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> #BEGIN OUTFILE1
>
> # Begin Function number 3
> display_alot := proc(iter)
> global
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_no_eqs,
> glob_max_trunc_err,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_log10relerr,
> glob_relerr,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_max_rel_trunc_err,
> glob_dump_analytic,
> glob_clock_sec,
> glob_html_log,
> glob_current_iter,
> glob_small_float,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_abserr,
> glob_almost_1,
> glob_log10_abserr,
> glob_hmin,
> glob_optimal_done,
> centuries_in_millinium,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_curr_iter_when_opt,
> glob_start,
> glob_warned2,
> glob_large_float,
> glob_h,
> glob_disp_incr,
> years_in_century,
> glob_normmax,
> glob_max_sec,
> glob_smallish_float,
> glob_log10_relerr,
> glob_look_poles,
> days_in_year,
> glob_dump,
> glob_optimal_clock_start_sec,
> glob_not_yet_start_msg,
> glob_clock_start_sec,
> glob_display_flag,
> glob_percent_done,
> glob_iter,
> glob_orig_start_sec,
> glob_warned,
> glob_max_hours,
> glob_last_good_h,
> min_in_hour,
> sec_in_min,
> djd_debug,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_max_iter,
> glob_hmax,
> glob_initial_pass,
> hours_in_day,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_last_rel_error,
> array_m1,
> array_x,
> array_type_pole,
> array_y2_init,
> array_y2,
> array_y1,
> array_pole,
> array_norms,
> array_y1_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_1st_rel_error,
> array_y2_set_initial,
> array_real_pole,
> array_y1_set_initial,
> array_y2_higher_work2,
> array_y2_higher_work,
> array_y2_higher,
> array_complex_pole,
> array_y1_higher_work2,
> array_y1_higher_work,
> array_y1_higher,
> array_poles,
> 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 glob_iolevel, INFO, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_max_terms,
MAX_UNCHANGED, glob_no_eqs, glob_max_trunc_err, glob_hmin_init,
glob_reached_optimal_h, glob_log10relerr, glob_relerr,
glob_not_yet_finished, glob_max_minutes, glob_max_rel_trunc_err,
glob_dump_analytic, glob_clock_sec, glob_html_log, glob_current_iter,
glob_small_float, glob_max_opt_iter, glob_optimal_expect_sec, glob_abserr,
glob_almost_1, glob_log10_abserr, glob_hmin, glob_optimal_done,
centuries_in_millinium, djd_debug2, glob_log10normmin, glob_log10abserr,
glob_curr_iter_when_opt, glob_start, glob_warned2, glob_large_float, glob_h,
glob_disp_incr, years_in_century, glob_normmax, glob_max_sec,
glob_smallish_float, glob_log10_relerr, glob_look_poles, days_in_year,
glob_dump, glob_optimal_clock_start_sec, glob_not_yet_start_msg,
glob_clock_start_sec, glob_display_flag, glob_percent_done, glob_iter,
glob_orig_start_sec, glob_warned, glob_max_hours, glob_last_good_h,
min_in_hour, sec_in_min, djd_debug, glob_unchanged_h_cnt,
glob_optimal_start, glob_max_iter, glob_hmax, glob_initial_pass,
hours_in_day, glob_subiter_method, array_const_5, array_const_1,
array_const_0D0, array_const_2D0, array_last_rel_error, array_m1, array_x,
array_type_pole, array_y2_init, array_y2, array_y1, array_pole, array_norms,
array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_1st_rel_error, array_y2_set_initial, array_real_pole,
array_y1_set_initial, array_y2_higher_work2, array_y2_higher_work,
array_y2_higher, array_complex_pole, array_y1_higher_work2,
array_y1_higher_work, array_y1_higher, array_poles, 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
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_no_eqs,
> glob_max_trunc_err,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_log10relerr,
> glob_relerr,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_max_rel_trunc_err,
> glob_dump_analytic,
> glob_clock_sec,
> glob_html_log,
> glob_current_iter,
> glob_small_float,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_abserr,
> glob_almost_1,
> glob_log10_abserr,
> glob_hmin,
> glob_optimal_done,
> centuries_in_millinium,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_curr_iter_when_opt,
> glob_start,
> glob_warned2,
> glob_large_float,
> glob_h,
> glob_disp_incr,
> years_in_century,
> glob_normmax,
> glob_max_sec,
> glob_smallish_float,
> glob_log10_relerr,
> glob_look_poles,
> days_in_year,
> glob_dump,
> glob_optimal_clock_start_sec,
> glob_not_yet_start_msg,
> glob_clock_start_sec,
> glob_display_flag,
> glob_percent_done,
> glob_iter,
> glob_orig_start_sec,
> glob_warned,
> glob_max_hours,
> glob_last_good_h,
> min_in_hour,
> sec_in_min,
> djd_debug,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_max_iter,
> glob_hmax,
> glob_initial_pass,
> hours_in_day,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_last_rel_error,
> array_m1,
> array_x,
> array_type_pole,
> array_y2_init,
> array_y2,
> array_y1,
> array_pole,
> array_norms,
> array_y1_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_1st_rel_error,
> array_y2_set_initial,
> array_real_pole,
> array_y1_set_initial,
> array_y2_higher_work2,
> array_y2_higher_work,
> array_y2_higher,
> array_complex_pole,
> array_y1_higher_work2,
> array_y1_higher_work,
> array_y1_higher,
> array_poles,
> 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 glob_iolevel, INFO, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_max_terms,
MAX_UNCHANGED, glob_no_eqs, glob_max_trunc_err, glob_hmin_init,
glob_reached_optimal_h, glob_log10relerr, glob_relerr,
glob_not_yet_finished, glob_max_minutes, glob_max_rel_trunc_err,
glob_dump_analytic, glob_clock_sec, glob_html_log, glob_current_iter,
glob_small_float, glob_max_opt_iter, glob_optimal_expect_sec, glob_abserr,
glob_almost_1, glob_log10_abserr, glob_hmin, glob_optimal_done,
centuries_in_millinium, djd_debug2, glob_log10normmin, glob_log10abserr,
glob_curr_iter_when_opt, glob_start, glob_warned2, glob_large_float, glob_h,
glob_disp_incr, years_in_century, glob_normmax, glob_max_sec,
glob_smallish_float, glob_log10_relerr, glob_look_poles, days_in_year,
glob_dump, glob_optimal_clock_start_sec, glob_not_yet_start_msg,
glob_clock_start_sec, glob_display_flag, glob_percent_done, glob_iter,
glob_orig_start_sec, glob_warned, glob_max_hours, glob_last_good_h,
min_in_hour, sec_in_min, djd_debug, glob_unchanged_h_cnt,
glob_optimal_start, glob_max_iter, glob_hmax, glob_initial_pass,
hours_in_day, glob_subiter_method, array_const_5, array_const_1,
array_const_0D0, array_const_2D0, array_last_rel_error, array_m1, array_x,
array_type_pole, array_y2_init, array_y2, array_y1, array_pole, array_norms,
array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_1st_rel_error, array_y2_set_initial, array_real_pole,
array_y1_set_initial, array_y2_higher_work2, array_y2_higher_work,
array_y2_higher, array_complex_pole, array_y1_higher_work2,
array_y1_higher_work, array_y1_higher, array_poles, 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
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_no_eqs,
> glob_max_trunc_err,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_log10relerr,
> glob_relerr,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_max_rel_trunc_err,
> glob_dump_analytic,
> glob_clock_sec,
> glob_html_log,
> glob_current_iter,
> glob_small_float,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_abserr,
> glob_almost_1,
> glob_log10_abserr,
> glob_hmin,
> glob_optimal_done,
> centuries_in_millinium,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_curr_iter_when_opt,
> glob_start,
> glob_warned2,
> glob_large_float,
> glob_h,
> glob_disp_incr,
> years_in_century,
> glob_normmax,
> glob_max_sec,
> glob_smallish_float,
> glob_log10_relerr,
> glob_look_poles,
> days_in_year,
> glob_dump,
> glob_optimal_clock_start_sec,
> glob_not_yet_start_msg,
> glob_clock_start_sec,
> glob_display_flag,
> glob_percent_done,
> glob_iter,
> glob_orig_start_sec,
> glob_warned,
> glob_max_hours,
> glob_last_good_h,
> min_in_hour,
> sec_in_min,
> djd_debug,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_max_iter,
> glob_hmax,
> glob_initial_pass,
> hours_in_day,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_last_rel_error,
> array_m1,
> array_x,
> array_type_pole,
> array_y2_init,
> array_y2,
> array_y1,
> array_pole,
> array_norms,
> array_y1_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_1st_rel_error,
> array_y2_set_initial,
> array_real_pole,
> array_y1_set_initial,
> array_y2_higher_work2,
> array_y2_higher_work,
> array_y2_higher,
> array_complex_pole,
> array_y1_higher_work2,
> array_y1_higher_work,
> array_y1_higher,
> array_poles,
> 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 glob_iolevel, INFO, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_max_terms,
MAX_UNCHANGED, glob_no_eqs, glob_max_trunc_err, glob_hmin_init,
glob_reached_optimal_h, glob_log10relerr, glob_relerr,
glob_not_yet_finished, glob_max_minutes, glob_max_rel_trunc_err,
glob_dump_analytic, glob_clock_sec, glob_html_log, glob_current_iter,
glob_small_float, glob_max_opt_iter, glob_optimal_expect_sec, glob_abserr,
glob_almost_1, glob_log10_abserr, glob_hmin, glob_optimal_done,
centuries_in_millinium, djd_debug2, glob_log10normmin, glob_log10abserr,
glob_curr_iter_when_opt, glob_start, glob_warned2, glob_large_float, glob_h,
glob_disp_incr, years_in_century, glob_normmax, glob_max_sec,
glob_smallish_float, glob_log10_relerr, glob_look_poles, days_in_year,
glob_dump, glob_optimal_clock_start_sec, glob_not_yet_start_msg,
glob_clock_start_sec, glob_display_flag, glob_percent_done, glob_iter,
glob_orig_start_sec, glob_warned, glob_max_hours, glob_last_good_h,
min_in_hour, sec_in_min, djd_debug, glob_unchanged_h_cnt,
glob_optimal_start, glob_max_iter, glob_hmax, glob_initial_pass,
hours_in_day, glob_subiter_method, array_const_5, array_const_1,
array_const_0D0, array_const_2D0, array_last_rel_error, array_m1, array_x,
array_type_pole, array_y2_init, array_y2, array_y1, array_pole, array_norms,
array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_1st_rel_error, array_y2_set_initial, array_real_pole,
array_y1_set_initial, array_y2_higher_work2, array_y2_higher_work,
array_y2_higher, array_complex_pole, array_y1_higher_work2,
array_y1_higher_work, array_y1_higher, array_poles, 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
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_no_eqs,
> glob_max_trunc_err,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_log10relerr,
> glob_relerr,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_max_rel_trunc_err,
> glob_dump_analytic,
> glob_clock_sec,
> glob_html_log,
> glob_current_iter,
> glob_small_float,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_abserr,
> glob_almost_1,
> glob_log10_abserr,
> glob_hmin,
> glob_optimal_done,
> centuries_in_millinium,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_curr_iter_when_opt,
> glob_start,
> glob_warned2,
> glob_large_float,
> glob_h,
> glob_disp_incr,
> years_in_century,
> glob_normmax,
> glob_max_sec,
> glob_smallish_float,
> glob_log10_relerr,
> glob_look_poles,
> days_in_year,
> glob_dump,
> glob_optimal_clock_start_sec,
> glob_not_yet_start_msg,
> glob_clock_start_sec,
> glob_display_flag,
> glob_percent_done,
> glob_iter,
> glob_orig_start_sec,
> glob_warned,
> glob_max_hours,
> glob_last_good_h,
> min_in_hour,
> sec_in_min,
> djd_debug,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_max_iter,
> glob_hmax,
> glob_initial_pass,
> hours_in_day,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_last_rel_error,
> array_m1,
> array_x,
> array_type_pole,
> array_y2_init,
> array_y2,
> array_y1,
> array_pole,
> array_norms,
> array_y1_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_1st_rel_error,
> array_y2_set_initial,
> array_real_pole,
> array_y1_set_initial,
> array_y2_higher_work2,
> array_y2_higher_work,
> array_y2_higher,
> array_complex_pole,
> array_y1_higher_work2,
> array_y1_higher_work,
> array_y1_higher,
> array_poles,
> 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 glob_iolevel, INFO, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_max_terms,
MAX_UNCHANGED, glob_no_eqs, glob_max_trunc_err, glob_hmin_init,
glob_reached_optimal_h, glob_log10relerr, glob_relerr,
glob_not_yet_finished, glob_max_minutes, glob_max_rel_trunc_err,
glob_dump_analytic, glob_clock_sec, glob_html_log, glob_current_iter,
glob_small_float, glob_max_opt_iter, glob_optimal_expect_sec, glob_abserr,
glob_almost_1, glob_log10_abserr, glob_hmin, glob_optimal_done,
centuries_in_millinium, djd_debug2, glob_log10normmin, glob_log10abserr,
glob_curr_iter_when_opt, glob_start, glob_warned2, glob_large_float, glob_h,
glob_disp_incr, years_in_century, glob_normmax, glob_max_sec,
glob_smallish_float, glob_log10_relerr, glob_look_poles, days_in_year,
glob_dump, glob_optimal_clock_start_sec, glob_not_yet_start_msg,
glob_clock_start_sec, glob_display_flag, glob_percent_done, glob_iter,
glob_orig_start_sec, glob_warned, glob_max_hours, glob_last_good_h,
min_in_hour, sec_in_min, djd_debug, glob_unchanged_h_cnt,
glob_optimal_start, glob_max_iter, glob_hmax, glob_initial_pass,
hours_in_day, glob_subiter_method, array_const_5, array_const_1,
array_const_0D0, array_const_2D0, array_last_rel_error, array_m1, array_x,
array_type_pole, array_y2_init, array_y2, array_y1, array_pole, array_norms,
array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_1st_rel_error, array_y2_set_initial, array_real_pole,
array_y1_set_initial, array_y2_higher_work2, array_y2_higher_work,
array_y2_higher, array_complex_pole, array_y1_higher_work2,
array_y1_higher_work, array_y1_higher, array_poles, 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
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_no_eqs,
> glob_max_trunc_err,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_log10relerr,
> glob_relerr,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_max_rel_trunc_err,
> glob_dump_analytic,
> glob_clock_sec,
> glob_html_log,
> glob_current_iter,
> glob_small_float,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_abserr,
> glob_almost_1,
> glob_log10_abserr,
> glob_hmin,
> glob_optimal_done,
> centuries_in_millinium,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_curr_iter_when_opt,
> glob_start,
> glob_warned2,
> glob_large_float,
> glob_h,
> glob_disp_incr,
> years_in_century,
> glob_normmax,
> glob_max_sec,
> glob_smallish_float,
> glob_log10_relerr,
> glob_look_poles,
> days_in_year,
> glob_dump,
> glob_optimal_clock_start_sec,
> glob_not_yet_start_msg,
> glob_clock_start_sec,
> glob_display_flag,
> glob_percent_done,
> glob_iter,
> glob_orig_start_sec,
> glob_warned,
> glob_max_hours,
> glob_last_good_h,
> min_in_hour,
> sec_in_min,
> djd_debug,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_max_iter,
> glob_hmax,
> glob_initial_pass,
> hours_in_day,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_last_rel_error,
> array_m1,
> array_x,
> array_type_pole,
> array_y2_init,
> array_y2,
> array_y1,
> array_pole,
> array_norms,
> array_y1_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_1st_rel_error,
> array_y2_set_initial,
> array_real_pole,
> array_y1_set_initial,
> array_y2_higher_work2,
> array_y2_higher_work,
> array_y2_higher,
> array_complex_pole,
> array_y1_higher_work2,
> array_y1_higher_work,
> array_y1_higher,
> array_poles,
> 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 glob_iolevel, INFO, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_max_terms,
MAX_UNCHANGED, glob_no_eqs, glob_max_trunc_err, glob_hmin_init,
glob_reached_optimal_h, glob_log10relerr, glob_relerr,
glob_not_yet_finished, glob_max_minutes, glob_max_rel_trunc_err,
glob_dump_analytic, glob_clock_sec, glob_html_log, glob_current_iter,
glob_small_float, glob_max_opt_iter, glob_optimal_expect_sec, glob_abserr,
glob_almost_1, glob_log10_abserr, glob_hmin, glob_optimal_done,
centuries_in_millinium, djd_debug2, glob_log10normmin, glob_log10abserr,
glob_curr_iter_when_opt, glob_start, glob_warned2, glob_large_float, glob_h,
glob_disp_incr, years_in_century, glob_normmax, glob_max_sec,
glob_smallish_float, glob_log10_relerr, glob_look_poles, days_in_year,
glob_dump, glob_optimal_clock_start_sec, glob_not_yet_start_msg,
glob_clock_start_sec, glob_display_flag, glob_percent_done, glob_iter,
glob_orig_start_sec, glob_warned, glob_max_hours, glob_last_good_h,
min_in_hour, sec_in_min, djd_debug, glob_unchanged_h_cnt,
glob_optimal_start, glob_max_iter, glob_hmax, glob_initial_pass,
hours_in_day, glob_subiter_method, array_const_5, array_const_1,
array_const_0D0, array_const_2D0, array_last_rel_error, array_m1, array_x,
array_type_pole, array_y2_init, array_y2, array_y1, array_pole, array_norms,
array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_1st_rel_error, array_y2_set_initial, array_real_pole,
array_y1_set_initial, array_y2_higher_work2, array_y2_higher_work,
array_y2_higher, array_complex_pole, array_y1_higher_work2,
array_y1_higher_work, array_y1_higher, array_poles, 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
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_no_eqs,
> glob_max_trunc_err,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_log10relerr,
> glob_relerr,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_max_rel_trunc_err,
> glob_dump_analytic,
> glob_clock_sec,
> glob_html_log,
> glob_current_iter,
> glob_small_float,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_abserr,
> glob_almost_1,
> glob_log10_abserr,
> glob_hmin,
> glob_optimal_done,
> centuries_in_millinium,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_curr_iter_when_opt,
> glob_start,
> glob_warned2,
> glob_large_float,
> glob_h,
> glob_disp_incr,
> years_in_century,
> glob_normmax,
> glob_max_sec,
> glob_smallish_float,
> glob_log10_relerr,
> glob_look_poles,
> days_in_year,
> glob_dump,
> glob_optimal_clock_start_sec,
> glob_not_yet_start_msg,
> glob_clock_start_sec,
> glob_display_flag,
> glob_percent_done,
> glob_iter,
> glob_orig_start_sec,
> glob_warned,
> glob_max_hours,
> glob_last_good_h,
> min_in_hour,
> sec_in_min,
> djd_debug,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_max_iter,
> glob_hmax,
> glob_initial_pass,
> hours_in_day,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_last_rel_error,
> array_m1,
> array_x,
> array_type_pole,
> array_y2_init,
> array_y2,
> array_y1,
> array_pole,
> array_norms,
> array_y1_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_1st_rel_error,
> array_y2_set_initial,
> array_real_pole,
> array_y1_set_initial,
> array_y2_higher_work2,
> array_y2_higher_work,
> array_y2_higher,
> array_complex_pole,
> array_y1_higher_work2,
> array_y1_higher_work,
> array_y1_higher,
> array_poles,
> 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 glob_iolevel, INFO, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_max_terms,
MAX_UNCHANGED, glob_no_eqs, glob_max_trunc_err, glob_hmin_init,
glob_reached_optimal_h, glob_log10relerr, glob_relerr,
glob_not_yet_finished, glob_max_minutes, glob_max_rel_trunc_err,
glob_dump_analytic, glob_clock_sec, glob_html_log, glob_current_iter,
glob_small_float, glob_max_opt_iter, glob_optimal_expect_sec, glob_abserr,
glob_almost_1, glob_log10_abserr, glob_hmin, glob_optimal_done,
centuries_in_millinium, djd_debug2, glob_log10normmin, glob_log10abserr,
glob_curr_iter_when_opt, glob_start, glob_warned2, glob_large_float, glob_h,
glob_disp_incr, years_in_century, glob_normmax, glob_max_sec,
glob_smallish_float, glob_log10_relerr, glob_look_poles, days_in_year,
glob_dump, glob_optimal_clock_start_sec, glob_not_yet_start_msg,
glob_clock_start_sec, glob_display_flag, glob_percent_done, glob_iter,
glob_orig_start_sec, glob_warned, glob_max_hours, glob_last_good_h,
min_in_hour, sec_in_min, djd_debug, glob_unchanged_h_cnt,
glob_optimal_start, glob_max_iter, glob_hmax, glob_initial_pass,
hours_in_day, glob_subiter_method, array_const_5, array_const_1,
array_const_0D0, array_const_2D0, array_last_rel_error, array_m1, array_x,
array_type_pole, array_y2_init, array_y2, array_y1, array_pole, array_norms,
array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_1st_rel_error, array_y2_set_initial, array_real_pole,
array_y1_set_initial, array_y2_higher_work2, array_y2_higher_work,
array_y2_higher, array_complex_pole, array_y1_higher_work2,
array_y1_higher_work, array_y1_higher, array_poles, 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
> glob_iolevel,
> INFO,
> DEBUGMASSIVE,
> DEBUGL,
> ALWAYS,
> glob_max_terms,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_no_eqs,
> glob_max_trunc_err,
> glob_hmin_init,
> glob_reached_optimal_h,
> glob_log10relerr,
> glob_relerr,
> glob_not_yet_finished,
> glob_max_minutes,
> glob_max_rel_trunc_err,
> glob_dump_analytic,
> glob_clock_sec,
> glob_html_log,
> glob_current_iter,
> glob_small_float,
> glob_max_opt_iter,
> glob_optimal_expect_sec,
> glob_abserr,
> glob_almost_1,
> glob_log10_abserr,
> glob_hmin,
> glob_optimal_done,
> centuries_in_millinium,
> djd_debug2,
> glob_log10normmin,
> glob_log10abserr,
> glob_curr_iter_when_opt,
> glob_start,
> glob_warned2,
> glob_large_float,
> glob_h,
> glob_disp_incr,
> years_in_century,
> glob_normmax,
> glob_max_sec,
> glob_smallish_float,
> glob_log10_relerr,
> glob_look_poles,
> days_in_year,
> glob_dump,
> glob_optimal_clock_start_sec,
> glob_not_yet_start_msg,
> glob_clock_start_sec,
> glob_display_flag,
> glob_percent_done,
> glob_iter,
> glob_orig_start_sec,
> glob_warned,
> glob_max_hours,
> glob_last_good_h,
> min_in_hour,
> sec_in_min,
> djd_debug,
> glob_unchanged_h_cnt,
> glob_optimal_start,
> glob_max_iter,
> glob_hmax,
> glob_initial_pass,
> hours_in_day,
> glob_subiter_method,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_5,
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> #END CONST
> array_last_rel_error,
> array_m1,
> array_x,
> array_type_pole,
> array_y2_init,
> array_y2,
> array_y1,
> array_pole,
> array_norms,
> array_y1_init,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_1st_rel_error,
> array_y2_set_initial,
> array_real_pole,
> array_y1_set_initial,
> array_y2_higher_work2,
> array_y2_higher_work,
> array_y2_higher,
> array_complex_pole,
> array_y1_higher_work2,
> array_y1_higher_work,
> array_y1_higher,
> array_poles,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_iolevel := 5;
> INFO := 2;
> DEBUGMASSIVE := 4;
> DEBUGL := 3;
> ALWAYS := 1;
> glob_max_terms := 30;
> MAX_UNCHANGED := 10;
> glob_no_eqs := 0;
> glob_max_trunc_err := 0.1e-10;
> glob_hmin_init := 0.001;
> glob_reached_optimal_h := false;
> glob_log10relerr := 0.0;
> glob_relerr := 0.1e-10;
> glob_not_yet_finished := true;
> glob_max_minutes := 0.0;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_dump_analytic := false;
> glob_clock_sec := 0.0;
> glob_html_log := true;
> glob_current_iter := 0;
> glob_small_float := 0.1e-50;
> glob_max_opt_iter := 10;
> glob_optimal_expect_sec := 0.1;
> glob_abserr := 0.1e-10;
> glob_almost_1 := 0.9990;
> glob_log10_abserr := 0.1e-10;
> glob_hmin := 0.00000000001;
> glob_optimal_done := false;
> centuries_in_millinium := 10.0;
> djd_debug2 := true;
> glob_log10normmin := 0.1;
> glob_log10abserr := 0.0;
> glob_curr_iter_when_opt := 0;
> glob_start := 0;
> glob_warned2 := false;
> glob_large_float := 9.0e100;
> glob_h := 0.1;
> glob_disp_incr := 0.1;
> years_in_century := 100.0;
> glob_normmax := 0.0;
> glob_max_sec := 10000.0;
> glob_smallish_float := 0.1e-100;
> glob_log10_relerr := 0.1e-10;
> glob_look_poles := false;
> days_in_year := 365.0;
> glob_dump := false;
> glob_optimal_clock_start_sec := 0.0;
> glob_not_yet_start_msg := true;
> glob_clock_start_sec := 0.0;
> glob_display_flag := true;
> glob_percent_done := 0.0;
> glob_iter := 0;
> glob_orig_start_sec := 0.0;
> glob_warned := false;
> glob_max_hours := 0.0;
> glob_last_good_h := 0.1;
> min_in_hour := 60.0;
> sec_in_min := 60.0;
> djd_debug := true;
> glob_unchanged_h_cnt := 0;
> glob_optimal_start := 0.0;
> glob_max_iter := 1000;
> glob_hmax := 1.0;
> glob_initial_pass := true;
> hours_in_day := 24.0;
> glob_subiter_method := 3;
> #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 := 0.001 ;");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000;");
> omniout_str(ALWAYS,"glob_max_minutes := 15;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y1 := proc(x)");
> omniout_str(ALWAYS,"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_last_rel_error:= Array(1..(max_terms + 1),[]);
> array_m1:= Array(1..(max_terms + 1),[]);
> array_x:= Array(1..(max_terms + 1),[]);
> array_type_pole:= Array(1..(max_terms + 1),[]);
> array_y2_init:= Array(1..(max_terms + 1),[]);
> array_y2:= Array(1..(max_terms + 1),[]);
> array_y1:= Array(1..(max_terms + 1),[]);
> array_pole:= Array(1..(max_terms + 1),[]);
> array_norms:= Array(1..(max_terms + 1),[]);
> array_y1_init:= Array(1..(max_terms + 1),[]);
> array_tmp0:= Array(1..(max_terms + 1),[]);
> array_tmp1:= Array(1..(max_terms + 1),[]);
> array_tmp2:= Array(1..(max_terms + 1),[]);
> array_tmp3:= Array(1..(max_terms + 1),[]);
> array_tmp4:= Array(1..(max_terms + 1),[]);
> array_1st_rel_error:= 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_y1_set_initial := Array(1..(3+ 1) ,(1..max_terms+ 1),[]);
> array_y2_higher_work2 := Array(1..(6+ 1) ,(1..max_terms+ 1),[]);
> array_y2_higher_work := Array(1..(6+ 1) ,(1..max_terms+ 1),[]);
> array_y2_higher := Array(1..(6+ 1) ,(1..max_terms+ 1),[]);
> array_complex_pole := Array(1..(2+ 1) ,(1..3+ 1),[]);
> array_y1_higher_work2 := Array(1..(2+ 1) ,(1..max_terms+ 1),[]);
> array_y1_higher_work := Array(1..(2+ 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),[]);
> 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_m1[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_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_y2_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_y2[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_y1[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_y1_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2
> ;
> term := 1;
> while term <= max_terms do # do number 2
> array_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_1st_rel_error[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 <=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 <=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 <=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 <=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 <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y1_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3
> ;
> ord := ord + 1;
> od;# end do number 2
> ;
> ord := 1;
> while ord <=2 do # do number 2
> term := 1;
> while term <= max_terms do # do number 3
> array_y1_higher_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
> ;
> #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_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_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_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_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_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_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 := 0.001 ;
> glob_look_poles := true;
> glob_max_iter := 1000;
> glob_max_minutes := 15;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := 10.0 ^ (glob_log10_abserr);
> glob_relerr := 10.0 ^ (glob_log10_relerr);
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y2_set_initial[1,1] := true;
> array_y2_set_initial[1,2] := true;
> array_y2_set_initial[1,3] := true;
> array_y2_set_initial[1,4] := true;
> array_y2_set_initial[1,5] := true;
> array_y2_set_initial[1,6] := false;
> array_y2_set_initial[1,7] := false;
> array_y2_set_initial[1,8] := false;
> array_y2_set_initial[1,9] := false;
> array_y2_set_initial[1,10] := false;
> array_y2_set_initial[1,11] := false;
> array_y2_set_initial[1,12] := false;
> array_y2_set_initial[1,13] := false;
> array_y2_set_initial[1,14] := false;
> array_y2_set_initial[1,15] := false;
> array_y2_set_initial[1,16] := false;
> array_y2_set_initial[1,17] := false;
> array_y2_set_initial[1,18] := false;
> array_y2_set_initial[1,19] := false;
> array_y2_set_initial[1,20] := false;
> array_y2_set_initial[1,21] := false;
> array_y2_set_initial[1,22] := false;
> array_y2_set_initial[1,23] := false;
> array_y2_set_initial[1,24] := false;
> array_y2_set_initial[1,25] := false;
> array_y2_set_initial[1,26] := false;
> array_y2_set_initial[1,27] := false;
> array_y2_set_initial[1,28] := false;
> array_y2_set_initial[1,29] := false;
> array_y2_set_initial[1,30] := false;
> array_y1_set_initial[2,1] := true;
> array_y1_set_initial[2,2] := false;
> array_y1_set_initial[2,3] := false;
> array_y1_set_initial[2,4] := false;
> array_y1_set_initial[2,5] := false;
> array_y1_set_initial[2,6] := false;
> array_y1_set_initial[2,7] := false;
> array_y1_set_initial[2,8] := false;
> array_y1_set_initial[2,9] := false;
> array_y1_set_initial[2,10] := false;
> array_y1_set_initial[2,11] := false;
> array_y1_set_initial[2,12] := false;
> array_y1_set_initial[2,13] := false;
> array_y1_set_initial[2,14] := false;
> array_y1_set_initial[2,15] := false;
> array_y1_set_initial[2,16] := false;
> array_y1_set_initial[2,17] := false;
> array_y1_set_initial[2,18] := false;
> array_y1_set_initial[2,19] := false;
> array_y1_set_initial[2,20] := false;
> array_y1_set_initial[2,21] := false;
> array_y1_set_initial[2,22] := false;
> array_y1_set_initial[2,23] := false;
> array_y1_set_initial[2,24] := false;
> array_y1_set_initial[2,25] := false;
> array_y1_set_initial[2,26] := false;
> array_y1_set_initial[2,27] := false;
> array_y1_set_initial[2,28] := false;
> array_y1_set_initial[2,29] := false;
> array_y1_set_initial[2,30] := false;
> if glob_html_log then # if number 3
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 3
> ;
> #BEGIN SOLUTION CODE
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> order_diff := 5;
> #Start Series array_y2
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y2[term_no] := array_y2_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2
> ;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y2_higher[r_order,term_no] := array_y2_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3
> ;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> order_diff := 1;
> #Start Series array_y1
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y1[term_no] := array_y1_init[term_no] * glob_h ^ (term_no - 1) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2
> ;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y1_higher[r_order,term_no] := array_y1_init[it]* (glob_h ^ (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3
> ;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> start_array_y2();
> if (abs(array_y2_higher[1,1]) > glob_small_float) then # if number 3
> tmp := abs(array_y2_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3
> ;
> display_alot(current_iter)
> ;
> start_array_y1();
> if (abs(array_y1_higher[1,1]) > glob_small_float) then # if number 3
> tmp := abs(array_y1_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3
> ;
> display_alot(current_iter)
> ;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and (array_x[1] <= x_end ) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> if glob_subiter_method = 1 then # if number 3
> atomall();
> elif glob_subiter_method = 2 then # if number 4
> subiter := 1;
> while subiter <= 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,"2012-06-15T23:42:31-05:00")
> ;
> 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 glob_iolevel, INFO, DEBUGMASSIVE, DEBUGL, ALWAYS, glob_max_terms,
MAX_UNCHANGED, glob_no_eqs, glob_max_trunc_err, glob_hmin_init,
glob_reached_optimal_h, glob_log10relerr, glob_relerr,
glob_not_yet_finished, glob_max_minutes, glob_max_rel_trunc_err,
glob_dump_analytic, glob_clock_sec, glob_html_log, glob_current_iter,
glob_small_float, glob_max_opt_iter, glob_optimal_expect_sec, glob_abserr,
glob_almost_1, glob_log10_abserr, glob_hmin, glob_optimal_done,
centuries_in_millinium, djd_debug2, glob_log10normmin, glob_log10abserr,
glob_curr_iter_when_opt, glob_start, glob_warned2, glob_large_float, glob_h,
glob_disp_incr, years_in_century, glob_normmax, glob_max_sec,
glob_smallish_float, glob_log10_relerr, glob_look_poles, days_in_year,
glob_dump, glob_optimal_clock_start_sec, glob_not_yet_start_msg,
glob_clock_start_sec, glob_display_flag, glob_percent_done, glob_iter,
glob_orig_start_sec, glob_warned, glob_max_hours, glob_last_good_h,
min_in_hour, sec_in_min, djd_debug, glob_unchanged_h_cnt,
glob_optimal_start, glob_max_iter, glob_hmax, glob_initial_pass,
hours_in_day, glob_subiter_method, array_const_5, array_const_1,
array_const_0D0, array_const_2D0, array_last_rel_error, array_m1, array_x,
array_type_pole, array_y2_init, array_y2, array_y1, array_pole, array_norms,
array_y1_init, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4,
array_1st_rel_error, array_y2_set_initial, array_real_pole,
array_y1_set_initial, array_y2_higher_work2, array_y2_higher_work,
array_y2_higher, array_complex_pole, array_y1_higher_work2,
array_y1_higher_work, array_y1_higher, array_poles, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_iolevel := 5;
INFO := 2;
DEBUGMASSIVE := 4;
DEBUGL := 3;
ALWAYS := 1;
glob_max_terms := 30;
MAX_UNCHANGED := 10;
glob_no_eqs := 0;
glob_max_trunc_err := 0.1*10^(-10);
glob_hmin_init := 0.001;
glob_reached_optimal_h := false;
glob_log10relerr := 0.;
glob_relerr := 0.1*10^(-10);
glob_not_yet_finished := true;
glob_max_minutes := 0.;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_dump_analytic := false;
glob_clock_sec := 0.;
glob_html_log := true;
glob_current_iter := 0;
glob_small_float := 0.1*10^(-50);
glob_max_opt_iter := 10;
glob_optimal_expect_sec := 0.1;
glob_abserr := 0.1*10^(-10);
glob_almost_1 := 0.9990;
glob_log10_abserr := 0.1*10^(-10);
glob_hmin := 0.1*10^(-10);
glob_optimal_done := false;
centuries_in_millinium := 10.0;
djd_debug2 := true;
glob_log10normmin := 0.1;
glob_log10abserr := 0.;
glob_curr_iter_when_opt := 0;
glob_start := 0;
glob_warned2 := false;
glob_large_float := 0.90*10^101;
glob_h := 0.1;
glob_disp_incr := 0.1;
years_in_century := 100.0;
glob_normmax := 0.;
glob_max_sec := 10000.0;
glob_smallish_float := 0.1*10^(-100);
glob_log10_relerr := 0.1*10^(-10);
glob_look_poles := false;
days_in_year := 365.0;
glob_dump := false;
glob_optimal_clock_start_sec := 0.;
glob_not_yet_start_msg := true;
glob_clock_start_sec := 0.;
glob_display_flag := true;
glob_percent_done := 0.;
glob_iter := 0;
glob_orig_start_sec := 0.;
glob_warned := false;
glob_max_hours := 0.;
glob_last_good_h := 0.1;
min_in_hour := 60.0;
sec_in_min := 60.0;
djd_debug := true;
glob_unchanged_h_cnt := 0;
glob_optimal_start := 0.;
glob_max_iter := 1000;
glob_hmax := 1.0;
glob_initial_pass := true;
hours_in_day := 24.0;
glob_subiter_method := 3;
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 := 0.001 ;");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000;");
omniout_str(ALWAYS, "glob_max_minutes := 15;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y1 := proc(x)");
omniout_str(ALWAYS, "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_last_rel_error := Array(1 .. max_terms + 1, []);
array_m1 := Array(1 .. max_terms + 1, []);
array_x := Array(1 .. max_terms + 1, []);
array_type_pole := Array(1 .. max_terms + 1, []);
array_y2_init := Array(1 .. max_terms + 1, []);
array_y2 := Array(1 .. max_terms + 1, []);
array_y1 := Array(1 .. max_terms + 1, []);
array_pole := Array(1 .. max_terms + 1, []);
array_norms := Array(1 .. max_terms + 1, []);
array_y1_init := Array(1 .. max_terms + 1, []);
array_tmp0 := Array(1 .. max_terms + 1, []);
array_tmp1 := Array(1 .. max_terms + 1, []);
array_tmp2 := Array(1 .. max_terms + 1, []);
array_tmp3 := Array(1 .. max_terms + 1, []);
array_tmp4 := Array(1 .. max_terms + 1, []);
array_1st_rel_error := 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_y1_set_initial := Array(1 .. 4, 1 .. max_terms + 1, []);
array_y2_higher_work2 := Array(1 .. 7, 1 .. max_terms + 1, []);
array_y2_higher_work := Array(1 .. 7, 1 .. max_terms + 1, []);
array_y2_higher := Array(1 .. 7, 1 .. max_terms + 1, []);
array_complex_pole := Array(1 .. 3, 1 .. 4, []);
array_y1_higher_work2 := Array(1 .. 3, 1 .. max_terms + 1, []);
array_y1_higher_work := Array(1 .. 3, 1 .. max_terms + 1, []);
array_y1_higher := Array(1 .. 3, 1 .. max_terms + 1, []);
array_poles := Array(1 .. 3, 1 .. 4, []);
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_m1[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_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y2_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y1_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_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_1st_rel_error[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 <= 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 <= 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 <= 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 <= 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 <= 2 do
term := 1;
while term <= max_terms do
array_y1_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y1_higher_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;
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_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_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_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_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_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_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 := 0.001;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := 10.0^glob_log10_abserr;
glob_relerr := 10.0^glob_log10_relerr;
chk_data();
array_y2_set_initial[1, 1] := true;
array_y2_set_initial[1, 2] := true;
array_y2_set_initial[1, 3] := true;
array_y2_set_initial[1, 4] := true;
array_y2_set_initial[1, 5] := true;
array_y2_set_initial[1, 6] := false;
array_y2_set_initial[1, 7] := false;
array_y2_set_initial[1, 8] := false;
array_y2_set_initial[1, 9] := false;
array_y2_set_initial[1, 10] := false;
array_y2_set_initial[1, 11] := false;
array_y2_set_initial[1, 12] := false;
array_y2_set_initial[1, 13] := false;
array_y2_set_initial[1, 14] := false;
array_y2_set_initial[1, 15] := false;
array_y2_set_initial[1, 16] := false;
array_y2_set_initial[1, 17] := false;
array_y2_set_initial[1, 18] := false;
array_y2_set_initial[1, 19] := false;
array_y2_set_initial[1, 20] := false;
array_y2_set_initial[1, 21] := false;
array_y2_set_initial[1, 22] := false;
array_y2_set_initial[1, 23] := false;
array_y2_set_initial[1, 24] := false;
array_y2_set_initial[1, 25] := false;
array_y2_set_initial[1, 26] := false;
array_y2_set_initial[1, 27] := false;
array_y2_set_initial[1, 28] := false;
array_y2_set_initial[1, 29] := false;
array_y2_set_initial[1, 30] := false;
array_y1_set_initial[2, 1] := true;
array_y1_set_initial[2, 2] := false;
array_y1_set_initial[2, 3] := false;
array_y1_set_initial[2, 4] := false;
array_y1_set_initial[2, 5] := false;
array_y1_set_initial[2, 6] := false;
array_y1_set_initial[2, 7] := false;
array_y1_set_initial[2, 8] := false;
array_y1_set_initial[2, 9] := false;
array_y1_set_initial[2, 10] := false;
array_y1_set_initial[2, 11] := false;
array_y1_set_initial[2, 12] := false;
array_y1_set_initial[2, 13] := false;
array_y1_set_initial[2, 14] := false;
array_y1_set_initial[2, 15] := false;
array_y1_set_initial[2, 16] := false;
array_y1_set_initial[2, 17] := false;
array_y1_set_initial[2, 18] := false;
array_y1_set_initial[2, 19] := false;
array_y1_set_initial[2, 20] := false;
array_y1_set_initial[2, 21] := false;
array_y1_set_initial[2, 22] := false;
array_y1_set_initial[2, 23] := false;
array_y1_set_initial[2, 24] := false;
array_y1_set_initial[2, 25] := false;
array_y1_set_initial[2, 26] := false;
array_y1_set_initial[2, 27] := false;
array_y1_set_initial[2, 28] := false;
array_y1_set_initial[2, 29] := false;
array_y1_set_initial[2, 30] := false;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
order_diff := 5;
term_no := 1;
while term_no <= order_diff do
array_y2[term_no] := array_y2_init[term_no]*glob_h^(term_no - 1)/
factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y2_higher[r_order, term_no] := array_y2_init[it]*
glob_h^(term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y1[term_no] := array_y1_init[term_no]*glob_h^(term_no - 1)/
factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y1_higher[r_order, term_no] := array_y1_init[it]*
glob_h^(term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
start_array_y2();
if glob_small_float < abs(array_y2_higher[1, 1]) then
tmp := abs(array_y2_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
start_array_y1();
if glob_small_float < abs(array_y1_higher[1, 1]) then
tmp := abs(array_y1_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
display_alot(current_iter);
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and array_x[1] <= x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop");
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
if glob_subiter_method = 1 then atomall()
elif glob_subiter_method = 2 then
subiter := 1;
while subiter <= 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, "2012-06-15T23:42:31-05:00");
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 := 0.001 ;
glob_look_poles := true;
glob_max_iter := 1000;
glob_max_minutes := 15;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y1 := proc(x)
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 = 0.001
y1[1] (analytic) = 2.4794255386042030002732879352156
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0
relative error = 0 %
h = 0.001
x[1] = 0.5
y2[1] (analytic) = 1.1224174381096272838837184173962
y2[1] (numeric) = 1.1224174381096272838837184173962
absolute error = 0
relative error = 0 %
h = 0.001
y1[1] (analytic) = 2.4794255386042030002732879352156
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0
relative error = 0 %
h = 0.001
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 = 0.001
y1[1] (analytic) = 2.4803028813070802939494724420977
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0008773427028772936761845068821
relative error = 0.035372401874360924089566086208289 %
h = 0.001
TOP MAIN SOLVE Loop
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 = 0.001
y1[1] (analytic) = 2.4811797437071163057841377482187
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0017542051029133055108498130031
relative error = 0.070700444309300938093178385518425 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.9MB, time=0.44
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 = 0.001
y1[1] (analytic) = 2.4820561249274487088131362528522
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0026305863232457085398483176366
relative error = 0.10598415953719021627869493626097 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.504
y2[1] (analytic) = 1.1243421558013100225170503558855
y2[1] (numeric) = 1.1243421558013059264282111875027
absolute error = 4.0960888391683828e-15
relative error = 3.6430981601407017699748432374480e-13 %
h = 0.001
y1[1] (analytic) = 2.4829320240916963557358308536409
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0035064854874933554625429184253
relative error = 0.14122357976256294749295818319025 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.505
y2[1] (analytic) = 1.1248255255737986658179668865485
y2[1] (numeric) = 1.124825525573786161740578682083
absolute error = 1.25040773882044655e-14
relative error = 1.1116459489862533014706793539627e-12 %
h = 0.001
y1[1] (analytic) = 2.4838074403239601552961692154743
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0043819017197571550228812802587
relative error = 0.17641873716207358683165415092659 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.506
y2[1] (analytic) = 1.1253097705206888041164464559634
y2[1] (numeric) = 1.1253097705206576805008601015673
absolute error = 3.11236155863543961e-14
relative error = 2.7657820452365999314295612731972e-12 %
h = 0.001
y1[1] (analytic) = 2.4846823727488239481817020349524
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0052568341446209479084140997368
relative error = 0.2115696638844533806737925932691 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=3.9MB, time=0.98
NO POLE
NO POLE
x[1] = 0.507
y2[1] (analytic) = 1.1257948901577355308760949947039
y2[1] (numeric) = 1.1257948901576682400144553957437
absolute error = 6.72908616395989602e-14
relative error = 5.9771866285670219323854670962975e-12 %
h = 0.001
y1[1] (analytic) = 2.4855568204913553824396694014904
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0061312818871523821663814662748
relative error = 0.24667639205046716400687694163286 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.508
y2[1] (analytic) = 1.1262808839998192494768208161278
y2[1] (numeric) = 1.1262808839996880150248741416841
absolute error = 1.312344519466744437e-13
relative error = 1.1652018054378653982694624370328e-11 %
h = 0.001
y1[1] (analytic) = 2.4864307826771067884092798390526
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.007005244072903788135991903837
relative error = 0.28173895375287042897210788637658 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.509
y2[1] (analytic) = 1.126767751560946158334390809836
y2[1] (numeric) = 1.1267677515607095977137355437444
absolute error = 2.365606206552660916e-13
relative error = 2.0994621147752175134343597888834e-11 %
h = 0.001
y1[1] (analytic) = 2.4873042584321160531693070963062
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0078787198279130528960191610906
relative error = 0.31675738105636666356223183993781 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.51
y2[1] (analytic) = 1.1272554923542487368941915264245
y2[1] (numeric) = 1.1272554923538479977007684335643
absolute error = 4.007391934230928602e-13
relative error = 3.5549988103065944200239348593181e-11 %
h = 0.001
y1[1] (analytic) = 2.4881772468829074945001302376746
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.008751708278704494226842302459
relative error = 0.35173170599756495940790535457244 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=11.4MB, alloc=3.9MB, time=1.49
x[1] = 0.511
y2[1] (analytic) = 1.1277441058919862324987091598053
y2[1] (numeric) = 1.1277441058913406420438112700674
absolute error = 6.455904548978897379e-13
relative error = 5.7246183023697709038133538255325e-11 %
h = 0.001
y1[1] (analytic) = 2.4890497471564927343593430733201
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0096242085522897340860551381045
relative error = 0.38666196058493788759169880261458 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.512
y2[1] (analytic) = 1.1282335916855451481282415596589
y2[1] (numeric) = 1.1282335916845473752388121394612
absolute error = 9.977728894294201977e-13
relative error = 8.8436729484253273713900937808655e-11 %
h = 0.001
y1[1] (analytic) = 2.4899217583803715718700594525215
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0104962197761685715967715173059
relative error = 0.42154817679877964143210727811901 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.513
y2[1] (analytic) = 1.1287239492454397310143545333464
y2[1] (numeric) = 1.1287239492439504592198287552371
absolute error = 1.4892717945257781093e-12
relative error = 1.3194296050166803556963687023898e-10 %
h = 0.001
y1[1] (analytic) = 2.4907932796825328558210414322121
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0113677410783298555477534969965
relative error = 0.45639038659116444518317374841848 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.514
y2[1] (analytic) = 1.1292151780813124621255938238659
y2[1] (numeric) = 1.1292151780791545733590284581703
absolute error = 2.1578887665653656956e-12
relative error = 1.9109633030543453821668290298872e-10 %
h = 0.001
y1[1] (analytic) = 2.4916643101914553566777778206244
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0122387715872523564044898854088
relative error = 0.4911886218859052275985589770279 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.515
y2[1] (analytic) = 1.1297072777019345465249632781811
y2[1] (numeric) = 1.12970727769888681446668821632
absolute error = 3.0477320582750618611e-12
relative error = 2.6978068730112092719404051664209e-10 %
h = 0.001
y1[1] (analytic) = 2.4925348490361086381036410850348
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0131093104319056378303531498192
relative error = 0.5259429145785125593121146588246 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=3.9MB, time=2.01
NO POLE
NO POLE
x[1] = 0.516
y2[1] (analytic) = 1.1302002476152064045986788484863
y2[1] (numeric) = 1.1302002476109966967911946250292
absolute error = 4.2097078074842234571e-12
relative error = 3.7247450762526124546953832005182e-10 %
h = 0.001
y1[1] (analytic) = 2.4934048953459539279902511025232
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0139793567417509277169631673076
relative error = 0.5606532965361538529902305589296 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.517
y2[1] (analytic) = 1.1306940873281581641557071976931
y2[1] (numeric) = 1.1306940873224561520190439069248
absolute error = 5.7020121366632907683e-12
relative error = 5.0429308869361866809505202241791e-10 %
h = 0.001
y1[1] (analytic) = 2.4942744482509449889961747234587
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0148489096467419887228867882431
relative error = 0.59531979959761282521443323237872 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.518
y2[1] (analytic) = 1.1311887963469501533975968096429
y2[1] (numeric) = 1.1311887963393595292748419119177
absolute error = 7.5906241227548977252e-12
relative error = 6.7103070214874685469833382583942e-10 %
h = 0.001
y1[1] (analytic) = 2.4951435068815289885930906090811
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0157179682773259883198026738655
relative error = 0.62994245557324921905591312628167 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.519
y2[1] (analytic) = 1.1316843741768733947581086342535
y2[1] (numeric) = 1.1316843741669235951213041172024
absolute error = 9.9497996368045170511e-12
relative error = 8.7920270561670239858508448512629e-10 %
h = 0.001
y1[1] (analytic) = 2.4960120703686473686185492970897
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0165865317644443683452613618741
relative error = 0.6645212962449587863068485349416 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=3.9MB, time=2.53
NO POLE
NO POLE
x[1] = 0.52
y2[1] (analytic) = 1.1321808203223500996121524280115
y2[1] (numeric) = 1.1321808203094875335592556272576
absolute error = 1.28625660528968007539e-11
relative error = 1.1360876126866926788887946083009e-09 %
h = 0.001
y1[1] (analytic) = 2.4968801378437367143344589425478
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0174545992395337140611710073322
relative error = 0.69905635336613352833657899470403 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.521
y2[1] (analytic) = 1.1326781342869341638535340809147
y2[1] (numeric) = 1.1326781342705129460276311738457
absolute error = 1.64212178259029070690e-11
relative error = 1.4497691205313780838993891625955e-09 %
h = 0.001
y1[1] (analytic) = 2.4977477084387296229904276756926
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.018322169834526622717139740477
relative error = 0.73354765866162219454385727487693 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.522
y2[1] (analytic) = 1.1331763155733116643410183521593
y2[1] (numeric) = 1.133176315552583851403475116013
absolute error = 2.07278129375432361463e-11
relative error = 1.8291780945894853766377648320273e-09 %
h = 0.001
y1[1] (analytic) = 2.4986147812860555718910940133795
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0191892426818525716178060781639
relative error = 0.76799524382769103737957814754559 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.523
y2[1] (analytic) = 1.133675363683301356212210568549
y2[1] (numeric) = 1.1336753636574066860019414400897
absolute error = 2.58946702102691284593e-11
relative error = 2.2841345097363297270984737912638e-09 %
h = 0.001
y1[1] (analytic) = 2.4994813555186417859665772569024
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0200558169144387856932893216868
relative error = 0.80239914053198482291754360789496 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=22.8MB, alloc=3.9MB, time=3.06
NO POLE
NO POLE
x[1] = 0.524
y2[1] (analytic) = 1.134175278117855171064759971788
y2[1] (numeric) = 1.13417527808581030357629375969
absolute error = 3.20448674884662120980e-11
relative error = 2.8253893473717864488146139728092e-09 %
h = 0.001
y1[1] (analytic) = 2.5003474302699141048451803058119
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0209218916657111045718923705963
relative error = 0.83675938041348809595397817241225 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.525
y2[1] (analytic) = 1.1346760583770587160043865334936
y2[1] (numeric) = 1.1346760583377459753179053157118
absolute error = 3.93127406864812177818e-11
relative error = 3.4646664478591995601679747345454e-09 %
h = 0.001
y1[1] (analytic) = 2.5012130046737978494274778151016
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.021787466069594849154189879886
relative error = 0.87107599508248669861965431007077 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.526
y2[1] (analytic) = 1.135177703960131773559232189945
y2[1] (numeric) = 1.1351777039122873898562589763369
absolute error = 4.78443837029732136081e-11
relative error = 4.2147043177526627557257281746367e-09 %
h = 0.001
y1[1] (analytic) = 2.5020780778647186879609231217462
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0226525392605156876876351865306
relative error = 0.90534901612052954149162696626603 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.527
y2[1] (analytic) = 1.1356802143654288024600365822581
y2[1] (numeric) = 1.1356802143076306532589472370312
absolute error = 5.77981492010893452269e-11
relative error = 5.0892978912540590312042186574573e-09 %
h = 0.001
y1[1] (analytic) = 2.5029426489776035016141078660558
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0235171103734005013408199308402
relative error = 0.9395784750803906261947075261474 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.0MB, time=3.58
NO POLE
NO POLE
x[1] = 0.528
y2[1] (analytic) = 1.1361835890904394392856365218521
y2[1] (numeric) = 1.1361835890210942890316722205442
absolute error = 6.93451502539643013079e-11
relative error = 6.1033402453451978712143861671488e-09 %
h = 0.001
y1[1] (analytic) = 2.5038067171478812495498087336605
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0243811785436782492765207984449
relative error = 0.97376440348603131848593143841097 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.529
y2[1] (analytic) = 1.1366878276317890009732875357502
y2[1] (numeric) = 1.1366878275491192381182456769095
absolute error = 8.26697628550418588407e-11
relative error = 7.2728642680443433955661990116202e-09 %
h = 0.001
y1[1] (analytic) = 2.504670281511483833495956245149
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0252447429072808332226683099334
relative error = 1.0079068328325628708183900876048 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.53
y2[1] (analytic) = 1.1371929294852389881933049814358
y2[1] (numeric) = 1.1371929293872688589005889834444
absolute error = 9.79701292927159979914e-11
relative error = 8.6150842792403829836699138019396e-09 %
h = 0.001
y1[1] (analytic) = 2.5055333412048469618136610224661
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0261078026006439615403730872505
relative error = 1.042005794586209193383906368475 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.531
y2[1] (analytic) = 1.1376988941456875895875213566629
y2[1] (numeric) = 1.1376988940302289271987331447503
absolute error = 1.154586623887882119126e-10
relative error = 1.0148437603561843472019507283895e-08 %
h = 0.001
y1[1] (analytic) = 2.5063958953649110130614334641129
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0269703567607080127881455288973
relative error = 1.0760613201842698726371347848636 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=30.5MB, alloc=4.0MB, time=4.13
x[1] = 0.532
y2[1] (analytic) = 1.138205721107170186871055565808
y2[1] (numeric) = 1.1382057209718076362708187927123
absolute error = 1.353625506002367730957e-10
relative error = 1.1892626094741920866350061657138e-08 %
h = 0.001
y1[1] (analytic) = 2.5072579431291218990547332650042
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0278324045249188987814453297886
relative error = 1.1100734410350834363067607743614 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.533
y2[1] (analytic) = 1.1387134098628598607968890410339
y2[1] (numeric) = 1.1387134097049355968130961864994
absolute error = 1.579242639837928545345e-10
relative error = 1.3868657610944649443247738245995e-08 %
h = 0.001
y1[1] (analytic) = 2.5081194836354319274199857215036
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.028693945031228927146697786288
relative error = 1.1440421885179908639025603534242 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.534
y2[1] (analytic) = 1.1392219599050678979827427537335
y2[1] (numeric) = 1.1392219597216658369599252125646
absolute error = 1.834020610228175411689e-10
relative error = 1.6098887440521296957581391040888e-08 %
h = 0.001
y1[1] (analytic) = 2.508980516022300663642202267693
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0295549774180976633689143324774
relative error = 1.1779675939832993417301600923899 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.535
y2[1] (analytic) = 1.1397313707252442985997482894172
y2[1] (numeric) = 1.1397313705131738022837753846447
absolute error = 2.120704963159729047725e-10
relative error = 1.8607059677670034240010904963685e-08 %
h = 0.001
y1[1] (analytic) = 2.5098410394286957926053431953273
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0304155008244927923320552601117
relative error = 1.211849688752246261428408871237 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.536
y2[1] (analytic) = 1.1402416418139782849224052974161
y2[1] (numeric) = 1.1402416415697573557952258437604
absolute error = 2.442209291271794536557e-10
relative error = 2.1418348547475889585605201294029e-08 %
h = 0.001
y1[1] (analytic) = 2.5107010529940939796245610171836
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.031275514389890979351273081968
relative error = 1.2456885041169634610473368412739 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.0MB, time=4.65
NO POLE
NO POLE
x[1] = 0.537
y2[1] (analytic) = 1.1407527726609988107393167654858
y2[1] (numeric) = 1.1407527723808367779429653582163
absolute error = 2.801620327963514072695e-10
relative error = 2.4559399679811960821711452251050e-08 %
h = 0.001
y1[1] (analytic) = 2.511560555858481730969463441633
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0321350172542787306961755064174
relative error = 1.2794840713404417076877335311725 %
h = 0.001
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 = 0.001
y1[1] (analytic) = 2.5124195471623562538775354352446
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.032994008558153253604247500029
relative error = 1.3132364216564954207264260941613 %
h = 0.001
TOP MAIN SOLVE Loop
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 = 0.001
y1[1] (analytic) = 2.5132780260467263160568603600697
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0338524874425233157835724248541
relative error = 1.346945586269727634654380302806 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.54
y2[1] (analytic) = 1.1422913186361758574620312210822
y2[1] (numeric) = 1.1422913182220893222624503259293
absolute error = 4.140865351995808951529e-10
relative error = 3.6250519324087504183275863412490e-08 %
h = 0.001
y1[1] (analytic) = 2.5141359916531131046772806829582
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0347104530489101044039927477426
relative error = 1.3806115963554952005577810653469 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.0MB, time=5.17
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 = 0.001
y1[1] (analytic) = 2.514993443123551084849139265818
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0355679045193480845758513306024
relative error = 1.414234483059874225275275969045 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.542
y2[1] (analytic) = 1.1433213053507584871737696523608
y2[1] (numeric) = 1.1433213048219509545977795611311
absolute error = 5.288075325759900912297e-10
relative error = 4.6251874263268252206176299731652e-08 %
h = 0.001
y1[1] (analytic) = 2.5158503796005888575887427581458
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0364248409963858573154548229302
relative error = 1.4478142774996257472675846581109 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.543
y2[1] (analytic) = 1.1438375839836956467396825060591
y2[1] (numeric) = 1.1438375833886868545198566699219
absolute error = 5.950087922198258361372e-10
relative error = 5.2018643254190110568581165927099e-08 %
h = 0.001
y1[1] (analytic) = 2.51670680022729001726968912644
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0372812616230870169964011912244
relative error = 1.4813510107621616482386887333922 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.544
y2[1] (analytic) = 1.1443547187789774757443254902696
y2[1] (numeric) = 1.1443547181112882744861137761337
absolute error = 6.676892012582117141359e-10
relative error = 5.8346349283256661969756470778293e-08 %
h = 0.001
y1[1] (analytic) = 2.5175627041472340085592018692383
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0381371655430310082859139340227
relative error = 1.5148447139055107995508213241878 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=41.9MB, alloc=4.0MB, time=5.70
NO POLE
NO POLE
x[1] = 0.545
y2[1] (analytic) = 1.1448727092194692220004344373497
y2[1] (numeric) = 1.1448727084721548344501166663422
absolute error = 7.473143875503177710075e-10
relative error = 6.5274888774299491180630107260169e-08 %
h = 0.001
y1[1] (analytic) = 2.5184180905045169828386139815162
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0389925519003139825653260463006
relative error = 1.548295417958285442478472536587 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.546
y2[1] (analytic) = 1.1453915547871804881821316933069
y2[1] (numeric) = 1.1453915539528085718035407544069
absolute error = 8.343719163785909389000e-10
relative error = 7.2845998636127663572328145765780e-08 %
h = 0.001
y1[1] (analytic) = 2.5192729584437526541071452480364
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0398474198395496538338573128208
relative error = 1.5817031539196478013496166344112 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.547
y2[1] (analytic) = 1.1459112549632657498152802778119
y2[1] (numeric) = 1.1459112540338939413761710814713
absolute error = 9.293718084391091963406e-10
relative error = 8.1103296997366683894528023985370e-08 %
h = 0.001
y1[1] (analytic) = 2.5201273071100731543681169619403
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0407017685058701540948290267247
relative error = 1.6150679527592769286253490645899 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.548
y2[1] (analytic) = 1.1464318092280248741229651212096
y2[1] (numeric) = 1.1464318081951778154359023159626
absolute error = 1.0328470586870628052470e-09
relative error = 9.0092323884710869629615624089630e-08 %
h = 0.001
y1[1] (analytic) = 2.5209811356491298884967486824406
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.041555597044926888223460747225
relative error = 1.6483898454173357809720963064167 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.0MB, time=6.23
NO POLE
NO POLE
x[1] = 0.549
y2[1] (analytic) = 1.1469532170609036397255825330915
y2[1] (numeric) = 1.146953215915549483688738753592
absolute error = 1.1453541560368437794995e-09
relative error = 9.9860581844117627206174715170316e-08 %
h = 0.001
y1[1] (analytic) = 2.5218344432070943885886821638876
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.042408904602891388315394228672
relative error = 1.6816688628044385253835290098796 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.55
y2[1] (analytic) = 1.1474754779404942571950182023822
y2[1] (numeric) = 1.1474754766730206532787943173546
absolute error = 1.2674736039162238850276e-09
relative error = 1.1045757650447607093970242858435e-07 %
h = 0.001
y1[1] (analytic) = 2.5226872289306591677883781077573
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0432616903264561675150901725417
relative error = 1.7149050358016180744122689999509 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.551
y2[1] (analytic) = 1.1479985913445358904623931748063
y2[1] (numeric) = 1.1479985899447254487882925575294
absolute error = 1.3998104416741006172769e-09
relative error = 1.2193485708328637414163453383014e-07 %
h = 0.001
y1[1] (analytic) = 2.5235394919670385735965319092362
