567019e-10
relative error = 8.2841072528735984704984941471372e-08 %
h = 0.0001
y1[1] (analytic) = 2.5202981144553956087007398372781
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0408725758511926084274519020625
relative error = 1.62173576279584895880099679956 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5473
y2[1] (analytic) = 1.1460673315870514372882186348317
y2[1] (numeric) = 1.1460673306275518276885311060014
absolute error = 9.594996095996875288303e-10
relative error = 8.3721050513759204124498427100690e-08 %
h = 0.0001
y1[1] (analytic) = 2.5203835103240121308974760472366
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.040957971719809130624188112021
relative error = 1.6250690242987548291808532619447 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.1MB, time=63.25
NO POLE
NO POLE
x[1] = 0.5474
y2[1] (analytic) = 1.1461193742076604464229877753981
y2[1] (numeric) = 1.1461193732379462123886888814677
absolute error = 9.697142340342988939304e-10
relative error = 8.4608484583439258494962431978986e-08 %
h = 0.0001
y1[1] (analytic) = 2.5204689009887935541906201994749
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0410433623845905539173322642593
relative error = 1.6284018568326322661886772328337 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5475
y2[1] (analytic) = 1.1461714253670757063654805725036
y2[1] (numeric) = 1.1461714243870599163972295111959
absolute error = 9.800157899682510613077e-10
relative error = 8.5503421938336036536672139878221e-08 %
h = 0.0001
y1[1] (analytic) = 2.5205542864488859719330696499346
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.041128747844682971659781714719
relative error = 1.6317342604283963224068732466012 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5476
y2[1] (analytic) = 1.1462234850647767055219781863851
y2[1] (numeric) = 1.1462234840743718728829870940003
absolute error = 9.904048326389910923848e-10
relative error = 8.6405909976885545188902431219899e-08 %
h = 0.0001
y1[1] (analytic) = 2.5206396667034355295246117666916
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.041214128099232529251323831476
relative error = 1.6350662351169590942337696529821 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5477
y2[1] (analytic) = 1.1462755533002428469159044562916
y2[1] (numeric) = 1.146275552299360927256539539658
absolute error = 1.0008819196593649166336e-09
relative error = 8.7315996295805576125907978645008e-08 %
h = 0.0001
y1[1] (analytic) = 2.5207250417515884244204624759516
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.041299503147385424147174540736
relative error = 1.6383977809292297215588585348117 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.1MB, time=63.82
NO POLE
NO POLE
x[1] = 0.5478
y2[1] (analytic) = 1.1463276300729534481930318702458
y2[1] (numeric) = 1.1463276290615058371702085689088
absolute error = 1.0114476110228233013370e-09
relative error = 8.8233728690501314514070887909923e-08 %
h = 0.0001
y1[1] (analytic) = 2.5208104115924909061398042874904
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0413848729882879058665163522748
relative error = 1.6417288978961143874382642659453 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5479
y2[1] (analytic) = 1.1463797153823877416266883885823
y2[1] (numeric) = 1.1463797143602852725180597134552
absolute error = 1.0221024691086286751271e-09
relative error = 8.9159155155470889963772584133480e-08 %
h = 0.0001
y1[1] (analytic) = 2.5208957762252892762743237994552
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0414702376210862760010358642396
relative error = 1.645059586048516317770440615741 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.548
y2[1] (analytic) = 1.1464318092280248741229651212096
y2[1] (numeric) = 1.1464318081951778154359023159625
absolute error = 1.0328470586870628052471e-09
relative error = 9.0092323884710869629624346806428e-08 %
h = 0.0001
y1[1] (analytic) = 2.5209811356491298884967486824406
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.041555597044926888223460747225
relative error = 1.6483898454173357809720963064167 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5481
y2[1] (analytic) = 1.1464839116093439072259248585452
y2[1] (numeric) = 1.1464839105656619603012895300586
absolute error = 1.0436819469246353284866e-09
relative error = 9.1033283272121693412949204055719e-08 %
h = 0.0001
y1[1] (analytic) = 2.5210664898631591485693841427541
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0416409512589561482960962075385
relative error = 1.6517196760334700876543489296678 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=438.7MB, alloc=4.1MB, time=64.39
x[1] = 0.5482
y2[1] (analytic) = 1.1465360225258238171228114560702
y2[1] (numeric) = 1.1465360214712161137335183203343
absolute error = 1.0546077033892931357359e-09
relative error = 9.1982081911913051220090465001862e-08 %
h = 0.0001
y1[1] (analytic) = 2.521151838866523514352648864786
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0417263002623205140793609295704
relative error = 1.6550490779278135902991071289617 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5483
y2[1] (analytic) = 1.1465881419769434946492600724531
y2[1] (numeric) = 1.1465881409113185945936294623431
absolute error = 1.0656249000556306101100e-09
relative error = 9.2938768599009202230607261618611e-08 %
h = 0.0001
y1[1] (analytic) = 2.5212371826583694958136104323982
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0418116440541664955403224971826
relative error = 1.6583780511312576829356809539429 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5484
y2[1] (analytic) = 1.1466402699621817452945082611885
y2[1] (numeric) = 1.1466402688854476339844075426011
absolute error = 1.0767341113101007185874e-09
relative error = 9.3903392329454236128969218496143e-08 %
h = 0.0001
y1[1] (analytic) = 2.5213225212378436550345202292461
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0418969826336406547612322940305
relative error = 1.6617065956746908008176202933961 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5485
y2[1] (analytic) = 1.1466924064810172892066079157008
y2[1] (numeric) = 1.1466924053930813752503809585872
absolute error = 1.0879359139562269571136e-09
relative error = 9.4876002300817276253821269491015e-08 %
h = 0.0001
y1[1] (analytic) = 2.5214078546040926062213478179493
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0419823159998896059480598827337
relative error = 1.6650347115889984200997812933052 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=442.5MB, alloc=4.1MB, time=64.95
x[1] = 0.5486
y2[1] (analytic) = 1.1467445515329287611976380678591
y2[1] (numeric) = 1.146744550433697873977821918743
absolute error = 1.0992308872198161491161e-09
relative error = 9.5856647912597624618659460223185e-08 %
h = 0.0001
y1[1] (analytic) = 2.5214931827562630157123147980249
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0420676441520600154390268628093
relative error = 1.6683623989050630575156206665007 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5487
y2[1] (analytic) = 1.1467967051173947107489185398523
y2[1] (numeric) = 1.1467967040067750979947464424729
absolute error = 1.1106196127541720973794e-09
relative error = 9.6845378766629848757947060521393e-08 %
h = 0.0001
y1[1] (analytic) = 2.5215785056935016019864281424975
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0421529670892986017131402072819
relative error = 1.6716896576537642700547178004275 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5488
y2[1] (analytic) = 1.1468488672338936020162244493712
y2[1] (numeric) = 1.146848866111790927370914360144
absolute error = 1.1221026746453100892272e-09
relative error = 9.7842244667488810352627146386636e-08 %
h = 0.0001
y1[1] (analytic) = 2.5216638234149551356720130131029
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0422382848107521353987250778873
relative error = 1.6750164878659786546405245697093 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5489
y2[1] (analytic) = 1.1469010378819038138350015680469
y2[1] (numeric) = 1.1469010367482231544178293130861
absolute error = 1.1336806594171722549608e-09
relative error = 9.8847295622894635589184983825540e-08 %
h = 0.0001
y1[1] (analytic) = 2.5217491359197704395552450539971
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0423235973155674392819571187815
relative error = 1.6783428895725798478083427600035 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.549
y2[1] (analytic) = 1.1469532170609036397255825330915
y2[1] (numeric) = 1.1469532159155494836887387535918
absolute error = 1.1453541560368437794997e-09
relative error = 9.9860581844117627206192152673174e-08 %
h = 0.0001
y1[1] (analytic) = 2.5218344432070943885886821638876
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.042408904602891388315394228672
relative error = 1.6816688628044385253835290098796 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.1MB, time=65.52
NO POLE
NO POLE
x[1] = 0.5491
y2[1] (analytic) = 1.1470054047703712878984039120907
y2[1] (numeric) = 1.1470054036132475319786339449163
absolute error = 1.1571237559197699671744e-09
relative error = 1.0088215374638311818265334351003e-07 %
h = 0.0001
y1[1] (analytic) = 2.5219197452760739098997957465008
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0424942066718709096265078112852
relative error = 1.6849944075924224021599271773604 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5492
y2[1] (analytic) = 1.147057601009784881259224120895
y2[1] (numeric) = 1.1470575998407948283242499612776
absolute error = 1.1689900529349741596174e-09
relative error = 1.0191206194927626702216817359608e-07 %
h = 0.0001
y1[1] (analytic) = 2.5220050421258559827995014393003
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0425795035216529825262135040847
relative error = 1.6883195239673962315785280378321 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5493
y2[1] (analytic) = 1.1471098057786224574143421945579
y2[1] (numeric) = 1.1471098045976688140040656878565
absolute error = 1.1809536434102765067014e-09
relative error = 1.0295035727714679458722214991798e-07 %
h = 0.0001
y1[1] (analytic) = 2.5220903337555876387906893203702
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0426647951513846385174013851546
relative error = 1.6916442119602218054063562200307 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5494
y2[1] (analytic) = 1.1471620190763619686758174112684
y2[1] (numeric) = 1.1471620178833468425383038207964
absolute error = 1.1930151261375135904720e-09
relative error = 1.0399709075951366243781287301914e-07 %
h = 0.0001
y1[1] (analytic) = 2.5221756201644159615767535933795
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0427500815602129613034656581639
relative error = 1.6949684716017579534155842869215 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.1MB, time=66.08
NO POLE
NO POLE
x[1] = 0.5495
y2[1] (analytic) = 1.1472142409024812820666897692261
y2[1] (numeric) = 1.1472142396973061796889308672035
absolute error = 1.2051751023777589020226e-09
relative error = 1.0505231363146969262869265090325e-07 %
h = 0.0001
y1[1] (analytic) = 2.522260901351488087070121750541
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0428353627472850867968338153254
relative error = 1.6982923029228605430628738682096 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5496
y2[1] (analytic) = 1.1472664712564581793262013164064
y2[1] (numeric) = 1.1472664700390240034596571451467
absolute error = 1.2174341758665441712597e-09
relative error = 1.0611607733408612891959246722365e-07 %
h = 0.0001
y1[1] (analytic) = 2.5223461773159512034007832134795
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0429206387117482031274952782639
relative error = 1.7016157059543824791689437513061 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5497
y2[1] (analytic) = 1.1473187101377703569150183331638
y2[1] (numeric) = 1.1473187089079774040959367836577
absolute error = 1.2297929528190815495061e-09
relative error = 1.0718843351481713935277141054145e-07 %
h = 0.0001
y1[1] (analytic) = 2.5224314480569525509248174519256
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.04300590945274955065152951671
relative error = 1.7049386807271737035983648376587 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5498
y2[1] (analytic) = 1.1473709575458954260204543676211
y2[1] (numeric) = 1.1473709563036433840849677227308
absolute error = 1.2422520419354866448903e-09
relative error = 1.0826943402790426015234558984151e-07 %
h = 0.0001
y1[1] (analytic) = 2.5225167135736394222329215801468
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0430911749694364219596336449312
relative error = 1.7082612272720811949395818712096 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.1MB, time=66.65
NO POLE
NO POLE
x[1] = 0.5499
y2[1] (analytic) = 1.1474232134803109125616941237914
y2[1] (numeric) = 1.1474232122254988581556917133231
absolute error = 1.2548120544060024104683e-09
relative error = 1.0935913093478078089970770826386e-07 %
h = 0.0001
y1[1] (analytic) = 2.5226019738651591621589374310344
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0431764352609561618856494958188
relative error = 1.7115833456199489681851618460334 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.55
y2[1] (analytic) = 1.1474754779404942571950182023822
y2[1] (numeric) = 1.1474754766730206532787943173545
absolute error = 1.2674736039162238850277e-09
relative error = 1.1045757650447607093971114336754e-07 %
h = 0.0001
y1[1] (analytic) = 2.5226872289306591677883781077573
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0432616903264561675150901725417
relative error = 1.7149050358016180744122689999509 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5501
y2[1] (analytic) = 1.1475277509259228153190286942285
y2[1] (numeric) = 1.1475277496456855086667049077075
absolute error = 1.2802373066523237865210e-09
relative error = 1.1156482321401984697207105967934e-07 %
h = 0.0001
y1[1] (analytic) = 2.5227724787692868884669540129
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0433469401650838881936660776844
relative error = 1.7182262978479266004633663011868 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5502
y2[1] (analytic) = 1.1475800324360738570798756263018
y2[1] (numeric) = 1.1475800311429700757735966682274
absolute error = 1.2931037813062789580744e-09
relative error = 1.1268092374884638178242299674219e-07 %
h = 0.0001
y1[1] (analytic) = 2.5228577233801898258090983549984
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0434321847759868255358104197828
relative error = 1.721547131789709668627143335019 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=457.7MB, alloc=4.1MB, time=67.22
x[1] = 0.5503
y2[1] (analytic) = 1.1476323224704245673764842602447
y2[1] (numeric) = 1.1476323211643509182953865937222
absolute error = 1.3060736490810976665225e-09
relative error = 1.1380593100319865406787685071834e-07 %
h = 0.0001
y1[1] (analytic) = 2.5229429627625155337064921323883
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0435174241583125334332041971727
relative error = 1.7248675376577994363196704974539 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5504
y2[1] (analytic) = 1.1476846210284520458657832433774
y2[1] (numeric) = 1.1476846197093045121697354899626
absolute error = 1.3191475336960477534148e-09
relative error = 1.1493989808053243931155215824672e-07 %
h = 0.0001
y1[1] (analytic) = 2.5230281969154116183365885942817
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0436026583112086180633006590661
relative error = 1.7281875154830250957657794029936 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5505
y2[1] (analytic) = 1.1477369281096333069679336121236
y2[1] (numeric) = 1.1477369267773072455760479736822
absolute error = 1.3323260613918856384414e-09
relative error = 1.1608287829392034166075150764021e-07 %
h = 0.0001
y1[1] (analytic) = 2.5231134258380257381711371789847
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0436878872338227378978492437691
relative error = 1.7315070652962128736806694135408 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5506
y2[1] (analytic) = 1.1477892437134452798715586478048
y2[1] (numeric) = 1.1477892423678354189354724725771
absolute error = 1.3456098609360861752277e-09
relative error = 1.1723492516645576676367817396121e-07 %
h = 0.0001
y1[1] (analytic) = 2.5231986495295056039847069291735
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0437731109253026037114189939579
relative error = 1.7348261871281860309517401956242 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5507
y2[1] (analytic) = 1.1478415678393648085389745847497
y2[1] (numeric) = 1.1478415664803652449109012253062
absolute error = 1.3589995636280733594435e-09
relative error = 1.1839609243165683551926084096774e-07 %
h = 0.0001
y1[1] (analytic) = 2.5232838679889989788632093841411
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0438583293847959785899214489255
relative error = 1.7381448810097648623206502129989 %
h = 0.0001
memory used=461.5MB, alloc=4.1MB, time=67.78
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5508
y2[1] (analytic) = 1.1478939004868686517114221706666
y2[1] (numeric) = 1.1478938991143728484069702814912
absolute error = 1.3724958033044518891754e-09
relative error = 1.1956643403387023869499341057417e-07 %
h = 0.0001
y1[1] (analytic) = 2.5233690812156536782124209489314
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0439435426114506779391330137158
relative error = 1.7414631469717666960656010618713 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5509
y2[1] (analytic) = 1.1479462416554334829142990792269
y2[1] (numeric) = 1.1479462402693342665700595017165
absolute error = 1.3860992163442395775104e-09
relative error = 1.2074600412867503236765090560860e-07 %
h = 0.0001
y1[1] (analytic) = 2.5234542892086175697665047402741
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0440287506044145694932168050585
relative error = 1.7447809850450058936838475558936 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.551
y2[1] (analytic) = 1.1479985913445358904623931748063
y2[1] (numeric) = 1.1479985899447254487882925575292
absolute error = 1.3998104416741006172771e-09
relative error = 1.2193485708328637414165195545431e-07 %
h = 0.0001
y1[1] (analytic) = 2.5235394919670385735965319092362
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0441139533628355733232439740206
relative error = 1.7480983952602938495744334681979 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5511
y2[1] (analytic) = 1.1480509495536523774651166293329
y2[1] (numeric) = 1.1480509481400222566915369314392
absolute error = 1.4136301207735796978937e-09
relative error = 1.2313304747695920010012243640467e-07 %
h = 0.0001
y1[1] (analytic) = 2.523624689490064662119002440504
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0441991508858616618457145052884
relative error = 1.7514153776484389907211528376945 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.1MB, time=68.34
NO POLE
NO POLE
x[1] = 0.5512
y2[1] (analytic) = 1.1481033162822593618317408911886
y2[1] (numeric) = 1.148103314854700464151403916919
absolute error = 1.4275588976803369742696e-09
relative error = 1.2434063010139184244354589674383e-07 %
h = 0.0001
y1[1] (analytic) = 2.5237098817768438601043654282112
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0442843431726408598310774929956
relative error = 1.7547319322402467763757367469544 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5513
y2[1] (analytic) = 1.1481556915298331762766325061121
y2[1] (numeric) = 1.1481556900882357572812486184039
absolute error = 1.4415974189953838877082e-09
relative error = 1.2555765996112958777099624534031e-07 %
h = 0.0001
y1[1] (analytic) = 2.523795068826524244685538828227
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0443695302223212444122508930114
relative error = 1.7580480590665196977412654789585 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5514
y2[1] (analytic) = 1.1482080752958500683244897900508
y2[1] (numeric) = 1.1482080738401037344361699512919
absolute error = 1.4557463338883198387589e-09
relative error = 1.2678419227396817595902316274857e-07 %
h = 0.0001
y1[1] (analytic) = 2.5238802506382539453664286868201
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0444547120340509450931407516045
relative error = 1.7613637581580572776558059601028 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5515
y2[1] (analytic) = 1.1482604675797862003155803539094
y2[1] (numeric) = 1.1482604661097799062130106419438
absolute error = 1.4700062941025697119656e-09
relative error = 1.2802028247135723959323985954474e-07 %
h = 0.0001
y1[1] (analytic) = 2.5239654272111811440304478456125
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0445398886069781437571599103969
relative error = 1.7646790295456560702762743968011 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.1MB, time=68.92
NO POLE
NO POLE
x[1] = 0.5516
y2[1] (analytic) = 1.1483128683811176494109794801431
y2[1] (numeric) = 1.1483128668967396954503572276831
absolute error = 1.4843779539606222524600e-09
relative error = 1.2926598619880368390779003755652e-07 %
h = 0.0001
y1[1] (analytic) = 2.5240505985444540749490341227382
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0446250599402510746757461875226
relative error = 1.7679938732601096607625240131003 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5517
y2[1] (analytic) = 1.1483652776993204075978093511421
y2[1] (numeric) = 1.148365276200458437228540056796
absolute error = 1.4988619703692692943461e-09
relative error = 1.3052135931627500718774556880519e-07 %
h = 0.0001
y1[1] (analytic) = 2.5241357646372210247901679701215
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0447102260330180245168800349059
relative error = 1.7713082893322086649616577967398 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5518
y2[1] (analytic) = 1.1484176955338703816944791293563
y2[1] (numeric) = 1.1484176940204113788696332885314
absolute error = 1.5134590028248458408249e-09
relative error = 1.3178645789860256158975297444727e-07 %
h = 0.0001
y1[1] (analytic) = 2.5242209254886303326268896067908
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0447953868844273323536016715752
relative error = 1.7746222777927407290925661611596 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5519
y2[1] (analytic) = 1.1484701218842433933559258891068
y2[1] (numeric) = 1.148470120356073679937454893101
absolute error = 1.5281697134184709960058e-09
relative error = 1.3306133823588475433606918830025e-07 %
h = 0.0001
y1[1] (analytic) = 2.5243060810978303899458156281403
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0448805424936273896725276929247
relative error = 1.777935838672490529430689430855 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.1MB, time=69.50
NO POLE
NO POLE
x[1] = 0.552
y2[1] (analytic) = 1.1485225567499151790788564000321
y2[1] (numeric) = 1.1485225552069204122375666516791
absolute error = 1.5429947668412897483530e-09
relative error = 1.3434605683389018923732397213043e-07 %
h = 0.0001
y1[1] (analytic) = 2.5243912314639696406556550910571
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0449656928597666403823671558415
relative error = 1.7812489720022397719930050577058 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5521
y2[1] (analytic) = 1.1485750001303613902069897621166
y2[1] (numeric) = 1.148574998572426559817274156403
absolute error = 1.5579348303897156057136e-09
relative error = 1.3564067041446074849924714591800e-07 %
h = 0.0001
y1[1] (analytic) = 2.5244763765861965810957250748271
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0450508379819935808224371396115
relative error = 1.7845616778127671922232394757722 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5522
y2[1] (analytic) = 1.1486274520250575929363008922494
y2[1] (numeric) = 1.1486274504520670189656268103724
absolute error = 1.5729905739706740818770e-09
relative error = 1.3694523591591461476889141832813e-07 %
h = 0.0001
y1[1] (analytic) = 2.5245615164636597600444657177347
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0451359778594567597711777825191
relative error = 1.7878739561348485546773045021468 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5523
y2[1] (analytic) = 1.1486799124334792683202648622596
y2[1] (numeric) = 1.14867991084531659821341782765
absolute error = 1.5881626701068470346096e-09
relative error = 1.3825981049344923337543413778923e-07 %
h = 0.0001
y1[1] (analytic) = 2.524646651095507778727954729271
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0452211124913047784546667940554
relative error = 1.7911858069992566527089581914645 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=476.8MB, alloc=4.1MB, time=70.06
x[1] = 0.5524
y2[1] (analytic) = 1.1487323813551018122751020883775
y2[1] (numeric) = 1.148732379751650018333184233261
absolute error = 1.6034517939419178551165e-09
relative error = 1.3958445151954421472135181485780e-07 %
h = 0.0001
y1[1] (analytic) = 2.5247317804808892908284213778662
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0453062418766862905551334426506
relative error = 1.7944972304367613081556900517433 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5525
y2[1] (analytic) = 1.1487848587894005355850243720683
y2[1] (numeric) = 1.1487848571705419123392068631935
absolute error = 1.6188586232458175088748e-09
relative error = 1.4091921658436417677918320022029e-07 %
h = 0.0001
y1[1] (analytic) = 2.5248169046189530024927599540604
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0453913660147500022194720188448
relative error = 1.7978082264781293710248305291967 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5526
y2[1] (analytic) = 1.1488373447358506639074817921849
y2[1] (numeric) = 1.1488373431014668254875103643983
absolute error = 1.6343838384199714277866e-09
relative error = 1.4226416349616152764944155912718e-07 %
h = 0.0001
y1[1] (analytic) = 2.5249020235088476723410427090272
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0454764849046446720677547738116
relative error = 1.8011187951541247191798846696985 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5527
y2[1] (analytic) = 1.1488898391939273377784104483898
y2[1] (numeric) = 1.1488898375438992152758631947888
absolute error = 1.6500281225025472536010e-09
relative error = 1.4361935028167918813538131770906e-07 %
h = 0.0001
y1[1] (analytic) = 2.5249871371497221114750322683658
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0455615985455191112017443331502
relative error = 1.804428936495508258027089864657 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5528
y2[1] (analytic) = 1.1489423421631056126174810557909
y2[1] (numeric) = 1.1489423404973134514437776232413
absolute error = 1.6657921611737034325496e-09
relative error = 1.4498483518655325428994652560536e-07 %
h = 0.0001
y1[1] (analytic) = 2.5250722455407251834866935210768
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0456467069365221832134055858612
relative error = 1.8077386505330379202021975890667 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.1MB, time=70.62
NO POLE
NO POLE
x[1] = 0.5529
y2[1] (analytic) = 1.1489948536428604587333483907405
y2[1] (numeric) = 1.1489948519611838159725097295947
absolute error = 1.6816766427608386611458e-09
relative error = 1.4636067667571559989077356229780e-07 %
h = 0.0001
y1[1] (analytic) = 2.5251573486810058044667049836351
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0457318100768028041934170484195
relative error = 1.8110479372974686652574790394657 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.553
y2[1] (analytic) = 1.1490473736326667613289015877443
y2[1] (numeric) = 1.1490473719349845030850594046507
absolute error = 1.6976822582438421830936e-09
relative error = 1.4774693343379641879876018897131e-07 %
h = 0.0001
y1[1] (analytic) = 2.525242446569712943012969639076
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0458169079655099427396817038604
relative error = 1.8143567968195524793489545796575 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5531
y2[1] (analytic) = 1.1490999021319993205065152874284
y2[1] (numeric) = 1.1490999004181896192461703501737
absolute error = 1.7138097012603449372547e-09
relative error = 1.4914366436552670715602297317865e-07 %
h = 0.0001
y1[1] (analytic) = 2.5253275392059956202391252510091
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0459020006017926199658373157935
relative error = 1.8176652291300383749238469020305 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5532
y2[1] (analytic) = 1.1491524391403328512733016355109
y2[1] (numeric) = 1.1491524374102731831623300788909
absolute error = 1.7300596681109715566200e-09
relative error = 1.5055092859614068537887020488731e-07 %
h = 0.0001
y1[1] (analytic) = 2.5254126265890029097830541524749
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0459870879847999095097662172593
relative error = 1.8209732342596723904082578123453 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.1MB, time=71.18
NO POLE
NO POLE
x[1] = 0.5533
y2[1] (analytic) = 1.1492049846571419835463631327267
y2[1] (numeric) = 1.1492049829107091257817699144921
absolute error = 1.7464328577645932182346e-09
relative error = 1.5196878547177815990171860215241e-07 %
h = 0.0001
y1[1] (analytic) = 2.5254977087178839378153925095592
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0460721701136809375421045743436
relative error = 1.8242808122391975898950685458998 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5534
y2[1] (analytic) = 1.1492575386819012621580463356516
y2[1] (numeric) = 1.1492575369189712902944649916299
absolute error = 1.7629299718635813440217e-09
relative error = 1.5339729455988682462760018843157e-07 %
h = 0.0001
y1[1] (analytic) = 2.5255827855917878830480390596788
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0461572469875848827747511244632
relative error = 1.8275879630993540628320635229471 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5535
y2[1] (analytic) = 1.1493101012140851468611964083752
y2[1] (numeric) = 1.1493100994345334321321342559196
absolute error = 1.7795517147290621524556e-09
relative error = 1.5483651564962450204136351053658e-07 %
h = 0.0001
y1[1] (analytic) = 2.5256678572098639767426633244563
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0462423186056609764693753892407
relative error = 1.8308946868708789237102774514363 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5536
y2[1] (analytic) = 1.1493626722531680123344125249671
y2[1] (numeric) = 1.1493626704568692189682404639393
absolute error = 1.7962987933661720610278e-09
relative error = 1.5628650875226132394117392573820e-07 %
h = 0.0001
y1[1] (analytic) = 2.5257529235712615027192132970958
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0463273849670585024459253618802
relative error = 1.8342009835845063117525656849451 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=488.2MB, alloc=4.1MB, time=71.73
NO POLE
NO POLE
x[1] = 0.5537
y2[1] (analytic) = 1.1494152517986241481873041226876
y2[1] (numeric) = 1.1494152499854522307179901832298
absolute error = 1.8131719174693139394578e-09
relative error = 1.5774733410158185174461907516310e-07 %
h = 0.0001
y1[1] (analytic) = 2.5258379846751297973644226041766
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.046412446070926797091134668961
relative error = 1.8375068532709673906023977439036 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5538
y2[1] (analytic) = 1.1494678398499277589657480058863
y2[1] (numeric) = 1.1494678380197559595383337922945
absolute error = 1.8301717994274142135918e-09
relative error = 1.5921905215428713632503482510911e-07 %
h = 0.0001
y1[1] (analytic) = 2.5259230405206182496403171417787
