(%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_a1 : sin(array_x ),
1 1
array_tmp1_a1
1
array_tmp1_a2 : cos(array_x ), array_tmp1 : --------------,
1 1 1 array_tmp1_a2
1
array_tmp2 : array_tmp1 + array_const_0D0 ,
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_a1 : att(1, array_tmp1_a2, array_x, 1),
2
array_tmp1_a2 : - att(1, array_tmp1_a1, array_x, 1),
2
array_tmp1_a1 - ats(2, array_tmp1_a2, array_tmp1, 2)
2
array_tmp1 : -----------------------------------------------------,
2 array_tmp1_a2
1
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_a1 : att(2, array_tmp1_a2, array_x, 1),
3
array_tmp1_a2 : - att(2, array_tmp1_a1, array_x, 1),
3
array_tmp1_a1 - ats(3, array_tmp1_a2, array_tmp1, 2)
3
array_tmp1 : -----------------------------------------------------,
3 array_tmp1_a2
1
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_a1 : att(3, array_tmp1_a2, array_x, 1),
4
array_tmp1_a2 : - att(3, array_tmp1_a1, array_x, 1),
4
array_tmp1_a1 - ats(4, array_tmp1_a2, array_tmp1, 2)
4
array_tmp1 : -----------------------------------------------------,
4 array_tmp1_a2
1
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_a1 : att(4, array_tmp1_a2, array_x, 1),
5
array_tmp1_a2 : - att(4, array_tmp1_a1, array_x, 1),
5
array_tmp1_a1 - ats(5, array_tmp1_a2, array_tmp1, 2)
5
array_tmp1 : -----------------------------------------------------,
5 array_tmp1_a2
1
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_a1 :
kkk
att(kkk - 1, array_tmp1_a2, array_x, 1),
array_tmp1_a2 : - att(kkk - 1, array_tmp1_a1, array_x, 1),
kkk
array_tmp1_a1 - ats(kkk, array_tmp1_a2, array_tmp1, 2)
kkk
array_tmp1 : ---------------------------------------------------------,
kkk array_tmp1_a2
1
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_a1 : sin(array_x ),
1 1
array_tmp1_a1
1
array_tmp1_a2 : cos(array_x ), array_tmp1 : --------------,
1 1 1 array_tmp1_a2
1
array_tmp2 : array_tmp1 + array_const_0D0 ,
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_a1 : att(1, array_tmp1_a2, array_x, 1),
2
array_tmp1_a2 : - att(1, array_tmp1_a1, array_x, 1),
2
array_tmp1_a1 - ats(2, array_tmp1_a2, array_tmp1, 2)
2
array_tmp1 : -----------------------------------------------------,
2 array_tmp1_a2
1
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_a1 : att(2, array_tmp1_a2, array_x, 1),
3
array_tmp1_a2 : - att(2, array_tmp1_a1, array_x, 1),
3
array_tmp1_a1 - ats(3, array_tmp1_a2, array_tmp1, 2)
3
array_tmp1 : -----------------------------------------------------,
3 array_tmp1_a2
1
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_a1 : att(3, array_tmp1_a2, array_x, 1),
4
array_tmp1_a2 : - att(3, array_tmp1_a1, array_x, 1),
4
array_tmp1_a1 - ats(4, array_tmp1_a2, array_tmp1, 2)
4
array_tmp1 : -----------------------------------------------------,
4 array_tmp1_a2
1
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_a1 : att(4, array_tmp1_a2, array_x, 1),
5
array_tmp1_a2 : - att(4, array_tmp1_a1, array_x, 1),
5
array_tmp1_a1 - ats(5, array_tmp1_a2, array_tmp1, 2)
5
array_tmp1 : -----------------------------------------------------,
5 array_tmp1_a2
1
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_a1 :
kkk
att(kkk - 1, array_tmp1_a2, array_x, 1),
array_tmp1_a2 : - att(kkk - 1, array_tmp1_a1, array_x, 1),
kkk
array_tmp1_a1 - ats(kkk, array_tmp1_a2, array_tmp1, 2)
kkk
array_tmp1 : ---------------------------------------------------------,
kkk array_tmp1_a2
1
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) := 2.0 - log(abs(cos(x)))
(%o49) exact_soln_y(x) := 2.0 - log(abs(cos(x)))
(%i50) mainprog() := (define_variable(glob_max_terms, 30, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(INFO, 2, fixnum),
define_variable(glob_iolevel, 5, fixnum),
define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(min_in_hour, 60.0, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_hmax, 1.0, float),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_warned, false, boolean),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(hours_in_day, 24.0, float),
define_variable(djd_debug, true, boolean),
define_variable(glob_html_log, true, boolean),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_normmax, 0.0, float),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_h, 0.1, float), define_variable(glob_not_yet_finished,
true, boolean), define_variable(glob_clock_start_sec, 0.0, float),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_start, 0, fixnum),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(days_in_year, 365.0, float),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_warned2, false, boolean),
define_variable(years_in_century, 100.0, float),
define_variable(glob_dump, false, boolean), 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/tanpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = tan ( 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 : 5.0 ,"),
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, "2.0 - log(abs(cos((x))))"), 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_1st_rel_error, 1 + max_terms),
array(array_type_pole, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_y_init, 1 + max_terms), array(array_tmp1_a1, 1 + max_terms),
array(array_tmp1_a2, 1 + max_terms), array(array_last_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_pole, 1 + max_terms),
array(array_y, 1 + max_terms), array(array_x, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 2,
1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_poles, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3),
array(array_y_set_initial, 1 + 2, 1 + max_terms), term : 1,
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_type_pole : 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_y_init : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1_a1 : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_tmp1_a2 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp2 : 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_y : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term),