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0441139533628355733232439740206
relative error = 1.7480983952602938495744334681979 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.552
y2[1] (analytic) = 1.1485225567499151790788564000321
y2[1] (numeric) = 1.1485225552069204122375666516792
absolute error = 1.5429947668412897483529e-09
relative error = 1.3434605683389018923731526529230e-07 %
h = 0.001
y1[1] (analytic) = 2.5243912314639696406556550910571
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0449656928597666403823671558415
relative error = 1.7812489720022397719930050577058 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=49.5MB, alloc=4.0MB, time=6.77
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 = 0.001
y1[1] (analytic) = 2.525242446569712943012969639076
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0458169079655099427396817038604
relative error = 1.8143567968195524793489545796575 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.554
y2[1] (analytic) = 1.1495730414679737981956852593716
y2[1] (numeric) = 1.1495730396034190982273232485745
absolute error = 1.8645546999683620107971e-09
relative error = 1.6219540931365056196833440053716e-07 %
h = 0.001
y1[1] (analytic) = 2.5260931364330534458597629767672
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0466675978288504455864750415516
relative error = 1.8474219004746197682119737872459 %
h = 0.001
TOP MAIN SOLVE Loop
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 = 0.001
y1[1] (analytic) = 2.5269433002033013567463518393519
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0475177615990983564730639041363
relative error = 1.8804443137000892608255989824759 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.556
y2[1] (analytic) = 1.1506269278927326429571323050854
y2[1] (numeric) = 1.150626925655017396172922074221
absolute error = 2.2377152467842102308644e-09
relative error = 1.9447791395620992708049404567576e-07 %
h = 0.001
y1[1] (analytic) = 2.5277929370302929762718038326678
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0483673984260899759985158974522
relative error = 1.9134240671988372954244222515677 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.557
y2[1] (analytic) = 1.1511551454282981139168167201663
y2[1] (numeric) = 1.1511551429827959399599100566243
absolute error = 2.4455021739569066635420e-09
relative error = 2.1243897346669414807331658596099e-07 %
h = 0.001
y1[1] (analytic) = 2.5286420460643915482475659871291
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0492165074601885479742780519135
relative error = 1.946361191643938039163995822631 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.0MB, time=7.30
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 = 0.001
y1[1] (analytic) = 2.5294906264564881093341501432183
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0500650878522851090608622080027
relative error = 1.9792557176786328227469364228357 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.559
y2[1] (analytic) = 1.1522141265047142234748325481675
y2[1] (numeric) = 1.1522141235972670504072178669217
absolute error = 2.9074471730676146812458e-09
relative error = 2.5233566454244640040112937125557e-07 %
h = 0.001
y1[1] (analytic) = 2.530338677358002338150025531897
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0509131387537993378767375966814
relative error = 2.0121076759162996958316305894297 %
h = 0.001
TOP MAIN SOLVE Loop
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 = 0.001
y1[1] (analytic) = 2.531186197920883403851869441112
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0517606593166804035785815058964
relative error = 2.0449170969404232023128286671607 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.561
y2[1] (analytic) = 1.153276498723493933162011573659
y2[1] (numeric) = 1.1532764952866587057901867312931
absolute error = 3.4368352273718248423659e-09
relative error = 2.9800617901915904790373703432270e-07 %
h = 0.001
y1[1] (analytic) = 2.5320331872976108141853273882178
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0526076486934078139120394530022
relative error = 2.0776840113045643745662947124054 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.0MB, time=7.83
NO POLE
NO POLE
x[1] = 0.562
y2[1] (analytic) = 1.1538089551838347086351944566842
y2[1] (numeric) = 1.1538089514547969961396621336035
absolute error = 3.7290377124955323230807e-09
relative error = 3.2319368780608832670873468208395e-07 %
h = 0.001
y1[1] (analytic) = 2.5328796446411952630054347476258
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0534541060369922627321468124102
relative error = 2.1104084495323309457525517291988 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.563
y2[1] (analytic) = 1.1543422578351497843556178880455
y2[1] (numeric) = 1.1543422537943269675678137438164
absolute error = 4.0408228167878041442291e-09
relative error = 3.5005413596882018870401421693270e-07 %
h = 0.001
y1[1] (analytic) = 2.5337255691051794772658523133289
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0543000305009764769925643781133
relative error = 2.143090442117347779277626592704 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.564
y2[1] (analytic) = 1.1548764061441365534500922755128
y2[1] (numeric) = 1.1548764017709741713522902669013
absolute error = 4.3731623820978020086115e-09
relative error = 3.7866929818912597416316436021516e-07 %
h = 0.001
y1[1] (analytic) = 2.5345709598436390634760688071373
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0551454212394360632027808719217
relative error = 2.1757300195232275145115566796189 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.565
y2[1] (analytic) = 1.1554113995766467514442061230971
y2[1] (numeric) = 1.1554113948495865762088500351116
absolute error = 4.7270601752353560879855e-09
relative error = 4.0912355347778236758271489018801e-07 %
h = 0.001
y1[1] (analytic) = 2.5354158160111833536257238754924
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0559902774069803533524359402768
relative error = 2.2083272121835414278682706306582 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.0MB, time=8.35
NO POLE
NO POLE
x[1] = 0.566
y2[1] (analytic) = 1.1559472375976869904105459931083
y2[1] (numeric) = 1.1559472324941345682913610079844
absolute error = 5.1035524221191849851239e-09
relative error = 4.4150392475745616274150225663225e-07 %
h = 0.001
y1[1] (analytic) = 2.5362601367629562505752056506075
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0568345981587532503019177153919
relative error = 2.2408820505017905083532988261491 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.567
y2[1] (analytic) = 1.1564839196714192939620398507875
y2[1] (numeric) = 1.1564839141677109511918007723409
absolute error = 5.5037083427702390784466e-09
relative error = 4.7590011838071687563606138794095e-07 %
h = 0.001
y1[1] (analytic) = 2.5371039212546370729116774854067
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0576783826504340726383895501911
relative error = 2.2733945648513767466886050699314 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.568
y2[1] (analytic) = 1.157021445261161633089888798216
y2[1] (numeric) = 1.157021439332530945940256542286
absolute error = 5.9286306871496322559300e-09
relative error = 5.1240456358278027678649408422451e-07 %
h = 0.001
y1[1] (analytic) = 2.5379471686424413992696890063077
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0585216300382383989964010710921
relative error = 2.3058647855755746371266596580326 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.569
y2[1] (analytic) = 1.1575598138293884628455513596132
y2[1] (numeric) = 1.1575598074499321910049251592086
absolute error = 6.3794562718406262004046e-09
relative error = 5.5111245186858980109577058700382e-07 %
h = 0.001
y1[1] (analytic) = 2.5387898780831219121155271633056
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.05936433947891891184223922809
relative error = 2.3382927429875028910686954649239 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.0MB, time=8.87
NO POLE
NO POLE
x[1] = 0.57
y2[1] (analytic) = 1.158099024837731259866243636084
y2[1] (numeric) = 1.1580990179803747422921130917814
absolute error = 6.8573565175741305443026e-09
relative error = 5.9212177633384667522858433901231e-07 %
h = 0.001
y1[1] (analytic) = 2.5396320487339692409944634930788
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0602065101297662407211755578632
relative error = 2.3706784673700963616049029207394 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.571
y2[1] (analytic) = 1.158639077746979060743417804361
y2[1] (numeric) = 1.1586390703834410731462364359611
absolute error = 7.3635379875971813683999e-09
relative error = 6.3553337091960347921129750944765e-07 %
h = 0.001
y1[1] (analytic) = 2.540473679752812805240054347939
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0610481411486098049667664127234
relative error = 2.4030219889760781780971267856779 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.572
y2[1] (analytic) = 1.1591799720170790012336805911064
y2[1] (numeric) = 1.1591799641178360743498209149881
absolute error = 7.8992429268838596761183e-09
relative error = 6.8145094960003973050262303111130e-07 %
h = 0.001
y1[1] (analytic) = 2.5413147702980216561446513813949
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0618892316938186558713634461793
relative error = 2.4353233380279320899274274619847 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.573
y2[1] (analytic) = 1.1597217071071368563116125119018
y2[1] (numeric) = 1.1597216986413870541235018793869
absolute error = 8.4657498021881106325149e-09
relative error = 7.2998114550304194500650515907324e-07 %
h = 0.001
y1[1] (analytic) = 2.5421553195285053185902801198912
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0627297809243023183169921846756
relative error = 2.467582544717875018538662228083 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=68.6MB, alloc=4.0MB, time=9.40
x[1] = 0.574
y2[1] (analytic) = 1.1602642824754175810639478221502
y2[1] (numeric) = 1.1602642734110437381260243069658
absolute error = 9.0643738429379235151844e-09
relative error = 7.8123354996321449025604646161770e-07 %
h = 0.001
y1[1] (analytic) = 2.5429953266037146321390449899122
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0635697879995116318657570546966
relative error = 2.4997996392078298168960272420956 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.575
y2[1] (analytic) = 1.1608076975793458524245742857562
y2[1] (numeric) = 1.1608076878828782694542428028169
absolute error = 9.6964675829703314829393e-09
relative error = 8.3532075150695140115374273326135e-07 %
h = 0.001
y1[1] (analytic) = 2.5438347906836425915822197101162
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0644092520794395913089317749006
relative error = 2.5319746516293982355012794525378 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.576
y2[1] (analytic) = 1.1613519518755066117498110266296
y2[1] (numeric) = 1.1613519415120852086431215993162
absolute error = 1.03634214031066894273134e-08
relative error = 8.9235837476920317807309290798064e-07 %
h = 0.001
y1[1] (analytic) = 2.5446737109288251869471824994803
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0652481723246221866738945642647
relative error = 2.5641076120838340940941286808358 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.577
y2[1] (analytic) = 1.1618970448196456082334218877795
y2[1] (numeric) = 1.1618970337529815336657345561237
absolute error = 1.10666640745676873316558e-08
relative error = 9.5246511934157643067532825274992e-07 %
h = 0.001
y1[1] (analytic) = 2.5455120865003422429613560945909
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0660865478961392426880681593753
relative error = 2.5961985506420166581780541127425 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.578
y2[1] (analytic) = 1.162442975866669943160820883031
y2[1] (numeric) = 1.1624429640590066399332651601833
absolute error = 1.18076633032275557228477e-08
relative error = 1.0157627985514080683393048305269e-06 %
h = 0.001
y1[1] (analytic) = 2.546349916559818257972313112208
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0669243779556152576990251769924
relative error = 2.628247497344424219510556262531 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=72.4MB, alloc=4.0MB, time=9.93
NO POLE
NO POLE
x[1] = 0.579
y2[1] (analytic) = 1.1629897444706486150019254872046
y2[1] (numeric) = 1.1629897318827223402950065257226
absolute error = 1.25879262747069189614820e-08
relative error = 1.0823763781714595695101866858895e-06 %
h = 0.001
y1[1] (analytic) = 2.5471872002694232423232078370701
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0677616616652202420499199018545
relative error = 2.6602544822011078797006051644972 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.58
y2[1] (analytic) = 1.16353735008481306534211267195
y2[1] (numeric) = 1.1635373366758128650383613942532
absolute error = 1.34090002003037512776968e-08
relative error = 1.1524340150598806874123405494702e-06 %
h = 0.001
y1[1] (analytic) = 2.5480239367918735561826960595765
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0685983981876705559094081243609
relative error = 2.6922195351916655360587881093964 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.581
y2[1] (analytic) = 1.1640857921615577256507317563242
y2[1] (numeric) = 1.1640857778890848618888421345706
absolute error = 1.42724728637618896217536e-08
relative error = 1.2260670957300957683143062698452e-06 %
h = 0.001
y1[1] (analytic) = 2.548860125290432746828505133497
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0694345866862297465552171982814
relative error = 2.724142686265216068848395688654 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.582
y2[1] (analytic) = 1.1646350701524405648866273036464
y2[1] (numeric) = 1.1646350549724673960100707427541
absolute error = 1.51799731688765565608923e-08
relative error = 1.3034102748502696707493281464582e-06 %
h = 0.001
y1[1] (analytic) = 2.5496957649289123853838169702094
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0702702263247093851105290349938
relative error = 2.7560239653403737290884132455654 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=76.2MB, alloc=4.0MB, time=10.45
NO POLE
NO POLE
x[1] = 0.583
y2[1] (analytic) = 1.165185183508183637940124459152
y2[1] (numeric) = 1.1651851673750119500037788421669
absolute error = 1.61331716879363456169851e-08
relative error = 1.3846015136720140796566093225912e-06 %
h = 0.001
y1[1] (analytic) = 2.5505308548716729030056272331506
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.071105316267469902732339297935
relative error = 2.7878634023052227260621060694901 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.584
y2[1] (analytic) = 1.1657361316786736349109282865074
y2[1] (numeric) = 1.1657361145448924239098076834562
absolute error = 1.71337812110011206030512e-08
relative error = 1.4697821183879988081896832965331e-06 %
h = 0.001
y1[1] (analytic) = 2.5513653942836244265242445441924
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0719398556794214262509566089768
relative error = 2.8196610270172920136876008158076 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.585
y2[1] (analytic) = 1.1662879141129624312213878253303
y2[1] (numeric) = 1.166287895929405135206108144553
absolute error = 1.81835572960152796807773e-08
relative error = 1.5590967784181364718130688992125e-06 %
h = 0.001
y1[1] (analytic) = 2.5521993823302276135330940625129
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0727738437260246132598061272973
relative error = 2.8514168693035302749095727003818 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.586
y2[1] (analytic) = 1.1668405302592676385645747564984
y2[1] (numeric) = 1.1668405109749688188087407306722
absolute error = 1.92842988197558340258262e-08
relative error = 1.6526936046240127041533064151578e-06 %
h = 0.001
y1[1] (analytic) = 2.553032818177494486927990346228
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0736072795732914866547024110124
relative error = 2.8831309589602811032738480119188 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.0MB, time=10.98
NO POLE
NO POLE
x[1] = 0.587
y2[1] (analytic) = 1.1673939795649731566866257272142
y2[1] (numeric) = 1.1673939591271246270718755743125
absolute error = 2.04378485296147501529017e-08
relative error = 1.7507241674512378617619025894479e-06 %
h = 0.001
y1[1] (analytic) = 2.5538657009919892688950449575815
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0744401623877862686217570223659
relative error = 2.9148033257532583808494244187152 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.588
y2[1] (analytic) = 1.1679482614766297260027965535271
y2[1] (numeric) = 1.1679482398305361297877924352566
absolute error = 2.16460935962150041182705e-08
relative error = 1.8533435349993999353634309869858e-06 %
h = 0.001
y1[1] (analytic) = 2.5546980299408292143463748238537
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0752724913366262140730868886381
relative error = 2.9464339994175218516650974269552 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.589
y2[1] (analytic) = 1.1685033754399554810466756843086
y2[1] (numeric) = 1.168503352528989314186880700571
absolute error = 2.29109661668597949837376e-08
relative error = 1.9607103110193021481825722819279e-06 %
h = 0.001
y1[1] (analytic) = 2.5555298041916854438027779183523
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0761042655874824435294899831367
relative error = 2.9780230096574528898305601861543 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.59
y2[1] (analytic) = 1.1690593208998365047520034775093
y2[1] (numeric) = 1.1690592966653925849376393846061
absolute error = 2.42344439198143640929032e-08
relative error = 2.0729866728371724774471100147809e-06 %
h = 0.001
y1[1] (analytic) = 2.5563610229127837757225433788758
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0769354843085807754492554436602
relative error = 3.0095703861467304615145156424937 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.0MB, time=11.51
NO POLE
NO POLE
x[1] = 0.591
y2[1] (analytic) = 1.1696160973003273835665430069271
y2[1] (numeric) = 1.1696160716817767641466771289963
absolute error = 2.56185506194198658779308e-08
relative error = 2.1903384092055360830341558906666e-06 %
h = 0.001
y1[1] (analytic) = 2.5571916852729055582755637349123
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0777661466687025580022757996967
relative error = 3.0410761585283072799550048232859 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.592
y2[1] (analytic) = 1.1701737040846517633974472856612
y2[1] (numeric) = 1.1701736770192950913587122026597
absolute error = 2.70653566720387350830015e-08
relative error = 2.3129349580804453673444019579756e-06 %
h = 0.001
y1[1] (analytic) = 2.5580217904413885005619174695279
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0785962518371855002886295343123
relative error = 3.0725403564143861526798128044012 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.593
y2[1] (analytic) = 1.1707321406952029063875669609314
y2[1] (numeric) = 1.1707321121182232235565725017985
absolute error = 2.85769796828309944591329e-08
relative error = 2.4409494443247661227388837431058e-06 %
h = 0.001
y1[1] (analytic) = 2.5588513375881275032740906974331
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0794257989839245030008027622175
relative error = 3.103963009386396520117464677924 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.594
y2[1] (analytic) = 1.1712914065735442485221417040005
y2[1] (numeric) = 1.1712913764179592351611955498985
absolute error = 3.01555850133609461541020e-08
relative error = 2.5745587173372219471393389530249e-06 %
h = 0.001
y1[1] (analytic) = 2.559680325883575488802007297074
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0802547872793724885287193618584
relative error = 3.1353441469949711847819676087763 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=87.7MB, alloc=4.0MB, time=12.03
x[1] = 0.595
y2[1] (analytic) = 1.1718515011604099580653176885558
y2[1] (numeric) = 1.1718514693570236180316284977296
absolute error = 3.18033863400336891908262e-08
relative error = 2.7139433886069028245623593994840e-06 %
h = 0.001
y1[1] (analytic) = 2.5605087544987442307800373917875
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0810832158945412305067494565719
relative error = 3.1666837987599232302170918568458 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.596
y2[1] (analytic) = 1.172412423895705494825932721079
y2[1] (numeric) = 1.1724123903730592814650281233456
absolute error = 3.35226462133609045977334e-08
relative error = 2.8592878691929474753169552436195e-06 %
h = 0.001
y1[1] (analytic) = 2.5613366226052051830751546330814
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0819110840010021828018666978658
relative error = 3.1979819941702231288886134550952 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.597
y2[1] (analytic) = 1.1729741742185081702520097574644
y2[1] (numeric) = 1.172974138902831552196660832084
absolute error = 3.53156766180553489253804e-08
relative error = 3.0107804071291127802321558807728e-06 %
h = 0.001
y1[1] (analytic) = 2.5621639293750903082154132979511
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0827383907708873079421253627355
relative error = 3.2292387626839760382155640842174 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.598
y2[1] (analytic) = 1.1735367515670677083533987114403
y2[1] (numeric) = 1.1735367143822281743999026565663
absolute error = 3.71848395339534960548740e-08
relative error = 3.1686131247529472744865442458321e-06 %
h = 0.001
y1[1] (analytic) = 2.5629906739810929052579167718239
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0835651353768899049846288366083
relative error = 3.2604541337283992839341495806934 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.599
y2[1] (analytic) = 1.1741001553788068074520056321979
y2[1] (numeric) = 1.1741001162462593096862392566979
absolute error = 3.91325474977657663755000e-08
relative error = 3.3329820559592893892746650758697e-06 %
h = 0.001
y1[1] (analytic) = 2.5638168555964684370954495492333
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0843913169922654368221616140177
relative error = 3.2916281366998000299906074678557 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.0MB, time=12.58
NO POLE
NO POLE
x[1] = 0.6
y2[1] (analytic) = 1.1746643850903217027590475010446
y2[1] (numeric) = 1.1746643439290575371052659196681
absolute error = 4.11612641656537815813765e-08
relative error = 3.5040871833778147935580859879562e-06 %
h = 0.001
y1[1] (analytic) = 2.5646424733950353572009454456587
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0852169347908323569276575104431
relative error = 3.3227608009635531341618759185234 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.601
y2[1] (analytic) = 1.1752294401373827297787700698751
y2[1] (numeric) = 1.17522939686387785314468755995
absolute error = 4.32735048766340825099251e-08
relative error = 3.6821324754743608534047463712396e-06 %
h = 0.001
y1[1] (analytic) = 2.5654675265511759358089652761314
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0860419879469729355356773409158
relative error = 3.3538521558540791886055416535691 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.602
y2[1] (analytic) = 1.1757953199549348885380653377883
y2[1] (numeric) = 1.1757952744830976717303187193006
absolute error = 4.54718372168077466184877e-08
relative error = 3.8673259235757598828122066604227e-06 %
h = 0.001
y1[1] (analytic) = 2.5662920142398370855333578191989
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0868664756356340852600698839833
relative error = 3.3849022306748227445431224633943 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.603
y2[1] (analytic) = 1.1763620239770984086414244362806
y2[1] (numeric) = 1.1763619762182168242260835667609
absolute error = 4.77588815844153408695197e-08
relative error = 4.0598795788179165073345514560156e-06 %
h = 0.001
y1[1] (analytic) = 2.5671159356365311864202784486542
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0876903970323281861469905134386
relative error = 3.4159110546982307202833213189365 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.0MB, time=13.10
NO POLE
NO POLE
x[1] = 0.604
y2[1] (analytic) = 1.1769295516371693151506608681084
y2[1] (numeric) = 1.1769295014998575594340158986556
absolute error = 5.01373117557166449694528e-08
relative error = 4.2600095890168681001843192620531e-06 %
h = 0.001
y1[1] (analytic) = 2.5679392899173369104357403800814
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0885137513131339101624524448658
relative error = 3.4468786571657309917944634260815 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.605
y2[1] (analytic) = 1.177497902367619995288838220145
y2[1] (numeric) = 1.1774978497577645435942591385934
absolute error = 5.26098554516945790815516e-08
relative error = 4.4679362354625708796579920535269e-06 %
h = 0.001
y1[1] (analytic) = 2.5687620762589000453868740447335
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0893365376546970451135861095179
relative error = 3.4778050672877111650378950822063 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.606
y2[1] (analytic) = 1.1780670756000997659678356463513
y2[1] (numeric) = 1.1780670204208048603850663374669
absolute error = 5.51792949055827693088844e-08
relative error = 4.6838839696351578766343883715683e-06 %
h = 0.001
y1[1] (analytic) = 2.569584293838434318276070669554
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0901587552342313180027827343384
relative error = 3.5086903142434975292766838268634 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.607
y2[1] (analytic) = 1.1786370707654354421389835933405
y2[1] (numeric) = 1.1786370129169680109228001734525
absolute error = 5.78484674312161834198880e-08
relative error = 4.9080814498434185914191204450909e-06 %
h = 0.001
y1[1] (analytic) = 2.5704059418337222180871867092646
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.090980403229519217813898774049
relative error = 3.5395344271813341905765131501844 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.0MB, time=13.65
NO POLE
NO POLE
x[1] = 0.608
y2[1] (analytic) = 1.1792078872936319059662014179512
y2[1] (numeric) = 1.1792078266733659137619329520105
absolute error = 6.06202659922042684659407e-08
relative error = 5.1407615777852537602567520239646e-06 %
h = 0.001
y1[1] (analytic) = 2.5712270194231158180029863443854
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0918014808189128177296984091698
relative error = 3.5703374352183623847182119436167 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.609
y2[1] (analytic) = 1.1797795246138726768210677237362
y2[1] (numeric) = 1.1797794611162329048950466058852
absolute error = 6.34976397719260211178510e-08
relative error = 5.3821615350298622433058361881207e-06 %
h = 0.001
y1[1] (analytic) = 2.5720475257855375970529998278124
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0926219871813345967797118925968
relative error = 3.6010993674405999687438989579265 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.61
y2[1] (analytic) = 1.1803519821545204820992534213452
y2[1] (numeric) = 1.1803519156709257377528326951047
absolute error = 6.64835947443464207262405e-08
relative error = 5.6325228194214206276751149326696e-06 %
h = 0.001
y1[1] (analytic) = 2.5728674601004812611909760321627
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0934419214962782609176880969471
relative error = 3.6318202529029210903612557840579 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.611
y2[1] (analytic) = 1.1809252593431178288577466964165
y2[1] (numeric) = 1.1809251897619235832040924069809
absolute error = 6.95811942456536542894356e-08
relative error = 5.8920912814040197111547718488005e-06 %
h = 0.001
y1[1] (analytic) = 2.5736868215480125638011081205036
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.094261282943809563527820185288
relative error = 3.6625001206290360344329683037879 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=102.9MB, alloc=4.0MB, time=14.17
NO POLE
NO POLE
x[1] = 0.612
y2[1] (analytic) = 1.1814993556063875762722982477992
y2[1] (numeric) = 1.1814992828128280295557365561097
absolute error = 7.27935595467165616916895e-08
relative error = 6.1611171602676255944503664983205e-06 %
h = 0.001
y1[1] (analytic) = 2.5745056093087701256322118343075
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0950800707045671253589238990919
relative error = 3.6931389996114712457808961797835 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.613
y2[1] (analytic) = 1.1820742703702335089145143387088
y2[1] (numeric) = 1.1820741942463630825527855843708
absolute error = 7.61238704263617287543380e-08
relative error = 6.4398551203148366619455612644929e-06 %
h = 0.001
y1[1] (analytic) = 2.5753238225639662541590364645238
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0958982839597632538857485293082
relative error = 3.7237369188115495275370427794905 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.614
y2[1] (analytic) = 1.1826500030597409108480243837716
y2[1] (numeric) = 1.1826499234843751653783695609279
absolute error = 7.95753657454696548228437e-08
relative error = 6.7285642869482112731898383570718e-06 %
h = 0.001
y1[1] (analytic) = 2.576141460495387762369889144524
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0967159218911847620966012093084
relative error = 3.7542939071593704142759039646728 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.615
y2[1] (analytic) = 1.1832265530991771405431489758368
y2[1] (numeric) = 1.1832264699478331186537281822285
absolute error = 8.31513440218894207936083e-08
relative error = 7.0275082826779445193379935880058e-06 %
h = 0.001
y1[1] (analytic) = 2.5769585222853967869797536773647
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0975329836811937867064657421491
relative error = 3.7848099935537907191652734394429 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=106.8MB, alloc=4.0MB, time=14.70
x[1] = 0.616
y2[1] (analytic) = 1.1838039199119922066094934379379
y2[1] (numeric) = 1.1838038330568282004382107720039
absolute error = 8.68551640061712826659340e-08
relative error = 7.3369552630496759205690631628517e-06 %
h = 0.001
y1[1] (analytic) = 2.5777750071169316060680856843173
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0983494685127286057947977491017
relative error = 3.8152852068624052543750748447606 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.617
y2[1] (analytic) = 1.1843821029208193443458911678558
y2[1] (numeric) = 1.1843820122305740862292762812695
absolute error = 9.06902452581166148865863e-08
relative error = 7.6571779524922134519936680194446e-06 %
h = 0.001
y1[1] (analytic) = 2.5785909141735074561404664369381
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0991653755693044558671785017225
relative error = 3.8457195759215277239862765276675 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.618
y2[1] (analytic) = 1.1849611015474755931071202253905
y2[1] (numeric) = 1.1849610068874068689624932883244
absolute error = 9.46600687241446269370661e-08
relative error = 7.9884536800849627866335654078763e-06 %
h = 0.001
y1[1] (analytic) = 2.579406242639217348613298311092
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.0999807040350143483400103758764
relative error = 3.8761131295361717886444239095876 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.619
y2[1] (analytic) = 1.1855409152129623744868157956707
y2[1] (numeric) = 1.1855408164447850590115399987517
absolute error = 9.87681773154752757969190e-08
relative error = 8.3310644152448541346367116482967e-06 %
h = 0.001
y1[1] (analytic) = 2.5802209916987328857207253783037
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1007954530945298854474374430881
relative error = 3.9064658964800323012047966410118 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.62
y2[1] (analytic) = 1.1861215433374660713160003456393
y2[1] (numeric) = 1.1861214403192895841882042454183
absolute error = 1.030181764871277961002210e-07
relative error = 8.6852968033325625378916531677419e-06 %
h = 0.001
y1[1] (analytic) = 2.5810351605373050758429632275822
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1016096219331020755696752923666
relative error = 3.9367779054954667126186632703545 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.0MB, time=15.23
NO POLE
NO POLE
x[1] = 0.621
y2[1] (analytic) = 1.1867029853403586074766524752305
y2[1] (numeric) = 1.1867028779266237897423834884751
absolute error = 1.074137348177342689867554e-07
relative error = 9.0514422011778209485394112942781e-06 %
h = 0.001
y1[1] (analytic) = 2.581848748340765148255222689459
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1024232097365621479819347542434
relative error = 3.9670491852934766473125649841116 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.622
y2[1] (analytic) = 1.1872852406401980285297346497202
y2[1] (numeric) = 1.1872851286816134383620848153567
absolute error = 1.119585845901676498343635e-07
relative error = 9.4297967125236288784677806911502e-06 %
h = 0.001
y1[1] (analytic) = 2.5826617542955253672964127133811
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1032362156913223670231247781655
relative error = 3.9972797645536896473150121040467 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.623
y2[1] (analytic) = 1.1878683086547290831570991852689
y2[1] (numeric) = 1.1878681919982067101734249407817
absolute error = 1.166565223729836742444872e-07
relative error = 9.8206612233891628546273644460728e-06 %
h = 0.001
y1[1] (analytic) = 2.583474177588579845956808229827
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1040486389843768456835202946114
relative error = 4.0274696719243410843874224667694 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.624
y2[1] (analytic) = 1.1884521888008838054166910457999
y2[1] (numeric) = 1.1884520672894742027406302067526
absolute error = 1.215114096026760608390473e-07
relative error = 1.0224341437351198351851022564245e-05 %
h = 0.001
y1[1] (analytic) = 2.584286017407505358883869409543
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1048604788033023586105814743274
relative error = 4.0576189360222562394185695718972 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.0MB, time=15.76
NO POLE
NO POLE
x[1] = 0.625
y2[1] (analytic) = 1.1890368804947820978104651960589
y2[1] (numeric) = 1.1890367539676089310660365825557
absolute error = 1.265271731667444286135032e-07
relative error = 1.0641147910743856300707027625499e-05 %
h = 0.001
y1[1] (analytic) = 2.5850972729404621548053993141501
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1056717343362591545321113789345
relative error = 4.0877275854328325483442404789218 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.626
y2[1] (analytic) = 1.189622383151732315164435442986
y2[1] (numeric) = 1.1896222514439263275900896647613
absolute error = 1.317078059875743457782247e-07
relative error = 1.1071396087776490682692265673327e-05 %
h = 0.001
y1[1] (analytic) = 2.5859079433761947683692275150305
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1064824047719917680959395798149
relative error = 4.1177956487100220138562288703778 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.627
y2[1] (analytic) = 1.1902086961862318493202708853993
y2[1] (numeric) = 1.1902085591288642421913446772234
absolute error = 1.370573676071289262081759e-07
relative error = 1.1515406335569537128697059401777e-05 %
h = 0.001
y1[1] (analytic) = 2.5867180279040328313986078408783
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1072924892998298311253199056627
relative error = 4.1478231543763137821672074915037 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.628
y2[1] (analytic) = 1.1907958190119677146378552804441
y2[1] (numeric) = 1.1907956764319829421864664710801
absolute error = 1.425799847724513888093640e-07
relative error = 1.1973503979108145829070305962466e-05 %
h = 0.001
y1[1] (analytic) = 2.5875275257138918835625189985835
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1081019871096888832892310633679
relative error = 4.1778101309227168841004363351864 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.0MB, time=16.29
NO POLE
NO POLE
x[1] = 0.629
y2[1] (analytic) = 1.1913837510418171343082238242947
y2[1] (numeric) = 1.1913836027619651123302295247533
absolute error = 1.482798520219779942995414e-07
relative error = 1.2446019336113425444706383419491e-05 %
h = 0.001
y1[1] (analytic) = 2.5883364359962741824600573972178
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1089108973920711821867694620022
relative error = 4.2077566068087431397756684770144 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.63
y2[1] (analytic) = 1.1919724916878481274762910342229
y2[1] (numeric) = 1.1919723375266158548155179439487
absolute error = 1.541612322726607730902742e-07
relative error = 1.2933287751831128078289122808145e-05 %
h = 0.001
y1[1] (analytic) = 2.5891447579422695131181120907946
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.109719219338066512844824155579
relative error = 4.2376626104623902261650143896036 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.631
y2[1] (analytic) = 1.1925620403613200971727826093538
y2[1] (numeric) = 1.192561880132862689273325461656
absolute error = 1.602284574078994571476978e-07
relative error = 1.3435649633737608723088524720731e-05 %
h = 0.001
y1[1] (analytic) = 2.5899524907435559969015123421982
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1105269521393529966282244069826
relative error = 4.2675281702801249067949178897863 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.632
y2[1] (analytic) = 1.1931523964726844190547833382246
y2[1] (numeric) = 1.1931522299867555527727554381488
absolute error = 1.664859288662820279000758e-07
relative error = 1.3953450486162895953440290782023e-05 %
h = 0.001
y1[1] (analytic) = 2.5907596335924008998348388981996
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.111334094988197899561550962984
relative error = 4.2973533146268664228727826073781 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.0MB, time=16.82
NO POLE
NO POLE
x[1] = 0.633
y2[1] (analytic) = 1.1937435594315850309543123126502
y2[1] (numeric) = 1.1937433864934667998210208609844
absolute error = 1.729381182311332914516658e-07
relative error = 1.4487040944830713956175093737015e-05 %
h = 0.001
y1[1] (analytic) = 2.5915661856816614403350906538176
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.112140647077458440061802718602
relative error = 4.3271380718359700451191670220827 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.634
y2[1] (analytic) = 1.1943355286468590232343358993664
y2[1] (numeric) = 1.1943353490572912023634443450042
absolute error = 1.795895678208708915543622e-07
relative error = 1.5036776811315299325731934113203e-05 %
h = 0.001
y1[1] (analytic) = 2.592372146204785596354398973423
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1129466076005825960811110382074
relative error = 4.3568824702092107855888387062452 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.635
y2[1] (analytic) = 1.1949283035265372299516281134903
y2[1] (numeric) = 1.1949281170816459497834581323333
absolute error = 1.864448912801681699811570e-07
relative error = 1.5603019087414859357420291652100e-05 %
h = 0.001
y1[1] (analytic) = 2.5931775143558129119319825259412
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1137519757516099116586945907256
relative error = 4.3865865380167672687663444477524 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.636
y2[1] (analytic) = 1.1955218834778448208258872309833
y2[1] (numeric) = 1.1955216899690706489026040923809
absolute error = 1.935087741719232831386024e-07
relative error = 1.6186134009441521873217653417544e-05 %
h = 0.001
y1[1] (analytic) = 2.5939822893293753031545360822647
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1145567507251723028812481470491
relative error = 4.416250303497205761224112420087 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=125.8MB, alloc=4.0MB, time=17.35
x[1] = 0.637
y2[1] (analytic) = 1.1961162679072018940145166710524
y2[1] (numeric) = 1.1961160671212273239805337218398
absolute error = 2.007859745700339829492126e-07
relative error = 1.6786493082427629902538004724156e-05 %
h = 0.001
y1[1] (analytic) = 2.5947864703206978635242473145531
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1153609317164948632509593793375
relative error = 4.4458737948574643591334555272216 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.638
y2[1] (analytic) = 1.1967114562202240696924773737563
y2[1] (numeric) = 1.1967112479389004167150081446869
absolute error = 2.082813236529774692290694e-07
relative error = 1.7404473114248237816513296049036e-05 %
h = 0.001
y1[1] (analytic) = 2.5955900565255996687336362294726
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.116164517921396668460348294257
relative error = 4.4754570402728373329211914910751 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.639
y2[1] (analytic) = 1.1973074478217230844366180930148
y2[1] (numeric) = 1.197307231821996786241898112183
absolute error = 2.159997262981947199808318e-07
relative error = 1.8040456249659668778431120387181e-05 %
h = 0.001
y1[1] (analytic) = 2.5963930471404945808464124606007
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1169675085362915805731245253851
relative error = 4.505000067886959628366935179818 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.64
y2[1] (analytic) = 1.1979042421157073864138892207397
y2[1] (numeric) = 1.1979040181695457091351840028726
absolute error = 2.239461616772787052178671e-07
relative error = 1.8694830004253996625001118034397e-05 %
h = 0.001
y1[1] (analytic) = 2.5971954413623920518835462392079
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1177699027581890516102583039923
relative error = 4.5345029058117915234384521083715 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.641
y2[1] (analytic) = 1.198501838505382731372844953923
y2[1] (numeric) = 1.1985016063796988794069558225843
absolute error = 2.321256838519658891313387e-07
relative error = 1.9367987298329318533018078634426e-05 %
h = 0.001
y1[1] (analytic) = 2.5979972383888979268137494574101
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1185716997846949265404615221945
relative error = 4.5639655821276034401647889889422 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.0MB, time=17.88
NO POLE
NO POLE
x[1] = 0.642
y2[1] (analytic) = 1.1991002363931527794378378132311
y2[1] (numeric) = 1.1990999958497304085074132044304
absolute error = 2.405434223709304246088007e-07
relative error = 2.0060326490675688053688646067930e-05 %
h = 0.001
y1[1] (analytic) = 2.5987984374182152459475638332798
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1193728988140122456742758980642
relative error = 4.5933881248829609108492176815203 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.643
y2[1] (analytic) = 1.1996994351806196927053087189588
y2[1] (numeric) = 1.1996991859760368253248654088071
absolute error = 2.492045828673804433101517e-07
relative error = 2.0772251412276581312328749101287e-05 %
h = 0.001
y1[1] (analytic) = 2.599599037649145046734253783893
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1201734990449420464609658486774
relative error = 4.6227705620947096979263429028712 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.644
y2[1] (analytic) = 1.2002994342685847336415750281037
y2[1] (numeric) = 1.2002991761541370761857313233947
absolute error = 2.581144476574558437047090e-07
relative error = 2.1504171399925772374261621818599e-05 %
h = 0.001
y1[1] (analytic) = 2.6003990382810871649607022094871
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1209734996768841646874142742715
relative error = 4.6521129217479610667700316098188 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.645
y2[1] (analytic) = 1.2009002330570488642815181348221
y2[1] (numeric) = 1.2008999657786725248545394631571
absolute error = 2.672783763394269786716650e-07
relative error = 2.2256501329759496968490989178380e-05 %
h = 0.001
y1[1] (analytic) = 2.6011984385140410353515079898995
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1217728999098380350782200546839
relative error = 4.681415231796077210761123089686 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.0MB, time=18.43
NO POLE
NO POLE
x[1] = 0.646
y2[1] (analytic) = 1.2015018309452133462275714356296
y2[1] (numeric) = 1.2015015542434069525339279703422
absolute error = 2.767018063936936434652874e-07
relative error = 2.3029661650703786939032991009736e-05 %
h = 0.001
y1[1] (analytic) = 2.6019972375486064915694845932574
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1225716989444034912961966580418
relative error = 4.7106775201606568279261734796457 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.647
y2[1] (analytic) = 1.2021042273314803414484086604078
y2[1] (numeric) = 1.2021039409412265578646446144819
absolute error = 2.863902537835837640459259e-07
relative error = 2.3824078417836860959606594709984e-05 %
h = 0.001
y1[1] (analytic) = 2.6027954345859845656157597964862
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1233698959817815653424718612706
relative error = 4.7398998147315208484607767087401 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.648
y2[1] (analytic) = 1.2027074216134535138767317705792
y2[1] (numeric) = 1.2027071252641399569255467923918
absolute error = 2.963493135569511849781874e-07
relative error = 2.4640183325666460200649078200981e-05 %
h = 0.001
y1[1] (analytic) = 2.6035930288279782866286771176028
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1241674902237752863553891823872
relative error = 4.769082143366698312453285723345 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.649
y2[1] (analytic) = 1.203311413187938631805556826712
y2[1] (numeric) = 1.2033111066032781832336015281715
absolute error = 3.065846604485719552985405e-07
relative error = 2.5478413741322020778285505351274e-05 %
h = 0.001
y1[1] (analytic) = 2.6043900194769934790807001609604
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1249644808727904788074122257448
relative error = 4.7982245338924123971270333305875 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.0MB, time=18.95
NO POLE
NO POLE
x[1] = 0.65
y2[1] (analytic) = 1.2039162014509441710823954293201
y2[1] (numeric) = 1.2039158843488946877438854732044
absolute error = 3.171020494833385099561157e-07
relative error = 2.6339212737661577942885327543259e-05 %
h = 0.001
y1[1] (analytic) = 2.6051864057360395603725216786059
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1257608671318365600992337433903
relative error = 4.8273270141030665929214210861246 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.651
y2[1] (analytic) = 1.2045217857976819191007285387257
y2[1] (numeric) = 1.2045214578903653388495849061578
absolute error = 3.279073165802511436325679e-07
relative error = 2.7223029126293300080131071346011e-05 %
h = 0.001
y1[1] (analytic) = 2.6059821868087303378235797537072
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1265566482045273375502918184916
relative error = 4.8563896117612310277345073747963 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.652
y2[1] (analytic) = 1.2051281656225675795881686825627
y2[1] (numeric) = 1.205127826616188422381995732983
absolute error = 3.390063791572061729495797e-07
relative error = 2.8130317490511553700052695028470e-05 %
h = 0.001
y1[1] (analytic) = 2.6067773618992848050581841156014
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1273518232950818047848961803858
relative error = 4.8854123545976289386519821965807 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.653
y2[1] (analytic) = 1.2057353403192213781907057628076
y2[1] (numeric) = 1.205734989913984641610523486915
absolute error = 3.504052367365801822758926e-07
relative error = 2.9061538218147403679194124289458e-05 %
h = 0.001
y1[1] (analytic) = 2.6075719302125279377864562004034
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1281463916083249375131682651878
relative error = 4.9143952703111232904896661877052 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=141.1MB, alloc=4.0MB, time=19.49
x[1] = 0.654
y2[1] (analytic) = 1.2063433092804686688524308781435
y2[1] (numeric) = 1.2063429471704971172426833284729
absolute error = 3.621099715516097475496706e-07
relative error = 3.0017157534333456097926464599817e-05 %
h = 0.001
y1[1] (analytic) = 2.6083658909538914889792871763013
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1289403523496884887059992410857
relative error = 4.9433383865687035404789150896414 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.655
y2[1] (analytic) = 1.2069520718983405409901317819836
y2[1] (numeric) = 1.2069516977715913874241000454595
absolute error = 3.741267491535660317365241e-07
relative error = 3.0997647534182954078855937091876e-05 %
h = 0.001
y1[1] (analytic) = 2.609159243329414783436518758647
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1297337047252117831632308234314
relative error = 4.9722417310054725484265482387333 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.656
y2[1] (analytic) = 1.207561627564074427462152801609
y2[1] (numeric) = 1.2075612411022554077385080529615
absolute error = 3.864618190197236447486475e-07
relative error = 3.2003486215383040083245094922043e-05 %
h = 0.001
y1[1] (analytic) = 2.6099519865457455117475522467268
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1305264479415425114742643115112
relative error = 5.0011053312246336316831506982117 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.657
y2[1] (analytic) = 1.2081719756681147133309112496125
y2[1] (numeric) = 1.2081715765465995512077513933496
absolute error = 3.991215151621231598562629e-07
relative error = 3.3035157510702101160326994012387e-05 %
h = 0.001
y1[1] (analytic) = 2.6107441198101405236435918216702
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1313185812059375233703038864546
relative error = 5.029929214797477764255823404278 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=144.9MB, alloc=4.0MB, time=20.02
x[1] = 0.658
y2[1] (analytic) = 1.2087831156001133454184615651814
y2[1] (numeric) = 1.2087827034878566082917837362783
absolute error = 4.121122567371266778289031e-07
relative error = 3.4093151320411116669296422573621e-05 %
h = 0.001
y1[1] (analytic) = 2.6115356423304666207407287533185
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1321101037262636204674408181029
relative error = 5.0587134092633709194036741604268 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.659
y2[1] (analytic) = 1.2093950467489304426544976297072
y2[1] (numeric) = 1.209394621308381786888668378686
absolute error = 4.254405486557658292510212e-07
relative error = 3.5177963544618931005565640065103e-05 %
h = 0.001
y1[1] (analytic) = 2.6123265533152013486730737730358
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1329010147109983483997858378202
relative error = 5.0874579421297415550565545014021 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.66
y2[1] (analytic) = 1.2100077685026349072161829087698
y2[1] (numeric) = 1.2100073293896527123345782447949
absolute error = 4.391129821948816046639749e-07
relative error = 3.6290096115521376861529407096256e-05 %
h = 0.001
y1[1] (analytic) = 2.6131168519734337886151454793963
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1336913133692307883418575441807
relative error = 5.116162840872068241399753371776 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.661
y2[1] (analytic) = 1.2106212802485050364591972807178
y2[1] (numeric) = 1.2106208271122694274037958861113
absolute error = 4.531362356090554013946065e-07
relative error = 3.7430057029564177537552429766997e-05 %
h = 0.001
y1[1] (analytic) = 2.6139065375148653481927232544241
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1344809989106623479194353192085
relative error = 5.1448281329338674299695582360836 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.662
y2[1] (analytic) = 1.2112355813730291356393886208484
y2[1] (numeric) = 1.2112351138559543923087134814251
absolute error = 4.675170747433306751394233e-07
relative error = 3.8598360379519559791129125099128e-05 %
h = 0.001
y1[1] (analytic) = 2.6146956091498105517813737796007
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1352700705456075515080858443851
relative error = 5.1734538457266813636067876698688 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.0MB, time=20.55
NO POLE
NO POLE
x[1] = 0.663
y2[1] (analytic) = 1.2118506712619061314244164195866
y2[1] (numeric) = 1.2118501889995524846998328368104
absolute error = 4.822623536467245835827762e-07
relative error = 3.9795526386476511671129215623734e-05 %
h = 0.001
y1[1] (analytic) = 2.6154840660891978301918608531767
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1360585274849948299185729179611
relative error = 5.2020400066300661266175866853581 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.664
y2[1] (analytic) = 1.2124665493000461861947739230711
y2[1] (numeric) = 1.2124660519210309996657653856249
absolute error = 4.973790151865290085374462e-07
relative error = 4.1022081431744622729693299679597e-05 %
h = 0.001
y1[1] (analytic) = 2.6162719075445703097416488234469
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1368463689403673094683608882313
relative error = 5.230586642991579834492957034435 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.665
y2[1] (analytic) = 1.2130832148715713131335744951767
y2[1] (numeric) = 1.2130827019974796497332321885103
absolute error = 5.128740916634003423066664e-07
relative error = 4.2278558088671446936639549868778e-05 %
h = 0.001
y1[1] (analytic) = 2.6170591327280866007117105665481
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1376335941238836004384226313325
relative error = 5.2590937821267709625406695162698 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.666
y2[1] (analytic) = 1.213700667359815992104487111237
y2[1] (numeric) = 1.2137001386051105648670639333922
absolute error = 5.287547054272374231778448e-07
relative error = 4.3565495154373331540148534692407e-05 %
h = 0.001
y1[1] (analytic) = 2.6178457408525215851878515520396
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.138420202248318584914563616824
relative error = 5.2875614513191668127853739102098 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.1MB, time=21.07
NO POLE
NO POLE
x[1] = 0.667
y2[1] (analytic) = 1.2143189061473277863172051055833
y2[1] (numeric) = 1.2143183611192582924702009354801
absolute error = 5.450280694938470041701032e-07
relative error = 4.4883437681379658022969483412931e-05 %
h = 0.001
y1[1] (analytic) = 2.6186317311312672042857621550066
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.139206192527064204012474219791
relative error = 5.3159896778202621184948845676121 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.668
y2[1] (analytic) = 1.2149379306158679597798315074841
y2[1] (numeric) = 1.2149373689143797973836931372674
absolute error = 5.617014881623961383702167e-07
relative error = 4.6232937009190444195401888496295e-05 %
h = 0.001
y1[1] (analytic) = 2.6194171027783332447590109897005
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1399915641741302444857230544849
relative error = 5.3443784888495077856927759417571 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.669
y2[1] (analytic) = 1.2155577401464120955375635131482
y2[1] (numeric) = 1.2155571613640544618867001085312
absolute error = 5.787823576336508634046170e-07
relative error = 4.7614550795747259344814489409678e-05 %
h = 0.001
y1[1] (analytic) = 2.6202018550083481249891926567879
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1407763164041451247159047215723
relative error = 5.3727279115942997710195724244993 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.67
y2[1] (analytic) = 1.2161783341191507146970578551619
y2[1] (numeric) = 1.2161777378409840856964910463327
absolute error = 5.962781666290005668088292e-07
relative error = 4.9028843048817407226435961896245e-05 %
h = 0.001
y1[1] (analytic) = 2.6209859870365596803574439141266
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.141560448432356680084155978911
relative error = 5.4010379732099680953069608041498 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.1MB, time=21.60
NO POLE
NO POLE
x[1] = 0.671
y2[1] (analytic) = 1.2167997119134898962358580450436
y2[1] (numeric) = 1.2167990977169928859684447750169
absolute error = 6.141964970102674132700267e-07
relative error = 5.0476384157291334531552415768829e-05 %
h = 0.001
y1[1] (analytic) = 2.6217694980788359479965428996171
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1423439594746329477232549644015
relative error = 5.4293087008197659922315914731123 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.672
y2[1] (analytic) = 1.2174218729080518975962636795423
y2[1] (numeric) = 1.2174212403630274972960497462127
absolute error = 6.325450244003002139333296e-07
relative error = 5.1957750922393225307044403284929e-05 %
h = 0.001
y1[1] (analytic) = 2.6225523873516659509228066540965
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1431268487474629506495187188809
relative error = 5.4575401215148591914171662082766 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.673
y2[1] (analytic) = 1.2180448164806757760630212168607
y2[1] (numeric) = 1.2180441651491569717109040388328
absolute error = 6.513315188043521171780279e-07
relative error = 5.3473526588804744624357458576258e-05 %
h = 0.001
y1[1] (analytic) = 2.6233346540721604815470028124424
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1439091154679574812737148772268
relative error = 5.4857322623543153353556359339891 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.674
y2[1] (analytic) = 1.2186685420084180109242148451658
y2[1] (numeric) = 1.2186678714445727786827153590739
absolute error = 6.705638452322414994860919e-07
relative error = 5.5024300875701897606494750198234e-05 %
h = 0.001
y1[1] (analytic) = 2.6241162974580528845634919520396
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.144690758853849884290204016824
relative error = 5.5138851503650935295204513687649 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=160.2MB, alloc=4.1MB, time=22.13
x[1] = 0.675
y2[1] (analytic) = 1.219293048867553126414735282546
y2[1] (numeric) = 1.2192923586175888051193010404165
absolute error = 6.902499643212954342421295e-07
relative error = 5.6610670007704972718417086071690e-05 %
h = 0.001
y1[1] (analytic) = 2.6248973167276998392168177095343
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1454717781234968389435297743187
relative error = 5.5419988125420340250469228649757 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.676
y2[1] (analytic) = 1.2199183364335743154417035649992
y2[1] (numeric) = 1.2199176260356413553665880436251
absolute error = 7.103979329600751155213741e-07
relative error = 5.8233236745741541009305612992942e-05 %
h = 0.001
y1[1] (analytic) = 2.6256777111000821409449623993491
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1462521724958791406716744641335
relative error = 5.5700732758478480333568530873214 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.677
y2[1] (analytic) = 1.2205444040811940640912260970796
y2[1] (numeric) = 1.220543673065289151208612956748
absolute error = 7.310159049128826131403316e-07
relative error = 5.9892610417822485764456993289262e-05 %
h = 0.001
y1[1] (analytic) = 2.6264574797948054823984864907691
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1470319411906024821251985555535
relative error = 5.5981085672131076721067074535381 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.678
y2[1] (analytic) = 1.2211712511843447769158564585004
y2[1] (numeric) = 1.2211704990722133318675219951173
absolute error = 7.521121314450483344633831e-07
relative error = 6.1589406949731039780112086901207e-05 %
h = 0.001
y1[1] (analytic) = 2.6272366220321012338347709245244
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1478110834278982335614829893088
relative error = 5.6261047135362360418406824912812 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.679
y2[1] (analytic) = 1.221798877116179403002138679282
y2[1] (numeric) = 1.2217981034212174540035710013491
absolute error = 7.736949619489985676779329e-07
relative error = 6.3324248895624810216240491746603e-05 %
h = 0.001
y1[1] (analytic) = 2.6280151370328272228865818746926
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.148589598428624222613293939477
relative error = 5.6540617416834974327321214608247 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.1MB, time=22.66
NO POLE
NO POLE
x[1] = 0.68
y2[1] (analytic) = 1.2224272812490720628176059159557
y2[1] (numeric) = 1.2224264854762274917151254453434
absolute error = 7.957728445711024804706123e-07
relative error = 6.5097765468550773710188961725016e-05 %
h = 0.001
y1[1] (analytic) = 2.6287930240184685137041781874202
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1493674854142655134308902522046
relative error = 5.6819796784889876607988097660643 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.681
y2[1] (analytic) = 1.2230564629546186758366076818755
y2[1] (numeric) = 1.223055644600291836538660424284
absolute error = 8.183543268392979472575915e-07
relative error = 6.6910592570873227148126045029021e-05 %
h = 0.001
y1[1] (analytic) = 2.6295702822111381854701823544214
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1501447436069351851968944192058
relative error = 5.7098585507546245329797598387687 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.682
y2[1] (analytic) = 1.223686421603637588944338005864
y2[1] (numeric) = 1.2236855801555812974487606626387
absolute error = 8.414480562914955773432253e-07
relative error = 6.8763372824614682191354896012975e-05 %
h = 0.001
y1[1] (analytic) = 2.6303469108335781102864365064475
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1509213722293751100131485712319
relative error = 5.7376983852501384404631663449404 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.683
y2[1] (analytic) = 1.2243171565661702056184361152149
y2[1] (numeric) = 1.224316291503389100858120512159
absolute error = 8.650627811047603156030559e-07
relative error = 7.0656755601709694340797119857213e-05 %
h = 0.001
y1[1] (analytic) = 2.6311229091091597304320655399362
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1516973705049567301587776047206
relative error = 5.7654992087130630796572777399649 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.1MB, time=23.21
NO POLE
NO POLE
x[1] = 0.684
y2[1] (analytic) = 1.2249486672114816158875304615069
y2[1] (numeric) = 1.2249477780041308906175439518804
absolute error = 8.892073507252699865096265e-07
relative error = 7.2591397054171619995250884408953e-05 %
h = 0.001
y1[1] (analytic) = 2.631898276261884834991970118843
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1524727376576818347186821836274
relative error = 5.7932610478487263001979894029834 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.685
y2[1] (analytic) = 1.2255809529080612270660961307334
y2[1] (numeric) = 1.2255800390173447280159445881224
absolute error = 9.138907164990501515426110e-07
relative error = 7.4567960144172297617373750505178e-05 %
h = 0.001
y1[1] (analytic) = 2.6326730115163863358549729232243
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1532474729121833355816849880087
relative error = 5.8209839293302410793890168227644 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.686
y2[1] (analytic) = 1.2262140130236233952649949029474
y2[1] (numeric) = 1.2262130739016910917803456544881
absolute error = 9.391219323034846492484593e-07
relative error = 7.6587114674034651765715646048145e-05 %
h = 0.001
y1[1] (analytic) = 2.6334471140979290430808421464934
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1540215754937260428075542112778
relative error = 5.8486678797984966224725545998463 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.687
y2[1] (analytic) = 1.2268478469251080576770664509304
y2[1] (numeric) = 1.2268468820149528780758800118647
absolute error = 9.649101551796011864390657e-07
relative error = 7.8649537316138221381507794713414e-05 %
h = 0.001
y1[1] (analytic) = 2.6342205832324104396354168743884
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1547950446282074393621289391728
relative error = 5.8763129258621495881303683844685 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.1MB, time=23.75
NO POLE
NO POLE
x[1] = 0.688
y2[1] (analytic) = 1.2274824539786813656371383923497
y2[1] (numeric) = 1.2274814627140354005057901484233
absolute error = 9.912646459651313482439264e-07
relative error = 8.0755911642737616335283047497340e-05 %
h = 0.001
y1[1] (analytic) = 2.6349934181463614554930596105924
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1555678795421584552197716753768
relative error = 5.9039190940976154386173022996708 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.689
y2[1] (analytic) = 1.2281178335497363184558221354451
y2[1] (numeric) = 1.2281168153549663901114281796187