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0464975019164152493670292065631
relative error = 1.8408122959609903480128739081143 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5539
y2[1] (analytic) = 1.1495204364065529641571463005395
y2[1] (numeric) = 1.1495204345592538098279654805997
absolute error = 1.8472991543291808199398e-09
relative error = 1.6070172359039671733434220675247e-07 %
h = 0.0001
y1[1] (analytic) = 2.5260080911068763010927211858551
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0465825525026733008194332506395
relative error = 1.844117311685300395535964788644 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.554
y2[1] (analytic) = 1.1495730414679737981956852593716
y2[1] (numeric) = 1.1495730396034190982273232485744
absolute error = 1.8645546999683620107972e-09
relative error = 1.6219540931365056196834309941896e-07 %
h = 0.0001
y1[1] (analytic) = 2.5260931364330534458597629767672
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0466675978288504455864750415516
relative error = 1.8474219004746197682119737872459 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.1MB, time=72.29
NO POLE
NO POLE
x[1] = 0.5541
y2[1] (analytic) = 1.1496256550336642104675949175089
y2[1] (numeric) = 1.1496256531517250536185889076103
absolute error = 1.8819391568490060098986e-09
relative error = 1.6370017045191094313060168043179e-07 %
h = 0.0001
y1[1] (analytic) = 2.5261781764982992306803797778957
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0467526378940962304070918426801
relative error = 1.850726062359667724259222351346 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5542
y2[1] (analytic) = 1.149678277103098065316409598613
y2[1] (numeric) = 1.1496782752036448171256880800618
absolute error = 1.8994532481907215185512e-09
relative error = 1.6521606835756425695105261793317e-07 %
h = 0.0001
y1[1] (analytic) = 2.5262632113017632549028224082446
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.046837672697560254629534473029
relative error = 1.85402979737116054476395793286 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5543
y2[1] (analytic) = 1.1497309076757491420482292714408
y2[1] (numeric) = 1.149730905758651442114290199246
absolute error = 1.9170976999339390721948e-09
relative error = 1.6674316460792277961548224599116e-07 %
h = 0.0001
y1[1] (analytic) = 2.5263482408425951704931592489515
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0469227022383921702198713137359
relative error = 1.8573331055398115333704845589621 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5544
y2[1] (analytic) = 1.1497835467510911349369817567794
y2[1] (numeric) = 1.1497835448162178941918085094428
absolute error = 1.9348732407451732473366e-09
relative error = 1.6828152100562636346217339163552e-07 %
h = 0.0001
y1[1] (analytic) = 2.5264332651199446820437797236197
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0470077265157416817704917884041
relative error = 1.8606359868963310159715159230495 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=495.9MB, alloc=4.1MB, time=72.87
x[1] = 0.5545
y2[1] (analytic) = 1.1498361943285976532296857847023
y2[1] (numeric) = 1.1498361923758170512074000658948
absolute error = 1.9527806020222857188075e-09
relative error = 1.6983119957904407230191409117861e-07 %
h = 0.0001
y1[1] (analytic) = 2.5265182841329615467818972523873
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0470927455287585465086093171717
relative error = 1.8639384414714263403987509041593 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5546
y2[1] (analytic) = 1.149888850407742221151714902095
y2[1] (numeric) = 1.1498888484369217032519657348073
absolute error = 1.9708205178997491672877e-09
relative error = 1.7139226258267575591770615987944e-07 %
h = 0.0001
y1[1] (analytic) = 2.5266032978807955745780516796481
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0471777592765925743047637444325
relative error = 1.8672404692958018761136714231102 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5547
y2[1] (analytic) = 1.1499415149879982779120622303964
y2[1] (numeric) = 1.1499415129990045526581501933485
absolute error = 1.9889937252539120370479e-09
relative error = 1.7296477249755356370041916424338e-07 %
h = 0.0001
y1[1] (analytic) = 2.5266883063625966279546111753388
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0472627677583936276813232401232
relative error = 1.8705420704001590138985625436584 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5548
y2[1] (analytic) = 1.1499941880688391777086060735051
y2[1] (numeric) = 1.1499941860615382140003419296491
absolute error = 2.0073009637082641438560e-09
relative error = 1.7454879203164339737698846214559e-07 %
h = 0.0001
y1[1] (analytic) = 2.5267733095775146220942736097088
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0473477709733116218209856744932
relative error = 1.8738432448151961655477547270548 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5549
y2[1] (analytic) = 1.1500468696497381897333763757958
y2[1] (numeric) = 1.1500468676239952140946732428026
absolute error = 2.0257429756387031329932e-09
relative error = 1.7614438412024630278727421060451e-07 %
h = 0.0001
y1[1] (analytic) = 2.5268583075246995248485674014853
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0474327689204965245752794662697
relative error = 1.8771439925716087635590881482798 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.1MB, time=73.43
NO POLE
NO POLE
x[1] = 0.555
y2[1] (analytic) = 1.150099559730168498177822030195
y2[1] (numeric) = 1.1500995576858479919990202428652
absolute error = 2.0443205061788017873298e-09
relative error = 1.7775161192639980066629485464989e-07 %
h = 0.0001
y1[1] (analytic) = 2.5269433002033013567463518393519
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0475177615990983564730639041363
relative error = 1.8804443137000892608255989824759 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5551
y2[1] (analytic) = 1.1501522583096032022380790362615
y2[1] (numeric) = 1.150152256246568899013002850856
absolute error = 2.0630343032250761854055e-09
relative error = 1.7937053884127915638811034563508e-07 %
h = 0.0001
y1[1] (analytic) = 2.527028287612470191002316876652
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0476027490082671907290289414364
relative error = 1.8837442082313271303274275698563 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5552
y2[1] (analytic) = 1.1502049653875153161202395082212
y2[1] (numeric) = 1.1502049633056301986779847987566
absolute error = 2.0818851174422547094646e-09
relative error = 1.8100122848459858862815731115731e-07 %
h = 0.0001
y1[1] (analytic) = 2.5271132697513561535254823992356
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.04768773114715315325219446402
relative error = 1.8870436761960088648239483676828 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5553
y2[1] (analytic) = 1.1502576809633777690456215329018
y2[1] (numeric) = 1.1502576788625040667770736295115
absolute error = 2.1008737022685479033903e-09
relative error = 1.8264374470501241690033931099759e-07 %
h = 0.0001
y1[1] (analytic) = 2.5271982466191094229276969663615
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0477727080149064226544090311459
relative error = 1.8903427176248179765461215976767 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.1MB, time=74.00
NO POLE
NO POLE
x[1] = 0.5554
y2[1] (analytic) = 1.1503104050366634052560398775146
y2[1] (numeric) = 1.1503104029166625913351206970279
absolute error = 2.1200008139209191804867e-09
relative error = 1.8429815158051614792559793476155e-07 %
h = 0.0001
y1[1] (analytic) = 2.5272832182148802305321360245719
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0478576796106772302588480893563
relative error = 1.8936413325484349968890664974499 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5555
y2[1] (analytic) = 1.1503631376068449840190775472328
y2[1] (numeric) = 1.1503631354675777726187211661756
absolute error = 2.1392672114003563810572e-09
relative error = 1.8596451341884750078873916167312e-07 %
h = 0.0001
y1[1] (analytic) = 2.5273681845378188603817995944535
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0479426459336158601085116592379
relative error = 1.8969395209975374761048560844605 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5556
y2[1] (analytic) = 1.1504158786733951796333581925108
y2[1] (numeric) = 1.1504158765147215231362140127872
absolute error = 2.1586736564971441797236e-09
relative error = 1.8764289475788737083994689752539e-07 %
h = 0.0001
y1[1] (analytic) = 2.5274531455870756492480094302008
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0480276069828726489747214949852
relative error = 1.9002372830027999829955333410867 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5557
y2[1] (analytic) = 1.1504686282357865814338193660934
y2[1] (numeric) = 1.1504686260575656676376820236581
absolute error = 2.1782209137961373424353e-09
relative error = 1.8933336036606073229789900287380e-07 %
h = 0.0001
y1[1] (analytic) = 2.5275381013618009866389056518951
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0481125627575979863656177166795
relative error = 1.9035346185948941046063487293557 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.1MB, time=74.57
NO POLE
NO POLE
x[1] = 0.5558
y2[1] (analytic) = 1.1505213862934916937969866296625
y2[1] (numeric) = 1.1505213840955819431149517965464
absolute error = 2.1979097506820348331161e-09
relative error = 1.9103597524273747951127591915157e-07 %
h = 0.0001
y1[1] (analytic) = 2.5276230518611453148079428504166
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.048197513256942314534654915201
relative error = 1.9068315278044884459192189440477 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5559
y2[1] (analytic) = 1.1505741528459829361462485100672
y2[1] (numeric) = 1.1505741506282419988015937401729
absolute error = 2.2177409373446547698943e-09
relative error = 1.9275080461863320683533554766022e-07 %
h = 0.0001
y1[1] (analytic) = 2.5277079970842591287623856649027
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0482824584800561284890977296871
relative error = 1.9101280106622486295464068127515 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.556
y2[1] (analytic) = 1.1506269278927326429571323050854
y2[1] (numeric) = 1.1506269256550173961729220742211
absolute error = 2.2377152467842102308643e-09
relative error = 1.9447791395620992708048535476148e-07 %
h = 0.0001
y1[1] (analytic) = 2.5277929370302929762718038326678
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0483673984260899759985158974522
relative error = 1.9134240671988372954244222515677 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5561
y2[1] (analytic) = 1.1506797114332130637625807386644
y2[1] (numeric) = 1.1506797091753796089459948293372
absolute error = 2.2578334548165859093272e-09
relative error = 1.9621736895007672848976180497998e-07 %
h = 0.0001
y1[1] (analytic) = 2.5278778716983974578765667115013
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0484523330941944576032787762857
relative error = 1.9167196974449141005081441852349 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.1MB, time=75.13
NO POLE
NO POLE
x[1] = 0.5562
y2[1] (analytic) = 1.150732503466896363158229465587
y2[1] (numeric) = 1.1507325011888000230796138471303
absolute error = 2.2780963400786156184567e-09
relative error = 1.9796923552739037020206292281228e-07 %
h = 0.0001
y1[1] (analytic) = 2.5279628010877232268963372742561
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0485372624835202266230493390405
relative error = 1.9200149014311357184651633403139 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5563
y2[1] (analytic) = 1.1507853039932546208076854255104
y2[1] (numeric) = 1.1507853016947499367743247801721
absolute error = 2.2985046840333606453383e-09
relative error = 1.9973357984825581615816752417334e-07 %
h = 0.0001
y1[1] (analytic) = 2.5280477251974209894385655756453
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0486221865932179891652776404297
relative error = 1.9233096791881558393703458203021 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5564
y2[1] (analytic) = 1.1508381130117598314478060463265
y2[1] (numeric) = 1.150838110692700560472417091997
absolute error = 2.3190592709753889543295e-09
relative error = 2.0151046830612670740658854730747e-07 %
h = 0.0001
y1[1] (analytic) = 2.5281326440266415044069816911606
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.048707105422438504133693755945
relative error = 1.926604030746625169400617371417 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5565
y2[1] (analytic) = 1.1508909305218839048939792967879
y2[1] (numeric) = 1.1508909281821230168579240571022
absolute error = 2.3397608880360552396857e-09
relative error = 2.0329996752820577276608720792128e-07 %
h = 0.0001
y1[1] (analytic) = 2.5282175575745355835100881280276
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.048792018970332583236800192812
relative error = 1.9298979561371914305299682478819 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=514.9MB, alloc=4.1MB, time=75.69
x[1] = 0.5566
y2[1] (analytic) = 1.1509437565230986660454045883505
y2[1] (numeric) = 1.1509437541624883408566227609476
absolute error = 2.3606103251887818274029e-09
relative error = 2.0510214437584517780227082307044e-07 %
h = 0.0001
y1[1] (analytic) = 2.5283024658402540912696517081144
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0488769272360510909963637728988
relative error = 1.9331914553904993602246785856217 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5567
y2[1] (analytic) = 1.1509965910148758548903745261767
y2[1] (numeric) = 1.1509965886332674796360340999558
absolute error = 2.3816083752543404262209e-09
relative error = 2.0691706594494681207509407352988e-07 %
h = 0.0001
y1[1] (analytic) = 2.5283873688229479450291949227059
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0489618302187449447559069874903
relative error = 1.9364845285371907111387641931509 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5568
y2[1] (analytic) = 1.1510494339966871265115575092481
y2[1] (numeric) = 1.1510494315939312926054227815122
absolute error = 2.4027558339061347277359e-09
relative error = 2.0874479956636251461457531450780e-07 %
h = 0.0001
y1[1] (analytic) = 2.5284722665217681149624867590622
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0490467279175651146891988238466
relative error = 1.9397771756079042508096426686963 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5569
y2[1] (analytic) = 1.1511022854680040510912811795346
y2[1] (numeric) = 1.1511022830439505514157973239648
absolute error = 2.4240534996754838555698e-09
relative error = 2.1058541280629423758194045600383e-07 %
h = 0.0001
y1[1] (analytic) = 2.5285571589358656240820329986738
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0491316203316626238087450634582
relative error = 1.9430693966332757613540197524059 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.557
y2[1] (analytic) = 1.1511551454282981139168167201663
y2[1] (numeric) = 1.1511551429827959399599100566245
absolute error = 2.4455021739569066635418e-09
relative error = 2.1243897346669414807329921210823e-07 %
h = 0.0001
y1[1] (analytic) = 2.5286420460643915482475659871291
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0492165074601885479742780519135
relative error = 1.946361191643938039163995822631 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=518.8MB, alloc=4.1MB, time=76.25
NO POLE
NO POLE
x[1] = 0.5571
y2[1] (analytic) = 1.1512080138770407153856640025569
y2[1] (numeric) = 1.1512080114099380543722571197648
absolute error = 2.4671026610134068827921e-09
relative error = 2.1430554958566466802336335873227e-07 %
h = 0.0001
y1[1] (analytic) = 2.5287269279064970161745338755102
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0493013893022940159012459402946
relative error = 1.9496525606705208946033924453181 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5572
y2[1] (analytic) = 1.151260890813703171010837582424
y2[1] (numeric) = 1.151260888324847403029078464622
absolute error = 2.4888557679817591178020e-09
relative error = 2.1618520943785845216627877022472e-07 %
h = 0.0001
y1[1] (analytic) = 2.5288118044613332094425893332314
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0493862658571302091693013980158
relative error = 1.9529435037436511517042988855122 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5573
y2[1] (analytic) = 1.1513137762377567114261535446545
y2[1] (numeric) = 1.1513137737269944065483578533951
absolute error = 2.5107623048777956912594e-09
relative error = 2.1807802153487830401109127418687e-07 %
h = 0.0001
y1[1] (analytic) = 2.5288966757280513625040777322355
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0494711371238483622307897970199
relative error = 1.9562340208939526478638384900305 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5574
y2[1] (analytic) = 1.1513666701486724823915171969622
y2[1] (numeric) = 1.1513666676158493977898228592459
absolute error = 2.5328230846016943377163e-09
relative error = 2.1998405462567702978919780143317e-07 %
h = 0.0001
y1[1] (analytic) = 2.5289815417058027626925248024635
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0495560031015997624192368672479
relative error = 1.9595241121520462335411548504119 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=522.6MB, alloc=4.1MB, time=76.83
NO POLE
NO POLE
x[1] = 0.5575
y2[1] (analytic) = 1.1514195725459215447982116122843
y2[1] (numeric) = 1.1514195699908826218549448662988
absolute error = 2.5550389229432667459855e-09
relative error = 2.2190337769695723033122637577746e-07 %
h = 0.0001
y1[1] (analytic) = 2.5290664023937387502311237585118
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0496408637895357499578358232962
relative error = 1.9628137775485497719546176552197 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5576
y2[1] (analytic) = 1.1514724834289748746741870198642
y2[1] (numeric) = 1.1514724808515642360869390696409
absolute error = 2.5774106385872479502233e-09
relative error = 2.2383605997357103083079368515625e-07 %
h = 0.0001
y1[1] (analytic) = 2.5291512577910107182412218973938
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0497257191868077179679339621782
relative error = 1.9661030171140781387792481409095 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5577
y2[1] (analytic) = 1.1515254027973033631893510449673
y2[1] (numeric) = 1.1515254001973643100707644753222
absolute error = 2.5999390531185865696451e-09
relative error = 2.2578217091891974845263760341530e-07 %
h = 0.0001
y1[1] (analytic) = 2.5292361078967701127508066673188
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0498105692925671124775187321032
relative error = 1.9693918308792432218443640503524 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5578
y2[1] (analytic) = 1.151578330650377816660859797178
y2[1] (numeric) = 1.1515783280277528256331239003553
absolute error = 2.6226249910277358968227e-09
relative error = 2.2774178023535349774282695946073e-07 %
h = 0.0001
y1[1] (analytic) = 2.5293209527101684327029912074054
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0498954141059654324297032721898
relative error = 1.9726802188746539208314440082925 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.1MB, time=77.39
NO POLE
NO POLE
x[1] = 0.5579
y2[1] (analytic) = 1.1516312669876689565584098072233
y2[1] (numeric) = 1.1516312643421996768424639727156
absolute error = 2.6454692797159458345077e-09
relative error = 2.2971495786457073379840865541741e-07 %
h = 0.0001
y1[1] (analytic) = 2.5294057922303572299644993582431
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0499802536261542296912114230275
relative error = 1.9759681811309161469722112229166 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.558
y2[1] (analytic) = 1.1516842118086474195095308122717
y2[1] (numeric) = 1.1516842091401746700089751313412
absolute error = 2.6684727495005556809305e-09
relative error = 2.3170177398801773315433507323963e-07 %
h = 0.0001
y1[1] (analytic) = 2.5294906264564881093341501432183
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0500650878522851090608622080027
relative error = 1.9792557176786328227469364228357 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5581
y2[1] (analytic) = 1.1517371651127837573048793896533
y2[1] (numeric) = 1.151737162421147523684591626133
absolute error = 2.6916362336202877635203e-09
relative error = 2.3370229902728801234519856634012e-07 %
h = 0.0001
y1[1] (analytic) = 2.5295754553877127285513417205185
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0501499167835097282780537853029
relative error = 1.9825428285484038815829599387152 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5582
y2[1] (analytic) = 1.1517901268995484369035334389488
y2[1] (numeric) = 1.1517901241845878686629915179544
absolute error = 2.7149605682405419209944e-09
relative error = 2.3571660364452168409959158270459e-07 %
h = 0.0001
y1[1] (analytic) = 2.5296602790231827983045348057319
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0502347404189797980312468705163
relative error = 1.9858295137708262675534328389489 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.1MB, time=77.93
NO POLE
NO POLE
x[1] = 0.5583
y2[1] (analytic) = 1.1518430971684118404382875123948
y2[1] (numeric) = 1.1518430944299652479795966786318
absolute error = 2.7384465924586908337630e-09
relative error = 2.3774475874280475112476852062781e-07 %
h = 0.0001
y1[1] (analytic) = 2.5297450973620500822397355649552
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0503195587578470819664476297396
relative error = 1.9891157733764939350762770286343 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5584
y2[1] (analytic) = 1.1518960759188442652209489935506
y2[1] (numeric) = 1.1518960731567491169115727909542
absolute error = 2.7620951483093762025964e-09
relative error = 2.3978683546656833743938612166051e-07 %
h = 0.0001
y1[1] (analytic) = 2.5298299104034663969689779783267
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0504043717992633966956900431111
relative error = 1.9924016073959978486133642212953 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5585
y2[1] (analytic) = 1.1519490631503159237476351241765
y2[1] (numeric) = 1.1519490603644088429778293486733
absolute error = 2.7859070807698057755032e-09
relative error = 2.4184290520198785721228668888326e-07 %
h = 0.0001
y1[1] (analytic) = 2.5299147181465836120788056738989
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0504891795423806118055177386833
relative error = 1.9956870158599259823699136927213 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5586
y2[1] (analytic) = 1.1520020588622969437040708792677
y2[1] (numeric) = 1.1520020560524137059390196565036
absolute error = 2.8098832377650512227641e-09
relative error = 2.4391303957738212106498104608656e-07 %
h = 0.0001
y1[1] (analytic) = 2.5299995205905536501387532317659
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0505739819863506498654652965503
relative error = 1.998971998798863319994108726358 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=534.0MB, alloc=4.1MB, time=78.48
x[1] = 0.5587
y2[1] (analytic) = 1.1520550630542573679708876901929
y2[1] (numeric) = 1.1520550602202328977975408301223
absolute error = 2.8340244701733468600706e-09
relative error = 2.4599731046361237979593609269524e-07 %
h = 0.0001
y1[1] (analytic) = 2.5300843177345284867098269583611
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0506587791303254864365390231455
relative error = 2.0022565562433918542769316597232 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5588
y2[1] (analytic) = 1.1521080757256671546289230158834
y2[1] (numeric) = 1.1521080728673355227975337961693
absolute error = 2.8583316318313892197141e-09
relative error = 2.4809578997448130548448179739053e-07 %
h = 0.0001
y1[1] (analytic) = 2.5301691095776601503529851308399
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0507435709734571500796971956243
relative error = 2.0055406882240905868522174413196 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5589
y2[1] (analytic) = 1.1521610968759961769645207620205
y2[1] (numeric) = 1.1521610939931905974248832922473
absolute error = 2.8828055795396374697732e-09
relative error = 2.5020855046713190993239203370138e-07 %
h = 0.0001
y1[1] (analytic) = 2.5302538961191007226376177114634
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0508283575148977223643297762478
relative error = 2.0088243947715355278969256075924 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.559
y2[1] (analytic) = 1.1522141265047142234748325481675
y2[1] (numeric) = 1.1522141235972670504072178669216
absolute error = 2.9074471730676146812459e-09
relative error = 2.5233566454244640040113805019794e-07 %
h = 0.0001
y1[1] (analytic) = 2.530338677358002338150025531897
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0509131387537993378767375966814
relative error = 2.0121076759162996958316305894297 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5591
y2[1] (analytic) = 1.1522671646112909978731198227937
y2[1] (numeric) = 1.1522671616790337227139098797204
absolute error = 2.9322572751592099430733e-09
relative error = 2.5447720504544497260284457799116e-07 %
h = 0.0001
y1[1] (analytic) = 2.5304234532935171845018989473405
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0509979146893141842286110121249
relative error = 2.0153905316889531170212302578351 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.1MB, time=79.02
NO POLE
NO POLE
x[1] = 0.5592
y2[1] (analytic) = 1.1523202111951961190940568261377
y2[1] (numeric) = 1.1523202082379593675560755011345
absolute error = 2.9572367515379813250032e-09
relative error = 2.5663324506568454090317467236119e-07 %
h = 0.0001
y1[1] (analytic) = 2.5305082239247975023387959604043
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0510826853205945020655080251887
relative error = 2.0186729621200628254758726183532 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5593
y2[1] (analytic) = 1.1523732662558991212990344008557
y2[1] (numeric) = 1.1523732632735126503865747126175
absolute error = 2.9823864709124596882382e-09
relative error = 2.5880385793765740569407945679140e-07 %
h = 0.0001
y1[1] (analytic) = 2.5305929892509955853486198146464
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0511674506467925850753318794308
relative error = 2.0219549672401928625521005638605 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5594
y2[1] (analytic) = 1.1524263297928694538814646504037
y2[1] (numeric) = 1.1524263267851621489000113065857
absolute error = 3.0077073049814533438180e-09
relative error = 2.6098911724118985789483142511021e-07 %
h = 0.0001
y1[1] (analytic) = 2.5306777492712637802700960576868
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0512522106670607799968081224712
relative error = 2.0252365470799042766542145954384 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5595
y2[1] (analytic) = 1.1524794018055764814720864450986
y2[1] (numeric) = 1.1524793987723763530327328864181
absolute error = 3.0332001284393535586805e-09
relative error = 2.6318909680184072053935720880404e-07 %
h = 0.0001
y1[1] (analytic) = 2.5307625039847544869012490738126
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.051336965380551486627961138597
relative error = 2.0285177016697551229358534209423 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.1MB, time=79.57
NO POLE
NO POLE
x[1] = 0.5596
y2[1] (analytic) = 1.1525324822934894839442717758068
y2[1] (numeric) = 1.1525324792346236649628308664564
absolute error = 3.0588658189814409093504e-09
relative error = 2.6540387069129982740828138913336e-07 %
h = 0.0001
y1[1] (analytic) = 2.5308472533906201581078780859913
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0514217147864171578345901507757
relative error = 2.0317984310403004630017923410742 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5597
y2[1] (analytic) = 1.1525855712560776564193329552053
y2[1] (numeric) = 1.1525855681713723991101404720051
absolute error = 3.0847052573091924832002e-09
relative error = 2.6763351322778643866380303897159e-07 %
h = 0.0001
y1[1] (analytic) = 2.530931997488013299832032627205
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0515064588838102995587446919894
relative error = 2.0350787352220923646099593326087 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5598
y2[1] (analytic) = 1.1526386686928101092718306665652
y2[1] (numeric) = 1.1526386655820907821362407393315
absolute error = 3.1107193271355899272337e-09
relative error = 2.6987809897644759344601773399447e-07 %
h = 0.0001
y1[1] (analytic) = 2.5310167362760864711004874810238
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0515911976718834708271995458082
relative error = 2.0383586142456799013736687386667 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5599
y2[1] (analytic) = 1.1526917746031558681348828600005
y2[1] (numeric) = 1.1526917714662469529444545156655
absolute error = 3.1369089151904283443350e-09
relative error = 2.7213770274975639938872156857891e-07 %
h = 0.0001
y1[1] (analytic) = 2.53110146975399228403321709133
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0516759311497892837599291561144
relative error = 2.0416380681416091524640724756997 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.1MB, time=80.12
NO POLE
NO POLE
x[1] = 0.56
y2[1] (analytic) = 1.1527448889865838739054744961337
y2[1] (numeric) = 1.1527448858233089626798484591997
absolute error = 3.1632749112256260369340e-09
relative error = 2.7441239960791025901346767538929e-07 %
h = 0.0001
y1[1] (analytic) = 2.531186197920883403851869441112
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0517606593166804035785815058964
relative error = 2.0449170969404232023128286671607 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5601
y2[1] (analytic) = 1.1527980118425629827497681371204
y2[1] (numeric) = 1.1527980086527447747292330390896
absolute error = 3.1898182080205350980308e-09
relative error = 2.7670226485922903295993944433323e-07 %
h = 0.0001
y1[1] (analytic) = 2.5312709207759125488882394002406
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.051845382171709548614951465025
relative error = 2.048195700672662140314987613623 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5602
y2[1] (analytic) = 1.1528511431705619661084153849842
y2[1] (numeric) = 1.1528511399540222647211625354532
absolute error = 3.2165397013872528495310e-09
relative error = 2.7900737406055314001157733294622e-07 %
h = 0.0001
y1[1] (analytic) = 2.5313556383182324905927415421435
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0519300997140294903194536069279
relative error = 2.0514738793688630605320950092607 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5603
y2[1] (analytic) = 1.152904282970049510701869167205
y2[1] (numeric) = 1.1529042797266092205259350393714
absolute error = 3.2434402901759341278336e-09
relative error = 2.8132780301764159387454243117364e-07 %
h = 0.0001
y1[1] (analytic) = 2.531440350546996053542882429295
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0520148119427930532695944940794
relative error = 2.0547516330595600613955123146737 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.1MB, time=80.65
NO POLE
NO POLE
x[1] = 0.5604
y2[1] (analytic) = 1.1529574312404942185356968695106
y2[1] (numeric) = 1.1529574279699733422555924528878
absolute error = 3.2705208762801044166228e-09
relative error = 2.8366362778556997666897257664491e-07 %
h = 0.0001
y1[1] (analytic) = 2.5315250574613561154517323674331
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0520995188571531151784444322175
relative error = 2.0580289617752842454099541958902 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5605
