(%i1) batch(diffeq.max)
read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max
(%i2) load(stringproc)
(%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac
(%i3) display_alot(iter) := if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : abs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
abserr 100.0
20, " "), if abs(analytic_val_y) # 0.0 then relerr : -------------------
abs(analytic_val_y)
else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_float(ALWAYS, "h ", 4, glob_h,
20, " "))
(%o3) display_alot(iter) := if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : abs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
abserr 100.0
20, " "), if abs(analytic_val_y) # 0.0 then relerr : -------------------
abs(analytic_val_y)
else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_float(ALWAYS, "h ", 4, glob_h,
20, " "))
(%i4) adjust_for_pole(h_param) := block(hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float)
! 1! 1
array_pole
1
then (sz2 : -----------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(),
return(hnew))), 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 ), hnew : sz2)
1
(%o4) adjust_for_pole(h_param) := block(hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float)
! 1! 1
array_pole
1
then (sz2 : -----------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(),
return(hnew))), 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 ), hnew : sz2)
1
(%i5) prog_report(x_start, x_end) := (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(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
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(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), percent_done :
comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
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))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%o5) prog_report(x_start, x_end) := (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(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
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(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), percent_done :
comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
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))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((!array_y_higher ! < glob_small_float)
! 1, m!
or (!array_y_higher ! < glob_small_float)
! 1, m - 1!
or (!array_y_higher ! < glob_small_float)) do m : m - 1,
! 1, m - 2!
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1,
glob_h
if abs(hdrc) > glob_small_float then (rcs : ------,
hdrc
convfloat(m - 1) rm0
ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs,
hdrc 1, 1
array_real_pole : ord_no) else (array_real_pole : glob_large_float,
1, 2 1, 1
array_real_pole : glob_large_float))
1, 2
else (array_real_pole : glob_large_float,
1, 1
array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! >
! 1, n!
glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
elseif (!array_y_higher ! >= glob_large_float)
! 1, m!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 1!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 2!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 3!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 4!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 5!
then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (abs(dr1) <= glob_small_float) then (array_complex_pole :
1, 1
glob_large_float, array_complex_pole : glob_large_float)
1, 2
else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_pole : rad_c,
1, 1
array_complex_pole : ord_no), found : false,
1, 2
if (not found) and ((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float))
1, 1 1, 2
and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0))
1, 1 1, 2
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , found : true, array_type_pole : 2,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if (not found)
and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float)
1, 1 1, 2
and (array_real_pole > 0.0) and (array_real_pole > 0.0)
1, 1 1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0)))
1, 1 1, 2 1, 1 1, 2
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and (((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float)))
1, 1 1, 2
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found : true, array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")),
if (not found) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole >
1, 1 1, 2
0.0))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and ((array_complex_pole # glob_large_float)
1, 1
and (array_complex_pole # glob_large_float)
1, 2
and (array_complex_pole > 0.0) and (array_complex_pole >
1, 1 1, 2
0.0))
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , array_type_pole : 2, found : true,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if not found
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float,
1
array_pole : glob_large_float, if array_pole > array_poles
2 1 1, 1
then (array_pole : array_poles , array_pole : array_poles ),
1 1, 1 2 1, 2
display_pole())
(%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((!array_y_higher ! < glob_small_float)
! 1, m!
or (!array_y_higher ! < glob_small_float)
! 1, m - 1!
or (!array_y_higher ! < glob_small_float)) do m : m - 1,
! 1, m - 2!
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1,
glob_h
if abs(hdrc) > glob_small_float then (rcs : ------,
hdrc
convfloat(m - 1) rm0
ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs,
hdrc 1, 1
array_real_pole : ord_no) else (array_real_pole : glob_large_float,
1, 2 1, 1
array_real_pole : glob_large_float))
1, 2
else (array_real_pole : glob_large_float,
1, 1
array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! >
! 1, n!
glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
elseif (!array_y_higher ! >= glob_large_float)
! 1, m!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 1!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 2!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 3!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 4!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 5!
then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (abs(dr1) <= glob_small_float) then (array_complex_pole :
1, 1
glob_large_float, array_complex_pole : glob_large_float)
1, 2
else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_pole : rad_c,
1, 1
array_complex_pole : ord_no), found : false,
1, 2
if (not found) and ((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float))
1, 1 1, 2
and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0))
1, 1 1, 2
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , found : true, array_type_pole : 2,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if (not found)
and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float)
1, 1 1, 2
and (array_real_pole > 0.0) and (array_real_pole > 0.0)
1, 1 1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0)))
1, 1 1, 2 1, 1 1, 2
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and (((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float)))
1, 1 1, 2
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found : true, array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")),
if (not found) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole >
1, 1 1, 2
0.0))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and ((array_complex_pole # glob_large_float)
1, 1
and (array_complex_pole # glob_large_float)
1, 2
and (array_complex_pole > 0.0) and (array_complex_pole >
1, 1 1, 2
0.0))
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , array_type_pole : 2, found : true,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if not found
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float,
1
array_pole : glob_large_float, if array_pole > array_poles
2 1 1, 1
then (array_pole : array_poles , array_pole : array_poles ),
1 1, 1 2 1, 2
display_pole())
(%i7) get_norms() := if not glob_initial_pass
then (set_z(array_norms, 1 + glob_max_terms), iii : 1,
while iii <= glob_max_terms do (if !array_y ! > array_norms
! iii! iii
then array_norms : !array_y !, iii : 1 + iii))
iii ! iii!
(%o7) get_norms() := if not glob_initial_pass
then (set_z(array_norms, 1 + glob_max_terms), iii : 1,
while iii <= glob_max_terms do (if !array_y ! > array_norms
! iii! iii
then array_norms : !array_y !, iii : 1 + iii))
iii ! iii!
(%i8) atomall() := (array_tmp1 : sinh(array_x ),
1 1
array_tmp1_g : cosh(array_x ), array_tmp2 : array_tmp1 + array_const_0D0 ,
1 1 1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
1
then (temporary : array_tmp2 glob_h factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 2,
glob_h 2, 1
array_tmp1 : att(1, array_tmp1_g, array_x, 1),
2
array_tmp1_g : att(1, array_tmp1, array_x, 1),
2
array_tmp2 : array_tmp1 + array_const_0D0 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
1
then (temporary : array_tmp2 glob_h factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 3,
glob_h 2, 2
array_tmp1 : att(2, array_tmp1_g, array_x, 1),
3
array_tmp1_g : att(2, array_tmp1, array_x, 1),
3
array_tmp2 : array_tmp1 + array_const_0D0 ,
3 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
1
then (temporary : array_tmp2 glob_h factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 4,
glob_h 2, 3
array_tmp1 : att(3, array_tmp1_g, array_x, 1),
4
array_tmp1_g : att(3, array_tmp1, array_x, 1),
4
array_tmp2 : array_tmp1 + array_const_0D0 ,
4 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
1
then (temporary : array_tmp2 glob_h factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 5,
glob_h 2, 4
array_tmp1 : att(4, array_tmp1_g, array_x, 1),
5
array_tmp1_g : att(4, array_tmp1, array_x, 1),
5
array_tmp2 : array_tmp1 + array_const_0D0 ,
5 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
1
then (temporary : array_tmp2 glob_h factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp1 :
kkk
att(kkk - 1, array_tmp1_g, array_x, 1),
array_tmp1_g : att(kkk - 1, array_tmp1, array_x, 1),
kkk
array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 1,
kkk kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
order_d
array_tmp2 glob_h
kkk
then (temporary : -----------------------------------------,
factorial_3(kkk - 1, - 1 + order_d + kkk)
array_y : temporary, array_y_higher : temporary,
order_d + kkk 1, order_d + kkk
term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d)
temporary convfp(adj2)
and (term >= 1) do (temporary : ----------------------,
glob_h
array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))),
adj2, term
kkk : 1 + kkk))
(%o8) atomall() := (array_tmp1 : sinh(array_x ),
1 1
array_tmp1_g : cosh(array_x ), array_tmp2 : array_tmp1 + array_const_0D0 ,
1 1 1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
1
then (temporary : array_tmp2 glob_h factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 2,
glob_h 2, 1
array_tmp1 : att(1, array_tmp1_g, array_x, 1),
2
array_tmp1_g : att(1, array_tmp1, array_x, 1),
2
array_tmp2 : array_tmp1 + array_const_0D0 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
1
then (temporary : array_tmp2 glob_h factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 3,
glob_h 2, 2
array_tmp1 : att(2, array_tmp1_g, array_x, 1),
3
array_tmp1_g : att(2, array_tmp1, array_x, 1),
3
array_tmp2 : array_tmp1 + array_const_0D0 ,
3 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
1
then (temporary : array_tmp2 glob_h factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 4,
glob_h 2, 3
array_tmp1 : att(3, array_tmp1_g, array_x, 1),
4
array_tmp1_g : att(3, array_tmp1, array_x, 1),
4
array_tmp2 : array_tmp1 + array_const_0D0 ,
4 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
1
then (temporary : array_tmp2 glob_h factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 5,
glob_h 2, 4
array_tmp1 : att(4, array_tmp1_g, array_x, 1),
5
array_tmp1_g : att(4, array_tmp1, array_x, 1),
5
array_tmp2 : array_tmp1 + array_const_0D0 ,
5 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
1
then (temporary : array_tmp2 glob_h factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp1 :
kkk
att(kkk - 1, array_tmp1_g, array_x, 1),
array_tmp1_g : att(kkk - 1, array_tmp1, array_x, 1),
kkk
array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 1,
kkk kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
order_d
array_tmp2 glob_h
kkk
then (temporary : -----------------------------------------,
factorial_3(kkk - 1, - 1 + order_d + kkk)
array_y : temporary, array_y_higher : temporary,
order_d + kkk 1, order_d + kkk
term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d)
temporary convfp(adj2)
and (term >= 1) do (temporary : ----------------------,
glob_h
array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))),
adj2, term
kkk : 1 + kkk))
log(x)
(%i9) log10(x) := ---------
log(10.0)
log(x)
(%o9) log10(x) := ---------
log(10.0)
(%i10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%o10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%i11) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%o11) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%i12) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%o12) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%i13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%o13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%i14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%o14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%i15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%o15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%i16) dump_series(iolevel, dump_label, series_name, array_series, numb) :=
if glob_iolevel >= iolevel then (i : 1,
while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ",
array_series ), newline(), i : 1 + i))
i
(%o16) dump_series(iolevel, dump_label, series_name, array_series, numb) :=
if glob_iolevel >= iolevel then (i : 1,
while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ",
array_series ), newline(), i : 1 + i))
i
(%i17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb,
subnum) := if glob_iolevel >= iolevel then (sub : 1,
while sub <= subnum do (i : 1, while i <=
num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i,
"series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))
sub, i
(%o17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb,
subnum) := if glob_iolevel >= iolevel then (sub : 1,
while sub <= subnum do (i : 1, while i <=
num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i,
"series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))
sub, i
(%i18) cs_info(iolevel, str) := if glob_iolevel >= iolevel
then sprint(concat("cs_info ", str, " glob_correct_start_flag = ",
glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h))
(%o18) cs_info(iolevel, str) := if glob_iolevel >= iolevel
then sprint(concat("cs_info ", str, " glob_correct_start_flag = ",
glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h))
(%i19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, "| "),
if secs >= 0.0 then (sec_in_millinium :
sec_in_min min_in_hour hours_in_day days_in_year years_in_century
secs
centuries_in_millinium, milliniums : ----------------,
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 printf(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)
elseif cent_int > 0 then printf(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) elseif years_int > 0
then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int,
sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds",
minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int))
else printf(fd, "Unknown"), printf(fd, " | "))
(%o19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""),
if secs >= 0.0 then (sec_in_millinium :
sec_in_min min_in_hour hours_in_day days_in_year years_in_century
secs
centuries_in_millinium, milliniums : ----------------,
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 printf(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)
elseif cent_int > 0 then printf(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) elseif years_int > 0
then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int,
sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds",
minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int))
else printf(fd, "Unknown"), printf(fd, " | "))
(%i20) omniout_timestr(secs_in) := (secs : convfloat(secs_in),
if secs >= convfloat(0.0) then (sec_in_millinium :
convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day)
convfloat(days_in_year) convfloat(years_in_century)
secs
convfloat(centuries_in_millinium), milliniums : ---------------------------,
convfloat(sec_in_millinium)
millinium_int : floor(milliniums), centuries :
(milliniums - millinium_int) convfloat(centuries_in_millinium),
cent_int : floor(centuries), years : (centuries - cent_int)
convfloat(years_in_century), years_int : floor(years),
days : (years - years_int) convfloat(days_in_year), days_int : floor(days),
hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours),
minutes : (hours - hours_int) convfloat(min_in_hour),
minutes_int : floor(minutes), seconds :
(minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds),
if millinium_int > 0 then printf(true,
"= ~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)
elseif cent_int > 0 then printf(true,
"= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int,
years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0
then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%",
years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%"))
(%o20) omniout_timestr(secs_in) := (secs : convfloat(secs_in),
if secs >= convfloat(0.0) then (sec_in_millinium :
convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day)
convfloat(days_in_year) convfloat(years_in_century)
secs
convfloat(centuries_in_millinium), milliniums : ---------------------------,
convfloat(sec_in_millinium)
millinium_int : floor(milliniums), centuries :
(milliniums - millinium_int) convfloat(centuries_in_millinium),
cent_int : floor(centuries), years : (centuries - cent_int)
convfloat(years_in_century), years_int : floor(years),
days : (years - years_int) convfloat(days_in_year), days_int : floor(days),
hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours),
minutes : (hours - hours_int) convfloat(min_in_hour),
minutes_int : floor(minutes), seconds :
(minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds),
if millinium_int > 0 then printf(true,
"= ~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)
elseif cent_int > 0 then printf(true,
"= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int,
years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0
then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%",
years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%"))
(%i21) mode_declare(ats, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o21) [ats]
(%i22) ats(mmm_ats, array_a, array_b, jjj_ats) :=
(ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats,
iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%o22) ats(mmm_ats, array_a, array_b, jjj_ats) :=
(ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats,
iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%i23) mode_declare(att, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o23) [att]
(%i24) att(mmm_att, array_aa, array_bb, jjj_att) :=
(ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att,
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 : array_aa array_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%o24) att(mmm_att, array_aa, array_bb, jjj_att) :=
(ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att,
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 : array_aa array_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%i25) display_pole() := if (array_pole # glob_large_float)
1
and (array_pole > 0.0) and (array_pole # glob_large_float)
1 2
and (array_pole > 0.0) and glob_display_flag
2
then (omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole , 4, " "), omniout_float(ALWAYS,
1
"Order of pole ", 4, array_pole , 4, " "))
2
(%o25) display_pole() := if (array_pole # glob_large_float)
1
and (array_pole > 0.0) and (array_pole # glob_large_float)
1 2
and (array_pole > 0.0) and glob_display_flag
2
then (omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole , 4, " "), omniout_float(ALWAYS,
1
"Order of pole ", 4, array_pole , 4, " "))
2
(%i26) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%o26) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%i27) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%o27) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%i28) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%o28) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%i29) log_revs(file, revs) := printf(file, revs)
(%o29) log_revs(file, revs) := printf(file, revs)
(%i30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%o30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%i31) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"),
printf(file, " | "))
(%o31) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"),
printf(file, " | "))
(%i32) logstart(file) := printf(file, "")
(%o32) logstart(file) := printf(file, "
")
(%i33) logend(file) := printf(file, "
~%")
(%o33) logend(file) := printf(file, "~%")
(%i34) chk_data() := (errflag : false,
if (glob_max_terms < 15) or (glob_max_terms > 512)
then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"),
glob_max_terms : 30), if glob_max_iter < 2
then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true),
if errflag then quit())
(%o34) chk_data() := (errflag : false,
if (glob_max_terms < 15) or (glob_max_terms > 512)
then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"),
glob_max_terms : 30), if glob_max_iter < 2
then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true),
if errflag then quit())
(%i35) mode_declare(comp_expect_sec, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o35) [comp_expect_sec]
(%i36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) :=
(ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%o36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) :=
(ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%i37) mode_declare(comp_percent, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o37) [comp_percent]
(%i38) comp_percent(t_end2, t_start2, t2) :=
(sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%o38) comp_percent(t_end2, t_start2, t2) :=
(sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%i39) mode_declare(factorial_1, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o39) [factorial_1]
(%i40) factorial_1(nnn) := nnn!
(%o40) factorial_1(nnn) := nnn!
(%i41) mode_declare(factorial_3, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o41) [factorial_3]
mmm2!
(%i42) factorial_3(mmm2, nnn2) := -----
nnn2!
mmm2!
(%o42) factorial_3(mmm2, nnn2) := -----
nnn2!
(%i43) convfp(mmm) := mmm
(%o43) convfp(mmm) := mmm
(%i44) convfloat(mmm) := mmm
(%o44) convfloat(mmm) := mmm
(%i45) elapsed_time_seconds() := (t : elapsed_real_time(), t)
(%o45) elapsed_time_seconds() := (t : elapsed_real_time(), t)
(%i46) arcsin(x) := asin(x)
(%o46) arcsin(x) := asin(x)
(%i47) arccos(x) := acos(x)
(%o47) arccos(x) := acos(x)
(%i48) arctan(x) := atan(x)
(%o48) arctan(x) := atan(x)
(%i49) exact_soln_y(x) := cosh(x) + 1.0
(%o49) exact_soln_y(x) := cosh(x) + 1.0
(%i50) mainprog() := (define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(glob_max_terms, 30,
fixnum), define_variable(INFO, 2, fixnum),
define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(glob_start, 0, fixnum),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(djd_debug, true, boolean),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_dump, false, boolean),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_warned, false, boolean),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(hours_in_day, 24.0, float),
define_variable(min_in_hour, 60.0, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_h, 0.1, float), define_variable(glob_reached_optimal_h,
false, boolean), define_variable(years_in_century, 100.0, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_hmax, 1.0, float),
define_variable(days_in_year, 365.0, float),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_html_log, true, boolean),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_warned2, false, boolean),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(glob_percent_done, 0.0, float), ALWAYS : 1, INFO : 2,
DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1,
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/sinhpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sinh ( x ) ;"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"),
omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start : 0.0,"), omniout_str(ALWAYS, "x_end : 10.0 ,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(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, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_h : 0.0001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 1000,"),
omniout_str(ALWAYS, "glob_max_minutes : 15,"),
omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS, "exact_soln_y (x) := ("),
omniout_str(ALWAYS, "1.0 + cosh(x) "), omniout_str(ALWAYS, ");"),
omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64,
glob_large_float : 1.0E+100, 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(array_y, 1 + max_terms), array(array_x, 1 + max_terms),
array(array_norms, 1 + max_terms), array(array_tmp1_g, 1 + max_terms),
array(array_pole, 1 + max_terms), array(array_last_rel_error, 1 + max_terms),
array(array_y_init, 1 + max_terms), array(array_type_pole, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms), array(array_m1, 1 + max_terms),
array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms),
array(array_tmp2, 1 + max_terms), array(array_y_higher_work, 1 + 2,
1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3),
array(array_poles, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 2,
1 + max_terms), term : 1, while term <= max_terms do (array_y : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_norms : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_last_rel_error : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_y_init : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_type_pole : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_1st_rel_error : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_m1 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp0 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0,
term
term : 1 + term), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <=
3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work2 : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_tmp1_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
array(array_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
array(array_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_const_1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, x_start : 0.0, x_end : 10.0,
1
array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5,
1 + 0
glob_look_poles : true, glob_max_iter : 10, glob_h : 1.0E-4,
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(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
glob_log10_abserr glob_log10_relerr
glob_abserr : 10.0 , glob_relerr : 10.0 ,
chk_data(), array_y_set_initial : true, array_y_set_initial : false,
1, 1 1, 2
array_y_set_initial : false, array_y_set_initial : false,
1, 3 1, 4
array_y_set_initial : false, array_y_set_initial : false,
1, 5 1, 6
array_y_set_initial : false, array_y_set_initial : false,
1, 7 1, 8
array_y_set_initial : false, array_y_set_initial : false,
1, 9 1, 10
array_y_set_initial : false, array_y_set_initial : false,
1, 11 1, 12
array_y_set_initial : false, array_y_set_initial : false,
1, 13 1, 14
array_y_set_initial : false, array_y_set_initial : false,
1, 15 1, 16
array_y_set_initial : false, array_y_set_initial : false,
1, 17 1, 18
array_y_set_initial : false, array_y_set_initial : false,
1, 19 1, 20
array_y_set_initial : false, array_y_set_initial : false,
1, 21 1, 22
array_y_set_initial : false, array_y_set_initial : false,
1, 23 1, 24
array_y_set_initial : false, array_y_set_initial : false,
1, 25 1, 26
array_y_set_initial : false, array_y_set_initial : false,
1, 27 1, 28
array_y_set_initial : false, array_y_set_initial : false,
1, 29 1, 30
if glob_html_log then html_log_file : openw("html/entry.html"),
omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
term_no - 1
array_y_init glob_h
term_no
-------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
term_no - 1
array_y_init glob_h
it
array_y_higher : --------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(), start_array_y(),
if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, log10norm : log10(tmp),
! 1, 1!