absolute error = 1.0181947699283443939558264e-06
relative error = 8.2906928155693908840740794603983e-05 %
h = 0.001
y1[1] (analytic) = 2.6357656180669472411056618466169
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1563400794627442408323739114013
relative error = 5.9314864110490599139312139156503 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.69
y2[1] (analytic) = 1.2287539850028933980264606845022
y2[1] (numeric) = 1.2287529392928959953722558481898
absolute error = 1.0457099974026542048363124e-06
relative error = 8.5103284316118968931560094880296e-05 %
h = 0.001
y1[1] (analytic) = 2.6365371822219679402374292070087
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1571116436177649399641412717931
relative error = 5.9590149032283906294253724576355 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.691
y2[1] (analytic) = 1.2293909077020012042045937982186
y2[1] (numeric) = 1.2293898338820967822058445241592
absolute error = 1.0738199044219987492740594e-06
relative error = 8.7345684573932755771090580441939e-05 %
h = 0.001
y1[1] (analytic) = 2.6373081098398594621646733351585
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1578825712356564618913853999429
relative error = 5.9865045971152487962713736570507 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.1MB, time=24.29
NO POLE
NO POLE
x[1] = 0.692
y2[1] (analytic) = 1.2300286010101370909593051215486
y2[1] (numeric) = 1.2300274984759637339678752048335
absolute error = 1.1025341733569914299167151e-06
relative error = 8.9634840397333579124995437635384e-05 %
h = 0.001
y1[1] (analytic) = 2.6380784001496942532398383199832
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1586528615454912529665503847676
relative error = 6.0139555191570010641826365071518 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.693
y2[1] (analytic) = 1.2306670642896078032958151397345
y2[1] (numeric) = 1.2306659324270142514521385148031
absolute error = 1.1318625935518436766249314e-06
relative error = 9.1971470302181347872971190846709e-05 %
h = 0.001
y1[1] (analytic) = 2.638848052381182067818990099522
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1594225137769790675457021643064
relative error = 6.0413676957687314858105531718217 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.694
y2[1] (analytic) = 1.2313062969019501149486830319832
y2[1] (numeric) = 1.2313051350868881528905347059423
absolute error = 1.1618150619620581483260409e-06
relative error = 9.4356299881293824967608804824033e-05 %
h = 0.001
y1[1] (analytic) = 2.639617065764670738551997914018
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1601915271604677382787099788024
relative error = 6.0687411533332336022273634317269 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.695
y2[1] (analytic) = 1.2319462982079314668449797316401
y2[1] (numeric) = 1.2319451058063476739530736574094
absolute error = 1.1924015837928919060742307e-06
relative error = 9.6790061833655910766278148157698e-05 %
h = 0.001
y1[1] (analytic) = 2.6403854395311469460346375183712
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1609599009269439457613495831556
relative error = 6.0960759182010026489118193485249 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=179.2MB, alloc=4.1MB, time=24.82
x[1] = 0.696
y2[1] (analytic) = 1.2325870675675506063367937297397
y2[1] (numeric) = 1.2325858439352774677478748756464
absolute error = 1.2236322731385889188540933e-06
relative error = 9.9273495993541979165599436439779e-05 %
h = 0.001
y1[1] (analytic) = 2.641153172912236987821846501921
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1617276343080339875485585667054
relative error = 6.123372016690227881655694296687 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.697
y2[1] (analytic) = 1.2332286043400382272024303894814
y2[1] (numeric) = 1.2332273488226846048211674943794
absolute error = 1.2555173536223812628951020e-06
relative error = 0.00010180734935955129345759960273691 %
h = 0.001
y1[1] (analytic) = 2.6419202651402075468013627023692
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1624947265360045465280747671536
relative error = 6.1506294750867850218111731668764 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.698
y2[1] (analytic) = 1.2338709078838576104156647704838
y2[1] (numeric) = 1.2338696198166985731572902746182
absolute error = 1.2880671590372583744958656e-06
relative error = 0.00010439237612355653130202751954653 %
h = 0.001
y1[1] (analytic) = 2.6426867154479664589269773402679
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1632611768437634586536894050523
relative error = 6.1778483196442288203011373962789 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.699
y2[1] (analytic) = 1.234513977556705265682407193618
y2[1] (numeric) = 1.2345126562645712781786916046565
absolute error = 1.3212921339875037155889615e-06
relative error = 0.00010702933769956545067050908361265 %
h = 0.001
y1[1] (analytic) = 2.643452523069063480310635140883
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1640269844648604800373472056674
relative error = 6.2050285765837857398163295425691 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.7
y2[1] (analytic) = 1.2351578127155115737441400098081
y2[1] (numeric) = 1.235156457512677042745929500072
absolute error = 1.3552028345309982105097361e-06
relative error = 0.00010971900275249573106525254281057 %
h = 0.001
y1[1] (analytic) = 2.6442176872376910536726143513987
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1647921486334880533993264161831
relative error = 6.2321702720943467546253474014694 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.1MB, time=25.35
NO POLE
NO POLE
x[1] = 0.701
y2[1] (analytic) = 1.2358024127164414294474832694162
y2[1] (numeric) = 1.2358010229065126071576716037262
absolute error = 1.3898099288222898116656900e-06
relative error = 0.00011246214722686302674785678974938 %
h = 0.001
y1[1] (analytic) = 2.6449822071886850741490202033442
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1655566685844820738757322681286
relative error = 6.2592734323324602674253771851652 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.702
y2[1] (analytic) = 1.2364477769148948855792462226979
y2[1] (numeric) = 1.2364463517906971291506951857645
absolute error = 1.4251241977564285510369334e-06
relative error = 0.00011525955437538227113242271602378 %
h = 0.001
y1[1] (analytic) = 2.6457460821575256544558260128154
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1663205435533226541825380775998
relative error = 6.2863380834223251426635290430358 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.703
y2[1] (analytic) = 1.2370939046655077974663208163335
y2[1] (numeric) = 1.2370924435089721838998871436161
absolute error = 1.4611565356135664336727174e-06
relative error = 0.00011811201478748227390161393727528 %
h = 0.001
y1[1] (analytic) = 2.6465093113803378894086967545133
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1670837727761348891354088192977
relative error = 6.313364251455783855760586228899 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.704
y2[1] (analytic) = 1.2377407953221524683397725861917
y2[1] (numeric) = 1.2377392974042017640182440019943
absolute error = 1.4979179507043215285841974e-06
relative error = 0.00012102032641773365479454998075955 %
h = 0.001
y1[1] (analytic) = 2.6472718940938926197978305898392
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1678463554896896195245426546236
relative error = 6.340351962492315757670921513011 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.1MB, time=25.88
NO POLE
NO POLE
x[1] = 0.705
y2[1] (analytic) = 1.2383884482379382954624835822915
y2[1] (numeric) = 1.238386912818372279556871912896
absolute error = 1.5354195660159056116693955e-06
relative error = 0.00012398529461419016039143906583506 %
h = 0.001
y1[1] (analytic) = 2.6480338295356071956170544742679
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1686082909314041953437665390523
relative error = 6.3673012425590304542142710145098 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.706
y2[1] (analytic) = 1.2390368627652124170197011983717
y2[1] (numeric) = 1.2390352890925925580049866556023
absolute error = 1.5736726198590147145427694e-06
relative error = 0.00012700773214664341258166145770044 %
h = 0.001
y1[1] (analytic) = 2.6487951169435462386464106149696
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.169369578339343238373122679754
relative error = 6.3942121176506612996169865033523 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.707
y2[1] (analytic) = 1.2396860382555603597718460155734
y2[1] (numeric) = 1.2396844255670938442899136366779
absolute error = 1.6126884665154819323788955e-06
relative error = 0.00013008845923479113974959618130596 %
h = 0.001
y1[1] (analytic) = 2.6495557555564224043874711961547
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1701302169522194041141832609391
relative error = 6.421084613729559003702312401921 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.708
y2[1] (analytic) = 1.2403359740598066874689310074817
y2[1] (numeric) = 1.2403343215812298007770878899715
absolute error = 1.6524785768866918431175102e-06
relative error = 0.00013322830357631894404583822034671 %
h = 0.001
y1[1] (analytic) = 2.6503157446135971433506194368912
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1708902060093941430773315016756
relative error = 6.4479187567256853521711532183191 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.1MB, time=26.41
NO POLE
NO POLE
x[1] = 0.709
y2[1] (analytic) = 1.2409866695280156500259436921618
y2[1] (numeric) = 1.2409849764734765072700540766157
absolute error = 1.6930545391427558896155461e-06
relative error = 0.00013642810037489566043057903753938 %
h = 0.001
y1[1] (analytic) = 2.6510750833550814616935356941786
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.171649544750878461420247758963
relative error = 6.4747145725366070394167109778115 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.71
y2[1] (analytic) = 1.2416381240094918334585420558604
y2[1] (numeric) = 1.241636389581432461010466485027
absolute error = 1.7344280593724480755708334e-06
relative error = 0.00013968869236808236548081700774009 %
h = 0.001
y1[1] (analytic) = 2.6518337710215366812101279728528
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1724082324173336809368400376372
relative error = 6.5014720870274896133182803981574 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.711
y2[1] (analytic) = 1.2422903368527808105784143127322
y2[1] (numeric) = 1.2422885602418185766780890309057
absolute error = 1.7766109622339003252818265e-06
relative error = 0.00014301092985515509624372602029505 %
h = 0.001
y1[1] (analytic) = 2.6525918068542751986691468534576
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.173166268250072198395858918242
relative error = 6.5281913260310915314613920915587 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.712
y2[1] (analytic) = 1.2429433074056697924476518052839
y2[1] (numeric) = 1.2429414877904781863907952572361
absolute error = 1.8196151916060568565480478e-06
relative error = 0.0001463956707248413416949383174046 %
h = 0.001
y1[1] (analytic) = 2.6533491900952612445017254995287
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1739236514910582442284375643131
relative error = 6.5548723153477583282333909822048 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.1MB, time=26.95
NO POLE
NO POLE
x[1] = 0.713
y2[1] (analytic) = 1.2435970350151882805914835912195
y2[1] (numeric) = 1.2435951715623770397045683342863
absolute error = 1.8634528112408869152569332e-06
relative error = 0.00014984378048297037162269311245352 %
h = 0.001
y1[1] (analytic) = 2.6541059199871116408370860568158
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1746803813829086405637981216002
relative error = 6.5815150807454168922454284169874 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.714
y2[1] (analytic) = 1.2442515190276087199687205040045
y2[1] (numeric) = 1.2442496108916033036135010596083
absolute error = 1.9081360054163552194443962e-06
relative error = 0.00015335613228003747000676477086673 %
h = 0.001
y1[1] (analytic) = 2.6548619957730965588856544087971
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1754364571688935586123664735815
relative error = 6.6081196479595698535337321295107 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.715
y2[1] (analytic) = 1.2449067587884471526992557167609
y2[1] (numeric) = 1.2449048051113675625497958580379
absolute error = 1.9536770795901494598587230e-06
relative error = 0.00015693360693868214219481665352921 %
h = 0.001
y1[1] (analytic) = 2.655617416697140275668825905437
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1761918780929372753955379702214
relative error = 6.6346860426932900799948983070395 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.716
y2[1] (analytic) = 1.2455627536424638725479680820458
y2[1] (numeric) = 1.245560753554002818383764781695
absolute error = 2.0000884610541642033003508e-06
relative error = 0.00016057709298108036739832974337244 %
h = 0.001
y1[1] (analytic) = 2.6563721820038219300946253354824
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1769466433996189298213374002668
relative error = 6.6612142906172152825118245181599 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=198.3MB, alloc=4.1MB, time=27.48
x[1] = 0.717
y2[1] (analytic) = 1.2462195029336640801643737636656
y2[1] (numeric) = 1.2462174555509644904238295099832
absolute error = 2.0473826995897405442536824e-06
relative error = 0.00016428748665625097023553307314644 %
h = 0.001
y1[1] (analytic) = 2.6571262909383762783785050667013
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1777007523341732781052171314857
relative error = 6.687704417369542728228771198571 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.718
y2[1] (analytic) = 1.2468770060052985390773709209283
y2[1] (numeric) = 1.24687491043283041541652134959
absolute error = 2.0955724681236608495713383e-06
relative error = 0.00016806569196727618723981812929043 %
h = 0.001
y1[1] (analytic) = 2.6578797427466944488085259333295
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1784542041424914485352379981139
relative error = 6.7141564485560240614359027755712 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.719
y2[1] (analytic) = 1.2475352621998642324444214506442
y2[1] (numeric) = 1.2475331175293008475464812344869
absolute error = 2.1446705633848979402161573e-06
relative error = 0.00017191262069843650642895716222807 %
h = 0.001
y1[1] (analytic) = 2.6586325366753246958541661056053
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1792069980711216955808781703897
relative error = 6.7405704097499602315255173507357 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.72
y2[1] (analytic) = 1.248194270859105020554513037748
y2[1] (numeric) = 1.2481920761691984584364597259291
absolute error = 2.1946899065621180533118189e-06
relative error = 0.00017582919244225986019306978899823 %
h = 0.001
y1[1] (analytic) = 2.6593846719714731536180038326482
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1799591333672701533447158974326
relative error = 6.7669463264921965274840261676881 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.721
y2[1] (analytic) = 1.2488540313240122990842440116342
y2[1] (numeric) = 1.2488517856804683371473170124559
absolute error = 2.2456435439619369269991783e-06
relative error = 0.00017981633462648525390769915143548 %
h = 0.001
y1[1] (analytic) = 2.6601361478830045886295206070606
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.180710609278801588356232671845
relative error = 6.7932842242911177183855908795733 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.1MB, time=28.00
NO POLE
NO POLE
x[1] = 0.722
y2[1] (analytic) = 1.249514542934825658106372752177
y2[1] (numeric) = 1.2495122453901779901780229098903
absolute error = 2.2975446476679283498422867e-06
relative error = 0.0001838749825409409148125750899999 %
h = 0.001
y1[1] (analytic) = 2.6608869636584431519802719575123
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1814614250542401517069840222967
relative error = 6.819584128622643299355167911546 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.723
y2[1] (analytic) = 1.2501758050310335418501726369398
y2[1] (numeric) = 1.2501734546245173414656568613393
absolute error = 2.3504065162003845157756005e-06
relative error = 0.00018800607936433704781666288769272 %
h = 0.001
y1[1] (analytic) = 2.6616371185469731307996737341996
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.182211579942770130526385798984
relative error = 6.8458460649302228424705449994247 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.724
y2[1] (analytic) = 1.2508378169513739092129327692739
y2[1] (numeric) = 1.2508354127087987323854079371937
absolute error = 2.4042425751768275248320802e-06
relative error = 0.00019221057619097328699593097620581 %
h = 0.001
y1[1] (analytic) = 2.6623866117984396990706524114553
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1829610731942366987973644762397
relative error = 6.8720700586248314520747852889943 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.725
y2[1] (analytic) = 1.2515005780338348950219439758613
y2[1] (numeric) = 1.2514981189674569217505748351282
absolute error = 2.4590663779732713691407331e-06
relative error = 0.00019648943205736093364192685932508 %
h = 0.001
y1[1] (analytic) = 2.6631354426633496677844085919225
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1837099040591466675111206567069
relative error = 6.898256135084965323972319213603 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=205.9MB, alloc=4.1MB, time=28.53
NO POLE
NO POLE
x[1] = 0.726
y2[1] (analytic) = 1.2521640876156554720463088117698
y2[1] (numeric) = 1.2521615727240490858125658801015
absolute error = 2.5148916063862337429316683e-06
relative error = 0.00020084361396876007379673653297922 %
h = 0.001
y1[1] (analytic) = 2.6638836103928722344335435575901
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1844580717886692341602556223745
relative error = 6.9244043196566374079837437428849 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.727
y2[1] (analytic) = 1.2528283450333261137579135612673
y2[1] (numeric) = 1.252825773301254818260899024356
absolute error = 2.5717320712954970145369113e-06
relative error = 0.00020527409692563167027322849605806 %
h = 0.001
y1[1] (analytic) = 2.6646311142388397318427993746266
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.185205575634636731569511439411
relative error = 6.9505146376533731733362025251764 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.728
y2[1] (analytic) = 1.2534933496225894578408994734763
y2[1] (numeric) = 1.2534907200208761302232018474181
absolute error = 2.6296017133276176976260582e-06
relative error = 0.00020978186395000472620865820279824 %
h = 0.001
y1[1] (analytic) = 2.6653779534537483763366637213347
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1859524148495453760633757861191
relative error = 6.9765871143562064763680289425739 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.729
y2[1] (analytic) = 1.2541591007184409704489697234547
y2[1] (numeric) = 1.2541564122038374502652115560981
absolute error = 2.6885146035201837581673566e-06
relative error = 0.00021436790611175861923474475420748 %
h = 0.001
y1[1] (analytic) = 2.666124127290759015243091271684
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1866985886865560149698033364684
relative error = 7.0026217750136755300281371729956 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.1MB, time=29.07
NO POLE
NO POLE
x[1] = 0.73
y2[1] (analytic) = 1.2548255976551296112098678414497
y2[1] (numeric) = 1.2548228491701856243907749844901
absolute error = 2.7484849439868190928569596e-06
relative error = 0.00021903322255482070736823821277512 %
h = 0.001
y1[1] (analytic) = 2.6668696350036978737325941307615
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1874440963994948734593061955459
relative error = 7.028618644841818974652444020332 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.731
y2[1] (analytic) = 1.2554928397661584989763626059028
y2[1] (numeric) = 1.2554900302390899160418485939721
absolute error = 2.8095270685829345140119307e-06
relative error = 0.00022377882052327930973278657439534 %
h = 0.001
y1[1] (analytic) = 2.6676144758470573009919544831147
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1881889372428543007186665478991
relative error = 7.0545777490241720495013965443032 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.732
y2[1] (analytic) = 1.2561608263842855783230736492765
y2[1] (numeric) = 1.256157954728842006098498473206
absolute error = 2.8716554435722245751760705e-06
relative error = 0.00022860571538741216721559774917041 %
h = 0.001
y1[1] (analytic) = 2.6683586490759965157318132803332
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1889331104717935154585253451176
relative error = 7.0804991127117628645444674077163 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.733
y2[1] (analytic) = 1.2568295568415242867884712799312
y2[1] (numeric) = 1.2568266219568559928789003381377
absolute error = 2.9348846682939095709417935e-06
relative error = 0.00023351493066963049014098713129893 %
h = 0.001
y1[1] (analytic) = 2.6691021539463423510273894603448
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1896766153421393507541015251292
relative error = 7.1063827610231087719792613735486 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=213.6MB, alloc=4.1MB, time=29.61
NO POLE
NO POLE
x[1] = 0.734
y2[1] (analytic) = 1.2574990304691442228613832781104
y2[1] (numeric) = 1.2574960312396683921393395319968
absolute error = 2.9992294758307220437461136e-06
relative error = 0.00023850749807033870200741978928485 %
h = 0.001
y1[1] (analytic) = 2.6698449897145899984915848577685
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1904194511103869982182969225529
relative error = 7.1322287190442128369746525391931 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.735
y2[1] (analytic) = 1.2581692465976718147113406795812
y2[1] (numeric) = 1.2581661818929381370742110252969
absolute error = 3.0647047336776371296542843e-06
relative error = 0.00024358445749370999028511093728274 %
h = 0.001
y1[1] (analytic) = 2.6705871556379037517797306322801
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1911616170337007515064426970645
relative error = 7.1580370118285604071291427029629 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.736
y2[1] (analytic) = 1.2588402045568909896620938166407
y2[1] (numeric) = 1.2588370732314465783160194158354
absolute error = 3.1313254444113460744008053e-06
relative error = 0.00024874685707337777720765564149643 %
h = 0.001
y1[1] (analytic) = 2.671328650974117749425231710308
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1919031123699147491519437750924
relative error = 7.1838076643971157801373967309282 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.737
y2[1] (analytic) = 1.2595119036758438444076291430284
y2[1] (numeric) = 1.2595087045690974839353789286936
absolute error = 3.1991067463604722502143348e-06
relative error = 0.00025399575319804322541353273899896 %
h = 0.001
y1[1] (analytic) = 2.672069474981736717005366404475
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1926439363775337167320784692594
relative error = 7.2095407017383189691596709422136 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=217.4MB, alloc=4.1MB, time=30.14
x[1] = 0.738
y2[1] (analytic) = 1.2601843432828313159700166267826
y2[1] (numeric) = 1.2601810752189170394410134162368
absolute error = 3.2680639142765290032105458e-06
relative error = 0.00025933221053699889520168540154239 %
h = 0.001
y1[1] (analytic) = 2.6728096269199367086364990450493
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1933840883157337083632111098337
relative error = 7.2352361488080825653906053707657 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.739
y2[1] (analytic) = 1.2608575227054138533984167532507
y2[1] (numeric) = 1.260854184493053847779756358114
absolute error = 3.3382123600056186603951367e-06
relative error = 0.00026475730206556867205973830064351 %
h = 0.001
y1[1] (analytic) = 2.6735491060485658477979641282533
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1941235674443628475246761930377
relative error = 7.2608940305297886973256003032031 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.74
y2[1] (analytic) = 1.2615314412704120902085754393012
y2[1] (numeric) = 1.2615280317027789293365508612583
absolute error = 3.4095676331608720245780429e-06
relative error = 0.00027027210909046408500378531098361 %
h = 0.001
y1[1] (analytic) = 2.6742879116281450674838811576082
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1948623730239420672105932223926
relative error = 7.2865143717942860862247417481814 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.741
y2[1] (analytic) = 1.2622060983039075175621344192991
y2[1] (numeric) = 1.2622026161584857219344496598865
absolute error = 3.4821454217956276847594126e-06
relative error = 0.0002758777212750571381350910003841 %
h = 0.001
y1[1] (analytic) = 2.6750260429198688496821600265609
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1956005043156658494088720913453
relative error = 7.3120971974598871972759794748446 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.742
y2[1] (analytic) = 1.2628814931312431581850839235906
y2[1] (numeric) = 1.2628779371696900808346151154993
absolute error = 3.5559615530773504688080913e-06
relative error = 0.00028157523666456977967151075814896 %
h = 0.001
y1[1] (analytic) = 2.6757634991856059641799574634498
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1963379605814029639066695282342
relative error = 7.3376425323523654859609949787623 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.1MB, time=30.67
NO POLE
NO POLE
x[1] = 0.743
y2[1] (analytic) = 1.2635576250770242410246837310994
y2[1] (numeric) = 1.2635539940450302787363192168814
absolute error = 3.6310319939622883645142180e-06
relative error = 0.00028736576171118013454996801569122 %
h = 0.001
y1[1] (analytic) = 2.676500279687900206694845733414
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1970747410836972064215577981984
relative error = 7.3631504012649527391289252053945 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.744
y2[1] (analytic) = 1.2642344934651188766441779391716
y2[1] (numeric) = 1.2642307860922670057769435801012
absolute error = 3.7073728518708672343590704e-06
relative error = 0.00029325041129904562852095176284498 %
h = 0.001
y1[1] (analytic) = 2.6772363836899711363309554661397
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1978108450857681360576675309241
relative error = 7.3886208289583365102848310959776 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.745
y2[1] (analytic) = 1.2649120976186587333546280560096
y2[1] (numeric) = 1.2649083126182833695319794485112
absolute error = 3.7850003753638226486074984e-06
relative error = 0.00029923030876924313346673261437117 %
h = 0.001
y1[1] (analytic) = 2.6779718104557148123593551533613
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1985462718515118120860672181457
relative error = 7.4140538401606576486015180307971 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.746
y2[1] (analytic) = 1.2655904368600397140831882839174
y2[1] (numeric) = 1.2655865729290848950150276927477
absolute error = 3.8639309548190681605911697e-06
relative error = 0.00030530658594462626547186253061514 %
h = 0.001
y1[1] (analytic) = 2.6787065592497045303219305358001
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.1992810206455015300486426005845
relative error = 7.4394494595675079211650280426061 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.1MB, time=31.21
NO POLE
NO POLE
x[1] = 0.747
y2[1] (analytic) = 1.266269510510922633977146125141
y2[1] (numeric) = 1.2662655663297995246777988107308
absolute error = 3.9441811231092993473144102e-06
relative error = 0.000311480383154599968957542149413 %
h = 0.001
y1[1] (analytic) = 2.6794406293371915574580277757215
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2000150907329885571847398405059
relative error = 7.4648077118419277279658312704014 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.748
y2[1] (analytic) = 1.2669493178922338987430507063167
y2[1] (numeric) = 1.2669452921246776184101129276646
absolute error = 4.0257675562803329377786521e-06
relative error = 0.00031775284925981252196063166566687 %
h = 0.001
y1[1] (analytic) = 2.6801740199841058674531249885306
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.200748481379902867179837053315
relative error = 7.4901286216144039091494465333956 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.749
y2[1] (analytic) = 1.2676298583241661837202504824584
y2[1] (numeric) = 1.267625749617091953539899796037
absolute error = 4.1087070742301803506864214e-06
relative error = 0.00032412514167676509939346954722205 %
h = 0.001
y1[1] (analytic) = 2.6809067304570568745087973847929
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2014811918528538742355094495773
relative error = 7.5154122134828676440419181386171 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.75
y2[1] (analytic) = 1.2683111311261791136881612469999
y2[1] (numeric) = 1.2683069381095377248331987956198
absolute error = 4.1930166413888549624513801e-06
relative error = 0.00033059842640233903286226860713322 %
h = 0.001
y1[1] (analytic) = 2.6816387600233341667332419527799
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2022132214191311664599540175643
relative error = 7.5406585120126924414672681059768 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.1MB, time=31.74
NO POLE
NO POLE
x[1] = 0.751
y2[1] (analytic) = 1.2689931356169999434065846406836
y2[1] (numeric) = 1.2689888569036325444941589334687
absolute error = 4.2787133673989124257072149e-06
relative error = 0.00033717387803824090734970617338674 %
h = 0.001
y1[1] (analytic) = 2.6823701079509082388516282910726
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.202944569346705238578340355857
relative error = 7.5658675417366922208757299131905 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.752
y2[1] (analytic) = 1.2696758711146242388883966190315
y2[1] (numeric) = 1.2696715053001164421650388439233
absolute error = 4.3658145077967233577751082e-06
relative error = 0.00034385267981536563678143568895124 %
h = 0.001
y1[1] (analytic) = 2.6831007735084312242355428809353
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2036752349042282239622549457197
relative error = 7.5910393271551194838032516427375 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.753
y2[1] (analytic) = 1.270359336936316559403924605769
y2[1] (numeric) = 1.2703548825988518649262067886071
absolute error = 4.4543374646944777178171619e-06
relative error = 0.00035063602361807766219664674903364 %
h = 0.001
y1[1] (analytic) = 2.6838307559652376262507947690758
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2044052173610346259775068338602
relative error = 7.6161738927356635751844330655286 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.754
y2[1] (analytic) = 1.2710435323986111402163313278786
y2[1] (numeric) = 1.2710389880988236772961406564274
absolute error = 4.5442997874629201906714512e-06
relative error = 0.00035752511000841041792951223005254 %
h = 0.001
y1[1] (analytic) = 2.6845600545913450489228513130465
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2051345159871420486495633778309
relative error = 7.6412712629134490340427327336982 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.1MB, time=32.27
NO POLE
NO POLE
x[1] = 0.755
y2[1] (analytic) = 1.2717284568173125760473225969591
y2[1] (numeric) = 1.2717238210981391612314279635755
absolute error = 4.6357191734148158946333836e-06
relative error = 0.00036452114825018421288141115646598 %
h = 0.001
y1[1] (analytic) = 2.6852886686574549269191733239135
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2058631300532519266458853886979
relative error = 7.666331462091034033083447590102 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.756
y2[1] (analytic) = 1.2724141095074965052724955712377
y2[1] (numeric) = 1.2724093808940280161267658535265
absolute error = 4.7286134684891457297177112e-06
relative error = 0.00037162535633304267562322831988102 %
h = 0.001
y1[1] (analytic) = 2.6860165974349532548477196239165
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2065910588307502545744316887009
relative error = 7.6913545146384089067166289464939 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.757
y2[1] (analytic) = 1.2731004897835102948456433029448
y2[1] (numeric) = 1.2730956667828423588149610970394
absolute error = 4.8230006679360306822059054e-06
relative error = 0.00037883896099640791371283324699261 %
h = 0.001
y1[1] (analytic) = 2.686743840195911315870891720679
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2073183015917083155976037854634
relative error = 7.7163404448929947670387549487574 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.758
y2[1] (analytic) = 1.2737875969589737259513306468032
y2[1] (numeric) = 1.273782678060056723566930092157
absolute error = 4.9188989170023844005546462e-06
relative error = 0.00038616319775335453924505769921488 %
h = 0.001
y1[1] (analytic) = 2.6874703962130864096341899840818
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2080448576088834093609020488662
relative error = 7.7412892771596422073036308473205 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=236.5MB, alloc=4.1MB, time=32.81
x[1] = 0.759
y2[1] (analytic) = 1.274475430346779680385055877114
y2[1] (numeric) = 1.2744704140202680620916988642062
absolute error = 5.0163265116182933570129078e-06
relative error = 0.00039359931091440271427014954023763 %
h = 0.001
y1[1] (analytic) = 2.6881962647599225795088533972068
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2087707261557195792355654619912
relative error = 7.7662010357106300924146345369539 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.76
y2[1] (analytic) = 1.275163989259094827660311633333
y2[1] (numeric) = 1.2751588739571957435364030657975
absolute error = 5.1153018990841239085675355e-06
relative error = 0.00040114855361123037132180850430291 %
h = 0.001
y1[1] (analytic) = 2.6889214451105513391477556387697
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2094959065063483388744677035541
relative error = 7.7910757447856644359720659339063 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.761
y2[1] (analytic) = 1.2758532730073603128418580871366
y2[1] (numeric) = 1.2758480571636815544862879768256
absolute error = 5.2158436787583555701103110e-06
relative error = 0.00040881218782030476588753416205051 %
h = 0.001
y1[1] (analytic) = 2.6896459365397923983538309412086
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.210220397935589398080543005993
relative error = 7.81591342859187736341099483257 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.762
y2[1] (analytic) = 1.2765432809022924451045204977583
y2[1] (numeric) = 1.2765379629316896989647085044688
absolute error = 5.3179706027461398119932895e-06
relative error = 0.00041659148438643351923216592843771 %
h = 0.001
y1[1] (analytic) = 2.6903697383231543882603038560603
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2109441997189513879870159208447
relative error = 7.8407141113038261607666329400224 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.763
y2[1] (analytic) = 1.2772340122538833870168225968583
y2[1] (numeric) = 1.2772285905523067984331291831895
absolute error = 5.4217015765885836934136688e-06
relative error = 0.00042448772304623531155019830122448 %
h = 0.001
y1[1] (analytic) = 2.6910928497368355858219977464571
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2116673111326325855487098112415
relative error = 7.8654778170634924086058818376643 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=240.3MB, alloc=4.1MB, time=33.34
NO POLE
NO POLE
x[1] = 0.764
y2[1] (analytic) = 1.277925466371401844548766519348
y2[1] (numeric) = 1.2779199393157418917911241747338
absolute error = 5.5270556599527576423446142e-06
relative error = 0.00043250219245153038697374032210883 %
h = 0.001
y1[1] (analytic) = 2.6918152700577246376169975154955
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2123897314535216373437095802799
relative error = 7.8902045699802812006653296762428 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.765
y2[1] (analytic) = 1.2786176425633937578030692724491
y2[1] (numeric) = 1.2786120085113264353763772681318
absolute error = 5.6340520673224266920043173e-06
relative error = 0.00044063619019265103350088620611513 %
h = 0.001
y1[1] (analytic) = 2.6925369985634012829579427688738
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2131114599591982826846548336582
relative error = 7.9148943941310204467375854862449 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.766
y2[1] (analytic) = 1.2793105401376829924691650118068
y2[1] (numeric) = 1.2793047974275143029646818796975
absolute error = 5.7427101686895044831321093e-06
relative error = 0.00044889102282167220243380380240093 %
h = 0.001
y1[1] (analytic) = 2.6932580345321370763122283005656
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.21383249592793407603894036535
relative error = 7.9395473135599602593494510919709 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.767
y2[1] (analytic) = 1.2800041584013720319992816707128
y2[1] (numeric) = 1.2799983053518817857699410530287
absolute error = 5.8530494902462293406176841e-06
relative error = 0.00045726800587556243342705957518713 %
h = 0.001
y1[1] (analytic) = 2.6939783772428961090303894813906
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.214552838638693108757101546175
relative error = 7.9641633522787724237770367666475 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.1MB, time=33.88
NO POLE
NO POLE
x[1] = 0.768
y2[1] (analytic) = 1.2806984966608426705058997664195
y2[1] (numeric) = 1.2806925315711275924441674590071
absolute error = 5.9650897150780617323074124e-06
relative error = 0.00046576846389925525274461369451981 %
h = 0.001
y1[1] (analytic) = 2.6946980259753357303819508221551
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2152724873711327301086628869395
relative error = 7.9887425342665499509445279695173 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.769
y2[1] (analytic) = 1.2813935542217567063799004861449
y2[1] (numeric) = 1.2813874753710728490774833957984
absolute error = 6.0788506838573024170903465e-06
relative error = 0.00047439373046864121380856776910308 %
h = 0.001
y1[1] (analytic) = 2.6954169800098072678980166755753
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2159914414056042676247287403597
relative error = 8.0132848834698067127549067764678 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.77
y2[1] (analytic) = 1.2820893303890566366287094346757
y2[1] (numeric) = 1.282083136036661099198120788852
absolute error = 6.1943523955374305886458237e-06
relative error = 0.00048314514821348075059416197334976 %
h = 0.001
y1[1] (analytic) = 2.6961352386273567470198837344522
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2167097000231537467465957992366
relative error = 8.0377904238024771594025229649946 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.771
y2[1] (analytic) = 1.2827858244669663519337417054856
y2[1] (numeric) = 1.2827795128519583037724211909013
absolute error = 6.3116150080481613205145843e-06
relative error = 0.00049202406884023801588373047734307 %
h = 0.001
y1[1] (analytic) = 2.696852801109725610052955677546
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2174272625055226097796677423304
relative error = 8.0622591791459161182189961544647 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.1MB, time=34.41
NO POLE
NO POLE
x[1] = 0.772
y2[1] (analytic) = 1.2834830357589918324264532179796
y2[1] (numeric) = 1.2834766051001528412048357819635
absolute error = 6.4306588389912216174360161e-06
relative error = 0.00050103185315483587783736549453708 %
h = 0.001
y1[1] (analytic) = 2.6975696667393514344252410092942
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2181441281351484341519530740786
relative error = 8.0866911733488986736055119455824 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.773
y2[1] (analytic) = 1.2841809635679218441823025448716
y2[1] (numeric) = 1.2841744120635555073379253693398
absolute error = 6.5515043663368443771755318e-06
relative error = 0.00051016987108533224976994441050775 %
h = 0.001
y1[1] (analytic) = 2.6982858347993686502497158349369
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2188602961951656499764278997213
relative error = 8.1110864302276201276061516608929 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.774
y2[1] (analytic) = 1.2848796071958286364319267357915
y2[1] (numeric) = 1.2848729330235995154523603876153
absolute error = 6.6741722291209795663481762e-06
relative error = 0.00051943950170451792944297417775675 %
h = 0.001
y1[1] (analytic) = 2.6990013045736092571898340087447
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2195757659694062569165460735291
relative error = 8.1354449735656960406784670727505 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.775
y2[1] (analytic) = 1.2855789659440686394888339260045
y2[1] (numeric) = 1.2855721672608404962669208986588
absolute error = 6.7986832281432219130273457e-06
relative error = 0.00052884213325243612558543580187604 %
h = 0.001
y1[1] (analytic) = 2.6997160753466035406274677899009
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2202905367424005403541798546853
relative error = 8.1597668271141623522190784288308 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=251.7MB, alloc=4.1MB, time=34.94
x[1] = 0.776
y2[1] (analytic) = 1.2862790391132831633929148026071
y2[1] (numeric) = 1.2862721140549564979384965916231
absolute error = 6.9250583266654544182109840e-06
relative error = 0.00053837916315882385075050314973439 %
h = 0.001
y1[1] (analytic) = 2.7004301464035807871325628381541
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2210046077993777868592749029385
relative error = 8.1840520145914755804036361594389 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.777
y2[1] (analytic) = 1.2869798260033990972690742847478
y2[1] (numeric) = 1.2869727726847479860620867829449
absolute error = 7.0533186511112069875018029e-06
relative error = 0.00054805199806547536099469924986439 %
h = 0.001
y1[1] (analytic) = 2.7011435170304699992337920796493
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2217179784262669989605041444337
relative error = 8.2083005596835131009020438881901 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.778
y2[1] (analytic) = 1.2876813259136296094002840592981
y2[1] (numeric) = 1.2876741424281378436708004163448
absolute error = 7.1834854917657294836429533e-06
relative error = 0.00055786205384852782423277329216351 %
h = 0.001
y1[1] (analytic) = 2.7018561865139006094894936723398
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2224306479096976092162057371242
relative error = 8.23251248604357350403139277924 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.779
y2[1] (analytic) = 1.28838353814247484801435589898
y2[1] (numeric) = 1.2883762225621713712358560628272
absolute error = 7.3155803034767784998361528e-06
relative error = 0.00056781075564066940047536864034449 %
h = 0.001
y1[1] (analytic) = 2.7025681541412031938581790001042
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2231426155370001935848910648886
relative error = 8.2566878172923770299106048529499 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=255.5MB, alloc=4.1MB, time=35.48
x[1] = 0.78
y2[1] (analytic) = 1.2890864619877226427837349762354
y2[1] (numeric) = 1.2890790123630162866665819206804
absolute error = 7.4496247063561171530555550e-06
relative error = 0.00057789953785326991849744099297984 %
h = 0.001
y1[1] (analytic) = 2.7032794192004101843678973251179
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2238538805962071840946093899023
relative error = 8.2808265770180660811823256988019 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.781
y2[1] (analytic) = 1.289790096746449207037611673102
y2[1] (numeric) = 1.2897825111059627253104158154767
absolute error = 7.5856404864817271958576253e-06
relative error = 0.00058812984419843433481341224587558 %
h = 0.001
y1[1] (analytic) = 2.7039899809802565810837444291757
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2245644423760535808104564939601
relative error = 8.3049287887762058128691450221179 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.782
y2[1] (analytic) = 1.2904944417150198406856496750424
y2[1] (numeric) = 1.2904867180654232399529052000721
absolute error = 7.7236495966007327444749703e-06
relative error = 0.00059850312771097916215024568882208 %
h = 0.001
y1[1] (analytic) = 2.7046998387701806633728032765141
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2252743001659776630995153412985
relative error = 8.3289944760897847989327566910316 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.783
y2[1] (analytic) = 1.2911994961890896338526274250576
y2[1] (numeric) = 1.2911916325149328008177071546066
absolute error = 7.8636741568330349202704510e-06
relative error = 0.0006090208507703320559120380608178 %
h = 0.001
y1[1] (analytic) = 2.705408991860324700465805433254
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2259834532561217001925174980384
relative error = 8.3530236624492157751061984146479 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.784
y2[1] (analytic) = 1.2919052594636041712232893035015
y2[1] (numeric) = 1.2918972537271487955665883865041
absolute error = 8.0057364553756567009169974e-06
relative error = 0.00061968448512235474841938058572255 %
h = 0.001
y1[1] (analytic) = 2.70611743954153566131480268186
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2266919009373326610415147466444
relative error = 8.3770163713123364575708348937478 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.1MB, time=36.01
NO POLE
NO POLE
x[1] = 0.785
y2[1] (analytic) = 1.2926117308328002370967021888034
y2[1] (numeric) = 1.2926035809738510292994252304724
absolute error = 8.1498589492077972769583310e-06
relative error = 0.00063049551190108952198368115497623 %
h = 0.001
y1[1] (analytic) = 2.7068251811053659237461389730047
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2273996425011629234728510377891
relative error = 8.4009726261044104370512672540994 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.786
y2[1] (analytic) = 1.293318909590206521149412344802
y2[1] (numeric) = 1.293310613525941724554203648503
absolute error = 8.2960642647965952086962990e-06
relative error = 0.00064145542165042941314090113506513 %
h = 0.001
y1[1] (analytic) = 2.707532215844073982908013561925
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2281066772398709826347256267094
relative error = 8.4248924502181281479028658109598 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.787
y2[1] (analytic) = 1.2940267950286443249066968715924
y2[1] (numeric) = 1.2940183506534455213070192298715
absolute error = 8.4443751988035996776417209e-06
relative error = 0.0006525657143457123416207797814342 %
h = 0.001
y1[1] (analytic) = 2.7082385430506251590119268817658
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2288130044464221587386389465502
relative error = 8.4487758670136079117681327336798 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.788
y2[1] (analytic) = 1.2947353864402282689212032486917
y2[1] (numeric) = 1.2947267916255094769720771911373
absolute error = 8.5948147187919491260575544e-06
relative error = 0.00066382789941523935886663561594138 %
h = 0.001
y1[1] (analytic) = 2.7089441620186923043673014125252
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2295186234144893040940134773096
relative error = 8.4726228998183970553796059933374 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.1MB, time=36.55
NO POLE
NO POLE
x[1] = 0.789
y2[1] (analytic) = 1.2954446831163670006582697919461
y2[1] (numeric) = 1.2954359357104030664016923761436
absolute error = 8.7474059639342565774158025e-06
relative error = 0.00067524349576171721214728557244465 %
h = 0.001
y1[1] (analytic) = 2.7096490720426565097085705110381
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2302235334384535094352825758225
relative error = 8.4964335719274731020885160956598 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.79
y2[1] (analytic) = 1.296154684347763903087219138915
y2[1] (numeric) = 1.2961457821755181818862892560176
absolute error = 8.9021722457212009298828974e-06
relative error = 0.00068681403178362542151654700456761 %
h = 0.001
y1[1] (analytic) = 2.7103532724176078098140288749692
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2309277338134048095407409397536
relative error = 8.5202079066032450366999025382318 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.791
y2[1] (analytic) = 1.2968653894244178039779161714986
y2[1] (numeric) = 1.2968563302873691331544019291704
absolute error = 9.0591370486708235142423282e-06
relative error = 0.00069854104539650806807722510445231 %
h = 0.001
y1[1] (analytic) = 2.711056762439345888415739022023
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2316312238351428881424510868074
relative error = 8.5439459270755546431963876966559 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.792
y2[1] (analytic) = 1.2975767976356236859018810793109
y2[1] (numeric) = 1.2975675793115926473726741212969
absolute error = 9.2183240310385292069580140e-06
relative error = 0.00071042608405419049319547693450757 %
h = 0.001
y1[1] (analytic) = 2.7117595414043807823997888745235
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2323340028001777821265009393079
relative error = 8.5676476565416779149342919509374 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.1MB, time=37.07
NO POLE
NO POLE
x[1] = 0.793
y2[1] (analytic) = 1.2982889082699733969372475627432
y2[1] (numeric) = 1.2982795285129478691458591853759
absolute error = 9.3797570255277913883773673e-06
relative error = 0.00072247070476992110948802300190372 %
h = 0.001
y1[1] (analytic) = 2.7124616086099335852961962491652
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2330360700057305850229083139496
relative error = 8.5913131181663265368972553225627 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.794
y2[1] (analytic) = 1.2990017206153563620768554708199
y2[1] (numeric) = 1.2989921771553163605168201016701
absolute error = 9.5434600400015600353691498e-06
relative error = 0.00073467647413743852556888824949912 %
h = 0.001
y1[1] (analytic) = 2.7131629633539371500577567620875
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2337374247497341497844688268719
relative error = 8.6149423350816494395940077162244 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.795
y2[1] (analytic) = 1.2997152339589602953387664658126
y2[1] (numeric) = 1.2997055245017021009665294777261
absolute error = 9.7094572581943722369880865e-06
relative error = 0.00074704496835196418769423596115351 %
h = 0.001
y1[1] (analytic) = 2.713863604935036791127132370486
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2344380663308337908538444352704
relative error = 8.6385353303872344241884020600185 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.796
y2[1] (analytic) = 1.3004294475872719125784906041565
y2[1] (numeric) = 1.3004195698142314874140695483744
absolute error = 9.8777730404251644210557821e-06
relative error = 0.00075957777323112074258345128711918 %
h = 0.001
y1[1] (analytic) = 2.7145635326525909857914784837286
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.235137994048387985518190548513
relative error = 8.6620921271501098584512922253465 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=270.8MB, alloc=4.1MB, time=37.61
x[1] = 0.797
y2[1] (analytic) = 1.3011443607860776450022110215024
y2[1] (numeric) = 1.3011343123541533342166321757293
absolute error = 1.00484319243107855788457731e-05
relative error = 0.00077227648423577632682197624124704 %
h = 0.001
y1[1] (analytic) = 2.7152627458066720748239082894086
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.235837207202469074550620354193
relative error = 8.6856127484047464431253005950171 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.798
y2[1] (analytic) = 1.3018599728404643533802932087375
y2[1] (numeric) = 1.301849751381838873169518849189
absolute error = 1.02214586254802107743595485e-05
relative error = 0.00078514270649081498936653587376071 %
h = 0.001
y1[1] (analytic) = 2.7159612436980669624110936529281
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2365357050938639621378057177125
relative error = 8.7090972171530590482949785464574 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.799
y2[1] (analytic) = 1.3025762830348200429603646655274
y2[1] (numeric) = 1.3025658861567817535061406854357
absolute error = 1.03968780382894542239800917e-05
relative error = 0.00079817805480583345477636778576658 %
h = 0.001
y1[1] (analytic) = 2.7166590256282778153663026630705
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2372334870240748150930147278549
relative error = 8.7325455563644086193563169384766 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.8
y2[1] (analytic) = 1.3032932906528345790792500183577
y2[1] (numeric) = 1.3032827159375980418980184284354
absolute error = 1.05747152365371812315899223e-05
relative error = 0.00081138415369576443588491455468198 %
h = 0.001
y1[1] (analytic) = 2.7173560908995227616271746105814
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2379305522953197613538866753658
relative error = 8.7559577889756041521810129460799 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.801
y2[1] (analytic) = 1.3040109949775004034730459911998
y2[1] (numeric) = 1.3040002399820262224547824494379
absolute error = 1.07549954741810182635417619e-05
relative error = 0.00082476263740142670570520362735844 %
h = 0.001
y1[1] (analytic) = 2.718052438814736588037533902042
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2386269002105335877642459668264
relative error = 8.7793339378909047370723442904032 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.1MB, time=38.14
NO POLE
NO POLE
x[1] = 0.802
y2[1] (analytic) = 1.3047293952911132512846199187868
y2[1] (numeric) = 1.304718457546927196724172746977
absolute error = 1.09377441860545604471718098e-05
relative error = 0.00083831514991000213942886349233266 %
h = 0.001
y1[1] (analytic) = 2.7187480686775714374125451272789
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2393225300733684371392571920633
relative error = 8.8026740259820216711109420713074 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.803
y2[1] (analytic) = 1.3054484908752728687678147950589
y2[1] (numeric) = 1.3054373678882842836920389468704
absolute error = 1.11229869885850757758481885e-05
relative error = 0.00085204334497543993843345029969125 %
h = 0.001
y1[1] (analytic) = 2.7194429797923975048865122152131
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2400174411881945046132242799975
relative error = 8.8259780760881206384901890403286 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.804
y2[1] (analytic) = 1.3061682810108837316876431526351
y2[1] (numeric) = 1.3061569702612032197823403022196
absolute error = 1.13107496805119053028504155e-05
relative error = 0.00086594888613878824925552875827629 %
h = 0.001
y1[1] (analytic) = 2.7201371714643037335426253304078
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2407116328601007332693373951922
relative error = 8.849246111015823958442401263151 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.805
y2[1] (analytic) = 1.3068887649781557644157513731752
y2[1] (numeric) = 1.3068772639199121588571456934101
absolute error = 1.15010582436055586056797651e-05
relative error = 0.00088003344674845339151780683078528 %
h = 0.001
y1[1] (analytic) = 2.7208306429990985093239598806256
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.24140510439489550905067194541
relative error = 8.8724781535392129003583777250567 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.1MB, time=38.67
NO POLE
NO POLE
x[1] = 0.806
y2[1] (analytic) = 1.3076099420566050597204353332294
y2[1] (numeric) = 1.3075982481177616722166336281111
absolute error = 1.16939388433875038017051183e-05
relative error = 0.00089429870998038690981760962398342 %
h = 0.001
y1[1] (analytic) = 2.7215233937033103552250327244533
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2420978550991073549517447892377
relative error = 8.8956742263998300657043245416278 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.807
y2[1] (analytic) = 1.3083318115250545992504875956188
y2[1] (numeric) = 1.3083199221072247485990922412758
absolute error = 1.18894178298506513953543430e-05
relative error = 0.00090874636885820066559113570976522 %
h = 0.001
y1[1] (analytic) = 2.7222154228841886247632213874979
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2427898842799856244899334522823
relative error = 8.9188343523066818363415780619723 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.808
y2[1] (analytic) = 1.3090543726616349747121556625597
y2[1] (numeric) = 1.3090422851398967941809192951413
absolute error = 1.20875217381805312363674184e-05
relative error = 0.00092337812627321018596331363110439 %
h = 0.001
y1[1] (analytic) = 2.7229067298497041947293528157898
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2434811912455011944560648805742
relative error = 8.941958553936240888855964304158 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.809
y2[1] (analytic) = 1.3097776247437851097384901136346
y2[1] (numeric) = 1.3097653364664956325766221792286
absolute error = 1.22882772894771618679344060e-05
relative error = 0.00093819569500440648757671028875521 %
h = 0.001
y1[1] (analytic) = 2.7235973139085501572167689158648
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2441717753043471569434809806492
relative error = 8.9650468539324487745050408544903 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.1MB, time=39.20
NO POLE
NO POLE
x[1] = 0.81
y2[1] (analytic) = 1.3105015670482529824503607593199
y2[1] (numeric) = 1.3104890753368615048388179103425
absolute error = 1.24917113914776115428489774e-05
relative error = 0.00095320079773835659436488025465196 %
h = 0.001
y1[1] (analytic) = 2.7242871743701425109281768525145
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2448616357659395106548889172989
relative error = 8.9880992749067185643928716046333 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.811
y2[1] (analytic) = 1.311226198851096348708418249117
y2[1] (numeric) = 1.3112135009999570694582331325717
absolute error = 1.26978511392792501851165453e-05
relative error = 0.00096839516708903296919583052011538 %
h = 0.001
y1[1] (analytic) = 2.7249763105446208517595927974149
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2455507719404178514863048621993
relative error = 9.0111158394379375594833845055669 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.812
y2[1] (analytic) = 1.3119515194276834660552778823829
y2[1] (numeric) = 1.3119386127038674023637041172888
absolute error = 1.29067238160636915737650941e-05
relative error = 0.00098378054561757208025995186710734 %
h = 0.001
y1[1] (analytic) = 2.7256647217428490626606885447446
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.246239183138646062387400609529
relative error = 9.0340965700724700650647578958337 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.813
y2[1] (analytic) = 1.3126775280526938183472016797382
y2[1] (numeric) = 1.3126644096957999969221767631503
absolute error = 1.31183568938214250249165879e-05
relative error = 0.00099935868585196232401388172310267 %
h = 0.001
y1[1] (analytic) = 2.7263524072764160027708511335054
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2469268686722130024975631982898
relative error = 9.0570414893241602292786719256079 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=286.1MB, alloc=4.1MB, time=39.73
NO POLE
NO POLE
x[1] = 0.814
y2[1] (analytic) = 1.3134042240001188410745540834314
y2[1] (numeric) = 1.3133908912220847639387065960966
absolute error = 1.33327780340771358474873348e-05
relative error = 0.0010151313503066615274173577643777 %
h = 0.001
y1[1] (analytic) = 2.7270393664576361958302663405423
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2476138278534331955569784053267
relative error = 9.0799506196743349453296481587468 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.815
y2[1] (analytic) = 1.3141316065432626473703059662622
y2[1] (numeric) = 1.314118056528174031656458769352
absolute error = 1.35500150886157138471969102e-05
relative error = 0.0010311003115021442531142417327365 %
h = 0.001
y1[1] (analytic) = 2.7277255985995505178653376332361
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2483000599953475175920496980205
relative error = 9.1028239835718068169910826039731 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.816
y2[1] (analytic) = 1.314859674954742754705860940622
y2[1] (numeric) = 1.3148459048586425457567080634246
absolute error = 1.37700961002089491528771974e-05
relative error = 0.0010472673519843791321115846498105 %
h = 0.001
y1[1] (analytic) = 2.7284111030159268841477528965088
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2489855644117238838744649612932
relative error = 9.1256616034328771870259552151183 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.817
y2[1] (analytic) = 1.315588428506490812273477271886
y2[1] (numeric) = 1.3155744354571874693588388861064
absolute error = 1.39930493033429146383857796e-05
relative error = 0.0010636342643442364494019121885474 %
h = 0.001
y1[1] (analytic) = 2.72909587902126093542651197513
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2496703404170579351532240399144
relative error = 9.1484635016413392281415723200789 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=289.9MB, alloc=4.1MB, time=40.26
x[1] = 0.818
y2[1] (analytic) = 1.316317866469753329054558013794
y2[1] (numeric) = 1.3163036475666283830203452724733
absolute error = 1.42189031249460342127413207e-05
relative error = 0.0010802028512368262088538783602124 %
h = 0.001
y1[1] (analytic) = 2.7297799259307767234322287993561
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2503543873265737231589408641405
relative error = 9.1712297005484810960990675007284 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.819
y2[1] (analytic) = 1.3170479881150924025730812975917
y2[1] (numeric) = 1.3170335404289072847368308848851
absolute error = 1.44476861851178362504127066e-05
relative error = 0.001096974925400766904565112756269 %
h = 0.001
y1[1] (analytic) = 2.7304632430604273956530225896556
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.25103770445622439537973465444
relative error = 9.1939602224730891445997511623412 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.82
y2[1] (analytic) = 1.3177787927123864483334420215631
y2[1] (numeric) = 1.3177641132850885899420090129855
absolute error = 1.46794272978583914330085776e-05
relative error = 0.0011139523096773852267285166343301 %
h = 0.001
y1[1] (analytic) = 2.7311458297268958793813133646877
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2517202911226928791080254294721
relative error = 9.2166550897014512015717594130151 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.821
y2[1] (analytic) = 1.3185102795308309299419755031717
y2[1] (numeric) = 1.318495365375359131507702573702
absolute error = 1.49141554717984342729294697e-05
relative error = 0.001131136837029846930909492387598 %
h = 0.001
y1[1] (analytic) = 2.7318276852475955650308377057945
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2524021466433925647575497705789
relative error = 9.239314324487359906481808932105 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.822
y2[1] (analytic) = 1.3192424478389390899114329723498
y2[1] (numeric) = 1.3192272959390281597438441112461
absolute error = 1.51518999109301675888611037e-05
relative error = 0.0011485303505622191004666659340663 %
h = 0.001
y1[1] (analytic) = 2.7325088089406709887232014610491
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2530832703364679884499135258335
relative error = 9.2619379490521161082982162534957 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.1MB, time=40.79
NO POLE
NO POLE
x[1] = 0.823
y2[1] (analytic) = 1.3199752969045426811476781015192
y2[1] (numeric) = 1.3199599042145273423984757971132
absolute error = 1.53926900153387492023044060e-05
relative error = 0.0011661347035384640326726278354 %
h = 0.001
y1[1] (analytic) = 2.7331892001249985141432868023628
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2537636615207955138699988671472
relative error = 9.2845259855845323237326873357101 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.824
y2[1] (analytic) = 1.3207088259947926991178730857087
y2[1] (numeric) = 1.3206931894394107646577494300824
absolute error = 1.56365553819344601236556263e-05
relative error = 0.001183951759401364979904123901153 %
h = 0.001
y1[1] (analytic) = 2.7338688581201870136628317803018
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2544433195159840133895438450862