y2[1] (analytic) = 1.1530105879813646069058943158163
y2[1] (numeric) = 1.1530105846835822422639204890088
absolute error = 3.2977823646419738268075e-09
relative error = 2.8601492466912834909087602578502e-07 %
h = 0.0001
y1[1] (analytic) = 2.5316097590604656071763966284221
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0521842204562626069031086932065
relative error = 2.061305865546563718857242939628 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5606
y2[1] (analytic) = 1.1530637531921291084042005952604
y2[1] (numeric) = 1.1530637498669034451464486717033
absolute error = 3.3252256632577519235571e-09
relative error = 2.8838177022321909720346388408175e-07 %
h = 0.0001
y1[1] (analytic) = 2.5316944553434775127264861416742
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0522689167392745124531982064586
relative error = 2.0645823444039235915002797547537 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5607
y2[1] (analytic) = 1.1531169268722560709234137362829
y2[1] (numeric) = 1.1531169235194043877404503359031
absolute error = 3.3528516831829634003798e-09
relative error = 2.9076424125325471581655412495416e-07 %
h = 0.0001
y1[1] (analytic) = 2.5317791463095448692725876540469
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0523536077053418689992997188313
relative error = 2.0678583983778859762872328700302 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=553.1MB, alloc=4.1MB, time=81.20
x[1] = 0.5608
y2[1] (analytic) = 1.1531701090212137576627072276925
y2[1] (numeric) = 1.1531701056405524191249426275027
absolute error = 3.3806613385377646001898e-09
relative error = 2.9316241481555552841273720008831e-07 %
h = 0.0001
y1[1] (analytic) = 2.5318638319578207671547333581294
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0524382933536177668814454229138
relative error = 2.0711340274989699890559423381334 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5609
y2[1] (analytic) = 1.1532232996384703471329473866708
y2[1] (numeric) = 1.1532232962298148006206865033594
absolute error = 3.4086555465122608833114e-09
relative error = 2.9557636821774734357917180467101e-07 %
h = 0.0001
y1[1] (analytic) = 2.5319485122874583498908699888357
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0525229736832553496175820536201
relative error = 2.0744092317976917482385414561219 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.561
y2[1] (analytic) = 1.153276498723493933162011573659
y2[1] (numeric) = 1.153276495286658705790186731293
absolute error = 3.4368352273718248423660e-09
relative error = 2.9800617901915904790374570527022e-07 %
h = 0.0001
y1[1] (analytic) = 2.5320331872976108141853273882178
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0526076486934078139120394530022
relative error = 2.0776840113045643745662947124054 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5611
y2[1] (analytic) = 1.1533297062757525249001072540749
y2[1] (numeric) = 1.1533297028105512204376918900863
absolute error = 3.4652013044624153639886e-09
relative error = 3.0045192503122013529442838409953e-07 %
h = 0.0001
y1[1] (analytic) = 2.5321178569874314099372865384156
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0526923183832284096639986032
relative error = 2.080958366050097990774652170408 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5612
y2[1] (analytic) = 1.1533829222947140468250919068062
y2[1] (numeric) = 1.1533829188009593426091943694847
absolute error = 3.4937547042158975373215e-09
relative error = 3.0291368431785817268077742396429e-07 %
h = 0.0001
y1[1] (analytic) = 2.5322025213560734402492470626576
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.052776982751870439975959127442
relative error = 2.0842322960647997213085201990573 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.1MB, time=81.74
NO POLE
NO POLE
x[1] = 0.5613
y2[1] (analytic) = 1.1534361467798463387477937794275
y2[1] (numeric) = 1.1534361432573499825924303701963
absolute error = 3.5224963561553634092312e-09
relative error = 3.0539153519589620205645293162927e-07 %
h = 0.0001
y1[1] (analytic) = 2.5322871804026902614354941942294
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0528616417984872611622062590138
relative error = 2.087505801379173692027748460367 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5614
y2[1] (analytic) = 1.1534893797306171558173334900879
y2[1] (numeric) = 1.1534893761791899629168799038919
absolute error = 3.5514271929004535861960e-09
relative error = 3.0788555623545007882176414650901e-07 %
h = 0.0001
y1[1] (analytic) = 2.5323718341264352830305652133234
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0529462955222322827572772781078
relative error = 2.090778882023721029912833064273 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5615
y2[1] (analytic) = 1.1535426211464941685264464760148
y2[1] (numeric) = 1.1535426175659460183537667932052
absolute error = 3.5805481501726796828096e-09
relative error = 3.1039582626032574638512142107481e-07 %
h = 0.0001
y1[1] (analytic) = 2.5324564825264619677977153516866
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.053030943922258967524427416471
relative error = 2.0940515380289398627708358010443 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5616
y2[1] (analytic) = 1.1535958710269449627168062885827
y2[1] (numeric) = 1.1535958674170847959160586717325
absolute error = 3.6098601668007476168502e-09
relative error = 3.1292242434841644698267066046424e-07 %
h = 0.0001
y1[1] (analytic) = 2.5325411256019238317373831649808
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0531155869977208314640952297652
relative error = 2.09732376942532531894151936152 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.1MB, time=82.32
NO POLE
NO POLE
x[1] = 0.5617
y2[1] (analytic) = 1.1536491293714370395843487348915
y2[1] (numeric) = 1.1536491257320728548584669840328
absolute error = 3.6393641847258817508587e-09
relative error = 3.1546542983209986867491557114738e-07 %
h = 0.0001
y1[1] (analytic) = 2.5326257633519744440956553727713
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0532002247477714438223674375557
relative error = 2.1005955762433695270036984555183 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5618
y2[1] (analytic) = 1.1537023961794378156845968658031
y2[1] (numeric) = 1.1537023925103766666774469856279
absolute error = 3.6690611490071498801752e-09
relative error = 3.1802492229863522847965832955301e-07 %
h = 0.0001
y1[1] (analytic) = 2.5327103957757674273727311660588
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0532848571715644270994432308432
relative error = 2.1038669585135616154818067387418 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5619
y2[1] (analytic) = 1.1537556714504146229379868103815
y2[1] (numeric) = 1.1537556677514626151111977430023
absolute error = 3.6989520078267890673792e-09
relative error = 3.2060098159056029160029960568951e-07 %
h = 0.0001
y1[1] (analytic) = 2.5327950228724564573313859822706
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.053369484268253457058098047055
relative error = 2.1071379162663877125526794585813 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.562
y2[1] (analytic) = 1.1538089551838347086351944566842
y2[1] (numeric) = 1.1538089514547969961396621336033
absolute error = 3.7290377124955323230809e-09
relative error = 3.2319368780608832670875201597611e-07 %
h = 0.0001
y1[1] (analytic) = 2.5328796446411952630054347476258
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0534541060369922627321468124102
relative error = 2.1104084495323309457525517291988 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=564.5MB, alloc=4.1MB, time=82.88
NO POLE
NO POLE
x[1] = 0.5621
y2[1] (analytic) = 1.1538622473791652354424629788508
y2[1] (numeric) = 1.1538622436198460179845268458408
absolute error = 3.7593192174579361330100e-09
relative error = 3.2580312129950499724217414556586e-07 %
h = 0.0001
y1[1] (analytic) = 2.5329642610811376267081945867896
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.053538722476934626434906651574
relative error = 2.1136785583418714416842723463099 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5622
y2[1] (analytic) = 1.1539155480358732814069312104362
y2[1] (numeric) = 1.1539155442460758011092223790875
absolute error = 3.7897974802977088313487e-09
relative error = 3.2842936268156518867279803770191e-07 %
h = 0.0001
y1[1] (analytic) = 2.5330488721914373840409469997339
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0536233335872343837676590645183
relative error = 2.1169482427254863257247330521991 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5623
y2[1] (analytic) = 1.1539688571534258399619628639348
y2[1] (numeric) = 1.1539688533329523782189230436789
absolute error = 3.8204734617430398202559e-09
relative error = 3.3107249281988977171018878937111e-07 %
h = 0.0001
y1[1] (analytic) = 2.5331334779712484239013995057166
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.053707939367045423628111570501
relative error = 2.1202175027136497217325131613407 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5624
y2[1] (analytic) = 1.1540221747312898199324765964423
y2[1] (numeric) = 1.154022170879941694260546960913
absolute error = 3.8513481256719296355293e-09
relative error = 3.3373259283936230139528862661568e-07 %
h = 0.0001
y1[1] (analytic) = 2.5332180784197246884921467542982
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0537925398155216882188588190826
relative error = 2.1234863383368327517557394572691 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=568.4MB, alloc=4.1MB, time=83.46
x[1] = 0.5625
y2[1] (analytic) = 1.1540755007689320455402769214025
y2[1] (numeric) = 1.1540754968865096064227560630508
absolute error = 3.8824224391175208583517e-09
relative error = 3.3640974412252565204560290806216e-07 %
h = 0.0001
y1[1] (analytic) = 2.5333026735360201733291311033082
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0538771349318171730558431680926
relative error = 2.1267547496255035357401612711322 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5626
y2[1] (analytic) = 1.1541288352658192564093859663841
y2[1] (numeric) = 1.1541288313521218841359560933158
absolute error = 3.9136973722734298730683e-09
relative error = 3.3910402830997858801096857096077e-07 %
h = 0.0001
y1[1] (analytic) = 2.5333872633192889272501026636789
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0539617247150859269768147284633
relative error = 2.1300227366101271912374406525875 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5627
y2[1] (analytic) = 1.1541821782214181075713760768367
y2[1] (numeric) = 1.1541821742762442090722966058944
absolute error = 3.9451738984990794709423e-09
relative error = 3.4181552730077227019942857695327e-07 %
h = 0.0001
y1[1] (analytic) = 2.5334718477686850524230788110611
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0540463091644820521497908758455
relative error = 2.1332902993211658331136575436109 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5628
y2[1] (analytic) = 1.1542355296351951694707032657701
y2[1] (numeric) = 1.1542355256583421751456709659357
absolute error = 3.9768529943250322998344e-09
relative error = 3.4454432325280669833262833254081e-07 %
h = 0.0001
y1[1] (analytic) = 2.5335564268833627043548031641364
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0541308882791597040815152289208
relative error = 2.1365574377890785732580298658214 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=572.2MB, alloc=4.1MB, time=84.03
x[1] = 0.5629
y2[1] (analytic) = 1.1542888895066169279700415093059
y2[1] (numeric) = 1.1542888854978812885117163495514
absolute error = 4.0087356394583251597545e-09
relative error = 3.4729049858322708889042372049542e-07 %
h = 0.0001
y1[1] (analytic) = 2.5336410006624760918992040295428
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0542154620582730916259160943272
relative error = 2.1398241520443215202918484320307 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.563
y2[1] (analytic) = 1.1543422578351497843556178880455
y2[1] (numeric) = 1.1543422537943269675678137438161
absolute error = 4.0408228167878041442294e-09
relative error = 3.5005413596882018870404020575863e-07 %
h = 0.0001
y1[1] (analytic) = 2.5337255691051794772658523133289
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0543000305009764769925643781133
relative error = 2.143090442117347779277626592704 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5631
y2[1] (analytic) = 1.1543956346202600553425485742043
y2[1] (numeric) = 1.154395630547144542953087946767
absolute error = 4.0731155123894606274373e-09
relative error = 3.5283531834641052415776865629140e-07 %
h = 0.0001
y1[1] (analytic) = 2.5338101322106271760284188988503
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0543845936064241757551309636347
relative error = 2.146356308038607451428464527976 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5632
y2[1] (analytic) = 1.1544490198614139730801756644553
y2[1] (numeric) = 1.1544490157557992575484075674041
absolute error = 4.1056147155317680970512e-09
relative error = 3.5563412891325658595846948294951e-07 %
h = 0.0001
y1[1] (analytic) = 2.5338946899779735571331314910267
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0544691513737705568598435558111
relative error = 2.149621749838547633817628096087 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5633
y2[1] (analytic) = 1.1545024135580776851574048584317
y2[1] (numeric) = 1.1545024094197562664763850256901
absolute error = 4.1383214186810198327416e-09
relative error = 3.5845065112744694943291547066234e-07 %
h = 0.0001
y1[1] (analytic) = 2.5339792424063730429072309268718
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0545537038021700426339429916562
relative error = 2.152886767547612419088342148884 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.1MB, time=84.60
NO POLE
NO POLE
x[1] = 0.5634
y2[1] (analytic) = 1.1545558157097172546080439828334
y2[1] (numeric) = 1.1545558115384806371013765525504
absolute error = 4.1712366175066674302830e-09
relative error = 3.6128496870829633031253222705485e-07 %
h = 0.0001
y1[1] (analytic) = 2.5340637894949801090674269522144
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0546382508907771087941390169988
relative error = 2.1561513611962428951637982253031 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5635
y2[1] (analytic) = 1.154609226315798659916142361084
y2[1] (numeric) = 1.1546092221114373490294821898732
absolute error = 4.2043613108866601712108e-09
relative error = 3.6413716563674157596531681143498e-07 %
h = 0.0001
y1[1] (analytic) = 2.5341483312429492847283534645241
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0547227926387462844550655293085
relative error = 2.1594155308148771449573765335832 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5636
y2[1] (analytic) = 1.1546626453757877950213310284866
y2[1] (numeric) = 1.1546626411380912941085457905094
absolute error = 4.2376965009127852379772e-09
relative error = 3.6700732615573759203492800268217e-07 %
h = 0.0001
y1[1] (analytic) = 2.5342328676494351524110232217577
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0548073290452321521377352865421
relative error = 2.1626792764339502460830821330975 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5637
y2[1] (analytic) = 1.1547160728891504693241637928222
y2[1] (numeric) = 1.1547160686179072764281550182726
absolute error = 4.2712431928960087745496e-09
relative error = 3.6989553477065320444653961335939e-07 %
h = 0.0001
y1[1] (analytic) = 2.5343173987135923480512820171425
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0548918601093893477779940819269
relative error = 2.165942598083894270566195226715 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.1MB, time=85.18
NO POLE
NO POLE
x[1] = 0.5638
y2[1] (analytic) = 1.1547695088553524076914591403404
y2[1] (numeric) = 1.1547695045503500123196413479391
absolute error = 4.3050023953718177924013e-09
relative error = 3.7280187624966695673963359511871e-07 %
h = 0.0001
y1[1] (analytic) = 2.5344019244345755610082623198101
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0549763858303725607349743845945
relative error = 2.1692054957951382845541354745386 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5639
y2[1] (analytic) = 1.1548229532738592504616429870865
y2[1] (numeric) = 1.154822948934884130356080065248
absolute error = 4.3389751201055629218385e-09
relative error = 3.7572643562416284268744700639393e-07 %
h = 0.0001
y1[1] (analytic) = 2.5344864448115395340728363811988
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0550609062073365337995484459832
relative error = 2.1724679695981083480275402400631 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.564
y2[1] (analytic) = 1.1548764061441365534500922755128
y2[1] (numeric) = 1.1548764017709741713522902669011
absolute error = 4.3731623820978020086117e-09
relative error = 3.7866929818912597416318167808562e-07 %
h = 0.0001
y1[1] (analytic) = 2.5345709598436390634760688071373
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0551454212394360632027808719217
relative error = 2.1757300195232275145115566796189 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5641
y2[1] (analytic) = 1.1549298674656497879544794163201
y2[1] (numeric) = 1.154929863058084588364834860563
absolute error = 4.4075651995896445557571e-09
relative error = 3.8163054950353818421290856151600e-07 %
h = 0.0001
y1[1] (analytic) = 2.5346554695300289988976685955271
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0552299309258259986243806603115
relative error = 2.1789916456009158307873475861755 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=583.6MB, alloc=4.1MB, time=85.76
NO POLE
NO POLE
x[1] = 0.5642
y2[1] (analytic) = 1.1549833372378643407601175754771
y2[1] (numeric) = 1.1549833327956797466920205648609
absolute error = 4.4421845940680970106162e-09
relative error = 3.8461027539077356529536354148108e-07 %
h = 0.0001
y1[1] (analytic) = 2.5347399738698642434744406395387
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0553144352656612432011527043231
relative error = 2.1822528478615903366038108985191 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5643
y2[1] (analytic) = 1.1550368154602455141453068063625
y2[1] (numeric) = 1.1550368109832239238738979093848
absolute error = 4.4770215902714088969777e-09
relative error = 3.8760856193899394264851612887225e-07 %
h = 0.0001
y1[1] (analytic) = 2.534824472862299753808736696236
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0553989342580967535354487610204
relative error = 2.1855136263356650643895127868186 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5644
y2[1] (analytic) = 1.1550903021322585258866810269772
y2[1] (numeric) = 1.1550902976201813096922612346874
absolute error = 4.5120772161944197922898e-09
relative error = 3.9062549550154428274317846573645e-07 %
h = 0.0001
y1[1] (analytic) = 2.5349089665064905399769058205462
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0554834279022875397036178853306
relative error = 2.188773981053551038964834225735 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5645
y2[1] (analytic) = 1.1551437972533685092645558421743
y2[1] (numeric) = 1.1551437927060160061706486922841
absolute error = 4.5473525030939071498902e-09
relative error = 3.9366116269734803678389241200009e-07 %
h = 0.0001
y1[1] (analytic) = 2.5349934548015916655377442644889
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0555679161973886652644563292733
relative error = 2.1920339120456562772543309661187 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=587.4MB, alloc=4.1MB, time=86.34
x[1] = 0.5646
y2[1] (analytic) = 1.1551973008230405130682772108507
y2[1] (numeric) = 1.1551972962401920275743422446531
absolute error = 4.5828484854939349661976e-09
relative error = 3.9671565041130241921706911691928e-07 %
h = 0.0001
y1[1] (analytic) = 2.5350779377467582475409448415813
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0556523991425552472676569063657
relative error = 2.1952934193423857879993068164891 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5647
y2[1] (analytic) = 1.1552508128407395016015709580497
y2[1] (numeric) = 1.1552508082221733004103676652354
absolute error = 4.6185662011912032928143e-09
relative error = 3.9978904579467362120689725336646e-07 %
h = 0.0001
y1[1] (analytic) = 2.5351624153411454565355457563342
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0557368767369424562622578211186
relative error = 2.1985525029741415714706001454374 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5648
y2[1] (analytic) = 1.155304333305930354687893131919
y2[1] (numeric) = 1.1553043286514236634274945384345
absolute error = 4.6545066912603985934845e-09
relative error = 4.0288143626549195903914283510465e-07 %
h = 0.0001
y1[1] (analytic) = 2.5352468875839085165783788987547
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0558213489797055163050909635391
relative error = 2.2018111629713226191815835161624 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5649
y2[1] (analytic) = 1.1553578622180778676757812054718
y2[1] (numeric) = 1.1553578575274068676162362596168
absolute error = 4.6906710000595449458550e-09
relative error = 4.0599290950894695741318498277569e-07 %
h = 0.0001
y1[1] (analytic) = 2.5353313544742027052425176037705
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0559058158699997049692296685549
relative error = 2.2050693993643249136013763643456 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.565
y2[1] (analytic) = 1.1554113995766467514442061230971
y2[1] (numeric) = 1.1554113948495865762088500351114
absolute error = 4.7270601752353560879857e-09
relative error = 4.0912355347778236758273220003973e-07 %
h = 0.0001
memory used=591.2MB, alloc=4.1MB, time=86.93
y1[1] (analytic) = 2.5354158160111833536257238754924
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0559902774069803533524359402768
relative error = 2.2083272121835414278682706306582 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5651
y2[1] (analytic) = 1.155464945381101632407925191765
y2[1] (numeric) = 1.1554649406174263646793368822102
absolute error = 4.7636752677285883095548e-09
relative error = 4.1227345639269112030548694181377e-07 %
h = 0.0001
y1[1] (analytic) = 2.5355002721940058463588950762297
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0560747335898028460856071410141
relative error = 2.2115846014593621255033692591543 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5652
y2[1] (analytic) = 1.1555184996309070525228358168756
y2[1] (numeric) = 1.1555184948303897207434416291676
absolute error = 4.8005173317793941877080e-09
relative error = 4.1544270674271021356244669668953e-07 %
h = 0.0001
y1[1] (analytic) = 2.5355847230218256216145100801739
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0561591844176226213412221449583
relative error = 2.2148415672221739601244374728527 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5653
y2[1] (analytic) = 1.1555720623255274692913300826944
y2[1] (numeric) = 1.1555720574879400443586529152009
absolute error = 4.8375874249326771674935e-09
relative error = 4.1863139328561553500692028876495e-07 %
h = 0.0001
y1[1] (analytic) = 2.5356691684937981711150748916672
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0562436298895951708417869564516
relative error = 2.2180981095023608751599667378871 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5654
y2[1] (analytic) = 1.1556256334644272557676501773249
y2[1] (numeric) = 1.1556256285895406477242031904902
absolute error = 4.8748866080434469868347e-09
relative error = 4.2183960504831661910425183741189e-07 %
h = 0.0001
y1[1] (analytic) = 2.5357536086090790401415677279701
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0563280700048760398682797927545
relative error = 2.2213542283303038035634513275415 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.1MB, time=87.50
NO POLE
NO POLE
x[1] = 0.5655
y2[1] (analytic) = 1.1556792130470707005632446621613
y2[1] (numeric) = 1.1556792081346547552810687161781
absolute error = 4.9124159452821759459832e-09
relative error = 4.2506743132725133892247951045157e-07 %
h = 0.0001
y1[1] (analytic) = 2.5358380433668238275418835664447
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0564125047626208272685956312291
relative error = 2.2246099237363806675278773976087 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5656
y2[1] (analytic) = 1.1557328010729220078521255857696
y2[1] (numeric) = 1.1557327961227455037119695643702
absolute error = 4.9501765041401560213994e-09
relative error = 4.2831496168878053253460258636556e-07 %
h = 0.0001
y1[1] (analytic) = 2.535922472766188185739278156069
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0564969341619851854659902208534
relative error = 2.2278651957509663782004244844854 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5657
y2[1] (analytic) = 1.1557863975414452973762264421427
y2[1] (numeric) = 1.1557863925532759419413696181346
absolute error = 4.9881693554348568240081e-09
relative error = 4.3158228596958256399317854900359e-07 %
h = 0.0001
y1[1] (analytic) = 2.5360068968063278207408114931966
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.056581358202124820467523557981
relative error = 2.2311200444044328353973793374107 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5658
y2[1] (analytic) = 1.1558400024521046044507609732774
y2[1] (numeric) = 1.1558399974257090311354765715022
absolute error = 5.0263955733152844017752e-09
relative error = 4.3486949427704781883789901319426e-07 %
h = 0.0001
y1[1] (analytic) = 2.53609131548639849214579076148
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0566657768821954918725028262644
relative error = 2.2343744697271489273192619964315 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.1MB, time=88.09
NO POLE
NO POLE
x[1] = 0.5659
y2[1] (analytic) = 1.1558936158043638799695828160169
y2[1] (numeric) = 1.1558936107395076447022419294666
absolute error = 5.0648562352673408865503e-09
relative error = 4.3817667698967313409672039630334e-07 %
h = 0.0001
y1[1] (analytic) = 2.5361757288055560131542127358697
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0567501902013530128809248006541
relative error = 2.2376284717494805302661640274712 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.566
y2[1] (analytic) = 1.1559472375976869904105459931083
y2[1] (numeric) = 1.1559472324941345682913610079843
absolute error = 5.1035524221191849851240e-09
relative error = 4.4150392475745616274151090754613e-07 %
h = 0.0001
y1[1] (analytic) = 2.5362601367629562505752056506075
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0568345981587532503019177153919
relative error = 2.2408820505017905083532988261491 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5661
y2[1] (analytic) = 1.1560008678315377178408662484196
y2[1] (numeric) = 1.1560008626890524997942729339743
absolute error = 5.1424852180465933144453e-09
relative error = 4.4485132850228967255892079595255e-07 %
h = 0.0001
y1[1] (analytic) = 2.5363445393577551248354705311282
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0569190007535521245621825959126
relative error = 2.2441352060144387132267639018607 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5662
y2[1] (analytic) = 1.1560545065053797599224832262628
y2[1] (numeric) = 1.1560545013237240493441606453184
absolute error = 5.1816557105783225809444e-09
relative error = 4.4821897941835577939721373814351e-07 %
h = 0.0001
y1[1] (analytic) = 2.5364289365891086099877219897857
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0570033979849056097144340545701
relative error = 2.2473879383177819837795150537286 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=602.7MB, alloc=4.1MB, time=88.67
NO POLE
NO POLE
x[1] = 0.5663
y2[1] (analytic) = 1.1561081536186767299174234947703
y2[1] (numeric) = 1.1561081483976117393159508908613
absolute error = 5.2210649906014726039090e-09
relative error = 4.5160696897252011475007902723641e-07 %
h = 0.0001
y1[1] (analytic) = 2.5365133284561727337191284853185
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0570877898519697334458405501029
relative error = 2.2506402474421741458675523500217 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5664
y2[1] (analytic) = 1.15616180917089215669316441327
y2[1] (numeric) = 1.1561618039101780043263142304101
absolute error = 5.2607141523668501828599e-09
relative error = 4.5501538890472592763828478316207e-07 %
h = 0.0001
y1[1] (analytic) = 2.5365977149581035773597520459711
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0571721763539005770864641107555
relative error = 2.2538921334179660120263178227274 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5665
y2[1] (analytic) = 1.1562154731614894847279988436062
y2[1] (numeric) = 1.156215467860885191233665034735
absolute error = 5.3006042934943338088712e-09
relative error = 4.5844433122838812075002872171065e-07 %
h = 0.0001
y1[1] (analytic) = 2.5366820960940572758909874561865
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0572565574898542756176995209709
relative error = 2.2571435962755053811873047889382 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5666
y2[1] (analytic) = 1.1562691455899320741164007053519
y2[1] (numeric) = 1.1562691402491955591381614855686
absolute error = 5.3407365149782392197833e-09
relative error = 4.6189388823078722080113339856725e-07 %
h = 0.0001
y1[1] (analytic) = 2.5367664718631900179540009067851
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0573409332589870176807129715695
relative error = 2.2603946360451370383948787107457 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=606.5MB, alloc=4.1MB, time=89.23
x[1] = 0.5667
y2[1] (analytic) = 1.1563228264556832005743913748602
y2[1] (numeric) = 1.1563228210745712793817055756064
absolute error = 5.3811119211926857992538e-09
relative error = 4.6536415247346328307600422715822e-07 %
h = 0.0001
y1[1] (analytic) = 2.5368508422646580458581681085459
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0574253036604550455848801733303
relative error = 2.2636452527572027545233095053886 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5668
y2[1] (analytic) = 1.1563765157582060554449069280987
y2[1] (numeric) = 1.1563765103364744355479431085066
absolute error = 5.4217316198969638195921e-09
relative error = 4.6885521679260973011036867101383e-07 %
h = 0.0001
y1[1] (analytic) = 2.5369352072976176555895118691059
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0575096686934146553162239338903
relative error = 2.2668954464420412859940152174251 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5669
y2[1] (analytic) = 1.1564302134969637457031662272166
y2[1] (numeric) = 1.1564302080343670234622636988902
absolute error = 5.4625967222409025283264e-09
relative error = 4.7236717429946712447710532317470e-07 %
h = 0.0001
y1[1] (analytic) = 2.5370195669612251968191391330927
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0575940283570221965458511978771
relative error = 2.2701452171299883744930169646968 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.567
y2[1] (analytic) = 1.1564839196714192939620398507875
y2[1] (numeric) = 1.1564839141677109511918007723408
absolute error = 5.5037083427702390784467e-09
relative error = 4.7590011838071687563607003484025e-07 %
h = 0.0001
y1[1] (analytic) = 2.5371039212546370729116774854067
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0576783826504340726383895501911
relative error = 2.2733945648513767466886050699314 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5671
y2[1] (analytic) = 1.1565376342810356384774198676763
y2[1] (numeric) = 1.1565376287359680390454315654047
absolute error = 5.5450675994319883022716e-09