if log10norm < glob_log10normmin then glob_log10normmin : log10norm),
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 <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
1
convfloat(glob_max_sec)) do (omniout_str
(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
if glob_look_poles then check_for_pole(), array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
convfp(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 1 ) = sinh ( x ) ;"),
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,
"2012-06-13T19:13:45-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "sinh"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = sinh ( x ) ;"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), 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) or (array_type_pole = 2)
1 1
then (logitem_float(html_log_file, array_pole ),
1
logitem_float(html_log_file, array_pole ), 0)
2
else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0),
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),
log_revs(html_log_file, " 090 | "), logitem_str(html_log_file, "sinh diffeq.max"), logitem_str(html_log_file, "sinh maxima results"),
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%o50) mainprog() := (define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(glob_max_terms, 30,
fixnum), define_variable(INFO, 2, fixnum),
define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(glob_start, 0, fixnum),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(djd_debug, true, boolean),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_dump, false, boolean),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_warned, false, boolean),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(hours_in_day, 24.0, float),
define_variable(min_in_hour, 60.0, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_h, 0.1, float), define_variable(glob_reached_optimal_h,
false, boolean), define_variable(years_in_century, 100.0, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_hmax, 1.0, float),
define_variable(days_in_year, 365.0, float),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_html_log, true, boolean),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_warned2, false, boolean),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(glob_percent_done, 0.0, float), ALWAYS : 1, INFO : 2,
DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1,
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/sinhpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sinh ( x ) ;"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"),
omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start : 0.0,"), omniout_str(ALWAYS, "x_end : 10.0 ,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(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, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_h : 0.0001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 1000,"),
omniout_str(ALWAYS, "glob_max_minutes : 15,"),
omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS, "exact_soln_y (x) := ("),
omniout_str(ALWAYS, "1.0 + cosh(x) "), omniout_str(ALWAYS, ");"),
omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64,
glob_large_float : 1.0E+100, 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(array_y, 1 + max_terms), array(array_x, 1 + max_terms),
array(array_norms, 1 + max_terms), array(array_tmp1_g, 1 + max_terms),
array(array_pole, 1 + max_terms), array(array_last_rel_error, 1 + max_terms),
array(array_y_init, 1 + max_terms), array(array_type_pole, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms), array(array_m1, 1 + max_terms),
array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms),
array(array_tmp2, 1 + max_terms), array(array_y_higher_work, 1 + 2,
1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3),
array(array_poles, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 2,
1 + max_terms), term : 1, while term <= max_terms do (array_y : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_norms : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_last_rel_error : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_y_init : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_type_pole : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_1st_rel_error : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_m1 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp0 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0,
term
term : 1 + term), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <=
3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work2 : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_tmp1_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term),
term
array(array_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
array(array_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_const_1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, x_start : 0.0, x_end : 10.0,
1
array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5,
1 + 0
glob_look_poles : true, glob_max_iter : 10, glob_h : 1.0E-4,
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(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
glob_log10_abserr glob_log10_relerr
glob_abserr : 10.0 , glob_relerr : 10.0 ,
chk_data(), array_y_set_initial : true, array_y_set_initial : false,
1, 1 1, 2
array_y_set_initial : false, array_y_set_initial : false,
1, 3 1, 4
array_y_set_initial : false, array_y_set_initial : false,
1, 5 1, 6
array_y_set_initial : false, array_y_set_initial : false,
1, 7 1, 8
array_y_set_initial : false, array_y_set_initial : false,
1, 9 1, 10
array_y_set_initial : false, array_y_set_initial : false,
1, 11 1, 12
array_y_set_initial : false, array_y_set_initial : false,
1, 13 1, 14
array_y_set_initial : false, array_y_set_initial : false,
1, 15 1, 16
array_y_set_initial : false, array_y_set_initial : false,
1, 17 1, 18
array_y_set_initial : false, array_y_set_initial : false,
1, 19 1, 20
array_y_set_initial : false, array_y_set_initial : false,
1, 21 1, 22
array_y_set_initial : false, array_y_set_initial : false,
1, 23 1, 24
array_y_set_initial : false, array_y_set_initial : false,
1, 25 1, 26
array_y_set_initial : false, array_y_set_initial : false,
1, 27 1, 28
array_y_set_initial : false, array_y_set_initial : false,
1, 29 1, 30
if glob_html_log then html_log_file : openw("html/entry.html"),
omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
term_no - 1
array_y_init glob_h
term_no
-------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
term_no - 1
array_y_init glob_h
it
array_y_higher : --------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(), start_array_y(),
if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, log10norm : log10(tmp),
! 1, 1!
if log10norm < glob_log10normmin then glob_log10normmin : log10norm),
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 <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
1
convfloat(glob_max_sec)) do (omniout_str
(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
if glob_look_poles then check_for_pole(), array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
convfp(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 1 ) = sinh ( x ) ;"),
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,
"2012-06-13T19:13:45-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "sinh"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = sinh ( x ) ;"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), 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) or (array_type_pole = 2)
1 1
then (logitem_float(html_log_file, array_pole ),
1
logitem_float(html_log_file, array_pole ), 0)
2
else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0),
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),
log_revs(html_log_file, " 090 | "), logitem_str(html_log_file, "sinh diffeq.max"), logitem_str(html_log_file, "sinh maxima results"),
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%i51) mainprog()
"##############ECHO OF PROBLEM#################"
"##############temp/sinhpostode.ode#################"
"diff ( y , x , 1 ) = sinh ( x ) ;"
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits : 32,"
"max_terms : 30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start : 0.0,"
"x_end : 10.0 ,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_h : 0.00001 ,"
"glob_look_poles : true,"
"glob_max_iter : 10,"
"/* END SECOND INPUT BLOCK */"
"/* BEGIN OVERRIDE BLOCK */"
"glob_h : 0.0001 ,"
"glob_look_poles : true,"
"glob_max_iter : 1000,"
"glob_max_minutes : 15,"
"/* END OVERRIDE BLOCK */"
"!"
"/* BEGIN USER DEF BLOCK */"
"exact_soln_y (x) := ("
"1.0 + cosh(x) "
");"
""
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Soultion"
x[1] = 0.0 " "
y[1] (analytic) = 2. " "
y[1] (numeric) = 2. " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.0000E-4 " "
y[1] (analytic) = 2.000000005 " "
y[1] (numeric) = 2.000000005 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.0000E-4 " "
y[1] (analytic) = 2.00000002 " "
y[1] (numeric) = 2.00000002 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.00000000000000040000E-4 " "
y[1] (analytic) = 2.000000045 " "
y[1] (numeric) = 2.000000045 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.0000E-4 " "
y[1] (analytic) = 2.0000000800000013 " "
y[1] (numeric) = 2.000000080000001 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220445960432473300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.0000E-4 " "
y[1] (analytic) = 2.0000001250000023 " "
y[1] (numeric) = 2.0000001250000023 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0000000000000010000E-4 " "
y[1] (analytic) = 2.000000180000005 " "
y[1] (numeric) = 2.000000180000005 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.0000000000000010000E-4 " "
y[1] (analytic) = 2.00000024500001 " "
y[1] (numeric) = 2.0000002450000096 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220445777245694300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.0000000000000020000E-4 " "
y[1] (analytic) = 2.000000320000017 " "
y[1] (numeric) = 2.0000003200000167 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22044569397898300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.0000000000000020000E-4 " "
y[1] (analytic) = 2.0000004050000273 " "
y[1] (numeric) = 2.000000405000027 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22044559961004900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.0000000000000002000E-3 " "
y[1] (analytic) = 2.0000005000000414 " "
y[1] (numeric) = 2.0000005000000414 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.1000000000000003000E-3 " "
y[1] (analytic) = 2.0000006050000607 " "
y[1] (numeric) = 2.0000006050000607 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.2000000000000004000E-3 " "
y[1] (analytic) = 2.000000720000086 " "
y[1] (numeric) = 2.000000720000086 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.3000000000000003000E-3 " "
y[1] (analytic) = 2.0000008450001188 " "
y[1] (numeric) = 2.0000008450001188 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.4000000000000004000E-3 " "
y[1] (analytic) = 2.00000098000016 " "
y[1] (numeric) = 2.0000009800001597 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220444961232104200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.5000000000000005000E-3 " "
y[1] (analytic) = 2.000001125000211 " "
y[1] (numeric) = 2.0000011250002108 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220444800249878300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.6000000000000006000E-3 " "
y[1] (analytic) = 2.000001280000273 " "
y[1] (numeric) = 2.000001280000273 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.7000000000000007000E-3 " "
y[1] (analytic) = 2.000001445000348 " "
y[1] (numeric) = 2.000001445000348 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.8000000000000005000E-3 " "
y[1] (analytic) = 2.0000016200004374 " "
y[1] (numeric) = 2.0000016200004374 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.9000000000000006000E-3 " "
y[1] (analytic) = 2.000001805000543 " "
y[1] (numeric) = 2.000001805000543 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.0000000000000004000E-3 " "
y[1] (analytic) = 2.0000020000006664 " "
y[1] (numeric) = 2.0000020000006664 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.1000000000000002000E-3 " "
y[1] (analytic) = 2.0000022050008104 " "
y[1] (numeric) = 2.00000220500081 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22044360121034300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.2000E-3 " "
y[1] (analytic) = 2.000002420000976 " "
y[1] (numeric) = 2.0000024200009756 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220443362512761000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.3000E-3 " "
y[1] (analytic) = 2.000002645001166 " "
y[1] (numeric) = 2.0000026450011656 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220443112713001700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.4000E-3 " "
y[1] (analytic) = 2.0000028800013823 " "
y[1] (numeric) = 2.000002880001382 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22044285181107200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.4999999999999997000E-3 " "
y[1] (analytic) = 2.0000031250016277 " "
y[1] (numeric) = 2.0000031250016272 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22044257980697500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5999999999999995000E-3 " "
y[1] (analytic) = 2.000003380001904 " "
y[1] (numeric) = 2.0000033800019037 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220442296700717600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.6999999999999990000E-3 " "
y[1] (analytic) = 2.0000036450022143 " "
y[1] (numeric) = 2.000003645002214 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220442002492305200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.799999999999999000E-3 " "
y[1] (analytic) = 2.0000039200025608 " "
y[1] (numeric) = 2.0000039200025608 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.899999999999998700E-3 " "
y[1] (analytic) = 2.0000042050029467 " "
y[1] (numeric) = 2.0000042050029467 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.9999999999999990000E-3 " "
y[1] (analytic) = 2.0000045000033753 " "
y[1] (numeric) = 2.000004500003375 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22044105325419600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.0999999999999983000E-3 " "
y[1] (analytic) = 2.000004805003848 " "
y[1] (numeric) = 2.0000048050038477 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22044071463722400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.1999999999999984000E-3 " "
y[1] (analytic) = 2.000005120004369 " "
y[1] (numeric) = 2.000005120004369 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.2999999999999985000E-3 " "
y[1] (analytic) = 2.000005445004941 " "
y[1] (numeric) = 2.000005445004941 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.399999999999998000E-3 " "
y[1] (analytic) = 2.0000057800055684 " "
y[1] (numeric) = 2.000005780005568 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22043963217359400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.499999999999998000E-3 " "
y[1] (analytic) = 2.0000061250062524 " "
y[1] (numeric) = 2.0000061250062524 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.5999999999999976000E-3 " "
y[1] (analytic) = 2.0000064800069985 " "
y[1] (numeric) = 2.000006480006998 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22043885502065300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.6999999999999980000E-3 " "
y[1] (analytic) = 2.000006845007809 " "
y[1] (numeric) = 2.0000068450078086 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22043844979104900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.7999999999999970000E-3 " "
y[1] (analytic) = 2.000007220008688 " "
y[1] (numeric) = 2.000007220008688 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.8999999999999974000E-3 " "
y[1] (analytic) = 2.0000076050096394 " "
y[1] (numeric) = 2.000007605009639 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220437606025614200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.9999999999999974000E-3 " "
y[1] (analytic) = 2.0000080000106664 " "
y[1] (numeric) = 2.0000080000106664 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.099999999999997500E-3 " "
y[1] (analytic) = 2.0000084050117737 " "
y[1] (numeric) = 2.0000084050117737 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.199999999999998000E-3 " "
y[1] (analytic) = 2.0000088200129653 " "
y[1] (numeric) = 2.000008820012965 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22043625711202500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.299999999999998000E-3 " "
y[1] (analytic) = 2.000009245014245 " "
y[1] (numeric) = 2.0000092450142444 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22043578527008100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.3999999999999984000E-3 " "
y[1] (analytic) = 2.000009680015617 " "
y[1] (numeric) = 2.0000096800156166 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220435302326111400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.499999999999999000E-3 " "
y[1] (analytic) = 2.000010125017086 " "
y[1] (numeric) = 2.0000101250170856 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22043480828012700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.599999999999999000E-3 " "
y[1] (analytic) = 2.000010580018656 " "
y[1] (numeric) = 2.000010580018656 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.699999999999999000E-3 " "
y[1] (analytic) = 2.000011045020332 " "
y[1] (numeric) = 2.0000110450203317 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22043378688215200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.8000E-3 " "
y[1] (analytic) = 2.0000115200221185 " "
y[1] (numeric) = 2.000011520022118 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220433259530181800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9000E-3 " "
y[1] (analytic) = 2.00001200502402 " "
y[1] (numeric) = 2.0000120050240198 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220432721076237300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.000E-3 " "
y[1] (analytic) = 2.000012500026042 " "
y[1] (numeric) = 2.0000125000260414 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22043217152032900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.1000E-3 " "
y[1] (analytic) = 2.0000130050281886 " "
y[1] (numeric) = 2.000013005028188 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22043161086246800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.200000000000000000E-3 " "
y[1] (analytic) = 2.000013520030465 " "
y[1] (numeric) = 2.000013520030465 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.300000000000001000E-3 " "
y[1] (analytic) = 2.000014045032877 " "
y[1] (numeric) = 2.0000140450328767 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220430456240933300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.400000000000001000E-3 " "
y[1] (analytic) = 2.0000145800354296 " "
y[1] (numeric) = 2.000014580035429 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220429862277282500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.500000000000002000E-3 " "
y[1] (analytic) = 2.0000151250381277 " "
y[1] (numeric) = 2.0000151250381273 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220429257211725400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.600000000000002000E-3 " "
y[1] (analytic) = 2.000015680040977 " "
y[1] (numeric) = 2.0000156800409767 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22042864104427400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.700000000000002000E-3 " "
y[1] (analytic) = 2.0000162450439833 " "
y[1] (numeric) = 2.000016245043983 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220428013774940500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.800000000000002000E-3 " "
y[1] (analytic) = 2.0000168200471524 " "
y[1] (numeric) = 2.0000168200471515 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44085475080747300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.9000000000000030000E-3 " "
y[1] (analytic) = 2.000017405050489 " "
y[1] (numeric) = 2.0000174050504884 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220426725930677300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.000000000000003000E-3 " "
y[1] (analytic) = 2.000018000054 " "
y[1] (numeric) = 2.0000180000539993 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440852130711546000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.100000000000003000E-3 " "
y[1] (analytic) = 2.000018605057691 " "
y[1] (numeric) = 2.0000186050576905 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220425393679039400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.200000000000003000E-3 " "
y[1] (analytic) = 2.000019220061568 " "
y[1] (numeric) = 2.0000192200615676 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220424710900487700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3000000000000030000E-3 " "
y[1] (analytic) = 2.0000198450656375 " "
y[1] (numeric) = 2.000019845065637 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220424017020132800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.400000000000003000E-3 " "
y[1] (analytic) = 2.000020480069905 " "
y[1] (numeric) = 2.000020480069905 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.500000000000004000E-3 " "
y[1] (analytic) = 2.000021125074378 " "
y[1] (numeric) = 2.0000211250743773 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220422595954068300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.600000000000005000E-3 " "
y[1] (analytic) = 2.0000217800790616 " "
y[1] (numeric) = 2.000021780079061 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220421868768387200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7000000000000050000E-3 " "
y[1] (analytic) = 2.000022445083963 " "
y[1] (numeric) = 2.000022445083963 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.800000000000005000E-3 " "
y[1] (analytic) = 2.0000231200890894 " "
y[1] (numeric) = 2.000023120089089 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220420381091799700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.900000000000005000E-3 " "
y[1] (analytic) = 2.0000238050944468 " "
y[1] (numeric) = 2.0000238050944463 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22041962060092300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.000000000000005000E-3 " "
y[1] (analytic) = 2.000024500100042 " "
y[1] (numeric) = 2.0000245001000416 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22041884900834500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.100000000000005000E-3 " "
y[1] (analytic) = 2.0000252051058824 " "
y[1] (numeric) = 2.000025205105882 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220418066314080700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.200000000000006000E-3 " "
y[1] (analytic) = 2.0000259201119746 " "
y[1] (numeric) = 2.0000259201119746 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.300000000000006000E-3 " "
y[1] (analytic) = 2.000026645118326 " "
y[1] (numeric) = 2.0000266451183264 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220416467620556800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.400000000000007000E-3 " "
y[1] (analytic) = 2.000027380124944 " "
y[1] (numeric) = 2.0000273801249446 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220415651621328300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.500000000000007000E-3 " "
y[1] (analytic) = 2.000028125131836 " "
y[1] (numeric) = 2.0000281251318364 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220414824520478300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.600000000000007000E-3 " "
y[1] (analytic) = 2.000028880139009 " "
y[1] (numeric) = 2.0000288801390096 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220413986318021700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.700000000000007000E-3 " "
y[1] (analytic) = 2.000029645146471 " "
y[1] (numeric) = 2.0000296451464714 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220413137013976500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.8000000000000070000E-3 " "
y[1] (analytic) = 2.0000304201542294 " "
y[1] (numeric) = 2.00003042015423 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220412276608359500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.900000000000008000E-3 " "
y[1] (analytic) = 2.0000312051622924 " "
y[1] (numeric) = 2.0000312051622924 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.000000000000007000E-3 " "
y[1] (analytic) = 2.000032000170667 " "
y[1] (numeric) = 2.000032000170667 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.100000000000006000E-3 " "
y[1] (analytic) = 2.0000328051793614 " "
y[1] (numeric) = 2.000032805179362 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22040962878224900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.200000000000006000E-3 " "
y[1] (analytic) = 2.0000336201883844 " "
y[1] (numeric) = 2.000033620188385 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22040872397051780000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.300000000000005000E-3 " "
y[1] (analytic) = 2.0000344451977434 " "
y[1] (numeric) = 2.000034445197744 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220407808057303000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.400000000000005000E-3 " "
y[1] (analytic) = 2.000035280207447 " "
y[1] (numeric) = 2.0000352802074475 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22040688104262300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.500000000000004000E-3 " "
y[1] (analytic) = 2.000036125217503 " "
y[1] (numeric) = 2.0000361252175036 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220405942926496300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.600000000000003000E-3 " "
y[1] (analytic) = 2.0000369802279208 " "
y[1] (numeric) = 2.000036980227921 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220404993708941200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.700000000000003000E-3 " "
y[1] (analytic) = 2.000037845238708 " "
y[1] (numeric) = 2.0000378452387086 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220404033389977000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.800000000000002000E-3 " "
y[1] (analytic) = 2.000038720249874 " "
y[1] (numeric) = 2.0000387202498744 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220403061969622700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.900000000000001000E-3 " "
y[1] (analytic) = 2.000039605261427 " "
y[1] (numeric) = 2.0000396052614273 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220402079447898500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.000000000000001000E-3 " "
y[1] (analytic) = 2.000040500273376 " "
y[1] (numeric) = 2.0000405002733763 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22040108582482300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1000E-3 " "
y[1] (analytic) = 2.00004140528573 " "
y[1] (numeric) = 2.0000414052857303 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22040008110041700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.2000E-3 " "
y[1] (analytic) = 2.0000423202984976 " "
y[1] (numeric) = 2.0000423202984985 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440798130549400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.3000E-3 " "
y[1] (analytic) = 2.000043245311689 " "
y[1] (numeric) = 2.00004324531169 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440796076695384700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.399999999999998000E-3 " "
y[1] (analytic) = 2.000044180325313 " "
y[1] (numeric) = 2.0000441803253137 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440794000638828600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.499999999999998000E-3 " "
y[1] (analytic) = 2.000045125339379 " "
y[1] (numeric) = 2.0000451253393794 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220395951189886600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.599999999999997000E-3 " "
y[1] (analytic) = 2.0000460803538953 " "
y[1] (numeric) = 2.000046080353896 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44078978191826350000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.699999999999996000E-3 " "
y[1] (analytic) = 2.0000470453688735 " "
y[1] (numeric) = 2.000047045368874 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220393819627168600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.799999999999996000E-3 " "
y[1] (analytic) = 2.0000480203843214 " "
y[1] (numeric) = 2.000048020384322 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220392737194020700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.899999999999995000E-3 " "
y[1] (analytic) = 2.0000490054002498 " "
y[1] (numeric) = 2.00004900540025 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220391643659708500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.999999999999996000E-3 " "
y[1] (analytic) = 2.0000500004166684 " "
y[1] (numeric) = 2.000050000416669 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22039053902425430000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.009999999999999500E-2 " "
y[1] (analytic) = 2.0000510054335865 " "
y[1] (numeric) = 2.0000510054335874 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440778846575360600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.019999999999999400E-2 " "
y[1] (analytic) = 2.0000520204510153 " "
y[1] (numeric) = 2.0000520204510157 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22038829645000800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.029999999999999200E-2 " "
y[1] (analytic) = 2.0000530454689636 " "
y[1] (numeric) = 2.0000530454689645 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44077431702252200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.039999999999999300E-2 " "
y[1] (analytic) = 2.000054080487443 " "
y[1] (numeric) = 2.000054080487444 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440772018942922300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.049999999999999300E-2 " "
y[1] (analytic) = 2.0000551255064627 " "
y[1] (numeric) = 2.0000551255064636 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44076969866126500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.059999999999999100E-2 " "
y[1] (analytic) = 2.000056180526034 " "
y[1] (numeric) = 2.000056180526035 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44076735617759400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.06999999999999900E-2 " "
y[1] (analytic) = 2.0000572455461674 " "
y[1] (numeric) = 2.000057245546168 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220382495745978300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.07999999999999900E-2 " "
y[1] (analytic) = 2.0000583205668727 " "
y[1] (numeric) = 2.000058320566873 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22038130230220100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.08999999999999900E-2 " "
y[1] (analytic) = 2.0000594055881615 " "
y[1] (numeric) = 2.000059405588162 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220380097757488300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.099999999999998900E-2 " "
y[1] (analytic) = 2.000060500610044 " "
y[1] (numeric) = 2.000060500610045 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440757764223729500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.109999999999998800E-2 " "
y[1] (analytic) = 2.000061605632532 " "
y[1] (numeric) = 2.0000616056325327 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220377655365353700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.119999999999998800E-2 " "
y[1] (analytic) = 2.000062720655636 " "
y[1] (numeric) = 2.0000627206556367 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44075283503596100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.129999999999998800E-2 " "
y[1] (analytic) = 2.000063845679367 " "
y[1] (numeric) = 2.000063845679368 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.4407503371395396000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.139999999999998700E-2 " "
y[1] (analytic) = 2.0000649807037365 " "
y[1] (numeric) = 2.0000649807037374 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440747817041492000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.149999999999998500E-2 " "
y[1] (analytic) = 2.0000661257287558 " "
y[1] (numeric) = 2.0000661257287566 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440745274741871000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.159999999999998500E-2 " "