relative error = 9.3070784562409362553897264479548 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.825
y2[1] (analytic) = 1.3214430343761601146994221046441
y2[1] (numeric) = 1.3214271508503549291459264362168
absolute error = 1.58835258051855534956684273e-05
relative error = 0.0012019833917913839780730156809441 %
h = 0.001
y1[1] (analytic) = 2.7345477822465785487315012530908
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2551222436423755484582133178752
relative error = 9.3295953831451743694538522803886 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.826
y2[1] (analytic) = 1.3221779213144366077089393179268
y2[1] (numeric) = 1.3221617876831587559253778688634
absolute error = 1.61336312778517835614490634e-05
relative error = 0.0012202314845654519952602526243579 %
h = 0.001
y1[1] (analytic) = 2.7352259718252490495347687987877
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2558004332210460492614808635721
relative error = 9.3520767883886155325461437994853 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.1MB, time=41.35
NO POLE
NO POLE
x[1] = 0.827
y2[1] (analytic) = 1.3229134860747353011105078643946
y2[1] (numeric) = 1.3228970991727435824965844086531
absolute error = 1.63869019917186139234557415e-05
relative error = 0.0012386979318156916342950978852693 %
h = 0.001
y1[1] (analytic) = 2.735903426178008993917929952807
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2564778875738059936446420175914
relative error = 9.3745226940301547073829687268813 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.828
y2[1] (analytic) = 1.3236497279214914959024956574681
y2[1] (numeric) = 1.3236330845531531637981363635006
absolute error = 1.66433683383321043592939675e-05
relative error = 0.0012573846378880726237909758506475 %
h = 0.001
y1[1] (analytic) = 2.7365801446274040855755678468317
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2571546060232010853022799116161
relative error = 9.3969331220962167068710736332696 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.829
y2[1] (analytic) = 1.3243866461184634066821930897261
y2[1] (numeric) = 1.3243697430575536722067336686046
absolute error = 1.69030609097344754594211215e-05
relative error = 0.0012762935174010003329076082852042 %
h = 0.001
y1[1] (analytic) = 2.7372561264967159315057930597084
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2578305878925129312325051244928
relative error = 9.4193080945807600062745365197812 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.83
y2[1] (analytic) = 1.3251242399287328978875370821356
y2[1] (numeric) = 1.3251070739182336975371858864475
absolute error = 1.71660104992003503511956881e-05
relative error = 0.0012954264952638375458566260027273 %
h = 0.001
y1[1] (analytic) = 2.7379313711099627187285802261381
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2585058325057597184552922909225
relative error = 9.441647633445280613090400418174 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.1MB, time=41.88
NO POLE
NO POLE
x[1] = 0.831
y2[1] (analytic) = 1.3258625086147062207151852362717
y2[1] (numeric) = 1.3258450763666042470424122067958
absolute error = 1.74322481019736727730294759e-05
relative error = 0.0013147855066953597329046302090574 %
h = 0.001
y1[1] (analytic) = 2.7386058777918998902675246848866
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.259180339187696889994236749671
relative error = 9.4639517606188159942711199902844 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.832
y2[1] (analytic) = 1.3266014514381147507142031715169
y2[1] (numeric) = 1.3265837496331987454134414466997
absolute error = 1.77018049160053007617248172e-05
relative error = 0.0013343724972421440553537816220958 %
h = 0.001
y1[1] (analytic) = 2.7392796458680208203943431848106
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.259854107263817820121055249595
relative error = 9.4862204979979490604332623567348 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.833
y2[1] (analytic) = 1.3273410676600157260546274536119
y2[1] (numeric) = 1.3273230929476730347794120504934
absolute error = 1.79747123426912752154031185e-05
relative error = 0.0013541894227968923426954619192962 %
h = 0.001
y1[1] (analytic) = 2.739952674664557489135443404258
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2605271360603544888621554690424
relative error = 9.508453867446812206693208447026 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.834
y2[1] (analytic) = 1.3280813565407929864701658460576
y2[1] (numeric) = 1.328063105538805374707572089795
absolute error = 1.82510019876117625937562626e-05
relative error = 0.001374238249616688280837430986313 %
h = 0.001
y1[1] (analytic) = 2.7406249635084811560398877773265
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2611994249042781557665998421109
relative error = 9.5306518907970914097719020481735 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.1MB, time=42.43
NO POLE
NO POLE
x[1] = 0.835
y2[1] (analytic) = 1.3288223173401577128742959417292
y2[1] (numeric) = 1.3288037866344964422032792635063
absolute error = 1.85307056612706710166782229e-05
relative error = 0.001394520954341189050999241265765 %
h = 0.001
y1[1] (analytic) = 2.741296511727503033208077859075
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2618709731233000329347899238594
relative error = 9.5528145898480303810119904488806 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.836
y2[1] (analytic) = 1.3295639493171491676490225586661
y2[1] (numeric) = 1.3295451354617693317100008978132
absolute error = 1.88138553798359390216608529e-05
relative error = 0.0014150395240107516595545163428926 %
h = 0.001
y1[1] (analytic) = 2.7419673186500749575804862010582
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2625417800458719573071982658426
relative error = 9.5749419863664347749519931413972 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.837
y2[1] (analytic) = 1.3303062517301354356055536113409
y2[1] (numeric) = 1.3302871512467695551093139461854
absolute error = 1.91004833658804962396651555e-05
relative error = 0.0014357959560844941997721027429336 %
h = 0.001
y1[1] (analytic) = 2.7426373836053900624857634485088
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2632118450011870622124755132932
relative error = 9.5970341020866764531034234652651 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.838
y2[1] (analytic) = 1.3310492238368141656161534967937
y2[1] (numeric) = 1.3310298332147650417209049893765
absolute error = 1.93906220491238952485074172e-05
relative error = 0.0014567922584582922870711100879532 %
h = 0.001
y1[1] (analytic) = 2.743306705923383448447549111117
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2638811673191804481742611759014
relative error = 9.6190909587106978025780723670068 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=308.9MB, alloc=4.1MB, time=42.96
x[1] = 0.839
y2[1] (analytic) = 1.3317928648942133129164323638407
y2[1] (numeric) = 1.331773180590146138302570235424
absolute error = 1.96843040671746138621284167e-05
relative error = 0.0014780304494827109100575141103406 %
h = 0.001
y1[1] (analytic) = 2.7439752849347328532493152006504
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2645497463305298529760272654348
relative error = 9.6411125779080161092139436184842 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.84
y2[1] (analytic) = 1.3325371741586918820773289631291
y2[1] (numeric) = 1.3325171925964256090502155196492
absolute error = 1.99815622662730271134434799e-05
relative error = 0.0014995125579808719402523576805615 %
h = 0.001
y1[1] (analytic) = 2.7446431199708593212565726706296
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.265217581366656320983284735414
relative error = 9.6630989813157279848496058955976 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.841
y2[1] (analytic) = 1.3332821508859406706460441061175
y2[1] (numeric) = 1.3332618684562386355978563046573
absolute error = 2.02824297020350481878014602e-05
relative error = 0.0015212406232662575440536961245456 %
h = 0.001
y1[1] (analytic) = 2.7453102103639278719957713359055
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2658846717597248717224834006899
relative error = 9.6850501905385138483979990786157 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.842
y2[1] (analytic) = 1.3340277943309830134551810921098
y2[1] (numeric) = 1.3340072073913428170176176803374
absolute error = 2.05869396401964375634117724e-05
relative error = 0.0015432166951604497410963433087149 %
h = 0.001
y1[1] (analytic) = 2.7459765554468481679892246932965
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2665510168426451677159367580809
relative error = 9.7069662271486424603720000075688 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.843
y2[1] (analytic) = 1.334774103748175527599348794266
y2[1] (numeric) = 1.3347532086226181698197343638626
absolute error = 2.08951255573577796144304034e-05
relative error = 0.0015654428340108063537852333485864 %
h = 0.001
y1[1] (analytic) = 2.7466421545532751818453918084153
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2672166159490721815721038731997
relative error = 9.7288471126859755105153167211015 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=312.8MB, alloc=4.1MB, time=43.49
NO POLE
NO POLE
x[1] = 0.844
y2[1] (analytic) = 1.3355210783912088580784824280462
y2[1] (numeric) = 1.3354998713700671279525506996897
absolute error = 2.12070211417301259317283565e-05
relative error = 0.0015879211107080735933798677970695 %
h = 0.001
y1[1] (analytic) = 2.7473070070176098626038491784596
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.267881468413406862330561243244
relative error = 9.7506928686579722581935399364642 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.845
y2[1] (analytic) = 1.3362687175131084241071363588314
y2[1] (numeric) = 1.3362471948528145428025206595595
absolute error = 2.15226602938813046156992719e-05
relative error = 0.0016106536067039355285989198485158 %
h = 0.001
y1[1] (analytic) = 2.7479711121749998013342862260498
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2685455735707968010609982908342
relative error = 9.7725035165396942252014362026548 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.846
y2[1] (analytic) = 1.3370170203662351660890026394896
y2[1] (numeric) = 1.3369951782891076831942078424967
absolute error = 2.18420771274828947947969929e-05
relative error = 0.0016336424140285006832956637505567 %
h = 0.001
y1[1] (analytic) = 2.7486344693613398959888588251738
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2692089307571368957155708899582
relative error = 9.7942790777738099406438187892222 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.847
y2[1] (analytic) = 1.3377659862022862932559083034306
y2[1] (numeric) = 1.3377438208963162353902854748098
absolute error = 2.21653059700578656228286208e-05
relative error = 0.001656889635307726010326538871626 %
h = 0.001
y1[1] (analytic) = 2.7492970779132730155072360069414
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2698715393090700152339480717258
relative error = 9.8160195737705997375485799708115 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=316.6MB, alloc=4.1MB, time=44.03
NO POLE
NO POLE
x[1] = 0.848
y2[1] (analytic) = 1.3385156142722960319705437742155
y2[1] (numeric) = 1.3384931218909323030915364100912
absolute error = 2.24923813637288790073641243e-05
relative error = 0.0016803973837807784892968932181899 %
h = 0.001
y1[1] (analytic) = 2.7499589371681906631736757401562
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2705333985639876629003878049406
relative error = 9.837725025907960600871711943055 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.849
y2[1] (analytic) = 1.3392659038266363746921740890535
y2[1] (numeric) = 1.3392430804885704074368531292172
absolute error = 2.28233380659672553209598363e-05
relative error = 0.0017041677833173345964198296212868 %
h = 0.001
y1[1] (analytic) = 2.7506200464642336392254664296844
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2711945078600306389521784944688
relative error = 9.8593954555314110665553831699381 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.85
y2[1] (analytic) = 1.3400168541150178296045839705385
y2[1] (numeric) = 1.339993695903967487003237740348
absolute error = 2.31582110503426013462301905e-05
relative error = 0.0017282029684348178952661493577926 %
h = 0.001
y1[1] (analytic) = 2.7512804051402927027120715242355
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2718548665360897024387835890199
relative error = 9.8810308839540961713013725271652 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.851
y2[1] (analytic) = 1.3407684643864901709055071187424
y2[1] (numeric) = 1.3407449673509828978058019789277
absolute error = 2.34970355072730997051398147e-05
relative error = 0.0017525050843155749977157015873884 %
h = 0.001
y1[1] (analytic) = 2.7519400125360092326043153744632
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2725144739318062323310274392476
relative error = 9.9026313324567924527233951810239 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.1MB, time=44.56
NO POLE
NO POLE
x[1] = 0.852
y2[1] (analytic) = 1.3415207338894431897567894342973
y2[1] (numeric) = 1.3414968940425984132977672076843
absolute error = 2.38398468447764590222266130e-05
relative error = 0.0017770762868239901449430526736172 %
h = 0.001
y1[1] (analytic) = 2.7525988679917758881529492322585
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2731733293875728878796612970429
relative error = 9.9241968222879129995430817391055 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.853
y2[1] (analytic) = 1.3422736618716074458945352223685
y2[1] (numeric) = 1.3422494751909182243704644166295
absolute error = 2.41866806892215240708057390e-05
relative error = 0.0018019187425235386587833371292129 %
h = 0.001
y1[1] (analytic) = 2.7532569708487372684959370327215
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2738314322445342682226490975059
relative error = 9.9457273746635125514955958382273 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.854
y2[1] (analytic) = 1.3430272475800550198984847674316
y2[1] (numeric) = 1.3430027100071689393533342230591
absolute error = 2.45375728860805451505443725e-05
relative error = 0.0018270346286937795143274902189557 %
h = 0.001
y1[1] (analytic) = 2.7539143204487905715138013515826
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.274488781844587571240513416367
relative error = 9.9672230107672926486120950074975 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.855
y2[1] (analytic) = 1.3437814902612002661198710095412
y2[1] (numeric) = 1.3437565977016995840139268715527
absolute error = 2.48925595006821059441379885e-05
relative error = 0.0018524261333472872850898428062521 %
h = 0.001
y1[1] (analytic) = 2.7545709161345862519323706827818
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2751453775303832516590827475662
relative error = 9.9886837517506068295474553709929 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.1MB, time=45.09
NO POLE
NO POLE
x[1] = 0.856
y2[1] (analytic) = 1.3445363891608005662670023942965
y2[1] (numeric) = 1.3445111374839816015579022339738
absolute error = 2.52516768189647091001603227e-05
relative error = 0.001878095455246523712575329639678 %
h = 0.001
y1[1] (analytic) = 2.7552267572495286786722699335127
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2758012186453256783989819982971
relative error = 10.010109618732465878622892546008 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.857
y2[1] (analytic) = 1.3452919435239570836478183109831
y2[1] (numeric) = 1.3452663285626088526290298094698
absolute error = 2.56149613482310187885015133e-05
relative error = 0.0019040448039206491525483743625248 %
h = 0.001
y1[1] (analytic) = 2.7558818431377767914444967872976
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.276456304533573791171208852082
relative error = 10.03150063279954312125431896016 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.858
y2[1] (analytic) = 1.3460481525951155180686628763995
y2[1] (numeric) = 1.3460221701452976153091887244719
absolute error = 2.59824498179027594741519276e-05
relative error = 0.001930276399682274150770917453403 %
h = 0.001
y1[1] (analytic) = 2.7565361731442447565914273395692
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2771106345400417563181394043536
relative error = 10.052856815006179767438481764173 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.859
y2[1] (analytic) = 1.3468050156180668613885221656564
y2[1] (numeric) = 1.3467786614388865851183677326953
absolute error = 2.63541791802762701544329611e-05
relative error = 0.0019567924736441514014330968114988 %
h = 0.001
y1[1] (analytic) = 2.757189746614602622172595164811
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2777642080103996218993072295954
relative error = 10.074178186374390302970125568308 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=328.0MB, alloc=4.1MB, time=45.61
x[1] = 0.86
y2[1] (analytic) = 1.3475625318359481537279693357761
y2[1] (numeric) = 1.347535801649336875014665215139
absolute error = 2.67301866112787133041206371e-05
relative error = 0.0019835952677358083419468255496377 %
h = 0.001
y1[1] (analytic) = 2.7578425628952769722945887295286
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.278417024291073972021300794313
relative error = 10.095464767893867928064620389059 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.861
y2[1] (analytic) = 1.3483207004912432403320614332074
y2[1] (numeric) = 1.3482935899817320153942891800859
absolute error = 2.71105095112249377722531215e-05
relative error = 0.0020106870347201206382099866715791 %
h = 0.001
y1[1] (analytic) = 2.7584946213334515806844128212126
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.279069082729248580411124885997
relative error = 10.116716580521990043061687470593 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.862
y2[1] (analytic) = 1.3490795208257835290864310224247
y2[1] (numeric) = 1.3490520256402779540915572631028
absolute error = 2.74951855055749948737593219e-05
relative error = 0.0020380700382098268148772313163247 %
h = 0.001
y1[1] (analytic) = 2.7591459212770680635056604199826
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.279720382672865063232372484767
relative error = 10.13793364518382378088704405207 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.863
y2[1] (analytic) = 1.3498389920807487486858151195816
y2[1] (numeric) = 1.3498111078283030563788967270404
absolute error = 2.78842524456923069183925412e-05
relative error = 0.0020657465526839842855924746691808 %
h = 0.001
y1[1] (analytic) = 2.7597964620748265314168421967984
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2803709234706235311435542615828
relative error = 10.159115982772131585949972699269 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.864
y2[1] (analytic) = 1.3505991134966677074542632627533
y2[1] (numeric) = 1.3505708357482581049668444620332
absolute error = 2.82777484096024874188007201e-05
relative error = 0.0020937188635043670385481827917166 %
h = 0.001
y1[1] (analytic) = 2.7604462430761862408712215799592
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2810207044719832405979336447436
relative error = 10.180263614147376839156001516383 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.1MB, time=46.15
NO POLE
NO POLE
x[1] = 0.865
y2[1] (analytic) = 1.3513598843134190528162658986232
y2[1] (numeric) = 1.3513312086017163000040469854997
absolute error = 2.86757117027528122189131235e-05
relative error = 0.0021219892669318052331374841443351 %
h = 0.001
y1[1] (analytic) = 2.7610952636313662446575040901144
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2816697250271632443842161548988
relative error = 10.201376560137729528715058413238 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.866
y2[1] (analytic) = 1.3521213037702320314180436145485
y2[1] (numeric) = 1.3520922255893732590772604421422
absolute error = 2.90781808587723407831724063e-05
relative error = 0.0021505600701424669638570718799273 %
h = 0.001
y1[1] (analytic) = 2.7617435230913460416807304031469
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2823179844871430414074424679313
relative error = 10.222454841539071966426635633953 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.867
y2[1] (analytic) = 1.3528833711056872498982370947791
y2[1] (numeric) = 1.3528538859110470172113506039469
absolute error = 2.94851946402326868864908322e-05
relative error = 0.0021794335912440824480018370787399 %
h = 0.001
y1[1] (analytic) = 2.7623910208078662259827233600927
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2829654822036632257094354248771
relative error = 10.24349847911500454912466996698 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.868
y2[1] (analytic) = 1.3536460855577174363072370302028
y2[1] (numeric) = 1.3536161887656780268692928701839
absolute error = 2.98967920394094379441600189e-05
relative error = 0.0022086121592921108940662394679352 %
h = 0.001
y1[1] (analytic) = 2.763037756133429135001439903703
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2836122175292261347281519684874
relative error = 10.264507493596851564966009463156 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.1MB, time=46.69
NO POLE
NO POLE
x[1] = 0.869
y2[1] (analytic) = 1.3544094463636082021743925623504
y2[1] (numeric) = 1.3543791333513291579521722674072
absolute error = 3.03130122790442222202949432e-05
relative error = 0.0022380981143058503081326309255771 %
h = 0.001
y1[1] (analytic) = 2.7636837284212994970685796823498
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2842581898170964967952917471342
relative error = 10.28548190568366704424749909902 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.87
y2[1] (analytic) = 1.3551734527599988052223361945172
y2[1] (numeric) = 1.3551427188651856977991834494546
absolute error = 3.07338948131074231527450626e-05
relative error = 0.0022678938072844904958831486239993 %
h = 0.001
y1[1] (analytic) = 2.7643289370255050781448028237228
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2849033984213020778715148885072
relative error = 10.306421736042240654437875647675 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.871
y2[1] (analytic) = 1.3559381039828829127276624557362
y2[1] (numeric) = 1.3559069445035553511876306974479
absolute error = 3.11594793275615400317582883e-05
relative error = 0.002298001600223109518219438671039 %
h = 0.001
y1[1] (analytic) = 2.7649733813008373277919101431513
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2855478426966343275186222079357
relative error = 10.327327005307103639111816069062 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.872
y2[1] (analytic) = 1.3567033992676093655271969569926
y2[1] (numeric) = 1.3566718094618682403329279197928
absolute error = 3.15898057411251942690371998e-05
relative error = 0.0023284238661286138588134094002523 %
h = 0.001
y1[1] (analytic) = 2.7656170606028520243813398144258
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2861915219986490241080518792102
relative error = 10.348197734080534800474634016756 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.1MB, time=47.23
NO POLE
NO POLE
x[1] = 0.873
y2[1] (analytic) = 1.3574693378488829426690918334692
y2[1] (numeric) = 1.3574373129346769048885986521787
absolute error = 3.20249142060377804931812905e-05
relative error = 0.0023591629890356225622424938330489 %
h = 0.001
y1[1] (analytic) = 2.7662599742878699195383352946765
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2868344356836669192650473594609
relative error = 10.369033942932566525167265589351 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.874
y2[1] (analytic) = 1.3582359189607651267079829217956
y2[1] (numeric) = 1.358203454115656301946276057579
absolute error = 3.24648451088247617068642166e-05
relative error = 0.0023902213640222956016845764598603 %
h = 0.001
y1[1] (analytic) = 2.7669021217129773818211400591947
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2874765831087743815478521239791
relative error = 10.389835652400990853042328241819 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.875
y2[1] (analytic) = 1.359003141836674869643443377204
y2[1] (numeric) = 1.3589702321976038060357029262511
absolute error = 3.29096390710636077404509529e-05
relative error = 0.0024216013972261067354608579910966 %
h = 0.001
y1[1] (analytic) = 2.7675435022360270396345754670545
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2881179636318240393612875318389
relative error = 10.410602882991365588603175826304 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.876
y2[1] (analytic) = 1.3597710057093893595009677922045
y2[1] (numeric) = 1.359737646372439209124731675736
absolute error = 3.33593369501503762361164685e-05
relative error = 0.0024533055058595611120195455306458 %
h = 0.001
y1[1] (analytic) = 2.768184115215638423377358844013
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2887585766114354231040709087974
relative error = 10.431335655177020454799008063334 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.1MB, time=47.77
NO POLE
NO POLE
x[1] = 0.877
y2[1] (analytic) = 1.3605395098110447875547202358586
y2[1] (numeric) = 1.3605056958312047206193243508589
absolute error = 3.38139798400669353958849997e-05
relative error = 0.0024853361182258578832494132351562 %
h = 0.001
y1[1] (analytic) = 2.7688239600111986068225196354215
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2893984214069956065492317002059
relative error = 10.452033989399063288870224363298 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.878
y2[1] (analytic) = 1.3613086533731371161912789909656
y2[1] (numeric) = 1.3612743797640649673635526237286
absolute error = 3.42736090721488277263672370e-05
relative error = 0.0025176956737344980863000316551577 %
h = 0.001
y1[1] (analytic) = 2.769463035982862847730272248788
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2900374973786598474569843135724
relative error = 10.472697906066386279939339835383 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.879
y2[1] (analytic) = 1.3620784356265228474136101254846
y2[1] (numeric) = 1.362043697360306993639597793738
absolute error = 3.47382662158537740123317466e-05
relative error = 0.0025503866229168380543648619668533 %
h = 0.001
y1[1] (analytic) = 2.7701013424915552276927049731688
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2906758038873522274194170379532
relative error = 10.493327425555672248043905546588 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.88
y2[1] (analytic) = 1.3628488558014197919845013942779
y2[1] (numeric) = 1.3628136478083402611677507875638
absolute error = 3.52079930795308167506067141e-05
relative error = 0.0025834114274415886171545043734306 %
h = 0.001
y1[1] (analytic) = 2.770738878898969291209645130756
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2913133402947662909363571955404
relative error = 10.513922568211400964308995638046 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=347.1MB, alloc=4.1MB, time=48.30
x[1] = 0.881
y2[1] (analytic) = 1.3636199131274078392086873278103
y2[1] (numeric) = 1.3635842302956966491064121591666
absolute error = 3.56828317111901022751686437e-05
relative error = 0.0026167725601302603520502293126728 %
h = 0.001
y1[1] (analytic) = 2.771375644567568683995061384847
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2919501059633656837217734496314
relative error = 10.534483354345855511957940779423 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.882
y2[1] (analytic) = 1.3643916068334297273528957257406
y2[1] (numeric) = 1.3643554440090304540520920897908
absolute error = 3.61628243992733008036359498e-05
relative error = 0.0026504725049725551471825544073256 %
h = 0.001
y1[1] (analytic) = 2.772011638860587790513364897848
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2925861002563847902400769626324
relative error = 10.555009804239128687861100655412 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.883
y2[1] (analytic) = 1.3651639361477918147030451354242
y2[1] (numeric) = 1.3651272881341183900394103879648
absolute error = 3.66480136734246636347474594e-05
relative error = 0.0026845137571417043379261109216032 %
h = 0.001
y1[1] (analytic) = 2.7726468611420323707449718030637
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2932213225378293704716838678481
relative error = 10.575501938139129444323577741384 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.884
y2[1] (analytic) = 1.3659369002981648512578222581931
y2[1] (numeric) = 1.3658997618558595885410964895008
absolute error = 3.71384423052627167257686923e-05
relative error = 0.0027188988230097536785404201457215 %
h = 0.001
y1[1] (analytic) = 2.7732813107766801961804902247626
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.293855772172477195907202289547
relative error = 10.59595977626158937081388054835 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.885
y2[1] (analytic) = 1.3667104985115847510578675899006
y2[1] (numeric) = 1.3666728643582755984679894574949
absolute error = 3.76341533091525898781324057e-05
relative error = 0.0027536302201627954109165229781706 %
h = 0.001
y1[1] (analytic) = 2.7739149871300816850428958523849
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2944894485258786847696079171693
relative error = 10.616383338790069215336646811076 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.1MB, time=48.84
NO POLE
NO POLE
x[1] = 0.886
y2[1] (analytic) = 1.3674847300144533651497969666091
y2[1] (numeric) = 1.3674465948245103861690379823271
absolute error = 3.81351899429789807589842820e-05
relative error = 0.0027887104774161476926117251709544 %
h = 0.001
y1[1] (analytic) = 2.7745478895685605367370608467703
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2951223509643575364637729115547
relative error = 10.636772645875965445153635767425 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.887
y2[1] (analytic) = 1.3682595940325392551842860514642
y2[1] (numeric) = 1.3682209524368303354313003816613
absolute error = 3.86415957089197529856698029e-05
relative error = 0.0028241421348294816465690862185784 %
h = 0.001
y1[1] (analytic) = 2.7751800174592143655260016289292
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2957544788550113652527136937136
relative error = 10.65712771763851684655829374219 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.888
y2[1] (analytic) = 1.3690350897909784676474441647341
y2[1] (numeric) = 1.3689959363766242474799446004453
absolute error = 3.91534143542201674995642888e-05
relative error = 0.0028599277437218962951247416456214 %
h = 0.001
y1[1] (analytic) = 2.7758113701699153334332118751625
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2963858315657123331599239399469
relative error = 10.677448574164811163410288715048 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.889
y2[1] (analytic) = 1.369811216514275308724703225707
y2[1] (numeric) = 1.3697715458244033409782482109108
absolute error = 3.96706898719677464550147962e-05
relative error = 0.0028960698666869416411047568716082 %
h = 0.001
y1[1] (analytic) = 2.7764419470693107823704478162497
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2970164084651077820971598810341
relative error = 10.697735235509791774137497429935 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.1MB, time=49.37
NO POLE
NO POLE
x[1] = 0.89
y2[1] (analytic) = 1.3705879734263031197964469426198
y2[1] (numeric) = 1.3705477799598012520275984125733
absolute error = 4.01934665018677688485300465e-05
relative error = 0.0029325710776075901590040150150705 %
h = 0.001
y1[1] (analytic) = 2.7770717475268238654903337129732
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2976462089226208652170457777576
relative error = 10.717987721696264406914012902407 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.891
y2[1] (analytic) = 1.3713653597503050535646047550548
y2[1] (numeric) = 1.3713246379615740341674920322322
absolute error = 4.07217887310193971127228226e-05
relative error = 0.0029694339616711569594226919176601 %
h = 0.001
y1[1] (analytic) = 2.7777007709126541777631561554249
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2982752323084511774898682202093
relative error = 10.738206052714903892723820912406 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.892
y2[1] (analytic) = 1.3721433747088948508094344022757
y2[1] (numeric) = 1.3721021190076001583755355239708
absolute error = 4.12557012946924338988783049e-05
relative error = 0.0030066611153841688901112183991739 %
h = 0.001
y1[1] (analytic) = 2.7783290165977783857772166093547
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2989034779935753855039286741391
relative error = 10.758390248524260956020871242713 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.893
y2[1] (analytic) = 1.3729220175240576177757163607833
y2[1] (numeric) = 1.3728802222748805130674449691562
absolute error = 4.17952491771047082713916271e-05
relative error = 0.0030442551465871828371423221673176 %
h = 0.001
y1[1] (analytic) = 2.7789564839539508567621124092591
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.2995309453497478564888244740435
relative error = 10.77854032905076904269734304801 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.1MB, time=49.90
NO POLE
NO POLE
x[1] = 0.894
y2[1] (analytic) = 1.373701287417150604187582764963
y2[1] (numeric) = 1.3736589469395384040970460764396
absolute error = 4.23404776122000905366885234e-05
relative error = 0.0030822186744695534898888302642356 %
h = 0.001
y1[1] (analytic) = 2.7795831723537042868343171749836
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.300157633749501286561029239768
relative error = 10.798656314188751185072973826444 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.895
y2[1] (analytic) = 1.3744811836089039818912027960585
y2[1] (numeric) = 1.3744382921768195547562741817559
absolute error = 4.28914320844271349286143026e-05
relative error = 0.0031205543295841508336384463977891 %
h = 0.001
y1[1] (analytic) = 2.780209081170350328464432406308
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3007835425661473281911444710924
relative error = 10.818738223800426903619388024426 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.896
y2[1] (analytic) = 1.3752617053194216241245458968532
y2[1] (numeric) = 1.375218257161092105775174248324
absolute error = 4.34481583295183493716485292e-05
relative error = 0.0031592647538620276338217461811062 %
h = 0.001
y1[1] (analytic) = 2.7808342097779802171654827883184
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3014086711737772168921948531028
relative error = 10.838786077715919145134424346859 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.897
y2[1] (analytic) = 1.3760428517681818854134435423582
y2[1] (numeric) = 1.3759988410658466153219008666465
absolute error = 4.40107023352700915426757117e-05
relative error = 0.003198352600627037175967206373929 %
h = 0.001
y1[1] (analytic) = 2.7814585575514653974016285193201
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3020330189472623971283405841045
relative error = 10.858799895733261257082520378351 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=362.4MB, alloc=4.1MB, time=50.42
x[1] = 0.898
y2[1] (analytic) = 1.3768246221740383820931696705131
y2[1] (numeric) = 1.3767800430636960590027182545101
absolute error = 4.45791103423230904514160030e-05
relative error = 0.0032378205346104015256272518532279 %
h = 0.001
y1[1] (analytic) = 2.7820821238664581477166687526331
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3026565852622551474433808174175
relative error = 10.878779697618403997818269157053 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.899
y2[1] (analytic) = 1.3776070157552207734547592513822
y2[1] (numeric) = 1.3775618623263758298620002569853
absolute error = 4.51534288449435927589943969e-05
relative error = 0.0032776712319652305726421149445733 %
h = 0.001
y1[1] (analytic) = 2.7827049080993922050817110238177
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3032793694951892048084230886021
relative error = 10.898725503105222582411314890871 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.9
y2[1] (analytic) = 1.3783900317293355435152838485929
y2[1] (numeric) = 1.3783442980247437383822303464265
absolute error = 4.57337045918051330535021664e-05
relative error = 0.0033179073802809921242238059049881 %
h = 0.001
y1[1] (analytic) = 2.7833269096274833884613823157136
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.303901371023280388188094380498
relative error = 10.91863733189552376379180407652 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.901
y2[1] (analytic) = 1.3791736693133667834113024028072
y2[1] (numeric) = 1.3791273493287800124840016224719
absolute error = 4.63199845867709273007803353e-05
relative error = 0.003358531678597933311450740195672 %
h = 0.001
y1[1] (analytic) = 2.7839481278287302215979581951327
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3045225892245272213246702599171
relative error = 10.938515203659052948936653884742 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=366.2MB, alloc=4.1MB, time=50.95
x[1] = 0.902
y2[1] (analytic) = 1.3799579277236769744147048438388
y2[1] (numeric) = 1.3799110154075872975260168120436
absolute error = 4.69123160896768886880317952e-05
relative error = 0.0033995468374214535738646063045143 %
h = 0.001
y1[1] (analytic) = 2.7845685620819145550127872371293
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3051430234777115547394993019137
relative error = 10.958359138033501349817941820303 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.903
y2[1] (analytic) = 1.380742806176007771570165515639
y2[1] (numeric) = 1.3806952954293906563050882693477
absolute error = 4.75107466171152650772462913e-05
relative error = 0.0034409555787364294869549376219319 %
h = 0.001
y1[1] (analytic) = 2.7851882117666021872243887354735
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3057626731623991869511008002579
relative error = 10.978169154624513168835759362738 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.904
y2[1] (analytic) = 1.3815283038854807879534227767624
y2[1] (numeric) = 1.3814801885615375690561379758741
absolute error = 4.81153239432188972848008883e-05
relative error = 0.0034827606360214916974036213404125 %
h = 0.001
y1[1] (analytic) = 2.7858070762631434851826024812843
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3063815376589404849093145460687
relative error = 10.997945273005692818458907553547 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.905
y2[1] (analytic) = 1.3823144200665983795496005180982
y2[1] (numeric) = 1.3822656939704979334521975403965
absolute error = 4.87260961004460974029777017e-05
relative error = 0.003524964754263254231041286282557 %
h = 0.001
y1[1] (analytic) = 2.7864251549526740039181701757212
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3069996163484710036448822405056
relative error = 11.017687512718612174797844327024 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.906
y2[1] (analytic) = 1.3831011539332444307507867196122
y2[1] (numeric) = 1.3830518108218640646044081989727
absolute error = 4.93431113803661463785206395e-05
relative error = 0.0035675706899704964385402089163683 %
h = 0.001
y1[1] (analytic) = 2.787042447217115105407128827208
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3076169086129121051338408919924
relative error = 11.037395893272817864835321795661 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=370.0MB, alloc=4.1MB, time=51.49
NO POLE
NO POLE
x[1] = 0.907
y2[1] (analytic) = 1.3838885046986851404720835485838
y2[1] (numeric) = 1.3838385382803506950620208149442
absolute error = 4.99664183344454100627336396e-05
relative error = 0.0036105812111882978439341111283062 %
h = 0.001
y1[1] (analytic) = 2.7876589524391745766493972688437
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3082334138349715763761093336281
relative error = 11.057070434145838587041176706266 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.908
y2[1] (analytic) = 1.3846764715755698088853428833566
y2[1] (numeric) = 1.3846258755097949748123958789364
absolute error = 5.05960657748340729470044202e-05
relative error = 0.0036539990975121261611140442286045 %
h = 0.001
y1[1] (analytic) = 2.7882746700023472469609377174681
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3088491313981442466876497822525
relative error = 11.076711154783192465098758890113 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.909
y2[1] (analytic) = 1.3854650537759316247698005289301
y2[1] (numeric) = 1.3854138216731564712810035088587
absolute error = 5.12321027751534887970200714e-05
relative error = 0.0036978271401018787435015089859226 %
h = 0.001
y1[1] (analytic) = 2.78888959929091560447887508227
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3094640606867126042055871470544
relative error = 11.096318074598394434471500748796 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.91
y2[1] (analytic) = 1.3862542505111884534788217738253
y2[1] (numeric) = 1.3862023759325171693314234499043
absolute error = 5.18745786712841473983239210e-05
relative error = 0.0037420681416958777321451009872436 %
h = 0.001
y1[1] (analytic) = 2.7895037396899504118789575178716
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.310078201085747411605669582656
relative error = 11.115891212972963661539145657316 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=373.8MB, alloc=4.1MB, time=52.04
NO POLE
NO POLE
x[1] = 0.911
y2[1] (analytic) = 1.3870440609921436255219703215436
y2[1] (numeric) = 1.3869915374490814712653450745503
absolute error = 5.25235430621542566252469933e-05
relative error = 0.0037867249166248191675253419518873 %
h = 0.001
y1[1] (analytic) = 2.7901170905853113213047425044789
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3106915519811083210314545692633
relative error = 11.135430589256430995034164636675 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.912
y2[1] (analytic) = 1.387834484428986725761612014616
y2[1] (numeric) = 1.3877813053831761968225673825577
absolute error = 5.31790458105289390446320583e-05
relative error = 0.0038318002908256763303840101555054 %
h = 0.001
y1[1] (analytic) = 2.7907296513636474885078935259636
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.311304112759444488234605590748
relative error = 11.154936222766346449509898759956 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.913
y2[1] (analytic) = 1.3886255200312943832232641547054
y2[1] (numeric) = 1.3885716788942505831809990009713
absolute error = 5.38411370438000422651537341e-05
relative error = 0.0038772971018555575769192648285204 %
h = 0.001
y1[1] (analytic) = 2.7913414214123981861989732056309
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3119158828081951859256852704153
relative error = 11.174408132788286720572969518052 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.914
y2[1] (analytic) = 1.3894171670080310615189006084766
y2[1] (numeric) = 1.3893626571408762849566581841199
absolute error = 5.45098671547765622424243567e-05
relative error = 0.0039232181989055189337062185612165 %
h = 0.001
y1[1] (analytic) = 2.7919524001197934166081195489314
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3125268615155904163348316137158
relative error = 11.193846338575862731613500793778 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.1MB, time=52.56
NO POLE
NO POLE
x[1] = 0.915
y2[1] (analytic) = 1.390209424567549849882422275997
y2[1] (numeric) = 1.3901542392807473742036728136161
absolute error = 5.51852868024756787494623809e-05
relative error = 0.0039695664428143317177143974916586 %
h = 0.001
y1[1] (analytic) = 2.7925625868748545232549927324916
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.313137048270651522981704797276
relative error = 11.213250859350727211767694185639 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.916
y2[1] (analytic) = 1.3910022919175932548165018862618
y2[1] (numeric) = 1.3909464244706803404142803983564
absolute error = 5.58674469129144022214879054e-05
relative error = 0.0040163447060822054467987882157857 %
h = 0.001
y1[1] (analytic) = 2.7931719810673948019273806695674
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3137464424631918016540927343518
relative error = 11.232621714302582304848294194797 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.917
y2[1] (analytic) = 1.3917957682652939923500114730661
y2[1] (numeric) = 1.3917392118666140905188280745212
absolute error = 5.65563986799018311833985449e-05
relative error = 0.0040635558728844663060399524737788 %
h = 0.001
y1[1] (analytic) = 2.7937805820880201108678523733656
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.31435504348381711059456443815
relative error = 11.251958922589187208979471250428 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.918
y2[1] (analytic) = 1.3925898528171757809052402738607
y2[1] (numeric) = 1.3925326006236099488857726055748
absolute error = 5.72521935658320194676682859e-05
relative error = 0.0041112028390851914353010425416041 %
h = 0.001
y1[1] (analytic) = 2.7943883893281294801678489316321
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3149628507239264798945609964165
relative error = 11.271262503336365846673638709412 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=381.4MB, alloc=4.1MB, time=53.09
x[1] = 0.919
y2[1] (analytic) = 1.3933845447791541347741101844421
y2[1] (numeric) = 1.3933265898958516573216803822653
absolute error = 5.79548833024774524298021768e-05
relative error = 0.00415928851225079930335552090107 %
h = 0.001
y1[1] (analytic) = 2.7949954021799157203686026984643
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3155698635757127200953147632487
relative error = 11.290532475638014565088704835516 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.92
y2[1] (analytic) = 1.3941798433565371582025952933256
y2[1] (numeric) = 1.3941211788366453750712274226249
absolute error = 5.86645198917831313678707007e-05
relative error = 0.0042078158116635964339190237932363 %
h = 0.001
y1[1] (analytic) = 2.7956016200363660302682761024816
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.316176081432163029994988167266
relative error = 11.309768858556109866205242351083 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.921
y2[1] (analytic) = 1.3949757477540263400825514114488
y2[1] (numeric) = 1.3949163665984196788171993719694
absolute error = 5.93811556066612653520394794e-05
relative error = 0.0042567876683352807488921586776386 %
h = 0.001
y1[1] (analytic) = 2.7962070422912626039347122642647
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3167815036870596036614243290491
relative error = 11.328971671120716166664036469614 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.922
y2[1] (analytic) = 1.3957722571757173492501609054418
y2[1] (numeric) = 1.3957121523327255626804915028986
absolute error = 6.01048429917865696694025432e-05
relative error = 0.0043062070250204017940881368280621 %
h = 0.001
y1[1] (analytic) = 2.7968116683391832369231904103635
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3173861297349802366499024751479
relative error = 11.348140932329993587005447370691 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.923
y2[1] (analytic) = 1.3965693708251008303901975360864
y2[1] (numeric) = 1.3965085351902364382201087152963
absolute error = 6.08356348643921700888207901e-05
relative error = 0.0043560768362297781126800629817708 %
h = 0.001
y1[1] (analytic) = 2.797415497575501931698579866169
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3179899589712989314252919309534
relative error = 11.367276661150205770052994878714 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=385.2MB, alloc=4.1MB, time=53.62
NO POLE
NO POLE
x[1] = 0.924
y2[1] (analytic) = 1.3973670879050632005453153977649
y2[1] (numeric) = 1.39730551432074813443316553633
absolute error = 6.15735843150661121498614349e-05
relative error = 0.0044064000682438720315574804165989 %
h = 0.001
y1[1] (analytic) = 2.7980185293963895022612872055464
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3185929907921865019879992703308
relative error = 11.386378876515727728184541663484 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.925
y2[1] (analytic) = 1.3981654076178874462295654496762
y2[1] (numeric) = 1.3981030888731788977548861204512
absolute error = 6.23187447085484746793292250e-05
relative error = 0.0044571796991261221257304501497589 %
h = 0.001
y1[1] (analytic) = 2.7986207631988141779763919313308
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3191952245946111777031039961152
relative error = 11.40544759732905371923541660328 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.926
y2[1] (analytic) = 1.3989643291652539211453425253694
y2[1] (numeric) = 1.3989012579955693920586042493953
absolute error = 6.30711696845290867382759741e-05
relative error = 0.004508418718736233625862074197712 %
h = 0.001
y1[1] (analytic) = 2.7992221983805422066053668576022
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3197966597763392063320789223866
relative error = 11.424482842460805150778782049361 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.927
y2[1] (analytic) = 1.3997638517482411445029651037137
y2[1] (numeric) = 1.3997000208350826986557633321815
absolute error = 6.38309131584458472017715322e-05
relative error = 0.0045601201287434270339470016790272 %
h = 0.001
y1[1] (analytic) = 2.7998228343401384565397801620681
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3203972957359354562664922268525
relative error = 11.443484630749738512529507614047 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=389.1MB, alloc=4.1MB, time=54.16
NO POLE
NO POLE
x[1] = 0.928
y2[1] (analytic) = 1.4005639745673265999420895217925
y2[1] (numeric) = 1.4004993765380043162959164051129
absolute error = 6.45980293222836461731166796e-05
relative error = 0.0046122869426396452120841305883115 %
h = 0.001
y1[1] (analytic) = 2.8004226704769670182363768749028
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3209971318727640179630889396872
relative error = 11.462452981002753336618768782354 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.929
y2[1] (analytic) = 1.4013646968223875350541597083728
y2[1] (numeric) = 1.4012993242497421611667261317765
absolute error = 6.53725726453738874335765963e-05
relative error = 0.0046649221857527192092164835975168 %
h = 0.001
y1[1] (analytic) = 2.8010217061911918048529383690117
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3215961675869888045796504337961
relative error = 11.481387911994900185487541128929 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.93
y2[1] (analytic) = 1.402166017712701761505092915567
y2[1] (numeric) = 1.4020998631148265668939648030432
absolute error = 6.61545978751946111281125238e-05
relative error = 0.004718028895259493090630140504899 %
h = 0.001
y1[1] (analytic) = 2.8016199408837771520843192159106
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.322194402279574151811031280695
relative error = 11.500289442469388667148110217096 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.931
y2[1] (analytic) = 1.4029679364369484557574013260696
y2[1] (numeric) = 1.4029009922769102845415143370677
absolute error = 6.69441600381712158869890019e-05
relative error = 0.0047716101201989080349171994183979 %
h = 0.001
y1[1] (analytic) = 2.8022173739564884171980615712348
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3227918353522854169247736360192
relative error = 11.519157591137595477563663374874 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.1MB, time=54.68
NO POLE
NO POLE
x[1] = 0.932
y2[1] (analytic) = 1.4037704521932089603909488139114
y2[1] (numeric) = 1.4037027108787684826113662792888
absolute error = 6.77413144404777795825346226e-05
relative error = 0.0048256689214850459630150594826382 %
h = 0.001
y1[1] (analytic) = 2.802814004811892577268988054311
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3233884662076895769957001190954
relative error = 11.537992376679072469896972492766 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.933
y2[1] (analytic) = 1.4045735641789675860215415380431
y2[1] (numeric) = 1.4045050180622987470436218024289
absolute error = 6.85461166688389779197356142e-05
relative error = 0.0048802083719201329638359175642019 %
h = 0.001
y1[1] (analytic) = 2.8034098328533588266121748872515
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3239842942491558263388869520359
relative error = 11.556793817741554750380116779881 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.934
y2[1] (analytic) = 1.4053772715911124138165504502244
y2[1] (numeric) = 1.4053079129685210812164917064945
absolute error = 6.93586225913326000587437299e-05
relative error = 0.0049352315562075027808962945319309 %
h = 0.001
y1[1] (analytic) = 2.8040048574850591734137078606457
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3245793188808561731404199254301
relative error = 11.575561932940968800558131057383 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.935
y2[1] (analytic) = 1.4061815736259360986067632016613
y2[1] (numeric) = 1.4061113947375779059462964187759
absolute error = 7.01788883581926604667828854e-05
relative error = 0.0049907415709645206242467010835705 %
h = 0.001
y1[1] (analytic) = 2.8045990781119690355586244951433
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3251735395077660352853365599277
relative error = 11.594296740861440625660398671 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.1MB, time=55.22
NO POLE
NO POLE
x[1] = 0.936
y2[1] (analytic) = 1.4069864694791366725936623366093
y2[1] (numeric) = 1.4069154625087340594874659938472
absolute error = 7.10069704026131061963427621e-05
relative error = 0.0050467415247354675718862639832572 %
h = 0.001
y1[1] (analytic) = 2.8051924941398678356554465710368
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3257669555356648353821586358212
relative error = 11.612998260055303928854538476572 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.937
y2[1] (analytic) = 1.4077919583458183496513260657285
y2[1] (numeric) = 1.4077201154203767975325401135666
absolute error = 7.18429254415521187859521619e-05
relative error = 0.0051032345380043858247263066516295 %
h = 0.001
y1[1] (analytic) = 2.8057851049753395952567080013595
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3263595663711365949834200661439
relative error = 11.631666509043108311138462603602 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.938
y2[1] (analytic) = 1.4085980394204923302221473173594
y2[1] (numeric) = 1.4085253526100157932121680870759
absolute error = 7.26868104765370099792302835e-05
relative error = 0.0051602237432078850790405602837944 %
h = 0.001
y1[1] (analytic) = 2.8063769100257735282748838280223
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3269513714215705280015958928067
relative error = 11.650301506313627496627205840977 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.939
y2[1] (analytic) = 1.409404711897077606805566171065
y2[1] (numeric) = 1.4093311732142831370951088508011
absolute error = 7.35386827944697104573202639e-05
relative error = 0.0052177122847479102802079169546533 %
h = 0.001
y1[1] (analytic) = 2.8069679086993646335931269251073
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3275423700951616333198389898917
relative error = 11.668903270323867582992048525319 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=400.5MB, alloc=4.1MB, time=55.76
x[1] = 0.94
y2[1] (analytic) = 1.410211974968901770039010184776
y2[1] (numeric) = 1.4101375763689333371882309684518
absolute error = 7.43985999684328507792163242e-05
relative error = 0.0052757033190044710214164722786123 %
h = 0.001
y1[1] (analytic) = 2.8075581004051142868702197986342
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3281325618009112865969318634186
relative error = 11.687471819499075316810372755571 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.941
y2[1] (analytic) = 1.4110198278287018153702365346646
y2[1] (numeric) = 1.4109445612088433189365126310217
absolute error = 7.52666198584964337239036429e-05
relative error = 0.0053342000143483328508550851750378 %
h = 0.001
y1[1] (analytic) = 2.8081474845528308315391496778929
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3287219459486278312658617426773
relative error = 11.706007172232746393585606615963 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.942
y2[1] (analytic) = 1.4118282696686249503202692954725
y2[1] (numeric) = 1.4117521268680124252230416567882
absolute error = 7.61428006125250972276386843e-05
relative error = 0.0053932055511536707507708536609158 %
h = 0.001
y1[1] (analytic) = 2.8087360605531301689987158998209
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3293105219489271687254279646053
relative error = 11.724509346886633782197522873436 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.943
y2[1] (analytic) = 1.4126372996802294023361245984231
y2[1] (numeric) = 1.4125602724795624163690154913127
absolute error = 7.70272006669859671091071104e-05
relative error = 0.0054527231218106850516178117851727 %
h = 0.001
y1[1] (analytic) = 2.8093238278174363479975793948635
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3298982892132333477242914596479
relative error = 11.742978361790756073544067333187 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.944
y2[1] (analytic) = 1.41344691705448522723251581406
y2[1] (numeric) = 1.4133689971757374701337412074405
absolute error = 7.79198787477570987746066195e-05
relative error = 0.0055127559307381800443638400887794 %
h = 0.001
y1[1] (analytic) = 2.8099107857579821532101648903185
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3304852471537791529368769551029
relative error = 11.761414235243405853136797697275 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.1MB, time=56.28
NO POLE
NO POLE
x[1] = 0.945
y2[1] (analytic) = 1.4142571209817751182217303183736
y2[1] (numeric) = 1.4141783000879041817146355053007
absolute error = 7.88208938709365070948130729e-05
relative error = 0.0055733071943961055538592944418141 %
h = 0.001
y1[1] (analytic) = 2.8104969337878096930038272553123
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3310713951836066927305393200967
relative error = 11.779816985511158097412916384683 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.946
y2[1] (analytic) = 1.4150679106518952155308688124071
y2[1] (numeric) = 1.4149881803465515637472247123064
absolute error = 7.97303053436517836441001007e-05
relative error = 0.0056343801412980617360022410806168 %
h = 0.001
y1[1] (analytic) = 2.8110822713207709863966942202884
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3316567327165679861234062850728
relative error = 11.798186630828878593527780346215 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.947
y2[1] (analytic) = 1.4158792852540559166056375781701
y2[1] (numeric) = 1.4157986370812910463051447831544
absolute error = 8.06481727648703004927950157e-05
relative error = 0.005695978012023767361261483538656 %
h = 0.001
y1[1] (analytic) = 2.8116667977715285492055985132169
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3322412591673255489323105780013
relative error = 11.816523189399732382392667453412 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.948
y2[1] (analytic) = 1.4166912439768826868998834671338
y2[1] (numeric) = 1.4166096694208564769001412998256
absolute error = 8.15745560262099997421673082e-05
relative error = 0.0057581040592314918469398242224018 %
h = 0.001
y1[1] (analytic) = 2.8122505125555559793835132646391
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3328249739513529791102253294235
relative error = 11.834826679395192224723472565874 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.1MB, time=56.81
NO POLE
NO POLE
x[1] = 0.949
y2[1] (analytic) = 1.4175037860084168712500608318425
y2[1] (numeric) = 1.4174212764931041204820694715846
absolute error = 8.25095153127507679913602579e-05
relative error = 0.005820761547670451300376264939532 %
h = 0.001
y1[1] (analytic) = 2.8128334150891385415459053441629
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3334078764849355412726174089473
relative error = 11.853097118955047089866896895646 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.95
y2[1] (analytic) = 1.4183169105361165058338190262395
y2[1] (numeric) = 1.41823345742501265943889413498
absolute error = 8.34531111038463949248912595e-05
relative error = 0.005883953754193168835097159343248 %
h = 0.001
y1[1] (analytic) = 2.8134155047893737506854221021026
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.333989966185170750412134166887
relative error = 11.871334526187410667171581799125 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.951
y2[1] (analytic) = 1.4191306167468571307118985161905
y2[1] (numeric) = 1.4190462113426831935966897538442
absolute error = 8.44054041739371152087623463e-05
relative error = 0.0059476839677677994217327322152883 %
h = 0.001
y1[1] (analytic) = 2.8139967810741719550743278016264
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3345712424699689548010398664108
relative error = 11.889538919168729899672522645768 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.952
y2[1] (analytic) = 1.419944903826932602952523058373
y2[1] (numeric) = 1.4198595373713392402196404192936
absolute error = 8.53664555933627328826390794e-05
relative error = 0.0060119554894904195353169174550268 %
h = 0.001
y1[1] (analytic) = 2.8145772433622569183541068390228
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3351517047580539180808189038072
relative error = 11.907710315943793539857979947351 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=411.9MB, alloc=4.1MB, time=57.34
NO POLE
NO POLE
x[1] = 0.953
y2[1] (analytic) = 1.4207597709620559103374748232099
y2[1] (numeric) = 1.4206734346353267340100398497283
absolute error = 8.63363267291763274349734816e-05
relative error = 0.0060767716325972818603851846564342 %
h = 0.001
y1[1] (analytic) = 2.815156891073166400811651662531
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3357313524689634005383637273154
relative error = 11.925848734525740727288983490874 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.954
y2[1] (analytic) = 1.4215752173373599856490387558386
y2[1] (numeric) = 1.4214879022581140271082913908325
absolute error = 8.73150792459585407473650061e-05
relative error = 0.0061421357224770353150769648552144 %
h = 0.001
y1[1] (analytic) = 2.8157357236272527398414541135974
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3363101850230497395681661783818
relative error = 11.943954192896069587842400811363 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.955
y2[1] (analytic) = 1.4223912421373985215370018882395
y2[1] (numeric) = 1.4223029393622918890929080155741
absolute error = 8.83027751066324440938726654e-05
relative error = 0.006208051096682910655236494663955 %
h = 0.001
y1[1] (analytic) = 2.8163137404456834295932197284128
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3368882018414804293199317931972
relative error = 11.962026709004645854349413976456 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.956
y2[1] (analytic) = 1.4232078445461467859648927355918
y2[1] (numeric) = 1.423118545069573506980512324205
absolute error = 8.92994765732789843804113868e-05
relative error = 0.0062745211049448719192884166295848 %
h = 0.001
y1[1] (analytic) = 2.8168909409504416998043253521668
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3374654023462386995310374169512
relative error = 11.980066300769711508402118342213 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=415.8MB, alloc=4.1MB, time=57.88
NO POLE
NO POLE
x[1] = 0.957
y2[1] (analytic) = 1.4240250237470024382346453306867
y2[1] (numeric) = 1.423934718500794485225836544261
absolute error = 9.03052462079530088087864257e-05
relative error = 0.0063415491091817339744423467327191 %
h = 0.001
y1[1] (analytic) = 2.8174673245643270938165412336083
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3380417859601240935432532983927
relative error = 11.998072986077893443101823687374 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.958
y2[1] (analytic) = 1.4248427789227863455888718718004
y2[1] (numeric) = 1.4247514587759128457217225305616
absolute error = 9.13201468734998671493412388e-05
relative error = 0.0064091384835132464245538893255963 %
h = 0.001
y1[1] (analytic) = 2.8180428907109560457764395832387
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3386173521067530455031516480231
relative error = 12.016046782784212146523501950666 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.959
y2[1] (analytic) = 1.4256611092557434003899273818234
y2[1] (numeric) = 1.4255687650140090277991217652104
absolute error = 9.23442417343725908056166130e-05
relative error = 0.0064772926142721441397382895727333 %
h = 0.001
y1[1] (analytic) = 2.8186176388147624570189123947776
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.339192100210559456745624459562
relative error = 12.033987708712090405671686691323 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.96
y2[1] (analytic) = 1.4264800139275433378749491996481
y2[1] (numeric) = 1.4263866363332858882270953575948
absolute error = 9.33775942574496478538420533e-05