term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_real_pole : 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_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_higher_work2 : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <=
3 do (array_complex_pole : 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), array(array_tmp1_a2, 1 + 1 + max_terms),
term : 1, while term <= 1 + max_terms do (array_tmp1_a2 : 0.0,
term
term : 1 + term), array(array_tmp1_a1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_a1 : 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_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_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 : 5.0,
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 ) = tan ( 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,
"2012-06-13T20:05:16-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "tan"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = tan ( 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, "tan diffeq.max"),
logitem_str(html_log_file,
"tan 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(glob_max_terms, 30, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(INFO, 2, fixnum),
define_variable(glob_iolevel, 5, fixnum),
define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(DEBUGL, 3, fixnum),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(min_in_hour, 60.0, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_hmax, 1.0, float),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_warned, false, boolean),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(hours_in_day, 24.0, float),
define_variable(djd_debug, true, boolean),
define_variable(glob_html_log, true, boolean),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_normmax, 0.0, float),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_h, 0.1, float), define_variable(glob_not_yet_finished,
true, boolean), define_variable(glob_clock_start_sec, 0.0, float),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_start, 0, fixnum),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(days_in_year, 365.0, float),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_warned2, false, boolean),
define_variable(years_in_century, 100.0, float),
define_variable(glob_dump, false, boolean), 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/tanpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = tan ( 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 : 5.0 ,"),
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, "2.0 - log(abs(cos((x))))"), 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_1st_rel_error, 1 + max_terms),
array(array_type_pole, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_y_init, 1 + max_terms), array(array_tmp1_a1, 1 + max_terms),
array(array_tmp1_a2, 1 + max_terms), array(array_last_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_pole, 1 + max_terms),
array(array_y, 1 + max_terms), array(array_x, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 2,
1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_poles, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3),
array(array_y_set_initial, 1 + 2, 1 + max_terms), term : 1,
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_type_pole : 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_y_init : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1_a1 : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_tmp1_a2 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp2 : 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_y : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term),
term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_real_pole : 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_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_higher_work2 : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 1 do (term : 1, while term <=
3 do (array_complex_pole : 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), array(array_tmp1_a2, 1 + 1 + max_terms),
term : 1, while term <= 1 + max_terms do (array_tmp1_a2 : 0.0,
term
term : 1 + term), array(array_tmp1_a1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_a1 : 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_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_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 : 5.0,
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 ) = tan ( 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,
"2012-06-13T20:05:16-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "tan"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = tan ( 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, "tan diffeq.max"),
logitem_str(html_log_file,
"tan 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/tanpostode.ode#################"
"diff ( y , x , 1 ) = tan ( x ) ;"
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits : 32,"
"max_terms : 30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start : 0.0,"
"x_end : 5.0 ,"
"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) := ("
"2.0 - log(abs(cos((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) = 2.0000000450000006 " "
y[1] (numeric) = 2.0000000450000006 " "
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) = 2.000000080000002 " "
y[1] (numeric) = 2.000000080000002 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.0000E-4 " "
y[1] (analytic) = 2.000000125000005 " "
y[1] (numeric) = 2.0000001250000055 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220445910472438000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0000000000000010000E-4 " "
y[1] (analytic) = 2.000000180000011 " "
y[1] (numeric) = 2.000000180000011 " "
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) = 2.00000024500002 " "
y[1] (numeric) = 2.0000002450000203 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220445777245683400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.0000000000000020000E-4 " "
y[1] (analytic) = 2.000000320000034 " "
y[1] (numeric) = 2.0000003200000345 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220445693978964400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.0000000000000020000E-4 " "