y[1] (analytic) = 2.000067280754436 " "
y[1] (numeric) = 2.000067280754437 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44074271024072540000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.169999999999998500E-2 " "
y[1] (analytic) = 2.00006844578079 " "
y[1] (numeric) = 2.0000684457807907 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44074012353810600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.179999999999998400E-2 " "
y[1] (analytic) = 2.000069620807828 " "
y[1] (numeric) = 2.0000696208078286 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220368757317032800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.189999999999998300E-2 " "
y[1] (analytic) = 2.000070805835562 " "
y[1] (numeric) = 2.0000708058355627 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440734883528657500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.199999999999998300E-2 " "
y[1] (analytic) = 2.0000720008640043 " "
y[1] (numeric) = 2.0000720008640047 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22036611511096600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.209999999999998300E-2 " "
y[1] (analytic) = 2.000073205893166 " "
y[1] (numeric) = 2.000073205893167 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44072955471394500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.219999999999998200E-2 " "
y[1] (analytic) = 2.0000744209230605 " "
y[1] (numeric) = 2.0000744209230614 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44072685700474700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.229999999999998000E-2 " "
y[1] (analytic) = 2.0000756459536992 " "
y[1] (numeric) = 2.0000756459537 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44072413709439340000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.23999999999999800E-2 " "
y[1] (analytic) = 2.000076880985094 " "
y[1] (numeric) = 2.000076880985095 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44072139498293900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.24999999999999800E-2 " "
y[1] (analytic) = 2.000078126017258 " "
y[1] (numeric) = 2.0000781260172587 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220359315335218300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.25999999999999780E-2 " "
y[1] (analytic) = 2.000079381050203 " "
y[1] (numeric) = 2.0000793810502038 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44071584415694500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.269999999999997800E-2 " "
y[1] (analytic) = 2.0000806460839415 " "
y[1] (numeric) = 2.000080646083943 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66106955316377600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.279999999999997800E-2 " "
y[1] (analytic) = 2.000081921118487 " "
y[1] (numeric) = 2.0000819211184884 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66106530679081500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.289999999999997800E-2 " "
y[1] (analytic) = 2.000083206153852 " "
y[1] (numeric) = 2.000083206153853 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6610610271166200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.299999999999997800E-2 " "
y[1] (analytic) = 2.0000845011900483 " "
y[1] (numeric) = 2.0000845011900497 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66105671414127700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.309999999999997600E-2 " "
y[1] (analytic) = 2.00008580622709 " "
y[1] (numeric) = 2.000085806227091 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66105236786487300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.319999999999997600E-2 " "
y[1] (analytic) = 2.0000871212649898 " "
y[1] (numeric) = 2.000087121264991 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6610479882874900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.329999999999997600E-2 " "
y[1] (analytic) = 2.000088446303761 " "
y[1] (numeric) = 2.0000884463037623 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66104357540922100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.339999999999997300E-2 " "
y[1] (analytic) = 2.000089781343416 " "
y[1] (numeric) = 2.0000897813434175 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66103912923015400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.349999999999997300E-2 " "
y[1] (analytic) = 2.0000911263839694 " "
y[1] (numeric) = 2.0000911263839707 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66103464975037600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.359999999999997300E-2 " "
y[1] (analytic) = 2.000092481425434 " "
y[1] (numeric) = 2.000092481425435 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44068675797998400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.369999999999997300E-2 " "
y[1] (analytic) = 2.0000938464678235 " "
y[1] (numeric) = 2.0000938464678244 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440683727259363600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.379999999999997300E-2 " "
y[1] (analytic) = 2.0000952215111507 " "
y[1] (numeric) = 2.000095221511152 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66102101150767700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.389999999999997000E-2 " "
y[1] (analytic) = 2.000096606555431 " "
y[1] (numeric) = 2.000096606555432 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66101639882596000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.39999999999999700E-2 " "
y[1] (analytic) = 2.0000980016006773 " "
y[1] (numeric) = 2.000098001600678 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440674501895990000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.40999999999999700E-2 " "
y[1] (analytic) = 2.0000994066469033 " "
y[1] (numeric) = 2.000099406646904 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440671382374565000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.41999999999999680E-2 " "
y[1] (analytic) = 2.000100821694123 " "
y[1] (numeric) = 2.0001008216941245 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66100236097964300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.429999999999996800E-2 " "
y[1] (analytic) = 2.000102246742352 " "
y[1] (numeric) = 2.000102246742353 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.4406650767316400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.439999999999996800E-2 " "
y[1] (analytic) = 2.000103681791603 " "
y[1] (numeric) = 2.000103681791604 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440661890610266000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.449999999999996800E-2 " "
y[1] (analytic) = 2.0001051268418903 " "
y[1] (numeric) = 2.0001051268418917 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66098802343355300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.459999999999996900E-2 " "
y[1] (analytic) = 2.0001065818932293 " "
y[1] (numeric) = 2.0001065818932307 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66098317765201900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.469999999999996600E-2 " "
y[1] (analytic) = 2.000108046945634 " "
y[1] (numeric) = 2.0001080469456354 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66097829857089200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.479999999999996600E-2 " "
y[1] (analytic) = 2.0001095219991196 " "
y[1] (numeric) = 2.0001095219991205 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44064892412684650000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.489999999999996600E-2 " "
y[1] (analytic) = 2.0001110070537003 " "
y[1] (numeric) = 2.000111007053701 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44064562700683560000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.499999999999996300E-2 " "
y[1] (analytic) = 2.000112502109391 " "
y[1] (numeric) = 2.000112502109392 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440642307687293600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.509999999999996300E-2 " "
y[1] (analytic) = 2.0001140071662062 " "
y[1] (numeric) = 2.0001140071662076 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66095844925243100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.519999999999996400E-2 " "
y[1] (analytic) = 2.0001155222241622 " "
y[1] (numeric) = 2.000115522224163 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44063560244988160000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.529999999999996400E-2 " "
y[1] (analytic) = 2.000117047283273 " "
y[1] (numeric) = 2.000117047283274 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440632216532145500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.539999999999996400E-2 " "
y[1] (analytic) = 2.0001185823435543 " "
y[1] (numeric) = 2.0001185823435557 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66094321262272200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.549999999999996000E-2 " "
y[1] (analytic) = 2.0001201274050215 " "
y[1] (numeric) = 2.000120127405023 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66093806714843100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.559999999999996000E-2 " "
y[1] (analytic) = 2.0001216824676904 " "
y[1] (numeric) = 2.0001216824676913 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440621925583633000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.56999999999999600E-2 " "
y[1] (analytic) = 2.000123247531576 " "
y[1] (numeric) = 2.000123247531577 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44061845086925600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.57999999999999590E-2 " "
y[1] (analytic) = 2.0001248225966934 " "
y[1] (numeric) = 2.0001248225966948 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66092243093383800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.58999999999999590E-2 " "
y[1] (analytic) = 2.0001264076630596 " "
y[1] (numeric) = 2.000126407663061 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66091715226541300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.59999999999999600E-2 " "
y[1] (analytic) = 2.00012800273069 " "
y[1] (numeric) = 2.000128002730691 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44060789353247830000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.609999999999996000E-2 " "
y[1] (analytic) = 2.0001296077996003 " "
y[1] (numeric) = 2.000129607799601 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440604330022571700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.619999999999996000E-2 " "
y[1] (analytic) = 2.0001312228698067 " "
y[1] (numeric) = 2.0001312228698076 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44060074431395900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.629999999999995600E-2 " "
y[1] (analytic) = 2.000132847941325 " "
y[1] (numeric) = 2.0001328479413263 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6608957046100700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.639999999999995600E-2 " "
y[1] (analytic) = 2.000134483014172 " "
y[1] (numeric) = 2.000134483014173 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6608902594513600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.649999999999995600E-2 " "
y[1] (analytic) = 2.0001361280883643 " "
y[1] (numeric) = 2.000136128088365 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44058985399660930000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.659999999999995400E-2 " "
y[1] (analytic) = 2.0001377831639173 " "
y[1] (numeric) = 2.000137783163918 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44058617949389670000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.669999999999995400E-2 " "
y[1] (analytic) = 2.000139448240848 " "
y[1] (numeric) = 2.000139448240849 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66087372418926500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.679999999999995400E-2 " "
y[1] (analytic) = 2.0001411233191737 " "
y[1] (numeric) = 2.0001411233191746 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.4405787638935200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.689999999999995400E-2 " "
y[1] (analytic) = 2.0001428083989103 " "
y[1] (numeric) = 2.0001428083989112 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440575022796002000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.699999999999995400E-2 " "
y[1] (analytic) = 2.000144503480075 " "
y[1] (numeric) = 2.000144503480076 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440571259500366600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.709999999999995000E-2 " "
y[1] (analytic) = 2.0001462085626853 " "
y[1] (numeric) = 2.0001462085626858 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220283737003342600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.71999999999999510E-2 " "
y[1] (analytic) = 2.000147923646757 " "
y[1] (numeric) = 2.000147923646758 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44056366631503700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.72999999999999520E-2 " "
y[1] (analytic) = 2.0001496487323083 " "
y[1] (numeric) = 2.000149648732309 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44055983642549600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.73999999999999500E-2 " "
y[1] (analytic) = 2.0001513838193556 " "
y[1] (numeric) = 2.000151383819357 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6608339765072100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.74999999999999500E-2 " "
y[1] (analytic) = 2.0001531289079173 " "
y[1] (numeric) = 2.0001531289079186 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66082816507956800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.75999999999999500E-2 " "
y[1] (analytic) = 2.00015488399801 " "
y[1] (numeric) = 2.0001548839980114 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66082232035543400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.76999999999999500E-2 " "
y[1] (analytic) = 2.000156649089652 " "
y[1] (numeric) = 2.000156649089653 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66081644233492500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.779999999999995000E-2 " "
y[1] (analytic) = 2.0001584241828603 " "
y[1] (numeric) = 2.000158424182861 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44054035401210500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.789999999999994700E-2 " "
y[1] (analytic) = 2.0001602092776527 " "
y[1] (numeric) = 2.0001602092776536 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44053639093683500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.799999999999994700E-2 " "
y[1] (analytic) = 2.0001620043740473 " "
y[1] (numeric) = 2.0001620043740482 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44053240566421800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.809999999999994700E-2 " "
y[1] (analytic) = 2.0001638094720615 " "
y[1] (numeric) = 2.000163809472063 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66079259729150300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.819999999999994400E-2 " "
y[1] (analytic) = 2.0001656245717143 " "
y[1] (numeric) = 2.0001656245717157 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66078655279089500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.829999999999994400E-2 " "
y[1] (analytic) = 2.0001674496730235 " "
y[1] (numeric) = 2.0001674496730244 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440520316663086300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.839999999999994400E-2 " "
y[1] (analytic) = 2.000169284776007 " "
y[1] (numeric) = 2.0001692847760077 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440516242601884600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.849999999999994400E-2 " "
y[1] (analytic) = 2.000171129880683 " "
y[1] (numeric) = 2.000171129880684 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440512146343738600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.859999999999994400E-2 " "
y[1] (analytic) = 2.0001729849870706 " "
y[1] (numeric) = 2.0001729849870715 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44050802788873100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.869999999999994200E-2 " "
y[1] (analytic) = 2.0001748500951884 " "
y[1] (numeric) = 2.000174850095189 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220251943618471200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.879999999999994200E-2 " "
y[1] (analytic) = 2.0001767252050544 " "
y[1] (numeric) = 2.000176725205055 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22024986219422900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.88999999999999420E-2 " "
y[1] (analytic) = 2.000178610316688 " "
y[1] (numeric) = 2.0001786103166883 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220247769671679600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.89999999999999400E-2 " "
y[1] (analytic) = 2.000180505430107 " "
y[1] (numeric) = 2.000180505430108 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440491332101732500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.90999999999999400E-2 " "
y[1] (analytic) = 2.0001824105453316 " "
y[1] (numeric) = 2.000182410545332 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220243551331829400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.91999999999999400E-2 " "
y[1] (analytic) = 2.0001843256623797 " "
y[1] (numeric) = 2.0001843256623806 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44048285102922550000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.92999999999999400E-2 " "
y[1] (analytic) = 2.0001862507812715 " "
y[1] (numeric) = 2.0001862507812724 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440478577198514500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.939999999999994000E-2 " "
y[1] (analytic) = 2.000188185902026 " "
y[1] (numeric) = 2.0001881859020267 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44047428117161400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.949999999999993700E-2 " "
y[1] (analytic) = 2.000190131024662 " "
y[1] (numeric) = 2.000190131024663 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44046996294860800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.959999999999993700E-2 " "
y[1] (analytic) = 2.0001920861492 " "
y[1] (numeric) = 2.0001920861492004 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220232811264791500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.969999999999993700E-2 " "
y[1] (analytic) = 2.000194051275658 " "
y[1] (numeric) = 2.000194051275659 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440461259914628000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.979999999999993400E-2 " "
y[1] (analytic) = 2.000196026404057 " "
y[1] (numeric) = 2.000196026404058 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44045687510382760000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.989999999999993400E-2 " "
y[1] (analytic) = 2.0001980115344162 " "
y[1] (numeric) = 2.000198011534417 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44045246809727070000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.999999999999993400E-2 " "
y[1] (analytic) = 2.0002000066667556 " "
y[1] (numeric) = 2.0002000066667565 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44044803889504570000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.009999999999993500E-2 " "
y[1] (analytic) = 2.000202011801095 " "
y[1] (numeric) = 2.000202011801096 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44044358749724100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.019999999999993500E-2 " "
y[1] (analytic) = 2.000204026937454 " "
y[1] (numeric) = 2.0002040269374555 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66065867085591800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.029999999999993200E-2 " "
y[1] (analytic) = 2.0002060520758542 " "
y[1] (numeric) = 2.000206052075855 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44043461811524700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.039999999999993200E-2 " "
y[1] (analytic) = 2.000208087216315 " "
y[1] (numeric) = 2.0002080872163153 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220215050065618700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.04999999999999320E-2 " "
y[1] (analytic) = 2.0002101323588555 " "
y[1] (numeric) = 2.0002101323588564 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440425559952008700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.05999999999999300E-2 " "
y[1] (analytic) = 2.0002121875034984 " "
y[1] (numeric) = 2.000212187503499 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220210498788823500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.06999999999999300E-2 " "
y[1] (analytic) = 2.0002142526502626 " "
y[1] (numeric) = 2.000214252650263 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220208206504123700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.07999999999999300E-2 " "
y[1] (analytic) = 2.0002163277991696 " "
y[1] (numeric) = 2.00021632779917 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220205903121950400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.08999999999999300E-2 " "
y[1] (analytic) = 2.0002184129502396 " "
y[1] (numeric) = 2.00021841295024 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22020358864234900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.09999999999999300E-2 " "
y[1] (analytic) = 2.000220508103494 " "
y[1] (numeric) = 2.0002205081034945 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22020126306536600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.109999999999992700E-2 " "
y[1] (analytic) = 2.000222613258954 " "
y[1] (numeric) = 2.000222613258954 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.119999999999992700E-2 " "
y[1] (analytic) = 2.0002247284166392 " "
y[1] (numeric) = 2.0002247284166392 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.129999999999992700E-2 " "
y[1] (analytic) = 2.0002268535765717 " "
y[1] (numeric) = 2.000226853576572 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22019421975059580000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.139999999999992500E-2 " "
y[1] (analytic) = 2.0002289887387734 " "
y[1] (numeric) = 2.0002289887387734 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.149999999999992500E-2 " "
y[1] (analytic) = 2.000231133903265 " "
y[1] (numeric) = 2.000231133903265 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.159999999999992500E-2 " "
y[1] (analytic) = 2.000233289070067 " "
y[1] (numeric) = 2.0002332890700676 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220187076561080000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.169999999999992500E-2 " "
y[1] (analytic) = 2.000235454239203 " "
y[1] (numeric) = 2.000235454239203 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.179999999999992500E-2 " "
y[1] (analytic) = 2.000237629410693 " "
y[1] (numeric) = 2.000237629410693 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.189999999999992200E-2 " "
y[1] (analytic) = 2.0002398145845595 " "
y[1] (numeric) = 2.0002398145845595 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.199999999999992200E-2 " "
y[1] (analytic) = 2.0002420097608242 " "
y[1] (numeric) = 2.0002420097608242 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.209999999999992200E-2 " "
y[1] (analytic) = 2.0002442149395088 " "
y[1] (numeric) = 2.0002442149395088 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.21999999999999200E-2 " "
y[1] (analytic) = 2.0002464301206357 " "
y[1] (numeric) = 2.0002464301206357 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.22999999999999200E-2 " "
y[1] (analytic) = 2.000248655304227 " "
y[1] (numeric) = 2.000248655304227 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.23999999999999200E-2 " "
y[1] (analytic) = 2.0002508904903045 " "
y[1] (numeric) = 2.0002508904903045 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.24999999999999200E-2 " "
y[1] (analytic) = 2.000253135678891 " "
y[1] (numeric) = 2.000253135678891 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.25999999999999200E-2 " "
y[1] (analytic) = 2.0002553908700094 " "
y[1] (numeric) = 2.000255390870009 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220162544628395700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.269999999999991700E-2 " "
y[1] (analytic) = 2.000257656063681 " "
y[1] (numeric) = 2.0002576560636807 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22016003040322500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.279999999999991800E-2 " "
y[1] (analytic) = 2.0002599312599294 " "
y[1] (numeric) = 2.000259931259929 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220157505081544500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.289999999999991800E-2 " "
y[1] (analytic) = 2.0002622164587773 " "
y[1] (numeric) = 2.000262216458777 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22015496866340300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.299999999999991500E-2 " "
y[1] (analytic) = 2.000264511660247 " "
y[1] (numeric) = 2.0002645116602467 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22015242114885330000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.309999999999991500E-2 " "
y[1] (analytic) = 2.0002668168643627 " "
y[1] (numeric) = 2.000266816864362 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440299725075888500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.319999999999991500E-2 " "
y[1] (analytic) = 2.0002691320711454 " "
y[1] (numeric) = 2.000269132071145 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220147292830729500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.329999999999991500E-2 " "
y[1] (analytic) = 2.00027145728062 " "
y[1] (numeric) = 2.0002714572806197 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22014471202725800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.339999999999991500E-2 " "
y[1] (analytic) = 2.000273792492809 " "
y[1] (numeric) = 2.000273792492809 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.349999999999991300E-2 " "
y[1] (analytic) = 2.0002761377077363 " "
y[1] (numeric) = 2.0002761377077363 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.359999999999991300E-2 " "
y[1] (analytic) = 2.0002784929254247 " "
y[1] (numeric) = 2.0002784929254247 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.369999999999991300E-2 " "
y[1] (analytic) = 2.0002808581458984 " "
y[1] (numeric) = 2.000280858145898 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220134277851851800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.37999999999999100E-2 " "
y[1] (analytic) = 2.0002832333691805 " "
y[1] (numeric) = 2.00028323336918 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220131641567880400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.38999999999999100E-2 " "
y[1] (analytic) = 2.000285618595295 " "
y[1] (numeric) = 2.0002856185952944 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220128994187966500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.39999999999999100E-2 " "
y[1] (analytic) = 2.0002880138242656 " "
y[1] (numeric) = 2.000288013824265 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220126335712162600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.40999999999999100E-2 " "
y[1] (analytic) = 2.000290419056116 " "
y[1] (numeric) = 2.0002904190561157 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220123666140522400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.41999999999999100E-2 " "
y[1] (analytic) = 2.000292834290871 " "
y[1] (numeric) = 2.0002928342908706 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220120985473098600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.42999999999999080E-2 " "
y[1] (analytic) = 2.0002952595285546 " "
y[1] (numeric) = 2.0002952595285537 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.4402365874198900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.439999999999990800E-2 " "
y[1] (analytic) = 2.0002976947691904 " "
y[1] (numeric) = 2.0002976947691895 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44023118170223160000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.449999999999990800E-2 " "
y[1] (analytic) = 2.000300140012803 " "
y[1] (numeric) = 2.0003001400128024 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220112876896665200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.459999999999990500E-2 " "
y[1] (analytic) = 2.0003025952594173 " "
y[1] (numeric) = 2.0003025952594164 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44022030369329300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.469999999999990500E-2 " "
y[1] (analytic) = 2.0003050605090573 " "
y[1] (numeric) = 2.0003050605090564 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440214831402230500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.479999999999990500E-2 " "
y[1] (analytic) = 2.000307535761748 " "
y[1] (numeric) = 2.0003075357617472 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440209336920250500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.489999999999990600E-2 " "
y[1] (analytic) = 2.0003100210175147 " "
y[1] (numeric) = 2.0003100210175133 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66030573037119500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.499999999999990600E-2 " "
y[1] (analytic) = 2.000312516276381 " "
y[1] (numeric) = 2.0003125162763795 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66029742207597100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.509999999999990600E-2 " "
y[1] (analytic) = 2.0003150215383725 " "
y[1] (numeric) = 2.000315021538371 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66028908049486800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.519999999999990000E-2 " "
y[1] (analytic) = 2.000317536803514 " "
y[1] (numeric) = 2.000317536803513 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440187137085369600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.529999999999990000E-2 " "
y[1] (analytic) = 2.0003200620718316 " "
y[1] (numeric) = 2.00032006207183 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66027229747569200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.539999999999990000E-2 " "
y[1] (analytic) = 2.0003225973433487 " "
y[1] (numeric) = 2.000322597343348 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440175904025306400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5499999999999900E-2 " "
y[1] (analytic) = 2.0003251426180926 " "
y[1] (numeric) = 2.0003251426180917 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44017025421001100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5599999999999900E-2 " "
y[1] (analytic) = 2.000327697896088 " "
y[1] (numeric) = 2.000327697896087 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440164582204689000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5699999999999900E-2 " "
y[1] (analytic) = 2.0003302631773603 " "
y[1] (numeric) = 2.0003302631773594 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44015888800945700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5799999999999900E-2 " "
y[1] (analytic) = 2.0003328384619348 " "
y[1] (numeric) = 2.0003328384619343 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220076585812213700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5899999999999900E-2 " "
y[1] (analytic) = 2.0003354237498385 " "
y[1] (numeric) = 2.0003354237498376 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44014743304971100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.599999999999990000E-2 " "
y[1] (analytic) = 2.000338019041096 " "
y[1] (numeric) = 2.000338019041095 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44014167228542760000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.609999999999989600E-2 " "
y[1] (analytic) = 2.0003406243357333 " "
y[1] (numeric) = 2.000340624335733 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220067944665845600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.619999999999989600E-2 " "
y[1] (analytic) = 2.0003432396337772 " "
y[1] (numeric) = 2.000343239633777 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22006504209430800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.629999999999989600E-2 " "
y[1] (analytic) = 2.0003458649352535 " "
y[1] (numeric) = 2.000345864935253 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220062128428159400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.639999999999989600E-2 " "
y[1] (analytic) = 2.0003485002401886 " "
y[1] (numeric) = 2.000348500240188 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220059203667457700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.649999999999989600E-2 " "