relative error = 0.0065460149000161646675971057595336 %
h = 0.001
y1[1] (analytic) = 2.8191915683009982716332221464304
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3397660296967952713599342112148
relative error = 12.051895781653362030703987375677 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=419.6MB, alloc=4.1MB, time=58.42
x[1] = 0.961
y2[1] (analytic) = 1.4272994921192815544860535488458
y2[1] (numeric) = 1.4272050718510687012128140443861
absolute error = 9.44202682128532732395044597e-05
relative error = 0.0066153087515400327856780016780926 %
h = 0.001
y1[1] (analytic) = 2.8197646785957340512110098159569
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3403391399915310509377218807413
relative error = 12.069771019368280599199236671347 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.962
y2[1] (analytic) = 1.4281195430114799267748708535018
y2[1] (numeric) = 1.4280240706838051584015581895394
absolute error = 9.54723276747683733126639624e-05
relative error = 0.0066851775918874124545430447052243 %
h = 0.001
y1[1] (analytic) = 2.820336969125859548775685461578
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3409114305216565485023975263624
relative error = 12.087613439585528220248141113821 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.963
y2[1] (analytic) = 1.4289401657840876308806008967442
y2[1] (numeric) = 1.4288436319470653688767177842938
absolute error = 9.65338370222620038831124504e-05
relative error = 0.0067556248563628264305717914629204 %
h = 0.001
y1[1] (analytic) = 2.8209084393190842818926274393802
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3414829007148812816193395041646
relative error = 12.105423060002224318145154807288 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.964
y2[1] (analytic) = 1.4297613596164819625807683439772
y2[1] (numeric) = 1.4296637547555418591597924471722
absolute error = 9.76048609401034209758968050e-05
relative error = 0.0068266539925435437973719911640222 %
h = 0.001
y1[1] (analytic) = 2.8214790886039381049596171470655
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3420535499997351046863292118499
relative error = 12.123199898283934435461142240683 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.965
y2[1] (analytic) = 1.4305831236874691579138585801337
y2[1] (numeric) = 1.4304844382230495732103914239814
absolute error = 9.86854644195847034671561523e-05
relative error = 0.006898268460291435674412980022335 %
h = 0.001
y1[1] (analytic) = 2.8220489164097717806769370036593
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3426233778055687804036490684437
relative error = 12.140943972064679055277239850195 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.1MB, time=58.96
NO POLE
NO POLE
x[1] = 0.966
y2[1] (analytic) = 1.4314054571752852143730132383785
y2[1] (numeric) = 1.4313056814625258724262335878121
absolute error = 9.97757127593419467796505664e-05
relative error = 0.0069704717317647993612348195432425 %
h = 0.001
y1[1] (analytic) = 2.8226179221667575506965601951263
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3431923835625545504232722599107
relative error = 12.158655298946942442361166649562 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.967
y2[1] (analytic) = 1.4322283592575967126699642266353
y2[1] (numeric) = 1.432127483586030535643147439039
absolute error = 0.0001008756715661770268167875963
relative error = 0.0070432672914301511753199894470781 %
h = 0.001
y1[1] (analytic) = 2.8231861053058897054498615367527
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3437605667016867051765736015371
relative error = 12.176333896501681503068072088021 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.968
y2[1] (analytic) = 1.4330518291115016390683844880724
y2[1] (numeric) = 1.4329498437047457591350711053204
absolute error = 0.000101985406755879933313382752
relative error = 0.0071166586360739882414440238142973 %
h = 0.001
y1[1] (analytic) = 2.8237534652589851531532796246302
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3443279266547821528799916894146
relative error = 12.193979782268334663748844291454 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.969
y2[1] (analytic) = 1.4338758659135302082858331622636
y2[1] (numeric) = 1.4337727609289761566140523415988
absolute error = 0.0001031049845540516717808206648
relative error = 0.0071906492748145194900469179093747 %
h = 0.001
y1[1] (analytic) = 2.8243200014586839879913612706282
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3448944628544809877180733354126
relative error = 12.211592973754830767449634003948 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.1MB, time=59.49
NO POLE
NO POLE
x[1] = 0.97
y2[1] (analytic) = 1.4347004688396456869634722451501
y2[1] (numeric) = 1.4345962343681487592302485301003
absolute error = 0.0001042344714969277332237150498
relative error = 0.0072652427291133661218884754605367 %
h = 0.001
y1[1] (analytic) = 2.8248857133384500574766200378563
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3454601747342470572033321026407
relative error = 12.229173488437597988687178882994 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.971
y2[1] (analytic) = 1.4355256370652452177027312781524
y2[1] (numeric) = 1.4354202631308130155719266803351
absolute error = 0.0001053739344322021308045978173
relative error = 0.0073404425327872317959680511183883 %
h = 0.001
y1[1] (analytic) = 2.8254506003325715289856415168064
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3460250617283685287123535815908
relative error = 12.246721343761572766085339320889 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.972
y2[1] (analytic) = 1.4363513697651606436680960298383
y2[1] (numeric) = 1.4362448463246407916654634290972
absolute error = 0.0001065234405198520026326007411
relative error = 0.0074162522320195427974024139229138 %
h = 0.001
y1[1] (analytic) = 2.8260146618761614554708688061158
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3465891232719584551975808709002
relative error = 12.264236557140208752659080675839 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.973
y2[1] (analytic) = 1.4371776661136593337551965674268
y2[1] (numeric) = 1.4370699830564263709753450404644
absolute error = 0.0001076830572329627798515269624
relative error = 0.0074926753853720584416647533602899 %
h = 0.001
y1[1] (analytic) = 2.8265778974051583403475024862134
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3471523588009553400742145509978
relative error = 12.281719145955485783532957707705 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.1MB, time=60.03
NO POLE
NO POLE
x[1] = 0.974
y2[1] (analytic) = 1.4380045252844450083233695501071
y2[1] (numeric) = 1.4378956724320864544041674057986
absolute error = 0.0001088528523585539192021443085
relative error = 0.0075697155637964519712932120588079 %
h = 0.001
y1[1] (analytic) = 2.8271403063563267015549501989961
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3477147677521237012816622637805
relative error = 12.299169127557918860881975133604 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.975
y2[1] (analytic) = 1.4388319464506585654918690116816
y2[1] (numeric) = 1.4387219135566601602926360437453
absolute error = 0.0001100328939984051992329679363
relative error = 0.0076473763506458622008787988780274 %
h = 0.001
y1[1] (analytic) = 2.8277018881672576347922617721328
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3482763495630546345189738369172
relative error = 12.316586519266567155883513556413 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.976
y2[1] (analytic) = 1.4396599287848789079988993363884
y2[1] (numeric) = 1.4395487055343090244195661002342
absolute error = 0.0001112232505698835793332361542
relative error = 0.0077256613416864161658401521999133 %
h = 0.001
y1[1] (analytic) = 2.8282626422763693759269866526067
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3488371036721663756536987173911
relative error = 12.333971338369043027469822583032 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.977
y2[1] (analytic) = 1.4404884714591237706226435689417
y2[1] (numeric) = 1.4403760474683170000018823484786
absolute error = 0.0001124239908067706207612204631
relative error = 0.0078045741451087230301864279431046 %
h = 0.001
y1[1] (analytic) = 2.8288225681229078625768912406878
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3493970295187048623036033054722
relative error = 12.351323602121521057671392747765 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=434.8MB, alloc=4.1MB, time=60.56
NO POLE
NO POLE
x[1] = 0.978
y2[1] (analytic) = 1.4413175736448505481634596378282
y2[1] (numeric) = 1.4412039384610904576946191889758
absolute error = 0.0001136351837600904688404488524
relative error = 0.007884118381539339508159617741207 %
h = 0.001
y1[1] (analytic) = 2.8293816651469472948639745426626
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.349956126542744294590686607447
relative error = 12.368643327748747103342324897523 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.979
y2[1] (analytic) = 1.4421472345129571239864165097351
y2[1] (numeric) = 1.4420323776141581855909206495071
absolute error = 0.000114856898798938395495860228
relative error = 0.0079642976840522070543339023341458 %
h = 0.001
y1[1] (analytic) = 2.8299399327893906953402213883531
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3505143941851876950669334531375
relative error = 12.385930532444047364059619988651 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.98
y2[1] (analytic) = 1.4429774532337826991233417326401
y2[1] (numeric) = 1.4428613640281713892220403851375
absolute error = 0.0001160892056113099013013475026
relative error = 0.0080451156981800610764322508676532 %
h = 0.001
y1[1] (analytic) = 2.8304973704919704680845332877192
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3510718318877674678112453525036
relative error = 12.403185233369337465989113798188 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.981
y2[1] (analytic) = 1.4438082289771086219335512655861
y2[1] (numeric) = 1.4436908968029036915573416782159
absolute error = 0.0001173321742049303762095873702
relative error = 0.008126576081925812424799429825064 %
h = 0.001
y1[1] (analytic) = 2.8310539776972489569702778296585
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3516284390930459566969898944429
relative error = 12.420407447655131561511579873773 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=438.7MB, alloc=4.1MB, time=61.09
x[1] = 0.982
y2[1] (analytic) = 1.4446395609121592183224319344801
y2[1] (numeric) = 1.4445209750372511330042974383752
absolute error = 0.0001185858749080853181344961049
relative error = 0.0082086825057739014121459242838527 %
h = 0.001
y1[1] (analytic) = 2.831609753848619003102898355503
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3521842152444160028296104202874
relative error = 12.437597192400551444403320144884 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.983
y2[1] (analytic) = 1.4454714482076026225170462954026
y2[1] (numeric) = 1.4453515978292321714084902025322
absolute error = 0.0001198503783704511085560928704
relative error = 0.0082914386527016246168490384093322 %
h = 0.001
y1[1] (analytic) = 2.8321646983903045014270264696466
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.352739159786101501153738534431
relative error = 12.454754484673335680366356001541 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.984
y2[1] (analytic) = 1.4463038900315516083979291298914
y2[1] (numeric) = 1.4461827642759876820536121348874
absolute error = 0.000121125755563926344316995004
relative error = 0.0083748482181904347227656708230527 %
h = 0.001
y1[1] (analytic) = 2.8327188107673609565025407802402
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3532932721631579562292528450246
relative error = 12.471879341509848752704123324131 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.985
y2[1] (analytic) = 1.4471368855515644213862442404742
y2[1] (numeric) = 1.4470144734737809576614650269253
absolute error = 0.0001224120777834637247792135489
relative error = 0.0084589149102372136481759926993707 %
h = 0.001
y1[1] (analytic) = 2.8332720904256760374490160939396
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.353846551821473037175728158724
relative error = 12.488971779915090222939362927146 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.986
y2[1] (analytic) = 1.4479704339346456108854696593607
y2[1] (numeric) = 1.4478467245179977083919602974143
absolute error = 0.0001237094166479024935093619464
relative error = 0.0085436424493655192161385305371951 %
h = 0.001
y1[1] (analytic) = 2.8338245368119701320580081203051
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3543989982077671317847201850895
relative error = 12.506031816862703906171683169521 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.1MB, time=61.64
NO POLE
NO POLE
x[1] = 0.987
y2[1] (analytic) = 1.4488045343472468632767788286789
y2[1] (numeric) = 1.4486795165031460618431189924066
absolute error = 0.0001250178441008014336598362723
relative error = 0.0086290345686368056181950105715254 %
h = 0.001
y1[1] (analytic) = 2.8343761493737969000726195736126
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.354950610769593899799331638397
relative error = 12.523059469294987060973054092611 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.988
y2[1] (analytic) = 1.4496391859552678354672847569453
y2[1] (numeric) = 1.4495128485228565630510717852384
absolute error = 0.0001263374324112724162129717069
relative error = 0.0087150950136616179230177959482156 %
h = 0.001
y1[1] (analytic) = 2.8349269275595438256337943925575
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3555013889553408253605064573419
relative error = 12.540054754122899593620272382406 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.989
y2[1] (analytic) = 1.4504743879240569889903136035916
y2[1] (numeric) = 1.4503467196698821744900589765297
absolute error = 0.0001276682541748145002546270619
relative error = 0.0088018275426107608812438790632536 %
h = 0.001
y1[1] (analytic) = 2.8354768708184327688927876316028
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3560513322142297686194996963872
relative error = 12.557017688226073276464213723396 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.99
y2[1] (analytic) = 1.4513101394184124246568735913464
y2[1] (numeric) = 1.4511811290360982760724304941845
absolute error = 0.0001290103823141485844430971619
relative error = 0.0088892359262264422773872187332914 %
h = 0.001
y1[1] (analytic) = 2.8360259786005205167892594115471
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3566004399963175165159714763315
relative error = 12.573948288452820980236463725889 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.1MB, time=62.16
NO POLE
NO POLE
x[1] = 0.991
y2[1] (analytic) = 1.4521464396025827177574845950707
y2[1] (numeric) = 1.4520160757125026651486458933905
absolute error = 0.0001303638900800526088387016802
relative error = 0.0089773239478333910793657721214363 %
h = 0.001
y1[1] (analytic) = 2.8365742503566993329944421512648
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3571487117524963327211542160492
relative error = 12.590846571620145920094690574926 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.992
y2[1] (analytic) = 1.4529832876402677538135332052885
y2[1] (numeric) = 1.4528515587892155565072743566194
absolute error = 0.0001317288510521973062588486691
relative error = 0.0090660954033499506358209030733355 %
h = 0.001
y1[1] (analytic) = 2.8371216855386975070188311374976
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.357696146934494506745543202282
relative error = 12.607712554513750915208891875328 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.993
y2[1] (analytic) = 1.4538206826946195648773175151265
y2[1] (numeric) = 1.4536875773554795823749946936267
absolute error = 0.0001331053391399825023228214998
relative error = 0.0091555541012991471710449890027902 %
h = 0.001
y1[1] (analytic) = 2.8376682835990799024838493250508
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3582427449948769022105613898352
relative error = 12.624546253888047661691414862026 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.994
y2[1] (analytic) = 1.4546586239282431663799453306873
y2[1] (numeric) = 1.4545241304996597924165953414519
absolute error = 0.0001344934285833739633499892354
relative error = 0.00924570386281973382696803503813 %
h = 0.001
y1[1] (analytic) = 2.8382140439912485045569380957782
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3587885053870455042836501605626
relative error = 12.641347686466166018674413216221 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.1MB, time=62.69
NO POLE
NO POLE
x[1] = 0.995
y2[1] (analytic) = 1.4554971105031973945262489570286
y2[1] (numeric) = 1.4553612173092436537349743644183
absolute error = 0.0001358931939537407912745926103
relative error = 0.009336548521677210501285974573171 %
h = 0.001
y1[1] (analytic) = 2.8387589661694429665495265413068
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3593334275652399662762386060912
relative error = 12.658116868939963307339165183617 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.996
y2[1] (analytic) = 1.4563361415809957442358791649033
y2[1] (numeric) = 1.4561988368708410508711394541332
absolute error = 0.0001373047101546933647397107701
relative error = 0.0094280919242748197304421260053838 %
h = 0.001
y1[1] (analytic) = 2.8393030495887411556773326715804
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3598775109845381554040447363648
relative error = 12.674853817970033622702436539963 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.997
y2[1] (analytic) = 1.4571757163226072076297403972349
y2[1] (numeric) = 1.4570369882701842858042079294876
absolute error = 0.0001387280524229218255324677473
relative error = 0.0095203379296645188657990238303342 %
h = 0.001
y1[1] (analytic) = 2.839846293705059697982450788966
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3604207551008566977091628537504
relative error = 12.691558550185717157965828198815 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 0.998
y2[1] (analytic) = 1.4580158338884571130609287289657
y2[1] (numeric) = 1.4578756705921280779514067366565
absolute error = 0.0001401632963290351095219923092
relative error = 0.0096132904095579287909605850859721 %
h = 0.001
y1[1] (analytic) = 2.8403886979751545224166801058793
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3609631593709515221433921706637
relative error = 12.708231082185109541234801915319 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.1MB, time=63.23
NO POLE
NO POLE
x[1] = 0.999
y2[1] (analytic) = 1.4588564934384279646893335494061
y2[1] (numeric) = 1.4587148829206495641680724490988
absolute error = 0.0001416105177784005212611003073
relative error = 0.0097069532483372594278243454047017 %
h = 0.001
y1[1] (analytic) = 2.8409302618566214040855505226477
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3615047232524184038122625874321
relative error = 12.724871430535071184414828616052 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1
y2[1] (analytic) = 1.459697694131860282599063392557
y2[1] (numeric) = 1.4595546243388482987476512675572
absolute error = 0.0001430697930119838514121249998
relative error = 0.0098013303430662122785603402326044 %
h = 0.001
y1[1] (analytic) = 2.8414709848078965066525023216303
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3620454462036935063792143864147
relative error = 12.74147961177123664409285238639 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.001
y2[1] (analytic) = 1.4605394351275534434578557980464
y2[1] (numeric) = 1.4603948939289462534216990200583
absolute error = 0.0001445411986071900361567779881
relative error = 0.0098964256035008602503271507962476 %
h = 0.001
y1[1] (analytic) = 2.8420108662882569239026773734589
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3625853276840539236293894382433
relative error = 12.758055642398023994213009081703 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.002
y2[1] (analytic) = 1.4613817155837665217176305433427
y2[1] (numeric) = 1.4612356907722878173598811619127
absolute error = 0.00014602481147870435774938143
relative error = 0.0099922429521005050091467189388908 %
h = 0.001
y1[1] (analytic) = 2.842549905757821220465780291656
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3631243671536182201924923564404
relative error = 12.774599538888644210356281905063 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=457.7MB, alloc=4.1MB, time=63.76
x[1] = 1.003
y2[1] (analytic) = 1.4622245346582191313553450467597
y2[1] (numeric) = 1.4620770139493397971699727757147
absolute error = 0.000147520708879334185372271045
relative error = 0.010088786324038512108967794409226 %
h = 0.001
y1[1] (analytic) = 2.8430881026775499716974688128113
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3636625640733469714241808775957
relative error = 12.791111317685110565434517119844 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.004
y2[1] (analytic) = 1.4630678915080922681533102004696
y2[1] (numeric) = 1.4629188625396914168978585713426
absolute error = 0.000149028968400851255451629127
relative error = 0.01018605966721312414155334939681 %
h = 0.001
y1[1] (analytic) = 2.8436254565092463027187335209743
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3641999179050433024454455857587
relative error = 12.807590995198248036609961348992 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.005
y2[1] (analytic) = 1.4639117852900291525181243532775
y2[1] (numeric) = 1.4637612356220543180275328859586
absolute error = 0.0001505496679748344905914673189
relative error = 0.010284066942258252152430013069202 %
h = 0.001
y1[1] (analytic) = 2.844161966715556426612727876925
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3647364281113534263394399417094
relative error = 12.82403858780770272325221766133 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.006
y2[1] (analytic) = 1.4647562151601360728373826242936
y2[1] (numeric) = 1.4646041322742625594810996840088
absolute error = 0.0001520828858735133562829402848
relative error = 0.01038281212255424556773757913369 %
h = 0.001
y1[1] (analytic) = 2.8446976327599701817785103555398
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3652720941557671815052224203242
relative error = 12.840454111861951275745250867654 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.007
y2[1] (analytic) = 1.4656011802739832293733181908644
y2[1] (numeric) = 1.4654475515732726176187725572231
absolute error = 0.0001536287007106117545456336413
relative error = 0.010482299194238640876413957400618 %
h = 0.001
y1[1] (analytic) = 2.8452324541068215684411613375549
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3658069155026185681678734023393
relative error = 12.856837583678310334957803152915 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=461.5MB, alloc=4.1MB, time=64.30
NO POLE
NO POLE
x[1] = 1.008
y2[1] (analytic) = 1.4664466797866055786925316571923
y2[1] (numeric) = 1.4662914925951633862388747246153
absolute error = 0.000155187191442192453656932577
relative error = 0.010582532156216889311745610805217 %
h = 0.001
y1[1] (analytic) = 2.8457664302212892843177382456532
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3663408916170862840444503104376
relative error = 12.873189019542945982191309363741 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.009
y2[1] (analytic) = 1.467292712852503678630964073983
y2[1] (numeric) = 1.467135954415136176577839032483
absolute error = 0.0001567584373675020531250415
relative error = 0.010683515020173063775905577300329 %
h = 0.001
y1[1] (analytic) = 2.8462995605693972594385332589671
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3668740219651942591652453237515
relative error = 12.889508435710883199420126960964 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.01
y2[1] (analytic) = 1.4681392786256445337932686442208
y2[1] (numeric) = 1.4679809361075147173102079544079
absolute error = 0.0001583425181298164830606898129
relative error = 0.010785251810580545250690656555261 %
h = 0.001
y1[1] (analytic) = 2.846831844618015190123098784782
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3674063060138121898498108495664
relative error = 12.905795848406015339639618842126 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.011
y2[1] (analytic) = 1.4689863762594624415857356157674
y2[1] (numeric) = 1.4688264367457451545486335912555
absolute error = 0.0001599395137172870371020245119
relative error = 0.010887746564712688937256278213614 %
h = 0.001
y1[1] (analytic) = 2.8473632818348590721105067114598
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3679377432306560718372187762442
relative error = 12.922051273821113607138347947521 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.1MB, time=64.83
NO POLE
NO POLE
x[1] = 1.012
y2[1] (analytic) = 1.4698340049068598387819243279326
y2[1] (numeric) = 1.469672455402396051843877671175
absolute error = 0.0001615495044637869380466567576
relative error = 0.010991003332653470367231997048317 %
h = 0.001
y1[1] (analytic) = 2.8478938716884917328433083123683
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3684683330842887325700203771527
relative error = 12.938274728117836547511360792789 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.013
y2[1] (analytic) = 1.4706821637202081486201558464534
y2[1] (numeric) = 1.4705189911491583901848115495998
absolute error = 0.0001631725710497584353442968536
relative error = 0.011095026177308111727182513763293 %
h = 0.001
y1[1] (analytic) = 2.8484236136483233629046625169003
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3689980750441203626313745816847
relative error = 12.95446622742673954723225282928 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.014
y2[1] (analytic) = 1.4715308518513486284320190894609
y2[1] (numeric) = 1.4713660430568455679984162092469
absolute error = 0.000164808794503060433602880214
relative error = 0.011199819174413688637958633727481 %
h = 0.001
y1[1] (analytic) = 2.8489525071846120466081011114986
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.369526968580409046334813176283
relative error = 12.970625787847284342602421828244 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.015
y2[1] (analytic) = 1.472380068451593217801042815998
y2[1] (numeric) = 1.4722136101953934011497822601174
absolute error = 0.0001664582561998166512605558806
relative error = 0.011305386412549717630059681937467 %
h = 0.001
y1[1] (analytic) = 2.8494805517684642917394002809662
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3700550131642612914661123457506
relative error = 12.98675342544784853789662632419 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.1MB, time=65.37
NO POLE
NO POLE
x[1] = 1.016
y2[1] (analytic) = 1.4732298126717253872506853184886
y2[1] (numeric) = 1.4730616916338601229421099394961
absolute error = 0.0001681210378652643085753789925
relative error = 0.011411731993148724555703626522903 %
h = 0.001
y1[1] (analytic) = 2.850007746871835558450028748234
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3705822082676325581767408130184
relative error = 13.002849156265735132524674544174 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.017
y2[1] (analytic) = 1.4740800836620009874607931312371
y2[1] (numeric) = 1.4739102864404263841167091119518
absolute error = 0.0001697972215746033440840192853
relative error = 0.011518860030506794177873556610766 %
h = 0.001
y1[1] (analytic) = 2.8505340919675307873016436191816
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.371108553363327787028355683966
relative error = 13.018912996307182057029775201237 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.018
y2[1] (analytic) = 1.4749308805721490990116795385718
y2[1] (numeric) = 1.4747593936823952528529992693371
absolute error = 0.0001714868897538461586802692347
relative error = 0.011626774651794101176179248742506 %
h = 0.001
y1[1] (analytic) = 2.8510595865292049264611058880601
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3716340479250019261878179528445
relative error = 13.034944961547371717744785049455 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.019
y2[1] (analytic) = 1.4757822025513728826549731386242
y2[1] (numeric) = 1.4756090124261922147685095307886
absolute error = 0.0001731901251806678864636078356
relative error = 0.01173547999706542280894037077996 %
h = 0.001
y1[1] (analytic) = 2.8515842300313634580454884085451
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3721586914271604577722004733295
relative error = 13.050945067930440549928289192668 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.1MB, time=65.89
NO POLE
NO POLE
x[1] = 1.02
y2[1] (analytic) = 1.4766340487483504301103861919662
y2[1] (numeric) = 1.4764591417373651729188786427267
absolute error = 0.0001749070109852571915075492395
relative error = 0.011844980219270633470463447451055 %
h = 0.001
y1[1] (analytic) = 2.8521080219493629236165499854554
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3726824833451599233432620502398
relative error = 13.066913331369488579203148816855 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.021
y2[1] (analytic) = 1.4774864183112356153875519584076
y2[1] (numeric) = 1.4773097806805844477978549788557
absolute error = 0.0001766376306511675896969795519
relative error = 0.01195527948426518138204807962034 %
h = 0.001
y1[1] (analytic) = 2.8526309617594114488241500927072
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3732054231552084485508621574916
relative error = 13.082849767746588991120847284876 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.022
y2[1] (analytic) = 1.4783393103876589466320797001881
y2[1] (numeric) = 1.4781609283196427773372965401638
absolute error = 0.0001783820680161692947831600243
relative error = 0.012066381970820547654819103114101 %
h = 0.001
y1[1] (analytic) = 2.8531530489385692671980795741338
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3737275103343662669247916389182
relative error = 13.098754392912797708675659399691 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.023
y2[1] (analytic) = 1.4791927241247284184949755055798
y2[1] (numeric) = 1.4790125837174553169071709549231
absolute error = 0.0001801404072731015878045506567
relative error = 0.012178291870634687962040424563909 %
h = 0.001
y1[1] (analytic) = 2.8536742829647492430877835353817
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3742487443605462428144956001661
relative error = 13.114627222688162977593360115685 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=476.8MB, alloc=4.1MB, time=66.43
x[1] = 1.024
y2[1] (analytic) = 1.4800466586690303650245765635492
y2[1] (numeric) = 1.4798647459360596393155554786895
absolute error = 0.0001819127329707257090210848597
relative error = 0.012291013388342457058123213780321 %
h = 0.001
y1[1] (analytic) = 2.854194663316717393749453487206
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3747691247125143934761655519904
relative error = 13.130468272861734959219878065323 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.025
y2[1] (analytic) = 1.4809011131666303130801459976169
y2[1] (numeric) = 1.4807174140366157348086369943029
absolute error = 0.000183699130014578271509003314
relative error = 0.012404550741526016381095996987481 %
h = 0.001
y1[1] (analytic) = 2.8547141894740934105799666531149
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3752886508698904103066787178993
relative error = 13.146277559191575330835985977277 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.026
y2[1] (analytic) = 1.4817560867630738362662748453913
y2[1] (numeric) = 1.481570587079406011070712011887
absolute error = 0.0001854996836678251955628335043
relative error = 0.012518908160725224974857014443542 %
h = 0.001
y1[1] (analytic) = 2.8552328609173511794971512074687
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3758073223131481792238632722531
relative error = 13.162055097404766893224804400418 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.027
y2[1] (analytic) = 1.4826115786033874093872372494439
y2[1] (numeric) = 1.4824242641238352932241866688494
absolute error = 0.0001873144795521161630505805945
relative error = 0.012634089889448013967080011325927 %
h = 0.001
y1[1] (analytic) = 2.8557506771278193004658570638093
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3763251385236163001925691285937
relative error = 13.177800903197423185319577122801 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=480.6MB, alloc=4.1MB, time=66.96
x[1] = 1.028
y2[1] (analytic) = 1.4834675878320792634204444052437
y2[1] (numeric) = 1.4832784442284308238295767298815
absolute error = 0.0001891436036484395908676753622
relative error = 0.012750100184180744838193454581701 %
h = 0.001
y1[1] (analytic) = 2.8562676375876816061693126873962
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3768420989834786058960247521806
relative error = 13.193514992234698105759856294169 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.029
y2[1] (analytic) = 1.4843241135931402410081422927682
y2[1] (numeric) = 1.4841331264508422628855075869588
absolute error = 0.0001909871422979781226347058094
relative error = 0.012866943314398551716400041252571 %
h = 0.001
y1[1] (analytic) = 2.8567837417799776798252492606312
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3773582031757746795519613254156
relative error = 13.209197380150795541184912531271 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.03
y2[1] (analytic) = 1.4851811550300446524664977001626
y2[1] (numeric) = 1.4849883098478416878287142593405
absolute error = 0.0001928451822029646377834408221
relative error = 0.012984623562575667933248317451119 %
h = 0.001
y1[1] (analytic) = 2.8572989891886033721462743852944
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3778734505844003718729864500788
relative error = 13.224848082548979001093860215981 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.031
y2[1] (analytic) = 1.4860387112857511323112165304354
y2[1] (numeric) = 1.4858439934753235935340413935698
absolute error = 0.0001947178104275387771751368656
relative error = 0.013103145224195737073811292865519 %
h = 0.001
y1[1] (analytic) = 2.8578133792983113174439783612591
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3783878406941083171706904260435
relative error = 13.240467115001581259102660793387 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.032
y2[1] (analytic) = 1.4868967815027034962988378656402
y2[1] (numeric) = 1.4867001763883048923144432634736
absolute error = 0.0001966051143986039843946021666
relative error = 0.013222512607762108755068143769417 %
h = 0.001
y1[1] (analytic) = 2.8583269115947114488762569376219
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3789013729905084486029690024063
relative error = 13.256054493050014000428837148847 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.1MB, time=67.50
NO POLE
NO POLE
x[1] = 1.033
y2[1] (analytic) = 1.4877553648228315989828467473245
y2[1] (numeric) = 1.4875568576409249139209837701629
absolute error = 0.0001985071819066850618629771616
relative error = 0.013342730034808119365624479686882 %
h = 0.001
y1[1] (analytic) = 2.85883958556427151283733528897
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3794140469600685125640473537544
relative error = 13.27161023220477747543540009674 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.034
y2[1] (analytic) = 1.4886144603875521917837481172009
y2[1] (numeric) = 1.4884140362864454055428364420325
absolute error = 0.0002004241011067862409116751684
relative error = 0.013463801839907357999444234652874 %
h = 0.001
y1[1] (analytic) = 2.8593514006943175824899788268026
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.379925862090114582216690891587
relative error = 13.287134347945470159066153656605 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.035
y2[1] (analytic) = 1.489474067337769781572243848041
y2[1] (numeric) = 1.489271711377250531807284434761
absolute error = 0.00020235596051924976495941328
relative error = 0.013585732370683917815802064910257 %
h = 0.001
y1[1] (analytic) = 2.8598623564730345704393773139402
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3804368178688315701660893787246
relative error = 13.302626855720798416005209132335 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.036
y2[1] (analytic) = 1.4903341848138774897646542816844
y2[1] (numeric) = 1.4901298819648468747797205313111
absolute error = 0.0002043028490306149849337503733
relative error = 0.013708525987822633057199220136702 %
h = 0.001
y1[1] (analytic) = 2.8603724523894667405481896080782
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3809469137852637402749016728626
relative error = 13.318087770948586171394199054106 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=488.2MB, alloc=4.1MB, time=68.02
NO POLE
NO POLE
x[1] = 1.037
y2[1] (analytic) = 1.4911948119557579119297251788145
y2[1] (numeric) = 1.4909885470998634339636471419291
absolute error = 0.0002062648558944779660780368854
relative error = 0.013832187065079301956518236073867 %
h = 0.001
y1[1] (analytic) = 2.8608816879335182188922372194854
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3814561493293152186189492842698
relative error = 13.33351710901578458694134079869 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.038
y2[1] (analytic) = 1.4920559479027839779059604737648
y2[1] (numeric) = 1.4918477058320516263006763041454
absolute error = 0.0002082420707323516052841696194
relative error = 0.013956719989290895764222501368698 %
h = 0.001
y1[1] (analytic) = 2.8613900625959535038563357271943
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3819645239917505035830477919787
relative error = 13.348914885278481742257156178489 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.039
y2[1] (analytic) = 1.4929175917938198124286207170946
y2[1] (numeric) = 1.4927073572102852861705296827742
absolute error = 0.0002102345835345262580910343204
relative error = 0.0140821291603857541259358116528 %
h = 0.001
y1[1] (analytic) = 2.861897575868397975369753957895
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3824720372641949750964660226794
relative error = 13.364281115061912321252307491061 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.04
y2[1] (analytic) = 1.4937797427672215962655265790078
y2[1] (numeric) = 1.4935675002825606653910385699136
absolute error = 0.0002122424846609308744880090942
relative error = 0.014208418991393767040264467797972 %
h = 0.001
y1[1] (analytic) = 2.8624042272433384032807916921162
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3829786886391354030075037569006
relative error = 13.379615813660467303433662455958 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.1MB, time=68.55
NO POLE
NO POLE
x[1] = 1.041
y2[1] (analytic) = 1.4946423999608384278608062778836
y2[1] (numeric) = 1.4944281340959964332181438849456
absolute error = 0.000214265864841994642662392938
relative error = 0.014335593908456543626250333067601 %
h = 0.001
y1[1] (analytic) = 2.8629100162141234548699675231574
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3834844776099204545966795879418
relative error = 13.394918996337703659935350141982 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.042
y2[1] (analytic) = 1.4955055625120131854857252902416
y2[1] (numeric) = 1.495289257696833676345896174536
absolute error = 0.0002163048151795091398291157056
relative error = 0.014463658350837567929367564155147 %
h = 0.001
y1[1] (analytic) = 2.863414942274964201501309355628
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3839894036707612012280214204124
relative error = 13.410190678326354054122217412702 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.043
y2[1] (analytic) = 1.4963692295575833898957361913855
y2[1] (numeric) = 1.4961508701304358989064556126346
absolute error = 0.0002183594271474909892805787509
relative error = 0.014592616770932341994498503672624 %
h = 0.001
y1[1] (analytic) = 2.8639190049209346244112408923424
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3844934663167316241379529571268
relative error = 13.425430874828336546603740598504 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.044
y2[1] (analytic) = 1.4972334002338820674928859697464
y2[1] (numeric) = 1.497012970441289022470092000475
absolute error = 0.0002204297925930450227939692714
relative error = 0.014722473634278516433845494609232 %
h = 0.001
y1[1] (analytic) = 2.8644222036479721196345583207306
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.384996665043769119361270385515
relative error = 13.440639601014764304497090047191 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=495.9MB, alloc=4.1MB, time=69.09
NO POLE
NO POLE
x[1] = 1.045
y2[1] (analytic) = 1.4980980736767386139927176525903
y2[1] (numeric) = 1.4978755576730013860451847665747
absolute error = 0.0002225160037372279475328860156
relative error = 0.014853233419566008717255179824994 %
h = 0.001
y1[1] (analytic) = 2.8649245379528780020669922728253
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3854989993486750017937043376097
relative error = 13.455816872025955314778685918841 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.046
y2[1] (analytic) = 1.4989632490214796585948025762604
y2[1] (numeric) = 1.4987386308683037460782229667351
absolute error = 0.0002246181531759125165796095253
relative error = 0.014984900618647109411950210331118 %
h = 0.001
y1[1] (analytic) = 2.8654260073333180086638509963099
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3860004687291150083905630610943
relative error = 13.470962702971442101564222082398 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.047
y2[1] (analytic) = 1.499828925402929928656039130494
y2[1] (numeric) = 1.4996021890690492764538052840415
absolute error = 0.0002267363338806522022338464525
relative error = 0.01511747973654657659818023306293 %
h = 0.001
y1[1] (analytic) = 2.8659266112878228007742415380223
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3865010726836198005009536028067
relative error = 13.486077108929981447157771247582 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.048
y2[1] (analytic) = 1.5006951019554131148658533035871
y2[1] (numeric) = 1.500466231316213568494640028863
absolute error = 0.0002288706391995463712132747241
relative error = 0.015250975291471718686819590462199 %
h = 0.001
y1[1] (analytic) = 2.8664263493157884656103666057382
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3870008107115854653370786705226
relative error = 13.501160104949564116711218534308 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=499.7MB, alloc=4.1MB, time=69.62
x[1] = 1.049
y2[1] (analytic) = 1.5015617778127527369224358532785
y2[1] (numeric) = 1.5013307566498946309615451388527
absolute error = 0.0002310211628581059608907144258
relative error = 0.015385391814822465864453368452831 %
h = 0.001
y1[1] (analytic) = 2.8669252209174770168513956389767
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3874996823132740165781077037611
relative error = 13.516211706047424586335902549331 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.05
y2[1] (analytic) = 1.5024289521082730097091504271879
y2[1] (numeric) = 1.5021957641093128900534481789476
absolute error = 0.0002331879989601196557022482403
relative error = 0.01552073385120143039100630420733 %
h = 0.001
y1[1] (analytic) = 2.8674232255940168943814094850003
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3879976869898138941081215497847
relative error = 13.531231927210050774508972714008 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.051
y2[1] (analytic) = 1.5032966239747997099702464564727
y2[1] (numeric) = 1.5030612527328111894073863413684
absolute error = 0.0002353712419885205628601151043
relative error = 0.015657005958423955974480638141708 %
h = 0.001
y1[1] (analytic) = 2.8679203628474034631609189421053
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3884948242432004628876310068897
relative error = 13.546220783393193776617599074756 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.052
y2[1] (analytic) = 1.5041647925446610434850101470624
y2[1] (numeric) = 1.5039272215578547900985064456199
absolute error = 0.0002375709868062533865037014425
relative error = 0.015794212707528156446879293249514 %
h = 0.001
y1[1] (analytic) = 2.8684166321804995112314582987262
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3889910935762965109581703635106
relative error = 13.561178289521877602484796136266 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.053
y2[1] (analytic) = 1.5050334569496885127394863943916
y2[1] (numeric) = 1.5047936696210313706400649384906
absolute error = 0.000239787328657142099421455901
relative error = 0.015932358682784943964899816933694 %
h = 0.001
y1[1] (analytic) = 2.8689120330970357468527558638018
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3894864944928327465794679285862
relative error = 13.576104460490408916721245393888 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.1MB, time=70.17
NO POLE
NO POLE
x[1] = 1.054
y2[1] (analytic) = 1.5059026163212177850949039499833
y2[1] (numeric) = 1.505660595958051026983427894053
absolute error = 0.0002420203631667581114760559303
relative error = 0.016071448481708046958492352619998 %
h = 0.001
y1[1] (analytic) = 2.8694065651016112947719843512738
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3899810264974082944986964160582
relative error = 13.590999311162386781748122213001 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.055
y2[1] (analytic) = 1.5067722697900895614519356715277
y2[1] (numeric) = 1.5065279996037462725180710136635
absolute error = 0.0002442701863432889338646578642
relative error = 0.016211486715064018049881547944149 %
h = 0.001
y1[1] (analytic) = 2.8699002276996941916245948495095
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3904746890954911913513069142939
relative error = 13.605862856370712403336551516647 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.056
y2[1] (analytic) = 1.5076424164866504454099251922705
y2[1] (numeric) = 1.5073958795920720380715796259623
absolute error = 0.0002465368945784073383455663082
relative error = 0.016352478006882232165157780214086 %
h = 0.001
y1[1] (analytic) = 2.8703930203976218804662389748547
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3909674817934188801929510396391
relative error = 13.620695110917598878509933405366 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.057
y2[1] (analytic) = 1.508513055540753812920210850555
y2[1] (numeric) = 1.5082642349561056719096486868735
absolute error = 0.0002488205846481410105621636815
relative error = 0.016494426994464875060047414284513 %
h = 0.001
y1[1] (analytic) = 2.8708849427026017044352846774374
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3914594040983987041619967422218
relative error = 13.635496089574580945655994352151 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.1MB, time=70.71
NO POLE
NO POLE
x[1] = 1.058
y2[1] (analytic) = 1.5093841860817606824326772262677
y2[1] (numeric) = 1.5091330647280469397360827796051
absolute error = 0.0002511213537137426965944466626
relative error = 0.016637338328396922480975030243789 %
h = 0.001
y1[1] (analytic) = 2.8713759941227113995454320367466
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.391950455518508399272144101531
relative error = 13.650265807082524736696031997584 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.059
y2[1] (analytic) = 1.5102558072385405855346641377078
y2[1] (numeric) = 1.5100023679392180246927961146489
absolute error = 0.0002534392993225608418680230589
relative error = 0.016781216672556110182032694001708 %
h = 0.001
y1[1] (analytic) = 2.871866174166899586607936254411
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3924406355626965863346483191954
relative error = 13.665004278151637531159431822814 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.06
y2[1] (analytic) = 1.5111279181394724380813624600436
y2[1] (numeric) = 1.5108721436200635273598125297808
absolute error = 0.0002557745194089107215499302628
relative error = 0.016926066704122895017972419615052 %
h = 0.001
y1[1] (analytic) = 2.8723554823449862622829459219974
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3929299437407832620096579867818
relative error = 13.679711517461477512012142107955 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.061
y2[1] (analytic) = 1.5120005179124454118168256350344
y2[1] (numeric) = 1.5117423908001504657552654900604
absolute error = 0.000258127112294946061560144974
relative error = 0.017071893113590407332838014209345 %
h = 0.001
y1[1] (analytic) = 2.8728439181676632892594655125299
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3934183795634602889861775773143
relative error = 13.694387539660963523088399597656 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=511.1MB, alloc=4.1MB, time=71.25
NO POLE
NO POLE
x[1] = 1.062
y2[1] (analytic) = 1.5128736056848598064847252510766
y2[1] (numeric) = 1.5126131085081682753353980878313
absolute error = 0.0002604971766915311493271632453
relative error = 0.017218700604774394863351529499555 %
h = 0.001
y1[1] (analytic) = 2.8733314811464948855634519158083
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3939059425422918852901639805927
relative error = 13.70903235936838482797560220115 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.063
y2[1] (analytic) = 1.513747180583627922427978582893
y2[1] (numeric) = 1.5134842957719288089945630427208
absolute error = 0.0002628848116991134334155401722
relative error = 0.01736649389482315837566759549161 %
h = 0.001
y1[1] (analytic) = 2.8738181707939181129935557094709
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3943926321897151127202677742553
relative error = 13.723645991171410870202826857969 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.064
y2[1] (analytic) = 1.5146212417351749336763754913097
y2[1] (numeric) = 1.5143559516183663370652227016403
absolute error = 0.0002652901168085966111527896694
relative error = 0.01751527771422747925360600575625 %
h = 0.001
y1[1] (analytic) = 2.8743039866232433646840187301006
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.394878448019040364410730794885
relative error = 13.738228449627101034584090409494 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.065
y2[1] (analytic) = 1.5154957882654397615213315955666
y2[1] (numeric) = 1.515228075073537547317949038785
absolute error = 0.0002677131919022142033825567816
relative error = 0.017665056806830539255969086468695 %
h = 0.001
y1[1] (analytic) = 2.8747889281486548517942403815169
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3953633895444518515209524463013
relative error = 13.752779749261914409568048937689 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=514.9MB, alloc=4.1MB, time=71.78
NO POLE
NO POLE
x[1] = 1.066
y2[1] (analytic) = 1.5163708192998759485768941434805
y2[1] (numeric) = 1.5161006651626215449614236556339
absolute error = 0.0002701541372544036154704878466
relative error = 0.017815835929837832660045637356512 %
h = 0.001
y1[1] (analytic) = 2.875272994885211089324525990729
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3958474562810080890512380555134
relative error = 13.767299904571719550446426572701 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.067
y2[1] (analytic) = 1.5172463339634525333261265185295
y2[1] (numeric) = 1.51697372090991985264243778095
absolute error = 0.0002726130535326806836887375795
relative error = 0.017967619853827071007897607707898 %
h = 0.001
y1[1] (analytic) = 2.8757561863488453810575313958413
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3963306477446423807842434606257
relative error = 13.781788930021804243274058237107 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.068
y2[1] (analytic) = 1.5181223313806549251519968375448
y2[1] (numeric) = 1.5178472413388564104458922707801
absolute error = 0.0002750900417985147061045667647
relative error = 0.018120413362758080671519188629006 %
h = 0.001
y1[1] (analytic) = 2.8762385020563663036249188245075
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3968129634521633033516308892919
relative error = 13.796246840046885269354022193669 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.069
y2[1] (analytic) = 1.5189988106754857798518956081959
y2[1] (numeric) = 1.5187212254719775758947976084549
absolute error = 0.000277585203508203957097999741
relative error = 0.018274221253982693452450689366429 %
h = 0.001
y1[1] (analytic) = 2.876719941525458189698739996318
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3972944029212551894254520611024
relative error = 13.810673649051118170141927602206 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=518.8MB, alloc=4.1MB, time=72.32
x[1] = 1.07
y2[1] (analytic) = 1.5198757709714658756349069318241
y2[1] (numeric) = 1.5195956723309521239502739045891
absolute error = 0.000280098640513751684633027235
relative error = 0.018429048338254630430921444611716 %
h = 0.001
y1[1] (analytic) = 2.8772005042746816103070632577768
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3977749656704786100337753225612
relative error = 13.825069371408107012424009576331 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.071
y2[1] (analytic) = 1.5207532113916349896009572544251
y2[1] (numeric) = 1.5204705809365712470115508970811
absolute error = 0.000282630455063742589406357344
relative error = 0.018584899439739379279087095935184 %
h = 0.001
y1[1] (analytic) = 2.8776801898234738562733624342827
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3982546512192708560000744990671
relative error = 13.839434021460914153624269469556 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.072
y2[1] (analytic) = 1.521631131058552774700965186707
y2[1] (numeric) = 1.5213459503087485549159679511133
absolute error = 0.0002851807498042197849972355937
relative error = 0.018741779396024065252416928163622 %
h = 0.001
y1[1] (analytic) = 2.8781589976921494187791859597638
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3987334590879464185058980245482
relative error = 13.853767613522070007096481318876 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.073
y2[1] (analytic) = 1.5225095290942996371771154331449
y2[1] (numeric) = 1.522221779466520074938974059152
absolute error = 0.0002877496277795622381413739929
relative error = 0.01889969305812731607277654428543 %
h = 0.001
y1[1] (analytic) = 2.8786369274019004690496257213382
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3992113887976974687763377861226
relative error = 13.868070161873582807257466539809 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=522.6MB, alloc=4.1MB, time=72.85
x[1] = 1.074
y2[1] (analytic) = 1.5233884046204776144823793898327
y2[1] (numeric) = 1.5230980674280442517941278409473
absolute error = 0.0002903371924333626882515488854
relative error = 0.019058645290509120916240054734183 %
h = 0.001
y1[1] (analytic) = 2.8791139784747973371611059335712
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.3996884398705943368878179983556
relative error = 13.882341680766948374418618106245 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.075
y2[1] (analytic) = 1.5242677567582112536784044916836
y2[1] (numeric) = 1.5239748132106019476330975435333
absolute error = 0.0002929435476093060453069481503
relative error = 0.019218640971080683718154161823735 %
h = 0.001
y1[1] (analytic) = 2.8795901504337889899710132345797
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4001646118295859896977252993641
relative error = 13.89658218442315987917323256844 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.076
y2[1] (analytic) = 1.5251475846281484903108939111643
y2[1] (numeric) = 1.5248520158305964420456610412278
absolute error = 0.0002955687975520482652328699365
relative error = 0.019379684991214271007464061908228 %
h = 0.001
y1[1] (analytic) = 2.8800654428027035081686900743944
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4006399041985005078954021391788
relative error = 13.910791687032717606197783369688 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.077
y2[1] (analytic) = 1.5260278873504615277615977332555
y2[1] (numeric) = 1.5257296743035534320597058356326
absolute error = 0.0002982130469080957018918976229
relative error = 0.019541782255753054481797989063643 %
h = 0.001
y1[1] (analytic) = 2.8805398551062485624473143446251
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4011143165020455621740264094095
relative error = 13.924970202755638717325842023343 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.078
y2[1] (analytic) = 1.5269086640448477170760362547213
y2[1] (numeric) = 1.5266077876441210321412290556335
absolute error = 0.0003008764007266849348071990878
relative error = 0.019704937683020948534293508936517 %
h = 0.001
y1[1] (analytic) = 2.8810133868700118887961890775899
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4015878482658088885229011423743
relative error = 13.939117745721467013753924813691 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=526.4MB, alloc=4.1MB, time=73.38
NO POLE
NO POLE
x[1] = 1.079
y2[1] (analytic) = 1.527789913830530437266075580037
y2[1] (numeric) = 1.5274863548660697741943374573999
absolute error = 0.0003035589644606630717381226371
relative error = 0.01986915620483244294263436212321 %
h = 0.001
y1[1] (analytic) = 2.8814860376204617629129669226588
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4020604990162587626396789874432
relative error = 13.953234330029282697239111793402 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.08
y2[1] (analytic) = 1.528671635826259976086475211474
y2[1] (numeric) = 1.5283653749822926075612474243853
absolute error = 0.0003062608439673685252277870887
relative error = 0.020034442766502430930251776412814 %
h = 0.001
y1[1] (analytic) = 2.8819578068849474737353349876248
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4025322682807444734620470524092
relative error = 13.96731996974771213014885197341 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.081
y2[1] (analytic) = 1.5295538291503144112845268568664
y2[1] (numeric) = 1.5292448470048048990222849673271
absolute error = 0.0003089821455095122622418895393
relative error = 0.020200802326856032809128739126094 %
h = 0.001
y1[1] (analytic) = 2.8824286941916997960916865134587
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4030031555874967958183985782431
relative error = 13.981374678914937594223933745115 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.082
y2[1] (analytic) = 1.5304364929205004923219032054952
y2[1] (numeric) = 1.5301247699447444327958857242464
absolute error = 0.0003117229757560595260174812488
relative error = 0.020368239858238415413129767124144 %
h = 0.001
y1[1] (analytic) = 2.8828986990698314624703067318156
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4034731604656284621970187966
relative error = 13.995398471538707047916162746046 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=530.2MB, alloc=4.1MB, time=73.92
NO POLE
NO POLE
x[1] = 1.083
y2[1] (analytic) = 1.5313196262541545225678349503138
y2[1] (numeric) = 1.5310051428123714105385949604484
absolute error = 0.0003144834417831120292399898654
relative error = 0.020536760346524607530262255164836 %
h = 0.001
y1[1] (analytic) = 2.8833678210493376339066011361452
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4039422824451346336333132009296
relative error = 14.009391361596343882162850585282 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.084
y2[1] (analytic) = 1.5322032282681432419627338634115
y2[1] (numeric) = 1.531885964617068451345067568522
absolute error = 0.0003172636510747906176662948895
relative error = 0.02070636879112931154175854593591 %
h = 0.001
y1[1] (analytic) = 2.8838360596610963699878952792174
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4044105210568933697146073440018
relative error = 14.023353363034756674460777090851 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.085
y2[1] (analytic) = 1.533087298078864710151379261166
y2[1] (numeric) = 1.5327672343673405917480680683401
absolute error = 0.0003200637115241184033111928259
relative error = 0.020877070205016711475350468679832 %
h = 0.001
y1[1] (analytic) = 2.8843034144368690979753360923033
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4048778758326660977020481570877
relative error = 14.037284489770448941102846034278 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.086
y2[1] (analytic) = 1.5339718348022491900847847259714
y2[1] (numeric) = 1.5336489510708152857184706070594
absolute error = 0.000322883731433904366314118912
relative error = 0.021048869614710277679590260458839 %
h = 0.001
y1[1] (analytic) = 2.8847698849093010810424256041483
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4053443463050980807691376689327
relative error = 14.051184755689528887441209634203 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.1MB, time=74.45
NO POLE
NO POLE
x[1] = 1.087
y2[1] (analytic) = 1.5348568375537600320898614827493
y2[1] (numeric) = 1.5345311137342424046652589591206
absolute error = 0.0003257238195176274246025236287
relative error = 0.021221772060302568325553536170262 %
h = 0.001
y1[1] (analytic) = 2.8852354706119218856297188212437
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4058099320077188853564308860281
relative error = 14.065054174647719156041190548065 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.088
y2[1] (analytic) = 1.5357423054483945584059943606521
y2[1] (numeric) = 1.5354137213634942374355265262482
absolute error = 0.0003285840849003209704678344039
relative error = 0.021395782595465027941741332251773 %
h = 0.001
y1[1] (analytic) = 2.8857001710791458479152184147362
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4062746324749428476419304795206
relative error = 14.078892760470366572590881534724 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.089
y2[1] (analytic) = 1.5366282376006849481876458034578
y2[1] (numeric) = 1.5362967729635654903144763374505
absolute error = 0.0003314646371194578731694660073
relative error = 0.021570906287457783187479236164922 %
h = 0.001
y1[1] (analytic) = 2.8861639858462725393999997436219
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4067384472420695391267118084063
relative error = 14.092700526952451889431852518305 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.09
y2[1] (analytic) = 1.5375146331246991229721029261249
y2[1] (numeric) = 1.5371802675385732870254210490199
absolute error = 0.000334365586125835946681877105
relative error = 0.021747148217139436069592250218144 %
h = 0.001
y1[1] (analytic) = 2.886626914449487231608600628636
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4072013758452842313353126934204
relative error = 14.106477487858599526576942410629 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=537.8MB, alloc=4.1MB, time=74.98
NO POLE
NO POLE
x[1] = 1.091
y2[1] (analytic) = 1.5384014911340416326114821498343
y2[1] (numeric) = 1.5380642040917571687297829445325
absolute error = 0.0003372870422844638816992053018
relative error = 0.021924513478976854806614345796483 %
h = 0.001
y1[1] (analytic) = 2.8870889564258613599037111764894
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4076634178216583596304232412738
relative error = 14.12022365692308731008165876332 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.092
y2[1] (analytic) = 1.5392888107418545416681054835882
y2[1] (numeric) = 1.5389485816254790940270939348484
absolute error = 0.0003402291163754476410115487398
relative error = 0.022103007181054962544271663057497 %
h = 0.001
y1[1] (analytic) = 2.8875501113133529864146998397988
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4081245727091499861414119045832
relative error = 14.13393904784985620763625212706 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.093
y2[1] (analytic) = 1.5401765910608183162723620570624
y2[1] (numeric) = 1.5398333991412234389549955581115
absolute error = 0.0003431919195948773173664989509
relative error = 0.022282634445086524125458022926257 %
h = 0.001
y1[1] (analytic) = 2.8880103786508072620795127842255
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4085848400466042618062248490099
relative error = 14.147623674312520061246073901432 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.094
y2[1] (analytic) = 1.5410648312031527114421680469252
y2[1] (numeric) = 1.5407186556395969969892389797496
absolute error = 0.0003461755635557144529290671756
relative error = 0.022463400406421931117400863298683 %
h = 0.001
y1[1] (analytic) = 2.8884697579779568877994845209589
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4090442193737538875261965857433
relative error = 14.16127754995437531686836647022 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=541.6MB, alloc=4.1MB, time=75.53
x[1] = 1.095
y2[1] (analytic) = 1.5419535302806176588631376772364
y2[1] (numeric) = 1.5416043501203289790436849924744
absolute error = 0.000349180160288679819452684762
relative error = 0.022645310214058985298194910331249 %
h = 0.001
y1[1] (analytic) = 2.888928248835422574706598649776
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4095027102312195744333107145604