relative error = 4.7945414269887488080922900830173e-07 %
h = 0.0001
y1[1] (analytic) = 2.5371882701770097409337111175672
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0577627315728067406604231823516
relative error = 2.2766434896365361139492162897784 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.1MB, time=89.76
NO POLE
NO POLE
x[1] = 0.5672
y2[1] (analytic) = 1.1565913573252756331535904544757
y2[1] (numeric) = 1.1565913517386000195737771255911
absolute error = 5.5866756135798133288846e-09
relative error = 4.8302934119268509984226666077382e-07 %
h = 0.0001
y1[1] (analytic) = 2.5372726137274997116622162570402
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0578470751232967113889283218246
relative error = 2.2798919915157931720615220532363 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5673
y2[1] (analytic) = 1.1566450888036020475485993564594
y2[1] (numeric) = 1.1566450831750685375692023113719
absolute error = 5.6285335099793970450875e-09
relative error = 4.8662580807751306401403985553537e-07 %
h = 0.0001
y1[1] (analytic) = 2.5373569519052635495929960594612
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0579314133010605493197081242456
relative error = 2.2831400705194716009487276212815 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5674
y2[1] (analytic) = 1.1566988287154775668796301919964
y2[1] (numeric) = 1.1566988230448351500658157921816
absolute error = 5.6706424168138143998148e-09
relative error = 4.9024363784573931875496967605074e-07 %
h = 0.0001
y1[1] (analytic) = 2.53744128470945787294911496367
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0580157461052548726758270284544
relative error = 2.2863877266778920643890820796827 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5675
y2[1] (analytic) = 1.1567525770603647920283756003752
y2[1] (numeric) = 1.1567525713473613263394700484174
absolute error = 5.7130034656889055519578e-09
relative error = 4.9388292526715280023591644201889e-07 %
h = 0.0001
y1[1] (analytic) = 2.5375256121392393536893325094736
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.058100073535036353416044574258
relative error = 2.2896349600213722097345990769745 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.1MB, time=90.34
NO POLE
NO POLE
x[1] = 0.5676
y2[1] (analytic) = 1.1568063338377262395464112329824
y2[1] (numeric) = 1.1568063280821084479077613714395
absolute error = 5.7556177916386498615429e-09
relative error = 4.9754376538934414578876000652273e-07 %
h = 0.0001
y1[1] (analytic) = 2.537609934193764717516536618051
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0581843955895617172432486828354
relative error = 2.2928817705802266676299882195072 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5677
y2[1] (analytic) = 1.156860099047024341660570587782
y2[1] (numeric) = 1.1568600932485378085300298635705
absolute error = 5.7984865331305407242115e-09
relative error = 5.0122625353809893812019759022795e-07 %
h = 0.0001
y1[1] (analytic) = 2.5376942508721907438861763349178
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0582687122679877436128883997022
relative error = 2.2961281583847670517317970356709 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5678
y2[1] (analytic) = 1.1569138726877214462783206870432
y2[1] (numeric) = 1.156913866846110614207359438096
absolute error = 5.8416108320709612489472e-09
relative error = 5.0493048531779088328016390544433e-07 %
h = 0.0001
y1[1] (analytic) = 2.5377785621736742660146940353642
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0583530235694712657414061001486
relative error = 2.2993741234653019584277634212579 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5679
y2[1] (analytic) = 1.1569676547592798169931385982608
y2[1] (numeric) = 1.1569676488742879831825778192641
absolute error = 5.8849918338105607789967e-09
relative error = 5.0865655661177492234637831447779e-07 %
h = 0.0001
y1[1] (analytic) = 2.5378628680973721708879570922837
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0584373294931691706146691570681
relative error = 2.3026196658521369665563784780959 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=617.9MB, alloc=4.1MB, time=90.90
NO POLE
NO POLE
x[1] = 0.568
y2[1] (analytic) = 1.157021445261161633089888798216
y2[1] (numeric) = 1.1570214393325309459402565422858
absolute error = 5.9286306871496322559302e-09
relative error = 5.1240456358278027678651136998882e-07 %
h = 0.0001
y1[1] (analytic) = 2.5379471686424413992696890063077
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0585216300382383989964010710921
relative error = 2.3058647855755746371266596580326 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5681
y2[1] (analytic) = 1.1570752441928289895502013801237
y2[1] (numeric) = 1.1570752382203004452067109533348
absolute error = 5.9725285443434904267889e-09
relative error = 5.1617460267330342745965812402868e-07 %
h = 0.0001
y1[1] (analytic) = 2.5380314638080389457098999981608
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0586059252038359454366120629452
relative error = 2.3091094826659145130381341243628 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5682
y2[1] (analytic) = 1.157129051553743897057851103811
y2[1] (numeric) = 1.1571290455370573359500002095475
absolute error = 6.0166865611078508942635e-09
relative error = 5.1996677060600102721852524639226e-07 %
h = 0.0001
y1[1] (analytic) = 2.5381157535933218585533170631541
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0586902149891188582800291279385
relative error = 2.3123537571534531188010322429158 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5683
y2[1] (analytic) = 1.1571828673433682820041372888757
y2[1] (numeric) = 1.157182861282262385379927279023
absolute error = 6.0611058966242100098527e-09
relative error = 5.2378116438408274707421924265889e-07 %
h = 0.0001
y1[1] (analytic) = 2.5382000379974472399478134877304
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0587744993932442396745255525148
relative error = 2.315597609068483960256691114915 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.1MB, time=91.47
NO POLE
NO POLE
x[1] = 0.5684
y2[1] (analytic) = 1.1572366915611639864932645507682
y2[1] (numeric) = 1.1572366854553762729480389408231
absolute error = 6.1057877135452256099451e-09
relative error = 5.2761788129170405588507850558166e-07 %
h = 0.0001
y1[1] (analytic) = 2.5382843170195722458528378279791
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0588587784153692455795498927635
relative error = 2.3188410384412975242981680639023 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5685
y2[1] (analytic) = 1.1572905242065927683477243797455
y2[1] (numeric) = 1.1572905180558595903476257849724
absolute error = 6.1507331780000985947731e-09
relative error = 5.3147701889435893353148078795828e-07 %
h = 0.0001
y1[1] (analytic) = 2.5383685906588540860478423500338
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0589430520546510857745544148182
relative error = 2.3220840453021812785910639888608 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5686
y2[1] (analytic) = 1.1573443652791163011136775626413
y2[1] (numeric) = 1.1573443590831728415137222124582
absolute error = 6.1959434595999553501831e-09
relative error = 5.3535867503927251753822550115102e-07 %
h = 0.0001
y1[1] (analytic) = 2.5384528589144500241407109322718
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0590273203102470238674229970562
relative error = 2.3253266296814196712945564959362 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5687
y2[1] (analytic) = 1.1573982147781961740663374474004
y2[1] (numeric) = 1.1573982085367764426231064352306
absolute error = 6.2414197314432310121698e-09
relative error = 5.3926294785579368310643213471801e-07 %
h = 0.0001
y1[1] (analytic) = 2.5385371217855173775761864292274
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0591115831813143773028984940118
relative error = 2.3285687916092941307826427209052 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=625.6MB, alloc=4.1MB, time=92.05
x[1] = 0.5688
y2[1] (analytic) = 1.1574520727032938922153540503216
y2[1] (numeric) = 1.1574520664161307220943004762023
absolute error = 6.2871631701210535741193e-09
relative error = 5.4318993575578755651666763364115e-07 %
h = 0.0001
y1[1] (analytic) = 2.5386213792712135176442974971379
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0591958406670105173710095619223
relative error = 2.331810531116083065365591754835 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5689
y2[1] (analytic) = 1.1575059390538708763101990059571
y2[1] (numeric) = 1.1575059327206959205875701692488
absolute error = 6.3331749557226288367083e-09
relative error = 5.4713973743402796186527965522098e-07 %
h = 0.0001
y1[1] (analytic) = 2.538705631370695869488784881036
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0592800927664928692154969458204
relative error = 2.3350518482320618630116065852056 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.569
y2[1] (analytic) = 1.1575598138293884628455513596132
y2[1] (numeric) = 1.1575598074499321910049251592084
absolute error = 6.3794562718406262004048e-09
relative error = 5.5111245186858980109578786472870e-07 %
h = 0.0001
y1[1] (analytic) = 2.5387898780831219121155271633056
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.05936433947891891184223922809
relative error = 2.3382927429875028910686954649239 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5691
y2[1] (analytic) = 1.1576136970293079040666842023987
y2[1] (numeric) = 1.157613690603299598490118901882
absolute error = 6.4260083055765653005167e-09
relative error = 5.5510817832124136728731124432296e-07 %
h = 0.0001
y1[1] (analytic) = 2.538874119407649178400965973616
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0594485808034461781276780384004
relative error = 2.3415332154126754959867526216049 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5692
y2[1] (analytic) = 1.1576675886530903679748521487683
y2[1] (numeric) = 1.1576675821802581204286486640332
absolute error = 6.4728322475462034847351e-09
relative error = 5.5912701633783659116208333491028e-07 %
h = 0.0001
y1[1] (analytic) = 2.5389583553434352551005306601502
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0595328167392322548272427249346
relative error = 2.3447732655378460030398482195539 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=629.4MB, alloc=4.1MB, time=92.65
NO POLE
NO POLE
x[1] = 0.5693
y2[1] (analytic) = 1.1577214887001969383326796565049
y2[1] (numeric) = 1.1577214821802676464477555233885
absolute error = 6.5199292918849241331164e-09
relative error = 5.6316906574870722077391348825699e-07 %
h = 0.0001
y1[1] (analytic) = 2.5390425858896377828570624220441
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0596170472854347825837744868285
relative error = 2.3480128933932777160487274869523 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5694
y2[1] (analytic) = 1.1577753971700886146695501890894
y2[1] (numeric) = 1.157775390602787978416424368637
absolute error = 6.5673006362531258204524e-09
relative error = 5.6723442666905493433993216207027e-07 %
h = 0.0001
y1[1] (analytic) = 2.5391268110454144562092379029502
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0597012724412114559359499677346
relative error = 2.3512520990092309171035189206536 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5695
y2[1] (analytic) = 1.1578293140622263122869962204019
y2[1] (numeric) = 1.1578293074472788304453838994306
absolute error = 6.6149474818416123209713e-09
relative error = 5.7132319949934338617745345474329e-07 %
h = 0.0001
y1[1] (analytic) = 2.5392110308099230235999922456449
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0597854922057200233267043104293
relative error = 2.354490882415962866286651481236 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5696
y2[1] (analytic) = 1.1578832393760708622640900817024
y2[1] (numeric) = 1.1578832327131998288871066263839
absolute error = 6.6628710333769834553185e-09
relative error = 5.7543548492569018570834574598004e-07 %
h = 0.0001
y1[1] (analytic) = 2.5392952451823212873849416075912
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0598697065781182871116536723756
relative error = 2.3577292436437278013959806907049 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.1MB, time=93.24
NO POLE
NO POLE
x[1] = 0.5697
y2[1] (analytic) = 1.1579371731110830114628356508352
y2[1] (numeric) = 1.1579371664000105123358088710742
absolute error = 6.7110724991270267797610e-09
relative error = 5.7957138392025880949290015483428e-07 %
h = 0.0001
y1[1] (analytic) = 2.5393794541617671038408051373761
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0599539155575641035675172021605
relative error = 2.360967182722776937668123545556 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5698
y2[1] (analytic) = 1.1579911152667234225335608836043
y2[1] (numeric) = 1.1579911085071703316274507660415
absolute error = 6.7595530909061101175628e-09
relative error = 5.8373099774165044625553685194263e-07 %
h = 0.0001
y1[1] (analytic) = 2.539463657747418383173826411936
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0600381191432153829005384767204
relative error = 2.3642046996833584675020021577029 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5699
y2[1] (analytic) = 1.1580450658424526739203111872661
y2[1] (numeric) = 1.1580450590341386498397362547886
absolute error = 6.8083140240805749324775e-09
relative error = 5.8791442793529577486462496020022e-07 %
h = 0.0001
y1[1] (analytic) = 2.5395478559384330895281943344876
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.060122317334230089254906399272
relative error = 2.3674417945557175601825960359675 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.57
y2[1] (analytic) = 1.158099024837731259866243636084
y2[1] (numeric) = 1.1580990179803747422921130917811
absolute error = 6.8573565175741305443029e-09
relative error = 5.9212177633384667522861024353287e-07 %
h = 0.0001
y1[1] (analytic) = 2.5396320487339692409944634930788
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0602065101297662407211755578632
relative error = 2.3706784673700963616049029207394 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.1MB, time=93.82
NO POLE
NO POLE
x[1] = 0.5701
y2[1] (analytic) = 1.1581529922520195904190220288925
y2[1] (numeric) = 1.1581529853453377965457728424471
absolute error = 6.9066817938732491864454e-09
relative error = 5.9635314505756787207094320894788e-07 %
h = 0.0001
y1[1] (analytic) = 2.5397162361331849096179739796762
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0602906975289819093446860444606
relative error = 2.373914718156733993998108084521 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5702
y2[1] (analytic) = 1.158206968084777991436212788616
y2[1] (numeric) = 1.1582069611284869124036508831776
absolute error = 6.9562910790325619054384e-09
relative error = 6.0060863651472851154602871175246e-07 %
h = 0.0001
y1[1] (analytic) = 2.5398004181352382214072706697044
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0603748795310352211339827344888
relative error = 2.3771505469458665556499620110495 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5703
y2[1] (analytic) = 1.158260952335466704590681703689
y2[1] (numeric) = 1.1582609453292811019104264013264
absolute error = 7.0061856026802553023626e-09
relative error = 6.0488835340199367065877699824773e-07 %
h = 0.0001
y1[1] (analytic) = 2.5398845947392873563425219619542
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0604590561350843560692340267386
relative error = 2.3803859537677271206313663657847 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5704
y2[1] (analytic) = 1.1583149450035458873759915113221
y2[1] (numeric) = 1.1583149379471792893525223952098
absolute error = 7.0563665980234691161123e-09
relative error = 6.0919239870481579945004733245877e-07 %
h = 0.0001
y1[1] (analytic) = 2.5399687659444905483839379787732
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0605432273402875481106500435576
relative error = 2.3836209386525457385211681704445 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.1MB, time=94.40
NO POLE
NO POLE
x[1] = 0.5705
y2[1] (analytic) = 1.1583689460884756131118003225629
y2[1] (numeric) = 1.158368938981640311258105674107
absolute error = 7.1068353018536946484559e-09
relative error = 6.1352087569782609591066869086701e-07 %
h = 0.0001
y1[1] (analytic) = 2.5400529317500060854801882264569
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0606273931458030852069002912413
relative error = 2.3868555016305494341311620944727 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5706
y2[1] (analytic) = 1.1584229555897158709492608890942
y2[1] (numeric) = 1.1584229484321229163970868582598
absolute error = 7.1575929545521740308344e-09
relative error = 6.1787388794522581358638143593717e-07 %
h = 0.0001
y1[1] (analytic) = 2.5401370921549923095768187157553
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0607115535507893093035307805397
relative error = 2.3900896427319622072313007762298 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5707
y2[1] (analytic) = 1.1584769735067265658764207117182
y2[1] (numeric) = 1.1584769662980857657811203788729
absolute error = 7.2086408000953003328453e-09
relative error = 6.2225153930117750183639402135711e-07 %
h = 0.0001
y1[1] (analytic) = 2.5402212471586076166246685424101
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0607957085544046163513806071945
relative error = 2.3933233619870050322751130867351 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5708
y2[1] (analytic) = 1.1585309998389675187236229904716
y2[1] (numeric) = 1.1585309925789874326636044781136
absolute error = 7.2599800860600185123580e-09
relative error = 6.2665393391019617870817583829643e-07 %
h = 0.0001
y1[1] (analytic) = 2.5403053967600104565882859276393
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0608798581558074563149979924237
relative error = 2.3965566594258958581253302488742 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=644.7MB, alloc=4.1MB, time=94.98
x[1] = 0.5709
y2[1] (analytic) = 1.1585850345858984661689084163176
y2[1] (numeric) = 1.1585850272742864025396812091119
absolute error = 7.3116120636292272072057e-09
relative error = 6.3108117620754043639105167195216e-07 %
h = 0.0001
y1[1] (analytic) = 2.5403895409583593334543437184849
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0609640023541563331810557832693
relative error = 2.3997895350788496077797197249765 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.571
y2[1] (analytic) = 1.158639077746979060743417804361
y2[1] (numeric) = 1.1586390703834410731462364359607
absolute error = 7.3635379875971813684003e-09
relative error = 6.3553337091960347921133203270926e-07 %
h = 0.0001
y1[1] (analytic) = 2.540473679752812805240054347939
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0610481411486098049667664127234
relative error = 2.4030219889760781780971267856779 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5711
y2[1] (analytic) = 1.1586931293216688708367955685321
y2[1] (numeric) = 1.1586931219059097544618998337155
absolute error = 7.4157591163748957348166e-09
relative error = 6.4001062306430409413173564396842e-07 %
h = 0.0001
y1[1] (analytic) = 2.5405578131425294840015842547646
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.061132274538326483728296319549
relative error = 2.4062540211477904395237236730486 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5712
y2[1] (analytic) = 1.1587471893094273807025940376861
y2[1] (numeric) = 1.1587471818411506687070448883945
absolute error = 7.4682767119955491492916e-09
relative error = 6.4451303795147755371785649764248e-07 %
h = 0.0001
y1[1] (analytic) = 2.5406419411266680358424677629273
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0612164025224650355691798277117
relative error = 2.4094856316241922358194662709918 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5713
y2[1] (analytic) = 1.1588012577097139904636786130629
y2[1] (numeric) = 1.1588012501886219503437888969787
absolute error = 7.5210920401198897160842e-09
relative error = 6.4904072118326645153442402939054e-07 %
h = 0.0001
y1[1] (analytic) = 2.5407260637043871809220204205524
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0613005251001841806487324853368
relative error = 2.4127168204354863837847581958802 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=648.5MB, alloc=4.1MB, time=95.56
NO POLE
NO POLE
x[1] = 0.5714
y2[1] (analytic) = 1.1588553345219880161176337670538
y2[1] (numeric) = 1.1588553269477816460759929674117
absolute error = 7.5742063700416407996421e-09
relative error = 6.5359377865451146993427370292771e-07 %
h = 0.0001
y1[1] (analytic) = 2.5408101808748456934637517983252
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0613846422706426931904638631096
relative error = 2.4159475876118726729873222205518 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5715
y2[1] (analytic) = 1.1589094197457086895421698832215
y2[1] (numeric) = 1.1589094121180877148492620186001
absolute error = 7.6276209746929078646214e-09
relative error = 6.5817231655314208020287236317297e-07 %
h = 0.0001
y1[1] (analytic) = 2.5408942926372024017637777472486
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.061468754032999401490489812033
relative error = 2.4191779331835478654892789446714 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5716
y2[1] (analytic) = 1.1589635133803351585005309375181
y2[1] (numeric) = 1.1589635056989980278509447804129
absolute error = 7.6813371306495861571052e-09
relative error = 6.6277644136056717502135102587956e-07 %
h = 0.0001
y1[1] (analytic) = 2.540978398990616188199232115675
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0615528603864131879259441804594
relative error = 2.4224078571807056955744326246044 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5717
y2[1] (analytic) = 1.1590176154253264866469030206484
y2[1] (numeric) = 1.1590176076899703685101337936821
absolute error = 7.7353561181367692269663e-09
relative error = 6.6740625985206563321093348429142e-07 %
h = 0.0001
y1[1] (analytic) = 2.5410624999342459892366779255283
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0616369613300429889633899903127
relative error = 2.4256373596335368694757640759298 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=652.3MB, alloc=4.1MB, time=96.14
NO POLE
NO POLE
x[1] = 0.5718
y2[1] (analytic) = 1.1590717258801416535318237015234
y2[1] (numeric) = 1.1590717180904624324976654102023
absolute error = 7.7896792210341582913211e-09
relative error = 6.7206187909717681672186094670104e-07 %
h = 0.0001
y1[1] (analytic) = 2.5411465954672507954405180076305
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0617210568630477951672300724149
relative error = 2.4288664405722290651031305616971 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5719
y2[1] (analytic) = 1.1591258447442395546075922317506
y2[1] (numeric) = 1.1591258368999318277261197927308
absolute error = 7.8443077268814724390198e-09
relative error = 6.7674340646009099982977958589428e-07 %
h = 0.0001
y1[1] (analytic) = 2.5412306855887896514814050960515
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0618051469845866512081171608359
relative error = 2.4320951000269669317711725797176 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.572
y2[1] (analytic) = 1.1591799720170790012336805911064
y2[1] (numeric) = 1.1591799641178360743498209149877
absolute error = 7.8992429268838596761187e-09
relative error = 6.8145094960003973050265753826374e-07 %
h = 0.0001
y1[1] (analytic) = 2.5413147702980216561446513813949
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0618892316938186558713634461793
relative error = 2.4353233380279320899274274619847 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5721
y2[1] (analytic) = 1.1592341076981187206821453739366
y2[1] (numeric) = 1.1592340997436326047648365616559
absolute error = 7.9544861159173088122807e-09
relative error = 6.8618461647168612390136301014442e-07 %
h = 0.0001
y1[1] (analytic) = 2.5413988495941059623386375229383
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0619733109899029620653495877227
relative error = 2.4385511546053031308806496995634 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.1MB, time=96.72
NO POLE
NO POLE
x[1] = 0.5722
y2[1] (analytic) = 1.1592882517868173561430405164318
y2[1] (numeric) = 1.1592882437767787636089783283808
absolute error = 8.0100385925340621880510e-09
relative error = 6.9094451532551508797715200759145e-07 %
h = 0.0001
y1[1] (analytic) = 2.5414829234762017771032211195423
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0620573848719987768299331843267
relative error = 2.4417785497892556165293379061544 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5723
y2[1] (analytic) = 1.159342404282633466729830864722
y2[1] (numeric) = 1.1593423962167318077618016217707
absolute error = 8.0659016589680292429513e-09
relative error = 6.9573075470822348112903424905997e-07 %
h = 0.0001
y1[1] (analytic) = 2.5415669919434683616181446392451
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0621414533392653613448567040295
relative error = 2.4450055236099620790904683336652 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5724
y2[1] (analytic) = 1.1593965651850255274848065837377
y2[1] (numeric) = 1.1593965570629489063446056593966
absolute error = 8.1220766211402009243411e-09
relative error = 7.0054344346311020188448225758893e-07 %
h = 0.0001
y1[1] (analytic) = 2.5416510549950650312114428074576
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.062225516390862030938154872242
relative error = 2.4482320760975920208284348530761 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5725
y2[1] (analytic) = 1.1594507344934519293844984067822
y2[1] (numeric) = 1.1594507263148871407204334697922
absolute error = 8.1785647886640649369900e-09
relative error = 7.0538269073046621056658239052785e-07 %
h = 0.0001
y1[1] (analytic) = 2.5417351126301511553678494536766
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.062309574025948155094561518461
relative error = 2.4514582072823119137841953140154 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.1MB, time=97.29
NO POLE
NO POLE
x[1] = 0.5726
y2[1] (analytic) = 1.1595049122073709793450937257621
y2[1] (numeric) = 1.1595049039720035044940718924539
absolute error = 8.2353674748510218333082e-09
relative error = 7.1024860594796448291105044018786e-07 %
h = 0.0001
y1[1] (analytic) = 2.5418191648478861577372038166302
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0623936262436831574639158814146
relative error = 2.4546839171942851995046241963552 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5727
y2[1] (analytic) = 1.1595590983262409002278535220204
y2[1] (numeric) = 1.1595590900337549035120515778409
absolute error = 8.2924859967158019441795e-09
relative error = 7.1514129885104989559632350228888e-07 %
h = 0.0001
y1[1] (analytic) = 2.5419032116474295161428563077725
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0624776730432265158695683725569
relative error = 2.457909205863672288772071467279 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5728
y2[1] (analytic) = 1.1596132928495198308445301377202
y2[1] (numeric) = 1.1596132844995981558626469873752
absolute error = 8.3499216749818831503450e-09
relative error = 7.2006087947332904365031537392517e-07 %
h = 0.0001
y1[1] (analytic) = 2.5419872530279407625900737330428
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0625617144237377623167857978272
relative error = 2.4611340733206305613341275572292 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5729
y2[1] (analytic) = 1.1596674957766658259627858877217
y2[1] (numeric) = 1.1596674873689899918758763934413
absolute error = 8.4076758340869094942804e-09
relative error = 7.2500745814695998969700482909811e-07 %
h = 0.0001
y1[1] (analytic) = 2.5420712889885794832744439728064
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0626457503843764830011560375908
relative error = 2.4643585195953143656335943682404 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=663.7MB, alloc=4.1MB, time=97.85
x[1] = 0.573
y2[1] (analytic) = 1.1597217071071368563116125119018
y2[1] (numeric) = 1.1597216986413870541235018793866
absolute error = 8.4657498021881106325152e-09
relative error = 7.2998114550304194500653102734820e-07 %
h = 0.0001
y1[1] (analytic) = 2.5421553195285053185902801198912
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0627297809243023183169921846756
relative error = 2.467582544717875018538662228083 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5731
y2[1] (analytic) = 1.1597759268403908085867514678594
y2[1] (numeric) = 1.1597759183162458974190293395212
absolute error = 8.5241449111677221283382e-09
relative error = 7.3498205247200488231217313734400e-07 %
h = 0.0001
y1[1] (analytic) = 2.5422393446468779631390240756382
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0628138060426749628657361404226
relative error = 2.4708061487184608050732927038171 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5732
y2[1] (analytic) = 1.1598301549758854854561150639533
y2[1] (numeric) = 1.1598301463930229888177084791179
absolute error = 8.5828624966384065848354e-09
relative error = 7.4001029028399908035777704814399e-07 %
h = 0.0001
y1[1] (analytic) = 2.5423233643428571657376496038794
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0628978257386541654643616686638
relative error = 2.4740293316272169781478071882093 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5733
y2[1] (analytic) = 1.1598843915130786055652084326189
y2[1] (numeric) = 1.1598843828711747076165328144123
absolute error = 8.6419038979486756182066e-09
relative error = 7.4506597046928460013924844053354e-07 %
h = 0.0001
y1[1] (analytic) = 2.5424073786156027294270648427614
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0629818400113997291537769075458
relative error = 2.4772520934742857582896811726728 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5734
y2[1] (analytic) = 1.1599386364514278035425523439084
y2[1] (numeric) = 1.1599386277501573453542396726026
absolute error = 8.7012704581883126713058e-09
relative error = 7.5014920485862069280366718094235e-07 %
h = 0.0001
y1[1] (analytic) = 2.5424913874642745114805142743294
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0630658488600715112072263391138
relative error = 2.4804744342898063333745441202875 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.1MB, time=98.42
NO POLE
NO POLE
x[1] = 0.5735
y2[1] (analytic) = 1.1599928897903906300051068592012
y2[1] (numeric) = 1.1599928810294271058113101918498
absolute error = 8.7609635241937966673514e-09
relative error = 7.5526010558365513916969476338697e-07 %
h = 0.0001
y1[1] (analytic) = 2.5425753908880324234119801517877
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0631498522838294231386922165721
relative error = 2.483696354103914858357384852529 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5736
y2[1] (analytic) = 1.1600471515294245515636958250294
y2[1] (numeric) = 1.1600471427084401050099693212776
absolute error = 8.8209844465537265037518e-09
relative error = 7.6039878507731352083295118444826e-07 %
h = 0.0001
y1[1] (analytic) = 2.5426593888860364309845833843526
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.063233850281833430711295449137
relative error = 2.4869178529467444550039623633635 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5737
y2[1] (analytic) = 1.1601014216679869508284322069658
y2[1] (numeric) = 1.1601014127866523712141858209725
absolute error = 8.8813345796142463859933e-09
relative error = 7.6556535607418842282018884295973e-07 %
h = 0.0001
y1[1] (analytic) = 2.5427433814574465542189838796146