y[1] (analytic) = 2.000351145548609 " "
y[1] (numeric) = 2.000351145548608 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44011253562452250000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.659999999999989600E-2 " "
y[1] (analytic) = 2.00035380086054 " "
y[1] (numeric) = 2.0003538008605397 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.2200533208626300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.669999999999989600E-2 " "
y[1] (analytic) = 2.00035646617601 " "
y[1] (numeric) = 2.0003564661760094 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220050362818621600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.679999999999989000E-2 " "
y[1] (analytic) = 2.0003591414950437 " "
y[1] (numeric) = 2.0003591414950437 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.689999999999989000E-2 " "
y[1] (analytic) = 2.0003618268176693 " "
y[1] (numeric) = 2.0003618268176693 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.699999999999989000E-2 " "
y[1] (analytic) = 2.0003645221439132 " "
y[1] (numeric) = 2.0003645221439132 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.70999999999998900E-2 " "
y[1] (analytic) = 2.0003672274738022 " "
y[1] (numeric) = 2.0003672274738022 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.71999999999998900E-2 " "
y[1] (analytic) = 2.000369942807364 " "
y[1] (numeric) = 2.000369942807364 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.72999999999998900E-2 " "
y[1] (analytic) = 2.0003726681446246 " "
y[1] (numeric) = 2.0003726681446246 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.73999999999998900E-2 " "
y[1] (analytic) = 2.000375403485612 " "
y[1] (numeric) = 2.000375403485612 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.74999999999998900E-2 " "
y[1] (analytic) = 2.0003781488303534 " "
y[1] (numeric) = 2.0003781488303534 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.75999999999998900E-2 " "
y[1] (analytic) = 2.0003809041788765 " "
y[1] (numeric) = 2.0003809041788765 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.769999999999988600E-2 " "
y[1] (analytic) = 2.0003836695312085 " "
y[1] (numeric) = 2.0003836695312085 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.779999999999988600E-2 " "
y[1] (analytic) = 2.0003864448873774 " "
y[1] (numeric) = 2.0003864448873774 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.789999999999988600E-2 " "
y[1] (analytic) = 2.0003892302474107 " "
y[1] (numeric) = 2.0003892302474107 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.799999999999988600E-2 " "
y[1] (analytic) = 2.000392025611336 " "
y[1] (numeric) = 2.0003920256113363 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220010898685448300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.809999999999988600E-2 " "
y[1] (analytic) = 2.0003948309791815 " "
y[1] (numeric) = 2.0003948309791824 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44001557065295540000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.819999999999988600E-2 " "
y[1] (analytic) = 2.000397646350976 " "
y[1] (numeric) = 2.0003976463509763 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220004660874040400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.829999999999988600E-2 " "
y[1] (analytic) = 2.0004004717267465 " "
y[1] (numeric) = 2.000400471726747 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.22000152532819900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.839999999999988000E-2 " "
y[1] (analytic) = 2.000403307106522 " "
y[1] (numeric) = 2.0004033071065224 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21999837868901680000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.849999999999988000E-2 " "
y[1] (analytic) = 2.0004061524903305 " "
y[1] (numeric) = 2.000406152490331 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219995220956556500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.859999999999988000E-2 " "
y[1] (analytic) = 2.0004090078782 " "
y[1] (numeric) = 2.000409007878201 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439984104261762700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.869999999999988000E-2 " "
y[1] (analytic) = 2.00041187327016 " "
y[1] (numeric) = 2.0004118732701612 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65996661663616400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.87999999999998800E-2 " "
y[1] (analytic) = 2.000414748666239 " "
y[1] (numeric) = 2.00041474866624 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43997136240027900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.88999999999998800E-2 " "
y[1] (analytic) = 2.0004176340664652 " "
y[1] (numeric) = 2.000417634066466 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439964958190400500000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.89999999999998800E-2 " "
y[1] (analytic) = 2.000420529470868 " "
y[1] (numeric) = 2.0004205294708686 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219979265897300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.90999999999998800E-2 " "
y[1] (analytic) = 2.000423434879476 " "
y[1] (numeric) = 2.0004234348794765 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219976041606504200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.91999999999998800E-2 " "
y[1] (analytic) = 2.000426350292318 " "
y[1] (numeric) = 2.0004263502923187 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43994561244575540000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.929999999999987600E-2 " "
y[1] (analytic) = 2.0004292757094237 " "
y[1] (numeric) = 2.0004292757094246 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43993911949296700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.939999999999987600E-2 " "
y[1] (analytic) = 2.000432211130822 " "
y[1] (numeric) = 2.000432211130823 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43993260435477500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.949999999999987600E-2 " "
y[1] (analytic) = 2.0004351565565432 " "
y[1] (numeric) = 2.0004351565565437 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219963033515654200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.959999999999987600E-2 " "
y[1] (analytic) = 2.0004381119866155 " "
y[1] (numeric) = 2.000438111986616 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219959753761349700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.969999999999987600E-2 " "
y[1] (analytic) = 2.0004410774210686 " "
y[1] (numeric) = 2.0004410774210695 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43991292582907900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.979999999999987700E-2 " "
y[1] (analytic) = 2.0004440528599328 " "
y[1] (numeric) = 2.0004440528599337 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43990632195057800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.989999999999987700E-2 " "
y[1] (analytic) = 2.0004470383032373 " "
y[1] (numeric) = 2.0004470383032382 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439899695887329400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.999999999999987000E-2 " "
y[1] (analytic) = 2.0004500337510125 " "
y[1] (numeric) = 2.0004500337510134 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43989304763946440000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.009999999999987000E-2 " "
y[1] (analytic) = 2.000453039203288 " "
y[1] (numeric) = 2.000453039203289 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439886377207116000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.019999999999987000E-2 " "
y[1] (analytic) = 2.000456054660094 " "
y[1] (numeric) = 2.000456054660095 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43987968459041870000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.029999999999987000E-2 " "
y[1] (analytic) = 2.00045908012146 " "
y[1] (numeric) = 2.0004590801214612 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65980945468426100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.03999999999998700E-2 " "
y[1] (analytic) = 2.0004621155874176 " "
y[1] (numeric) = 2.0004621155874185 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43986623280451200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.04999999999998700E-2 " "
y[1] (analytic) = 2.0004651610579955 " "
y[1] (numeric) = 2.000465161057997 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65978921045335800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.05999999999998700E-2 " "
y[1] (analytic) = 2.0004682165332257 " "
y[1] (numeric) = 2.000468216533227 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65977903842423000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.06999999999998700E-2 " "
y[1] (analytic) = 2.000471282013138 " "
y[1] (numeric) = 2.000471282013139 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65976883311958700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.07999999999998700E-2 " "
y[1] (analytic) = 2.0004743574977626 " "
y[1] (numeric) = 2.0004743574977644 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87967812605284600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.08999999999998660E-2 " "
y[1] (analytic) = 2.0004774429871315 " "
y[1] (numeric) = 2.000477442987133 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65974832268457600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.099999999999986700E-2 " "
y[1] (analytic) = 2.0004805384812743 " "
y[1] (numeric) = 2.0004805384812756 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6597380175546200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.109999999999986700E-2 " "
y[1] (analytic) = 2.000483643980223 " "
y[1] (numeric) = 2.000483643980224 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439818452766644600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.119999999999986700E-2 " "
y[1] (analytic) = 2.0004867594840077 " "
y[1] (numeric) = 2.0004867594840086 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43981153831388600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.12999999999998700E-2 " "
y[1] (analytic) = 2.00048988499266 " "
y[1] (numeric) = 2.000489884992661 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439804601678273300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.13999999999998700E-2 " "
y[1] (analytic) = 2.0004930205062115 " "
y[1] (numeric) = 2.0004930205062124 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43979764285994670000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.149999999999987000E-2 " "
y[1] (analytic) = 2.0004961660246927 " "
y[1] (numeric) = 2.000496166024694 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65968599278856800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.15999999999998800E-2 " "
y[1] (analytic) = 2.000499321548136 " "
y[1] (numeric) = 2.000499321548137 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43978365867570600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.16999999999998840E-2 " "
y[1] (analytic) = 2.0005024870765724 " "
y[1] (numeric) = 2.0005024870765733 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43977663331007300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.179999999999988400E-2 " "
y[1] (analytic) = 2.000505662610034 " "
y[1] (numeric) = 2.0005056626100344 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219884792881141600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.18999999999998840E-2 " "
y[1] (analytic) = 2.0005088481485513 " "
y[1] (numeric) = 2.0005088481485522 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439762516032480500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.19999999999998900E-2 " "
y[1] (analytic) = 2.000512043692158 " "
y[1] (numeric) = 2.000512043692159 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439755424120803000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.20999999999998950E-2 " "
y[1] (analytic) = 2.000515249240885 " "
y[1] (numeric) = 2.0005152492408858 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439748310027395500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.219999999999989500E-2 " "
y[1] (analytic) = 2.000518464794764 " "
y[1] (numeric) = 2.000518464794765 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43974117375239900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.2299999999999895E-2 " "
y[1] (analytic) = 2.0005216903538283 " "
y[1] (numeric) = 2.0005216903538288 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219867007647977300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.2399999999999900E-2 " "
y[1] (analytic) = 2.000524925918109 " "
y[1] (numeric) = 2.0005249259181097 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439726834658208600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.249999999999990700E-2 " "
y[1] (analytic) = 2.0005281714876393 " "
y[1] (numeric) = 2.0005281714876397 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219859815919650600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.25999999999999070E-2 " "
y[1] (analytic) = 2.0005314270624512 " "
y[1] (numeric) = 2.0005314270624517 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219856203419689200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.26999999999999070E-2 " "
y[1] (analytic) = 2.000534692642577 " "
y[1] (numeric) = 2.000534692642578 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439705159658585000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.27999999999999100E-2 " "
y[1] (analytic) = 2.0005379682280506 " "
y[1] (numeric) = 2.000537968228051 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219848945148532300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.289999999999992000E-2 " "
y[1] (analytic) = 2.0005412538189034 " "
y[1] (numeric) = 2.000541253818904 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219845299377481700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.29999999999999200E-2 " "
y[1] (analytic) = 2.000544549415169 " "
y[1] (numeric) = 2.000544549415169 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.30999999999999200E-2 " "
y[1] (analytic) = 2.0005478550168796 " "
y[1] (numeric) = 2.00054785501688 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219837974564800600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.319999999999992400E-2 " "
y[1] (analytic) = 2.0005511706240693 " "
y[1] (numeric) = 2.0005511706240693 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.32999999999999300E-2 " "
y[1] (analytic) = 2.00055449623677 " "
y[1] (numeric) = 2.0005544962367705 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219830605391834900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.33999999999999300E-2 " "
y[1] (analytic) = 2.0005578318550166 " "
y[1] (numeric) = 2.0005578318550166 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.34999999999999300E-2 " "
y[1] (analytic) = 2.0005611774788408 " "
y[1] (numeric) = 2.000561177478841 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21982319185917320000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.359999999999993500E-2 " "
y[1] (analytic) = 2.000564533108277 " "
y[1] (numeric) = 2.0005645331082773 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21981946845814200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.36999999999999400E-2 " "
y[1] (analytic) = 2.000567898743358 " "
y[1] (numeric) = 2.000567898743359 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43963146793481900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.37999999999999400E-2 " "
y[1] (analytic) = 2.000571274384119 " "
y[1] (numeric) = 2.0005712743841197 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439623976774100000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.389999999999994000E-2 " "
y[1] (analytic) = 2.0005746600305923 " "
y[1] (numeric) = 2.000574660030593 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439616463434278300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.39999999999999470E-2 " "
y[1] (analytic) = 2.000578055682812 " "
y[1] (numeric) = 2.000578055682813 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43960892791550400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.40999999999999500E-2 " "
y[1] (analytic) = 2.000581461340813 " "
y[1] (numeric) = 2.0005814613408135 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219800685108962400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.41999999999999500E-2 " "
y[1] (analytic) = 2.000584877004628 " "
y[1] (numeric) = 2.0005848770046284 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21979689517084800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.429999999999995000E-2 " "
y[1] (analytic) = 2.0005883026742914 " "
y[1] (numeric) = 2.0005883026742923 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43958618828696800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.43999999999999600E-2 " "
y[1] (analytic) = 2.0005917383498386 " "
y[1] (numeric) = 2.000591738349839 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21978928202694500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.44999999999999640E-2 " "
y[1] (analytic) = 2.0005951840313028 " "
y[1] (numeric) = 2.000595184031303 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219785458821308700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.459999999999996400E-2 " "
y[1] (analytic) = 2.000598639718719 " "
y[1] (numeric) = 2.0005986397187194 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21978162452665100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.46999999999999640E-2 " "
y[1] (analytic) = 2.0006021054121215 " "
y[1] (numeric) = 2.000602105412122 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219777779143048700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.47999999999999700E-2 " "
y[1] (analytic) = 2.0006055811115453 " "
y[1] (numeric) = 2.0006055811115457 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21977392267057820000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.48999999999999750E-2 " "
y[1] (analytic) = 2.0006090668170247 " "
y[1] (numeric) = 2.000609066817025 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21977005510931700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.499999999999997600E-2 " "
y[1] (analytic) = 2.0006125625285947 " "
y[1] (numeric) = 2.000612562528595 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219766176459342700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.50999999999999760E-2 " "
y[1] (analytic) = 2.0006160682462903 " "
y[1] (numeric) = 2.000616068246291 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219762286720732300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.51999999999999800E-2 " "
y[1] (analytic) = 2.0006195839701473 " "
y[1] (numeric) = 2.0006195839701473 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.529999999999998700E-2 " "
y[1] (analytic) = 2.000623109700199 " "
y[1] (numeric) = 2.0006231097001996 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21975447397791510000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.53999999999999870E-2 " "
y[1] (analytic) = 2.0006266454364825 " "
y[1] (numeric) = 2.000626645436483 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219750550973864400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.54999999999999870E-2 " "
y[1] (analytic) = 2.0006301911790327 " "
y[1] (numeric) = 2.0006301911790327 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.55999999999999900E-2 " "
y[1] (analytic) = 2.0006337469278845 " "
y[1] (numeric) = 2.0006337469278845 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.570000000000000000E-2 " "
y[1] (analytic) = 2.0006373126830734 " "
y[1] (numeric) = 2.000637312683074 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21973871543208600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.5800E-2 " "
y[1] (analytic) = 2.000640888444636 " "
y[1] (numeric) = 2.0006408884446363 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21973474807521410000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.5900E-2 " "
y[1] (analytic) = 2.0006444742126073 " "
y[1] (numeric) = 2.0006444742126077 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219730769630334200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.600000000000000400E-2 " "
y[1] (analytic) = 2.0006480699870233 " "
y[1] (numeric) = 2.0006480699870237 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219726780097526500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.61000000000000100E-2 " "
y[1] (analytic) = 2.0006516757679202 " "
y[1] (numeric) = 2.0006516757679202 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.62000000000000100E-2 " "
y[1] (analytic) = 2.0006552915553337 " "
y[1] (numeric) = 2.0006552915553337 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.63000000000000100E-2 " "
y[1] (analytic) = 2.0006589173493 " "
y[1] (numeric) = 2.0006589173493 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.640000000000001600E-2 " "
y[1] (analytic) = 2.000662553149856 " "
y[1] (numeric) = 2.000662553149856 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.65000000000000200E-2 " "
y[1] (analytic) = 2.000666198957037 " "
y[1] (numeric) = 2.000666198957037 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.66000000000000200E-2 " "
y[1] (analytic) = 2.00066985477088 " "
y[1] (numeric) = 2.00066985477088 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.670000000000002000E-2 " "
y[1] (analytic) = 2.0006735205914215 " "
y[1] (numeric) = 2.000673520591422 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219698542912613100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.68000000000000270E-2 " "
y[1] (analytic) = 2.0006771964186987 " "
y[1] (numeric) = 2.0006771964186987 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.69000000000000300E-2 " "
y[1] (analytic) = 2.0006808822527473 " "
y[1] (numeric) = 2.0006808822527478 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219690375358725200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.70000000000000330E-2 " "
y[1] (analytic) = 2.0006845780936056 " "
y[1] (numeric) = 2.0006845780936056 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.710000000000003300E-2 " "
y[1] (analytic) = 2.000688283941309 " "
y[1] (numeric) = 2.000688283941309 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.72000000000000400E-2 " "
y[1] (analytic) = 2.000691999795895 " "
y[1] (numeric) = 2.000691999795895 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.73000000000000440E-2 " "
y[1] (analytic) = 2.0006957256574016 " "
y[1] (numeric) = 2.0006957256574016 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.740000000000004400E-2 " "
y[1] (analytic) = 2.000699461525865 " "
y[1] (numeric) = 2.000699461525865 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.75000000000000440E-2 " "
y[1] (analytic) = 2.0007032074013233 " "
y[1] (numeric) = 2.0007032074013233 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.76000000000000500E-2 " "
y[1] (analytic) = 2.0007069632838137 " "
y[1] (numeric) = 2.0007069632838137 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.77000000000000560E-2 " "
y[1] (analytic) = 2.000710729173374 " "
y[1] (numeric) = 2.000710729173374 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.780000000000005600E-2 " "
y[1] (analytic) = 2.0007145050700412 " "
y[1] (numeric) = 2.0007145050700412 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.79000000000000560E-2 " "
y[1] (analytic) = 2.0007182909738535 " "
y[1] (numeric) = 2.0007182909738535 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.80000000000000600E-2 " "
y[1] (analytic) = 2.0007220868848483 " "
y[1] (numeric) = 2.0007220868848488 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219644661100910700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.810000000000006700E-2 " "
y[1] (analytic) = 2.0007258928030645 " "
y[1] (numeric) = 2.000725892803065 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21964043874037680000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.82000000000000700E-2 " "
y[1] (analytic) = 2.0007297087285396 " "
y[1] (numeric) = 2.00072970872854 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219636205293720500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.83000000000000700E-2 " "
y[1] (analytic) = 2.000733534661312 " "
y[1] (numeric) = 2.0007335346613124 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21963196076102600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.84000000000000730E-2 " "
y[1] (analytic) = 2.0007373706014198 " "
y[1] (numeric) = 2.0007373706014198 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.850000000000008000E-2 " "
y[1] (analytic) = 2.0007412165489007 " "
y[1] (numeric) = 2.000741216548901 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21962343843786400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.86000000000000800E-2 " "
y[1] (analytic) = 2.0007450725037943 " "
y[1] (numeric) = 2.0007450725037947 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219619160647566500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.87000000000000800E-2 " "
y[1] (analytic) = 2.0007489384661383 " "
y[1] (numeric) = 2.0007489384661388 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21961487177157200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.880000000000008400E-2 " "
y[1] (analytic) = 2.000752814435972 " "
y[1] (numeric) = 2.0007528144359723 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21961057180996600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.89000000000000900E-2 " "
y[1] (analytic) = 2.0007567004133335 " "
y[1] (numeric) = 2.000756700413334 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219606260762834700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.90000000000000900E-2 " "
y[1] (analytic) = 2.000760596398262 " "
y[1] (numeric) = 2.000760596398263 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439203877260528600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.91000000000000900E-2 " "
y[1] (analytic) = 2.0007645023907967 " "
y[1] (numeric) = 2.0007645023907976 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439195210824681000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.920000000000009600E-2 " "
y[1] (analytic) = 2.000768418390977 " "
y[1] (numeric) = 2.0007684183909773 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219593261109150700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.9300000000000100E-2 " "
y[1] (analytic) = 2.0007723443988406 " "
y[1] (numeric) = 2.000772344398841 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219588905720782000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.9400000000000100E-2 " "
y[1] (analytic) = 2.000776280414428 " "
y[1] (numeric) = 2.0007762804144282 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21958453924732100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.950000000000010000E-2 " "
y[1] (analytic) = 2.000780226437778 " "
y[1] (numeric) = 2.0007802264377785 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219580161688854400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.96000000000001100E-2 " "
y[1] (analytic) = 2.0007841824689305 " "
y[1] (numeric) = 2.000784182468931 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219575773045470400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.97000000000001130E-2 " "
y[1] (analytic) = 2.000788148507925 " "
y[1] (numeric) = 2.000788148507925 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.98000000000001130E-2 " "
y[1] (analytic) = 2.000792124554801 " "
y[1] (numeric) = 2.000792124554801 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.990000000000011300E-2 " "
y[1] (analytic) = 2.0007961106095973 " "
y[1] (numeric) = 2.0007961106095977 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219562540606692000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.00000000000001200E-2 " "
y[1] (analytic) = 2.0008001066723557 " "
y[1] (numeric) = 2.0008001066723557 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.01000000000001240E-2 " "
y[1] (analytic) = 2.000804112743115 " "
y[1] (numeric) = 2.000804112743115 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.020000000000012500E-2 " "
y[1] (analytic) = 2.000808128821915 " "
y[1] (numeric) = 2.000808128821915 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.03000000000001250E-2 " "
y[1] (analytic) = 2.0008121549087967 " "
y[1] (numeric) = 2.0008121549087967 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.04000000000001300E-2 " "
y[1] (analytic) = 2.0008161910038 " "
y[1] (numeric) = 2.0008161910038 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.05000000000001360E-2 " "
y[1] (analytic) = 2.000820237106965 " "
y[1] (numeric) = 2.0008202371069648 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219535776448273200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.060000000000013600E-2 " "
y[1] (analytic) = 2.000824293218333 " "
y[1] (numeric) = 2.0008242932183324 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21953127696057500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.07000000000001360E-2 " "
y[1] (analytic) = 2.0008283593379432 " "
y[1] (numeric) = 2.000828359337943 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219526766388936500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.08000000000001400E-2 " "
y[1] (analytic) = 2.000832435465837 " "
y[1] (numeric) = 2.0008324354658367 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21952224473344800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.090000000000015000E-2 " "
y[1] (analytic) = 2.0008365216020554 " "
y[1] (numeric) = 2.000836521602055 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219517711994199400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.10000000000001500E-2 " "
y[1] (analytic) = 2.000840617746639 " "
y[1] (numeric) = 2.0008406177466385 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219513168171281500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.11000000000001500E-2 " "
y[1] (analytic) = 2.000844723899629 " "
y[1] (numeric) = 2.000844723899628 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43901722652956900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.12000000000001530E-2 " "
y[1] (analytic) = 2.000848840061066 " "
y[1] (numeric) = 2.000848840061065 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.439008094549601300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.130000000000016000E-2 " "
y[1] (analytic) = 2.0008529662309913 " "
y[1] (numeric) = 2.0008529662309904 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43899894040284100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.14000000000001600E-2 " "
y[1] (analytic) = 2.000857102409447 " "
y[1] (numeric) = 2.0008571024094457 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65848464613420500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.15000000000001600E-2 " "
y[1] (analytic) = 2.0008612485964727 " "
y[1] (numeric) = 2.000861248596472 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438980565609675400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.160000000000016500E-2 " "
y[1] (analytic) = 2.0008654047921115 " "
y[1] (numeric) = 2.0008654047921106 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438971344963637500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.17000000000001700E-2 " "
y[1] (analytic) = 2.000869570996404 " "
y[1] (numeric) = 2.0008695709964033 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438962102151542400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.18000000000001700E-2 " "
y[1] (analytic) = 2.0008737472093925 " "
y[1] (numeric) = 2.0008737472093916 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438952837173573700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.19000000000001700E-2 " "
y[1] (analytic) = 2.0008779334311186 " "
y[1] (numeric) = 2.0008779334311173 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65841532504487400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.200000000000017600E-2 " "
y[1] (analytic) = 2.000882129661624 " "
y[1] (numeric) = 2.0008821296616226 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65840136108113500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.21000000000001800E-2 " "
y[1] (analytic) = 2.0008863359009506 " "
y[1] (numeric) = 2.000886335900949 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65838736386942200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.22000000000001800E-2 " "
y[1] (analytic) = 2.0008905521491407 " "
y[1] (numeric) = 2.0008905521491394 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65837333341001500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.230000000000018000E-2 " "