relative error = 14.174900688388410750874172541114 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.096
y2[1] (analytic) = 1.5428426874045141551285775138303
y2[1] (numeric) = 1.5424904815822710134703040162815
absolute error = 0.0003522058222431416582734975488
relative error = 0.022828369030652680804359869044236 %
h = 0.001
y1[1] (analytic) = 2.8893858507647135035427384454507
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4099603121605105032694505102351
relative error = 14.188493103197317193204586851 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.097
y2[1] (analytic) = 1.5437323016856851504384158127608
y2[1] (numeric) = 1.5433770490233971460591760984503
absolute error = 0.0003552526622880043792397143105
relative error = 0.023012582032524985140557185166805 %
h = 0.001
y1[1] (analytic) = 2.8898425633082277831504679083043
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4104170247040247828771799730887
relative error = 14.202054807933497247091107765787 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.098
y2[1] (analytic) = 1.5446223722345164377561782239551
y2[1] (numeric) = 1.5442640514408038400384909135442
absolute error = 0.0003583207937125977176873104109
relative error = 0.023197954409674619252079512861524 %
h = 0.001
y1[1] (analytic) = 2.8902983860092529080748847881513
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4108728474050499078015968529357
relative error = 14.215585816119075005210378802466 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.099
y2[1] (analytic) = 1.5455128981609375424231206931733
y2[1] (numeric) = 1.5451514878307099760745477634105
absolute error = 0.0003614103302275663485729297628
relative error = 0.023384491365786836860204939980751 %
h = 0.001
y1[1] (analytic) = 2.8907533184119662152760879798278
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4113277798077632150028000446122
relative error = 14.229086141245905762144140737992 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=545.5MB, alloc=4.1MB, time=76.06
NO POLE
NO POLE
x[1] = 1.1
y2[1] (analytic) = 1.5464038785744226122286299482153
y2[1] (numeric) = 1.5460393571884568522717555771802
absolute error = 0.0003645213859657599568743710351
relative error = 0.023572198118243203259986294089633 %
h = 0.001
y1[1] (analytic) = 2.8912073600614353399518025778717
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4117818214572323396785146426561
relative error = 14.242555796775585723015743750369 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.101
y2[1] (analytic) = 1.5472953125839913079360014990487
y2[1] (numeric) = 1.5469276585085081841726329112684
absolute error = 0.0003676540754831237633685877803
relative error = 0.023761079898131373779523998063482 %
h = 0.001
y1[1] (analytic) = 2.8916605105036186704697067677687
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4122349718994156701964188325531
relative error = 14.255994796139461708175095968752 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.102
y2[1] (analytic) = 1.5481871992982096942627046261544
y2[1] (numeric) = 1.5478163907844501047578079493739
absolute error = 0.0003708085137595895048966767805
relative error = 0.023951141950254872099248983408796 %
h = 0.001
y1[1] (analytic) = 2.8921127692853658024090056214744
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4126872306811628021357176862588
relative error = 14.269403152738640853804449897538 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.103
y2[1] (analytic) = 1.5490795378251911313142433768984
y2[1] (numeric) = 1.5487055530089911644460185024795
absolute error = 0.0003739848161999668682248744189
relative error = 0.024142389533142868629220121269976 %
h = 0.001
y1[1] (analytic) = 2.8925641359544179917107977556764
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4131385973502149914375098204608
relative error = 14.282780879944000308317951430671 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.1MB, time=76.59
NO POLE
NO POLE
x[1] = 1.104
y2[1] (analytic) = 1.5499723272725971664707221361436
y2[1] (numeric) = 1.5495951441739623310941120088519
absolute error = 0.0003771830986348353766101272917
relative error = 0.02433482791905995914191851551882 %
h = 0.001
y1[1] (analytic) = 2.8930146100594086069367817024688
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4135890714552056066634937672532
relative error = 14.296127991096196924428397593169 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.105
y2[1] (analytic) = 1.5508655667476384267252238846103
y2[1] (numeric) = 1.5504851632703169899970455340416
absolute error = 0.0003804034773214367281783505687
relative error = 0.024528462394015943857498837526301 %
h = 0.001
y1[1] (analytic) = 2.8934641911498635806358497337686
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.414038652545660580362561798553
relative error = 14.309444499505676946755168743109 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.106
y2[1] (analytic) = 1.551759255357075511473108806681
y2[1] (numeric) = 1.551375609288130943887885770883
absolute error = 0.000383646068944567585223035798
relative error = 0.024723298257775607177935687586828 %
h = 0.001
y1[1] (analytic) = 2.8939128787762018598181177729194
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4144873401719988595448298377038
relative error = 14.322730418452685694847818745712 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.107
y2[1] (analytic) = 1.5526533922072198857513404584262
y2[1] (numeric) = 1.5522664812166024129378090394945
absolute error = 0.0003869109906174728135314189317
relative error = 0.024919340823868498265980762270422 %
h = 0.001
y1[1] (analytic) = 2.8943606724897358555359409194884
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4149351338855328552626529842728
relative error = 14.335985761187277241500322597552 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=553.1MB, alloc=4.1MB, time=77.12
NO POLE
NO POLE
x[1] = 1.108
y2[1] (analytic) = 1.5535479764039347739269462565986
y2[1] (numeric) = 1.5531577780440520347561012872782
absolute error = 0.0003901983598827391708449693204
relative error = 0.025116595419598712664324408470116 %
h = 0.001
y1[1] (analytic) = 2.8948075718426718915714650062808
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4153820332384688912981770710652
relative error = 14.349210540929324086231495139864 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.109
y2[1] (analytic) = 1.5544430070526360538337186002104
y2[1] (numeric) = 1.5540494987579228643901580889202
absolute error = 0.0003935082947131894435605112902
relative error = 0.025315067386054675149832972379014 %
h = 0.001
y1[1] (analytic) = 2.8952535763881106522302655010551
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4158280377839076519569775658395
relative error = 14.362404770868526823807606861294 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.11
y2[1] (analytic) = 1.5553384832582931513562624880664
y2[1] (numeric) = 1.5549416423447803743254846463904
absolute error = 0.000396840913512777030777841676
relative error = 0.025514762078118924017211223302891 %
h = 0.001
y1[1] (analytic) = 2.8956986856800476292406259593394
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4162731470758446289673380241238
relative error = 14.375568464164423807683733358837 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.111
y2[1] (analytic) = 1.5562344041254299354604950482804
y2[1] (numeric) = 1.5558342077903124544856957889427
absolute error = 0.0004001963351174809747992593377
relative error = 0.02571568486447789698591706612784 %
h = 0.001
y1[1] (analytic) = 2.8961428992733735677580091291065
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4167173606691705674847211938909
relative error = 14.38870163394640080824088380689 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.1MB, time=77.66
NO POLE
NO POLE
x[1] = 1.112
y2[1] (analytic) = 1.5571307687581256136697019493493
y2[1] (numeric) = 1.5567271940793294122325159731148
absolute error = 0.0004035746787962014371859762345
relative error = 0.025917841127631718923633770607425 %
h = 0.001
y1[1] (analytic) = 2.896586216723874911474274702875
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4171606781196719112009867676594
relative error = 14.401804293313700665696460784858 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.113
y2[1] (analytic) = 1.5580275762600156279852552168044
y2[1] (numeric) = 1.5576206001957639723657792827283
absolute error = 0.0004069760642516556194759340761
relative error = 0.026121236263903991579083058202155 %
h = 0.001
y1[1] (analytic) = 2.8970286375882342468311986080539
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4176030989840312465579106728383
relative error = 14.414876455335432937566109039389 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.114
y2[1] (analytic) = 1.5589248257342925512510965347952
y2[1] (numeric) = 1.5585144251226712771234294288887
absolute error = 0.0004104006116212741276671059065
relative error = 0.026325875683451585516440615586819 %
h = 0.001
y1[1] (analytic) = 2.8974701614240307463378496220504
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4180446228198277460645616868348
relative error = 14.427918133050583540555514214601 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.115
y2[1] (analytic) = 1.5598225162837069839610896681975
y2[1] (numeric) = 1.5594086678422288861815197499853
absolute error = 0.0004138484414780977795699182122
relative error = 0.026531764810274434443093966072687 %
h = 0.001
y1[1] (analytic) = 2.8979107877897406109913799948
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4184852491855376107180920595844
relative error = 14.44092933946802438676121427829 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=560.7MB, alloc=4.1MB, time=78.20
NO POLE
NO POLE
x[1] = 1.116
y2[1] (analytic) = 1.5607206470105684515083451979695
y2[1] (numeric) = 1.5603033273357367766542132116915
absolute error = 0.000417319674831674854131986278
relative error = 0.026738909082225332121961143233096 %
h = 0.001
y1[1] (analytic) = 2.8983505162447375118007876579656
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.41892497764053451152749972275
relative error = 14.453910087566523014059986310554 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.117
y2[1] (analytic) = 1.5616192170167463018756203205038
y2[1] (numeric) = 1.5611984025836173430937824069643
absolute error = 0.0004208144331289587818379135395
relative error = 0.026947313951019732059067292190918 %
h = 0.001
y1[1] (analytic) = 2.8987893463492930304132084970801
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4193638077450900301399205618645
relative error = 14.466860390294752210566869509386 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.118
y2[1] (analytic) = 1.5625182254036706037658960206517
y2[1] (numeric) = 1.5620938925654153974906095560448
absolute error = 0.0004243328382552062752864646069
relative error = 0.027156984882245550156555190778672 %
h = 0.001
y1[1] (analytic) = 2.8992272776645770988422980603767
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4198017390603740985690101251611
relative error = 14.479780260571299633042381711744 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.119
y2[1] (analytic) = 1.5634176712723330451722334879172
y2[1] (numeric) = 1.5629897962597981692731865064579
absolute error = 0.0004278750125348758990469814593
relative error = 0.027367927355372970520784752068917 %
h = 0.001
y1[1] (analytic) = 2.8996643097526584382982629759624
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4202387711484554380249750407468
relative error = 14.49266971128467741912998143446 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=564.5MB, alloc=4.1MB, time=78.73
x[1] = 1.12
y2[1] (analytic) = 1.5643175537232878323860112060389
y2[1] (numeric) = 1.5638861126445553053081147330124
absolute error = 0.0004314410787325270778964730265
relative error = 0.027580146863764254614655858059695 %
h = 0.001
y1[1] (analytic) = 2.9001004421765049971191032473392
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4206749035723019968458153121236
relative error = 14.505528755293331793305320413083 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.121
y2[1] (analytic) = 1.5652178718566525894426437077979
y2[1] (numeric) = 1.564782840696598869900105337801
absolute error = 0.0004350311600537195425383699969
relative error = 0.027793648914683553942768398969026 %
h = 0.001
y1[1] (analytic) = 2.9005356744999843878026274960677
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4211101358957813875293395608521
relative error = 14.518357405425652666419322864492 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.122
y2[1] (analytic) = 1.5661186247721092580038825494078
y2[1] (numeric) = 1.5656799793919633447919790502002
absolute error = 0.0004386453801459132119034992076
relative error = 0.02800843902930672645751316969979 %
h = 0.001
y1[1] (analytic) = 2.9009700062878643231388041195943
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4215444676836613228655161843787
relative error = 14.531155674479983228717617226753 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.123
y2[1] (analytic) = 1.5670198115689049976757996222608
y2[1] (numeric) = 1.5665775277058056291646662268705
absolute error = 0.0004422838630993685111333953903
relative error = 0.028224522742731156873667321267166 %
h = 0.001
y1[1] (analytic) = 2.9014034371058130514420122319265
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4219778985016100511687242967109
relative error = 14.543923575224629536219333943342 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.124
y2[1] (analytic) = 1.5679214313458530867615524841214
y2[1] (numeric) = 1.5674754846124050396372068517562
absolute error = 0.0004459467334480471243456323652
relative error = 0.02844190560398558107854839668852 %
h = 0.001
y1[1] (analytic) = 2.9018359665203997908827571549424
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4224104279161967906094692197268
relative error = 14.55666112039787009033876896442 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=568.4MB, alloc=4.1MB, time=79.26
NO POLE
NO POLE
x[1] = 1.125
y2[1] (analytic) = 1.5688234832013338234480309570783
y2[1] (numeric) = 1.5683738490851633102667505360855
absolute error = 0.0004496341161705131812804209928
relative error = 0.02866059317603991482426161403701 %
h = 0.001
y1[1] (analytic) = 2.9022675940990951629184161286548
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4228420554948921626451281934392
relative error = 14.569368322707965410633897041327 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.126
y2[1] (analytic) = 1.5697259662332954274254838056815
y2[1] (numeric) = 1.5692726200966045925485565183705
absolute error = 0.000453346136690834876927287311
relative error = 0.0288805910358150868880560101069 %
h = 0.001
y1[1] (analytic) = 2.9026983194102716248225808097203
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4232727808060686245492928745047
relative error = 14.58204519483316760056620159781 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.127
y2[1] (analytic) = 1.5706288795392549419392238757145
y2[1] (numeric) = 1.5701717966183754554159936644072
absolute error = 0.0004570829208794865232302113073
relative error = 0.029101904774192876886286342624529 %
h = 0.001
y1[1] (analytic) = 2.9031281420232039013125640288867
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4237026034190009010392760936711
relative error = 14.594691749421729906156768978598 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.128
y2[1] (analytic) = 1.571532222216299136272509641971
y2[1] (numeric) = 1.5710713776212448852405404672754
absolute error = 0.0004608445950542510319691746956
relative error = 0.02932453999602575792695928241131 %
h = 0.001
y1[1] (analytic) = 2.903557061508069415274639179909
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4241315229038664150013512446934
relative error = 14.607307999091916267424074208877 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=572.2MB, alloc=4.1MB, time=79.79
NO POLE
NO POLE
x[1] = 1.129
y2[1] (analytic) = 1.5724359933610854086597006822295
y2[1] (numeric) = 1.5719713620751042858317850473389
absolute error = 0.0004646312859811228279156348906
relative error = 0.029548502320146744285324425374179 %
h = 0.001
y1[1] (analytic) = 2.9039850774359487175865815147284
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4245595388317457173132935795128
relative error = 14.619893956432010862489363052576 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.13
y2[1] (analytic) = 1.5733401920698426896287841643465
y2[1] (numeric) = 1.5728717489489674784374251522453
absolute error = 0.0004684431208752111913590121012
relative error = 0.029773797379379244286453033193492 %
h = 0.001
y1[1] (analytic) = 2.9044121893788259160370815224114
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4249866507746229157637935871958
relative error = 14.632449634000327644236011139538 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.131
y2[1] (analytic) = 1.5742448174383723457723690040154
y2[1] (numeric) = 1.5737725372109707017432681569261
absolute error = 0.0004722802274016440291008470893
relative error = 0.030000430820546918578230185894548 %
h = 0.001
y1[1] (analytic) = 2.9048383969095891033416014724691
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4254128583053861030683135372535
relative error = 14.644975044325219869409715246907 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.132
y2[1] (analytic) = 1.5751498685620490839462439222745
y2[1] (numeric) = 1.5746737258283726118732310635967
absolute error = 0.0004761427336764720730128586778
relative error = 0.030228408304483543977669215321047 %
h = 0.001
y1[1] (analytic) = 2.9052636996020307842542471067375
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4258381609978277839809591715219
relative error = 14.657470199905089620046844474831 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=576.0MB, alloc=4.1MB, time=80.34
NO POLE
NO POLE
x[1] = 1.133
y2[1] (analytic) = 1.5760553445358218558945952042796
y2[1] (numeric) = 1.5755753137675542823893405017564
absolute error = 0.0004800307682675735052547025232
relative error = 0.030457735506042883072940899774257 %
h = 0.001
y1[1] (analytic) = 2.9056880970308483017752273679812
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4262625584266453015019394327656
relative error = 14.669935113208397317118750056306 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.134
y2[1] (analytic) = 1.5769612444542147633009795341995
y2[1] (numeric) = 1.5764772999940192042917327281884
absolute error = 0.0004839444601955590092468060111
relative error = 0.030688418114108559762993952749086 %
h = 0.001
y1[1] (analytic) = 2.9061115887716442624534759577981
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4266860501674412621801880225825
relative error = 14.68236979667367122628030189174 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.135
y2[1] (analytic) = 1.5778675674113279632641468553367
y2[1] (numeric) = 1.5773796834723932860186536269597
absolute error = 0.000487883938934677245493228377
relative error = 0.030920461831603940916127846933443 %
h = 0.001
y1[1] (analytic) = 2.906534174400926960784009421237
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4271086357967239605107214860214
relative error = 14.694774262709516955611387606256 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.136
y2[1] (analytic) = 1.578774312500838574197807779727
y2[1] (numeric) = 1.5782824631664248534464587094213
absolute error = 0.0004918493344137207513490703057
relative error = 0.031153872375502024328363993451378 %
h = 0.001
y1[1] (analytic) = 2.9069558534961108026995973608071
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4275303148919078024263094255915
relative error = 14.707148523694626945240575997864 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=579.8MB, alloc=4.1MB, time=80.87
NO POLE
NO POLE
x[1] = 1.137
y2[1] (analytic) = 1.5796814788160015821534396475239
y2[1] (numeric) = 1.5791856380389846498896131142079
absolute error = 0.000495840777016932263826533316
relative error = 0.031388655476835333161946759974443 %
h = 0.001
y1[1] (analytic) = 2.9073766256355167281563212882432
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4279510870313137278830333530276
relative error = 14.719492591977789948740611182977 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.138
y2[1] (analytic) = 1.5805890654496507475652249134399
y2[1] (numeric) = 1.5800892070520658361006916072383
absolute error = 0.0004998583975849114645333062016
relative error = 0.031624816880705817043791774717272 %
h = 0.001
y1[1] (analytic) = 2.9077964903983726328125995285035
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4283709517941696325393115932879
relative error = 14.731806479877900506185866558341 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.139
y2[1] (analytic) = 1.5814970714941995124162151153795
y2[1] (numeric) = 1.580993169166783990270378581715
absolute error = 0.0005039023274155221458365336645
relative error = 0.031862362346294760003185440125322 %
h = 0.001
y1[1] (analytic) = 2.9082154473648137888012564970109
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4287899087606107885279685617953
relative error = 14.744090199683968408762348890875 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.14
y2[1] (analytic) = 1.5824054960416419078248132591774
y2[1] (numeric) = 1.5818975233433771080274680581246
absolute error = 0.0005079726982647997973452010528
relative error = 0.032101297646872695427526584955837 %
h = 0.001
y1[1] (analytic) = 2.9086334961158832645942155781022
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4292079575116802643209276428866
relative error = 14.756343763655128154821302424947 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=583.6MB, alloc=4.1MB, time=81.43
x[1] = 1.141
y2[1] (analytic) = 1.5833143381835534620506670330335
y2[1] (numeric) = 1.5828022685412056024388636842373
absolute error = 0.0005120696423478596118033487962
relative error = 0.03234162856980932821438873016967 %
h = 0.001
y1[1] (analytic) = 2.909050636233532343959395740028
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4296250976293293436861078048124
relative error = 14.768567184020648397267920866119 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.142
y2[1] (analytic) = 1.5842235970110921089190648458288
y2[1] (numeric) = 1.5837074037187523040095787351074
absolute error = 0.0005161932923398049094861107214
relative error = 0.032583360916583464297669546570712 %
h = 0.001
y1[1] (analytic) = 2.9094668673006209440093929296424
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4300413286964179437361049944268
relative error = 14.780760472979941382177131466925 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.143
y2[1] (analytic) = 1.5851332716149990966629262650005
y2[1] (numeric) = 1.584612927833622460682736113073
absolute error = 0.0005203437813766359801901519275
relative error = 0.032826500502792947725082754289463 %
h = 0.001
y1[1] (analytic) = 2.9098821889009180323415281981339
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4304566502967150320682402629183
relative error = 14.792923642702572378528870209505 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.144
y2[1] (analytic) = 1.5860433610855998971814780120622
y2[1] (numeric) = 1.5855188398425437378395683477561
absolute error = 0.0005245212430561593419096643061
relative error = 0.033071053158164605463736969477035 %
h = 0.001
y1[1] (analytic) = 2.910296600619102043268845417787
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4308710620148990429955574825714
relative error = 14.805056705328269098955720257866 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=587.4MB, alloc=4.1MB, time=81.95
x[1] = 1.145
y2[1] (analytic) = 1.5869538645128051157147062571694
y2[1] (numeric) = 1.5864251387013662182994175960626
absolute error = 0.0005287258114388974152886611068
relative error = 0.033317024726564200110035855740131 %
h = 0.001
y1[1] (analytic) = 2.9107101020407612931416423588084
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4312845634365582928683544235928
relative error = 14.817159672966931111396237444335 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.146
y2[1] (analytic) = 1.5878647809861114009326755383524
y2[1] (numeric) = 1.5873318233650624023197356421823
absolute error = 0.0005329576210489986129398961701
relative error = 0.033564421066006390679624399881673 %
h = 0.001
y1[1] (analytic) = 2.9111226927523943947591198047236
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.431697154148191394485831869508
relative error = 14.829232557698639241547736566725 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.147
y2[1] (analytic) = 1.5887761095946023554388042161757
y2[1] (numeric) = 1.5882388927877272075960838975888
absolute error = 0.0005372168068751478427203185869
relative error = 0.033813248048664701652597217318582 %
h = 0.001
y1[1] (analytic) = 2.9115343723414106708707342947284
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4321088337372076705974463595128
relative error = 14.841275371573664966012760709851 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.148
y2[1] (analytic) = 1.5896878494269494466861859606218
y2[1] (numeric) = 1.5891463459225779692621334010397
absolute error = 0.0005415035043714774240525595821
relative error = 0.03406351156088150044867651430305 %
h = 0.001
y1[1] (analytic) = 2.9119451403961305667668409916768
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4325196017919275664935530564612
relative error = 14.853288126612479796033902673448 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.149
y2[1] (analytic) = 1.590599999571412918306046353956
y2[1] (numeric) = 1.5900541817219544398896648185763
absolute error = 0.0005458178494584784163815353797
relative error = 0.034315217503177983506559706051594 %
h = 0.001
y1[1] (analytic) = 2.9123549965057860619582140850978
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4329294579015830616849261498822
relative error = 14.86527083480576465171209289358 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=591.2MB, alloc=4.1MB, time=82.49
NO POLE
NO POLE
x[1] = 1.15
y2[1] (analytic) = 1.5915125591158427018474232811901
y2[1] (numeric) = 1.590962399137318789488568443524
absolute error = 0.0005501599785239123588548376661
relative error = 0.034568371790264171141129723547208 %
h = 0.001
y1[1] (analytic) = 2.9127639402605210809440330497537
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4333384016563180806707451145381
relative error = 14.877223508114419226603911991951 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.151
y2[1] (analytic) = 1.5924255271476793289271593685416
y2[1] (numeric) = 1.591870997119255605506844196492
absolute error = 0.0005545300284237234203151720496
relative error = 0.034822980351048911351714751281698 %
h = 0.001
y1[1] (analytic) = 2.913171971251391903067923991789
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4337464326471889027946360565734
relative error = 14.889146158469571342593928282896 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.152
y2[1] (analytic) = 1.5933389027539548437892943199711
y2[1] (numeric) = 1.5927799746174718928306016253733
absolute error = 0.0005589281364829509586926945978
relative error = 0.035079049128649892754078534925146 %
h = 0.001
y1[1] (analytic) = 2.9135790890703675714616462264618
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4341535504661645711883582912462
relative error = 14.901038797772586294938501216469 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.153
y2[1] (analytic) = 1.594252685021293716272944592482
y2[1] (numeric) = 1.5936893305807970737840599053449
absolute error = 0.0005633544404966424888846871371
relative error = 0.035336584080403666808317495367488 %
h = 0.001
y1[1] (analytic) = 2.9139852933103303010760151438061
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4345597547061273008027272085905
relative error = 14.912901437895076187377930843948 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=595.1MB, alloc=4.1MB, time=83.03
NO POLE
NO POLE
x[1] = 1.154
y2[1] (analytic) = 1.5951668730359137551877574423796
y2[1] (numeric) = 1.5945990639571829881295478388676
absolute error = 0.000567809078730767058209603512
relative error = 0.035595591177875679514336695647964 %
h = 0.001
y1[1] (analytic) = 2.9143905835650758857986533313354
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4349650449608728855253653961198
relative error = 14.924734090678909257214270964383 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.155
y2[1] (analytic) = 1.5960814658836270220960259671097
y2[1] (numeric) = 1.5955091736937038930675038556862
absolute error = 0.0005722921899231290285221114235
relative error = 0.035856076406870312746073242034829 %
h = 0.001
y1[1] (analytic) = 2.9147949594293141046581628360706
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.435369420825111104384874900855
relative error = 14.93653676793621919025255965335 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.156
y2[1] (analytic) = 1.5969964626498407455005513606404
y2[1] (numeric) = 1.5964196587365564632364760128292
absolute error = 0.0005768039132842822640753478112
relative error = 0.036118045767440935395132973041468 %
h = 0.001
y1[1] (analytic) = 2.9151984204986691271143123617542
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4357728818944661268410244265386
relative error = 14.948309481449414425503655393232 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.157
y2[1] (analytic) = 1.5979118624195582354373381945989
y2[1] (numeric) = 1.5973305180310597907131219946092
absolute error = 0.0005813443884984447242161999897
relative error = 0.03638150527389996449400431102567 %
h = 0.001
y1[1] (analytic) = 2.9156009663696799174338341110968
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4361754277654769171605461758812
relative error = 14.96005224297118744954730002363 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.1MB, time=83.56
NO POLE
NO POLE
x[1] = 1.158
y2[1] (analytic) = 1.5988276642773797984722081325456
y2[1] (numeric) = 1.5982417505216553850122091126225
absolute error = 0.0005859137557244134599990199231
relative error = 0.036646460954828936488511933760471 %
h = 0.001
y1[1] (analytic) = 2.9160025966398006381514258972928
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4365770580355976378781379620772
relative error = 14.97176506422452408045446121643 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.159
y2[1] (analytic) = 1.5997438673075036531004170808466
y2[1] (numeric) = 1.5991533551519071730866143057494
absolute error = 0.0005905121555964800138027750972
relative error = 0.036912918853088588828672478208547 %
h = 0.001
y1[1] (analytic) = 2.9164033109074010526155550638374
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4369777723031980523422671286218
relative error = 14.983447956902712741168437158156 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.16
y2[1] (analytic) = 1.600660470593726845548360376606
y2[1] (numeric) = 1.600065330864501499327324140154
absolute error = 0.000595139729225346221036236452
relative error = 0.037180885025828952046614828862738 %
h = 0.001
y1[1] (analytic) = 2.9168031087717669266186616668743
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4373775701675639263453737316587
relative error = 14.995100932669353722244634597836 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.161
y2[1] (analytic) = 1.6015774732194461659764502110262
y2[1] (numeric) = 1.6009776766012471255634348092843
absolute error = 0.0005997966181990404130154017419
relative error = 0.037450365544499452489728678368839 %
h = 0.001
y1[1] (analytic) = 2.9172019898331004291113592899035
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4377764512288974288380713546879
relative error = 15.006724003158368433849358397253 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=602.7MB, alloc=4.1MB, time=84.08
NO POLE
NO POLE
x[1] = 1.162
y2[1] (analytic) = 1.602494874267659065082249085398
y2[1] (numeric) = 1.6018903913030752310621521338723
absolute error = 0.0006044829645838340200969515257
relative error = 0.037721366494859025876706991889488 %
h = 0.001
y1[1] (analytic) = 2.9175999536925205320002327766828
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4381744150883175317269448414672
relative error = 15.018317179974008646918376207668 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.163
y2[1] (analytic) = 1.6034126728209645711029426966612
y2[1] (numeric) = 1.6028034739100394125287915619337
absolute error = 0.0006091989109251585741511347275
relative error = 0.037993893976986241843650768489919 %
h = 0.001
y1[1] (analytic) = 2.917996999952063409028833084559
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4385714613478604087555451493434
relative error = 15.0298804746908657233764458981 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.164
y2[1] (analytic) = 1.6043308679615642072162352501407
y2[1] (numeric) = 1.6037169233613156841067781687682
absolute error = 0.0006139446002485231094570813725
relative error = 0.038267954105289439646908085127627 %
h = 0.001
y1[1] (analytic) = 2.9183931282146828337414703772652
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4389675896104798334681824420496
relative error = 15.041413898853879835319415880521 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.165
y2[1] (analytic) = 1.6052494587712629093387497986382
y2[1] (numeric) = 1.6046307385952024773776466569594
absolute error = 0.0006187201760604319611031416788
relative error = 0.038543553008516875188823842060965 %
h = 0.001
y1[1] (analytic) = 2.9187883380842505765294073934265
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4393627994800475762561194582109
relative error = 15.052917463978349173060929522482 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=606.5MB, alloc=4.1MB, time=84.62
x[1] = 1.166
y2[1] (analytic) = 1.6061684443314699443210158095567
y2[1] (numeric) = 1.6055449185491206413610413563747
absolute error = 0.000623525782349302959974453182
relative error = 0.038820696829766879532081913874335 %
h = 0.001
y1[1] (analytic) = 2.9191826291655568007590560446127
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4397570905613538004857681093971
relative error = 15.064391181549939141946184412708 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.167
y2[1] (analytic) = 1.6070878237231998285381257651454
y2[1] (numeric) = 1.6064594621596134425147162241655
absolute error = 0.0006283615635863860234095409799
relative error = 0.039099391726498029067827558442191 %
h = 0.001
y1[1] (analytic) = 2.9195760010643104579817811147742
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4401504624601074577084931795586
relative error = 15.075835063024691547835615355781 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.168
y2[1] (analytic) = 1.6080075960270732468751422052864
y2[1] (numeric) = 1.6073743683623465647345348447669
absolute error = 0.0006332276647266821406073605195
relative error = 0.039379643870539327502264958332697 %
h = 0.001
y1[1] (analytic) = 2.9199684533871396822249158512909
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4405429147829366819516279160753
relative error = 15.087249119829033771161786623443 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.169
y2[1] (analytic) = 1.6089277603233179721063362274918
y2[1] (numeric) = 1.6082896360921081093544704298981
absolute error = 0.0006381242312098627518657975937
relative error = 0.039661459448100399825932675107402 %
h = 0.001
y1[1] (analytic) = 2.9203599857415921833635951566516
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.440934447137389183090307221436
relative error = 15.098633363359787929463194187547 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.17
y2[1] (analytic) = 1.6098483156917697846673380649495
y2[1] (numeric) = 1.609205264282808595146605818562
absolute error = 0.0006430514089611895207322463875
relative error = 0.0399448446597816984293685982461 %
h = 0.001
y1[1] (analytic) = 2.920750597736135639573013008962
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4413250591319326392997250737464
relative error = 15.109987804984180028299092408644 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=610.3MB, alloc=4.1MB, time=85.15
NO POLE
NO POLE
x[1] = 1.171
y2[1] (analytic) = 1.6107692612118733928192799705438
y2[1] (numeric) = 1.6101212518674809583211334770455
absolute error = 0.0006480093443924344981464934983
relative error = 0.040229805720584721528385676470059 %
h = 0.001
y1[1] (analytic) = 2.9211402889801580888607116590592
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4417147503759550885874237238436
relative error = 15.121312456039849100449871960091 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.172
y2[1] (analytic) = 1.6116905959626833532040112427848
y2[1] (numeric) = 1.6110375977782805525263554989193
absolute error = 0.0006529981844028006776557438655
relative error = 0.040516348859922244061690341149749 %
h = 0.001
y1[1] (analytic) = 2.9215290590839683196785110719728
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4421035204797653194052231367572
relative error = 15.132607327834856333307926635294 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.173
y2[1] (analytic) = 1.6126123190228649917894648385082
y2[1] (numeric) = 1.6119543009464851488486836050381
absolute error = 0.0006580180763798429407812334701
relative error = 0.040804480321628561223087078739329 %
h = 0.001
y1[1] (analytic) = 2.9219169076587962606136880008392
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4424913690545932603404000656236
relative error = 15.143872431647694184364356121143 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.174
y2[1] (analytic) = 1.6135344294706953252042546270552
y2[1] (numeric) = 1.6128713603024949358126391435404
absolute error = 0.0006630691682003893916154835148
relative error = 0.04109420636396974479002509240594 %
h = 0.001
y1[1] (analytic) = 2.9223038343167933691590150021193
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4428782957125903688857270669037
relative error = 15.155107778727295484697259828446 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=614.1MB, alloc=4.1MB, time=85.69
NO POLE
NO POLE
x[1] = 1.175
y2[1] (analytic) = 1.6144569263840639824605819514124
y2[1] (numeric) = 1.6137887747758325193808530898485
absolute error = 0.0006681516082314630797288615639
relative error = 0.041385533259653912409756421819244 %
h = 0.001
y1[1] (analytic) = 2.9226898386710330195612706221156
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4432643000668300192879826869
relative error = 15.166313380293042530367783456191 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.176
y2[1] (analytic) = 1.6153798088404741270645297734828
y2[1] (numeric) = 1.6147065432951429229540660466688
absolute error = 0.000673265545331204110463726814
relative error = 0.04167846729584151000388927450021 %
h = 0.001
y1[1] (analytic) = 2.923074920335510889747832906309
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4436493817313078894745449710934
relative error = 15.177489247534776161630485135317 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.177
y2[1] (analytic) = 1.6163030759170433795128222932681
y2[1] (numeric) = 1.6156246647881935873711282439914
absolute error = 0.0006784111288497921416940492767
relative error = 0.041973014774155607451635671638437 %
h = 0.001
y1[1] (analytic) = 2.9234590789251453473309693049552
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4440335403209423470576813697396
relative error = 15.188635391612804829864991755226 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.178
y2[1] (analytic) = 1.6172267266905047401751275452828
y2[1] (numeric) = 1.6165431381818743709089995390904
absolute error = 0.0006835885086303692661280061924
relative error = 0.042269182010692207711568836049184 %
h = 0.001
y1[1] (analytic) = 2.923842314055777834689436970682
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4444167754515748344161490354664
relative error = 15.199751823657913652136318427241 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=617.9MB, alloc=4.1MB, time=86.22
NO POLE
NO POLE
x[1] = 1.179
y2[1] (analytic) = 1.6181507602372075125609800899718
y2[1] (numeric) = 1.6174619624021975492827494165237
absolute error = 0.0006887978350099632782306734481
relative error = 0.042566975336030569541223058721271 %
h = 0.001
y1[1] (analytic) = 2.9242246253441732531270083665204
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4447990867399702528537204313048
relative error = 15.210838554771373453291624989149 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.18
y2[1] (analytic) = 1.6190751756331182269704005332872
y2[1] (numeric) = 1.6183811363742978156455569881331
absolute error = 0.0006940392588204113248435451541
relative error = 0.042866401095243543973387083356824 %
h = 0.001
y1[1] (analytic) = 2.9246060124080203461075380258748
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4451804738038173458342500906592
relative error = 15.22189559602494979550158300887 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.181
y2[1] (analytic) = 1.6199999719538215645272882238809
y2[1] (numeric) = 1.6193006590224322805887109930443
absolute error = 0.0006993129313892839385772308366
relative error = 0.043167465647907924707461354205549 %
h = 0.001
y1[1] (analytic) = 2.924986474865932081566187229398
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4455609362617290812928992941824
relative error = 15.232922958460911995154924908427 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.182
y2[1] (analytic) = 1.620925148274521281594663094598
y2[1] (numeric) = 1.6202205292699804721416097976669
absolute error = 0.0007046190045408094530532969311
relative error = 0.043470175368114812573769790879975 %
h = 0.001
y1[1] (analytic) = 2.9253660123374460332964242875787
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4459404737332430330231363523631
relative error = 15.243920653092042127015143606988 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=621.8MB, alloc=4.1MB, time=86.75
NO POLE
NO POLE
x[1] = 1.183
y2[1] (analytic) = 1.621850703670041134570832233106
y2[1] (numeric) = 1.6211407460394443357717613956943
absolute error = 0.0007099576305967987990708374117
relative error = 0.04377453664447999422823809355962 %
h = 0.001
y1[1] (analytic) = 2.9257446244430247614124190420718
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4463190858388217611391311068562
relative error = 15.254888690901644015548706478734 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.184
y2[1] (analytic) = 1.6227766372148258050655563855695
y2[1] (numeric) = 1.6220613082524482343847834081039
absolute error = 0.0007153289623775706807729774656
relative error = 0.044080555880154335234372952124057 %
h = 0.001
y1[1] (analytic) = 2.9261223108040561918864511234096
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.446696772199853191613163188194
relative error = 15.265827082843552213334541443168 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.185
y2[1] (analytic) = 1.6237029479829418254552912172827
y2[1] (numeric) = 1.622982214829738948324403083157
absolute error = 0.0007207331532028771308881341257
relative error = 0.044388239492834187688999942493085 %
h = 0.001
y1[1] (analytic) = 2.926499071042853995160952427717
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4470735324386509948876644925014
relative error = 15.276735839842140966464945657029 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.186
y2[1] (analytic) = 1.6246296350480785048165777750938
y2[1] (numeric) = 1.6239034646911856753724572963986
absolute error = 0.0007261703568928294441204786952
relative error = 0.044697593914771812547742350816077 %
h = 0.001
y1[1] (analytic) = 2.9268749047826579638348052004202
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4474493661784549635615172652046
relative error = 15.28761497279233316684845856356 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.1MB, time=87.30
NO POLE
NO POLE
x[1] = 1.187
y2[1] (analytic) = 1.6255566974835488552366562183088
y2[1] (numeric) = 1.6248250567557800307488925506578
absolute error = 0.000731640727768824487763667651
relative error = 0.04500862559278581680574868069291 %
h = 0.001
y1[1] (analytic) = 2.9272498116476343894235180406812
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4478242730434313891502301054656
relative error = 15.298464492559609291325630981405 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.188
y2[1] (analytic) = 1.6264841343622905185003765075383
y2[1] (numeric) = 1.6257469899416360471117649760474
absolute error = 0.0007371444206544713886115314909
relative error = 0.045321340988271605688703178471758 %
h = 0.001
y1[1] (analytic) = 2.9276237912628764381929030664147
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4481982526586734379196151311991
relative error = 15.30928440998001632750901048722 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.189
y2[1] (analytic) = 1.6274119447568666931524793646539
y2[1] (numeric) = 1.6266692631659901745572403299642
absolute error = 0.0007426815908765185952390346897
relative error = 0.045635746577211850008681365097513 %
h = 0.001
y1[1] (analytic) = 2.9279968432544045260658784062408
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4485713046502015257925904710252
relative error = 15.320074735860176686259050568002 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.19
y2[1] (analytic) = 1.6283401277394670619343204416495
y2[1] (numeric) = 1.6275918753452012806195939970889
absolute error = 0.0007482523942657813147264445606
relative error = 0.045951848850186968838941298902138 %
h = 0.001
y1[1] (analytic) = 2.9283689672491666926020211116027
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4489434286449636923287331763871
relative error = 15.330835480977297100708036896421 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=629.4MB, alloc=4.1MB, time=87.83
x[1] = 1.191
y2[1] (analytic) = 1.6292686823819087195941102617622
y2[1] (numeric) = 1.628514825394750650271210989386
absolute error = 0.0007538569871580693228992723762
relative error = 0.046269654312385627661271120100432 %
h = 0.001
y1[1] (analytic) = 2.9287401628750389740494965095271
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4493146242708359737762085743115
relative error = 15.341566656079177511744508620002 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.192
y2[1] (analytic) = 1.6301976077556371010697421226884
y2[1] (numeric) = 1.6294381122292419859225859461039
absolute error = 0.0007594955263951151471561765845
relative error = 0.046589169483615252139044352523204 %
h = 0.001
y1[1] (analytic) = 2.9291104297608257754689909441298
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4496848911566227751957030089142
relative error = 15.352268271884219939871035758083 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.193
y2[1] (analytic) = 1.6311269029317269100432797791466
y2[1] (numeric) = 1.630361734762401407422323133775
absolute error = 0.0007651681693255026209566453716
relative error = 0.046910400898312557668666470071266 %
h = 0.001
y1[1] (analytic) = 2.929479767536260241929275782964
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4500542289320572416559878477484
relative error = 15.362940339081437343348595673793 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.194
y2[1] (analytic) = 1.6320565669808830478661763503744
y2[1] (numeric) = 1.6312856919070774520571364462154
absolute error = 0.000770875073805595809039904159
relative error = 0.047233355105554094861629381519569 %
h = 0.001
y1[1] (analytic) = 2.9298481758320046287740314926789
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4504226372278016285007435574633
relative error = 15.373582868330462462541172137262 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.195
y2[1] (analytic) = 1.63298659897344154285429552742
y2[1] (numeric) = 1.6322099825752410745518494045251
absolute error = 0.0007766163982004683024461228949
relative error = 0.047558038669066811108924756438971 %
h = 0.001
y1[1] (analytic) = 2.9302156542796506709595615171946
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.450790115675447670686273581979
relative error = 15.384195870261556650374579725487 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.1MB, time=88.36
NO POLE
NO POLE
x[1] = 1.196
y2[1] (analytic) = 1.6339169979793704799518057852832
y2[1] (numeric) = 1.6331346056779856470693951570882
absolute error = 0.000782392301384832882410628195
relative error = 0.047884458167238628379102514231527 %
h = 0.001
y1[1] (analytic) = 2.9305822025117199514630266207112
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4511566639075169511897386854956
relative error = 15.394779355475618688823894219112 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.197
y2[1] (analytic) = 1.6348477630682709307630179360904
y2[1] (numeric) = 1.6340595601255269592108164795725
absolute error = 0.0007882029427439715522014565179
relative error = 0.048212620193129037400797335796563 %
h = 0.001
y1[1] (analytic) = 2.9309478201616642687608312873475
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4515222815574612684875433521319
relative error = 15.40533333454419359134424626149 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.198
y2[1] (analytic) = 1.6357788933093778839512359915417
y2[1] (numeric) = 1.6349848448272032180152657749297
absolute error = 0.000794048482174665935970216612
relative error = 0.048542531354479708380083740027809 %
h = 0.001
y1[1] (analytic) = 2.9313125068638660033767946990539
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4518869682596630031035067638383
relative error = 15.415857818009481391160110845974 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.199
y2[1] (analytic) = 1.6367103877715611760036909358589
y2[1] (numeric) = 1.6359104586914750479600050733954
absolute error = 0.0007999290800861280436858624635
relative error = 0.048874198273725118402559103795557 %
h = 0.001
y1[1] (analytic) = 2.9316762622536384834997397436597
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4522507236494354832264518084441
relative error = 15.426352816384345915328599198323 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=637.0MB, alloc=4.1MB, time=88.90
NO POLE
NO POLE
x[1] = 1.2
y2[1] (analytic) = 1.6376422455233264223616266443769
y2[1] (numeric) = 1.636836400625925490960406032489
absolute error = 0.0008058448974009314012206118879
relative error = 0.049207627588003195669594000387592 %
h = 0.001
y1[1] (analytic) = 2.9320390859672263496701344354948
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4526135473630233493968465002792
relative error = 15.436818340152323544492632327205 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.201
y2[1] (analytic) = 1.6385744656328159489146068177702
y2[1] (numeric) = 1.637762669537260006369949937014
absolute error = 0.0008117960955559425446568807562
relative error = 0.049542825949165980717730395815762 %
h = 0.001
y1[1] (analytic) = 2.9324009776418059185354210619766
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.452975439037602918262133126761
relative error = 15.447254399767631958240246932338 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.202
y2[1] (analytic) = 1.6395070471678097238581114376854
y2[1] (numeric) = 1.6386892643313064709802276990576
absolute error = 0.0008177828365032528778837386278
relative error = 0.049879800023790304769750581875131 %
h = 0.001
y1[1] (analytic) = 2.9327619369154855456736693008611
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4533363983112825454003813656455
relative error = 15.457661005655178865986654491182 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.203
y2[1] (analytic) = 1.6404399891957262899134908862618
y2[1] (numeric) = 1.639616183913015179020939857991
absolute error = 0.0008238052827111108925510282708
relative error = 0.05021855649318848536548324620495 %
h = 0.001
y1[1] (analytic) = 2.9331219634273059874851904845377
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4536964248231029872119025493221
relative error = 15.468038168210570723296043196884 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.1MB, time=89.43
NO POLE
NO POLE
x[1] = 1.204
y2[1] (analytic) = 1.6413732907836236969093455096614
y2[1] (numeric) = 1.6405434271864588421598965804692
absolute error = 0.0008298635971648547494489291922
relative error = 0.050559102053419039419957790155202 %
h = 0.001
y1[1] (analytic) = 2.9334810568172407621517511197817
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4540555182130377618784631845661
relative error = 15.478385897800121433560479996551 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.205
y2[1] (analytic) = 1.6423069509982004347233980443092
y2[1] (numeric) = 1.6414709930548325895030176604311
absolute error = 0.0008359579433678452203803838781
relative error = 0.05090144341529741385606391207238 %
h = 0.001
y1[1] (analytic) = 2.9338392167261965096630247037822
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4544136781219935093897367685666
relative error = 15.488704204760861034953636285401 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.206
y2[1] (analytic) = 1.6432409689057963665839259640468
y2[1] (numeric) = 1.6423988804204539675943325190995
absolute error = 0.0008420884853423989895934449473
relative error = 0.051245587304406733958420582875015 %
h = 0.001
y1[1] (analytic) = 2.9341964427960133509099218100225
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4547709041918103506366338748069
relative error = 15.498993099400544372577425853316 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.207
y2[1] (analytic) = 1.6441753435723936627298204468466
y2[1] (numeric) = 1.643327088184762940415980204981
absolute error = 0.0008482553876307223138402418656
relative error = 0.051591540461108569594706860116971 %
h = 0.001
y1[1] (analytic) = 2.9345527346694652458444393507144
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4551271960652622455711514154988
relative error = 15.509252591997659755720007461021 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=644.6MB, alloc=4.1MB, time=89.97
NO POLE
NO POLE
x[1] = 1.208
y2[1] (analytic) = 1.6451100740636177344283383011036
y2[1] (numeric) = 1.6442556152483218893882093938662
absolute error = 0.0008544588152958450401289072374
relative error = 0.051939309640553719450256521832821 %
h = 0.001
y1[1] (analytic) = 2.9349080919902603507056708559653
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4554825533860573504323829207497
relative error = 15.51948269280143760014396694802 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.209
y2[1] (analytic) = 1.6460451594447381683496128338324
y2[1] (numeric) = 1.6451844605108156133693783888296
absolute error = 0.0008606989339225549802344450028
relative error = 0.052288901612693013421269259887801 %
h = 0.001
y1[1] (analytic) = 2.9352625144030413743116205436987
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4558369757988383740383326084831
relative error = 15.529683412031859055323855048745 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.21
y2[1] (analytic) = 1.6469805987806696612969892863352
y2[1] (numeric) = 1.6461136228710513286559551202295
absolute error = 0.0008669759096183326410341661057
relative error = 0.05264032316228813331154315974822 %
h = 0.001
y1[1] (analytic) = 2.9356160015533859334164648885436
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.456190462949182933143176953328
relative error = 15.53985475987966461655261712163 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.211
y2[1] (analytic) = 1.6479163911359729552922501070842
y2[1] (numeric) = 1.6470431012269586689825171457081
absolute error = 0.0008732899090142863097329613761
relative error = 0.052993581088922451977186416796071 %
h = 0.001
y1[1] (analytic) = 2.9359685530878069071329063324602
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4565430144836039068596183972446
relative error = 15.549996746506362721836809782986 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=648.5MB, alloc=4.1MB, time=90.52
x[1] = 1.212
y2[1] (analytic) = 1.6488525355748557730147949766699
y2[1] (numeric) = 1.6479728944755896855217516501915
absolute error = 0.0008796410992660874930433264784
relative error = 0.053348682207011891063320704221727 %
h = 0.001
y1[1] (analytic) = 2.9363201686537527904192647147783
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4568946300495497901459767795627
relative error = 15.560109382044238333500856988405 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.213
y2[1] (analytic) = 1.6497890311611737535938401457143
y2[1] (numeric) = 1.6489030015131188468844554458896
absolute error = 0.0008860296480549067093846998247
relative error = 0.053705633345815797476344320786245 %
h = 0.001
y1[1] (analytic) = 2.9366708478996080466309529345866
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.457245309295405046357664999371
relative error = 15.570192676596361504420954423709 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.214
y2[1] (analytic) = 1.6507258769584313887527012936274
y2[1] (numeric) = 1.6498334212348430391195349722964
absolute error = 0.000892455723588349633166321331
relative error = 0.054064441349447838734880214020924 %
h = 0.001
y1[1] (analytic) = 2.9370205904746934591359842940259
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4575950518704904588626963588103
relative error = 15.580246640236595928809586159924 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.215
y2[1] (analytic) = 1.6516630720297829593042237640016
y2[1] (numeric) = 1.6507641525351815657140062961896
absolute error = 0.000898919494601393590217467812
relative error = 0.054425113076886917342092202165976 %
h = 0.001
y1[1] (analytic) = 2.9373693960292664819941599070089
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4579438574250634817208719717933
relative error = 15.590271283009607477471971397333 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.216
y2[1] (analytic) = 1.6526006154380334719964236812925
y2[1] (numeric) = 1.6516951943076761475929951116308
absolute error = 0.0009054211303573244034285696617
relative error = 0.054787655401988104321612211942848 %
h = 0.001
y1[1] (analytic) = 2.9377172642145215896995854942074
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4582917256103185894262975589918
relative error = 15.600266614930872717456111776828 %
h = 0.001
memory used=652.3MB, alloc=4.1MB, time=91.05
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.217
y2[1] (analytic) = 1.6535385062456395967074031032222
y2[1] (numeric) = 1.6526265454449909231197367399655
absolute error = 0.0009119608006486735876663632567
relative error = 0.055152075213493592058882115209053 %
h = 0.001
y1[1] (analytic) = 2.938064194682590625986167821821
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4586386560783876257128798866054
relative error = 15.610232645986687416018461177621 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.218
y2[1] (analytic) = 1.6544767435147106039886020140696
y2[1] (numeric) = 1.6535582048389124480955761298231
absolute error = 0.0009185386757981558930258842465
relative error = 0.055518379415043666589275791373823 %
h = 0.001
y1[1] (analytic) = 2.938410187086543151695741978658
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4589846484823401514224540434424
relative error = 15.620169386134175028827590153184 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.219
y2[1] (analytic) = 1.6554153263070093029554496156717
y2[1] (numeric) = 1.6544901713803496957599678571169
absolute error = 0.0009251549266596071954817585548
relative error = 0.055886574925187699473930369490879 %
h = 0.001
y1[1] (analytic) = 2.9387552410803867917084816234314
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4593297024761837914351936882158
relative error = 15.630076845301295172328566187257 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.22
y2[1] (analytic) = 1.6563542536839529795244770255648
y2[1] (numeric) = 1.6554224439593340567904761250441
absolute error = 0.0009318097246189227340009005207
relative error = 0.056256668677395159403780220546516 %
h = 0.001
y1[1] (analytic) = 2.9390993563190675809352452718884
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4596738177148645806619573366728
relative error = 15.639955033386852080191118783231 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=656.1MB, alloc=4.1MB, time=91.58
NO POLE
NO POLE
x[1] = 1.221
y2[1] (analytic) = 1.6572935247066143349959531452297
y2[1] (numeric) = 1.6563550214650193393027747640857
absolute error = 0.000938503241594995693178381144
relative error = 0.05662866762006664367185318122309 %
h = 0.001
y1[1] (analytic) = 2.9394425324584703093715126314552
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4600169938542673090982246962396
relative error = 15.649803960260503043765005038022 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.222
y2[1] (analytic) = 1.6582331384357224249811051158837
y2[1] (numeric) = 1.6572879027856817688506472320066
absolute error = 0.0009452356500406561304578838771
relative error = 0.057002578716544929653455701510122 %
h = 0.001
y1[1] (analytic) = 2.9397847691554188662125659294917
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4603592305512158659392779942761
relative error = 15.659623635762766836466336800467 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.223
y2[1] (analytic) = 1.6591730939316635986729844346777
y2[1] (numeric) = 1.6582210868087199884259866138557
absolute error = 0.000952007122943610246997820822
relative error = 0.057378408945126046433442124961981 %
h = 0.001
y1[1] (analytic) = 2.94012606606767658302957212
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4607005274634735827562841847844
relative error = 15.669414069705032122018974778654 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.224
y2[1] (analytic) = 1.6601133902544824384600394605093
y2[1] (numeric) = 1.6591545724206550584587956219656
absolute error = 0.0009588178338273800012438385437
relative error = 0.057756165299070366719333137351804 %
h = 0.001
y1[1] (analytic) = 2.9404664228539465760062227927368
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4610408842497435757329348575212
relative error = 15.67917527186956584647543804563 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=659.9MB, alloc=4.1MB, time=92.12
NO POLE
NO POLE
x[1] = 1.225
y2[1] (analytic) = 1.6610540264638826998814546959592
y2[1] (numeric) = 1.6600883585071304568171865959529
absolute error = 0.0009656679567522430642681000063
relative error = 0.058135854786613719178619562433023 %
h = 0.001
y1[1] (analytic) = 2.9408058391738720872355895481154
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4613803005696690869623016128998
relative error = 15.688907252009521613942119302616 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.226
y2[1] (analytic) = 1.6619950016192282519233168900892
y2[1] (numeric) = 1.6610224439529120788073815027181
absolute error = 0.0009725576663161731159353873711
relative error = 0.058517484430978521338160147319571 %
h = 0.001
y1[1] (analytic) = 2.9411443146880368250768535410717
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4617187760838338248035656058561
relative error = 15.69861001984894804593393699843 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.227
y2[1] (analytic) = 1.6629363147795440176546676660131
y2[1] (numeric) = 1.6619568276418882371737119364456
absolute error = 0.0009794871376557804809557295675
relative error = 0.058901061270384933183155769663798 %
h = 0.001
y1[1] (analytic) = 2.9414818490579653035715688371935
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4620563104537623032982809019779
relative error = 15.708283585082797124283894977508 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.228
y2[1] (analytic) = 1.6638779650035169152025020372686
y2[1] (numeric) = 1.6628915084570696620986191186036
absolute error = 0.000986456546447253103882918665
relative error = 0.059286592358062031592757619718187 %
h = 0.001
y1[1] (analytic) = 2.9418184419461231809191201648767
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4623929033419201806458322296611
relative error = 15.717927957376932517533358741452 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=663.7MB, alloc=4.1MB, time=92.65
NO POLE
NO POLE
x[1] = 1.229
y2[1] (analytic) = 1.6648199513494967990647718380677
y2[1] (numeric) = 1.6638264852805895012026538979442
absolute error = 0.0009934660689072978621179401235
relative error = 0.059674084762259005748943366475047 %
h = 0.001
y1[1] (analytic) = 2.9421540930159175970110365880794
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4627285544117145967377486528638
relative error = 15.727543146368137890729194665124 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.23
y2[1] (analytic) = 1.6657622728754974017604527545023
y2[1] (numeric) = 1.6647617569937033195444767505034
absolute error = 0.0010005158817940822159760039989
relative error = 0.060063545566256373654873114321825 %
h = 0.001
y1[1] (analytic) = 2.9424888019316975100238235653892
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4630632633274945097505356301736