y[1] (analytic) = 2.000000405000055 " "
y[1] (numeric) = 2.000000405000055 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.0000000000000002000E-3 " "
y[1] (analytic) = 2.000000500000083 " "
y[1] (numeric) = 2.0000005000000836 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220445494138847400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.1000000000000003000E-3 " "
y[1] (analytic) = 2.000000605000122 " "
y[1] (numeric) = 2.0000006050001224 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220445377565451000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.2000000000000004000E-3 " "
y[1] (analytic) = 2.000000720000173 " "
y[1] (numeric) = 2.0000007200001733 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220445249889831400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.3000000000000003000E-3 " "
y[1] (analytic) = 2.000000845000238 " "
y[1] (numeric) = 2.0000008450002387 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44089022222397930000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.4000000000000004000E-3 " "
y[1] (analytic) = 2.00000098000032 " "
y[1] (numeric) = 2.000000980000321 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440889922463854000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.5000000000000005000E-3 " "
y[1] (analytic) = 2.0000011250004217 " "
y[1] (numeric) = 2.0000011250004226 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440889600499290000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.6000000000000006000E-3 " "
y[1] (analytic) = 2.000001280000546 " "
y[1] (numeric) = 2.000001280000547 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.4408892563302900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.7000000000000007000E-3 " "
y[1] (analytic) = 2.000001445000696 " "
y[1] (numeric) = 2.000001445000697 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44088888995685770000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.8000000000000005000E-3 " "
y[1] (analytic) = 2.000001620000875 " "
y[1] (numeric) = 2.0000016200008757 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44088850137899800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.9000000000000006000E-3 " "
y[1] (analytic) = 2.000001805001086 " "
y[1] (numeric) = 2.000001805001087 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44088809059671350000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.0000000000000004000E-3 " "
y[1] (analytic) = 2.0000020000013334 " "
y[1] (numeric) = 2.0000020000013343 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44088765761000800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.1000000000000002000E-3 " "
y[1] (analytic) = 2.000002205001621 " "
y[1] (numeric) = 2.0000022050016217 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440887202418886700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.2000E-3 " "
y[1] (analytic) = 2.000002420001952 " "
y[1] (numeric) = 2.000002420001953 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440886725023354700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.3000E-3 " "
y[1] (analytic) = 2.000002645002332 " "
y[1] (numeric) = 2.0000026450023327 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440886225423415500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.4000E-3 " "
y[1] (analytic) = 2.0000028800027647 " "
y[1] (numeric) = 2.0000028800027656 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44088570361907400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.4999999999999997000E-3 " "
y[1] (analytic) = 2.0000031250032553 " "
y[1] (numeric) = 2.000003125003256 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440885159610336600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5999999999999995000E-3 " "
y[1] (analytic) = 2.000003380003808 " "
y[1] (numeric) = 2.0000033800038093 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66132689009581100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.6999999999999990000E-3 " "
y[1] (analytic) = 2.000003645004429 " "
y[1] (numeric) = 2.00000364500443 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44088400497969300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.799999999999999000E-3 " "
y[1] (analytic) = 2.0000039200051223 " "
y[1] (numeric) = 2.000003920005123 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440883394357799700000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.899999999999998700E-3 " "
y[1] (analytic) = 2.000004205005894 " "
y[1] (numeric) = 2.000004205005895 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440882761531532000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.9999999999999990000E-3 " "
y[1] (analytic) = 2.00000450000675 " "
y[1] (numeric) = 2.0000045000067512 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66132315975134800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.0999999999999983000E-3 " "
y[1] (analytic) = 2.000004805007696 " "
y[1] (numeric) = 2.000004805007697 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440881429265904000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.1999999999999984000E-3 " "
y[1] (analytic) = 2.0000051200087383 " "
y[1] (numeric) = 2.000005120008739 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44088072982655460000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.2999999999999985000E-3 " "
y[1] (analytic) = 2.0000054450098825 " "
y[1] (numeric) = 2.000005445009884 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6613200122742910000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.399999999999998000E-3 " "
y[1] (analytic) = 2.0000057800111364 " "
y[1] (numeric) = 2.0000057800111373 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44087926433482500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.499999999999998000E-3 " "
y[1] (analytic) = 2.000006125012505 " "
y[1] (numeric) = 2.0000061250125065 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66131774742368700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.5999999999999976000E-3 " "