y[1] (analytic) = 2.000894778406236 " "
y[1] (numeric) = 2.0008947784062348 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65835926970319300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.24000000000001900E-2 " "
y[1] (analytic) = 2.000899014672279 " "
y[1] (numeric) = 2.000899014672278 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438896781832827000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.25000000000001930E-2 " "
y[1] (analytic) = 2.0009032609473127 " "
y[1] (numeric) = 2.0009032609473114 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65833104254843200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.26000000000001930E-2 " "
y[1] (analytic) = 2.0009075172313784 " "
y[1] (numeric) = 2.0009075172313775 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438877919400705500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.270000000000019300E-2 " "
y[1] (analytic) = 2.00091178352452 " "
y[1] (numeric) = 2.000911783524519 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43886845493826450000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.2800000000000200E-2 " "
y[1] (analytic) = 2.000916059826779 " "
y[1] (numeric) = 2.000916059826778 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438858968311822400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.2900000000000205E-2 " "
y[1] (analytic) = 2.000920346138199 " "
y[1] (numeric) = 2.0009203461381975 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65827418928235200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.300000000000020500E-2 " "
y[1] (analytic) = 2.0009246424588216 " "
y[1] (numeric) = 2.0009246424588207 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43883992856769300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.31000000000002050E-2 " "
y[1] (analytic) = 2.000928948788691 " "
y[1] (numeric) = 2.0009289487886903 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43883037545038550000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.32000000000002100E-2 " "
y[1] (analytic) = 2.00093326512785 " "
y[1] (numeric) = 2.0009332651278493 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43882080016983870000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.33000000000002160E-2 " "
y[1] (analytic) = 2.000937591476342 " "
y[1] (numeric) = 2.000937591476341 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43881120272624200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.340000000000021600E-2 " "
y[1] (analytic) = 2.0009419278342095 " "
y[1] (numeric) = 2.0009419278342087 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438801583119789700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.35000000000002160E-2 " "
y[1] (analytic) = 2.0009462742014965 " "
y[1] (numeric) = 2.0009462742014956 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43879194135067100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.36000000000002200E-2 " "
y[1] (analytic) = 2.000950630578246 " "
y[1] (numeric) = 2.000950630578245 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43878227741908050000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.370000000000023000E-2 " "
y[1] (analytic) = 2.000954996964502 " "
y[1] (numeric) = 2.0009549969645013 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43877259132521100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.38000000000002300E-2 " "
y[1] (analytic) = 2.000959373360308 " "
y[1] (numeric) = 2.0009593733603075 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21938144153462800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.39000000000002300E-2 " "
y[1] (analytic) = 2.0009637597657077 " "
y[1] (numeric) = 2.0009637597657073 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219376576325704800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.40000000000002330E-2 " "
y[1] (analytic) = 2.000968156180745 " "
y[1] (numeric) = 2.0009681561807446 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219371700035932800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.410000000000024000E-2 " "
y[1] (analytic) = 2.0009725626054644 " "
y[1] (numeric) = 2.0009725626054635 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43873362533081900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.42000000000002400E-2 " "
y[1] (analytic) = 2.0009769790399083 " "
y[1] (numeric) = 2.000976979039908 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21936191421423400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.43000000000002400E-2 " "
y[1] (analytic) = 2.000981405484123 " "
y[1] (numeric) = 2.000981405484122 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43871400936500350000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.440000000000024500E-2 " "
y[1] (analytic) = 2.000985841938151 " "
y[1] (numeric) = 2.0009858419381508 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219352084070313200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.45000000000002500E-2 " "
y[1] (analytic) = 2.000990288402038 " "
y[1] (numeric) = 2.0009902884020376 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21934715237776500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.46000000000002500E-2 " "
y[1] (analytic) = 2.000994744875828 " "
y[1] (numeric) = 2.000994744875827 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43868441920991300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.47000000000002500E-2 " "
y[1] (analytic) = 2.000999211359565 " "
y[1] (numeric) = 2.0009992113595643 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438674511503972000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.480000000000025600E-2 " "
y[1] (analytic) = 2.001003687853294 " "
y[1] (numeric) = 2.0010036878532937 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219332290818953600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.49000000000002600E-2 " "
y[1] (analytic) = 2.0010081743570605 " "
y[1] (numeric) = 2.00100817435706 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219327314805957500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.50000000000002600E-2 " "
y[1] (analytic) = 2.0010126708709084 " "
y[1] (numeric) = 2.001012670870908 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21932232771309720000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.510000000000026000E-2 " "
y[1] (analytic) = 2.001017177394883 " "
y[1] (numeric) = 2.0010171773948824 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.21931732954047280000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.52000000000002700E-2 " "
y[1] (analytic) = 2.0010216939290295 " "
y[1] (numeric) = 2.0010216939290286 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43862464057636740000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.53000000000002730E-2 " "
y[1] (analytic) = 2.001026220473393 " "
y[1] (numeric) = 2.001026220473392 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438614599912660000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.540000000000027300E-2 " "
y[1] (analytic) = 2.001030757028018 " "
y[1] (numeric) = 2.0010307570280177 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219302268545013000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.550000000000027400E-2 " "
y[1] (analytic) = 2.0010353035929516 " "
y[1] (numeric) = 2.0010353035929507 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438594452108664500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.56000000000002800E-2 " "
y[1] (analytic) = 2.0010398601682375 " "
y[1] (numeric) = 2.001039860168237 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.219292172484389200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.57000000000002850E-2 " "
y[1] (analytic) = 2.0010444267539227 " "
y[1] (numeric) = 2.001044426753922 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43857421567056700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.580000000000028500E-2 " "
y[1] (analytic) = 2.001049003350052 " "
y[1] (numeric) = 2.001049003350051 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43856406421423600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.59000000000002850E-2 " "
y[1] (analytic) = 2.001053589956671 " "
y[1] (numeric) = 2.00105358995667 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43855389059998660000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.60000000000002900E-2 " "
y[1] (analytic) = 2.001058186573826 " "
y[1] (numeric) = 2.001058186573825 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65781554224203400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.610000000000029600E-2 " "
y[1] (analytic) = 2.0010627932015628 " "
y[1] (numeric) = 2.001062793201562 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43853347689854800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.620000000000029600E-2 " "
y[1] (analytic) = 2.0010674098399277 " "
y[1] (numeric) = 2.001067409839927 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43852323681176550000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.6300000000000296E-2 " "
y[1] (analytic) = 2.0010720364889667 " "
y[1] (numeric) = 2.001072036488966 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43851297456788200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.6400000000000300E-2 " "
y[1] (analytic) = 2.001076673148726 " "
y[1] (numeric) = 2.001076673148725 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438502690167100400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.650000000000031000E-2 " "
y[1] (analytic) = 2.001081319819252 " "
y[1] (numeric) = 2.001081319819251 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43849238360962800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.66000000000003100E-2 " "
y[1] (analytic) = 2.0010859765005913 " "
y[1] (numeric) = 2.0010859765005904 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.4384820548956700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.67000000000003100E-2 " "
y[1] (analytic) = 2.00109064319279 " "
y[1] (numeric) = 2.0010906431927893 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43847170402543300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.680000000000031400E-2 " "
y[1] (analytic) = 2.001095319895896 " "
y[1] (numeric) = 2.001095319895895 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43846133099912200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.690000000000032000E-2 " "
y[1] (analytic) = 2.0011000066099545 " "
y[1] (numeric) = 2.0011000066099536 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438450935816947700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.70000000000003200E-2 " "
y[1] (analytic) = 2.001104703335013 " "
y[1] (numeric) = 2.0011047033350122 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43844051847911600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.71000000000003200E-2 " "
y[1] (analytic) = 2.0011094100711193 " "
y[1] (numeric) = 2.001109410071118 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65764511847874900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.720000000000032500E-2 " "
y[1] (analytic) = 2.0011141268183192 " "
y[1] (numeric) = 2.001114126818318 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65762942600596700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.73000000000003300E-2 " "
y[1] (analytic) = 2.0011188535766604 " "
y[1] (numeric) = 2.001118853576659 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65761370030063600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.74000000000003300E-2 " "
y[1] (analytic) = 2.0011235903461904 " "
y[1] (numeric) = 2.001123590346189 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65759794136307300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.750000000000033000E-2 " "
y[1] (analytic) = 2.0011283371269557 " "
y[1] (numeric) = 2.001128337126955 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438388099462395300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.760000000000033600E-2 " "
y[1] (analytic) = 2.001133093919005 " "
y[1] (numeric) = 2.001133093919004 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43837754919500600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.77000000000003400E-2 " "
y[1] (analytic) = 2.001137860722385 " "
y[1] (numeric) = 2.001137860722384 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43836697677342630000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.78000000000003400E-2 " "
y[1] (analytic) = 2.0011426375371437 " "
y[1] (numeric) = 2.0011426375371424 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65753457329679900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.790000000000034000E-2 " "
y[1] (analytic) = 2.0011474243633285 " "
y[1] (numeric) = 2.0011474243633276 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43834576546853900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.80000000000003500E-2 " "
y[1] (analytic) = 2.0011522212009876 " "
y[1] (numeric) = 2.0011522212009867 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43833512658565630000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.81000000000003540E-2 " "
y[1] (analytic) = 2.0011570280501694 " "
y[1] (numeric) = 2.001157028050168 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65748669832414400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.820000000000035400E-2 " "
y[1] (analytic) = 2.0011618449109205 " "
y[1] (numeric) = 2.0011618449109196 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.43831378236007430000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.83000000000003540E-2 " "
y[1] (analytic) = 2.0011666717832908 " "
y[1] (numeric) = 2.00116667178329 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438303077017801700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.84000000000003600E-2 " "
y[1] (analytic) = 2.001171508667328 " "
y[1] (numeric) = 2.0011715086673267 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65743852428423700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.85000000000003650E-2 " "
y[1] (analytic) = 2.00117635556308 " "
y[1] (numeric) = 2.0011763555630786 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65742239981304200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.860000000000036500E-2 " "
y[1] (analytic) = 2.0011812124705957 " "
y[1] (numeric) = 2.0011812124705943 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65740624211343700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.87000000000003650E-2 " "
y[1] (analytic) = 2.0011860793899237 " "
y[1] (numeric) = 2.001186079389922 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87652006824765600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.88000000000003700E-2 " "
y[1] (analytic) = 2.001190956321112 " "
y[1] (numeric) = 2.0011909563211105 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65737382703028600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.890000000000037600E-2 " "
y[1] (analytic) = 2.00119584326421 " "
y[1] (numeric) = 2.0011958432642087 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65735756964738900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.90000000000003770E-2 " "
y[1] (analytic) = 2.001200740219266 " "
y[1] (numeric) = 2.0012007402192653 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.438227519358252700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.91000000000003770E-2 " "
y[1] (analytic) = 2.0012056471863304 " "
y[1] (numeric) = 2.001205647186329 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65732495520057600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.92000000000003800E-2 " "
y[1] (analytic) = 2.0012105641654507 " "
y[1] (numeric) = 2.0012105641654494 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65730859813731300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.930000000000039000E-2 " "
y[1] (analytic) = 2.0012154911566773 " "
y[1] (numeric) = 2.0012154911566755 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87638961046388200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.94000000000003900E-2 " "
y[1] (analytic) = 2.001220428160058 " "
y[1] (numeric) = 2.0012204281600567 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65727578433270400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.95000000000003900E-2 " "
y[1] (analytic) = 2.0012253751756433 " "
y[1] (numeric) = 2.001225375175642 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65725932759201300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.960000000000039400E-2 " "
y[1] (analytic) = 2.001230332203482 " "
y[1] (numeric) = 2.001230332203481 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65724283762617300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9700000000000400E-2 " "
y[1] (analytic) = 2.001235299243625 " "
y[1] (numeric) = 2.001235299243623 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87630175258067800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9800000000000400E-2 " "
y[1] (analytic) = 2.0012402762961203 " "
y[1] (numeric) = 2.0012402762961186 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8762796773604690000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9900000000000400E-2 " "
y[1] (analytic) = 2.0012452633610183 " "
y[1] (numeric) = 2.0012452633610165 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87625755784138200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.000000000000040000E-2 " "
y[1] (analytic) = 2.0012502604383693 " "
y[1] (numeric) = 2.001250260438367 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10952942425298140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.01000000000004100E-2 " "
y[1] (analytic) = 2.0012552675282222 " "
y[1] (numeric) = 2.0012552675282205 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87621318590832800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.02000000000004100E-2 " "
y[1] (analytic) = 2.0012602846306287 " "
y[1] (numeric) = 2.0012602846306264 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10952386668690590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.030000000000041000E-2 " "
y[1] (analytic) = 2.0012653117456374 " "
y[1] (numeric) = 2.0012653117456356 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87616863678506100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.04000000000004200E-2 " "
y[1] (analytic) = 2.0012703488732995 " "
y[1] (numeric) = 2.0012703488732977 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87614629577821100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.05000000000004200E-2 " "
y[1] (analytic) = 2.001275396013665 " "
y[1] (numeric) = 2.0012753960136633 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87612391047514400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.06000000000004200E-2 " "
y[1] (analytic) = 2.0012804531667845 " "
y[1] (numeric) = 2.0012804531667827 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87610148087630800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.070000000000042000E-2 " "
y[1] (analytic) = 2.0012855203327087 " "
y[1] (numeric) = 2.001285520332707 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8760790069821500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.08000000000004200E-2 " "
y[1] (analytic) = 2.0012905975114883 " "
y[1] (numeric) = 2.001290597511486 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10950706109913990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.09000000000004300E-2 " "
y[1] (analytic) = 2.001295684703173 " "
y[1] (numeric) = 2.0012956847031713 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8760339263096700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.100000000000043000E-2 " "
y[1] (analytic) = 2.0013007819078155 " "
y[1] (numeric) = 2.0013007819078132 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10950141494153080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.11000000000004300E-2 " "
y[1] (analytic) = 2.001305889125465 " "
y[1] (numeric) = 2.0013058891254634 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87598866846130500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.12000000000004500E-2 " "
y[1] (analytic) = 2.0013110063561745 " "
y[1] (numeric) = 2.0013110063561723 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10949574663716160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.13000000000004500E-2 " "
y[1] (analytic) = 2.0013161335999934 " "
y[1] (numeric) = 2.001316133599991 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10949290418008370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.140000000000045000E-2 " "
y[1] (analytic) = 2.001321270856973 " "
y[1] (numeric) = 2.0013212708569714 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8759204494918900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.15000000000004500E-2 " "
y[1] (analytic) = 2.0013264181271664 " "
y[1] (numeric) = 2.0013264181271646 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87589762125140200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.16000000000004500E-2 " "
y[1] (analytic) = 2.0013315754106236 " "
y[1] (numeric) = 2.001331575410622 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87587474871966800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.170000000000046000E-2 " "
y[1] (analytic) = 2.0013367427073963 " "
y[1] (numeric) = 2.001336742707395 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65688887392285800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.18000000000004600E-2 " "
y[1] (analytic) = 2.001341920017537 " "
y[1] (numeric) = 2.001341920017535 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87582887078428500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.19000000000004600E-2 " "
y[1] (analytic) = 2.0013471073410964 " "
y[1] (numeric) = 2.0013471073410947 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87580586538155200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.20000000000004700E-2 " "
y[1] (analytic) = 2.001352304678127 " "
y[1] (numeric) = 2.001352304678125 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87578281568940400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.210000000000047000E-2 " "
y[1] (analytic) = 2.001357512028681 " "
y[1] (numeric) = 2.001357512028679 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87575972170830300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.22000000000004700E-2 " "
y[1] (analytic) = 2.0013627293928096 " "
y[1] (numeric) = 2.001362729392808 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87573658343870800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.23000000000004700E-2 " "
y[1] (analytic) = 2.001367956770566 " "
y[1] (numeric) = 2.001367956770564 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10946417511013530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.240000000000047000E-2 " "
y[1] (analytic) = 2.0013731941620017 " "
y[1] (numeric) = 2.0013731941619994 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10946127175448650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.25000000000004800E-2 " "
y[1] (analytic) = 2.0013784415671694 " "
y[1] (numeric) = 2.001378441567167 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10945836286294950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.26000000000004800E-2 " "
y[1] (analytic) = 2.001383698986121 " "
y[1] (numeric) = 2.0013836989861193 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87564358748466500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.27000000000004800E-2 " "
y[1] (analytic) = 2.0013889664189106 " "
y[1] (numeric) = 2.0013889664189084 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10945252847244460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.280000000000049000E-2 " "
y[1] (analytic) = 2.0013942438655894 " "
y[1] (numeric) = 2.001394243865587 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10944960297359340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.29000000000004900E-2 " "
y[1] (analytic) = 2.0013995313262107 " "
y[1] (numeric) = 2.0013995313262085 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1094466719390870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.30000000000004900E-2 " "
y[1] (analytic) = 2.001404828800827 " "
y[1] (numeric) = 2.0014048288008253 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87554988295187800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.310000000000049000E-2 " "
y[1] (analytic) = 2.0014101362894916 " "
y[1] (numeric) = 2.0014101362894903 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65664475958007000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.3200000000000490E-2 " "
y[1] (analytic) = 2.001415453792258 " "
y[1] (numeric) = 2.0014154537922564 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8755027649778100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.3300000000000500E-2 " "
y[1] (analytic) = 2.0014207813091787 " "
y[1] (numeric) = 2.0014207813091773 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65660935467412700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.3400000000000500E-2 " "
y[1] (analytic) = 2.0014261188403077 " "
y[1] (numeric) = 2.001426118840306 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87545546987030600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.350000000000050000E-2 " "
y[1] (analytic) = 2.0014314663856974 " "
y[1] (numeric) = 2.0014314663856956 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87543175589269800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.36000000000005100E-2 " "
y[1] (analytic) = 2.0014368239454017 " "
y[1] (numeric) = 2.0014368239454 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87540799763314800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.37000000000005100E-2 " "
y[1] (analytic) = 2.0014421915194744 " "
y[1] (numeric) = 2.0014421915194727 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87538419509213300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.380000000000051000E-2 " "
y[1] (analytic) = 2.001447569107969 " "
y[1] (numeric) = 2.001447569107967 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87536034827012700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.39000000000005100E-2 " "
y[1] (analytic) = 2.0014529567109394 " "
y[1] (numeric) = 2.0014529567109376 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87533645716760900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.40000000000005100E-2 " "
y[1] (analytic) = 2.001458354328439 " "
y[1] (numeric) = 2.0014583543284377 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65648439133879200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.41000000000005300E-2 " "
y[1] (analytic) = 2.0014637619605224 " "
y[1] (numeric) = 2.001463761960521 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65646640659220600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.420000000000053000E-2 " "
y[1] (analytic) = 2.001469179607244 " "
y[1] (numeric) = 2.001469179607242 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87526451818174800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.43000000000005300E-2 " "
y[1] (analytic) = 2.0014746072686567 " "
y[1] (numeric) = 2.001474607268655 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87524044996195700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.44000000000005400E-2 " "
y[1] (analytic) = 2.001480044944816 " "
y[1] (numeric) = 2.001480044944814 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87521633746404800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.450000000000054000E-2 " "
y[1] (analytic) = 2.001485492635775 " "
y[1] (numeric) = 2.0014854926357732 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87519218068850100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.46000000000005400E-2 " "
y[1] (analytic) = 2.0014909503415894 " "
y[1] (numeric) = 2.0014909503415876 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87516797963580200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.47000000000005400E-2 " "
y[1] (analytic) = 2.001496418062313 " "
y[1] (numeric) = 2.0014964180623114 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87514373430643100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.48000000000005400E-2 " "
y[1] (analytic) = 2.0015018957980013 " "
y[1] (numeric) = 2.0015018957979995 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87511944470087400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.490000000000055000E-2 " "
y[1] (analytic) = 2.0015073835487085 " "
y[1] (numeric) = 2.0015073835487067 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87509511081961600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.50000000000005500E-2 " "
y[1] (analytic) = 2.001512881314489 " "
y[1] (numeric) = 2.0015128813144876 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6563030494973600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.51000000000005500E-2 " "
y[1] (analytic) = 2.0015183890953985 " "
y[1] (numeric) = 2.001518389095397 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65628473267395900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.520000000000056000E-2 " "
y[1] (analytic) = 2.0015239068914923 " "
y[1] (numeric) = 2.0015239068914905 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87502184352650500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.53000000000005600E-2 " "
y[1] (analytic) = 2.001529434702825 " "
y[1] (numeric) = 2.001529434702823 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87499733254731400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.54000000000005600E-2 " "
y[1] (analytic) = 2.001534972529452 " "
y[1] (numeric) = 2.0015349725294502 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87497277729486200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.55000000000005600E-2 " "
y[1] (analytic) = 2.001540520371429 " "
y[1] (numeric) = 2.001540520371427 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87494817776963800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.560000000000056000E-2 " "
y[1] (analytic) = 2.001546078228811 " "
y[1] (numeric) = 2.001546078228809 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87492353397213600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.57000000000005700E-2 " "
y[1] (analytic) = 2.0015516461016536 " "
y[1] (numeric) = 2.001551646101652 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87489884590284400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.58000000000005700E-2 " "
y[1] (analytic) = 2.001557223990013 " "
y[1] (numeric) = 2.001557223990011 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87487411356226100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.590000000000057000E-2 " "
y[1] (analytic) = 2.001562811893944 " "
y[1] (numeric) = 2.0015628118939426 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65613700271316000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.60000000000005800E-2 " "
y[1] (analytic) = 2.001568409813504 " "
y[1] (numeric) = 2.001568409813502 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87482451606918900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.61000000000005800E-2 " "
y[1] (analytic) = 2.0015740177487475 " "
y[1] (numeric) = 2.0015740177487458 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8747996509176910000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.62000000000005800E-2 " "
y[1] (analytic) = 2.0015796356997315 " "
y[1] (numeric) = 2.0015796356997297 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8747747414968800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.630000000000058000E-2 " "
y[1] (analytic) = 2.0015852636665117 " "
y[1] (numeric) = 2.00158526366651 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87474978780725600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.64000000000005800E-2 " "
y[1] (analytic) = 2.0015909016491444 " "
y[1] (numeric) = 2.0015909016491427 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87472478984931500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.65000000000005900E-2 " "
y[1] (analytic) = 2.0015965496476866 " "
y[1] (numeric) = 2.0015965496476844 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10933746845294450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.660000000000059000E-2 " "
y[1] (analytic) = 2.001602207662194 " "
y[1] (numeric) = 2.001602207662192 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10933433264131000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.6700000000000590E-2 " "
y[1] (analytic) = 2.0016078756927236 " "