relative error = 15.73712916166412519855425461241 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.231
y2[1] (analytic) = 1.6667049286391972758157333067154
y2[1] (numeric) = 1.6656973224767890996208577796011
absolute error = 0.0010076061624081761948755271143
relative error = 0.060454981868377219898516098664755 %
h = 0.001
y1[1] (analytic) = 2.9428225683587540320699768025983
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4633970297545510317966888673827
relative error = 15.746686012843542961718023353452 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.232
y2[1] (analytic) = 1.6676479176979407360853837959275
y2[1] (numeric) = 1.666633180609347241366676715841
absolute error = 0.0010147370885934947187070800865
relative error = 0.060848400781998454796919561122979 %
h = 0.001
y1[1] (analytic) = 2.9431553919633207639068422478012
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4637298533591177636335543125856
relative error = 15.756213709455984526534579999151 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=667.5MB, alloc=4.1MB, time=93.18
NO POLE
NO POLE
x[1] = 1.233
y2[1] (analytic) = 1.6685912391087388024083628950293
y2[1] (numeric) = 1.6675693302700005621549229171108
absolute error = 0.0010219088387382402534399779185
relative error = 0.061243809435562095056073091435705 %
h = 0.001
y1[1] (analytic) = 2.9434872724125741287029875201834
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4640617338083711284296995849678
relative error = 15.765712261021996307615357344425 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.234
y2[1] (analytic) = 1.6695348919282701425967192272101
y2[1] (numeric) = 1.6685057703364942967966953685821
absolute error = 0.001029121591775845800023858628
relative error = 0.061641214972586566080904928409821 %
h = 0.001
y1[1] (analytic) = 2.9438182093746337048617510061568
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4643926707704307045884630709412
relative error = 15.775181677033086013604514553705 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.235
y2[1] (analytic) = 1.6704788752128820157568449438006
y2[1] (numeric) = 1.6694424996856960975412026827102
absolute error = 0.0010363755271859182156422610904
relative error = 0.062040624551678026069531281092631 %
h = 0.001
y1[1] (analytic) = 2.9441482025185625579016357993198
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4647226639143595576283478641042
relative error = 15.784621966951730855885069035014 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.236
y2[1] (analytic) = 1.6714231880185912159421379801556
y2[1] (numeric) = 1.6703795171935960340757630992345
absolute error = 0.0010436708249951818663748809211
relative error = 0.062442045346541712025465667498979 %
h = 0.001
y1[1] (analytic) = 2.9444772515143675713932166038778
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4650517129101645711199286686622
relative error = 15.794033140211385740184262637243 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=671.4MB, alloc=4.1MB, time=93.71
x[1] = 1.237
y2[1] (analytic) = 1.6723678294010850161361293369909
y2[1] (numeric) = 1.6713168217353065935258044851781
absolute error = 0.0010510076657784226103248518128
relative error = 0.062845484545993307821082576285656 %
h = 0.001
y1[1] (analytic) = 2.9448053560329997769522286646428
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4653798174287967766789407294272
relative error = 15.803415206216491441006965473289 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.238
y2[1] (analytic) = 1.673312798415722112565131404128
y2[1] (numeric) = 1.6722544121850626804548643348482
absolute error = 0.0010583862306594321102670692798
relative error = 0.063250949353970334445218440944626 %
h = 0.001
y1[1] (analytic) = 2.9451325157463546832885087305517
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4657069771421516830152207953361
relative error = 15.812768174342482758826247724281 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.239
y2[1] (analytic) = 1.6742580941175335693394630140758
y2[1] (numeric) = 1.6731922874162216168645897698356
absolute error = 0.0010658067013119524748732442402
relative error = 0.063658446989543562567382980287402 %
h = 0.001
y1[1] (analytic) = 2.9454587303272726043104590027897
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4660331917230696040371710675741
relative error = 15.822092053935796659960575721453 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.24
y2[1] (analytic) = 1.6752037155612237634223065843026
y2[1] (numeric) = 1.6741304463012631421947375390153
absolute error = 0.0010732692599606212275690452873
relative error = 0.064067984686928447550645407151327 %
h = 0.001
y1[1] (analytic) = 2.9457839994495389862847059630818
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4663584608453359860114180278662
relative error = 15.831386854313880399067413436996 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.241
y2[1] (analytic) = 1.6761496618011713299252523794216
y2[1] (numeric) = 1.6750688877117894133231740185459
absolute error = 0.0010807740893819166020783608757
relative error = 0.064479569695496587044852844036981 %
h = 0.001
y1[1] (analytic) = 2.9461083227878847340506269225208
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4666827841836817337773389873052
relative error = 15.840652584765199624183334247774 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.1MB, time=94.24
NO POLE
NO POLE
x[1] = 1.242
y2[1] (analytic) = 1.6770959318914301077295845978224
y2[1] (numeric) = 1.67600761051852500456587521187
absolute error = 0.0010883213729051031637093859524
relative error = 0.064893209279787201291432512253677 %
h = 0.001
y1[1] (analytic) = 2.9464317000179865362894180764331
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4670061614137835360161301412175
relative error = 15.849889254549246464241070470671 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.243
y2[1] (analytic) = 1.678042524885730085432363661543
y2[1] (numeric) = 1.6769466135913169076769267497142
absolute error = 0.0010959112944131777554369118288
relative error = 0.065308910719518636270624885693814 %
h = 0.001
y1[1] (analytic) = 2.9467541308164671898473787962413
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4673285922122641895740908610257
relative error = 15.859096872896547598994249709929 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.244
y2[1] (analytic) = 1.6789894398374783476163587633775
y2[1] (numeric) = 1.6778858957991345318485238900888
absolute error = 0.0011035440383438157678348732887
relative error = 0.065726681309599889821592023663669 %
h = 0.001
y1[1] (analytic) = 2.9470756148608959231130878350644
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4676500762566929228397998998488
relative error = 15.868275449008672311280887509567 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.245
y2[1] (analytic) = 1.6799366757997600214428844013667
y2[1] (numeric) = 1.678825456010069703710971518288
absolute error = 0.0011112197896903177319128830787
relative error = 0.06614652836014216086544372401299 %
h = 0.001
y1[1] (analytic) = 2.9473961518297887184481480699102
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4679706132255857181748601346946
relative error = 15.87742499205824052155702517249 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=679.0MB, alloc=4.1MB, time=94.78
NO POLE
NO POLE
x[1] = 1.246
y2[1] (analytic) = 1.6808842318253392235665943079135
y2[1] (numeric) = 1.67976529309133666733268414689
absolute error = 0.0011189387340025562339101610235
relative error = 0.066568459196470421860823971262309 %
h = 0.001
y1[1] (analytic) = 2.9477157414026086336711773497374
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4682902027984056333978894145218
relative error = 15.886545511188930804632219896102 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.247
y2[1] (analytic) = 1.6818321069666600073712858588082
y2[1] (numeric) = 1.6807054059092720842201859157569
absolute error = 0.0011267010573879231510999430513
relative error = 0.066992481159135014621301398132167 %
h = 0.001
y1[1] (analytic) = 2.9480343832597661225947239654277
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4686088446555631223214360302121
relative error = 15.895637015515488388538911587286 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.248
y2[1] (analytic) = 1.6827803002758473105257677264381
y2[1] (numeric) = 1.6816457933293350333181105920345
absolute error = 0.0011345069465122772076571344036
relative error = 0.067418601603923269623410136250731 %
h = 0.001
y1[1] (analytic) = 2.9483520770826193546147862047755
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4689265384784163543414982695599
relative error = 15.90469951412373313546800686107 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.249
y2[1] (analytic) = 1.683728810804707902858843221393
y2[1] (numeric) = 1.6825864542161070110092015701526
absolute error = 0.0011423565886008918496416512404
relative error = 0.067846827901871148933791506288129 %
h = 0.001
y1[1] (analytic) = 2.9486688225534745333526164030051
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4692432839492715330793284677895
relative error = 15.913733016070567504703335802331 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.1MB, time=95.30
NO POLE
NO POLE
x[1] = 1.25
y2[1] (analytic) = 1.684677637604731334552461447562
y2[1] (numeric) = 1.6835273874332919311143118718249
absolute error = 0.0011502501714394034381495757371
relative error = 0.068277167439274912883492492688853 %
h = 0.001
y1[1] (analytic) = 2.948984619355586214348490847036
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4695590807513832140752029118204
relative error = 15.922737530383984497487951082205 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.251
y2[1] (analytic) = 1.6856267797270908846520880776495
y2[1] (numeric) = 1.684468591843716124892404146049
absolute error = 0.0011581878833747597596839316005
relative error = 0.068709627617702810617083866605977 %
h = 0.001
y1[1] (analytic) = 2.949299467173157621807127839754
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4698739285689546215338399045384
relative error = 15.931713066063075583755551975361 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.252
y2[1] (analytic) = 1.6865762362226445098933472388189
y2[1] (numeric) = 1.6854100663093283410405506691063
absolute error = 0.0011661699133161688527965697126
relative error = 0.069144215854006794643869166000971 %
h = 0.001
y1[1] (analytic) = 2.9496133656913409643944371788953
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4701878270871379641211492436797
relative error = 15.940659632078038610660627724895 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.253
y2[1] (analytic) = 1.6875260061419357938439856819008
y2[1] (numeric) = 1.6863518096911997456939333445621
absolute error = 0.0011741964507360481500523373387
relative error = 0.069580939580334259518065517030751 %
h = 0.001
y1[1] (analytic) = 2.9499263145962377500852852538222
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4705007759920347498119973186066
relative error = 15.949577237370185692841225553077 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=686.6MB, alloc=4.1MB, time=95.83
NO POLE
NO POLE
x[1] = 1.254
y2[1] (analytic) = 1.6884760885351948963602100922806
y2[1] (numeric) = 1.6872938208495239224258437032656
absolute error = 0.001182267685670973934366389015
relative error = 0.07001980624413980477444848908373 %
h = 0.001
y1[1] (analytic) = 2.9502383135748991000619609124496
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.470812774970696099788672977234
relative error = 15.958465890851951084348558422328 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.255
y2[1] (analytic) = 1.689426482452339503356448086208
y2[1] (numeric) = 1.68823609864361687224768290335
absolute error = 0.001190383808722631108765182858
relative error = 0.070460823308197022245565819957659 %
h = 0.001
y1[1] (analytic) = 2.9505493623153260616630281998839
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4711238237111230613897402646683
relative error = 15.967325601406899032177976416558 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.256
y2[1] (analytic) = 1.690377186942975776887583122846
y2[1] (numeric) = 1.6891786419319170136089617302322
absolute error = 0.0011985450110587632786213926138
relative error = 0.070903998250610307886238930603877 %
h = 0.001
y1[1] (analytic) = 2.9508594605064699203822530199469
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4714339219022669201089650847313
relative error = 15.976156377889731611336133342156 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.257
y2[1] (analytic) = 1.6913282010563993055427132499031
y2[1] (numeric) = 1.6901214495719851823973005966131
absolute error = 0.00120675148441412314541265329
relative error = 0.071349338564826698230686673427845 %
h = 0.001
y1[1] (analytic) = 2.9511686078382325109172917206849
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4717430692340295106440037854693
relative error = 15.984958229126296541379486845081 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=690.4MB, alloc=4.1MB, time=96.37
x[1] = 1.258
y2[1] (analytic) = 1.6922795238415960551494832891709
y2[1] (numeric) = 1.6910645204205046319384295424774
absolute error = 0.0012150034210914232110537466935
relative error = 0.071796851759647731607222727522488 %
h = 0.001
y1[1] (analytic) = 2.9514768040014665272678305551992
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4720512653972635269945426199836
relative error = 15.993731163913594984359576009838 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.259
y2[1] (analytic) = 1.6932311543472433197880397577119
y2[1] (numeric) = 1.6920078533332810329961882350937
absolute error = 0.0012233010139622867918515226182
relative error = 0.072246545359241334235096470176215 %
h = 0.001
y1[1] (analytic) = 2.9517840486879758318828659196852
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4723585100837728316095779844696
relative error = 16.002475191019789324110825051962 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.26
y2[1] (analytic) = 1.6941830916217106731136575108235
y2[1] (numeric) = 1.6929514471652424737725259690146
absolute error = 0.0012316444564681993411315418089
relative error = 0.072698426903153731327667020447921 %
h = 0.001
y1[1] (analytic) = 2.9520903415905157638568162214254
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4726648029863127635835282862098
relative error = 16.011190319184210926816925342249 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.261
y2[1] (analytic) = 1.6951353347130609199870867842308
y2[1] (numeric) = 1.6938953007704394599075016660764
absolute error = 0.0012400339426214600795851181544
relative error = 0.073152503946321383325721469090446 %
h = 0.001
y1[1] (analytic) = 2.9523956824027934461741571806503
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4729701437985904459008692454347
relative error = 16.01987655711736788279215061254 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=694.2MB, alloc=4.1MB, time=96.90
x[1] = 1.262
y2[1] (analytic) = 1.6960878826690510484116690052385
y2[1] (numeric) = 1.6948394130020449144792838753995
absolute error = 0.001248469667006133932385129839
relative error = 0.073608784059082947384371082443203 %
h = 0.001
y1[1] (analytic) = 2.9527000708194680920022733216569
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4732745322152650917289853864413
relative error = 16.028533913500952729414261793783 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.263
y2[1] (analytic) = 1.6970407345371331817762694358089
y2[1] (numeric) = 1.695783782712354178004150773388
absolute error = 0.0012569518247790037721186624209
relative error = 0.074067274827191264236583499352341 %
h = 0.001
y1[1] (analytic) = 2.9530035065361513100322193603595
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4735779679319483097589314251439
relative error = 16.037162396987850155145958531487 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.264
y2[1] (analytic) = 1.6979938893644555314030744047084
y2[1] (numeric) = 1.6967284087527850084364901637299
absolute error = 0.0012654806116705229665842409785
relative error = 0.074527983851825370556034630334018 %
h = 0.001
y1[1] (analytic) = 2.9533059892494074088670861475366
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.473880450645204408593798212321
relative error = 16.045762016202144684582134015833 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.265
y2[1] (analytic) = 1.698947346197863349399300581009
y2[1] (numeric) = 1.6976732899738775811687994773972
absolute error = 0.0012740562239857682305011036118
relative error = 0.074990918749602536941591121785552 %
h = 0.001
y1[1] (analytic) = 2.9536075186567537004576667794332
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4741819800525507001843788442176
relative error = 16.054332779739128344460488357786 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.266
y2[1] (analytic) = 1.6999011040838998818118634373116
y2[1] (numeric) = 1.6986184252252944890316857726457
absolute error = 0.0012826788586053927801776646659
relative error = 0.075456087152590331645362864969007 %
h = 0.001
y1[1] (analytic) = 2.953908094456660802585119440078
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4744825558524578023118315048624
relative error = 16.062874696165308310573353342893 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.1MB, time=97.43
NO POLE
NO POLE
x[1] = 1.267
y2[1] (analytic) = 1.7008551620688073220840517481035
y2[1] (numeric) = 1.6995638133558207422938657350151
absolute error = 0.0012913487129865797901860130884
relative error = 0.075923496708318710165895113796013 %
h = 0.001
y1[1] (analytic) = 2.9542077163485529403903244926773
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4747821777443499401170365574617
relative error = 16.071387774018414535518878005044 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.268
y2[1] (analytic) = 1.7018095191985277648132546666555
y2[1] (numeric) = 1.7005094532133637686621656773289
absolute error = 0.0013000659851639961510889893266
relative error = 0.076393155079792130827701328348724 %
h = 0.001
y1[1] (analytic) = 2.9545063840328082469496342907547
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4750808454286052466763463555391
relative error = 16.079872021807407357230020087801 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.269
y2[1] (analytic) = 1.7027641745187041598087876228096
y2[1] (numeric) = 1.7014553436449534132815215396947
absolute error = 0.0013088308737507465272660831149
relative error = 0.076865069945501696467970884729333 %
h = 0.001
y1[1] (analytic) = 2.9548040972107590628967151333101
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4753785586065560626234271980945
relative error = 16.088327448012485088220083104781 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.27
y2[1] (analytic) = 1.703719127074681266448862983912
y2[1] (numeric) = 1.7024014834967419387349788895038
absolute error = 0.0013176435779393277138840944082
relative error = 0.077339248999437322350920288881503 %
h = 0.001
y1[1] (analytic) = 2.9551008555846922350901817421829
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4756753169804892348168938069673
relative error = 16.096754061085091585483832377598 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=701.9MB, alloc=4.1MB, time=97.97
NO POLE
NO POLE
x[1] = 1.271
y2[1] (analytic) = 1.7046743759115066083357511220005
y2[1] (numeric) = 1.7033478716140040250436929214314
absolute error = 0.0013265042975025832920582005691
relative error = 0.077815699951099930429892503597338 %
h = 0.001
y1[1] (analytic) = 2.9553966588578494143267255940087
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4759711202536464140534376587931
relative error = 16.105151869447923800993516123806 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.272
y2[1] (analytic) = 1.705629920073931428248177232163
y2[1] (numeric) = 1.7042945068411367696669284574366
absolute error = 0.0013354132327946585812487747264
relative error = 0.078294430525513670076946446575052 %
h = 0.001
y1[1] (analytic) = 2.9556915067344273520994393936663
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4762659681302243518261514584507
relative error = 16.113520881494939312729409392543 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.273
y2[1] (analytic) = 1.7065857586064116433899989497525
y2[1] (numeric) = 1.7052413880216596875020599467625
absolute error = 0.00134437058475195588793900299
relative error = 0.07877544846323816539931764498702 %
h = 0.001
y1[1] (analytic) = 2.9559853989195781964010409309148
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4765598603153751961277529956992
relative error = 16.121861105591363836184789406188 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.274
y2[1] (analytic) = 1.7075418905531088009342095178582
y2[1] (numeric) = 1.7061885139982147108845714659359
absolute error = 0.0013533765548940900496380519223
relative error = 0.079258761520380789261771439734562 %
h = 0.001
y1[1] (analytic) = 2.9562783351194097865717005170224
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4768527965152067862984125818068
relative error = 16.130172550073698716285540666523 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.1MB, time=98.50
NO POLE
NO POLE
x[1] = 1.275
y2[1] (analytic) = 1.7084983149578910338613109611106
y2[1] (numeric) = 1.7071358836125661895880567187676
absolute error = 0.001362431345324844273254242343
relative error = 0.079744377468608964133512022987244 %
h = 0.001
y1[1] (analytic) = 2.9565703150409859471911771535838
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4771447764367829469178892183682
relative error = 16.13845522324972839966487702764 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.276
y2[1] (analytic) = 1.7094550308643340170911014275266
y2[1] (numeric) = 1.7080834957056008908242190363522
absolute error = 0.0013715351587331262668823911744
relative error = 0.08023230409516248987795396691965 %
h = 0.001
y1[1] (analytic) = 2.9568613383923267810149695414138
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4774357997881237807416816061982
relative error = 16.146709133398527887233955829353 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.277
y2[1] (analytic) = 1.710412037315721923906920566687
y2[1] (numeric) = 1.7090313491173279992428713770683
absolute error = 0.0013806881983939246640491896187
relative error = 0.080722549202865898603307761441086 %
h = 0.001
y1[1] (analytic) = 2.9571514048824089609541889933913
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4777258662782059606809010581757
relative error = 16.154934288770470166989446128306 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.278
y2[1] (analytic) = 1.7113693333550483826713965200802
y2[1] (numeric) = 1.7099794426868791169319363265783
absolute error = 0.0013898906681692657394601935019
relative error = 0.081215120610140836691577225998467 %
h = 0.001
y1[1] (analytic) = 2.9574405142211660210988622714049
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4780149756169630208255743361893
relative error = 16.163130697587233626999399063305 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=709.5MB, alloc=4.1MB, time=99.05
NO POLE
NO POLE
x[1] = 1.279
y2[1] (analytic) = 1.7123269180250174338327378079462
y2[1] (numeric) = 1.7109277752525082634174460978285
absolute error = 0.0013991427725091704152917101177
relative error = 0.081710026151018474123214496560075 %
h = 0.001
y1[1] (analytic) = 2.9577286661194886467843733241215
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4783031275152856465110853889059
relative error = 16.171298368041809448509053450779 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.28
y2[1] (analytic) = 1.7132847903680444872206131064074
y2[1] (numeric) = 1.7118763456515918756635425310491
absolute error = 0.0014084447164526115570705753583
relative error = 0.082207273675151941214327615062736 %
h = 0.001
y1[1] (analytic) = 2.9580158602892249637007538591603
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4785903216850219634274659239447
relative error = 16.179437308298508979108493829779 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.281
y2[1] (analytic) = 1.7142429494262572796306616190864
y2[1] (numeric) = 1.7128251527206288080724770937542
absolute error = 0.0014177967056284715581845253322
relative error = 0.082706871047828792882986566627698 %
h = 0.001
y1[1] (analytic) = 2.9583020964431808260445336404056
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.47887655783897782577124570519
relative error = 16.187547526492971085904361367617 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.282
y2[1] (analytic) = 1.7152013942414968326966764587811
y2[1] (numeric) = 1.7137741952952403324846108807417
absolute error = 0.0014271989462565002120655780394
relative error = 0.083208826149983500560825920924355 %
h = 0.001
y1[1] (analytic) = 2.9585873742951201037128623586324
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4791618356909171034395744234168
relative error = 16.195629030732169488638100301173 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=713.3MB, alloc=4.1MB, time=99.59
x[1] = 1.283
y2[1] (analytic) = 1.7161601238553184110495031670929
y2[1] (numeric) = 1.7147234722101701381784146140934
absolute error = 0.0014366516451482728710885529995
relative error = 0.083713146878209971865796039354545 %
h = 0.001
y1[1] (analytic) = 2.9588716935597649685396158813466
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.479446154955561968266327946131
relative error = 16.203681829094420072693503929122 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.284
y2[1] (analytic) = 1.7171191373089924807616952131887
y2[1] (numeric) = 1.7156729822992843318704686431751
absolute error = 0.0014461550097081488912265700136
relative error = 0.084219841144774098151570110814562 %
h = 0.001
y1[1] (analytic) = 2.9591550539527961795732006457579
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4797295153485931792999127105423
relative error = 16.211705929629388181936604590848 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.285
y2[1] (analytic) = 1.7180784336435056680769680271228
y2[1] (numeric) = 1.7166227243955714377154629446364
absolute error = 0.0014557092479342303615050824864
relative error = 0.084728916877626330048771076852959 %
h = 0.001
y1[1] (analytic) = 2.9594374551908533673957709171033
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4800119165866503671224829818877
relative error = 16.21970134035809589133123157272 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.286
y2[1] (analytic) = 1.7190380118995617184234928383428
y2[1] (numeric) = 1.7175726973311423973061971224107
absolute error = 0.0014653145684193211172957159321
relative error = 0.085240382020414281112840802737286 %
h = 0.001
y1[1] (analytic) = 2.9597188969915353174835745931305
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4802933583873323172102866579149
relative error = 16.227668069272929259273839475741 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.287
y2[1] (analytic) = 1.719997871117582455710071306166
y2[1] (numeric) = 1.7185228999372305696735804077155
absolute error = 0.0014749711803518860364908984505
relative error = 0.085754244532495359693033646177529 %
h = 0.001
y1[1] (analytic) = 2.9599993790734002526081441944156
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4805738404691972523348562592
relative error = 16.235606124337645559591487264128 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=717.1MB, alloc=4.1MB, time=100.14
NO POLE
NO POLE
x[1] = 1.288
y2[1] (analytic) = 1.7209580103377087419042316461334
y2[1] (numeric) = 1.719473331044191731286631659052
absolute error = 0.0014846792935170106175999870814
relative error = 0.086270512388949429136677870881552 %
h = 0.001
y1[1] (analytic) = 2.9602789011559661142780506393499
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4808533625517631140047627041343
relative error = 16.243515513487380493147124996537 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.289
y2[1] (analytic) = 1.7219184285998014368912866742218
y2[1] (numeric) = 1.7204239894815040760524793622053
absolute error = 0.0014944391182973608388073120165
relative error = 0.086789193580591496442511148181728 %
h = 0.001
y1[1] (analytic) = 2.9605574629597108432209383620653
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4811319243555078429476504268497
relative error = 16.251396244628655378996621124077 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.29
y2[1] (analytic) = 1.7228791249434423586133939099388
y2[1] (numeric) = 1.7213748740777682153163616302445
absolute error = 0.0015042508656741432970322796943
relative error = 0.087310296113984429476560689116619 %
h = 0.001
y1[1] (analytic) = 2.9608350642060726589055612912854
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4814095256018696586322733560698
relative error = 16.259248325639384325042238225986 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.291
y2[1] (analytic) = 1.7238400984079352434876575993199
y2[1] (numeric) = 1.7223259836607071778616262035224
absolute error = 0.0015141147472280656260313957975
relative error = 0.087833828011451702863704350873261 %
h = 0.001
y1[1] (analytic) = 2.9611117046174503381035401680906
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.481686166013247337830252232875
relative error = 16.267071764368881378127539149083 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=720.9MB, alloc=4.1MB, time=100.68
NO POLE
NO POLE
x[1] = 1.292
y2[1] (analytic) = 1.7248013480323067071023122398045
y2[1] (numeric) = 1.7232773170571664099097304496759
absolute error = 0.0015240309751402971925817901286
relative error = 0.088359797311090172667716367084771 %
h = 0.001
y1[1] (analytic) = 2.9613873839172034924905626408631
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4819618453130004922172747056475
relative error = 16.274866568637867653518978724542 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.293
y2[1] (analytic) = 1.7257628728553072051900269108886
y2[1] (numeric) = 1.7242288730931137751202413636256
absolute error = 0.001533999762193430069785547263
relative error = 0.088888212066782879972270162233277 %
h = 0.001
y1[1] (analytic) = 2.9616621018296528452867485362342
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4822365632254498450134606010186
relative error = 16.282632746238478443719708559195 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.294
y2[1] (analytic) = 1.7267246719154119948773694373303
y2[1] (numeric) = 1.7251806505936395545908355675761
absolute error = 0.0015440213217724402865338697542
relative error = 0.089419080348211883475041026168273 %
h = 0.001
y1[1] (analytic) = 2.961935858080080506935903665692
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4825103194758775066626157304764
relative error = 16.290370304934270306561393842608 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.295
y2[1] (analytic) = 1.7276867442508220962094691355221
y2[1] (numeric) = 1.7261326483829564468572993110159
absolute error = 0.0015540958678656493521698245062
relative error = 0.089952410240871121206723247001874 %
h = 0.001
y1[1] (analytic) = 2.9622086523947302498233864886192
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4827831137905272495500985534036
relative error = 16.298079252460228132520111679187 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=724.8MB, alloc=4.1MB, time=101.21
NO POLE
NO POLE
x[1] = 1.296
y2[1] (analytic) = 1.7286490888994652539489166184497
y2[1] (numeric) = 1.7270848652843995678935284707172
absolute error = 0.0015642236150656860553881477325
relative error = 0.090488209846079301486449629957355 %
h = 0.001
y1[1] (analytic) = 2.9624804845008077820323129139162
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4830549458966047817590249787006
relative error = 16.305759596522772191202670150759 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.297
y2[1] (analytic) = 1.729611704898996899647938860416
y2[1] (numeric) = 1.7280373001204264511115285507363
absolute error = 0.0015744047785704485364103096797
relative error = 0.091026487280992823224776166184611 %
h = 0.001
y1[1] (analytic) = 2.9627513541264810201378254840286
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.483325815522278019864537548813
relative error = 16.313411344799765156949956143277 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.298
y2[1] (analytic) = 1.7305745912868011139928874494357
y2[1] (numeric) = 1.7289899517126170473614146824133
absolute error = 0.0015846395741840666314727670224
relative error = 0.091567250678618725685070960592156 %
h = 0.001
y1[1] (analytic) = 2.9630212610008803610391541471312
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4835957223966773607658662119156
relative error = 16.321034504940519113504187935313 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.299
y2[1] (analytic) = 1.7315377470999915894200776828939
y2[1] (numeric) = 1.7299428188816737249314116243721
absolute error = 0.0015949282183178644886660585218
relative error = 0.092110508187827667813824381136872 %
h = 0.001
y1[1] (analytic) = 2.9632902048540989528291967854324
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4838646662498959525559088502168
relative error = 16.328629084565802537687215650028 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.1MB, time=101.74
NO POLE
NO POLE
x[1] = 1.3
y2[1] (analytic) = 1.7325011713754125930020158907071
y2[1] (numeric) = 1.7308959004474212695478537625206
absolute error = 0.0016052709279913234541621281865
relative error = 0.092656267973366937250076754428305 %
h = 0.001
y1[1] (analytic) = 2.9635581854171929647013486300396
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.484132646812989964428060694824
relative error = 16.33619509126784726203727891981 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.301
y2[1] (analytic) = 1.7334648631496399296030520998424
y2[1] (numeric) = 1.7318491952288068843751851100506
absolute error = 0.0016156679208330452278669897918
relative error = 0.093204538215873489123840805020461 %
h = 0.001
y1[1] (analytic) = 2.9638252024221818558933106555778
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4843996638179788556200227203622
relative error = 16.343732532610355416351896508045 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.302
y2[1] (analytic) = 1.7344288214589819053034948846199
y2[1] (numeric) = 1.7328027020439001900159593074377
absolute error = 0.0016261194150817152875355771822
relative error = 0.093755327111887014753078417542939 %
h = 0.001
y1[1] (analytic) = 2.964091255602048643667608010779
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4846657169978456433943200755634
relative error = 16.351241416128506348084827179273 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.303
y2[1] (analytic) = 1.7353930453394802910912249787663
y2[1] (numeric) = 1.7337564197098932245108396224414
absolute error = 0.0016366256295870665803853563249
relative error = 0.094308642873863040348475193592071 %
h = 0.001
y1[1] (analytic) = 2.9643563446907401703285505045413
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4849308060865371700552625693257
relative error = 16.358721749328963521545304810824 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=732.4MB, alloc=4.1MB, time=102.27
NO POLE
NO POLE
x[1] = 1.304
y2[1] (analytic) = 1.736357533826911286819843957684
y2[1] (numeric) = 1.734710347043100443338598950105
absolute error = 0.001647186783810843481245007579
relative error = 0.094864493730186055834941678147352 %
h = 0.001
y1[1] (analytic) = 2.9646204694231673692753681305244
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4851949308189643690020801953088
relative error = 16.366173539689881395848013600561 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.305
y2[1] (analytic) = 1.7373222859567864854323940328691
y2[1] (numeric) = 1.7356644828589587194161198127559
absolute error = 0.0016578030978277660162742201132
relative error = 0.095422887925182673898457044450914 %
h = 0.001
y1[1] (analytic) = 2.964883629535205530091255577164
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4854580909310025298179676419484
relative error = 16.373596794660912281562531249403 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.306
y2[1] (analytic) = 1.7382873007643538374496847348377
y2[1] (numeric) = 1.7366188259720273430983943600053
absolute error = 0.0016684747923264943512903748324
relative error = 0.095983833719134819366559451318648 %
h = 0.001
y1[1] (analytic) = 2.9651458247636945626680606340859
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4857202861594915623947726988703
relative error = 16.380991521663213176011229188756 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.307
y2[1] (analytic) = 1.7392525772845986157222619963152
y2[1] (numeric) = 1.7375733751959880221785243687481
absolute error = 0.0016792020886105935437376275671
relative error = 0.096547339388292949030477223272299 %
h = 0.001
y1[1] (analytic) = 2.9654070548464392603663523702508
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4859815162422362600930644350352
relative error = 16.388357728089452577164879284763 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=736.2MB, alloc=4.1MB, time=102.80
x[1] = 1.308
y2[1] (analytic) = 1.7402181145522443804450548837987
y2[1] (numeric) = 1.7385281293436448818877212431633
absolute error = 0.0016899852085994985573336406354
relative error = 0.097113413224889302016586451611386 %
h = 0.001
y1[1] (analytic) = 2.9656673195222095622106059237861
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4862417809180065619373179885705
relative error = 16.395695421303817276085475987962 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.309
y2[1] (analytic) = 1.741183911601753944433734962928
y2[1] (numeric) = 1.7394830872269244648953060147138
absolute error = 0.0017008243748294795384289482142
relative error = 0.097682063537151180814573574148743 %
h = 0.001
y1[1] (analytic) = 2.9659266185307408141192417083394
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4865010799265378138459537731238
relative error = 16.403004608642019127866041611694 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.31
y2[1] (analytic) = 1.7421499674673303386618230213838
y2[1] (numeric) = 1.7404382476568757313087093421462
absolute error = 0.0017117198104546073531136792376
relative error = 0.098253298649314263069375961913705 %
h = 0.001
y1[1] (analytic) = 2.9661849516127340291692578059375
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4867594130085310288959698707219
relative error = 16.410285297411301801017440319847 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.311
y2[1] (analytic) = 1.743116281182917778057577612289
y2[1] (numeric) = 1.7413936094436700586734715114911
absolute error = 0.0017226717392477193841061007979
relative error = 0.098827126901635944243669523908048 %
h = 0.001
y1[1] (analytic) = 2.9664423185098561468951952817403
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4870167799056531466219073465247
relative error = 16.41753749489044750525248348753 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.312
y2[1] (analytic) = 1.7440828517822026275596996213043
y2[1] (numeric) = 1.742349171396601241973242436063
absolute error = 0.0017336803856013855864571852413
relative error = 0.09940355665040871125736983497653 %
h = 0.001
y1[1] (analytic) = 2.9666987189647402916221771217455
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4872731803605372913488891865299
relative error = 16.424761208329783697617865371197 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=740.0MB, alloc=4.1MB, time=103.34
NO POLE
NO POLE
x[1] = 1.313
y2[1] (analytic) = 1.7450496782986143684308868017935
y2[1] (numeric) = 1.7433049323240854936297816564602
absolute error = 0.0017447459745288748011051453333
relative error = 0.09998259626797354721031229733745 %
h = 0.001
y1[1] (analytic) = 2.9669541527209860298327624604265
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4875286141167830295594745252109
relative error = 16.43195644495118976692472349114 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.314
y2[1] (analytic) = 1.7460167597653265648282719645854
y2[1] (numeric) = 1.7442608910336614435029583405649
absolute error = 0.0017558687316651213253136240205
relative error = 0.10056425414273336729397736333233 %
h = 0.001
y1[1] (analytic) = 2.9672086195231596265673587314712
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4877830809189566262940707962556
relative error = 16.439123211948103696428872793153 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.315
y2[1] (analytic) = 1.7469840952152578306297782519737
y2[1] (numeric) = 1.7452170463319901388907512835433
absolute error = 0.0017670488832676917390269684304
relative error = 0.10114853867916648599782887501121 %
h = 0.001
y1[1] (analytic) = 2.967462119116794300857935341231
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4880365805125913005846474060154
relative error = 16.446261516485528704712016521018 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.316
y2[1] (analytic) = 1.7479516836810727965154246696816
y2[1] (numeric) = 1.7461733970248550445292489078454
absolute error = 0.0017782866562177519861757618362
relative error = 0.10173545829784011571553711548478 %
h = 0.001
y1[1] (analytic) = 2.9677146512483904801947834311864
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4882891126441874799214954959708
relative error = 16.45337136570003986471548980127 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.1MB, time=103.87
NO POLE
NO POLE
x[1] = 1.317
y2[1] (analytic) = 1.7489195241951830773026147955639
y2[1] (numeric) = 1.747129941917162042592649263205
absolute error = 0.0017895822780210347099655323589
relative error = 0.10232502143542389685606321669696 %
h = 0.001
y1[1] (analytic) = 2.967966215665416054026067262693
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4885406770612130537527793274774
relative error = 16.460452766699790700878344220175 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.318
y2[1] (analytic) = 1.7498876157897482395344413298416
y2[1] (numeric) = 1.74808667981293943269326002664
absolute error = 0.0018009359768088068411813032016
relative error = 0.10291723654470345956428812911469 %
h = 0.001
y1[1] (analytic) = 2.9682168121163066262899137244747
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4887912735121036260166257892591
relative error = 16.467505726564519764331833163545 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.319
y2[1] (analytic) = 1.7508559574966767693200388986417
y2[1] (numeric) = 1.7490436095153379318814985024519
absolute error = 0.0018123479813388374385403961898
relative error = 0.10351211209459401715557742927542 %
h = 0.001
y1[1] (analytic) = 2.9684664403504657669787874307981
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4890409017462627667054994955825
relative error = 16.474530252345557186102608397024 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.32
y2[1] (analytic) = 1.7518245483476270404260172705726
y2[1] (numeric) = 1.7500007298266306746458916222264
absolute error = 0.0018238185209963657801256483462
relative error = 0.10410965657015399136838282193324 %
h = 0.001
y1[1] (analytic) = 2.9687151001182652627358998459728
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4892895615140622624626119107572
relative error = 16.48152635106583120827718829115 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=747.6MB, alloc=4.1MB, time=104.42
NO POLE
NO POLE
x[1] = 1.321
y2[1] (analytic) = 1.752793387374008282618006894982
y2[1] (numeric) = 1.7509580395482132129130759448328
absolute error = 0.0018353478257950697049309501492
relative error = 0.10470987847259866953869228374808 %
h = 0.001
y1[1] (analytic) = 2.9689627911710453664834018387895
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4895372525668423662101139035739
relative error = 16.488494029719874693080507245805 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.322
y2[1] (analytic) = 1.7537624736069815502513484204308
y2[1] (numeric) = 1.7519155374806035160477976564244
absolute error = 0.0018469361263780342035507640064
relative error = 0.10531278631931389379985339437258 %
h = 0.001
y1[1] (analytic) = 2.9692095132611150460821100387242
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4897839746569120458088221035086
relative error = 16.495433295273831609821604246227 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.323
y2[1] (analytic) = 1.754731806077460691109957602777
y2[1] (numeric) = 1.7528732224234419708529125704384
absolute error = 0.0018585836540187202570450323386
relative error = 0.10591838864386978241100850912321 %
h = 0.001
y1[1] (analytic) = 2.9694552661417522320225183342027
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4900297275375492317492303989871
relative error = 16.502344154665463499659756091276 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.324
y2[1] (analytic) = 1.7557013838161133154923967640831
y2[1] (numeric) = 1.7538310931754913815693861275959
absolute error = 0.0018702906406219339230106364872
relative error = 0.10652669399603448331709604301978 %
h = 0.001
y1[1] (analytic) = 2.9697000495672040641468468219356
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.49027451096300106387355888672
relative error = 16.509226614804155918144607677898 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.1MB, time=104.96
NO POLE
NO POLE
x[1] = 1.325
y2[1] (analytic) = 1.7566712058533617655441837163571
y2[1] (numeric) = 1.7547891485346369698762933959019
absolute error = 0.0018820573187247956678903204552
relative error = 0.10713771094178796004308925982514 %
h = 0.001
y1[1] (analytic) = 2.9699438632926871374018814852929
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4905183246884841371285935500773
relative error = 16.51608068257092485548409780714 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.326
y2[1] (analytic) = 1.7576412712193840848353688178995
y2[1] (numeric) = 1.7557473872978863748908190706452
absolute error = 0.0018938839214977099445497472543
relative error = 0.10775144806333581002486259038672 %
h = 0.001
y1[1] (analytic) = 2.9701867070743877466223588489025
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4907611684701847463490709136869
relative error = 16.522906364818423134494224300866 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.327
y2[1] (analytic) = 1.7586115789441149881824105847592
y2[1] (numeric) = 1.7567058082613696531682574743985
absolute error = 0.0019057706827453350141531103607
relative error = 0.10836791395912311547879564162337 %
h = 0.001
y1[1] (analytic) = 2.9704285806694621303446508261051
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4910030420652591300713628908895
relative error = 16.529703668370946786184936787397 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.328
y2[1] (analytic) = 1.7595821280572468317133800355038
y2[1] (numeric) = 1.7576644102203392787020125570184
absolute error = 0.0019177178369075530113674784854
relative error = 0.10898711724384832691194670056956 %
h = 0.001
y1[1] (analytic) = 2.9706694838360367136505059456028
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4912439452318337133772180103872
relative error = 16.536472600024441402936689333114 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=755.3MB, alloc=4.1MB, time=105.49
x[1] = 1.329
y2[1] (analytic) = 1.7605529175882305831755237041812
y2[1] (numeric) = 1.7586231919691701429235978956454
absolute error = 0.0019297256190604402519258085358
relative error = 0.10960906654847717937435068600213 %
h = 0.001
y1[1] (analytic) = 2.9709094163332083500406041135805
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4914838777290053497673161783649
relative error = 16.543213166546508469222428168708 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.33
y2[1] (analytic) = 1.7615239465662767924842150139894
y2[1] (numeric) = 1.7595821523013595547026366947038
absolute error = 0.0019417942649172377815783192856
relative error = 0.11023377052025664155472115269736 %
h = 0.001
y1[1] (analytic) = 2.9711483779210445623376830377638
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4917228393168415620643951025482
relative error = 16.549925374676411669830032087073 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.331
y2[1] (analytic) = 1.7624952140203565625123234627852
y2[1] (numeric) = 1.760541290009527240346861785902
absolute error = 0.0019539240108293221654616768832
relative error = 0.11086123782272889782056210976601 %
h = 0.001
y1[1] (analytic) = 2.9713863683605837826189954103093
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4919608297563807823457074750937
relative error = 16.556609231125083175540464678647 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.332
y2[1] (analytic) = 1.7634667189792025201190308311427
y2[1] (numeric) = 1.761500603885415343602115628232
absolute error = 0.0019661150937871765169152029107
relative error = 0.11149147713574536330342307376406 %
h = 0.001
y1[1] (analytic) = 2.9716233874138355911778569170885
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4921978488096325909045689818729
relative error = 16.563264742575129906217138422532 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.333
y2[1] (analytic) = 1.7644384604713097874171233842259
y2[1] (numeric) = 1.7624600927198884256523503079699
absolute error = 0.001978367751421361764773076256
relative error = 0.11212449715548073212975993855246 %
h = 0.001
y1[1] (analytic) = 2.9718594348437809545140461118376
memory used=759.1MB, alloc=4.1MB, time=106.03
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.492433896239577954240758176622
relative error = 16.569891915680839771262230772002 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.334
y2[1] (analytic) = 1.7654104375249369532777888002662
y2[1] (numeric) = 1.7634197553029334651196275386756
absolute error = 0.0019906822220034881581612615906
relative error = 0.11276030659444705889759490696608 %
h = 0.001
y1[1] (analytic) = 2.9720945104143724623528181647938
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4926689718101694620795302295782
relative error = 16.576490757068187887395931764435 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.335
y2[1] (analytic) = 1.7663826491681070450719463209256
y2[1] (numeric) = 1.7643795904236598580641186611929
absolute error = 0.0020030587444471870078276597327
relative error = 0.11339891418150787349890089207933 %
h = 0.001
y1[1] (analytic) = 2.9723286138905345636922954668229
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4929030752863315634190075316073
relative error = 16.583061273334842773714841351894 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.336
y2[1] (analytic) = 1.7673550944286085006471383822999
y2[1] (numeric) = 1.7653395968702994179841046436495
absolute error = 0.0020154975583090826630337386504
relative error = 0.11404032866189232938736945908425 %
h = 0.001
y1[1] (analytic) = 2.9725617450381638018789990416688
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4931362064339608016057111064532
relative error = 16.589603471050172523985972593273 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.337
y2[1] (analytic) = 1.7683277723339961405390117497482
y2[1] (numeric) = 1.7662997734302063758159760814569
absolute error = 0.0020279989037897647230356682913
relative error = 0.11468455879720938539095653977619 %
h = 0.001
y1[1] (analytic) = 2.9727939036241290487112856908112
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4933683650199260484379977555956
relative error = 16.596117356755250956133054075503 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=762.9MB, alloc=4.1MB, time=106.56
NO POLE
NO POLE
x[1] = 1.338
y2[1] (analytic) = 1.7693006819115921404164159451506
y2[1] (numeric) = 1.7672601188898573799342331973106
absolute error = 0.00204056302173476048218274784
relative error = 0.11533161336546202116833681094882 %
h = 0.001
y1[1] (analytic) = 2.9730250894162717375704567675156
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4935995508120687372971688323
relative error = 16.602602936962863738872061443663 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.339
y2[1] (analytic) = 1.7702738221884870037591465215765
y2[1] (numeric) = 1.7682206320348514961514858411899
absolute error = 0.0020531901536355076076606803866
relative error = 0.1159815011610614864081357836486 %
h = 0.001
y1[1] (analytic) = 2.9732553021834060955793054489858
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4938297635792030953060175137702
relative error = 16.609060218157514495453143721188 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.34
y2[1] (analytic) = 1.7712471921915405347673605076999
y2[1] (numeric) = 1.769181311649910207718453490358
absolute error = 0.0020658805416303270489070173419
relative error = 0.11663423099484158386954830145404 %
h = 0.001
y1[1] (analytic) = 2.9734845416953193747878703480896
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.494059003091116374514582412874
relative error = 16.615489206795430884466345195543 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.341
y2[1] (analytic) = 1.7722207909473828115016911126287
y2[1] (numeric) = 1.770142156518877415323965249362
absolute error = 0.0020786344285053961777258632667
relative error = 0.11728981169407298636269329211612 %
h = 0.001
y1[1] (analytic) = 2.9737128077227720823861642789256
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.49428726911856908211287634371
relative error = 16.621889909304570657668758035326 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=766.7MB, alloc=4.1MB, time=107.09
NO POLE
NO POLE
x[1] = 1.342
y2[1] (analytic) = 1.7731946174824151592530885511146
y2[1] (numeric) = 1.7711031654247194370949598500329
absolute error = 0.0020914520576957221581287010817
relative error = 0.11794825210247758776679725626667 %
h = 0.001
y1[1] (analytic) = 2.9739401000374982099436479635199
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4945145614332952096703600283043
relative error = 16.628262332084627694790974495047 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.343
y2[1] (analytic) = 1.774168670822811124141413619382
y2[1] (numeric) = 1.7720643371495250085964856514855
absolute error = 0.0021043336732861155449279678965
relative error = 0.11860956108024288818404310865472 %
h = 0.001
y1[1] (analytic) = 2.9741664184122054616752194401986
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.494740879808002461401931504983
relative error = 16.634606481507038015280940557678 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.344
y2[1] (analytic) = 1.775142949994517446941810423066
y2[1] (numeric) = 1.7730256704745052828317006401186
absolute error = 0.0021172795200121641101097829474
relative error = 0.11927374750403641332666661070681 %
h = 0.001
y1[1] (analytic) = 2.9743917626205754817334909076658
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4949662240163724814602029724502
relative error = 16.640922363914985766943545165886 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.345
y2[1] (analytic) = 1.7761174540232550371378844309657
y2[1] (numeric) = 1.7739871641799938302418724296148
absolute error = 0.0021302898432612068960120013509
relative error = 0.11994082026702016823462974619576 %
h = 0.001
y1[1] (analytic) = 2.9746161324372640805271257125288
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4951905938330610802538377773132
relative error = 16.647209985623409191434510804124 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=770.5MB, alloc=4.1MB, time=107.63
NO POLE
NO POLE
x[1] = 1.346
y2[1] (analytic) = 1.7770921819345199472007118015173
y2[1] (numeric) = 1.7749488170454466387063782609406
absolute error = 0.0021433648890733084943335405767
relative error = 0.12061078827886512542094899400359 %
h = 0.001
y1[1] (analytic) = 2.9748395276379014600650091619533
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4954139890336984597917212267377
relative error = 16.653469352919006566567382119149 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.347
y2[1] (analytic) = 1.7780671327535843470927057030585
y2[1] (numeric) = 1.7759106278494421135427050023464
absolute error = 0.0021565049041422335500007007121
relative error = 0.12128366046576574754150654165569 %
h = 0.001
y1[1] (analytic) = 2.9750619479990924383260278172952
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4956364093948894380527398820796
relative error = 16.65970047206024212539263950941 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.348
y2[1] (analytic) = 1.7790423055054974989953651240988
y2[1] (numeric) = 1.7768725953696810775064491493665
absolute error = 0.0021697101358164214889159747323
relative error = 0.1219594457704545446859240594024 %
h = 0.001
y1[1] (analytic) = 2.9752833932984166726542328989498
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4958578546942136723809449637342
relative error = 16.665903349277351952008194177795 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.349
y2[1] (analytic) = 1.7800176992150867322599314459281
y2[1] (numeric) = 1.7778347183829867707913168248191
absolute error = 0.002182980832099961468614621109
relative error = 0.12263815315221666638583171587685 %
h = 0.001
y1[1] (analytic) = 2.9755038633144288821791644072722
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4960783247102258819058764720566
relative error = 16.6720779907723498540607500308 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=774.4MB, alloc=4.1MB, time=108.17
NO POLE
NO POLE
x[1] = 1.35
y2[1] (analytic) = 1.7809933129069584185799778269894
y2[1] (numeric) = 1.7787969956653048510291237788062
absolute error = 0.0021963172416535675508540481832
relative error = 0.12331979158690452843661966145706 %
h = 0.001
y1[1] (analytic) = 2.9757233578266590692611135392652
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4962978192224560689878256040496
relative error = 16.678224402719033211897746023902 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.351
y2[1] (analytic) = 1.7819691456054989473849562265054
y2[1] (numeric) = 1.7797594259917033932897953887137
absolute error = 0.0022097196137955540951608377917
relative error = 0.12400437006695247462851523274396 %
h = 0.001
y1[1] (analytic) = 2.9759418766156127399611019557882
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4965163380114097396878140205726
relative error = 16.684342591262988804329820101163 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.352
y2[1] (analytic) = 1.7829451963348757014537266738956
y2[1] (numeric) = 1.7807220081363728900813666592115
absolute error = 0.0022231881985028113723600146841
relative error = 0.1246918976013914734825866404206 %
h = 0.001
y1[1] (analytic) = 2.9761594194627711235353574293287
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4967338808585681232620694941131
relative error = 16.690432562521598610963962760526 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.353
y2[1] (analytic) = 1.7839214641190380327470931705336
y2[1] (numeric) = 1.7816847408726262513499822222533
absolute error = 0.0022367232464117813971109482803
relative error = 0.12538238321586385008703289077635 %
h = 0.001
y1[1] (analytic) = 2.9763759861505913909540663778775
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4969504475463883906807784426619
relative error = 16.69649432258404559106775449814 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=778.2MB, alloc=4.1MB, time=108.70
x[1] = 1.354
y2[1] (analytic) = 1.7848979479817182384583703913924
y2[1] (numeric) = 1.7826476229728988044798963370766
absolute error = 0.0022503250088194339784740543158
relative error = 0.12607583595263805312888015795327 %
h = 0.001
y1[1] (analytic) = 2.9765915764625068724441847661739
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4971660378583038721708968309583
relative error = 16.702527877511319438925306949049 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.355
y2[1] (analytic) = 1.78587464694643253728100513609
y2[1] (numeric) = 1.7836106532087482942934728902029
absolute error = 0.0022639937376842429875322458871
relative error = 0.12677226487062345721596676712268 %
h = 0.001
y1[1] (analytic) = 2.9768061901829272740560898315276
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.497380651578724273782801896312
relative error = 16.708533233336222315645752451022 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.356
y2[1] (analytic) = 1.7868515600364820458922762617974
y2[1] (numeric) = 1.7845738303508548830511853954375
absolute error = 0.0022777296856271628410908663599
relative error = 0.12747167904538520058386236783782 %
h = 0.001
y1[1] (analytic) = 2.9770198270972388932538560675845
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4975942884930358929805681323689
relative error = 16.714510396063374557385351016791 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.357
y2[1] (analytic) = 1.7878286862749537556520966143883
y2[1] (numeric) = 1.7855371531690211504516169938697
absolute error = 0.0022915331059326052004796205186
relative error = 0.12817408756915905828213176910447 %
h = 0.001
y1[1] (analytic) = 2.9772324869918048335289398757774
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4978069483876018332556519405618
relative error = 16.720459371669220359944507310758 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.358
y2[1] (analytic) = 1.7888060246847215095159402591121
y2[1] (numeric) = 1.7865006204321720936314604538726
absolute error = 0.0023054042525494158844798052395
relative error = 0.12887949955086635093412027300315 %
h = 0.001
y1[1] (analytic) = 2.9774441696539652180370582707955
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4980186310497622177637703355799
relative error = 16.726380166102033439701213193002 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=782.0MB, alloc=4.1MB, time=109.24
NO POLE
NO POLE
x[1] = 1.359
y2[1] (analytic) = 1.7897835742884469791609180979423
y2[1] (numeric) = 1.7874642309083551271655181711032
absolute error = 0.0023193433800918519953999268391
relative error = 0.12958792411612888916420517914022 %
h = 0.001
y1[1] (analytic) = 2.977654874872037402258048003212
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4982293362678344019847600679964
relative error = 16.732272785281922670842653719429 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.36
y2[1] (analytic) = 1.7907613341085806423240247476081
y2[1] (numeric) = 1.7884279833647400830667021685024
absolute error = 0.0023333507438405592573225791057
relative error = 0.13029937040728395378622743748714 %
h = 0.001
y1[1] (analytic) = 2.9778646024353161856784924394266
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.498439063831113185405204504211
relative error = 16.738137235100837698856936175646 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.361
y2[1] (analytic) = 1.7917393031673627603515793401421
y2[1] (numeric) = 1.789391876567619210786034096295
absolute error = 0.0023474265997435495655452438471
relative error = 0.13101384758339931184658819956376 %
h = 0.001
y1[1] (analytic) = 2.9780733521340740224969045163172
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4986478135298710222236165811016
relative error = 16.743973521422574530247122777184 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.362
y2[1] (analytic) = 1.7927174804868243559588826965854
y2[1] (numeric) = 1.7903559092824071772126452319896
absolute error = 0.0023615712044171787462374645958
relative error = 0.13173136482028826861526725670882 %
h = 0.001
y1[1] (analytic) = 2.978281123759561231351255065431
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4988555851553582310779671302154
relative error = 16.749781650082781098429968093062 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=785.8MB, alloc=4.1MB, time=109.79
NO POLE
NO POLE
x[1] = 1.363
y2[1] (analytic) = 1.7936958650887881911991131142751
y2[1] (numeric) = 1.7913200802736410666737764803787
absolute error = 0.0023757848151471245253366338964
relative error = 0.13245193131052475561779405718426 %
h = 0.001
y1[1] (analytic) = 2.9784879171040062040686367792083
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4990623784998032037953488439927
relative error = 16.755561626888962805781982047385 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.364
y2[1] (analytic) = 1.7946744559948697456404827988988
y2[1] (numeric) = 1.7922843883049803809347783735388
absolute error = 0.00239006768988936470570442536
relative error = 0.13317555626345845480097715952252 %
h = 0.001
y1[1] (analytic) = 2.978693731960615613436855069589
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4992681933564126131635671343734
relative error = 16.761313457620488041795658527466 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.365
y2[1] (analytic) = 1.7956532522264781947506767642417
y2[1] (numeric) = 1.7932488321392070391991110708301
absolute error = 0.0024044200872711555515656934116
relative error = 0.13390224890522995892497460638637 %
h = 0.001
y1[1] (analytic) = 2.9788985681235746199977380474311
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4994730295193716197244501122155
relative error = 16.767037148028593677308928180831 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.366
y2[1] (analytic) = 1.7966322528048173884875958152689
y2[1] (numeric) = 1.7942134105382253781083443588969