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.063317842853243553945695944399
relative error = 2.4901389308484252116224219744258 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5738
y2[1] (analytic) = 1.1601557002055351264141442635175
y2[1] (numeric) = 1.1601556912635198449296722619837
absolute error = 8.9420152814844720015338e-09
relative error = 7.7075993161092856775583709119690e-07 %
h = 0.0001
y1[1] (analytic) = 2.5428273686014228674017803433245
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0634018299972198671284924081089
relative error = 2.4933595878390841827951167449389 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=671.4MB, alloc=4.1MB, time=98.99
NO POLE
NO POLE
x[1] = 0.5739
y2[1] (analytic) = 1.1602099871415262929458025599734
y2[1] (numeric) = 1.1602099781384983789038850263231
absolute error = 9.0030279140419175336503e-09
relative error = 7.7598262502662788150491812774038e-07 %
h = 0.0001
y1[1] (analytic) = 2.5429113503171254990939095365206
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.063485811712922498820621601305
relative error = 2.4965798239488453891106340501609 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.574
y2[1] (analytic) = 1.1602642824754175810639478221502
y2[1] (numeric) = 1.1602642734110437381260243069654
absolute error = 9.0643738429379235151848e-09
relative error = 7.8123354996321449025608093652192e-07 %
h = 0.0001
y1[1] (analytic) = 2.5429953266037146321390449899122
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0635697879995116318657570546966
relative error = 2.4997996392078298168960272420956 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5741
y2[1] (analytic) = 1.1603185862066660374301196299818
y2[1] (numeric) = 1.1603185770806115998270341078479
absolute error = 9.1260544376030855221339e-09
relative error = 7.8651282036583964900859945915770e-07 %
h = 0.0001
y1[1] (analytic) = 2.5430792974603505036719951754361
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0636537588561475033987072402205
relative error = 2.5030190336461554179492523062862 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5742
y2[1] (analytic) = 1.1603728983347286247322859509002
y2[1] (numeric) = 1.1603728891466575534796022438707
absolute error = 9.1880710712526837070295e-09
relative error = 7.9182055048326660142740128934491e-07 %
h = 0.0001
y1[1] (analytic) = 2.543163262886193405127101134901
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0637377242819904048538131996854
relative error = 2.5062380072939371092718094284737 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.1MB, time=99.57
NO POLE
NO POLE
x[1] = 0.5743
y2[1] (analytic) = 1.1604272188590622216902735129509
y2[1] (numeric) = 1.1604272096086371007981603408966
absolute error = 9.2504251208921131720543e-09
relative error = 7.9715685486825937102991338120800e-07 %
h = 0.0001
y1[1] (analytic) = 2.5432472228804036822466335656377
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0638216842762006819733456304221
relative error = 2.5094565601812867728015893850398 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5744
y2[1] (analytic) = 1.1604815477791236230611990175898
y2[1] (numeric) = 1.1604815384660056557388838357512
absolute error = 9.3131179673223151818386e-09
relative error = 8.0252184837797148366879170680876e-07 %
h = 0.0001
y1[1] (analytic) = 2.5433311774421417350891893630691
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0639056388379387348159014278535
relative error = 2.512674692338313255145924671035 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5745
y2[1] (analytic) = 1.160535885094369539644901192108
y2[1] (numeric) = 1.1605358757182185444996919762228
absolute error = 9.3761509951452092158852e-09
relative error = 8.0791564617433462127466671555618e-07 %
h = 0.0001
y1[1] (analytic) = 2.5434151265705680180380876201172
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0639895879663650177647996849016
relative error = 2.5158924037951223673148452797407 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5746
y2[1] (analytic) = 1.1605902308042565982893736816288
y2[1] (numeric) = 1.1605902213647310055202478210624
absolute error = 9.4395255927691258605664e-09
relative error = 8.1333836372444720682283424296031e-07 %
h = 0.0001
y1[1] (analytic) = 2.543499070264843039809765083363
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0640735316606400395364771481474
relative error = 2.5191096945818168844545390476931 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.1MB, time=100.13
NO POLE
NO POLE
x[1] = 0.5747
y2[1] (analytic) = 1.1606445849082413418961987806231
y2[1] (numeric) = 1.1606445754049981894819582399837
absolute error = 9.5032431524142405406394e-09
relative error = 8.1879011680096292048805881710071e-07 %
h = 0.0001
y1[1] (analytic) = 2.5435830085241273634621710658752
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0641574699199243631888831306596
relative error = 2.5223265647284965455810164791226 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5748
y2[1] (analytic) = 1.1606989474057802294259820038889
y2[1] (numeric) = 1.1606989378384751593079739136632
absolute error = 9.5673050701180080902257e-09
relative error = 8.2427102148247914695163505716835e-07 %
h = 0.0001
y1[1] (analytic) = 2.5436669413475816064031618166234
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0642414027433786061298738814078
relative error = 2.5255430142652580533139799637837 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5749
y2[1] (analytic) = 1.1607533182963296359037874969412
y2[1] (numeric) = 1.1607533086646168901631893337401
absolute error = 9.6317127457405981632011e-09
relative error = 8.2978119415392535382497807997697e-07 %
h = 0.0001
y1[1] (analytic) = 2.5437508687343664403988943463929
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0643253301301634401256064111773
relative error = 2.5287590432221950736108973022297 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.575
y2[1] (analytic) = 1.1608076975793458524245742857562
y2[1] (numeric) = 1.1608076878828782694542428028163
absolute error = 9.6964675829703314829399e-09
relative error = 8.3532075150695140115379442140929e-07 %
h = 0.0001
y1[1] (analytic) = 2.5438347906836425915822197101162
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0644092520794395913089317749006
relative error = 2.5319746516293982355012794525378 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=682.8MB, alloc=4.1MB, time=100.71
x[1] = 0.5751
y2[1] (analytic) = 1.1608620852542850861586333658177
y2[1] (numeric) = 1.1608620754927140968295164344565
absolute error = 9.7615709893291169313612e-09
relative error = 8.4088981054031578196729451628827e-07 %
h = 0.0001
y1[1] (analytic) = 2.543918707194570840461075745537
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0644931685903678401877878103214
relative error = 2.5351898395169551308211624125459 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5752
y2[1] (analytic) = 1.1609164813206034603570256304096
y2[1] (numeric) = 1.1609164714935790841791361531881
absolute error = 9.8270243761778894772215e-09
relative error = 8.4648848856027379383662804325882e-07 %
h = 0.0001
y1[1] (analytic) = 2.5440026182663120219268792681242
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0645770796621090216535913329086
relative error = 2.5384046069149503139477931517512 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5753
y2[1] (analytic) = 1.1609708857777570143570206381004
y2[1] (numeric) = 1.1609708758849278556349716945011
absolute error = 9.8928291587220489435993e-09
relative error = 8.5211690318096564140689173320051e-07 %
h = 0.0001
y1[1] (analytic) = 2.5440865238980270252629177221507
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0646609852938240249896297869351
relative error = 2.5416189538534653015345195069492 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5754
y2[1] (analytic) = 1.1610252986252017035875362193663
y2[1] (numeric) = 1.1610252886662149475706366048484
absolute error = 9.9589867560168996145179e-09
relative error = 8.5777517232480446986714133982898e-07 %
h = 0.0001
y1[1] (analytic) = 2.5441704240888767941527402878537
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0647448854846737938794523526381
relative error = 2.5448328803625785722458839557871 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5755
y2[1] (analytic) = 1.1610797198623933995745789222973
y2[1] (numeric) = 1.1610797098368948086014882416456
absolute error = 1.00254985909730906806517e-08
relative error = 8.6346341422286432932280096913150e-07 %
h = 0.0001
y1[1] (analytic) = 2.5442543188380223266885484445916
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.064828780233819326415260509376
relative error = 2.5480463864723655664929211823755 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.1MB, time=101.30
NO POLE
NO POLE
x[1] = 0.5756
y2[1] (analytic) = 1.1611341494887878899466852973327
y2[1] (numeric) = 1.161134139396421799584627773271
absolute error = 1.00923660903620575240617e-08
relative error = 8.6918174741526807003493644789060e-07 %
h = 0.0001
y1[1] (analytic) = 2.5443382081446246753795859899157
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0649126695404216751062980547001
relative error = 2.5512594722128986861686593492461 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5757
y2[1] (analytic) = 1.1611885875038408784403640209714
y2[1] (numeric) = 1.1611885773442501936189001790656
absolute error = 1.01595906848214638419058e-08
relative error = 8.7493029075157516849088981471320e-07 %
h = 0.0001
y1[1] (analytic) = 2.5444220920078449471605285144705
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0649965534036419468872405792549
relative error = 2.5544721376142472943838249898017 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5758
y2[1] (analytic) = 1.1612430339070079849055388584019
y2[1] (numeric) = 1.1612430236798341760448942493331
absolute error = 1.02271738088606446090688e-08
relative error = 8.8070916339116948427075074840766e-07 %
h = 0.0001
y1[1] (analytic) = 2.5445059704268443033998723326397
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0650804318226413031265843974241
relative error = 2.5576843827064777152027514355607 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5759
y2[1] (analytic) = 1.1612974886977447453109924649986
y2[1] (numeric) = 1.16129747840262784444494258534
absolute error = 1.02951169008660498796586e-08
relative error = 8.8651848480364694767431755313419e-07 %
h = 0.0001
y1[1] (analytic) = 2.5445898434007839599083228688548
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0651643047965809596350349336392
relative error = 2.5608962075196532333794906925145 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.1MB, time=101.89
NO POLE
NO POLE
x[1] = 0.576
y2[1] (analytic) = 1.1613519518755066117498110266296
y2[1] (numeric) = 1.1613519415120852086431215993156
absolute error = 1.03634214031066894273140e-08
relative error = 8.9235837476920317807314457190552e-07 %
h = 0.0001
y1[1] (analytic) = 2.5446737109288251869471824994803
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0652481723246221866738945642647
relative error = 2.5641076120838340940941286808358 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5761
y2[1] (analytic) = 1.1614064234397489524448297387213
y2[1] (numeric) = 1.1614064130076601907052515144517
absolute error = 1.04320887617395782242696e-08
relative error = 8.9822895337902103295232050850279e-07 %
h = 0.0001
y1[1] (analytic) = 2.5447575730101293092367378501947
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0653320344059263089634499149791
relative error = 2.5673185964290775026893037523998 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5762
y2[1] (analytic) = 1.1614609033899270517540791240254
y2[1] (numeric) = 1.1614608928888066249388963649031
absolute error = 1.05011204268151827591223e-08
relative error = 9.0413034103565808760657502776253e-07 %
h = 0.0001
y1[1] (analytic) = 2.5448414296438577059646465487795
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0654158910396547056913586135639
relative error = 2.5705291605854376244069284003404 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5763
y2[1] (analytic) = 1.161515391725496110176232189034
y2[1] (numeric) = 1.1615153811549782578933639957871
absolute error = 1.05705178522828681932469e-08
relative error = 9.1006265845343404545560830146851e-07 %
h = 0.0001
y1[1] (analytic) = 2.5449252808291718107943234332365
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0654997422249688105210354980209
relative error = 2.5737393045829655841251140752004 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=694.2MB, alloc=4.1MB, time=102.48
NO POLE
NO POLE
x[1] = 0.5764
y2[1] (analytic) = 1.1615698884459112443560524189885
y2[1] (numeric) = 1.1615698778056287483597060631839
absolute error = 1.06402824959963463558046e-08
relative error = 9.1602602665881807894325854304552e-07 %
h = 0.0001
y1[1] (analytic) = 2.5450091265652331118733262151464
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0655835879610301116000382799308
relative error = 2.5769490284517094660952990219839 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5765
y2[1] (analytic) = 1.1616243935506274870898426114274
y2[1] (numeric) = 1.1616243828402116673707180341363
absolute error = 1.07104158197191245772911e-08
relative error = 9.2202056699081610098541124790846e-07 %
h = 0.0001
y1[1] (analytic) = 2.5450929668512031518417405981861
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0656674282470001515684526629705
relative error = 2.5801583322217143136795790526125 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5766
y2[1] (analytic) = 1.1616789070390997873308945482187
y2[1] (numeric) = 1.1616788962581804982009391866499
absolute error = 1.07809192891299553615688e-08
relative error = 9.2804640110135796693140339808529e-07 %
h = 0.0001
y1[1] (analytic) = 2.5451768016862435278405648517209
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0657512630820405275672769165053
relative error = 2.5833672159230221290882411682694 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5767
y2[1] (analytic) = 1.1617334289107830101949395060221
y2[1] (numeric) = 1.161733418058988636366652609693
absolute error = 1.08517943738282868963291e-08
relative error = 9.3410365095568460700384399434844e-07 %
h = 0.0001
y1[1] (analytic) = 2.5452606310695158915200938393876
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.065835092465312891246805904172
relative error = 2.5865756795856718731174999461359 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.1MB, time=103.07
NO POLE
NO POLE
x[1] = 0.5768
y2[1] (analytic) = 1.1617879591651319369655996051278
y2[1] (numeric) = 1.1617879482420893896258852031966
absolute error = 1.09230425473397144019312e-08
relative error = 9.4019243883273508918184564079067e-07 %
h = 0.0001
y1[1] (analytic) = 2.5453444550001819490483025025849
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0659189163959789487750145673693
relative error = 2.5897837232396994648874366050649 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5769
y2[1] (analytic) = 1.1618424978016012650998399966154
y2[1] (numeric) = 1.1618424868069359779784076780545
absolute error = 1.09946652871214323185609e-08
relative error = 9.4631288732553361249245121557844e-07 %
h = 0.0001
y1[1] (analytic) = 2.5454282734774034611192287987857
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0660027348732004608459408635701
relative error = 2.5929913469151377815801406646972 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.577
y2[1] (analytic) = 1.1618970448196456082334218877795
y2[1] (numeric) = 1.1618970337529815336657345561232
absolute error = 1.10666640745676873316563e-08
relative error = 9.5246511934157643067537128582262e-07 %
h = 0.0001
y1[1] (analytic) = 2.5455120865003422429613560945909
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0660865478961392426880681593753
relative error = 2.5961985506420166581780541127425 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5771
y2[1] (analytic) = 1.1619516002187194961863564057677
y2[1] (numeric) = 1.1619515890796791011711241702219
absolute error = 1.11390403950152322355458e-08
relative error = 9.5864925810321870618605771399878e-07 %
h = 0.0001
y1[1] (analytic) = 2.5455958940681601643459950134367
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0661703554639571640727070782211
relative error = 2.5994053344503628872025179948841 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=701.9MB, alloc=4.1MB, time=103.65
x[1] = 0.5772
y2[1] (analytic) = 1.1620061639982773749683592993764
y2[1] (numeric) = 1.1620061527864816372195786641326
absolute error = 1.12117957377487806352438e-08
relative error = 9.6486542714806129450217782769859e-07 %
h = 0.0001
y1[1] (analytic) = 2.5456796961800191495956647378751
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0662541575758161493223768026595
relative error = 2.6026116983702002184525213420896 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5773
y2[1] (analytic) = 1.1620607361577736067843064789481
y2[1] (numeric) = 1.1620607248728420107778439925999
absolute error = 1.12849315960064624863482e-08
relative error = 9.7111375032933745869848057182045e-07 %
h = 0.0001
y1[1] (analytic) = 2.5457634928350811775924737663412
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0663379542308781773191858311256
relative error = 2.6058176424315493587436523499006 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5774
y2[1] (analytic) = 1.1621153166966624700396903943192
y2[1] (numeric) = 1.1621153053382130030544099213312
absolute error = 1.13584494669852804729880e-08
relative error = 9.7739435181629951425544642500009e-07 %
h = 0.0001
y1[1] (analytic) = 2.5458472840325082817865001243255
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0664217454283052815132121891099
relative error = 2.6090231666644279716472517244808 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5775
y2[1] (analytic) = 1.1621699056143981593460772507597
y2[1] (numeric) = 1.1621698941820473074995100269967
absolute error = 1.14323508518465672237630e-08
relative error = 9.8370735609460540406660958283953e-07 %
h = 0.0001
y1[1] (analytic) = 2.5459310697714625502041710298662
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0665055311672595499308830946506
relative error = 2.612228271098850677229768110104 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5776
y2[1] (analytic) = 1.1622245029104347855265650628534
y2[1] (numeric) = 1.1622244914037975298051216972293
absolute error = 1.15066372557214433656241e-08
relative error = 9.9005288796670520361003918984022e-07 %
h = 0.0001
y1[1] (analytic) = 2.5460148500511061254566420132775
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0665893114469031251833540780619
relative error = 2.6154329557648290517923155128308 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.1MB, time=104.24
NO POLE
NO POLE
x[1] = 0.5777
y2[1] (analytic) = 1.1622791085842263756212425462622
y2[1] (numeric) = 1.1622790970029161879049661306245
absolute error = 1.15813101877162764156377e-08
relative error = 9.9643107255222755624907500268892e-07 %
h = 0.0001
y1[1] (analytic) = 2.5460986248706012047481754910316
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.066673086266398204474887555816
relative error = 2.6186372206923716276104326352135 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5778
y2[1] (analytic) = 1.1623337226352268728926488473208
y2[1] (numeric) = 1.1623337109788557119745083367407
absolute error = 1.16563711609181405105801e-08
relative error = 1.0028420352883660386276582935159e-06 %
h = 0.0001
y1[1] (analytic) = 2.5461823942291100398845187937086
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.066756855624907039611230858493
relative error = 2.6218410659114838926740440367627 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5779
y2[1] (analytic) = 1.1623883450628901368312341104067
y2[1] (numeric) = 1.1623883333310684444309571360989
absolute error = 1.17318216924002769743078e-08
relative error = 1.0092859019302654561256376620940e-06 %
h = 0.0001
y1[1] (analytic) = 2.5462661581257949372812816479326
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.066840619521591937007993712717
relative error = 2.6250444914521682904276230350936 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.578
y2[1] (analytic) = 1.162442975866669943160820883031
y2[1] (numeric) = 1.1624429640590066399332651601828
absolute error = 1.18076633032275557228482e-08
relative error = 1.0157627985514080683393478433895e-06 %
h = 0.0001
y1[1] (analytic) = 2.546349916559818257972313112208
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0669243779556152576990251769924
relative error = 2.628247497344424219510556262531 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=709.5MB, alloc=4.1MB, time=104.84
NO POLE
NO POLE
x[1] = 0.5781
y2[1] (analytic) = 1.1624976150460199838440663585958
y2[1] (numeric) = 1.162497603162122465382128851439
absolute error = 1.18838975184619375071568e-08
relative error = 1.0222728515439997445529361234084e-06 %
h = 0.0001
y1[1] (analytic) = 2.5464336695303424176180779665744
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0670081309261394173447900313588
relative error = 2.6314500836182480334977097931486 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5782
y2[1] (analytic) = 1.1625522626003938670879254567633
y2[1] (numeric) = 1.1625522506398679999199884632768
absolute error = 1.19605258671679369934865e-08
relative error = 1.0288161876193560491659068006437e-06 %
h = 0.0001
y1[1] (analytic) = 2.546517417036529886514032555995
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0670918784323268862407446207794
relative error = 2.6346522503036330406401967551114 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5783
y2[1] (analytic) = 1.162606918529245117349114741381
y2[1] (numeric) = 1.162606906491695234931028060068
absolute error = 1.20375498824180866813130e-08
relative error = 1.0353929338082882570422553511055e-06 %
h = 0.0001
y1[1] (analytic) = 2.5466011590775431895990000873949
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0671756204733401893257121521793
relative error = 2.6378539974305695036063463432745 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5784
y2[1] (analytic) = 1.1626615828320271753395771759107
y2[1] (numeric) = 1.1626615707170560740411755171474
absolute error = 1.21149711012984016587633e-08
relative error = 1.0420032174614892987468608708148e-06 %
h = 0.0001
y1[1] (analytic) = 2.546684895652544906463545380266
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0672593570483419061902574450504
relative error = 2.6410553250290446392228741470288 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.1MB, time=105.44
NO POLE
NO POLE
x[1] = 0.5785
y2[1] (analytic) = 1.1627162555081933980319477163042
y2[1] (numeric) = 1.1627162433154023331181025208124
absolute error = 1.21927910649138451954918e-08
relative error = 1.0486471662499196356346291391354e-06 %
h = 0.0001
y1[1] (analytic) = 2.5467686267606976713583490707543
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0673430881564946710850611355387
relative error = 2.6442562331290426182162537083787 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5786
y2[1] (analytic) = 1.1627709365571970586650197412722
y2[1] (numeric) = 1.1627709242861857402712245683232
absolute error = 1.22710113183937951729490e-08
relative error = 1.0553249081651930647579605042078e-06 %
h = 0.0001
y1[1] (analytic) = 2.5468523524011641732025812691462
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0674268137969611729292933339306
relative error = 2.6474567217605445649542892252933 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5787
y2[1] (analytic) = 1.1628256259784913467492123198923
y2[1] (numeric) = 1.1628256136288579358517009679026
absolute error = 1.23496334108975113519897e-08
relative error = 1.0620365715199624535583190208672e-06 %
h = 0.0001
y1[1] (analytic) = 2.5469360725731071555922746706695
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0675105339689041553189867354539
relative error = 2.6506567909535285571878893153659 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5788
y2[1] (analytic) = 1.1628803237715293680720383164999
y2[1] (numeric) = 1.1628803113428704724524348387362
absolute error = 1.24286588956196034777637e-08
relative error = 1.0687822849483054043073826628255e-06 %
h = 0.0001
y1[1] (analytic) = 2.5470197872756894168086971195267
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0675942486714864165354091843111
relative error = 2.6538564407379696257930417549156 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=717.1MB, alloc=4.1MB, time=106.02
x[1] = 0.5789
y2[1] (analytic) = 1.1629350299357641447035733328085
y2[1] (numeric) = 1.1629350174276748149080731109723
absolute error = 1.25080893297955002218362e-08
relative error = 1.0755621774061098482636544708201e-06 %
h = 0.0001
y1[1] (analytic) = 2.5471034965080738098267236260749
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0676779579038708095534356908593
relative error = 2.6570556711438397545129891085659 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.579
y2[1] (analytic) = 1.1629897444706486150019254872046
y2[1] (numeric) = 1.1629897318827223402950065257221
absolute error = 1.25879262747069189614825e-08
relative error = 1.0823763781714595695102296785300e-06 %
h = 0.0001
y1[1] (analytic) = 2.5471872002694232423232078370701
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0677616616652202420499199018545
relative error = 2.6602544822011078797006051644972 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5791
y2[1] (analytic) = 1.1630444673756356336187060311618
y2[1] (numeric) = 1.1630444547074643379313696350593
absolute error = 1.26681712956873363961025e-08
relative error = 1.0892250168450196584395300601093e-06 %
h = 0.0001
y1[1] (analytic) = 2.5472708985589006766853529588917
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0678453599546976764120650236761
relative error = 2.6634528739397398900609720905183 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5792
y2[1] (analytic) = 1.1630991986501779715045008027205
y2[1] (numeric) = 1.1630991859013520093770408020204
absolute error = 1.27488259621274600007001e-08
relative error = 1.0961082233504218948508211350887e-06 %
h = 0.0001
y1[1] (analytic) = 2.5473545913756691300190821336638
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0679290527714661297457941984482
relative error = 2.6666508463896986263941582261622 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5793
y2[1] (analytic) = 1.1631539382937283159143425169771
y2[1] (numeric) = 1.1631539254638364684336422006047
memory used=720.9MB, alloc=4.1MB, time=106.60
absolute error = 1.28298918474807003163724e-08
relative error = 1.1030261279346500606263494604360e-06 %
h = 0.0001
y1[1] (analytic) = 2.5474382787188916741574082681885
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0680127401146886738841203329729
relative error = 2.6698483995809438813381964259826 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5794
y2[1] (analytic) = 1.1632086863057392704131838935292
y2[1] (numeric) = 1.1632086733943687411445398157741
absolute error = 1.29113705292686440777551e-08
relative error = 1.1099788611684251819521049812963e-06 %
h = 0.0001
y1[1] (analytic) = 2.5475219605877314356688033156093
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0680964219835284353955153803937
relative error = 2.6730455335434323991122628693673 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5795
y2[1] (analytic) = 1.1632634426856633548813716208217
y2[1] (numeric) = 1.1632634296923997657948434434533
absolute error = 1.29932635890865281773684e-08
relative error = 1.1169665539465907010490716177754e-06 %
h = 0.0001
y1[1] (analytic) = 2.5476056369813515958655670097189
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0681800983771485955922790745033
relative error = 2.6762422483071178752600562520658 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5796
y2[1] (analytic) = 1.1633182074329530055201211573387
y2[1] (numeric) = 1.1633181943573803929114066905298
absolute error = 1.30755726126087144668089e-08
relative error = 1.1239893374884975773809712116771e-06 %
h = 0.0001
y1[1] (analytic) = 2.5476893078989153908121950518296
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.068263769294712390538907116614
relative error = 2.6794385439019509563933772748037 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5797
y2[1] (analytic) = 1.1633729805470605748569923695864
y2[1] (numeric) = 1.1633729673887613852628269748538
absolute error = 1.31582991895941653947326e-08
relative error = 1.1310473433383893183045103217120e-06 %
h = 0.0001
y1[1] (analytic) = 2.5477729733395861113337467501213
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0683474347353831110604588149057
relative error = 2.6826344203578792399359083442615 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.1MB, time=107.19
NO POLE
NO POLE
x[1] = 0.5798
y2[1] (analytic) = 1.1634277620274383317513660068138
y2[1] (numeric) = 1.1634277487859934178594455252381
absolute error = 1.32414449138919204815757e-08
relative error = 1.1381407033657869391283156335825e-06 %
h = 0.0001
y1[1] (analytic) = 2.5478566333025271030242121113838
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0684310946983241027509241761682
relative error = 2.6858298777048472738671934017893 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5799
y2[1] (analytic) = 1.1634825518735384613999210124132
y2[1] (numeric) = 1.1634825385485270779533473814583
absolute error = 1.33250113834465736309549e-08
relative error = 1.1452695497658738525463527013377e-06 %
h = 0.0001
y1[1] (analytic) = 2.5479402877869017662548783850701
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0685147491826987659815904498545
relative error = 2.689024915972796556466817795252 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.58
y2[1] (analytic) = 1.16353735008481306534211267195
y2[1] (numeric) = 1.1635373366758128650383613942528
absolute error = 1.34090002003037512776972e-08
relative error = 1.1524340150598806874123749273954e-06 %
h = 0.0001
y1[1] (analytic) = 2.5480239367918735561826960595765
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0685983981876705559094081243609
relative error = 2.6922195351916655360587881093964 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5801
y2[1] (analytic) = 1.1635921566607141614656515977625
y2[1] (numeric) = 1.1635921431673011908500602253227
absolute error = 1.34934129706155913724398e-08
relative error = 1.1596342320954700368211804185845e-06 %
h = 0.0001
y1[1] (analytic) = 2.5481075803166059827586443106658
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0686820417124029824853563754502
relative error = 2.6954137353913896107561118701734 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.1MB, time=107.78
NO POLE
NO POLE
x[1] = 0.5802
y2[1] (analytic) = 1.1636469716006936840119835500812
y2[1] (numeric) = 1.1636469580224423793657603473317
absolute error = 1.35782513046462232027495e-08
relative error = 1.1668703340471211354632494690333e-06 %
h = 0.0001
y1[1] (analytic) = 2.5481912183602626107360959019513
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0687656797560596104628079667357
relative error = 2.6986075166019011282055770385341 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5803
y2[1] (analytic) = 1.1637017949042034835817700946091
y2[1] (numeric) = 1.1637017812406866668045220439064
absolute error = 1.36635168167772480507027e-08
relative error = 1.1741424544165144662186607578047e-06 %
h = 0.0001
y1[1] (analytic) = 2.5482748509220070596791815373552
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0688493123178040594058936021396