y[1] (numeric) = 2.0016078756927214 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10933119129632370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.6800000000000610E-2 " "
y[1] (analytic) = 2.0016135537393316 " "
y[1] (numeric) = 2.00161355373933 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87462435534438700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.6900000000000610E-2 " "
y[1] (analytic) = 2.0016192418020755 " "
y[1] (numeric) = 2.0016192418020737 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87459913605237300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.700000000000061000E-2 " "
y[1] (analytic) = 2.0016249398810118 " "
y[1] (numeric) = 2.00162493988101 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87457387249505100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.71000000000006100E-2 " "
y[1] (analytic) = 2.0016306479761976 " "
y[1] (numeric) = 2.001630647976196 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87454856467292700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.72000000000006100E-2 " "
y[1] (analytic) = 2.0016363660876895 " "
y[1] (numeric) = 2.001636366087688 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65589240943988100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.730000000000062000E-2 " "
y[1] (analytic) = 2.001642094215545 " "
y[1] (numeric) = 2.0016420942155437 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65587336217722300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.74000000000006200E-2 " "
y[1] (analytic) = 2.001647832359822 " "
y[1] (numeric) = 2.0016478323598204 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87447237562280300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.75000000000006200E-2 " "
y[1] (analytic) = 2.0016535805205775 " "
y[1] (numeric) = 2.0016535805205753 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10930586134331650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.76000000000006300E-2 " "
y[1] (analytic) = 2.001659338697868 " "
y[1] (numeric) = 2.0016593386978663 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87442136160800100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.770000000000063000E-2 " "
y[1] (analytic) = 2.0016651068917524 " "
y[1] (numeric) = 2.0016651068917506 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87439578820771100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.78000000000006300E-2 " "
y[1] (analytic) = 2.0016708851022877 " "
y[1] (numeric) = 2.001670885102286 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87437017054617600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.79000000000006300E-2 " "
y[1] (analytic) = 2.0016766733295324 " "
y[1] (numeric) = 2.00167667332953 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10929306357798840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.800000000000063000E-2 " "
y[1] (analytic) = 2.001682471573543 " "
y[1] (numeric) = 2.0016824715735413 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87431880244141900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.81000000000006400E-2 " "
y[1] (analytic) = 2.0016882798343785 " "
y[1] (numeric) = 2.001688279834377 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65571978899941900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.82000000000006400E-2 " "
y[1] (analytic) = 2.001694098112097 " "
y[1] (numeric) = 2.001694098112096 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.65570044297337700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.83000000000006400E-2 " "
y[1] (analytic) = 2.001699926406757 " "
y[1] (numeric) = 2.001699926406755 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87424141833776700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.840000000000065000E-2 " "
y[1] (analytic) = 2.0017057647184155 " "
y[1] (numeric) = 2.0017057647184138 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87421553511954200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.85000000000006500E-2 " "
y[1] (analytic) = 2.001711613047132 " "
y[1] (numeric) = 2.00171161304713 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87418960764366900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.86000000000006500E-2 " "
y[1] (analytic) = 2.001717471392965 " "
y[1] (numeric) = 2.0017174713929626 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10927045448883380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.870000000000065000E-2 " "
y[1] (analytic) = 2.001723339755972 " "
y[1] (numeric) = 2.0017233397559697 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10926720249013300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.88000000000006500E-2 " "
y[1] (analytic) = 2.0017292181362123 " "
y[1] (numeric) = 2.0017292181362105 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.87411155967537200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.89000000000006600E-2 " "
y[1] (analytic) = 2.0017351065337454 " "
y[1] (numeric) = 2.001735106533743 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10926068189676360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.90000000000006600E-2 " "
y[1] (analytic) = 2.0017410049486295 " "
y[1] (numeric) = 2.0017410049486273 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10925741330222500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.910000000000066000E-2 " "
y[1] (analytic) = 2.0017469133809236 " "
y[1] (numeric) = 2.0017469133809214 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10925413917587090000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.92000000000006700E-2 " "
y[1] (analytic) = 2.0017528318306868 " "
y[1] (numeric) = 2.0017528318306845 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10925085951776680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.93000000000006700E-2 " "
y[1] (analytic) = 2.001758760297978 " "
y[1] (numeric) = 2.001758760297976 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10924757432797820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.940000000000067000E-2 " "
y[1] (analytic) = 2.001764698782857 " "
y[1] (numeric) = 2.001764698782855 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10924428360657080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.95000000000006700E-2 " "
y[1] (analytic) = 2.001770647285383 " "
y[1] (numeric) = 2.001770647285381 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10924098735360980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.96000000000006700E-2 " "
y[1] (analytic) = 2.001776605805616 " "
y[1] (numeric) = 2.0017766058056137 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10923768556916140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.97000000000006900E-2 " "
y[1] (analytic) = 2.001782574343615 " "
y[1] (numeric) = 2.001782574343612 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.331081253903950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.980000000000069000E-2 " "
y[1] (analytic) = 2.001788552899439 " "
y[1] (numeric) = 2.0017885528994364 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.331077278487279900000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.99000000000006900E-2 " "
y[1] (analytic) = 2.001794541473149 " "
y[1] (numeric) = 2.001794541473146 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33107329643306270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.00000000000007000E-2 " "
y[1] (analytic) = 2.0018005400648042 " "
y[1] (numeric) = 2.0018005400648016 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33106930774137820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.010000000000070000E-2 " "
y[1] (analytic) = 2.001806548674465 " "
y[1] (numeric) = 2.0018065486744625 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33106531241230540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0200000000000700E-2 " "
y[1] (analytic) = 2.001812567302191 " "
y[1] (numeric) = 2.001812567302189 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10921775870493730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0300000000000700E-2 " "
y[1] (analytic) = 2.001818595948043 " "
y[1] (numeric) = 2.001818595948041 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.109214418201930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0400000000000700E-2 " "
y[1] (analytic) = 2.001824634612081 " "
y[1] (numeric) = 2.0018246346120785 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3310532866015590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.050000000000071000E-2 " "
y[1] (analytic) = 2.001830683294365 " "
y[1] (numeric) = 2.001830683294363 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10920772060311220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.06000000000007100E-2 " "
y[1] (analytic) = 2.0018367419949565 " "
y[1] (numeric) = 2.001836741994954 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3310452362089220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.07000000000007100E-2 " "
y[1] (analytic) = 2.001842810713915 " "
y[1] (numeric) = 2.0018428107139123 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33104120105720260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.080000000000072000E-2 " "
y[1] (analytic) = 2.001848889451302 " "
y[1] (numeric) = 2.001848889451299 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33103715926865650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.09000000000007200E-2 " "
y[1] (analytic) = 2.0018549782071773 " "
y[1] (numeric) = 2.0018549782071746 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3310331108433650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.10000000000007200E-2 " "
y[1] (analytic) = 2.0018610769816023 " "
y[1] (numeric) = 2.0018610769816 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10919087981784040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.11000000000007200E-2 " "
y[1] (analytic) = 2.0018671857746386 " "
y[1] (numeric) = 2.0018671857746364 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10918749506905650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.120000000000072000E-2 " "
y[1] (analytic) = 2.0018733045863466 " "
y[1] (numeric) = 2.0018733045863444 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10918410478985370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.13000000000007300E-2 " "
y[1] (analytic) = 2.0018794334167875 " "
y[1] (numeric) = 2.0018794334167853 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10918070898029960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.14000000000007300E-2 " "
y[1] (analytic) = 2.001885572266023 " "
y[1] (numeric) = 2.0018855722660205 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33101276916855440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.150000000000073000E-2 " "
y[1] (analytic) = 2.0018917211341143 " "
y[1] (numeric) = 2.0018917211341116 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33100868092449100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.16000000000007400E-2 " "
y[1] (analytic) = 2.0018978800211222 " "
y[1] (numeric) = 2.00189788002112 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10917048837020850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.17000000000007400E-2 " "
y[1] (analytic) = 2.0019040489271096 " "
y[1] (numeric) = 2.001904048927107 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3310004845279140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.18000000000007400E-2 " "
y[1] (analytic) = 2.0019102278521372 " "
y[1] (numeric) = 2.0019102278521346 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33099637637556470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.190000000000074000E-2 " "
y[1] (analytic) = 2.0019164167962673 " "
y[1] (numeric) = 2.0019164167962646 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3309922615872838000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.20000000000007400E-2 " "
y[1] (analytic) = 2.001922615759561 " "
y[1] (numeric) = 2.001922615759559 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10915678346929540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.21000000000007500E-2 " "
y[1] (analytic) = 2.0019288247420817 " "
y[1] (numeric) = 2.001928824742079 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33098401210325800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.220000000000075000E-2 " "
y[1] (analytic) = 2.00193504374389 " "
y[1] (numeric) = 2.0019350437438876 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1091498978397310000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.23000000000007500E-2 " "
y[1] (analytic) = 2.001941272765049 " "
y[1] (numeric) = 2.0019412727650465 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33097573607649460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.24000000000007700E-2 " "
y[1] (analytic) = 2.001947511805621 " "
y[1] (numeric) = 2.0019475118056183 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33097158810979280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.25000000000007700E-2 " "
y[1] (analytic) = 2.0019537608656677 " "
y[1] (numeric) = 2.001953760865665 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33096743350765520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.26000000000007700E-2 " "
y[1] (analytic) = 2.001960019945252 " "
y[1] (numeric) = 2.0019600199452494 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33096327227016420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.27000000000007700E-2 " "
y[1] (analytic) = 2.0019662890444367 " "
y[1] (numeric) = 2.001966289044434 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33095910439740280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.28000000000007700E-2 " "
y[1] (analytic) = 2.0019725681632843 " "
y[1] (numeric) = 2.0019725681632816 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33095492988945500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.29000000000007800E-2 " "
y[1] (analytic) = 2.0019788573018573 " "
y[1] (numeric) = 2.0019788573018547 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33095074874640340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.30000000000007800E-2 " "
y[1] (analytic) = 2.0019851564602194 " "
y[1] (numeric) = 2.0019851564602167 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33094656096833130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.31000000000007800E-2 " "
y[1] (analytic) = 2.001991465638433 " "
y[1] (numeric) = 2.00199146563843 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55276609431454350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.32000000000007900E-2 " "
y[1] (analytic) = 2.001997784836561 " "
y[1] (numeric) = 2.0019977848365578 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55276119309203930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.33000000000007900E-2 " "
y[1] (analytic) = 2.0020041140546665 " "
y[1] (numeric) = 2.002004114054664 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3309339578248330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.34000000000007900E-2 " "
y[1] (analytic) = 2.002010453292814 " "
y[1] (numeric) = 2.0020104532928107 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55275136742543840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.35000000000007900E-2 " "
y[1] (analytic) = 2.0020168025510654 " "
y[1] (numeric) = 2.0020168025510623 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55274644298153770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3600000000000790E-2 " "
y[1] (analytic) = 2.0020231618294853 " "
y[1] (numeric) = 2.002023161829482 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5527415107973680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3700000000000800E-2 " "
y[1] (analytic) = 2.0020295311281364 " "
y[1] (numeric) = 2.0020295311281333 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5527365708730279000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3800000000000800E-2 " "
y[1] (analytic) = 2.0020359104470833 " "
y[1] (numeric) = 2.0020359104470797 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77455042652413210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3900000000000800E-2 " "
y[1] (analytic) = 2.002042299786389 " "
y[1] (numeric) = 2.0020422997863854 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7745447632048350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.4000000000000810E-2 " "
y[1] (analytic) = 2.0020486991461173 " "
y[1] (numeric) = 2.002048699146114 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55272170465997170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.41000000000008100E-2 " "
y[1] (analytic) = 2.002055108526333 " "
y[1] (numeric) = 2.00205510852633 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55271673377593760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.42000000000008100E-2 " "
y[1] (analytic) = 2.0020615279270997 " "
y[1] (numeric) = 2.002061527927097 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3308957901304810000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.43000000000008100E-2 " "
y[1] (analytic) = 2.002067957348482 " "
y[1] (numeric) = 2.002067957348479 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55270676878894180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.44000000000008100E-2 " "
y[1] (analytic) = 2.002074396790544 " "
y[1] (numeric) = 2.0020743967905408 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55270177468617880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.45000000000008200E-2 " "
y[1] (analytic) = 2.0020808462533495 " "
y[1] (numeric) = 2.0020808462533464 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5526967728440390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.46000000000008200E-2 " "
y[1] (analytic) = 2.0020873057369633 " "
y[1] (numeric) = 2.0020873057369606 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33087865422510470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.47000000000008200E-2 " "
y[1] (analytic) = 2.002093775241451 " "
y[1] (numeric) = 2.002093775241448 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5526867459420280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.48000000000008300E-2 " "
y[1] (analytic) = 2.0021002547668756 " "
y[1] (numeric) = 2.002100254766873 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3308700464705922000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.49000000000008300E-2 " "
y[1] (analytic) = 2.002106744313303 " "
y[1] (numeric) = 2.0021067443133003 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.330865732643180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.50000000000008300E-2 " "
y[1] (analytic) = 2.002113243880798 " "
y[1] (numeric) = 2.002113243880795 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33086141218244550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.51000000000008300E-2 " "
y[1] (analytic) = 2.0021197534694255 " "
y[1] (numeric) = 2.0021197534694224 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55266659926988740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.52000000000008400E-2 " "
y[1] (analytic) = 2.0021262730792504 " "
y[1] (numeric) = 2.0021262730792473 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5526615432549140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.53000000000008500E-2 " "
y[1] (analytic) = 2.002132802710338 " "
y[1] (numeric) = 2.002132802710335 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55265647950136670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.54000000000008500E-2 " "
y[1] (analytic) = 2.002139342362754 " "
y[1] (numeric) = 2.0021393423627507 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55265140800934730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.55000000000008500E-2 " "
y[1] (analytic) = 2.002145892036563 " "
y[1] (numeric) = 2.00214589203656 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55264632877895660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.56000000000008600E-2 " "
y[1] (analytic) = 2.002152451731831 " "
y[1] (numeric) = 2.002152451731828 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55264124181029560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.57000000000008600E-2 " "
y[1] (analytic) = 2.002159021448624 " "
y[1] (numeric) = 2.002159021448621 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55263614710346660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.58000000000008600E-2 " "
y[1] (analytic) = 2.0021656011870066 " "
y[1] (numeric) = 2.002165601187004 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33082660970734680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.59000000000008600E-2 " "
y[1] (analytic) = 2.0021721909470456 " "
y[1] (numeric) = 2.002172190947043 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33082222955060950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.60000000000008600E-2 " "
y[1] (analytic) = 2.0021787907288062 " "
y[1] (numeric) = 2.0021787907288036 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33081784276141870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.61000000000008700E-2 " "
y[1] (analytic) = 2.0021854005323547 " "
y[1] (numeric) = 2.002185400532352 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33081344933986180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.62000000000008700E-2 " "
y[1] (analytic) = 2.0021920203577572 " "
y[1] (numeric) = 2.0021920203577546 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33080904928602670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.63000000000008700E-2 " "
y[1] (analytic) = 2.0021986502050804 " "
y[1] (numeric) = 2.0021986502050773 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55260541636666750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.64000000000008800E-2 " "
y[1] (analytic) = 2.00220529007439 " "
y[1] (numeric) = 2.0022052900743867 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55260026749551780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.65000000000008800E-2 " "
y[1] (analytic) = 2.0022119399657523 " "
y[1] (numeric) = 2.002211939965749 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55259511088701780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.66000000000008800E-2 " "
y[1] (analytic) = 2.002218599879234 " "
y[1] (numeric) = 2.002218599879231 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5525899465412710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.67000000000008800E-2 " "
y[1] (analytic) = 2.0022252698149017 " "
y[1] (numeric) = 2.0022252698148986 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.552584774458380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.68000000000008800E-2 " "
y[1] (analytic) = 2.0022319497728223 " "
y[1] (numeric) = 2.002231949772819 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55257959463844820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.69000000000008900E-2 " "
y[1] (analytic) = 2.0022386397530623 " "
y[1] (numeric) = 2.002238639753059 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55257440708157920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.70000000000008900E-2 " "
y[1] (analytic) = 2.0022453397556887 " "
y[1] (numeric) = 2.0022453397556856 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55256921178787640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7100000000000890E-2 " "
y[1] (analytic) = 2.0022520497807683 " "
y[1] (numeric) = 2.002252049780765 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55256400875744350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7200000000000900E-2 " "
y[1] (analytic) = 2.0022587698283685 " "
y[1] (numeric) = 2.0022587698283654 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55255879799038500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7300000000000900E-2 " "
y[1] (analytic) = 2.0022654998985567 " "
y[1] (numeric) = 2.002265499898553 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77434694798491830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7400000000000900E-2 " "
y[1] (analytic) = 2.0022722399913997 " "
y[1] (numeric) = 2.002272239991396 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77434097513920530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7500000000000900E-2 " "
y[1] (analytic) = 2.002278990106965 " "
y[1] (numeric) = 2.0022789901069618 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55254311927049220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.76000000000009000E-2 " "
y[1] (analytic) = 2.00228575024532 " "
y[1] (numeric) = 2.002285750245317 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55253787755797070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.77000000000009200E-2 " "
y[1] (analytic) = 2.0022925204065327 " "
y[1] (numeric) = 2.00229252040653 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33074225266515270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.78000000000009200E-2 " "
y[1] (analytic) = 2.0022993005906713 " "
y[1] (numeric) = 2.002299300590668 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5525273709247190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.79000000000009200E-2 " "
y[1] (analytic) = 2.002306090797802 " "
y[1] (numeric) = 2.0023060907977994 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33073323371788480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.80000000000009300E-2 " "
y[1] (analytic) = 2.002312891027994 " "
y[1] (numeric) = 2.0023128910279913 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33072871429819080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.81000000000009300E-2 " "
y[1] (analytic) = 2.0023197012813148 " "
y[1] (numeric) = 2.002319701281312 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33072418824791000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.82000000000009300E-2 " "
y[1] (analytic) = 2.0023265215578325 " "
y[1] (numeric) = 2.00232652155783 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33071965556713360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.83000000000009300E-2 " "
y[1] (analytic) = 2.002333351857616 " "
y[1] (numeric) = 2.002333351857613 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55250096896527630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.84000000000009300E-2 " "
y[1] (analytic) = 2.002340192180733 " "
y[1] (numeric) = 2.00234019218073 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55249566536686230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.85000000000009400E-2 " "
y[1] (analytic) = 2.0023470425272514 " "
y[1] (numeric) = 2.0023470425272483 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55249035403318750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.86000000000009400E-2 " "
y[1] (analytic) = 2.00235390289724 " "
y[1] (numeric) = 2.0023539028972372 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33070145854087750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.87000000000009400E-2 " "
y[1] (analytic) = 2.0023607732907682 " "
y[1] (numeric) = 2.002360773290765 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55247970816047660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.88000000000009500E-2 " "
y[1] (analytic) = 2.0023676537079043 " "
y[1] (numeric) = 2.0023676537079007 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77425642699617530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.89000000000009500E-2 " "
y[1] (analytic) = 2.0023745441487164 " "
y[1] (numeric) = 2.002374544148713 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77425032154056420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.90000000000009500E-2 " "
y[1] (analytic) = 2.002381444613274 " "
y[1] (numeric) = 2.002381444613271 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55246368133960450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.91000000000009500E-2 " "
y[1] (analytic) = 2.0023883551016466 " "
y[1] (numeric) = 2.002388355101643 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.774238084110390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.92000000000009500E-2 " "
y[1] (analytic) = 2.0023952756139023 " "
y[1] (numeric) = 2.0023952756138987 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77423195213607170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.93000000000009600E-2 " "
y[1] (analytic) = 2.0024022061501108 " "
y[1] (numeric) = 2.0024022061501072 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77422581132242850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.94000000000009600E-2 " "
y[1] (analytic) = 2.0024091467103413 " "
y[1] (numeric) = 2.0024091467103378 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77421966166958320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.95000000000009600E-2 " "
y[1] (analytic) = 2.002416097294663 " "
y[1] (numeric) = 2.00241609729466 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55243681528045190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.96000000000009700E-2 " "
y[1] (analytic) = 2.0024230579031466 " "
y[1] (numeric) = 2.002423057903143 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77420733584677830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.97000000000009700E-2 " "
y[1] (analytic) = 2.0024300285358603 " "
y[1] (numeric) = 2.0024300285358567 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77420115967706460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.98000000000009700E-2 " "
y[1] (analytic) = 2.0024370091928745 " "
y[1] (numeric) = 2.0024370091928705 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9959693465022210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.99000000000009700E-2 " "
y[1] (analytic) = 2.0024439998742585 " "
y[1] (numeric) = 2.0024439998742545 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9959623784243350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.00000000000009700E-2 " "
y[1] (analytic) = 2.0024510005800824 " "
y[1] (numeric) = 2.0024510005800784 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99595540040317820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.01000000000009800E-2 " "
y[1] (analytic) = 2.0024580113104165 " "
y[1] (numeric) = 2.0024580113104125 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99594841243889040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.02000000000009800E-2 " "
y[1] (analytic) = 2.0024650320653308 " "
y[1] (numeric) = 2.0024650320653268 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99594141453161070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.03000000000009800E-2 " "
y[1] (analytic) = 2.0024720628448955 " "
y[1] (numeric) = 2.0024720628448915 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9959344066814788000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.04000000000010000E-2 " "
y[1] (analytic) = 2.0024791036491805 " "
y[1] (numeric) = 2.002479103649177 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77415767901212020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.05000000000010000E-2 " "
y[1] (analytic) = 2.0024861544782566 " "
y[1] (numeric) = 2.002486154478253 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7741514321361950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.060000000000100E-2 " "
y[1] (analytic) = 2.002493215332194 " "
y[1] (numeric) = 2.002493215332191 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5523770293697340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.070000000000100E-2 " "
y[1] (analytic) = 2.002500286211064 " "
y[1] (numeric) = 2.002500286211061 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55237154788740370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.080000000000100E-2 " "
y[1] (analytic) = 2.002507367114937 " "
y[1] (numeric) = 2.002507367114934 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55236605867228960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.090000000000101E-2 " "
y[1] (analytic) = 2.002514458043884 " "
y[1] (numeric) = 2.0025144580438807 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5523605617245010000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.100000000000101E-2 " "
y[1] (analytic) = 2.002521558997975 " "
y[1] (numeric) = 2.0025215589979717 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55235505704414860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.11000000000010100E-2 " "
y[1] (analytic) = 2.0025286699772815 " "
y[1] (numeric) = 2.0025286699772784 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55234954463134120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.12000000000010200E-2 " "
y[1] (analytic) = 2.0025357909818746 " "