absolute error = 0.002418842266592010379251456372
relative error = 0.13463201847878596827406578916917 %
h = 0.001
y1[1] (analytic) = 2.9791024253880470778619588294461
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4996768867838440775886708942305
relative error = 16.772732703836390534771111920326 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=789.6MB, alloc=4.1MB, time=110.32
NO POLE
NO POLE
x[1] = 1.367
y2[1] (analytic) = 1.7976114567508868300954250238814
y2[1] (numeric) = 1.7951781222630621517421576516672
absolute error = 0.0024333344878246783532673722142
relative error = 0.13536487424389452377826491735951 %
h = 0.001
y1[1] (analytic) = 2.979305303550175739545164357848
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.4998797649459727392718764226324
relative error = 16.778400130738868834508868980186 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.368
y2[1] (analytic) = 1.7985908630854826551050489013592
y2[1] (numeric) = 1.796142966073866531618339990353
absolute error = 0.0024478970116161234867089110062
relative error = 0.13610082547716027663769720602768 %
h = 0.001
y1[1] (analytic) = 2.9795072024070824598252058966025
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5000816638028794595519179613869
relative error = 16.784039434402903616955850079359 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.369
y2[1] (analytic) = 1.7995704708291986105378342671576
y2[1] (numeric) = 1.7971079407299101066927900434501
absolute error = 0.0024625300992885038450442237075
relative error = 0.13683988147203979454144134843583 %
h = 0.001
y1[1] (analytic) = 2.9797081217568683986202673470646
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.500282583152665398346979411849
relative error = 16.789650620467260140809982355375 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.37
y2[1] (analytic) = 1.8005502790024270343118016103547
y2[1] (numeric) = 1.7980730449895868833595161067382
absolute error = 0.0024772340128401509522855036165
relative error = 0.13758205153885690457232574642019 %
h = 0.001
y1[1] (analytic) = 2.9799080613986142228876885048919
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5004825227944112226144005696763
relative error = 16.795233694542599257082528235522 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=793.4MB, alloc=4.1MB, time=110.85
NO POLE
NO POLE
x[1] = 1.371
y2[1] (analytic) = 1.8015302866253598348492055376626
y2[1] (numeric) = 1.7990382776104132854506361032809
absolute error = 0.0024920090149465493985694343817
relative error = 0.13832734500481807288895132763797 %
h = 0.001
y1[1] (analytic) = 2.9801070211323803075432813594274
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5006814825281773072699934242118
relative error = 16.80078866221148275900327531585 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.372
y2[1] (analytic) = 1.8025104927179894708845447005008
y2[1] (numeric) = 1.8000036373490281542363775834258
absolute error = 0.002506855368961316648167117075
relative error = 0.13907577121402782127600058326948 %
h = 0.001
y1[1] (analytic) = 2.9803050007592069354009385162525
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5008794621550039351276505810369
relative error = 16.806315529028378707746428625621 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.373
y2[1] (analytic) = 1.803490896300109931472021393205
y2[1] (numeric) = 1.8009691229611927484250777248042
absolute error = 0.0025217733389171830469436684008
relative error = 0.13982733952750418065368071157144 %
h = 0.001
y1[1] (analytic) = 2.9805020000811144961323338033192
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5010764614769114958590458681036
relative error = 16.811814300519666733941990368758 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.374
y2[1] (analytic) = 1.8044714963913177161914708149938
y2[1] (numeric) = 1.8019347332017907441631833323313
absolute error = 0.0025367631895269720282874826625
relative error = 0.140582059323194181636938448927 %
h = 0.001
y1[1] (analytic) = 2.9806980189011036842465161009752
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5012724802969006839732281657596
relative error = 16.81728498218364331493762535777 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=797.2MB, alloc=4.1MB, time=111.39
x[1] = 1.375
y2[1] (analytic) = 1.805452292011012815551779789844
y2[1] (numeric) = 1.8029004668248282350352508382063
absolute error = 0.0025518251861845805165289516377
relative error = 0.14133993999598938223487530933547 %
h = 0.001
y1[1] (analytic) = 2.9808930570231556960891984163071
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5014675184189526958159104810915
relative error = 16.822727579490527027776222893312 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.376
y2[1] (analytic) = 1.8064332821783996915908145409393
y2[1] (numeric) = 1.8038663225834337320639463019122
absolute error = 0.0025669595949659595268682390271
relative error = 0.14210099095774143278058453381858 %
h = 0.001
y1[1] (analytic) = 2.9810871142522324258615452025277
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5016615756480294255882572673121
relative error = 16.828142097882463777854577796703 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.377
y2[1] (analytic) = 1.8074144659124882586708769198454
y2[1] (numeric) = 1.804832299229858163710045410216
absolute error = 0.0025821666826300949608315096294
relative error = 0.14286522163727767818142507046324 %
h = 0.001
y1[1] (analytic) = 2.9812801903942766606582619046366
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.501854651790073660384973969421
relative error = 16.833528542773532003228824677208 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.378
y2[1] (analytic) = 1.8083958422320948644687082950369
y2[1] (numeric) = 1.8057983955154748758724334771684
absolute error = 0.0025974467166199885962748178685
relative error = 0.143632641480416797579543362527 %
h = 0.001
y1[1] (analytic) = 2.9814722852562122745247916932807
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5020467466520092742515037580651
relative error = 16.838886919549747854532470313773 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=801.1MB, alloc=4.1MB, time=111.91
x[1] = 1.379
y2[1] (analytic) = 1.8093774101558432711590601098542
y2[1] (numeric) = 1.8067646101907796318881054441041
absolute error = 0.0026127999650636392709546657501
relative error = 0.14440325994998448151225061366326 %
h = 0.001
y1[1] (analytic) = 2.9816633986459444215334253296345
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5022378600417414212601373944189
relative error = 16.844217233569070350473079255539 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.38
y2[1] (analytic) = 1.8103591687021656367908499264018
y2[1] (numeric) = 1.8077309420053906125321658796416
absolute error = 0.0026282266967750242586840467602
relative error = 0.1451770865258291466616615243019 %
h = 0.001
y1[1] (analytic) = 2.981853530372359727878131085206
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5024279917681567276048431499904
relative error = 16.84951949016140650887387740013 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.381
y2[1] (analytic) = 1.8113411168893034968549215793134
y2[1] (numeric) = 1.8086973897080484160178289796834
absolute error = 0.00264372718125508083709259963
relative error = 0.14595413070483768828280024907691 %
h = 0.001
y1[1] (analytic) = 2.9820426802453264829879126217549
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5026171416411234827146246865393
relative error = 16.854793694628616453226747396833 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.382
y2[1] (analytic) = 1.8123232537353087460424278717053
y2[1] (numeric) = 1.8096639520466160579964185674158
absolute error = 0.0026593016886926880460093042895
relative error = 0.14673440200095127039918051038924 %
h = 0.001
y1[1] (analytic) = 2.9822308480756948296585037179794
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5028053094714918293852157827638
relative error = 16.860039852244518494723298246411 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.383
y2[1] (analytic) = 1.8133055782580446201928540550173
y2[1] (numeric) = 1.8106306277680789715573680933091
absolute error = 0.0026749504899656486354859617082
relative error = 0.14751790994518115385466941525164 %
h = 0.001
y1[1] (analytic) = 2.9824180336752969532022097112956
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.50299249507109395292892177608
relative error = 16.865257968254894189730899434127 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=804.9MB, alloc=4.1MB, time=112.45
NO POLE
NO POLE
x[1] = 1.384
y2[1] (analytic) = 1.8142880894751866784307001448004
y2[1] (numeric) = 1.8115974156185450072282206351173
absolute error = 0.0026906738566416712024795096831
relative error = 0.14830466408562456231024855981091 %
h = 0.001
y1[1] (analytic) = 2.9826042368569472696157065048811
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5031786982527442693424185696655
relative error = 16.870448047877493372680777340292 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.385
y2[1] (analytic) = 1.8152707864042237854898399358487
y2[1] (numeric) = 1.8125643143432444329746288978784
absolute error = 0.0027064720609793525152110379703
relative error = 0.14909467398748058627409146565247 %
h = 0.001
y1[1] (analytic) = 2.9827894574344426127656089722012
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5033639188302396124923210369856
relative error = 16.8756100963020391643354785272 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.386
y2[1] (analytic) = 1.8162536680624590942245743924011
y2[1] (numeric) = 1.8135313226865299342003552139143
absolute error = 0.0027223453759291600242191784868
relative error = 0.14988794923306612525318327314582 %
h = 0.001
y1[1] (analytic) = 2.9829736952225624205916215734637
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5035481566183594203183336382481
relative error = 16.880744118690232955403210805436 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.387
y2[1] (analytic) = 1.8172367334670110283063969024388
y2[1] (numeric) = 1.8144984393918766137472715428307
absolute error = 0.0027382940751344145591253596081
relative error = 0.15068449942183186811451691614594 %
h = 0.001
y1[1] (analytic) = 2.9831569500370689203270849808684
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5037314114328659200537970456528
relative error = 16.885850120175759365466778739857 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.1MB, time=112.99
NO POLE
NO POLE
x[1] = 1.388
y2[1] (analytic) = 1.8182199816348142651054876993967
y2[1] (numeric) = 1.8154656632018819918953594715172
absolute error = 0.0027543184329322732101282278795
relative error = 0.15148433417037831174370971853389 %
h = 0.001
y1[1] (analytic) = 2.983339221694707312736733492119
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5039136830905043124634455569034
relative error = 16.890928105864291177195035469043 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.389
y2[1] (analytic) = 1.8192034115826207187559545698753
y2[1] (numeric) = 1.8164329928582660063627102141474
absolute error = 0.0027704187243547123932443557279
relative error = 0.1522874631124718180886954832704 %
h = 0.001
y1[1] (analytic) = 2.9835205100132059553714789944563
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5040949714090029550981910592407
relative error = 16.895978080833494245804977385171 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.39
y2[1] (analytic) = 1.820187022327000523403836782196
y2[1] (numeric) = 1.8174004271018710123055246121786
absolute error = 0.0027865952251295110983121700174
relative error = 0.15309389589906070967595968727519 %
h = 0.001
y1[1] (analytic) = 2.9837008148112765448400382244429
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5042752762070735445667502892273
relative error = 16.901000050133032383742812357186 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.391
y2[1] (analytic) = 1.8211708128843430166368889878747
y2[1] (numeric) = 1.8183679646726617823181131343521
absolute error = 0.0028028482116812343187758535226
relative error = 0.15390364219829140368659934758883 %
h = 0.001
y1[1] (analytic) = 2.9838801359086142980972210518888
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5044545973044112978239331166732
relative error = 16.905994018784572220552535782132 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=812.5MB, alloc=4.1MB, time=113.52
NO POLE
NO POLE
x[1] = 1.392
y2[1] (analytic) = 1.8221547822708577230951616663156
y2[1] (numeric) = 1.8193356043097255064328958766931
absolute error = 0.0028191779611322166622657896225
relative error = 0.15471671169552458467930448504644 %
h = 0.001
y1[1] (analytic) = 2.9840584731258981327486984996431
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5046329345216951324754105644275
relative error = 16.910959991781788037900751820753 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.393
y2[1] (analytic) = 1.8231389295025753382613945022233
y2[1] (numeric) = 1.8203033447512717921204025625106
absolute error = 0.0028355847513035461409919397127
relative error = 0.15553311409335141604717487707139 %
h = 0.001
y1[1] (analytic) = 2.9842358262847908463720701945001
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5048102876805878460987822592845
relative error = 16.915897974090366579726679717301 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.394
y2[1] (analytic) = 1.824123253595348712430238905424
y2[1] (numeric) = 1.8212711847346326642892725423976
absolute error = 0.0028520688607160481409663630264
relative error = 0.1563528591116097902951039607065 %
h = 0.001
y1[1] (analytic) = 2.9844121952079392948540519281666
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.504986656603736294580763992951
relative error = 16.920807970648011837486487123016 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.395
y2[1] (analytic) = 1.8251077535648538348553257039542
y2[1] (numeric) = 1.8222391229962625652862547942309
absolute error = 0.0028686305685912695690709097233
relative error = 0.15717595648740061822428131716165 %
h = 0.001
y1[1] (analytic) = 2.9845875797189745697436049911178
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5051620411147715694703170559022
relative error = 16.925689986364449810461293841245 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.1MB, time=114.06
NO POLE
NO POLE
x[1] = 1.396
y2[1] (analytic) = 1.8260924284265908180731938634319
y2[1] (numeric) = 1.8232071582717383548962079231712
absolute error = 0.0028852701548524631769859402607
relative error = 0.15800241597510415711018613828696 %
h = 0.001
y1[1] (analytic) = 2.9847619796425121746208299262279
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5053364410383091743475419910123
relative error = 16.930544026121433241098390392878 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.397
y2[1] (analytic) = 1.827077277195884882403095908863
y2[1] (numeric) = 1.824175289295759310342100161663
absolute error = 0.0029019879001255720609957472
relative error = 0.15883224734639637796026644103307 %
h = 0.001
y1[1] (analytic) = 2.9849353948041522004814483332946
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.505509856199949200208160398079
relative error = 16.935370094772746325355416266831 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.398
y2[1] (analytic) = 1.8280622988878873406216955491598
y2[1] (numeric) = 1.8251435148021471262850093694348
absolute error = 0.002918784085740214336686179725
relative error = 0.15966546039026537193732255586253 %
h = 0.001
y1[1] (analytic) = 2.985107825030479500136697339993
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5056822864262764998634094047774
relative error = 16.94016819714420939801744267506 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.399
y2[1] (analytic) = 1.8290474925175765828116728297563
y2[1] (numeric) = 1.826111833523845914824123033499
absolute error = 0.0029356589937306679875497962573
relative error = 0.16050206491302779603443856698819 %
h = 0.001
y1[1] (analytic) = 2.9852792701490638616284623393761
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5058537315448608613551744041605
relative error = 16.944938338033683592957104077947 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=820.1MB, alloc=4.1MB, time=114.59
x[1] = 1.4
y2[1] (analytic) = 1.8300328570997590613832519647964
y2[1] (numeric) = 1.8270802441929222054967382681518
absolute error = 0.0029526129068368558865136966446
relative error = 0.16134207073834535808713192368039 %
h = 0.001
y1[1] (analytic) = 2.9854497299884601806594745788061
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5060241913842571803861866435905
relative error = 16.949680522211075478308121687513 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.401
y2[1] (analytic) = 1.8310183916490702762676668274503
y2[1] (numeric) = 1.8280487455405649452782618149733
absolute error = 0.002969646108505330989405012477
relative error = 0.16218548770724134120821937075251 %
h = 0.001
y1[1] (analytic) = 2.985619204378208632038401170131
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5061936657740056317651132349154
relative error = 16.954394754418341666522760595394 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.402
y2[1] (analytic) = 1.8320040951799757602815789049752
y2[1] (numeric) = 1.8290173362970854985822100428276
absolute error = 0.0029867588828902616993688621476
relative error = 0.16303232567811716773072665996885 %
h = 0.001
y1[1] (analytic) = 2.9857876931488348401396560760331
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5063621545446318398663681408175
relative error = 16.959081039369493399283960113671 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.403
y2[1] (analytic) = 1.8329899667067720646614623541841
y2[1] (numeric) = 1.8299860151919176472602089478625
absolute error = 0.0030039515148544174012534063216
relative error = 0.16388259452676900274400020041022 %
h = 0.001
y1[1] (analytic) = 2.9859551961318500483777616127503
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5065296575276470481044736775347
relative error = 16.963739381750601107243074362032 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.404
y2[1] (analytic) = 1.8339760052435877447669706230202
y2[1] (numeric) = 1.8309547809536175906019941535098
absolute error = 0.0030212242899701541649764695104
relative error = 0.16473630414640439730801088227043 %
h = 0.001
y1[1] (analytic) = 2.9861217131597512876960909948252
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5066961745555482874228030596096
relative error = 16.968369786219798944554357088135 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=823.9MB, alloc=4.1MB, time=115.12
NO POLE
NO POLE
x[1] = 1.405
y2[1] (analytic) = 1.8349622098043843459522989349528
y2[1] (numeric) = 1.8319236323098639453354109104851
absolute error = 0.0030385774945204006168880244677
relative error = 0.16559346444765897143067376295144 %
h = 0.001
y1[1] (analytic) = 2.9862872440660215440698234331509
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5068617054618185437965354979353
relative error = 16.97297225740728929817752117198 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.406
y2[1] (analytic) = 1.8359485794029573896045567649132
y2[1] (numeric) = 1.8328925679874577456264140967879
absolute error = 0.0030560114154996439781426681253
relative error = 0.16645408535861313689284213382949 %
h = 0.001
y1[1] (analytic) = 2.9864517886851299250229442833751
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5070262500809269247496563481595
relative error = 16.977546799915347271919899243456 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.407
y2[1] (analytic) = 1.8369351130529373593481642684816
y2[1] (numeric) = 1.8338615867123224430790682177017
absolute error = 0.0030735263406149162690960507799
relative error = 0.16731817682480886000547068894949 %
h = 0.001
y1[1] (analytic) = 2.9866153468525318251591237276735
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5071898082483288248858357924579
relative error = 16.982093418318325145189927337364 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.408
y2[1] (analytic) = 1.8379218097677906874142864600103
y2[1] (numeric) = 1.8348306872095039067355474057938
absolute error = 0.0030911225582867806787390542165
relative error = 0.16818574880926646438328009007087 %
h = 0.001
y1[1] (analytic) = 2.9867779184046690907063084590303
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5073523798004660904330205238147
relative error = 16.98661211716265680643386852608 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=827.8MB, alloc=4.1MB, time=115.66
NO POLE
NO POLE
x[1] = 1.409
y2[1] (analytic) = 1.8389086685608207411743187703302
y2[1] (numeric) = 1.8357998682031704230761354209154
absolute error = 0.0031088003576503180981833494148
relative error = 0.16905681129250147381909416380473 %
h = 0.001
y1[1] (analytic) = 2.986939503178970183074861823445
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5075139645747671828015738882294
relative error = 16.991102900966862161227888009053 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.41
y2[1] (analytic) = 1.8398956884451688098364374506391
y2[1] (numeric) = 1.8367691284166126960192256502015
absolute error = 0.0031265600285561138172118004376
relative error = 0.16993137427254149534286127388055 %
h = 0.001
y1[1] (analytic) = 2.9871001010138503414290888619422
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5076745624096473411558009267266
relative error = 16.995565774221551514997785204288 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.411
y2[1] (analytic) = 1.8408828684338150913042281261022
y2[1] (numeric) = 1.8377384665722438469213211080711
absolute error = 0.0031444018615712443829070180311
relative error = 0.17080944776494314254921308165551 %
h = 0.001
y1[1] (analytic) = 2.9872597117487117442719836808696
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.507834173144508743998695745654
relative error = 17.000000741389429930338881982351 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.412
y2[1] (analytic) = 1.841870207539579679196405640619
y2[1] (numeric) = 1.8387078813915994145770344362271
absolute error = 0.0031623261479802646193712043919
relative error = 0.17169104180280899927725693920616 %
h = 0.001
y1[1] (analytic) = 2.9874183352239436700430375657528
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5079927966197406697697496305372
relative error = 17.004407806905301558908759312105 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.1MB, time=116.21
NO POLE
NO POLE
x[1] = 1.413
y2[1] (analytic) = 1.8428577047751235500266381731191
y2[1] (numeric) = 1.8396773715953373552190879036561
absolute error = 0.003180333179786194807550269463
relative error = 0.17257616643680462372614254860733 %
h = 0.001
y1[1] (analytic) = 2.987575971280922656728947240911
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5081504326767196564556593056954
relative error = 17.008786975176073947865727251712 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.414
y2[1] (analytic) = 1.8438453591529495505424884456446
y2[1] (numeric) = 1.8406469359032380425183134066288
absolute error = 0.0031984232497115080241750390158
relative error = 0.17346483173517559308978926605521 %
h = 0.001
y1[1] (analytic) = 2.9877326197620126604870636641387
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5083070811578096602137757289231
relative error = 17.013138250580762320826105422174 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.415
y2[1] (analytic) = 1.8448331696854033852224846843611
y2[1] (numeric) = 1.8416165730342042675836524686996
absolute error = 0.0032165966511991176388322156615
relative error = 0.17435704778376458879400752806237 %
h = 0.001
y1[1] (analytic) = 2.9878882805105652132814227330185
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5084627419063622130081347978029
relative error = 17.01746163747049383331358284655 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.416
y2[1] (analytic) = 1.8458211353846746039303338365071
y2[1] (numeric) = 1.8425862817062612389621562407069
absolute error = 0.0032348536784133649681775958002
relative error = 0.17525282468602852241909632580022 %
h = 0.001
y1[1] (analytic) = 2.9880429533709195795312002668466
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.508617414766716579257912331631
relative error = 17.021757140168511802674117329243 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=835.4MB, alloc=4.1MB, time=116.74
NO POLE
NO POLE
x[1] = 1.417
y2[1] (analytic) = 1.8468092552627975897252893891526
y2[1] (numeric) = 1.843556060636556582638985500773
absolute error = 0.0032531946262410070863038883796
relative error = 0.17615217256305570239084845135391 %
h = 0.001
y1[1] (analytic) = 2.988196638188402911771434615729
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5087710995841999114981466805134
relative error = 17.026024762970179912430025389524 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.418
y2[1] (analytic) = 1.84779752833165254682768597948
y2[1] (numeric) = 1.844525908541360342037410654304
absolute error = 0.003271619790292204790275325176
relative error = 0.17705510155358304152274638247338 %
h = 0.001
y1[1] (analytic) = 2.9883493348093304053258612361401
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5089237962051274050525733009245
relative error = 17.030264510142986391047104154794 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.419
y2[1] (analytic) = 1.8487859536029664887386528311363
y2[1] (numeric) = 1.84549582413606497801881173399
absolute error = 0.0032901294669015107198410971463
relative error = 0.17796162181401330549198415877714 %
h = 0.001
y1[1] (analytic) = 2.9885010430810054519917045601206
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.509075504476802451718416624905
relative error = 17.034476385926548165088816565062 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.42
y2[1] (analytic) = 1.8497745300883142265130178970241
y2[1] (numeric) = 1.8464658061351853688826783998048
absolute error = 0.0033087239531288576303394972193
relative error = 0.17887174351843240233180442909866 %
h = 0.001
y1[1] (analytic) = 2.9886517628517197927362734733357
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5092262242475167924629855381201
relative error = 17.038660394532614986731760743902 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.1MB, time=117.27
NO POLE
NO POLE
x[1] = 1.421
y2[1] (analytic) = 1.8507632567991193571844144357107
y2[1] (numeric) = 1.8474358532523588103666099390063
absolute error = 0.0033274035467605468178044967044
relative error = 0.17978547685862671302249501454473 %
h = 0.001
y1[1] (analytic) = 2.9888014939707536694052077054123
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5093759553665506691319197701967
relative error = 17.042816540145073535616833455824 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.422
y2[1] (analytic) = 1.8517521327466552523416015964309
y2[1] (numeric) = 1.8484059642003450156463152661361
absolute error = 0.0033461685463102366952863302948
relative error = 0.18070283204410046326324583222514 %
h = 0.001
y1[1] (analytic) = 2.9889502362883759754422234243195
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5095246976841729751689354891039
relative error = 17.046944826919951495010686198496 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.423
y2[1] (analytic) = 1.8527411569420460468550104364443
y2[1] (numeric) = 1.8493761376910261153356129230198
absolute error = 0.0033650192510199315193975134245
relative error = 0.18162381930209313650692485759719 %
h = 0.001
y1[1] (analytic) = 2.9890979896558444056202073150606
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.509672451051641405346919379845
relative error = 17.051045258985421602252260673895 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.424
y2[1] (analytic) = 1.8537303283962676277525266442858
y2[1] (numeric) = 1.8503463724354066574864310787668
absolute error = 0.003383955960860970266095565519
relative error = 0.18254844887759692833969096717012 %
h = 0.001
y1[1] (analytic) = 2.9892447539254056047835094115948
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5098192153212026045102214763792
relative error = 17.055117840441805673459378148142 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=843.0MB, alloc=4.1MB, time=117.80
x[1] = 1.425
y2[1] (analytic) = 1.8547196461201486232435210932057
y2[1] (numeric) = 1.8513166671436136075888075297704
absolute error = 0.0034029789765350156547135634353
relative error = 0.18347673103337424228722199406544 %
h = 0.001
y1[1] (analytic) = 2.9893905289502953156012859397082
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5099649903460923153279980044926
relative error = 17.059162575361578602470544548593 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.426
y2[1] (analytic) = 1.8557091091243713918901392008544
y2[1] (numeric) = 1.8522870205248963485708896997079
absolute error = 0.0034220885994750433192495011465
relative error = 0.1844086760499752271291981455735 %
h = 0.001
y1[1] (analytic) = 2.9895353145847385253317444175028
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5101097759805355250584564822872
relative error = 17.063179467789372333997320061821 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.427
y2[1] (analytic) = 1.856698716419473011924859924003
y2[1] (numeric) = 1.8532574312876266807989346395403
absolute error = 0.0034412851318463311259252844627
relative error = 0.18534429422575535580354407028614 %
h = 0.001
y1[1] (analytic) = 2.989679110683949611597144249272
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5102535720797466113238563140564
relative error = 17.067168521741979810962788490517 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.428
y2[1] (analytic) = 1.8576884670158462707133350708233
y2[1] (numeric) = 1.8542278981392988220773090275126
absolute error = 0.0034605688765474486360260433107
relative error = 0.18628359587689304598179732094132 %
h = 0.001
y1[1] (analytic) = 2.989821917104132487169407037773
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5103963784999294868961191025574
relative error = 17.071129741208358896001847703966 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.429
y2[1] (analytic) = 1.8586783599237406543615194679712
y2[1] (numeric) = 1.8551984197865294076484891691537
absolute error = 0.0034799401372112467130302988175
relative error = 0.18722659133740732239683673500198 %
h = 0.001
y1[1] (analytic) = 2.9899637337024807437661918292979
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5105381950982777434929038940823
relative error = 17.075063130149636267099228178856 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.1MB, time=118.34
NO POLE
NO POLE
x[1] = 1.43
y2[1] (analytic) = 1.8596683941532633374661023754251
y2[1] (numeric) = 1.8561689949350574901930609972763
absolute error = 0.0034993992182058472730413781488
relative error = 0.18817329095917552100407134512744 %
h = 0.001
y1[1] (analytic) = 2.9901045603371777948572914954818
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5106790217329747945840035602662
relative error = 17.078968692499111287341331877744 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.431
y2[1] (analytic) = 1.8606585687143801730072503987307
y2[1] (numeric) = 1.8571396222897445398297200719771
absolute error = 0.0035189464246356331775303267536
relative error = 0.18912370511195103505705883396492 %
h = 0.001
y1[1] (analytic) = 2.9902443968673970174812074454609
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5108188582631940172079195102453
relative error = 17.082846432162259848758168554366 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.432
y2[1] (analytic) = 1.8616488826169166823826720059914
y2[1] (numeric) = 1.8581103005545744441152715806366
absolute error = 0.0035385820623422382674004253548
relative error = 0.19007784418338110317839225916797 %
h = 0.001
y1[1] (analytic) = 2.9903832431533018930717608518196
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.510957704549098892798472916604
relative error = 17.086696353016738190231851011639 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.433
y2[1] (analytic) = 1.8626393348705590455820136156229
y2[1] (numeric) = 1.8590810284326535080446303379191
absolute error = 0.0035583064379055375373832777038
relative error = 0.19103571857902463950656479258931 %
h = 0.001
y1[1] (analytic) = 2.9905210990560461472945995637266
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.511095560451843147021311628511
relative error = 17.090518458912386689448294872146 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=850.6MB, alloc=4.1MB, time=118.88
NO POLE
NO POLE
x[1] = 1.434
y2[1] (analytic) = 1.8636299244848550915005970805575
y2[1] (numeric) = 1.860051804626210454050820785773
absolute error = 0.0035781198586446374497762947845
relative error = 0.19199733872237010599939453951951 %
h = 0.001
y1[1] (analytic) = 2.9906579644377738888934608707648
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5112324258335708886201729355492
relative error = 17.094312753671233628868952055606 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.435
y2[1] (analytic) = 1.8646206504692152883915082552446
y2[1] (numeric) = 1.8610226278365964220049769934304
absolute error = 0.0035980226326188663865312618142
relative error = 0.19296271505485342697446512725578 %
h = 0.001
y1[1] (analytic) = 2.990793839161619747546051271203
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5113683005574167472727633359874
relative error = 17.098079241087498935699590395995 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.436
y2[1] (analytic) = 1.8656115118329137344550461934394
y2[1] (numeric) = 1.8619934967642849692163426574073
absolute error = 0.0036180150686287652387035360321
relative error = 0.19393185803587594596691267376516 %
h = 0.001
y1[1] (analytic) = 2.9909287230917090107294053888426
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.511503184487506010456117453627
relative error = 17.101817924927597895833314675934 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.437
y2[1] (analytic) = 1.8666025075850891485645423874153
y2[1] (numeric) = 1.8629644101088720704322711015037
absolute error = 0.0036380974762170781322712859116
relative error = 0.19490477814282242498476596519377 %
h = 0.001
y1[1] (analytic) = 2.9910626160931577595945871730905
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5116370774889547593212992378749
relative error = 17.105528808930144841745206810397 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.1MB, time=119.43
NO POLE
NO POLE
x[1] = 1.438
y2[1] (analytic) = 1.8675936367347458611275593228612
y2[1] (numeric) = 1.8639353665690761178382252768034
absolute error = 0.0036582701656697432893340460578
relative error = 0.19588148587107908624192418155216 %
h = 0.001
y1[1] (analytic) = 2.991195518032073003850597507569
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5117699794278700035773095723534
relative error = 17.109211896805956814316144978967 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.439
y2[1] (analytic) = 1.8685848982907548050814774883499
y2[1] (numeric) = 1.8649063648427379210577777616741
absolute error = 0.0036785334480168840236997266758
relative error = 0.19686199173405169644873531139985 %
h = 0.001
y1[1] (analytic) = 2.991327428775552815657353343366
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5119018901713498153840654081504
relative error = 17.112867192238057198563543188682 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.44
y2[1] (analytic) = 1.8695762912618545070224798438708
y2[1] (numeric) = 1.8658774036268207071526107617674
absolute error = 0.0036988876350337998698690821034
relative error = 0.19784630626318369374001848523124 %
h = 0.001
y1[1] (analytic) = 2.991458348191686462527604463958
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5120328095874834622543165287424
relative error = 17.116494698881679333256934051012 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.441
y2[1] (analytic) = 1.8705678146566520784669426195275
y2[1] (numeric) = 1.8668484816174101206225161100187
absolute error = 0.0037193330392419578444265095088
relative error = 0.19883444000797435732025483161945 %
h = 0.001
y1[1] (analytic) = 2.9915882761495545392376549798994
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5121627375453515389643670446838
relative error = 17.12009442036427009439649847959 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=858.3MB, alloc=4.1MB, time=119.96
NO POLE
NO POLE
x[1] = 1.442
y2[1] (analytic) = 1.8715594674836242072442411830899
y2[1] (numeric) = 1.8678195975097142234053952666474
absolute error = 0.0037398699739099838388459164425
relative error = 0.19982640353599701990555411634782 %
h = 0.001
y1[1] (analytic) = 2.9917172125192290987467576425684
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5122916739150260984734697073528
relative error = 17.123666360285493452532826563189 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.443
y2[1] (analytic) = 1.872551248751118149019979583679
y2[1] (numeric) = 1.8687907499980634948772593191568
absolute error = 0.0037604987530546541427202645222
relative error = 0.20082220743291732304188836105421 %
h = 0.001
y1[1] (analytic) = 2.9918451571717737821250500575858
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5124196185675707818517621223702
relative error = 17.127210522217234003906374043843 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.444
y2[1] (analytic) = 1.873543157467352718948652248437
y2[1] (numeric) = 1.8697619377759108318522289823339
absolute error = 0.0037812196914418870964232661031
relative error = 0.20182186230251151537896885068355 %
h = 0.001
y1[1] (analytic) = 2.9919721099792439474899028699808
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5125465713750409472166149347652
relative error = 17.130726909703600475385258636103 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.445
y2[1] (analytic) = 1.8745351926404192834547461796033
y2[1] (numeric) = 1.8707331595358315485825345982497
absolute error = 0.0038020331045877348722115813536
relative error = 0.2028253787666847939790294260809 %
h = 0.001
y1[1] (analytic) = 2.9920980708146867979505509847679
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5126725322104837976772630495523
relative error = 17.134215526260929203180219863159 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=862.1MB, alloc=4.1MB, time=120.50
x[1] = 1.446
y2[1] (analytic) = 1.875527353278282752141291870978
y2[1] (numeric) = 1.8717044139695233767585161362592
absolute error = 0.0038229393087593753827757347188
relative error = 0.20383276746548968873966671665389 %
h = 0.001
y1[1] (analytic) = 2.9922230395521415085608798783119
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5127975009479385082875919430963
relative error = 17.137676375377787585315745161803 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.447
y2[1] (analytic) = 1.8765196383887825698248710353027
y2[1] (numeric) = 1.8726756997678064655086231930011
absolute error = 0.0038439386209761043162478423016
relative error = 0.20484403905714449000977699491422 %
h = 0.001
y1[1] (analytic) = 2.9923470160666393522802400477078
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5129214774624363520069521124922
relative error = 17.141109460514977507836543724187 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.448
y2[1] (analytic) = 1.8775120469796337086960891076355
y2[1] (numeric) = 1.873647015620623381399414992398
absolute error = 0.0038650313590103272966741152375
relative error = 0.2058592042180517194775196278553 %
h = 0.001
y1[1] (analytic) = 2.9924700002342038249421636373698
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5130444616300008246688757021542
relative error = 17.144514785105538744728727902685 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.449
y2[1] (analytic) = 1.8785045780584276606045203643295
y2[1] (numeric) = 1.8746183602170391084355603856565
absolute error = 0.003886217841388552168959978673
relative error = 0.2068782736428166444091286561686 %
h = 0.001
y1[1] (analytic) = 2.9925919919318507692308582741243
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5131664533276477689575703389087
relative error = 17.147892352554752331535240008181 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.45
memory used=865.9MB, alloc=4.1MB, time=121.04
y2[1] (analytic) = 1.879497230632633429467133372752
y2[1] (numeric) = 1.875589732245241048059837851267
absolute error = 0.003907498387392381407295521485
relative error = 0.20790125804426583531728684880588 %
h = 0.001
y1[1] (analytic) = 2.992712991037588497665354134323
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5132874524333854973920661991074
relative error = 17.151242166240143912645239984497 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.451
y2[1] (analytic) = 1.8804900037095985237992043634025
y2[1] (numeric) = 1.8765611303925390191531354950038
absolute error = 0.0039288733170595046460688683987
relative error = 0.20892816815346576713767065453105 %
h = 0.001
y1[1] (analytic) = 2.9928329974304179145911812588387
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5134074588262149143178933236231
relative error = 17.154564229511487062237346745583 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.452
y2[1] (analytic) = 1.8814828962965499493667259935982
y2[1] (numeric) = 1.8775325533453652580344510499251
absolute error = 0.0039503429511846913322749436731
relative error = 0.20995901471974146399216980103865 %
h = 0.001
y1[1] (analytic) = 2.992952010990332637179455124278
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5135264723861296369061671890624
relative error = 17.157858545690806578856802920366 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.453
y2[1] (analytic) = 1.8824759074005952019593188504015
y2[1] (numeric) = 1.878503999789274418460891876373
absolute error = 0.0039719076113207834984269740285
relative error = 0.2109938085106951876171818732841 %
h = 0.001
y1[1] (analytic) = 2.993070031598319115433249471334
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5136444929941161151599615361184
relative error = 17.161125118072381753606809365757 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.454
y2[1] (analytic) = 1.8834690360287232602826529199597
y2[1] (numeric) = 1.8794754684089435716276749619734
absolute error = 0.0039935676197796886549779579863
relative error = 0.21203256031222516953528003292756 %
h = 0.001
y1[1] (analytic) = 2.9931870591363567512011363839172
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5137615205321537509278484487016
relative error = 17.164363949922749611934452084294 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=869.7MB, alloc=4.1MB, time=121.57
NO POLE
NO POLE
x[1] = 1.455
y2[1] (analytic) = 1.8844622811878055789693861309197
y2[1] (numeric) = 1.8804469578881722061681269216361
absolute error = 0.0040153232996333728012592092836
relative error = 0.21307528092854438704845111775297 %
h = 0.001
y1[1] (analytic) = 2.9933030934874180161977746055338
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5138775548832150159244866703182
relative error = 17.167575044480708128991820122012 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.456
y2[1] (analytic) = 1.8854556418845970817076269610606
y2[1] (numeric) = 1.8814184669098822281536839975549
absolute error = 0.0040371749747148535539429635057
relative error = 0.21412198118219938313100168037954 %
h = 0.001
y1[1] (analytic) = 2.9934181345354685690314280723334
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5139925959312655687581401371178
relative error = 17.170758404957319418553088627571 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.457
y2[1] (analytic) = 1.8864491171257371544859279787649
y2[1] (numeric) = 1.8823899941561179610938920592074
absolute error = 0.0040591229696191933920359195575
relative error = 0.21517267191408913030013108721186 %
h = 0.001
y1[1] (analytic) = 2.9935321821654673712382976353168
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5141066435612643709650097001012
relative error = 17.173914034535912895468516528097 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.458
y2[1] (analytic) = 1.8874427059177506389538170744175
y2[1] (numeric) = 1.883361538308046145936406603355
absolute error = 0.0040811676097044930174104710625
relative error = 0.21622736398348393854207359818455 %
h = 0.001
y1[1] (analytic) = 2.9936452362633668023235499373824
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5142196976591638020502620021668
relative error = 17.177041936372088411636483223798 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=873.5MB, alloc=4.1MB, time=122.10
NO POLE
NO POLE
x[1] = 1.459
y2[1] (analytic) = 1.8884364072670488258968730212842
y2[1] (numeric) = 1.8843330980459559410669927540432
absolute error = 0.004103309221092884829880267241
relative error = 0.2172860682680444073716153829336 %
h = 0.001
y1[1] (analytic) = 2.9937572967161127738089284041912
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5143317581119097735356404689756
relative error = 17.180142113593719365474863324939 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.46
y2[1] (analytic) = 1.8894302201799304488253518908766
y2[1] (numeric) = 1.8853046720492589223095252626012
absolute error = 0.0041255481306715265158266282754
relative error = 0.21834879566384042210269769667322 %
h = 0.001
y1[1] (analytic) = 2.99386836341164484228683230125
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5144428248074418420135443660344
relative error = 17.183214569300955784873212754258 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.461
y2[1] (analytic) = 1.8904241436625826776753707342597
y2[1] (numeric) = 1.8862762589964890829259885076421
absolute error = 0.0041478846660935947493822266176
relative error = 0.21941555708537019440772393632965 %
h = 0.001
y1[1] (analytic) = 2.9939784362388963214807508031421
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5145528976346933212074628679265
relative error = 17.186259306566227383607413518197 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.462
y2[1] (analytic) = 1.8914181767210821126216548282017
y2[1] (numeric) = 1.887247857565302833616476495063
absolute error = 0.0041703191557792790051783331387
relative error = 0.22048636346557934724309602196366 %
h = 0.001
y1[1] (analytic) = 2.9940875150877943933119400144811
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5146619764835913930386520792655
relative error = 17.189276328434246591198598114408 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=877.4MB, alloc=4.1MB, time=122.64
NO POLE
NO POLE
x[1] = 1.463
y2[1] (analytic) = 1.892412318361395778000854673502
y2[1] (numeric) = 1.8882194664324790025191928580447
absolute error = 0.0041928519289167754816618154573
relative error = 0.22156122575588004421841449700725 %
h = 0.001
y1[1] (analytic) = 2.9941955998492602179722318759202
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5147700612450572176989439407046
relative error = 17.192265637922011556198347893801 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.464
y2[1] (analytic) = 1.8934065675893821163444388222618
y2[1] (numeric) = 1.8891910842739188352104508570521
absolute error = 0.0042154833154632811339879652097
relative error = 0.22264015492617016348668691053885 %
h = 0.001
y1[1] (analytic) = 2.9943026904152090430028648824176
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.514877151811006042729576947202
relative error = 17.195227238018809122882332735742 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.465
y2[1] (analytic) = 1.8944009234107919825201685012882
y2[1] (numeric) = 1.8901627097646459947046733798338
absolute error = 0.0042382136461459878154951214544
relative error = 0.22372316196485251623280043349954 %
h = 0.001
y1[1] (analytic) = 2.9944087866785503113792275349352
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5149832480743473111059395997196
relative error = 17.198161131686217781334732127864 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.466
y2[1] (analytic) = 1.8953953848312696379811598902411
y2[1] (numeric) = 1.8911343415788065614543929414224
absolute error = 0.0042610432524630765267669488187
relative error = 0.22481025787885410983742726476113 %
h = 0.001
y1[1] (analytic) = 2.9945138885331877686014064408375
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5150883499289847683281185056219
relative error = 17.201067321858110590905950170328 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=881.2MB, alloc=4.1MB, time=123.17
NO POLE
NO POLE
x[1] = 1.467
y2[1] (analytic) = 1.8963899508563537451215398055408
y2[1] (numeric) = 1.8921059783896690333502516841343
absolute error = 0.0042839724666847117712881214065
relative error = 0.22590145369364545579344519998418 %
h = 0.001
y1[1] (analytic) = 2.9946179958740195687904319724508
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5151924572698165685171440372352
relative error = 17.203945811440658077026309150903 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.468
y2[1] (analytic) = 1.8973846204914783617377004344665
y2[1] (numeric) = 1.8930776188696243257210013775699
absolute error = 0.0043070016218540360166990568966
relative error = 0.22699676045325992245187076358694 %
h = 0.001
y1[1] (analytic) = 2.9947211085969383797901153875459
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5152955699927353795168274523303
relative error = 17.206796603312331101358578165144 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.469
y2[1] (analytic) = 1.8983793927419739355941586582709
y2[1] (numeric) = 1.8940492616901857713335034186134
absolute error = 0.0043301310517881642606552396575
relative error = 0.22809618922031313267421853841094 %
h = 0.001
y1[1] (analytic) = 2.9948232265988314872743723099161
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5153976879946284870010843747005
relative error = 17.209619700323903705272364787858 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.47
y2[1] (analytic) = 1.8993742666130682990930253985376
y2[1] (numeric) = 1.8950209055219891203927288314328
absolute error = 0.0043533610910791787002965671048
relative error = 0.22919975107602240646811776688152 %
h = 0.001
y1[1] (analytic) = 2.9949243497775808978599284627356
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.51549881117337789758664052752
relative error = 17.212415105298455926623569041074 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=885.0MB, alloc=4.1MB, time=123.70
x[1] = 1.471
y2[1] (analytic) = 1.9003692411098876640460903173915
y2[1] (numeric) = 1.8959925490347925405417582674802
absolute error = 0.0043766920750951235043320499113
relative error = 0.2303074571202262486829359377715 %
h = 0.001
y1[1] (analytic) = 2.9950244780320634412243045420014
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5155989394278604409510166067858
relative error = 17.215182821031376589822269852581 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.472
y2[1] (analytic) = 1.9013643152374576165485270995636
y2[1] (numeric) = 1.8969641908974766168617820054914
absolute error = 0.0044001243399809996867450940722
relative error = 0.23141931847140388184207891254156 %
h = 0.001
y1[1] (analytic) = 2.995123611262150871228978112082
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5156980726579478709556901768664
relative error = 17.217922850290366069172584860794 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.473
y2[1] (analytic) = 1.9023594880007041119532244426849
y2[1] (numeric) = 1.8979358297780443518720999514861
absolute error = 0.0044236582226597600811244911988
relative error = 0.23253534626669482418855818026705 %
h = 0.001
y1[1] (analytic) = 2.9952217493687099660476214002196
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.515796210764506965774333465004
relative error = 17.22063519581543902546821479906 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.474
y2[1] (analytic) = 1.903354758404454469944747781564
y2[1] (numeric) = 1.898907464343621165530121638768
absolute error = 0.004447294060833304414626142796
relative error = 0.23365555166191851302033805923445 %
h = 0.001
y1[1] (analytic) = 2.9953188922536026272993148617564
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5158933536493996270260269265408
relative error = 17.223319860318927115827553788456 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.475
y2[1] (analytic) = 1.9043501254534383697119366725675
y2[1] (numeric) = 1.8998790932604548952313662279246
absolute error = 0.0044710321929834744805704446429
relative error = 0.23477994583159397339189908205773 %
h = 0.001
y1[1] (analytic) = 2.9954150398196859781866373828792
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5159895012154829779133494476636
relative error = 17.225976846485481676752416685448 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=888.8MB, alloc=4.1MB, time=124.23
NO POLE
NO POLE
x[1] = 1.476
y2[1] (analytic) = 1.9053455881522888452181426655897
y2[1] (numeric) = 1.9008507151939157958094625068272
absolute error = 0.0044948729583730494086801587625
relative error = 0.23590853996895953225837840787885 %
h = 0.001
y1[1] (analytic) = 2.9955101919708124606385349828016
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.516084653366609460365247047586
relative error = 17.228606156972076380394604172556 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.477
y2[1] (analytic) = 1.9063411455055432805681123934568
y2[1] (numeric) = 1.9018223288084965395361488906312
absolute error = 0.0045188166970467410319635028256
relative error = 0.23704134528599257813857389650661 %
h = 0.001
y1[1] (analytic) = 2.9956043486118299314578708725214
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5161788100076269311845829373058
relative error = 17.231207794408009864014695548909 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.478
y2[1] (analytic) = 1.9073367965176444054705205119649
y2[1] (numeric) = 1.9027939327678122161212734217757
absolute error = 0.0045428637498321893492470901892
relative error = 0.23817837301342936637302545257721 %
h = 0.001
y1[1] (analytic) = 2.9956975096485817574735607226122
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5162719710443787572002727873966
relative error = 17.233781761394908332617628176614 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.479
y2[1] (analytic) = 1.9083325401929412907951570281025
y2[1] (numeric) = 1.9037655257346003327127937699838
absolute error = 0.0045670144583409580823632581187
relative error = 0.23931963440078487005331540003648 %
h = 0.001
y1[1] (analytic) = 2.9957896749879069096971979879224
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5163641363837039094239100527068
relative error = 17.236328060506728134749791270701 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=892.6MB, alloc=4.1MB, time=124.77
NO POLE
NO POLE
x[1] = 1.48
y2[1] (analytic) = 1.9093283755356903442237734593522
y2[1] (numeric) = 1.9047371063707208138967772322624
absolute error = 0.0045912691649695303269962270898
relative error = 0.24046514071637267669865897581676 %
h = 0.001
y1[1] (analytic) = 2.9958808445376400564840751325627
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5164553059334370562107871973471
relative error = 17.238846694289758311442530188011 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.481
y2[1] (analytic) = 1.9103243015500563059935921733094
y2[1] (numeric) = 1.9057086733371560016974007329023
absolute error = 0.0046156282129003042961914404071
relative error = 0.2416149032473249307557865335152 %
h = 0.001
y1[1] (analytic) = 2.9959710182066116556985075941693
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5165454796024086554252196589537
relative error = 17.241337665262623118287125576739 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.482
y2[1] (analytic) = 1.9113203172401132447324831641913
y2[1] (numeric) = 1.9066802252940106555769508234782
absolute error = 0.0046400919461025891555323407131
relative error = 0.24276893329961232199805072040263 %
h = 0.001
y1[1] (analytic) = 2.9960601959046480458833683221274
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5166346573004450456100803869118
relative error = 17.243800975916284520626479696192 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.483
y2[1] (analytic) = 1.9123164216098455533848124311414
y2[1] (numeric) = 1.9076517609005119524358236828487
absolute error = 0.0046646607093336009489887482927
relative error = 0.24392724219806411989962473132395 %
h = 0.001
y1[1] (analytic) = 2.9961483775425715364337417202262
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5167228389383685361604537850106
relative error = 17.246236628714044661848909908423 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.1MB, time=125.31
NO POLE
NO POLE
x[1] = 1.484
y2[1] (analytic) = 1.9133126136631489452269660325664
y2[1] (numeric) = 1.9086232788150094866125251171563
absolute error = 0.0046893348481394586144409154101
relative error = 0.24508984128638825406059174845895 %
h = 0.001
y1[1] (analytic) = 2.9962355630322004967746068201009
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5168100244279974965013188848853
relative error = 17.248644626091548304769616782912 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.485
y2[1] (analytic) = 1.9143088924038314499715538010618
y2[1] (numeric) = 1.9095947776949752698836705598273
absolute error = 0.0047141147088561800878832412345
relative error = 0.24625674192719144075866084300233 %
h = 0.001
y1[1] (analytic) = 2.9963217522863494445424605077845
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5168962136821464442691725725689
relative error = 17.251024970456785246085561444861 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.486
y2[1] (analytic) = 1.9153052568356144099592966148078
y2[1] (numeric) = 1.9105662561970037314639850715719
absolute error = 0.0047390006386106784953115432359
relative error = 0.24742795550199935570318094168788 %
h = 0.001
y1[1] (analytic) = 2.9964069452188291327707926217544
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5169814066146261324975046865388
relative error = 17.253377664190092703889653740136 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.487
y2[1] (analytic) = 1.9163017059621334764376010336293
y2[1] (numeric) = 1.9115377129768117180063033403843
absolute error = 0.004763992985321758431297693245
relative error = 0.24860349341127685306706194397485 %
h = 0.001
y1[1] (analytic) = 2.9964911417444466360793257370054
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5170656031402436358060378017898
relative error = 17.255702709644157678230319487996 %
h = 0.001
TOP MAIN SOLVE Loop
memory used=900.2MB, alloc=4.1MB, time=125.84
NO POLE
NO POLE
x[1] = 1.488
y2[1] (analytic) = 1.9172982387869396059248250212299
y2[1] (numeric) = 1.9125091466892384936015696815424
absolute error = 0.0047890920977011123232553396875
relative error = 0.24978336707444823087215071263056 %
h = 0.001
y1[1] (analytic) = 2.9965743417790054358669334459171
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5171488031748024355936455107015
relative error = 17.258000109144019284702681549579 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.489
y2[1] (analytic) = 1.9182948543135000566592383894163
y2[1] (numeric) = 1.9134805559882457397788380376082
absolute error = 0.0048142983252543168804003518081
relative error = 0.25096758792991754280354944777592 %
h = 0.001
y1[1] (analytic) = 2.996656545239305504508151943004
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5172310066351025042348640077884
relative error = 17.260269864987071061057755658289 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.49
y2[1] (analytic) = 1.9192915515451993851316815154363
y2[1] (numeric) = 1.9144519395269175555052719784274
absolute error = 0.0048396120182818296264095370089
relative error = 0.25215616743508895652830489020165 %
h = 0.001
y1[1] (analytic) = 2.9967377520431433885532007170437
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5173122134389403882799127818281
relative error = 17.262511979443063246816227940736 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.491
y2[1] (analytic) = 1.9202883294853404427009257998542
y2[1] (numeric) = 1.9154232959574604571861447011297
absolute error = 0.0048650335278799855147810987245
relative error = 0.2533491170663871585938388802408 %
h = 0.001
y1[1] (analytic) = 2.9968179621093122909314291505699
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5173924235051092906581412153543
relative error = 17.264726454754105035873546806539 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=904.1MB, alloc=4.1MB, time=126.38
x[1] = 1.492
y2[1] (analytic) = 1.9212851871371453722907392496861
y2[1] (numeric) = 1.9163946239312033786648390301285
absolute error = 0.0048905632059419936259002195576
relative error = 0.25454644831927780598143402169098 %
h = 0.001
y1[1] (analytic) = 2.9968971753576021521581068232903
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5174716367533991518848188880747
relative error = 17.266913293134666802083227404836 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.493
y2[1] (analytic) = 1.922282123503756605167660489814
y2[1] (numeric) = 1.9173659220985976712228474171214
absolute error = 0.0049162014051589339448130726926
relative error = 0.25574817270828802439003256278309 %
h = 0.001
y1[1] (analytic) = 2.9969753917087997305444763126456
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.51754985310459673027118837743
relative error = 17.269072496771582297805432137695 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.494
y2[1] (analytic) = 1.9232791375882378577984844249848
y2[1] (numeric) = 1.9183371891092171035797719410896
absolute error = 0.0049419484790207542187124838952
relative error = 0.25695430176702695332555210540961 %
h = 0.001
y1[1] (analytic) = 2.9970526110846886814109882814636
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.517627072480485681137700346248
relative error = 17.271204067824050825408055788607 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.495
y2[1] (analytic) = 1.9242762283935751287864626949956
y2[1] (numeric) = 1.9193084236117578618933243082983
absolute error = 0.0049678047818172668931383866973
relative error = 0.25816484704820633807086838714025 %
h = 0.001
y1[1] (analytic) = 2.9971288334080496353036396394798
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5177032948038466350303517042642
relative error = 17.273308008423639381707708670607 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
memory used=907.9MB, alloc=4.1MB, time=126.90
x[1] = 1.496
y2[1] (analytic) = 1.925273394922677695885221986944
y2[1] (numeric) = 1.9202796242540385497593258522966
absolute error = 0.0049937706686391461258961346474
relative error = 0.25937982012366116861156314456472 %
h = 0.001
y1[1] (analytic) = 2.9972040586026602752133365623937
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5177785199984572749400486271781
relative error = 17.27538432067428477533815582625 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.497
y2[1] (analytic) = 1.926270636178379113089403190711
y2[1] (numeric) = 1.9212507896830001882117075339174
absolute error = 0.0050198464953789248776956567936
relative error = 0.26059923258437036559248395924374 %
h = 0.001
y1[1] (analytic) = 2.9972782865932954127982051491029
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5178527479890924125249172138873
relative error = 17.277433006652295717033934723323 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.498
y2[1] (analytic) = 1.927267951163438207801024307119
y2[1] (numeric) = 1.9222219185447062157225099412775
absolute error = 0.0050460326187319920785143658415
relative error = 0.26182309604047751338011300528588 %
h = 0.001
y1[1] (analytic) = 2.9973515173057270636087734948114
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5179259787015240633354855595958
relative error = 17.279454068406354882817038088851 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.499
y2[1] (analytic) = 1.9282653388805400780705699424854
y2[1] (numeric) = 1.9231930094843424882018832897777
absolute error = 0.0050723293961975898686866527077
relative error = 0.26305142212131164030569275825624 %
h = 0.001
y1[1] (analytic) = 2.9974237506667245213159499548364
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5179982120625215210426620196208
relative error = 17.281447507957520950074712512252 %
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
NO POLE
x[1] = 1.5
y2[1] (analytic) = 1.9292627983322970899118101485657
y2[1] (numeric) = 1.9241640611462172789980874221026
absolute error = 0.0050987371860798109137227264631
relative error = 0.2642842224754080461640089855315 %
h = 0.001
y1[1] (analytic) = 2.9974949866040544309417233711415
y1[1] (numeric) = 2.4794255386042030002732879352156
absolute error = 0.5180694479998514306684354359259
relative error = 17.283413327299230606516587229319 %
h = 0.001
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 7 Seconds
Elapsed Time(since restart) = 2 Minutes 7 Seconds
Expected Time Remaining = 18 Minutes 0 Seconds
Optimized Time Remaining = 18 Minutes 0 Seconds
Time to Timeout = 12 Minutes 52 Seconds
Percent Done = 10.54 %
> quit
memory used=911.7MB, alloc=4.1MB, time=127.41