relative error = 2.7018008788531293853327312090828 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5804
y2[1] (analytic) = 1.1637566265706953271403700965106
y2[1] (numeric) = 1.1637566128214842016271494096361
absolute error = 1.37492111255132206868745e-08
relative error = 1.1814507270329162959568590607871e-06 %
h = 0.0001
y1[1] (analytic) = 2.548358478001003003971153665461
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0689329393968000036978657302454
relative error = 2.7049938221750006280870604292315 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5805
y2[1] (analytic) = 1.1638114665996208980233220507538
y2[1] (numeric) = 1.1638114527642850445361903500727
absolute error = 1.38353358534871317006811e-08
relative error = 1.1887952860535631405085163936608e-06 %
h = 0.0001
y1[1] (analytic) = 2.5484420995964141728227497356738
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0690165609922111725494618004582
relative error = 2.7081863465974380511873675543065 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.1MB, time=108.38
NO POLE
NO POLE
x[1] = 0.5806
y2[1] (analytic) = 1.16386631499043179594182724875
y2[1] (numeric) = 1.1638663010685391684759365817309
absolute error = 1.39218926274658906670191e-08
relative error = 1.1961762659640461587757156754585e-06 %
h = 0.0001
y1[1] (analytic) = 2.5485257157074043502805549061057
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0691001771032013500072669708901
relative error = 2.7113784521503617978673500542115 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5807
y2[1] (analytic) = 1.1639211717425795369882337812375
y2[1] (numeric) = 1.1639211577336964586324236320882
absolute error = 1.40088830783558101491493e-08
relative error = 1.2035938015786954759470684053549e-06 %
h = 0.0001
y1[1] (analytic) = 2.5486093263331373752353642031035
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0691837877289343749620762678879
relative error = 2.7145701388636889596213771872791 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5808
y2[1] (analytic) = 1.1639760368555155536415213773533
y2[1] (numeric) = 1.1639760227592067124334308395848
absolute error = 1.40963088412080905377685e-08
relative error = 1.2110480280409644357840642048038e-06 %
h = 0.0001
y1[1] (analytic) = 2.5486929314727771414305441323332
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0692673928685741411572561971176
relative error = 2.7177614067673335759504664568646 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5809
y2[1] (analytic) = 1.1640309103286911947727870798387
y2[1] (numeric) = 1.1640308961445196395484813536236
absolute error = 1.41841715552243057262151e-08
relative error = 1.2185390808238137819451863923782e-06 %
h = 0.0001
y1[1] (analytic) = 2.5487765311254875974703937413397
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0693509925212845971971058061241
relative error = 2.7209522558912066341084592664157 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=736.2MB, alloc=4.1MB, time=108.97
x[1] = 0.581
y2[1] (analytic) = 1.1640857921615577256507317563242
y2[1] (numeric) = 1.1640857778890848618888421345702
absolute error = 1.42724728637618896217540e-08
relative error = 1.2260670957300957683143406315737e-06 %
h = 0.0001
y1[1] (analytic) = 2.548860125290432746828505133497
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0694345866862297465552171982814
relative error = 2.724142686265216068848395688654 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5811
y2[1] (analytic) = 1.1641406823535663279471474466374
y2[1] (numeric) = 1.1641406679923519136075239537529
absolute error = 1.43612144143396234928845e-08
relative error = 1.2336322088929381983000277179957e-06 %
h = 0.0001
y1[1] (analytic) = 2.548943713966776647856123433265
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0695181753625736475828354980494
relative error = 2.7273326979192667621690882645682 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5812
y2[1] (analytic) = 1.1641955809041680997424055460806
y2[1] (numeric) = 1.1641955664537702410992813934629
absolute error = 1.44503978586431241526177e-08
relative error = 1.2412345567761283930719707794447e-06 %
h = 0.0001
y1[1] (analytic) = 2.5490272971536834137905062026699
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0696017585494804135172182674543
relative error = 2.7305222908832605430618947479762 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5813
y2[1] (analytic) = 1.1642504878128140555309458246228
y2[1] (numeric) = 1.1642504732727892030006128469539
absolute error = 1.45400248525303329776689e-08
relative error = 1.2488742761744970887018598698966e-06 %
h = 0.0001
y1[1] (analytic) = 2.5491108748503172127632823089255
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0696853362461142124899943737099
relative error = 2.7337114651870961872576897114523 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5814
y2[1] (analytic) = 1.1643054030789551262267662819506
y2[1] (numeric) = 1.1643053884488580701897605184425
absolute error = 1.46300970560370057635081e-08
relative error = 1.2565515042143022621747094316265e-06 %
h = 0.0001
y1[1] (analytic) = 2.5491944470558422678088102431088
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0697689084516392675355223078932
relative error = 2.7369002208606694169740349292938 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.1MB, time=109.56
NO POLE
NO POLE
x[1] = 0.5815
y2[1] (analytic) = 1.1643603267020421591689138383233
y2[1] (numeric) = 1.164360311981426025786710423108
absolute error = 1.47206161333822034152153e-08
relative error = 1.2642663783536128862376719775530e-06 %
h = 0.0001
y1[1] (analytic) = 2.5492780137694228568725358898106
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.069852475165219856599247954595
relative error = 2.7400885579338729006625484535078 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5816
y2[1] (analytic) = 1.1644152586815259181269758611785
y2[1] (numeric) = 1.1644152438699421651531923870923
absolute error = 1.48115837529737834740862e-08
relative error = 1.2720190363826926130530954490439e-06 %
h = 0.0001
y1[1] (analytic) = 2.5493615749902233128193497476731
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0699360363860203125460618124575
relative error = 2.7432764764365962527564722984927 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5817
y2[1] (analytic) = 1.164470199016857083306572527431
y2[1] (numeric) = 1.1644701841138554958926800475002
absolute error = 1.49030015874138924799308e-08
relative error = 1.2798096164243833866223840884142e-06 %
h = 0.0001
y1[1] (analytic) = 2.5494451307174080234419436007346
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.070019592113205023168655665519
relative error = 2.7464639763987260334184386504247 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5818
y2[1] (analytic) = 1.1645251477074862513548500214126
y2[1] (numeric) = 1.1645251327126149378503908523992
absolute error = 1.49948713135044591690134e-08
relative error = 1.2876382569344889839477765894059e-06 %
h = 0.0001
y1[1] (analytic) = 2.5495286809501414314691666404955
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0701031423459384311958787052799
relative error = 2.7496510578501457482884345171619 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.1MB, time=110.15
NO POLE
NO POLE
x[1] = 0.5819
y2[1] (analytic) = 1.1645801047528639353659745683955
y2[1] (numeric) = 1.1645800896656693231132860608194
absolute error = 1.50871946122526885075761e-08
relative error = 1.2955050967021584848986442253747e-06 %
h = 0.0001
y1[1] (analytic) = 2.5496122256875880345743810386228
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0701866870833850343010931034072
relative error = 2.7528377208207358482319647346199 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.582
y2[1] (analytic) = 1.1646350701524405648866273036464
y2[1] (numeric) = 1.1646350549724673960100707427537
absolute error = 1.51799731688765565608927e-08
relative error = 1.3034102748502696707493624919807e-06 %
h = 0.0001
y1[1] (analytic) = 2.5496957649289123853838169702094
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0702702263247093851105290349938
relative error = 2.7560239653403737290884132455654 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5821
y2[1] (analytic) = 1.1646900439056664859214999769552
y2[1] (numeric) = 1.1646900286324578131111937791578
absolute error = 1.52732086728103061977974e-08
relative error = 1.3113539308358123513556336795977e-06 %
h = 0.0001
y1[1] (analytic) = 2.5497792986732790914849270875053
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0703537600690760912116391522897
relative error = 2.7592097914389337314196025668305 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5822
y2[1] (analytic) = 1.1647450260119919609387914925832
y2[1] (numeric) = 1.1647450106450891432288478619501
absolute error = 1.53669028177099436306331e-08
relative error = 1.3193362044502716209362107343635e-06 %
h = 0.0001
y1[1] (analytic) = 2.5498628269198528154347404440354
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0704372883156498151614525088198
relative error = 2.7623951991462871402585513608867 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=747.7MB, alloc=4.1MB, time=110.74
NO POLE
NO POLE
x[1] = 0.5823
y2[1] (analytic) = 1.1648000164708671688757052845766
y2[1] (numeric) = 1.1648000010098098674169694940116
absolute error = 1.54610573014587357905650e-08
relative error = 1.3273572358200110424270886143215e-06 %
h = 0.0001
y1[1] (analytic) = 2.5499463496677982747682158690227
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0705208110635952744949279338071
relative error = 2.7655801884923021848584300279019 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5824
y2[1] (analytic) = 1.1648550152817422051439475273903
y2[1] (numeric) = 1.1648549997260683789712389891862
absolute error = 1.55556738261727085382041e-08
relative error = 1.3354171654066557603751734591632e-06 %
h = 0.0001
y1[1] (analytic) = 2.5500298669162802420065947920319
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0706043283120772417333068568163
relative error = 2.7687647595068440384417142342819 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5825
y2[1] (analytic) = 1.1649100224440670816352261817655
y2[1] (numeric) = 1.1649100067933129834290804722804
absolute error = 1.56507540982061457094851e-08
relative error = 1.3435161340074755423384698803707e-06 %
h = 0.0001
y1[1] (analytic) = 2.5501133786644635446657535177497
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0706878400602605443924655825341
relative error = 2.7719489122197748179495362937783 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5826
y2[1] (analytic) = 1.1649650379572917267267508758087
y2[1] (numeric) = 1.1649650222109918985696618790636
absolute error = 1.57462998281570889967451e-08
relative error = 1.3516542827557677487600283419931e-06 %
h = 0.0001
y1[1] (analytic) = 2.550196884911513065264554950819
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0707713463073100649912670156034
relative error = 2.7751326466609535837912343173038 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.1MB, time=111.32
NO POLE
NO POLE
x[1] = 0.5827
y2[1] (analytic) = 1.1650200618208659852867336212147
y2[1] (numeric) = 1.1650200459785532544138949562677
absolute error = 1.58423127308728386649470e-08
relative error = 1.3598317531212402312827185130431e-06 %
h = 0.0001
y1[1] (analytic) = 2.5502803856565937413331997706438
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0708548470523907410599118354282
relative error = 2.7783159628602363395940990476076 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5828
y2[1] (analytic) = 1.16507509403423961867989036458
y2[1] (numeric) = 1.1650750780954450932244352615874
absolute error = 1.59387945254554551029926e-08
relative error = 1.3680486869103941594720274599257e-06 %
h = 0.0001
y1[1] (analytic) = 2.5503638808988705654215770560795
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0709383422946675651482891208639
relative error = 2.7814988608474760319533182949092 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5829
y2[1] (analytic) = 1.1651301345968623047729433737509
y2[1] (numeric) = 1.1651301185611153695056821636803
absolute error = 1.60357469352672612100706e-08
relative error = 1.3763052262669067759141372425210e-06 %
h = 0.0001
y1[1] (analytic) = 2.550447370637508585107614359928
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0710218320333055848343264247124
relative error = 2.7846813406525225501821188897989 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.583
y2[1] (analytic) = 1.165185183508183637940124459152
y2[1] (numeric) = 1.1651851673750119500037788421665
absolute error = 1.61331716879363456169855e-08
relative error = 1.3846015136720140796566436518983e-06 %
h = 0.0001
y1[1] (analytic) = 2.5505308548716729030056272331506
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.071105316267469902732339297935
relative error = 2.7878634023052227260621060694901 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=755.3MB, alloc=4.1MB, time=111.91
x[1] = 0.5831
y2[1] (analytic) = 1.165240240767653129068679030039
y2[1] (numeric) = 1.165240224536582613706612287629
absolute error = 1.62310705153620667424100e-08
relative error = 1.3929376919448934379590245245836e-06 %
h = 0.0001
y1[1] (analytic) = 2.5506143336005286767746681987182
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0711887949963256765013802635026
relative error = 2.7910450458354203335938002137875 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5832
y2[1] (analytic) = 1.1652953063747202055643709856217
y2[1] (numeric) = 1.1652952900452750518438133016134
absolute error = 1.63294451537205576840083e-08
relative error = 1.4013139042430461263204165660800e-06 %
h = 0.0001
y1[1] (analytic) = 2.5506978068232411191268751750141
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0712722682190381188535872397985
relative error = 2.7942262712729560887473708470015 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5833
y2[1] (analytic) = 1.1653503803288342113569884410021
y2[1] (numeric) = 1.1653503639005368678867564966281
absolute error = 1.64282973434702319443740e-08
relative error = 1.4097302940626797967519805370283e-06 %
h = 0.0001
y1[1] (analytic) = 2.5507812745389754978358193487052
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0713557359347724975625314134896
relative error = 2.797407078647667649213567822082 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5834
y2[1] (analytic) = 1.1654054626294444069058502878713
y2[1] (numeric) = 1.1654054461018155775485602961442
absolute error = 1.65276288293572899917271e-08
relative error = 1.4181870052390908742612418352639e-06 %
h = 0.0001
y1[1] (analytic) = 2.5508647367468971357448524969996
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.071439198142694135471564561784
relative error = 2.8005874679893896141548496033587 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5835
y2[1] (analytic) = 1.1654605532759999692053135899123
y2[1] (numeric) = 1.1654605366485586087840869345955
absolute error = 1.66274413604212266553168e-08
relative error = 1.4266841819470468815160207743156e-06 %
h = 0.0001
y1[1] (analytic) = 2.5509481934461714107754537592061
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0715226548419684105021658239905
relative error = 2.8037674393279535239567085642046 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.1MB, time=112.49
NO POLE
NO POLE
x[1] = 0.5836
y2[1] (analytic) = 1.1655156522679499917902818128517
y2[1] (numeric) = 1.1655156355402133017899424573786
absolute error = 1.67277366900003393554731e-08
relative error = 1.4352219687011686916552878245789e-06 %
h = 0.0001
y1[1] (analytic) = 2.5510316446359637559355758575124
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0716061060317607556622879222968
relative error = 2.8069469926931878599791932160158 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5837
y2[1] (analytic) = 1.1655707596047434847417138891059
y2[1] (numeric) = 1.1655707427762269090044767208528
absolute error = 1.68285165757372371682531e-08
relative error = 1.4438005103563127092145664227380e-06 %
h = 0.0001
y1[1] (analytic) = 2.5511150903154396593279907668987
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0716895517112366590547028316831
relative error = 2.810126128114918044308627284925 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5838
y2[1] (analytic) = 1.165625875285829374692134116967
y2[1] (numeric) = 1.1656258583560465951077833923401
absolute error = 1.69297827795843507246269e-08
relative error = 1.4524199521079529791334585966834e-06 %
h = 0.0001
y1[1] (analytic) = 2.5511985304837646641586348341029
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0717729918795616638853468988873
relative error = 2.8133048456229664395095255526708 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5839
y2[1] (analytic) = 1.1656809993106565048311428942731
y2[1] (numeric) = 1.1656809822791194370216999501253
absolute error = 1.70315370678094429441478e-08
relative error = 1.4610804394925632238128899531334e-06 %
h = 0.0001
y1[1] (analytic) = 2.5512819651401043687449533455543
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0718564265359013684716654103387
relative error = 2.8164831452471523483767063781019 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=762.9MB, alloc=4.1MB, time=113.08
NO POLE
NO POLE
x[1] = 0.584
y2[1] (analytic) = 1.1657361316786736349109282865074
y2[1] (numeric) = 1.1657361145448924239098076834559
absolute error = 1.71337812110011206030515e-08
relative error = 1.4697821183879988081897090313450e-06 %
h = 0.0001
y1[1] (analytic) = 2.5513653942836244265242445441924
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0719398556794214262509566089768
relative error = 2.8196610270172920136876008158076 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5841
y2[1] (analytic) = 1.1657912723893294412517784292721
y2[1] (numeric) = 1.165791255152812457177431692542
absolute error = 1.72365169840743467367301e-08
relative error = 1.4785251350138786327964088313387e-06 %
h = 0.0001
y1[1] (analytic) = 2.5514488179134905460620030950867
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0720232793092875457887151598711
relative error = 2.8228384909631986179547582483676 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5842
y2[1] (analytic) = 1.1658464214420725167475947650807
y2[1] (numeric) = 1.1658464041023263504716408885566
absolute error = 1.73397461662759538765241e-08
relative error = 1.4873096359319669547735537162983e-06 %
h = 0.0001
y1[1] (analytic) = 2.5515322360288684910602629997749
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0721066974246654907869750645593
relative error = 2.8260155371146822831785484487969 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5843
y2[1] (analytic) = 1.1659015788363513708714061144144
y2[1] (numeric) = 1.1659015613928808296812479936354
absolute error = 1.74434705411901581207790e-08
relative error = 1.4961357680465551368028249905024e-06 %
h = 0.0001
y1[1] (analytic) = 2.5516156486289240803659399592356
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.07219011002472108009265202402
relative error = 2.8291921655015500706000599897405 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.1MB, time=113.68
NO POLE
NO POLE
x[1] = 0.5844
y2[1] (analytic) = 1.1659567445716144296808835809872
y2[1] (numeric) = 1.1659567270239225329368095408768
absolute error = 1.75476918967440740401104e-08
relative error = 1.5050036786048433239284052485148e-06 %
h = 0.0001
y1[1] (analytic) = 2.5516990557128231879791731854124
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0722735171086201877058852501968
relative error = 2.8323683761536059804541949160265 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5845
y2[1] (analytic) = 1.1660119186473100358238562911647
y2[1] (numeric) = 1.1660119009948980106106258743419
absolute error = 1.76524120252132304168228e-08
relative error = 1.5139135151973220482345715262890e-06 %
h = 0.0001
y1[1] (analytic) = 2.5517824572797317430616666612052
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0723569186755287427883787259896
relative error = 2.8355441691006509517229595971753 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5846
y2[1] (analytic) = 1.1660671010628864485438279674812
y2[1] (numeric) = 1.1660670833052537253167411490545
absolute error = 1.77576327232270868184267e-08
relative error = 1.5228654257581537613473542237202e-06 %
h = 0.0001
y1[1] (analytic) = 2.5518658533288157299450298488463
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0724403147246127296717419136307
relative error = 2.838719544372482861888951676553 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5847
y2[1] (analytic) = 1.1661222918177918436854943362
y2[1] (numeric) = 1.1661222739544360519109433310012
absolute error = 1.78633557917745510051988e-08
relative error = 1.5318595585655542947281743246834e-06 %
h = 0.0001
y1[1] (analytic) = 2.5519492438592411881391178465777
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0725237052550381878658299113621
relative error = 2.8418945019988965266890430338428 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=770.5MB, alloc=4.1MB, time=114.27
NO POLE
NO POLE
x[1] = 0.5848
y2[1] (analytic) = 1.1661774909114743137002613688618
y2[1] (numeric) = 1.1661774729418912774907641971313
absolute error = 1.79695830362094971717305e-08
relative error = 1.5408960622421742477274441321165e-06 %
h = 0.0001
y1[1] (analytic) = 2.552032628870174212340370993545
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0726070902659712120670830583294
relative error = 2.8450690420096836998682586774925 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5849
y2[1] (analytic) = 1.1662326983433818676517643577661
y2[1] (numeric) = 1.1662326802670656013954793353569
absolute error = 1.80763162662562850224092e-08
relative error = 1.5499750857554803033660950840769e-06 %
h = 0.0001
y1[1] (analytic) = 2.5521160083607809524401539228266
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.072690469756577952166865987611
relative error = 2.8482431644346330729338514839512 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.585
y2[1] (analytic) = 1.1662879141129624312213878253303
y2[1] (numeric) = 1.1662878959294051352061081445527
absolute error = 1.81835572960152796807776e-08
relative error = 1.5590967784181364718130946218489e-06 %
h = 0.0001
y1[1] (analytic) = 2.5521993823302276135330940625129
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0727738437260246132598061272973
relative error = 2.8514168693035302749095727003818 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5851
y2[1] (analytic) = 1.1663431382196638467137862672711
y2[1] (numeric) = 1.1663431199283559027454138345562
absolute error = 1.82913079439683724327149e-08
relative error = 1.5682612898883852615269409768741e-06 %
h = 0.0001
y1[1] (analytic) = 2.5522827507776804559254195847529
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0728572121734774556521316495373
relative error = 2.8545901566461578720901381276655 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=774.4MB, alloc=4.1MB, time=114.84
x[1] = 0.5852
y2[1] (analytic) = 1.1663983706629338730624057295537
y2[1] (numeric) = 1.1663983522633638400779034261677
absolute error = 1.83995700329845023033860e-08
relative error = 1.5774687701704287780293517476878e-06 %
h = 0.0001
y1[1] (analytic) = 2.5523661137023057951432968026853
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0729405750981027948700088674697
relative error = 2.857763026492295367795889900528 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5853
y2[1] (analytic) = 1.1664536114422201858350062190522
y2[1] (numeric) = 1.16645359293387479550982775115
absolute error = 1.85083453903251784679022e-08
relative error = 1.5867193696148097502791775505702e-06 %
h = 0.0001
y1[1] (analytic) = 2.5524494711032700019411670151696
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.073023932499067001667879079954
relative error = 2.8609354788717192021276537815867 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5854
y2[1] (analytic) = 1.1665088605569703772391849478679
y2[1] (numeric) = 1.1665088419393345295891814522289
absolute error = 1.86176358476500034956390e-08
relative error = 1.5960132389187924846147904389788e-06 %
h = 0.0001
y1[1] (analytic) = 2.5525328229797395023100827992348
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0731072843755365020367948640192
relative error = 2.8641075138142027517217918862193 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5855
y2[1] (analytic) = 1.1665641180066319561279004112484
y2[1] (numeric) = 1.1665640992791887151057029830928
absolute error = 1.87274432410221974281556e-08
relative error = 1.6053505291267437462331493760025e-06 %
h = 0.0001
y1[1] (analytic) = 2.5526161693308807774860437501623
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0731906307266777772127558149467
relative error = 2.8672791313495163295054507551487 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5856
y2[1] (analytic) = 1.1666193837906523480049972990536
y2[1] (numeric) = 1.1666193649528829370908746083928
absolute error = 1.88377694109141226906608e-08
relative error = 1.6147313916305135681737919514940e-06 %
h = 0.0001
y1[1] (analytic) = 2.5526995101558603639583316691182
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0732739715516573636850437339026
relative error = 2.8704503315074271844520046916062 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=778.2MB, alloc=4.1MB, time=115.40
NO POLE
NO POLE
x[1] = 0.5857
y2[1] (analytic) = 1.1666746579084788950307322407126
y2[1] (numeric) = 1.1666746389598626928179224037427
absolute error = 1.89486162022128098369699e-08
relative error = 1.6241559781698159877760312887263e-06 %
h = 0.0001
y1[1] (analytic) = 2.5527828454538448534778451982544
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0733573068496418532045572630388
relative error = 2.8736211143176995013366942801273 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5858
y2[1] (analytic) = 1.1667299403595588560273003836163
y2[1] (numeric) = 1.1667299212995733918018162557192
absolute error = 1.90599854642254841278971e-08
relative error = 1.6336244408326097105776668344094e-06 %
h = 0.0001
y1[1] (analytic) = 2.5528661752240008930654339031921
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0734406366197978927921459679765
relative error = 2.8767914798100944004924600038354 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5859
y2[1] (analytic) = 1.1667852311433394064843628048914
y2[1] (numeric) = 1.1667852119714603557992698618616
absolute error = 1.91718790506850929430298e-08
relative error = 1.6431369320554787016237188818450e-06 %
h = 0.0001
y1[1] (analytic) = 2.5529494994654951850202318028063
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0735239608612921847469438675907
relative error = 2.8799614280143699375659708772888 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.586
y2[1] (analytic) = 1.1668405302592676385645747564984
y2[1] (numeric) = 1.1668405109749688188087407306719
absolute error = 1.92842988197558340258265e-08
relative error = 1.6526936046240127041533321256120e-06 %
h = 0.0001
y1[1] (analytic) = 2.553032818177494486927990346228
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0736072795732914866547024110124
relative error = 2.8831309589602811032738480119188 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=782.0MB, alloc=4.1MB, time=115.97
NO POLE
NO POLE
x[1] = 0.5861
y2[1] (analytic) = 1.1668958377067905611091147436013
y2[1] (numeric) = 1.1668958183095439270704301816149
absolute error = 1.93972466340386845619864e-08
relative error = 1.6622946116731876856335804004331e-06 %
h = 0.0001
y1[1] (analytic) = 2.5531161313591656116694108369795
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0736905927549626113961229017639
relative error = 2.8863000726775798231590830310643 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5862
y2[1] (analytic) = 1.1669511534853550996432144361505
y2[1] (numeric) = 1.1669511339746307390662833451181
absolute error = 1.95107243605769310910324e-08
relative error = 1.6719401066877462111083944938868e-06 %
h = 0.0001
y1[1] (analytic) = 2.55319943900967542742847630416
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0737739004054724271551883689444
relative error = 2.889468769196014957347651251704 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5863
y2[1] (analytic) = 1.1670064775944080963816894136262
y2[1] (numeric) = 1.1670064579696742255199891625717
absolute error = 1.96247338708617002510545e-08
relative error = 1.6816302435025777438313274508233e-06 %
h = 0.0001
y1[1] (analytic) = 2.5532827411281908577007828205998
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0738572025239878574274948853842
relative error = 2.8926370485453323003053195500541 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5864
y2[1] (analytic) = 1.1670618100333963102344707428856
y2[1] (numeric) = 1.1670617902941192693969803863288
absolute error = 1.97392770408374903565568e-08
relative error = 1.6913651763030988731505843779542e-06 %
h = 0.0001
y1[1] (analytic) = 2.5533660377138788813018702678965
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0739404991096758810285823326809
relative error = 2.895804910755274580594648828041 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.1MB, time=116.55
NO POLE
NO POLE
x[1] = 0.5865
y2[1] (analytic) = 1.1671171508017664168121373890589
y2[1] (numeric) = 1.1671171309474106659044335797049
absolute error = 1.98543557509077038093540e-08
relative error = 1.7011450596256334696150134064968e-06 %
h = 0.0001
y1[1] (analytic) = 2.553449328765906532375552548253
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0740237901617035321022646130374
relative error = 2.8989723558555814606321909979281 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5866
y2[1] (analytic) = 1.1671724998989650084314494594392
y2[1] (numeric) = 1.1671724799289931224912691169786
absolute error = 1.99699718859401803424606e-08
relative error = 1.7109700483577927672695613569529e-06 %
h = 0.0001
y1[1] (analytic) = 2.5535326142834409004022472430324
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0741070756792379001289593078168
relative error = 2.9021393838759895364458804022228 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5867
y2[1] (analytic) = 1.1672278573244385941208822803097
y2[1] (numeric) = 1.1672278372383112588481511833909
absolute error = 2.00861273352727310969188e-08
relative error = 1.7208402977388553731089758289925e-06 %
h = 0.0001
y1[1] (analytic) = 2.5536158942656491302073047179472
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0741903556614461299340167827316
relative error = 2.9053059948462323374326195861041 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5868
y2[1] (analytic) = 1.1672832230776335996261613066551
y2[1] (numeric) = 1.1672832028748096069074877751457
absolute error = 2.02028239927186735315094e-08
relative error = 1.7307559633601472036584279973769e-06 %
h = 0.0001
y1[1] (analytic) = 2.5536991687116984219693366747982
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0742736301074954216960487395826
relative error = 2.9084721887960403261160593395628 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=789.6MB, alloc=4.1MB, time=117.12
NO POLE
NO POLE
x[1] = 0.5869
y2[1] (analytic) = 1.1673385971579963674157978646988
y2[1] (numeric) = 1.1673385768379326108434306994097
absolute error = 2.03200637565723671652891e-08
relative error = 1.7407172011654213486496915389837e-06 %
h = 0.0001
y1[1] (analytic) = 2.5537824376207560312285441496819
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0743568990165530309552562144663