y[1] (numeric) = 2.002535790981872 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3305805924167340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.13000000000010200E-2 " "
y[1] (analytic) = 2.002542922011826 " "
y[1] (numeric) = 2.0025429220118234 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33057585423611740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.14000000000010200E-2 " "
y[1] (analytic) = 2.002550063067207 " "
y[1] (numeric) = 2.0025500630672037 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55233296099929300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.15000000000010200E-2 " "
y[1] (analytic) = 2.002557214148088 " "
y[1] (numeric) = 2.002557214148085 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55232741765776920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.16000000000010200E-2 " "
y[1] (analytic) = 2.0025643752545412 " "
y[1] (numeric) = 2.002564375254538 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5523218665843430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.17000000000010300E-2 " "
y[1] (analytic) = 2.0025715463866383 " "
y[1] (numeric) = 2.002571546386635 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55231630777912470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.18000000000010300E-2 " "
y[1] (analytic) = 2.002578727544451 " "
y[1] (numeric) = 2.0025787275444475 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77406941856254270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.19000000000010300E-2 " "
y[1] (analytic) = 2.002585918728051 " "
y[1] (numeric) = 2.0025859187280473 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77406304797000620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.20000000000010400E-2 " "
y[1] (analytic) = 2.0025931199375098 " "
y[1] (numeric) = 2.002593119937506 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77405666854151680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.21000000000010400E-2 " "
y[1] (analytic) = 2.0026003311729 " "
y[1] (numeric) = 2.0026003311728964 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7740502802772020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.22000000000010400E-2 " "
y[1] (analytic) = 2.0026075524342937 " "
y[1] (numeric) = 2.00260755243429 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77404388317718900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.23000000000010400E-2 " "
y[1] (analytic) = 2.0026147837217625 " "
y[1] (numeric) = 2.0026147837217594 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55228279258640580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.24000000000010400E-2 " "
y[1] (analytic) = 2.0026220250353797 " "
y[1] (numeric) = 2.002622025035376 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7740310624705810000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.25000000000010500E-2 " "
y[1] (analytic) = 2.0026292763752167 " "
y[1] (numeric) = 2.002629276375213 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77402463886424140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.26000000000010500E-2 " "
y[1] (analytic) = 2.002636537741347 " "
y[1] (numeric) = 2.0026365377413433 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77401820642271560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.27000000000010500E-2 " "
y[1] (analytic) = 2.002643809133842 " "
y[1] (numeric) = 2.0026438091338385 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77401176514613200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.28000000000010600E-2 " "
y[1] (analytic) = 2.0026510905527757 " "
y[1] (numeric) = 2.002651090552772 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77400531503461940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.29000000000010600E-2 " "
y[1] (analytic) = 2.00265838199822 " "
y[1] (numeric) = 2.0026583819982164 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77399885608830660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.30000000000010600E-2 " "
y[1] (analytic) = 2.002665683470248 " "
y[1] (numeric) = 2.0026656834702448 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5522433397689070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.31000000000010600E-2 " "
y[1] (analytic) = 2.0026729949689335 " "
y[1] (numeric) = 2.00267299496893 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7739859116917950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.32000000000010600E-2 " "
y[1] (analytic) = 2.0026803164943483 " "
y[1] (numeric) = 2.0026803164943447 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7739794262418550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.33000000000010800E-2 " "
y[1] (analytic) = 2.0026876480465665 " "
y[1] (numeric) = 2.002687648046563 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77397293195763140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.34000000000010800E-2 " "
y[1] (analytic) = 2.0026949896256614 " "
y[1] (numeric) = 2.002694989625658 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77396642883925370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.35000000000010800E-2 " "
y[1] (analytic) = 2.0027023412317053 " "
y[1] (numeric) = 2.002702341231702 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55221492727599580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.36000000000010900E-2 " "
y[1] (analytic) = 2.002709702864774 " "
y[1] (numeric) = 2.0027097028647702 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7739533961005560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.37000000000010900E-2 " "
y[1] (analytic) = 2.0027170745249387 " "
y[1] (numeric) = 2.002717074524935 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7739468664804960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.38000000000010900E-2 " "
y[1] (analytic) = 2.0027244562122744 " "
y[1] (numeric) = 2.002724456212271 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7739403280268020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.39000000000010900E-2 " "
y[1] (analytic) = 2.0027318479268548 " "
y[1] (numeric) = 2.002731847926851 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7739337807396050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.40000000000010900E-2 " "
y[1] (analytic) = 2.0027392496687537 " "
y[1] (numeric) = 2.00273924966875 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7739272246190350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4100000000001100E-2 " "
y[1] (analytic) = 2.002746661438045 " "
y[1] (numeric) = 2.0027466614380414 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77392065966522380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4200000000001100E-2 " "
y[1] (analytic) = 2.002754083234803 " "
y[1] (numeric) = 2.0027540832347994 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77391408587830120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4300000000001100E-2 " "
y[1] (analytic) = 2.0027615150591016 " "
y[1] (numeric) = 2.002761515059098 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77390750325839980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4400000000001110E-2 " "
y[1] (analytic) = 2.002768956911016 " "
y[1] (numeric) = 2.002768956911012 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99563852578135580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.45000000000011100E-2 " "
y[1] (analytic) = 2.002776408790619 " "
y[1] (numeric) = 2.0027764087906155 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77389431152018360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.46000000000011100E-2 " "
y[1] (analytic) = 2.0027838706979866 " "
y[1] (numeric) = 2.002783870697983 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77388770240213240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.47000000000011100E-2 " "
y[1] (analytic) = 2.002791342633193 " "
y[1] (numeric) = 2.0027913426331896 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77388108445162800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.48000000000011100E-2 " "
y[1] (analytic) = 2.0027988245963133 " "
y[1] (numeric) = 2.0027988245963093 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9956087648774032000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.49000000000011200E-2 " "
y[1] (analytic) = 2.002806316587421 " "
y[1] (numeric) = 2.0028063165874173 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77386782205378960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.50000000000011200E-2 " "
y[1] (analytic) = 2.002813818606592 " "
y[1] (numeric) = 2.0028138186065885 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.773861177606719800000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.51000000000011200E-2 " "
y[1] (analytic) = 2.0028213306539016 " "
y[1] (numeric) = 2.002821330653898 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77385452432772650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.52000000000011300E-2 " "
y[1] (analytic) = 2.0028288527294245 " "
y[1] (numeric) = 2.002828852729421 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77384786221694240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.53000000000011300E-2 " "
y[1] (analytic) = 2.002836384833236 " "
y[1] (numeric) = 2.0028363848332322 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77384119127450060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.54000000000011300E-2 " "
y[1] (analytic) = 2.0028439269654106 " "
y[1] (numeric) = 2.0028439269654075 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55210519756296740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.55000000000011300E-2 " "
y[1] (analytic) = 2.0028514791260252 " "
y[1] (numeric) = 2.0028514791260217 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77382782289517620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.56000000000011300E-2 " "
y[1] (analytic) = 2.0028590413151544 " "
y[1] (numeric) = 2.002859041315151 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77382112545856060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.57000000000011400E-2 " "
y[1] (analytic) = 2.0028666135328743 " "
y[1] (numeric) = 2.0028666135328703 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9955412215896730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.58000000000011400E-2 " "
y[1] (analytic) = 2.0028741957792597 " "
y[1] (numeric) = 2.002874195779256 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77380770409209050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.59000000000011400E-2 " "
y[1] (analytic) = 2.0028817880543874 " "
y[1] (numeric) = 2.002881788054384 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7738009801625040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.60000000000011600E-2 " "
y[1] (analytic) = 2.002889390358333 " "
y[1] (numeric) = 2.0028893903583294 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77379424740219530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.61000000000011600E-2 " "
y[1] (analytic) = 2.0028970026911725 " "
y[1] (numeric) = 2.002897002691169 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77378750581129870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.62000000000011600E-2 " "
y[1] (analytic) = 2.0029046250529823 " "
y[1] (numeric) = 2.0029046250529787 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77378075538994870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.63000000000011600E-2 " "
y[1] (analytic) = 2.002912257443838 " "
y[1] (numeric) = 2.0029122574438345 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77377399613828040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.64000000000011600E-2 " "
y[1] (analytic) = 2.0029198998638167 " "
y[1] (numeric) = 2.0029198998638127 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99548813156348180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.65000000000011700E-2 " "
y[1] (analytic) = 2.002927552312994 " "
y[1] (numeric) = 2.00292755231299 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99548050753759340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.66000000000011700E-2 " "
y[1] (analytic) = 2.0029352147914468 " "
y[1] (numeric) = 2.002935214791443 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7737536654027142000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.67000000000011700E-2 " "
y[1] (analytic) = 2.002942887299252 " "
y[1] (numeric) = 2.0029428872992483 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77374687083112210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.68000000000011800E-2 " "
y[1] (analytic) = 2.002950569836486 " "
y[1] (numeric) = 2.0029505698364822 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7737400674298880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.69000000000011800E-2 " "
y[1] (analytic) = 2.002958262403226 " "
y[1] (numeric) = 2.002958262403222 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99544991209904040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.70000000000011800E-2 " "
y[1] (analytic) = 2.002965964999548 " "
y[1] (numeric) = 2.002965964999544 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99544223840641550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.71000000000011800E-2 " "
y[1] (analytic) = 2.00297367762553 " "
y[1] (numeric) = 2.002973677625526 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99543455478090130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.72000000000011800E-2 " "
y[1] (analytic) = 2.0029814002812487 " "
y[1] (numeric) = 2.0029814002812447 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99542686122265140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.73000000000011900E-2 " "
y[1] (analytic) = 2.0029891329667815 " "
y[1] (numeric) = 2.0029891329667775 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.995419157731820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.74000000000011900E-2 " "
y[1] (analytic) = 2.0029968756822054 " "
y[1] (numeric) = 2.0029968756822014 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99541144430856020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.75000000000011900E-2 " "
y[1] (analytic) = 2.0030046284275986 " "
y[1] (numeric) = 2.003004628427594 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21711524550336210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7600000000001200E-2 " "
y[1] (analytic) = 2.0030123912030375 " "
y[1] (numeric) = 2.0030123912030335 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99539598766537180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7700000000001200E-2 " "
y[1] (analytic) = 2.0030201640086007 " "
y[1] (numeric) = 2.0030201640085967 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99538824444575190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7800000000001200E-2 " "
y[1] (analytic) = 2.0030279468443655 " "
y[1] (numeric) = 2.0030279468443615 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99538049129432020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7900000000001200E-2 " "
y[1] (analytic) = 2.00303573971041 " "
y[1] (numeric) = 2.0030357397104055 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2170808091235910000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.80000000000012000E-2 " "
y[1] (analytic) = 2.0030435426068114 " "
y[1] (numeric) = 2.003043542606807 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21707217244071360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.81000000000012100E-2 " "
y[1] (analytic) = 2.0030513555336484 " "
y[1] (numeric) = 2.003051355533644 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21706352472300600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.82000000000012100E-2 " "
y[1] (analytic) = 2.0030591784909992 " "
y[1] (numeric) = 2.003059178490995 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21705486597064180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.83000000000012100E-2 " "
y[1] (analytic) = 2.0030670114789415 " "
y[1] (numeric) = 2.003067011478937 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21704619618379340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.84000000000012200E-2 " "
y[1] (analytic) = 2.003074854497554 " "
y[1] (numeric) = 2.0030748544975494 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2170375153626340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.85000000000012200E-2 " "
y[1] (analytic) = 2.0030827075469153 " "
y[1] (numeric) = 2.0030827075469104 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4387317058580693000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.86000000000012200E-2 " "
y[1] (analytic) = 2.003090570627103 " "
y[1] (numeric) = 2.0030905706270987 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21702012061807370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.87000000000012200E-2 " "
y[1] (analytic) = 2.003098443738197 " "
y[1] (numeric) = 2.0030984437381925 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21701140669502030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.88000000000012200E-2 " "
y[1] (analytic) = 2.0031063268802756 " "
y[1] (numeric) = 2.0031063268802707 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43870294991218460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.89000000000012400E-2 " "
y[1] (analytic) = 2.0031142200534173 " "
y[1] (numeric) = 2.0031142200534124 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43869334032305960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.90000000000012400E-2 " "
y[1] (analytic) = 2.003122123257701 " "
y[1] (numeric) = 2.0031221232576963 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21698519872485430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.91000000000012400E-2 " "
y[1] (analytic) = 2.003130036493206 " "
y[1] (numeric) = 2.0031300364932014 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21697644066837800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.92000000000012500E-2 " "
y[1] (analytic) = 2.0031379597600116 " "
y[1] (numeric) = 2.0031379597600067 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43866443873688050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.93000000000012500E-2 " "
y[1] (analytic) = 2.0031458930581962 " "
y[1] (numeric) = 2.003145893058192 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2169588914568428000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.94000000000012500E-2 " "
y[1] (analytic) = 2.00315383638784 " "
y[1] (numeric) = 2.0031538363878356 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21695010030213390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.95000000000012500E-2 " "
y[1] (analytic) = 2.003161789749023 " "
y[1] (numeric) = 2.003161789749018 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4386354279265332000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.96000000000012500E-2 " "
y[1] (analytic) = 2.003169753141823 " "
y[1] (numeric) = 2.0031697531418184 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21693248489570950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.97000000000012600E-2 " "
y[1] (analytic) = 2.003177726566321 " "
y[1] (numeric) = 2.0031777265663164 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21692366064434570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.98000000000012600E-2 " "
y[1] (analytic) = 2.0031857100225956 " "
y[1] (numeric) = 2.0031857100225916 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99522334282500460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.99000000000012600E-2 " "
y[1] (analytic) = 2.0031937035107283 " "
y[1] (numeric) = 2.003193703510724 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2169059790461960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.00000000000012700E-2 " "
y[1] (analytic) = 2.0032017070307973 " "
y[1] (numeric) = 2.0032017070307933 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99520740952978670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.01000000000012700E-2 " "
y[1] (analytic) = 2.0032097205828836 " "
y[1] (numeric) = 2.0032097205828796 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99519942798979360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.02000000000012700E-2 " "
y[1] (analytic) = 2.003217744167067 " "
y[1] (numeric) = 2.0032177441670633 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77350349913045050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.03000000000012700E-2 " "
y[1] (analytic) = 2.0032257777834284 " "
y[1] (numeric) = 2.0032257777834244 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9951834351258352000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.04000000000012700E-2 " "
y[1] (analytic) = 2.0032338214320466 " "
y[1] (numeric) = 2.003233821432043 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77348926560194630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.05000000000012800E-2 " "
y[1] (analytic) = 2.003241875113004 " "
y[1] (numeric) = 2.003241875113 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99516740255097860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.06000000000012800E-2 " "
y[1] (analytic) = 2.0032499388263796 " "
y[1] (numeric) = 2.0032499388263756 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99515937137236250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.07000000000012800E-2 " "
y[1] (analytic) = 2.0032580125722546 " "
y[1] (numeric) = 2.0032580125722506 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99515133026650250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.08000000000012900E-2 " "
y[1] (analytic) = 2.0032660963507096 " "
y[1] (numeric) = 2.0032660963507056 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9951432792335580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.09000000000012900E-2 " "
y[1] (analytic) = 2.003274190161826 " "
y[1] (numeric) = 2.003274190161822 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99513521827368950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1000000000001290E-2 " "
y[1] (analytic) = 2.0032822940056842 " "
y[1] (numeric) = 2.0032822940056803 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99512714738705850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1100000000001290E-2 " "
y[1] (analytic) = 2.0032904078823655 " "
y[1] (numeric) = 2.0032904078823615 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99511906657382580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1200000000001290E-2 " "
y[1] (analytic) = 2.0032985317919505 " "
y[1] (numeric) = 2.0032985317919465 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99511097583415260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1300000000001300E-2 " "
y[1] (analytic) = 2.003306665734521 " "
y[1] (numeric) = 2.003306665734517 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99510287516820000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1400000000001300E-2 " "
y[1] (analytic) = 2.003314809710158 " "
y[1] (numeric) = 2.003314809710154 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99509476457613050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.15000000000013000E-2 " "
y[1] (analytic) = 2.0033229637189436 " "
y[1] (numeric) = 2.003322963718939 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21676293784233870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.16000000000013200E-2 " "
y[1] (analytic) = 2.0033311277609585 " "
y[1] (numeric) = 2.003331127760954 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21675390401587300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.17000000000013200E-2 " "
y[1] (analytic) = 2.0033393018362844 " "
y[1] (numeric) = 2.0033393018362804 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99507037324483520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.18000000000013200E-2 " "
y[1] (analytic) = 2.003347485945004 " "
y[1] (numeric) = 2.0033474859449996 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21673580327768350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.19000000000013200E-2 " "
y[1] (analytic) = 2.003355680087198 " "
y[1] (numeric) = 2.0033556800871937 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2167267363663210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.20000000000013200E-2 " "
y[1] (analytic) = 2.003363884262949 " "
y[1] (numeric) = 2.0033638842629444 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21671765842702120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.21000000000013300E-2 " "
y[1] (analytic) = 2.0033720984723384 " "
y[1] (numeric) = 2.003372098472334 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21670856945996560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.22000000000013300E-2 " "
y[1] (analytic) = 2.0033803227154494 " "
y[1] (numeric) = 2.003380322715445 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2166994694653340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.23000000000013300E-2 " "
y[1] (analytic) = 2.0033885569923635 " "
y[1] (numeric) = 2.003388556992359 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2166903584433090000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.24000000000013400E-2 " "
y[1] (analytic) = 2.003396801303163 " "
y[1] (numeric) = 2.0033968013031584 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2166812363940730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.25000000000013400E-2 " "
y[1] (analytic) = 2.0034050556479306 " "
y[1] (numeric) = 2.003405055647926 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21667210331780660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.26000000000013400E-2 " "
y[1] (analytic) = 2.0034133200267488 " "
y[1] (numeric) = 2.0034133200267443 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21666295921469330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.27000000000013400E-2 " "
y[1] (analytic) = 2.0034215944397005 " "
y[1] (numeric) = 2.0034215944396956 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4383191844934057000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.28000000000013400E-2 " "
y[1] (analytic) = 2.0034298788868674 " "
y[1] (numeric) = 2.003429878886863 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21664463792865330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.29000000000013500E-2 " "
y[1] (analytic) = 2.003438173368334 " "
y[1] (numeric) = 2.003438173368329 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4382990068207010000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.30000000000013500E-2 " "
y[1] (analytic) = 2.0034464778841814 " "
y[1] (numeric) = 2.003446477884177 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21662627253741500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.31000000000013500E-2 " "
y[1] (analytic) = 2.003454792434494 " "
y[1] (numeric) = 2.0034547924344897 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21661707330280460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.32000000000013600E-2 " "
y[1] (analytic) = 2.0034631170193546 " "
y[1] (numeric) = 2.00346311701935 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21660786304244430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.33000000000013600E-2 " "
y[1] (analytic) = 2.0034714516388465 " "
y[1] (numeric) = 2.003471451638842 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21659864175651760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.34000000000013600E-2 " "
y[1] (analytic) = 2.003479796293053 " "
y[1] (numeric) = 2.0034797962930484 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21658940944520930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.35000000000013600E-2 " "
y[1] (analytic) = 2.003488150982057 " "
y[1] (numeric) = 2.0034881509820526 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2165801661087028000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.36000000000013600E-2 " "
y[1] (analytic) = 2.003496515705943 " "
y[1] (numeric) = 2.0034965157059386 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2165709117471830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.37000000000013700E-2 " "
y[1] (analytic) = 2.003504890464794 " "
y[1] (numeric) = 2.0035048904647894 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2165616463608340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.38000000000013700E-2 " "
y[1] (analytic) = 2.0035132752586935 " "
y[1] (numeric) = 2.003513275258689 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21655236994984130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.39000000000013700E-2 " "
y[1] (analytic) = 2.0035216700877263 " "
y[1] (numeric) = 2.003521670087722 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21654308251438920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.40000000000013800E-2 " "
y[1] (analytic) = 2.0035300749519758 " "
y[1] (numeric) = 2.0035300749519713 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21653378405466340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.41000000000013800E-2 " "
y[1] (analytic) = 2.0035384898515254 " "
y[1] (numeric) = 2.0035384898515214 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9948720271137650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.42000000000013800E-2 " "
y[1] (analytic) = 2.003546914786461 " "
y[1] (numeric) = 2.0035469147864564 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21651515406313250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.43000000000013800E-2 " "
y[1] (analytic) = 2.003555349756865 " "
y[1] (numeric) = 2.0035553497568603 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21650582253169940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.44000000000013900E-2 " "
y[1] (analytic) = 2.0035637947628224 " "
y[1] (numeric) = 2.003563794762818 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21649647997673530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4500000000001400E-2 " "
y[1] (analytic) = 2.003572249804418 " "
y[1] (numeric) = 2.0035722498044137 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2164871263984270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4600000000001400E-2 " "
y[1] (analytic) = 2.0035807148817364 " "
y[1] (numeric) = 2.003580714881732 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2164777617969608000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4700000000001400E-2 " "
y[1] (analytic) = 2.0035891899948615 " "
y[1] (numeric) = 2.003589189994857 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21646838617252460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4800000000001410E-2 " "
y[1] (analytic) = 2.0035976751438787 " "
y[1] (numeric) = 2.003597675143874 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2164589995253040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4900000000001410E-2 " "
y[1] (analytic) = 2.0036061703288723 " "
y[1] (numeric) = 2.0036061703288683 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99480464166993800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.50000000000014100E-2 " "
y[1] (analytic) = 2.0036146755499282 " "
y[1] (numeric) = 2.003614675549924 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21644019316326050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.51000000000014100E-2 " "
y[1] (analytic) = 2.0036231908071302 " "
y[1] (numeric) = 2.0036231908071263 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99478769610393150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.52000000000014100E-2 " "
y[1] (analytic) = 2.003631716100565 " "
y[1] (numeric) = 2.0036317161005606 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21642134271233080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.53000000000014200E-2 " "
y[1] (analytic) = 2.0036402514303164 " "
y[1] (numeric) = 2.003640251430312 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2164119009540040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.54000000000014200E-2 " "
y[1] (analytic) = 2.0036487967964707 " "
y[1] (numeric) = 2.003648796796466 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43804269299142120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.55000000000014200E-2 " "
y[1] (analytic) = 2.003657352199112 " "
y[1] (numeric) = 2.0036573521991077 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21639298437256740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.56000000000014300E-2 " "
y[1] (analytic) = 2.003665917638328 " "
y[1] (numeric) = 2.0036659176383234 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21638350954983440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.57000000000014300E-2 " "
y[1] (analytic) = 2.0036744931142025 " "
y[1] (numeric) = 2.003674493114198 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21637402370601060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.58000000000014300E-2 " "