relative error = 2.9116379657551408979045729265997 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.587
y2[1] (analytic) = 1.1673939795649731566866257272142
y2[1] (numeric) = 1.1673939591271246270718755743121
absolute error = 2.04378485296147501529021e-08
relative error = 1.7507241674512378617619368538014e-06 %
h = 0.0001
y1[1] (analytic) = 2.5538657009919892688950449575815
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0744401623877862686217570223659
relative error = 2.9148033257532583808494244187152 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5871
y2[1] (analytic) = 1.1674493702980101433693385215508
y2[1] (numeric) = 1.1674493497418299242504618289451
absolute error = 2.05561802191188766926057e-08
relative error = 1.7607770188673434783955354663853e-06 %
h = 0.0001
y1[1] (analytic) = 2.5539489588245655012572005832587
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0745234202203625009839126480431
relative error = 2.9179682688201140354031310500293 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5872
y2[1] (analytic) = 1.1675047693565534201340279703235
y2[1] (numeric) = 1.1675047486814926832785727033634
absolute error = 2.06750607368554552669601e-08
relative error = 1.7708759124170512604482072163046e-06 %
h = 0.0001
y1[1] (analytic) = 2.5540322111176521499899425183632
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0746066725134491497166545831476
relative error = 2.9211327949854260541780195113852 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=793.4MB, alloc=4.1MB, time=117.69
x[1] = 0.5873
y2[1] (analytic) = 1.1675601767400489963957229647063
y2[1] (numeric) = 1.1675601559455569972973352485845
absolute error = 2.07944919990983877161218e-08
relative error = 1.7810210054576201680619558589608e-06 %
h = 0.0001
y1[1] (analytic) = 2.5541154578704166921630980446764
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0746899192662136918898101094608
relative error = 2.9242969042789095617049761008014 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5874
y2[1] (analytic) = 1.167615592447942798319929470278
y2[1] (numeric) = 1.1676155715334668716896203265887
absolute error = 2.09144759266303091436893e-08
relative error = 1.7912124557006345583100735549851e-06 %
h = 0.0001
y1[1] (analytic) = 2.5541986990820266602497154634062
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0747731604778236599764275281906
relative error = 2.9274605967302766141923906476807 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5875
y2[1] (analytic) = 1.1676710164796806688281712653621
y2[1] (numeric) = 1.167670995444666224080042610319
absolute error = 2.10350144447481286550431e-08
relative error = 1.8014504212123836107929589860437e-06 %
h = 0.0001
y1[1] (analytic) = 2.5542819347516496421343887704497
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0748563961474466418611008352341
relative error = 2.9306238723692361992852941282031 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5876
y2[1] (analytic) = 1.1677264488347083676035315118072
y2[1] (numeric) = 1.167726427678598884334960583681
absolute error = 2.11561094832685709281262e-08
relative error = 1.8117350604142406801118917693238e-06 %
h = 0.0001
y1[1] (analytic) = 2.55436516487845328112158177754
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0749396262742502808482938423244
relative error = 2.9337867312254942358246898893378 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5877
y2[1] (analytic) = 1.1677818895124715710961951581514
y2[1] (numeric) = 1.1677818682347085945624765415432
absolute error = 2.12777629765337186166082e-08
relative error = 1.8220665320830425751896784989586e-06 %
h = 0.0001
y1[1] (analytic) = 2.554448389461605275943951679195
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0750228508574022756706637439794
relative error = 2.9369491733287535736070783989967 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=797.2MB, alloc=4.1MB, time=118.26
NO POLE
NO POLE
x[1] = 0.5878
y2[1] (analytic) = 1.1678373385124158725289921751159
y2[1] (numeric) = 1.1678373171124390091124365897368
absolute error = 2.13999768634165555853791e-08
relative error = 1.8324449953514687654073808369893e-06 %
h = 0.0001
y1[1] (analytic) = 2.5545316085002733807706720653838
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0751060698960703804973841301682
relative error = 2.9401111987087139931441754397934 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5879
y2[1] (analytic) = 1.1678927958339867819029416233722
y2[1] (numeric) = 1.1678927743112336945764306450556
absolute error = 2.15227530873265109783166e-08
relative error = 1.8428706097084205135261772441493e-06 %
h = 0.0001
y1[1] (analytic) = 2.5546148219936254052157553798277
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0751892833894224049424674446121
relative error = 2.9432728073950722054228236639501 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.588
y2[1] (analytic) = 1.1679482614766297260027965535271
y2[1] (numeric) = 1.1679482398305361297877924352562
absolute error = 2.16460935962150041182709e-08
relative error = 1.8533435349993999353634652350782e-06 %
h = 0.0001
y1[1] (analytic) = 2.5546980299408292143463748238537
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0752724913366262140730868886381
relative error = 2.9464339994175218516650974269552 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5881
y2[1] (analytic) = 1.1680037354397900484025897382705
y2[1] (numeric) = 1.168003713669789705821599499058
absolute error = 2.17700003425809902392125e-08
relative error = 1.8638639314268889861924776224682e-06 %
h = 0.0001
y1[1] (analytic) = 2.5547812323410527286911857057154
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0753556937368497284178977704998
relative error = 2.9495947748057535030886008174877 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=801.1MB, alloc=4.1MB, time=118.83
NO POLE
NO POLE
x[1] = 0.5882
y2[1] (analytic) = 1.1680592177229130094711802366307
y2[1] (numeric) = 1.1680591958284377259946731861431
absolute error = 2.18944752834765070504876e-08
relative error = 1.8744319595507283738346472624772e-06 %
h = 0.0001
y1[1] (analytic) = 2.5548644291934639242486462352996
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.075438890589260923975358300084
relative error = 2.95275513358945466066695880128 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5883
y2[1] (analytic) = 1.168114708325443786377800790281
y2[1] (numeric) = 1.1681146863059234058655786571563
absolute error = 2.20195203805122221331247e-08
relative error = 1.8850477802884963984139073255658e-06 %
h = 0.0001
y1[1] (analytic) = 2.5549476204972308324953377641349
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0755220818930278322220498289193
relative error = 2.9559150757983097548905013965388 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5884
y2[1] (analytic) = 1.1681702072468274730976060518428
y2[1] (numeric) = 1.1681701851016898732346248837051
absolute error = 2.21451375998629811681377e-08
relative error = 1.8957115549158877187422977878796e-06 %
h = 0.0001
y1[1] (analytic) = 2.5550308062515215403942844706189
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0756052676473185401209965354033
relative error = 2.9590746014620001455271407985863 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5885
y2[1] (analytic) = 1.1682257144865090804172216451294
y2[1] (numeric) = 1.1682256922151801681438646483597
absolute error = 2.22713289122733569967697e-08
relative error = 1.9064234450670920453061927591662e-06 %
h = 0.0001
y1[1] (analytic) = 2.555113986455504190403272490381
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0756884478513011901299845551654
relative error = 2.96223371061020412138344137142 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.1MB, time=119.40
NO POLE
NO POLE
x[1] = 0.5886
y2[1] (analytic) = 1.1682812300439335359402940572751
y2[1] (numeric) = 1.1682812076458372428770945446532
absolute error = 2.23980962930631995126219e-08
relative error = 1.9171836127351727598225184907449e-06 %
h = 0.0001
y1[1] (analytic) = 2.5551971611083469804831684916976
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.075771622504143980209880556482
relative error = 2.965392403272596900065882423912 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5887
y2[1] (analytic) = 1.1683367539185456840930413626944
y2[1] (numeric) = 1.1683367313931039619598549770812
absolute error = 2.25254417221331863856132e-08
relative error = 1.9279922202724454613344727108208e-06 %
h = 0.0001
y1[1] (analytic) = 2.5552803302092181641062376958765
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0758547916050151638329497606609
relative error = 2.968550679478850627742313688394 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5888
y2[1] (analytic) = 1.1683922861097902861298047788146
y2[1] (numeric) = 1.1683922634564231021594301611022
absolute error = 2.26533671839703746177124e-08
relative error = 1.9388494303908564388159773063845e-06 %
h = 0.0001
y1[1] (analytic) = 2.5553634937572860502644613425274
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0759379551530830499911734073118
relative error = 2.9717085392586343789036034194034 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5889
y2[1] (analytic) = 1.1684478266171120201386010535284
y2[1] (numeric) = 1.1684478038352373524848481231374
absolute error = 2.27818746676537529303910e-08
relative error = 1.9497554061623610702546565896465e-06 %
h = 0.0001
y1[1] (analytic) = 2.555446651751719003477853599635
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0760211131475160032045656644194
relative error = 2.9748659826416141561254790303778 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.1MB, time=119.97
NO POLE
NO POLE
x[1] = 0.589
y2[1] (analytic) = 1.1685033754399554810466756843086
y2[1] (numeric) = 1.1685033525289893141868807005707
absolute error = 2.29109661668597949837379e-08
relative error = 1.9607103110193021481825979557947e-06 %
h = 0.0001
y1[1] (analytic) = 2.5555298041916854438027779183523
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0761042655874824435294899831367
relative error = 2.9780230096574528898305601861543 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5891
y2[1] (analytic) = 1.1685589325777651806260569689315
y2[1] (numeric) = 1.1685589095371215007580435417487
absolute error = 2.30406436798680134271828e-08
relative error = 1.9717143087547881316246605657130e-06 %
h = 0.0001
y1[1] (analytic) = 2.5556129510763538468402628324293
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0761874124721508465669748972137
relative error = 2.9811796203358104380505842690629 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5892
y2[1] (analytic) = 1.1686144980299855474991108877513
y2[1] (numeric) = 1.1686144748590763379325961059807
absolute error = 2.31709092095665147817706e-08
relative error = 1.9827675635230713244337505903357e-06 %
h = 0.0001
y1[1] (analytic) = 2.5556960924048927437443172021966
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.076270553800689743471029266981
relative error = 2.9843358147063435861888241365946 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5893
y2[1] (analytic) = 1.1686700717960609271440968174727
y2[1] (numeric) = 1.1686700484942961636865416635388
absolute error = 2.33017647634575551539339e-08
relative error = 1.9938702398399259799829303892124e-06 %
h = 0.0001
y1[1] (analytic) = 2.5557792281764707212302449030178
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0763536895722677209569569678022
relative error = 2.9874915927987060467826980884386 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=812.5MB, alloc=4.1MB, time=120.54
x[1] = 0.5894
y2[1] (analytic) = 1.1687256538754355819007240763629
y2[1] (numeric) = 1.1687256304422232282376272956579
absolute error = 2.34332123536630967807050e-08
relative error = 2.0050225025830263321837792332778e-06 %
h = 0.0001
y1[1] (analytic) = 2.5558623583902564215829589581301
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0764368197860534213096710229145
relative error = 2.9906469546425484592665719609163 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5895
y2[1] (analytic) = 1.1687812442675536909757093008502
y2[1] (numeric) = 1.1687812207022996940453438945355
absolute error = 2.35652539969303654063147e-08
relative error = 2.0162245169923245528009661065274e-06 %
h = 0.0001
y1[1] (analytic) = 2.5559454830454185426652951157875
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0765199444412155423920071805719
relative error = 2.9938019002675183897347532666786 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5896
y2[1] (analytic) = 1.1688368429718593504483346534523
y2[1] (numeric) = 1.1688368192739676358109261633319
absolute error = 2.36978917146374084901204e-08
relative error = 2.0274764486704286350326223816433e-06 %
h = 0.0001
y1[1] (analytic) = 2.5560286021411258379263248706262
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0766030635369228376530369354106
relative error = 2.9969564297032603307046772977555 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5897
y2[1] (analytic) = 1.1688924499877965732760068619787
y2[1] (numeric) = 1.16889242615666904047735261617
absolute error = 2.38311275327986542458087e-08
relative error = 2.0387784635829802033263712254711e-06 %
h = 0.0001
y1[1] (analytic) = 2.5561117156765471164096679291665
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0766861770723441161363799939509
relative error = 3.000110542979415700880285109871 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5898
y2[1] (analytic) = 1.1689480653148092892998170899519
y2[1] (numeric) = 1.1689480413498458072293455781356
absolute error = 2.39649634820704715118163e-08
relative error = 2.0501307280590322494007888011949e-06 %
h = 0.0001
y1[1] (analytic) = 2.5561948236508512427618041193698
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0767692850466482424885161841542
relative error = 3.0032642401256228449155933061286 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.1MB, time=121.12
NO POLE
NO POLE
x[1] = 0.5899
y2[1] (analytic) = 1.1690036889523413452501016381922
y2[1] (numeric) = 1.1690036648529397474933711852772
absolute error = 2.40994015977567304529150e-08
relative error = 2.0615334087914267944422814339189e-06 %
h = 0.0001
y1[1] (analytic) = 2.5562779260632071372403847441673
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0768523874590041369670968089517
relative error = 3.0064175211715170331784555381202 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.59
y2[1] (analytic) = 1.1690593208998365047520034775093
y2[1] (numeric) = 1.1690592966653925849376393846059
absolute error = 2.42344439198143640929034e-08
relative error = 2.0729866728371724774471271225527e-06 %
h = 0.0001
y1[1] (analytic) = 2.5563610229127837757225433788758
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0769354843085807754492554436602
relative error = 3.0095703861467304615145156424937 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5901
y2[1] (analytic) = 1.1691149611567384483310346124465
y2[1] (numeric) = 1.1691149367866459554721039340956
absolute error = 2.43700924928589306783509e-08
relative error = 2.0844906876178220696787244216392e-06 %
h = 0.0001
y1[1] (analytic) = 2.5564441141987501897132061124199
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0770185755945471894399181772043
relative error = 3.0127228350808922510113523311882 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5902
y2[1] (analytic) = 1.1691706097224907734186392760209
y2[1] (numeric) = 1.169170585216141407248462402683
absolute error = 2.45063493661701768733379e-08
relative error = 2.0960456209198499152099842448805e-06 %
h = 0.0001
y1[1] (analytic) = 2.5565271999202754663534012322758
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0771016613160724660801132970602
relative error = 3.0158748680036284477628153534157 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=820.1MB, alloc=4.1MB, time=121.69
NO POLE
NO POLE
x[1] = 0.5903
y2[1] (analytic) = 1.1692262665965369943577579554042
y2[1] (numeric) = 1.1692262419533204006601561702675
absolute error = 2.46432165936976017851367e-08
relative error = 2.1076516408950292975208894354107e-06 %
h = 0.0001
y1[1] (analytic) = 2.5566102800765287484285683530542
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0771847414723257481552804178386
relative error = 3.0190264849445620226335530475845 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5904
y2[1] (analytic) = 1.1692819317783205424083922484887
y2[1] (numeric) = 1.1692819069976243083423704277111
absolute error = 2.47806962340660218207776e-08
relative error = 2.1193089160608097321212848972557e-06 %
h = 0.0001
y1[1] (analytic) = 2.5566933546666792343768669886384
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0772678160624762341035790534228
relative error = 3.0221776859333128710237312013272 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5905
y2[1] (analytic) = 1.1693376052672847657531705512829
y2[1] (numeric) = 1.1693375803484944151720341768387
absolute error = 2.49187903505811363744442e-08
relative error = 2.1310176153006941851689562641498e-06 %
h = 0.0001
y1[1] (analytic) = 2.5567764236898961782974845677966
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.077350885085693178024196632581
relative error = 3.0253284709994978126339431379395 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5906
y2[1] (analytic) = 1.1693932870628729295029145760801
y2[1] (numeric) = 1.1693932620053719182678202304378
absolute error = 2.50575010112350943456423e-08
relative error = 2.1427779078646162180531272365193e-06 %
h = 0.0001
y1[1] (analytic) = 2.5568594871453488899589438931825
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0774339485411458896856559579669
relative error = 3.0284788401727305912303109473697 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=823.9MB, alloc=4.1MB, time=122.24
NO POLE
NO POLE
x[1] = 0.5907
y2[1] (analytic) = 1.169448977164528215702206700346
y2[1] (numeric) = 1.1694489519676979269901452122587
absolute error = 2.51968302887120614880873e-08
relative error = 2.1545899633693170579135864000300e-06 %
h = 0.0001
y1[1] (analytic) = 2.5569425450322067348074100436434
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0775170064280037345341221084278
relative error = 3.0316287934826218744097777801229 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5908
y2[1] (analytic) = 1.169504675571693723334958146268
y2[1] (numeric) = 1.1695046502349134629411695570144
absolute error = 2.53367802603937885892536e-08
relative error = 2.1664539517987225940655725329913e-06 %
h = 0.0001
y1[1] (analytic) = 2.5570255973496391339749967197514
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0776000587454361337017087845358
relative error = 3.0347783309587792533655911223314 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5909
y2[1] (analytic) = 1.1695603822838124683299779909115
y2[1] (numeric) = 1.1695603568064594599647975103807
absolute error = 2.54773530083651804805308e-08
relative error = 2.1783700435043203003006965026384e-06 %
h = 0.0001
y1[1] (analytic) = 2.5571086440968155642880720324759
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0776831054926125640147840972603
relative error = 3.037927452630807242652976970369 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.591
y2[1] (analytic) = 1.1696160973003273835665430069271
y2[1] (numeric) = 1.169616071681776764146677128996
absolute error = 2.56185506194198658779311e-08
relative error = 2.1903384092055360830341815401084e-06 %
h = 0.0001
y1[1] (analytic) = 2.5571916852729055582755637349123
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0777661466687025580022757996967
relative error = 3.0410761585283072799550048232859 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=827.8MB, alloc=4.1MB, time=122.81
NO POLE
NO POLE
x[1] = 0.5911
y2[1] (analytic) = 1.1696718206206813188799683337533
y2[1] (numeric) = 1.1696717948603061338142002804616
absolute error = 2.57603751850657680532917e-08
relative error = 2.2023592199901110552686902810983e-06 %
h = 0.0001
y1[1] (analytic) = 2.5572747208770787041772638969861
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0778491822728757039039759617705
relative error = 3.0442244486808777258486434115325 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5912
y2[1] (analytic) = 1.1697275522443170410671789792586
y2[1] (numeric) = 1.1697275263414882395365026433413
absolute error = 2.59028288015306763359173e-08
relative error = 2.2144326473144782363451560008683e-06 %
h = 0.0001
y1[1] (analytic) = 2.5573577509085046459521330230484
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0779322123043016456788450878328
relative error = 3.0473723231181138635710070803439 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5913
y2[1] (analytic) = 1.1697832921706772338922821517677
y2[1] (numeric) = 1.1697832661247636641244637071618
absolute error = 2.60459135697678184446059e-08
relative error = 2.2265588630041391774509109028435e-06 %
h = 0.0001
y1[1] (analytic) = 2.5574407753663530832866036122786
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.078015236762150083013315677063
relative error = 3.0505197818696078987857927461751 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5914
y2[1] (analytic) = 1.1698390403992044980921404224158
y2[1] (numeric) = 1.1698390142095729026307067724125
absolute error = 2.61896315954614336500033e-08
relative error = 2.2387380392540405128556302873758e-06 %
h = 0.0001
y1[1] (analytic) = 2.5575237942497937716028831618139
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0780982556455907713295952265983
relative error = 3.0536668249649489593499073447488 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=831.6MB, alloc=4.1MB, time=123.37
x[1] = 0.5915
y2[1] (analytic) = 1.1698947969293413513819457177752
y2[1] (numeric) = 1.1698947705953563623495989505455
absolute error = 2.63339849890323467672297e-08
relative error = 2.2509703486289504368454782987275e-06 %
h = 0.0001
y1[1] (analytic) = 2.55760680755799652206725661252
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0781812689537935217939686773044
relative error = 3.0568134524337230950802856891043 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5916
y2[1] (analytic) = 1.1699505617605302284607941426988
y2[1] (numeric) = 1.1699505352815543628172511639756
absolute error = 2.64789758656435429787232e-08
relative error = 2.2632559640638351063259984952157e-06 %
h = 0.0001
y1[1] (analytic) = 2.5576898152901312015983882373213
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0782642766859282013251003021057
relative error = 3.0599596643055132775208986562131 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5917
y2[1] (analytic) = 1.1700063348922134810172616333246
y2[1] (numeric) = 1.1700063082676071358115181460804
absolute error = 2.66246063452057434872442e-08
relative error = 2.2755950588642349690642619412929e-06 %
h = 0.0001
y1[1] (analytic) = 2.5577728174453677328756229720073
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0783472788411647326023350367917
relative error = 3.0631054606098993997099516206884 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5918
y2[1] (analytic) = 1.1700621163238333777349804401852
y2[1] (numeric) = 1.1700620895529548253519984412002
absolute error = 2.67708785523829819989850e-08
relative error = 2.2879878067066410175408490070722e-06 %
h = 0.0001
y1[1] (analytic) = 2.5578558140228760943472871884324
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0784302754186730940739992532168
relative error = 3.0662508413764582759472730541653 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5919
y2[1] (analytic) = 1.1701179060548321042982164413665
y2[1] (numeric) = 1.170117879137037487700034404638
absolute error = 2.69177946165981820367285e-08
relative error = 2.3004343816388709683822447049448e-06 %
h = 0.0001
y1[1] (analytic) = 2.5579388050218263202389889100258
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0785132664176233199657009748102
relative error = 3.0693958066347636415618932089306 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=835.4MB, alloc=4.1MB, time=123.94
NO POLE
NO POLE
x[1] = 0.592
y2[1] (analytic) = 1.1701737040846517633974472856612
y2[1] (numeric) = 1.1701736770192950913587122026596
absolute error = 2.70653566720387350830016e-08
relative error = 2.3129349580804453673444105037154e-06 %
h = 0.0001
y1[1] (analytic) = 2.5580217904413885005619174695279
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0785962518371855002886295343123
relative error = 3.0725403564143861526798128044012 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5921
y2[1] (analytic) = 1.1702295104127343747349413656586
y2[1] (numeric) = 1.1702294831991675170728618124934
absolute error = 2.72135668576620795531652e-08
relative error = 2.3254897108229636198180171525946e-06 %
h = 0.0001
y1[1] (analytic) = 2.5581047702807327811211426088724
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0786792316765297808478546736568
relative error = 3.0756844907448933859919616351776 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5922
y2[1] (analytic) = 1.1702853250385218750303376207177
y2[1] (numeric) = 1.1702852976760945578290570223307
absolute error = 2.73624273172012805983870e-08
relative error = 2.3380988150304799468262283603765e-06 %
h = 0.0001
y1[1] (analytic) = 2.5581877445390293635239130211279
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0787622059348263632506250859123
relative error = 3.0788282096558498385223470192237 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5923
y2[1] (analytic) = 1.1703411479614561180262261697658
y2[1] (numeric) = 1.1703411204495159188556154313253
absolute error = 2.75119401991706107384405e-08
relative error = 2.3507624462398792664857236611043e-06 %
h = 0.0001
y1[1] (analytic) = 2.558270713215448505187954334419
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0788451746112455049146663992034
relative error = 3.0819715131768169273963920049834 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.1MB, time=124.50
NO POLE
NO POLE
x[1] = 0.5924
y2[1] (analytic) = 1.1703969791809788744937297738683
y2[1] (numeric) = 1.170396951518871217622598449594
absolute error = 2.76621076568711313242743e-08
relative error = 2.3634807803612530009017464214062e-06 %
h = 0.0001
y1[1] (analytic) = 2.5583536763091605193497665377419
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0789281377049575190764786025263
relative error = 3.0851144013373529896094632560814 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5925
y2[1] (analytic) = 1.1704528186965318322380861285129
y2[1] (numeric) = 1.1704527908835999838418112982161
absolute error = 2.78129318483962748302968e-08
relative error = 2.3762539936782748084680861653836e-06 %
h = 0.0001
y1[1] (analytic) = 2.5584366338193357750729208485925
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0790110952151327747996329133769
relative error = 3.0882568741670132817955885323969 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5926
y2[1] (analytic) = 1.170508666507556596104230985552
y2[1] (numeric) = 1.1705086385431416594668030092338
absolute error = 2.79644149366374279763182e-08
relative error = 2.3890822628485762415426687499421e-06 %
h = 0.0001
y1[1] (analytic) = 2.5585195857451446972563560223238
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0790940471409416969830680871082
relative error = 3.0913989316953499799963636862765 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5927
y2[1] (analytic) = 1.1705645226134946879823821047492
y2[1] (numeric) = 1.1705644944969355986928664256519
absolute error = 2.81165590892895156790973e-08
relative error = 2.4019657649041223294699441632403e-06 %
h = 0.0001
y1[1] (analytic) = 2.5586025320857577666426741031497
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0791769934815547663693861679341
relative error = 3.0945405739519121794300490926931 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=843.0MB, alloc=4.1MB, time=125.06
NO POLE
NO POLE
x[1] = 0.5928
y2[1] (analytic) = 1.1706203870137875468136240348724
y2[1] (numeric) = 1.170620358744421067957038201438
absolute error = 2.82693664788565858334344e-08
relative error = 2.4149046772515870869207697320997e-06 %
h = 0.0001
y1[1] (analytic) = 2.5586854728403455198264356167117
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0792599342361425195531476814961
relative error = 3.097681800966245894260855432159 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5929
y2[1] (analytic) = 1.1706762597078765285954937242781
y2[1] (numeric) = 1.1706762312850372459380988015224
absolute error = 2.84228392826573949227557e-08
relative error = 2.4278991776727289475208745895134e-06 %
h = 0.0001
y1[1] (analytic) = 2.5587684080080785492624542041271
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0793428694038755489891662689115
relative error = 3.1008226127678940573684187453073 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.593
y2[1] (analytic) = 1.1707321406952029063875669609314
y2[1] (numeric) = 1.1707321121182232235565725017982
absolute error = 2.85769796828309944591332e-08
relative error = 2.4409494443247661227389093680963e-06 %
h = 0.0001
y1[1] (analytic) = 2.5588513375881275032740906974331
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0794257989839245030008027622175
relative error = 3.103963009386396520117464677924 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5931
y2[1] (analytic) = 1.170788029975207870317045641806
y2[1] (numeric) = 1.1707880012434180039747273891211
absolute error = 2.87317898663423182526849e-08
relative error = 2.4540556557407518860051911503175e-06 %
h = 0.0001
y1[1] (analytic) = 2.5589342615796630860615466363469
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0795087229754600857882587011313
relative error = 3.1071029908512900521276618354528 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=846.8MB, alloc=4.1MB, time=125.63
x[1] = 0.5932
y2[1] (analytic) = 1.1708439275473325275843458716069
y2[1] (numeric) = 1.1708438986600605025965753613096
absolute error = 2.88872720249877705102973e-08
relative error = 2.4672179908299497820320522627791e-06 %
h = 0.0001
y1[1] (analytic) = 2.5590171799818560577101572262565
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0795916413776530574368692910409
relative error = 3.1102425571921083410436641658182 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5933
y2[1] (analytic) = 1.170899833411017902468686890762
y2[1] (numeric) = 1.1708998043675895470678721271449
absolute error = 2.90434283554008147636171e-08
relative error = 2.4804366288782087613071577661489e-06 %
h = 0.0001
y1[1] (analytic) = 2.5591000927938772341986837373605
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0796745541896742339253958021449
relative error = 3.1133817084383819923053422895742 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5934
y2[1] (analytic) = 1.1709557475657049363336808326251
y2[1] (numeric) = 1.170955718365443877276117206371
absolute error = 2.92002610590575636262541e-08
relative error = 2.4937117495483382397307756449915e-06 %
h = 0.0001
y1[1] (analytic) = 2.5591830000148974874076053448736
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.079757461410694487134317409658
relative error = 3.1165204446196385289182036963499 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5935
y2[1] (analytic) = 1.1710116700108344876329233098352
y2[1] (numeric) = 1.1710116406530621453505539296945
absolute error = 2.93577723422823693801407e-08
relative error = 2.5070435328804830833683118143032e-06 %
h = 0.0001
y1[1] (analytic) = 2.5592659016440877451274104102148
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0798403630398847448541224749992
relative error = 3.1196587657654023912240017266039 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5936
memory used=850.7MB, alloc=4.1MB, time=126.20
y2[1] (analytic) = 1.1710676007458473319155848297757
y2[1] (numeric) = 1.1710675712298829156621694387848
absolute error = 2.95159644162534153909909e-08
relative error = 2.5204321592924985182892462247999e-06 %
h = 0.0001
y1[1] (analytic) = 2.5593487976806189910668872030958
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0799232590764159907935992678802
relative error = 3.1227966719051949366715332577405 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5937
y2[1] (analytic) = 1.1711235397701841618320030390784
y2[1] (numeric) = 1.1711235100953446648236946862741
absolute error = 2.96748394970083083528043e-08
relative error = 2.5338778095803249654638660765085e-06 %
h = 0.0001
y1[1] (analytic) = 2.559431688123662264861414064426
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0800061495194592645881261292104
relative error = 3.1259341630685344395876250136283 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5938
y2[1] (analytic) = 1.171179487083285587139275797115
y2[1] (numeric) = 1.1711794572488857816896044357573
absolute error = 2.98343998054496713613577e-08
relative error = 2.5473806649183628006889821614540e-06 %
h = 0.0001
y1[1] (analytic) = 2.5595145729723886620812490099519
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0800890343681856618079610747363
relative error = 3.1290712392849360909483084166385 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5939
y2[1] (analytic) = 1.1712354426845921347068550784218
y2[1] (numeric) = 1.1712354126899445673561172617919
absolute error = 2.99946475673507378166299e-08
relative error = 2.5609409068598470395141082067370e-06 %
h = 0.0001
y1[1] (analytic) = 2.5595974522259693342398187745477
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0801719136217663339665308393321
relative error = 3.1322079005839119981501829013099 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.594
y2[1] (analytic) = 1.1712914065735442485221417040005
y2[1] (numeric) = 1.1712913764179592351611955498983
absolute error = 3.01555850133609461541022e-08
relative error = 2.5745587173372219471393560281950e-06 %
h = 0.0001
y1[1] (analytic) = 2.559680325883575488802007297074
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0802547872793724885287193618584
relative error = 3.1353441469949711847819676087763 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.1MB, time=126.77
NO POLE
NO POLE
x[1] = 0.5941
y2[1] (analytic) = 1.1713473787495822896960809014392
y2[1] (numeric) = 1.1713473484323679106845454965595
absolute error = 3.03172143790115354048797e-08
relative error = 2.5882342786625155732565589678325e-06 %
h = 0.0001
y1[1] (analytic) = 2.5597631939443783891924436457219
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0803376553401753889191557105063
relative error = 3.1384799785476195903962413811338 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5942
y2[1] (analytic) = 1.1714033592121465364687586937988
y2[1] (numeric) = 1.1714033287326086317476171092212
absolute error = 3.04795379047211415845776e-08
relative error = 2.6019677735277142118050968600152e-06 %
h = 0.0001
y1[1] (analytic) = 2.5598460564075493548037893837604
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0804205178033463545305014485448
relative error = 3.1416153952713600702813709749732 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5943
y2[1] (analytic) = 1.1714593479606771842149991172071
y2[1] (numeric) = 1.171459317318119348413604206292
absolute error = 3.06425578358013949109151e-08
relative error = 2.6157593850051367856137968129247e-06 %
h = 0.0001
y1[1] (analytic) = 2.5599289132722597610050253756021
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0805033746680567607317374403865
relative error = 3.1447503971956923952336274132208 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5944
y2[1] (analytic) = 1.1715153449946143454499622671058
y2[1] (numeric) = 1.1715153141883379229874444171431
absolute error = 3.08062764224625178499627e-08
relative error = 2.6296092965478091559005949089317e-06 %
h = 0.0001
y1[1] (analytic) = 2.560011764537681039149738033107
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0805862259334780388764500978914
relative error = 3.1478849843501132513294903946363 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.1MB, time=127.34
NO POLE
NO POLE
x[1] = 0.5945
y2[1] (analytic) = 1.1715713503133980498347431730947
y2[1] (numeric) = 1.1715713193427021300158191821085
absolute error = 3.09706959198189239909862e-08
relative error = 2.6435176919898383566014680922952e-06 %
h = 0.0001
y1[1] (analytic) = 2.5600946102029846765844050020396
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.080669071598781676311117066824
relative error = 3.1510191567641162396981406801692 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5946
y2[1] (analytic) = 1.1716273639164682441819715023157
y2[1] (numeric) = 1.1716273327806496562871537524849
absolute error = 3.11358185878948177498308e-08
relative error = 2.6574847555467867535001916738516e-06 %
h = 0.0001
y1[1] (analytic) = 2.5601774502673422166566802885973
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0807519116631392163833923533817
relative error = 3.1541529144671918762941403755087 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5947
y2[1] (analytic) = 1.1716833858032647924614120913219
y2[1] (numeric) = 1.1716833545016181008316171905317
absolute error = 3.13016466916297949007902e-08
relative error = 2.6715106718160461281306435172786e-06 %
h = 0.0001
y1[1] (analytic) = 2.5602602847299252587236788259266
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.080834746125722258450390890711
relative error = 3.1572862574888275916703010291273 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5948
y2[1] (analytic) = 1.1717394159732274758055663063754
y2[1] (numeric) = 1.171739384505044974921122369471
absolute error = 3.14681825008844439369044e-08
relative error = 2.6855956257772116864233111158136e-06 %
h = 0.0001
y1[1] (analytic) = 2.5603431135899054581602604805455
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0809175749857024578869725453299
relative error = 3.1604191858585077307507394652203 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.1MB, time=127.91
NO POLE
NO POLE
x[1] = 0.5949
y2[1] (analytic) = 1.1717954544257959925152742321176
y2[1] (numeric) = 1.1717954227903677020693259734877
absolute error = 3.16354282904459482586299e-08
relative error = 2.6997398027924559920676953547389e-06 %
h = 0.0001
y1[1] (analytic) = 2.5604259368464545263673134985878
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0810003982422515260940255633722
relative error = 3.1635516996057135526041212708654 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.595
y2[1] (analytic) = 1.1718515011604099580653176885558
y2[1] (numeric) = 1.1718514693570236180316284977294
absolute error = 3.18033863400336891908264e-08
relative error = 2.7139433886069028245623764664929e-06 %
h = 0.0001
y1[1] (analytic) = 2.5605087544987442307800373917875
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0810832158945412305067494565719
relative error = 3.1666837987599232302170918568458 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5951
y2[1] (analytic) = 1.1719075561765089051100240763114
y2[1] (numeric) = 1.1719075242044499708051742483064
absolute error = 3.19720589343048498280050e-08
relative error = 2.7282065693490009619246220386921e-06 %
h = 0.0001
y1[1] (analytic) = 2.5605915665459463948762252631193
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0811660279417433946029373279037
relative error = 3.1698154833506118502678950115249 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5952
y2[1] (analytic) = 1.1719636194735322834888710500712
y2[1] (numeric) = 1.1719635873320839206288513422918
absolute error = 3.21414483628600197077794e-08
relative error = 2.7425295315308978880311558085234e-06 %
h = 0.0001
y1[1] (analytic) = 2.5606743729872328981845455720145
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0812488343830298979112576367989
relative error = 3.1729467534072514129001788673108 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=865.9MB, alloc=4.1MB, time=128.48
x[1] = 0.5953
y2[1] (analytic) = 1.1720196910509194602320920201885
y2[1] (numeric) = 1.1720196587393625399832917077214
absolute error = 3.23115569202488003124671e-08
relative error = 2.7569124620488134245622128749548e-06 %
h = 0.0001
y1[1] (analytic) = 2.5607571738217756762928233390671
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0813316352175726760195354038515
relative error = 3.1760776089593108314969891991046 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5954
y2[1] (analytic) = 1.1720757709081097195662824823759
y2[1] (numeric) = 1.1720757384257228135908710835937
absolute error = 3.24823869059754113987822e-08
relative error = 2.7713555481834132875205836732187e-06 %
h = 0.0001
y1[1] (analytic) = 2.5608399690487467208563207901487
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0814144304445437205830328549331
relative error = 3.1792080500362559324549499742942 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5955
y2[1] (analytic) = 1.1721318590445422629200071754344
y2[1] (numeric) = 1.17213182639060163841570901987
absolute error = 3.26539406245042981555644e-08
relative error = 2.7858589776001825682976426013641e-06 %
h = 0.0001
y1[1] (analytic) = 2.5609227586673180796060174398487
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0814972200631150793327295046331
relative error = 3.1823380766675494549586310738055 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5956
y2[1] (analytic) = 1.1721879554596562089294080669637
y2[1] (numeric) = 1.1721879226334358236636688774742
absolute error = 3.28262203852657391894895e-08
relative error = 2.8004229383497991392584544005780e-06 %
h = 0.0001
y1[1] (analytic) = 2.561005542676661856356889614158
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0815800040724588560836016789424
relative error = 3.1854676888826510507551031038095 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5957
y2[1] (analytic) = 1.1722440601528905934438131669956
y2[1] (numeric) = 1.172244027153662090782357828293
absolute error = 3.29992285026614553387026e-08
relative error = 2.8150476188685069838177390971348e-06 %
h = 0.0001
y1[1] (analytic) = 2.5610883210759502110161894123123
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0816627824717472107429014770967
relative error = 3.1885968867110172839286792176326 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.1MB, time=129.05
NO POLE
NO POLE
x[1] = 0.5958
y2[1] (analytic) = 1.172300173123684369531346169496
y2[1] (numeric) = 1.1723001399507170734611268551759
absolute error = 3.31729672960702193143201e-08
relative error = 2.8297332079784894509789318831121e-06 %
h = 0.0001
y1[1] (analytic) = 2.5611710938643553595917231077124
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0817455552601523593184351724968
relative error = 3.1917256701821016306758438674902 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5959
y2[1] (analytic) = 1.1723562943714764074845369216795
y2[1] (numeric) = 1.172356261024037317631070751935
absolute error = 3.33474390898534661697445e-08
relative error = 2.8444798948882424343084326051392e-06 %
h = 0.0001
y1[1] (analytic) = 2.5612538610410495742001289878394
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0818283224368465739268410526238
relative error = 3.1948540393253544790803684057111 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.596
y2[1] (analytic) = 1.172412423895705494825932721079
y2[1] (numeric) = 1.1724123903730592814650281233452
absolute error = 3.35226462133609045977338e-08
relative error = 2.8592878691929474753169893613064e-06 %
h = 0.0001
y1[1] (analytic) = 2.5613366226052051830751546330814
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0819110840010021828018666978658
relative error = 3.1979819941702231288886134550952 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5961
y2[1] (analytic) = 1.1724685616958103363137104403155
y2[1] (numeric) = 1.1724685279972193353775813851441
absolute error = 3.36985910009361290551714e-08
relative error = 2.8741573208748447912205479368971e-06 %
h = 0.0001
y1[1] (analytic) = 2.5614193785559945705759336343894
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0819938399517915703026456991738
relative error = 3.2011095347461517912850179681138 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=873.5MB, alloc=4.1MB, time=129.62
NO POLE
NO POLE
x[1] = 0.5962
y2[1] (analytic) = 1.1725247077712295539472894795121
y2[1] (numeric) = 1.1725246738959537620250567640321
absolute error = 3.38752757919222327154800e-08
relative error = 2.8890884403036062270527315211128e-06 %
h = 0.0001
y1[1] (analytic) = 2.5615021288925901771952617496785
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0820765902883871769219738144629
relative error = 3.204236661082581588667774894629 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5963
y2[1] (analytic) = 1.1725808621214016869729455462945
y2[1] (numeric) = 1.1725808280686987563055242976722
absolute error = 3.40527029306674212486223e-08
relative error = 2.9040814182367081321010929169702e-06 %
h = 0.0001
y1[1] (analytic) = 2.5615848736141644995678724988935
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0821593350099614992945845636779
relative error = 3.207363373208950554424693377947 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5964
y2[1] (analytic) = 1.1726370247457651918894252633243
y2[1] (numeric) = 1.1726369905148904253587978346902
absolute error = 3.42308747665306274286341e-08
relative error = 2.9191364458198041606395577158198e-06 %
h = 0.0001
y1[1] (analytic) = 2.5616676127198900904787121976545
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0822420741156870902054242624389
relative error = 3.2104896711546936327092473989131 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5965
y2[1] (analytic) = 1.172693195643758442453561603306
y2[1] (numeric) = 1.1726931612339647885664350346747
absolute error = 3.44097936538871265686313e-08
relative error = 2.9342537145870979969291646660411e-06 %
h = 0.0001
y1[1] (analytic) = 2.5617503462089395588712144294006
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.082324807604736558597926494185
relative error = 3.2136155549492426782168107878771 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=877.4MB, alloc=4.1MB, time=130.17
NO POLE
NO POLE
x[1] = 0.5966
y2[1] (analytic) = 1.1727493748148197296858901514149
y2[1] (numeric) = 1.1727493402253577775517373681769
absolute error = 3.45894619521341527832380e-08
relative error = 2.9494334164617160044597330083640e-06 %
h = 0.0001
y1[1] (analytic) = 2.5618330740804855698555739559487
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0824075354762825695822860207331
relative error = 3.216741024622026455961078524342 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5967
y2[1] (analytic) = 1.1728055622583872618762661950862
y2[1] (numeric) = 1.1728055274885052361797501167108
absolute error = 3.47698820256965160783754e-08
relative error = 2.9646757437560797994044843683040e-06 %
h = 0.0001
y1[1] (analytic) = 2.5619157963337008447170200663844
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0824902577294978444437321311688
relative error = 3.2198660802024706410506742441353 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5968
y2[1] (analytic) = 1.1728617579738991645894826411126
y2[1] (numeric) = 1.1728617230228429205572623727531
absolute error = 3.49510562440322202683595e-08
relative error = 2.9799808891722787482603920131739e-06 %
h = 0.0001
y1[1] (analytic) = 2.5619985129677581609240893642032
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0825729743635551606508014289876
relative error = 3.2229907217199978184659438740105 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5969
y2[1] (analytic) = 1.1729179619607934806708887599909
y2[1] (numeric) = 1.1729179268278064990328070397433
absolute error = 3.51329869816380817202476e-08
relative error = 2.9953490458024423896463854873766e-06 %
h = 0.0001
y1[1] (analytic) = 2.562081223981830352136897992618
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0826556853776273518636100574024
relative error = 3.2261149492040274828359353135342 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=881.2MB, alloc=4.1MB, time=130.74
NO POLE
NO POLE
x[1] = 0.597
y2[1] (analytic) = 1.1729741742185081702520097574644
y2[1] (numeric) = 1.1729741389028315521966608320835
absolute error = 3.53156766180553489253809e-08
relative error = 3.0107804071291127802321985074572e-06 %
h = 0.0001
y1[1] (analytic) = 2.5621639293750903082154132979511
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0827383907708873079421253627355
relative error = 3.2292387626839760382155640842174 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5971
y2[1] (analytic) = 1.1730303947464811107561671732026
y2[1] (numeric) = 1.1730303592473535728808442751387
absolute error = 3.54991275378753228980639e-08
relative error = 3.0262751670256167647701226236230e-06 %
h = 0.0001
y1[1] (analytic) = 2.5622466291467109752277249310275
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0828210905425079749544369958119
relative error = 3.2323621621892567978629648658266 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5972
y2[1] (analytic) = 1.1730866235441500969041001065637
y2[1] (numeric) = 1.1730865878608079661591217052364
absolute error = 3.56833421307449784013273e-08
relative error = 3.0418335197564381702024781026809e-06 %
h = 0.0001
y1[1] (analytic) = 2.5623293232958653554583153864875
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0829037846916623551850274512719
relative error = 3.2354851477492799840170288398792 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5973
y2[1] (analytic) = 1.173142860610952840719587269382
y2[1] (numeric) = 1.173142824742630049347001269667
absolute error = 3.58683227913725859997150e-08
relative error = 3.0574556599775899238171307883754e-06 %
h = 0.0001
y1[1] (analytic) = 2.5624120118217265074163299799346
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.082986473217523507143042044719
relative error = 3.2386077193934527276751267602791 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=885.0MB, alloc=4.1MB, time=131.31
x[1] = 0.5974
y2[1] (analytic) = 1.1731991059463269715350698657258
y2[1] (numeric) = 1.1731990698922550520017349266836
absolute error = 3.60540719195333349390422e-08
relative error = 3.0731417827369860954239666740991e-06 %
h = 0.0001
y1[1] (analytic) = 2.5624946947234675458438462628371
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0830691561192645455705583276215
relative error = 3.2417298771511790683710176711643 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5975
y2[1] (analytic) = 1.1732553595497100359972752985684
y2[1] (numeric) = 1.173255323309118115922318445502
absolute error = 3.62405919200749568530664e-08
relative error = 3.0888920834748138635248299553434e-06 %
h = 0.0001
y1[1] (analytic) = 2.5625773720002616417241428751009
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0831518333960586414508549398853
relative error = 3.2448516210518599539529431920292 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5976
y2[1] (analytic) = 1.1733116214205394980728417033156
y2[1] (numeric) = 1.1733115849926542951494914063008
absolute error = 3.64278852029233502970148e-08
relative error = 3.1047067580239054054496126227687e-06 %
h = 0.0001
y1[1] (analytic) = 2.5626600436512820222899678352294
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0832345050470790220166799000138
relative error = 3.2479729511248932403619072901515 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5977
y2[1] (analytic) = 1.1733678915582527390539433081352
y2[1] (numeric) = 1.1733678549422985559657372002212
absolute error = 3.66159541830882061079140e-08
relative error = 3.1205860026101097114314255359164e-06 %
h = 0.0001
y1[1] (analytic) = 2.5627427096757019710318062679893
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0833171710714989707585183327737
relative error = 3.2510938673996736914101414604873 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5978
y2[1] (analytic) = 1.1734241699622870575639166210304
y2[1] (numeric) = 1.1734241331574857768952830293672
absolute error = 3.68048012806686335916632e-08
relative error = 3.1365300138526643225934176324524e-06 %
h = 0.0001
y1[1] (analytic) = 2.5628253700726948277061475694989
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0833998314684918274328596342833
relative error = 3.254214369905592978559755233141 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.1MB, time=131.87
NO POLE
NO POLE
x[1] = 0.5979
y2[1] (analytic) = 1.1734804566320796695628874436015
y2[1] (numeric) = 1.1734804196376507487040999068056
absolute error = 3.69944289208587875367959e-08
relative error = 3.1525389887645669928201711473669e-06 %
h = 0.0001
y1[1] (analytic) = 2.562908024841433988343752009656
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0834824862372309880704640744404
relative error = 3.2573344586720396807015719285612 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.598
y2[1] (analytic) = 1.1735367515670677083533987114403
y2[1] (numeric) = 1.1735367143822281743999026565658
absolute error = 3.71848395339534960548745e-08
relative error = 3.1686131247529472744865868520819e-06 %
h = 0.0001
y1[1] (analytic) = 2.5629906739810929052579167718239
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0835651353768899049846288366083
relative error = 3.2604541337283992839341495806934 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5981
y2[1] (analytic) = 1.1735930547666882245860391610998
y2[1] (numeric) = 1.17359301739065266923214991364
absolute error = 3.73760355553538892474598e-08
relative error = 3.1847526196194380280170060966545e-06 %
h = 0.0001
y1[1] (analytic) = 2.5630733174908450870527414296912
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0836477788866420867794534944756
relative error = 3.2635733951040541813429869482372 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5982
y2[1] (analytic) = 1.1736493662303781862650728235835
y2[1] (numeric) = 1.1736493286623587606920441239831
absolute error = 3.75680194255730286996004e-08
relative error = 3.2009576715605468552476093938845e-06 %
h = 0.0001
y1[1] (analytic) = 2.563155955369864098631392861224
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0837304167656610983581049260084
relative error = 3.2666922428283836727799145342959 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.1MB, time=132.43
NO POLE
NO POLE
x[1] = 0.5983
y2[1] (analytic) = 1.1737056859575744787540693442984
y2[1] (numeric) = 1.1737056481967808885125315445127
absolute error = 3.77607935902415377997857e-08
relative error = 3.2172284791680274565650577591312e-06 %
h = 0.0001
y1[1] (analytic) = 2.5632385876173235612043695996275
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0838130490131205609310816644119
relative error = 3.2698106769307639646426705346662 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5984
y2[1] (analytic) = 1.1737620139477139047815351294143
y2[1] (numeric) = 1.1737619759933534046683022431092
absolute error = 3.79543605001132328863051e-08
relative error = 3.2335652414292509117942865724330e-06 %
h = 0.0001
y1[1] (analytic) = 2.5633212142323971522977656212337
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0838956756281941520244776860181
relative error = 3.2729286974405681696546616350335 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5985
y2[1] (analytic) = 1.1738183502002331844465453185742
y2[1] (numeric) = 1.1738183120515105733757900986157
absolute error = 3.81487226110707552199585e-08
relative error = 3.2499681577275768848086120049167e-06 %
h = 0.0001
y1[1] (analytic) = 2.5634038352142586057615335702342
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0839782966100556054882456350186
relative error = 3.2760463043871663066449085774512 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5986
y2[1] (analytic) = 1.1738746947145689552243765838989
y2[1] (numeric) = 1.173874656370686571093172800838
absolute error = 3.83438823841312037830609e-08
relative error = 3.2664374278427247518351513233572e-06 %
h = 0.0001
y1[1] (analytic) = 2.5634864505620817117777474201731
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0840609119578787115044594849575
relative error = 3.2791634977999253003281764163527 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.1MB, time=133.00
NO POLE
NO POLE
x[1] = 0.5987
y2[1] (analytic) = 1.1739310474901577719721407552294
y2[1] (numeric) = 1.1739310089503154865203718505447
absolute error = 3.85398422854517689046847e-08
relative error = 3.2829732519511446534286638039884e-06 %
h = 0.0001
y1[1] (analytic) = 2.56356906027504031686886457212
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0841435216708373165955766369044
relative error = 3.2822802777082089810852893845658 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5988
y2[1] (analytic) = 1.1739874085264361069344192715511
y2[1] (numeric) = 1.1739873697898313205990525594671
absolute error = 3.87366047863353667120840e-08
relative error = 3.2995758306263884700870158471773e-06 %
h = 0.0001
y1[1] (analytic) = 2.5636516643523083239059873894381
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0842261257481053236326994542225
relative error = 3.28539664414137808474363028963 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5989
y2[1] (analytic) = 1.1740437778228403497488984585433
y2[1] (numeric) = 1.1740437388886679865126240502991
absolute error = 3.89341723632362744082442e-08
relative error = 3.3162453648394807214814259113251e-06 %
h = 0.0001
y1[1] (analytic) = 2.5637342627930596921171241690665
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0843087241888566918438362338509
relative error = 3.2885125971287902523578243609006 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.599
y2[1] (analytic) = 1.1741001553788068074520056321979
y2[1] (numeric) = 1.1741001162462593096862392566975
absolute error = 3.91325474977657663755004e-08
relative error = 3.3329820559592893892746991445136e-06 %
h = 0.0001
y1[1] (analytic) = 2.5638168555964684370954495492333
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0843913169922654368221616140177
relative error = 3.2916281366998000299906074678557 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=900.2MB, alloc=4.1MB, time=133.56
NO POLE
NO POLE
x[1] = 0.5991
y2[1] (analytic) = 1.1741565411937717044845460284501
y2[1] (numeric) = 1.1741565018620390277867949232818
absolute error = 3.93317326766977511051683e-08
relative error = 3.3497861057528966635007158358773e-06 %
h = 0.0001
y1[1] (analytic) = 2.5638994427617086308075643535166
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.084473904157505630534276418301
relative error = 3.2947432628837588684938786300634 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5992
y2[1] (analytic) = 1.1742129352671711826973405587655
y2[1] (numeric) = 1.1742128957354407907229316056342
absolute error = 3.95317303919744089531313e-08
relative error = 3.3666577163859696124784750027483e-06 %
h = 0.0001
y1[1] (analytic) = 2.5639820242879544016017548711722
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0845564856837514013284669359566
relative error = 3.2978579757100151232899367393593 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5993
y2[1] (analytic) = 1.1742693375984413013568643916278
y2[1] (numeric) = 1.1742692978658981606450336702996
absolute error = 3.97325431407118307213282e-08
relative error = 3.3835970904231307762340912258615e-06 %
h = 0.0001
y1[1] (analytic) = 2.5640646001743799342162515736432
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0846390615701769339429636384276
relative error = 3.300972275207914054152901414673 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5994
y2[1] (analytic) = 1.1743257481870180371508863598688
y2[1] (numeric) = 1.1743257082528446119452292947856
absolute error = 3.99341734252056570650832e-08
relative error = 3.4006044308283286834039500781836e-06 %
h = 0.0001
y1[1] (analytic) = 2.5641471704201594697874872671714
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0847216318159564695141993319558
relative error = 3.3040861614067978249903179101442 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=904.1MB, alloc=4.1MB, time=134.12
x[1] = 0.5995
y2[1] (analytic) = 1.1743821670323372841941091937863
y2[1] (numeric) = 1.1743821268957135312573904675627
absolute error = 4.01366237529367187262236e-08
relative error = 3.4176799409652082915925797836091e-06 %
h = 0.0001
y1[1] (analytic) = 2.5642297350244673058583546814255
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0848041964202643055850667462099
relative error = 3.3071996343360055036249459970131 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5996
y2[1] (analytic) = 1.1744385941338348540338105799923
y2[1] (numeric) = 1.1744385537939382174571329880639
absolute error = 4.03398966365766775919284e-08
relative error = 3.4348238245974813511586465191717e-06 %
h = 0.0001
y1[1] (analytic) = 2.5643122939864777963864634940661
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0848867553822747961131755588505
relative error = 3.3103126940248730615767327399782 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5997
y2[1] (analytic) = 1.1744950294909464756554850459353
y2[1] (numeric) = 1.1744949889469518816618164666851
absolute error = 4.05439945939936685792502e-08
relative error = 3.4520362858892966924024498235738e-06 %
h = 0.0001
y1[1] (analytic) = 2.5643948473053653517523967911618
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0849693087011623514791088559462
relative error = 3.3134253405027333738449690885329 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5998
y2[1] (analytic) = 1.1745514731031077954884866700411
y2[1] (numeric) = 1.1745514323541876472305443247848
absolute error = 4.07489201482579423452563e-08
relative error = 3.4693175294056104361286297412419e-06 %
h = 0.0001
y1[1] (analytic) = 2.5644773949803044387679669633772
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0850518563761014384946790281616
relative error = 3.3165375737989162186906302040542 %
h = 0.0001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.5999
y2[1] (analytic) = 1.1746079249697543774116726174142
y2[1] (numeric) = 1.1746078840150785497641637946843
absolute error = 4.09546758276475088227299e-08
relative error = 3.4866677601125561275574087135000e-06 %
h = 0.0001
y1[1] (analytic) = 2.5645599370104695806844710378474
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0851343984062665804111831026318
relative error = 3.3196493939427482774188994432179 %
h = 0.0001
TOP MAIN SOLVE Loop
memory used=907.9MB, alloc=4.1MB, time=134.68
NO POLE
NO POLE
x[1] = 0.6
y2[1] (analytic) = 1.1746643850903217027590475010446
y2[1] (numeric) = 1.1746643439290575371052659196677
absolute error = 4.11612641656537815813769e-08
relative error = 3.5040871833778147935581200402358e-06 %
h = 0.0001
y1[1] (analytic) = 2.5646424733950353572009454456587
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0852169347908323569276575104431
relative error = 3.3227608009635531341618759185234 %
h = 0.0001
Finished!
Maximum Iterations Reached before Solution Completed!
diff(y2,x,1) = y1 - 2.0;
diff(y1,x,1) = diff(y2,x,5);
Iterations = 1000
Total Elapsed Time = 2 Minutes 14 Seconds
Elapsed Time(since restart) = 2 Minutes 14 Seconds
Expected Time Remaining = 3 Hours 30 Minutes 50 Seconds
Optimized Time Remaining = 3 Hours 30 Minutes 47 Seconds
Time to Timeout = 12 Minutes 45 Seconds
Percent Done = 1.054 %
> quit
memory used=908.8MB, alloc=4.1MB, time=134.82