y[1] (analytic) = 2.003683078626822 " "
y[1] (numeric) = 2.0036830786268176 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21636452684128540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.59000000000014300E-2 " "
y[1] (analytic) = 2.003691674176273 " "
y[1] (numeric) = 2.003691674176268 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4379905208514320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.60000000000014300E-2 " "
y[1] (analytic) = 2.00370027976264 " "
y[1] (numeric) = 2.003700279762635 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4379800500548750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.61000000000014400E-2 " "
y[1] (analytic) = 2.0037088953860103 " "
y[1] (numeric) = 2.003708895386005 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65960316414831140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.62000000000014400E-2 " "
y[1] (analytic) = 2.003717521046469 " "
y[1] (numeric) = 2.0037175210464637 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6595917150125890000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.63000000000014400E-2 " "
y[1] (analytic) = 2.0037261567441034 " "
y[1] (numeric) = 2.003726156744098 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6595802526529220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.64000000000014500E-2 " "
y[1] (analytic) = 2.003734802478999 " "
y[1] (numeric) = 2.0037348024789936 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6595687770695420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.65000000000014500E-2 " "
y[1] (analytic) = 2.0037434582512423 " "
y[1] (numeric) = 2.0037434582512375 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43792751424078660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.66000000000014500E-2 " "
y[1] (analytic) = 2.003752124060921 " "
y[1] (numeric) = 2.0037521240609157 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65954578623255400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.67000000000014500E-2 " "
y[1] (analytic) = 2.003760799908121 " "
y[1] (numeric) = 2.0037607999081155 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6595342709794040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.68000000000014500E-2 " "
y[1] (analytic) = 2.0037694857929282 " "
y[1] (numeric) = 2.0037694857929234 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4378958472948362000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.69000000000014600E-2 " "
y[1] (analytic) = 2.0037781817154308 " "
y[1] (numeric) = 2.003778181715426 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43788526740453150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.70000000000014700E-2 " "
y[1] (analytic) = 2.003786887675715 " "
y[1] (numeric) = 2.00378688767571 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43787467539375140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.71000000000014700E-2 " "
y[1] (analytic) = 2.0037956036738684 " "
y[1] (numeric) = 2.003795603673863 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6594880777411340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.72000000000014800E-2 " "
y[1] (analytic) = 2.0038043297099777 " "
y[1] (numeric) = 2.0038043297099724 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65947649637629960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.73000000000014800E-2 " "
y[1] (analytic) = 2.00381306578413 " "
y[1] (numeric) = 2.003813065784125 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65946490178982100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.74000000000014800E-2 " "
y[1] (analytic) = 2.0038218118964135 " "
y[1] (numeric) = 2.003821811896408 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65945329398192760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.75000000000014800E-2 " "
y[1] (analytic) = 2.003830568046915 " "
y[1] (numeric) = 2.0038305680469097 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6594416729528520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.76000000000014800E-2 " "
y[1] (analytic) = 2.003839334235722 " "
y[1] (numeric) = 2.0038393342357166 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6594300387028260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.77000000000014900E-2 " "
y[1] (analytic) = 2.003848110462922 " "
y[1] (numeric) = 2.003848110462917 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4378001919627420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.78000000000014900E-2 " "
y[1] (analytic) = 2.0038568967286037 " "
y[1] (numeric) = 2.003856896728599 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.437789502995780200000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.79000000000014900E-2 " "
y[1] (analytic) = 2.0038656930328544 " "
y[1] (numeric) = 2.003865693032849 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65939505662936560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8000000000001500E-2 " "
y[1] (analytic) = 2.003874499375762 " "
y[1] (numeric) = 2.0038744993757565 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65938336949786000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8100000000001500E-2 " "
y[1] (analytic) = 2.003883315757414 " "
y[1] (numeric) = 2.0038833157574087 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6593716691465674000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8200000000001500E-2 " "
y[1] (analytic) = 2.0038921421778997 " "
y[1] (numeric) = 2.0038921421778944 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6593599555757186000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8300000000001500E-2 " "
y[1] (analytic) = 2.003900978637307 " "
y[1] (numeric) = 2.003900978637301 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8809605811843450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8400000000001500E-2 " "
y[1] (analytic) = 2.0039098251357235 " "
y[1] (numeric) = 2.003909825135718 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65933648877629300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.85000000000015100E-2 " "
y[1] (analytic) = 2.0039186816732384 " "
y[1] (numeric) = 2.003918681673233 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65932473554818470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.86000000000015100E-2 " "
y[1] (analytic) = 2.0039275482499406 " "
y[1] (numeric) = 2.003927548249935 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88092238319324460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.87000000000015100E-2 " "
y[1] (analytic) = 2.003936424865918 " "
y[1] (numeric) = 2.003936424865912 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8809096218893730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.88000000000015200E-2 " "
y[1] (analytic) = 2.0039453115212593 " "
y[1] (numeric) = 2.003945311521254 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6592893965530840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.89000000000015200E-2 " "
y[1] (analytic) = 2.0039542082160544 " "
y[1] (numeric) = 2.0039542082160486 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8808840563229010000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.90000000000015200E-2 " "
y[1] (analytic) = 2.003963114950391 " "
y[1] (numeric) = 2.0039631149503854 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.880871252060810000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.91000000000015200E-2 " "
y[1] (analytic) = 2.0039720317243592 " "
y[1] (numeric) = 2.0039720317243535 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8808584334798220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.92000000000015200E-2 " "
y[1] (analytic) = 2.0039809585380475 " "
y[1] (numeric) = 2.0039809585380417 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8808456005801936000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.93000000000015300E-2 " "
y[1] (analytic) = 2.0039898953915456 " "
y[1] (numeric) = 2.00398989539154 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.880832753362180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.94000000000015300E-2 " "
y[1] (analytic) = 2.0039988422849424 " "
y[1] (numeric) = 2.0039988422849366 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88081989182603860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.95000000000015300E-2 " "
y[1] (analytic) = 2.0040077992183276 " "
y[1] (numeric) = 2.004007799218322 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88080701597202450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.96000000000015500E-2 " "
y[1] (analytic) = 2.004016766191791 " "
y[1] (numeric) = 2.004016766191785 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88079412580039440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.97000000000015500E-2 " "
y[1] (analytic) = 2.004025743205422 " "
y[1] (numeric) = 2.0040257432054163 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88078122131140650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.98000000000015500E-2 " "
y[1] (analytic) = 2.0040347302593107 " "
y[1] (numeric) = 2.004034730259305 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8807683025053160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.99000000000015500E-2 " "
y[1] (analytic) = 2.0040437273535465 " "
y[1] (numeric) = 2.0040437273535407 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8807553693823830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.00000000000015500E-2 " "
y[1] (analytic) = 2.0040527344882193 " "
y[1] (numeric) = 2.004052734488214 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6591468510241834000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.01000000000015600E-2 " "
y[1] (analytic) = 2.0040617516634196 " "
y[1] (numeric) = 2.0040617516634143 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65913488632647850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.02000000000015600E-2 " "
y[1] (analytic) = 2.004070778879238 " "
y[1] (numeric) = 2.0040707788792322 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8807164841151030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.03000000000015600E-2 " "
y[1] (analytic) = 2.0040798161357634 " "
y[1] (numeric) = 2.004079816135758 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65911091728681050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.04000000000015700E-2 " "
y[1] (analytic) = 2.004088863433087 " "
y[1] (numeric) = 2.004088863433082 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6590989129453240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.05000000000015700E-2 " "
y[1] (analytic) = 2.0040979207713 " "
y[1] (numeric) = 2.004097920771294 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88067747000553150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.06000000000015700E-2 " "
y[1] (analytic) = 2.0041069881504914 " "
y[1] (numeric) = 2.004106988150486 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65907486462024330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.07000000000015700E-2 " "
y[1] (analytic) = 2.004116065570753 " "
y[1] (numeric) = 2.0041160655707477 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6590628206371286000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.08000000000015700E-2 " "
y[1] (analytic) = 2.0041251530321755 " "
y[1] (numeric) = 2.00412515303217 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6590507634406180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.09000000000015800E-2 " "
y[1] (analytic) = 2.0041342505348494 " "
y[1] (numeric) = 2.004134250534844 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65903869303095200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.10000000000015800E-2 " "
y[1] (analytic) = 2.0041433580788657 " "
y[1] (numeric) = 2.0041433580788603 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.659026609408370300000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.11000000000015800E-2 " "
y[1] (analytic) = 2.0041524756643154 " "
y[1] (numeric) = 2.00415247566431 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6590145125731150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.12000000000015900E-2 " "
y[1] (analytic) = 2.0041616032912906 " "
y[1] (numeric) = 2.004161603291285 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88058593606921150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.13000000000015900E-2 " "
y[1] (analytic) = 2.0041707409598812 " "
y[1] (numeric) = 2.0041707409598755 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8805728025376753000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.14000000000015900E-2 " "
y[1] (analytic) = 2.0041798886701794 " "
y[1] (numeric) = 2.0041798886701736 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88055965469319330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1500000000001590E-2 " "
y[1] (analytic) = 2.0041890464222765 " "
y[1] (numeric) = 2.0041890464222707 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88054649253602750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1600000000001590E-2 " "
y[1] (analytic) = 2.004198214216264 " "
y[1] (numeric) = 2.004198214216258 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8805333160664410000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1700000000001600E-2 " "
y[1] (analytic) = 2.0042073920522334 " "
y[1] (numeric) = 2.004207392052228 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65894165410895060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1800000000001600E-2 " "
y[1] (analytic) = 2.004216579930277 " "
y[1] (numeric) = 2.004216579930272 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6589294647917440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1900000000001600E-2 " "
y[1] (analytic) = 2.0042257778504866 " "
y[1] (numeric) = 2.0042257778504813 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65891726226380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.20000000000016100E-2 " "
y[1] (analytic) = 2.004234985812954 " "
y[1] (numeric) = 2.0042349858129485 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65890504652536300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.21000000000016100E-2 " "
y[1] (analytic) = 2.004244203817771 " "
y[1] (numeric) = 2.0042442038177657 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65889281757667460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.22000000000016100E-2 " "
y[1] (analytic) = 2.0042534318650302 " "
y[1] (numeric) = 2.004253431865025 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6588805754179790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.23000000000016100E-2 " "
y[1] (analytic) = 2.0042626699548234 " "
y[1] (numeric) = 2.0042626699548185 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43729596004539560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.24000000000016100E-2 " "
y[1] (analytic) = 2.0042719180872437 " "
y[1] (numeric) = 2.004271918087239 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43728471384891730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.25000000000016300E-2 " "
y[1] (analytic) = 2.004281176262383 " "
y[1] (numeric) = 2.0042811762623782 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4372734555439388000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.26000000000016300E-2 " "
y[1] (analytic) = 2.004290444480334 " "
y[1] (numeric) = 2.0042904444803296 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2156928955733490000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.27000000000016300E-2 " "
y[1] (analytic) = 2.0042997227411896 " "
y[1] (numeric) = 2.004299722741185 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21568263873579750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.28000000000016400E-2 " "
y[1] (analytic) = 2.0043090110450423 " "
y[1] (numeric) = 2.004309011045038 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21567237089113050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.29000000000016400E-2 " "
y[1] (analytic) = 2.0043183093919854 " "
y[1] (numeric) = 2.004318309391981 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21566209203955280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.30000000000016400E-2 " "
y[1] (analytic) = 2.0043276177821117 " "
y[1] (numeric) = 2.0043276177821068 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4372169823993960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.31000000000016400E-2 " "
y[1] (analytic) = 2.0043369362155135 " "
y[1] (numeric) = 2.004336936215509 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2156415013164860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.32000000000016400E-2 " "
y[1] (analytic) = 2.004346264692285 " "
y[1] (numeric) = 2.0043462646922805 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21563118944540730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.33000000000016500E-2 " "
y[1] (analytic) = 2.0043556032125194 " "
y[1] (numeric) = 2.004355603212515 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21562086656823840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.34000000000016500E-2 " "
y[1] (analytic) = 2.00436495177631 " "
y[1] (numeric) = 2.004364951776305 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4371715859537038000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.35000000000016500E-2 " "
y[1] (analytic) = 2.0043743103837492 " "
y[1] (numeric) = 2.004374310383745 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21560018779645570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.36000000000016600E-2 " "
y[1] (analytic) = 2.0043836790349325 " "
y[1] (numeric) = 2.0043836790349276 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4371488150924790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.37000000000016600E-2 " "
y[1] (analytic) = 2.0043930577299522 " "
y[1] (numeric) = 2.0043930577299474 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43713741150306450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.38000000000016600E-2 " "
y[1] (analytic) = 2.0044024464689025 " "
y[1] (numeric) = 2.0044024464688976 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43712599580808680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.39000000000016600E-2 " "
y[1] (analytic) = 2.0044118452518775 " "
y[1] (numeric) = 2.004411845251872 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65867043782665900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.40000000000016600E-2 " "
y[1] (analytic) = 2.0044212540789705 " "
y[1] (numeric) = 2.0044212540789657 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43710312810234750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.41000000000016700E-2 " "
y[1] (analytic) = 2.004430672950276 " "
y[1] (numeric) = 2.004430672950271 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43709167609204250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.42000000000016700E-2 " "
y[1] (analytic) = 2.004440101865889 " "
y[1] (numeric) = 2.004440101865884 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4370802119770840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.43000000000016700E-2 " "
y[1] (analytic) = 2.0044495408259024 " "
y[1] (numeric) = 2.0044495408258975 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4370687357577023000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.44000000000016800E-2 " "
y[1] (analytic) = 2.004458989830411 " "
y[1] (numeric) = 2.0044589898304066 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21550658857647740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.45000000000016800E-2 " "
y[1] (analytic) = 2.00446844887951 " "
y[1] (numeric) = 2.0044684488795053 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43704574700658150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.46000000000016800E-2 " "
y[1] (analytic) = 2.0044779179732934 " "
y[1] (numeric) = 2.0044779179732886 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43703423447530040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.47000000000016800E-2 " "
y[1] (analytic) = 2.0044873971118564 " "
y[1] (numeric) = 2.004487397111851 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6585702289169210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.48000000000016800E-2 " "
y[1] (analytic) = 2.0044968862952928 " "
y[1] (numeric) = 2.0044968862952874 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6585576433844850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.49000000000016900E-2 " "
y[1] (analytic) = 2.004506385523698 " "
y[1] (numeric) = 2.0045063855236926 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6585450446487240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5000000000001690E-2 " "
y[1] (analytic) = 2.0045158947971675 " "
y[1] (numeric) = 2.0045158947971617 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88007680210237800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5100000000001690E-2 " "
y[1] (analytic) = 2.0045254141157955 " "
y[1] (numeric) = 2.0045254141157898 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88006312486558300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5200000000001700E-2 " "
y[1] (analytic) = 2.004534943479678 " "
y[1] (numeric) = 2.004534943479672 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8800494333260010000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5300000000001710E-2 " "
y[1] (analytic) = 2.00454448288891 " "
y[1] (numeric) = 2.004544482888904 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8800357274839070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5400000000001710E-2 " "
y[1] (analytic) = 2.004554032343586 " "
y[1] (numeric) = 2.004554032343581 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65848185292883840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.55000000000017100E-2 " "
y[1] (analytic) = 2.0045635918438034 " "
y[1] (numeric) = 2.004563591843798 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65846917497840900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.56000000000017100E-2 " "
y[1] (analytic) = 2.004573161389656 " "
y[1] (numeric) = 2.004573161389651 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43691844350754970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.57000000000017200E-2 " "
y[1] (analytic) = 2.004582740981241 " "
y[1] (numeric) = 2.0045827409812356 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65844377947311750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.58000000000017200E-2 " "
y[1] (analytic) = 2.004592330618653 " "
y[1] (numeric) = 2.0045923306186477 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65843106191876200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.59000000000017200E-2 " "
y[1] (analytic) = 2.0046019303019884 " "
y[1] (numeric) = 2.004601930301983 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6584183311636040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.60000000000017300E-2 " "
y[1] (analytic) = 2.004611540031343 " "
y[1] (numeric) = 2.0046115400313376 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65840558720789800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.61000000000017300E-2 " "
y[1] (analytic) = 2.0046211598068124 " "
y[1] (numeric) = 2.0046211598068076 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43686009421424070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.62000000000017300E-2 " "
y[1] (analytic) = 2.0046307896284943 " "
y[1] (numeric) = 2.004630789628489 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6583800596958580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.63000000000017300E-2 " "
y[1] (analytic) = 2.004640429496484 " "
y[1] (numeric) = 2.0046404294964786 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6583672761400323000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.64000000000017300E-2 " "
y[1] (analytic) = 2.0046500794108777 " "
y[1] (numeric) = 2.0046500794108724 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6583544793846753000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.65000000000017400E-2 " "
y[1] (analytic) = 2.004659739371772 " "
y[1] (numeric) = 2.004659739371767 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43681319697753950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.66000000000017400E-2 " "
y[1] (analytic) = 2.0046694093792645 " "
y[1] (numeric) = 2.004669409379259 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65832884627638930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.67000000000017400E-2 " "
y[1] (analytic) = 2.0046790894334503 " "
y[1] (numeric) = 2.0046790894334454 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43678967576364150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.68000000000017500E-2 " "
y[1] (analytic) = 2.004688779534427 " "
y[1] (numeric) = 2.0046887795344226 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21525263364420500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.69000000000017500E-2 " "
y[1] (analytic) = 2.0046984796822924 " "
y[1] (numeric) = 2.0046984796822875 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.436766106155209800000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.70000000000017500E-2 " "
y[1] (analytic) = 2.0047081898771415 " "
y[1] (numeric) = 2.004708189877137 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21523118473057470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.71000000000017500E-2 " "
y[1] (analytic) = 2.0047179101190733 " "
y[1] (numeric) = 2.0047179101190684 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43674248815412530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.72000000000017500E-2 " "
y[1] (analytic) = 2.004727640408184 " "
y[1] (numeric) = 2.004727640408179 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6582516301893730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.73000000000017600E-2 " "
y[1] (analytic) = 2.004737380744571 " "
y[1] (numeric) = 2.004737380744566 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43671882176226960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.74000000000017600E-2 " "
y[1] (analytic) = 2.004747131128332 " "
y[1] (numeric) = 2.004747131128327 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43670697042039140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.75000000000017600E-2 " "
y[1] (analytic) = 2.0047568915595644 " "
y[1] (numeric) = 2.004756891559559 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6582128439798490000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.76000000000017700E-2 " "
y[1] (analytic) = 2.0047666620383655 " "
y[1] (numeric) = 2.00476666203836 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6581998888500910000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.77000000000017700E-2 " "
y[1] (analytic) = 2.004776442564833 " "
y[1] (numeric) = 2.004776442564828 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4366713438137940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.78000000000017700E-2 " "
y[1] (analytic) = 2.004786233139065 " "
y[1] (numeric) = 2.0047862331390602 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43665944408539560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.79000000000017700E-2 " "
y[1] (analytic) = 2.00479603376116 " "
y[1] (numeric) = 2.0047960337611546 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6581609442846826000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.80000000000017700E-2 " "
y[1] (analytic) = 2.0048058444312145 " "
y[1] (numeric) = 2.0048058444312096 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43663560834072260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.81000000000017900E-2 " "
y[1] (analytic) = 2.004815665149328 " "
y[1] (numeric) = 2.004815665149323 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43662367232492320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.82000000000017900E-2 " "
y[1] (analytic) = 2.0048254959155978 " "
y[1] (numeric) = 2.004825495915593 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43661172421379860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.83000000000017900E-2 " "
y[1] (analytic) = 2.004835336730123 " "
y[1] (numeric) = 2.004835336730118 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4365997640075870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.84000000000018000E-2 " "
y[1] (analytic) = 2.004845187593001 " "
y[1] (numeric) = 2.0048451875929962 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4365877917065270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.8500000000001800E-2 " "
y[1] (analytic) = 2.0048550485043313 " "
y[1] (numeric) = 2.0048550485043264 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43657580731085730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.8600000000001800E-2 " "
y[1] (analytic) = 2.004864919464212 " "
y[1] (numeric) = 2.004864919464207 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4365638108208160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.8700000000001800E-2 " "
y[1] (analytic) = 2.004874800472742 " "
y[1] (numeric) = 2.004874800472737 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4365518022366428000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.8800000000001800E-2 " "
y[1] (analytic) = 2.0048846915300196 " "
y[1] (numeric) = 2.004884691530015 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21503616505325180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.8900000000001810E-2 " "
y[1] (analytic) = 2.004894592636145 " "
y[1] (numeric) = 2.00489459263614 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43652774878685720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.90000000000018100E-2 " "
y[1] (analytic) = 2.0049045037912157 " "
y[1] (numeric) = 2.0049045037912108 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4365157039217240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.91000000000018100E-2 " "
y[1] (analytic) = 2.0049144249953312 " "
y[1] (numeric) = 2.004914424995327 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2150033154212890000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.92000000000018200E-2 " "
y[1] (analytic) = 2.0049243562485914 " "
y[1] (numeric) = 2.004924356248587 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21499234355652550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.93000000000018200E-2 " "
y[1] (analytic) = 2.004934297551095 " "
y[1] (numeric) = 2.0049342975510904 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21498136069840560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.94000000000018200E-2 " "
y[1] (analytic) = 2.004944248902942 " "
y[1] (numeric) = 2.004944248902937 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43646740353186180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.95000000000018200E-2 " "
y[1] (analytic) = 2.0049542103042306 " "
y[1] (numeric) = 2.004954210304226 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21495936200296950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.96000000000018200E-2 " "
y[1] (analytic) = 2.004964181755062 " "
y[1] (numeric) = 2.0049641817550574 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2149483461660920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.97000000000018300E-2 " "
y[1] (analytic) = 2.004974163255535 " "
y[1] (numeric) = 2.0049741632555307 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2149373193367340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.98000000000018300E-2 " "
y[1] (analytic) = 2.00498415480575 " "
y[1] (numeric) = 2.0049841548057454 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21492628151511520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.99000000000018300E-2 " "
y[1] (analytic) = 2.004994156405806 " "
y[1] (numeric) = 2.0049941564058016 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21491523270145650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10000000000000184 " "
y[1] (analytic) = 2.0050041680558035 " "
y[1] (numeric) = 2.0050041680557995 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99341375560637940000000000000E-13 "%"
h = 1.0000E-4 " "
"Finished!"
"Maximum Iterations Reached before Solution Completed!"
"diff ( y , x , 1 ) = sinh ( x ) ;"
Iterations = 1000
"Total Elapsed Time "= 10 Minutes 22 Seconds
"Elapsed Time(since restart) "= 10 Minutes 22 Seconds
"Expected Time Remaining "= 17 Hours 5 Minutes 34 Seconds
"Optimized Time Remaining "= 17 Hours 5 Minutes 20 Seconds
"Time to Timeout "= 4 Minutes 37 Seconds
Percent Done = 1.0010000000000185 "%"
(%o51) true
(%o51) diffeq.max