y[1] (analytic) = 2.000006480013997 " "
y[1] (numeric) = 2.0000064800139983 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6613165650386500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.6999999999999980000E-3 " "
y[1] (analytic) = 2.000006845015618 " "
y[1] (numeric) = 2.0000068450156196 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88175379912951700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.7999999999999970000E-3 " "
y[1] (analytic) = 2.0000072200173764 " "
y[1] (numeric) = 2.0000072200173777 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66131410034916300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.8999999999999974000E-3 " "
y[1] (analytic) = 2.0000076050192788 " "
y[1] (numeric) = 2.00000760501928 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66131281804473800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.9999999999999974000E-3 " "
y[1] (analytic) = 2.0000080000213334 " "
y[1] (numeric) = 2.0000080000213347 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66131150243387500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.099999999999997500E-3 " "
y[1] (analytic) = 2.0000084050235483 " "
y[1] (numeric) = 2.0000084050235496 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66131015351658900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.199999999999998000E-3 " "
y[1] (analytic) = 2.000008820025931 " "
y[1] (numeric) = 2.0000088200259323 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6613087712928900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.299999999999998000E-3 " "
y[1] (analytic) = 2.0000092450284903 " "
y[1] (numeric) = 2.0000092450284916 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66130735576279600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.3999999999999984000E-3 " "
y[1] (analytic) = 2.0000096800312344 " "
y[1] (numeric) = 2.0000096800312357 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66130590692631900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.499999999999999000E-3 " "
y[1] (analytic) = 2.000010125034172 " "
y[1] (numeric) = 2.0000101250341733 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66130442478347400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.599999999999999000E-3 " "
y[1] (analytic) = 2.0000105800373125 " "
y[1] (numeric) = 2.000010580037314 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66130290933427300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.699999999999999000E-3 " "
y[1] (analytic) = 2.0000110450406643 " "
y[1] (numeric) = 2.0000110450406656 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66130136057873600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.8000E-3 " "
y[1] (analytic) = 2.000011520044237 " "
y[1] (numeric) = 2.0000115200442385 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66129977851687600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9000E-3 " "
y[1] (analytic) = 2.00001200504804 " "
y[1] (numeric) = 2.000012005048042 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8817308841982800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.000E-3 " "
y[1] (analytic) = 2.0000125000520836 " "
y[1] (numeric) = 2.0000125000520854 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88172868596566900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.1000E-3 " "
y[1] (analytic) = 2.000013005056377 " "
y[1] (numeric) = 2.000013005056379 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88172644332469100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.200000000000000000E-3 " "
y[1] (analytic) = 2.0000135200609304 " "
y[1] (numeric) = 2.0000135200609326 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11021551953442170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.300000000000001000E-3 " "
y[1] (analytic) = 2.0000140450657544 " "
y[1] (numeric) = 2.0000140450657566 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11021522810221640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.400000000000001000E-3 " "
y[1] (analytic) = 2.0000145800708595 " "
y[1] (numeric) = 2.0000145800708613 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88171944895179300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.500000000000002000E-3 " "
y[1] (analytic) = 2.000015125076256 " "
y[1] (numeric) = 2.0000151250762577 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88171702867758200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.600000000000002000E-3 " "
y[1] (analytic) = 2.0000156800819546 " "
y[1] (numeric) = 2.000015680081957 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11021432049939010000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.700000000000002000E-3 " "
y[1] (analytic) = 2.0000162450879673 " "
y[1] (numeric) = 2.0000162450879695 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11021400686305460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.800000000000002000E-3 " "
y[1] (analytic) = 2.000016820094305 " "
y[1] (numeric) = 2.000016820094307 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11021368767569380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.9000000000000030000E-3 " "
y[1] (analytic) = 2.000017405100979 " "
y[1] (numeric) = 2.000017405100981 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88170690349849100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.000000000000003000E-3 " "
y[1] (analytic) = 2.000018000108001 " "
y[1] (numeric) = 2.000018000108003 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88170426118328500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.100000000000003000E-3 " "
y[1] (analytic) = 2.000018605115383 " "
y[1] (numeric) = 2.0000186051153848 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88170157445995700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.200000000000003000E-3 " "
y[1] (analytic) = 2.0000192201231375 " "
y[1] (numeric) = 2.000019220123139 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66127413249639900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3000000000000030000E-3 " "
y[1] (analytic) = 2.000019845131276 " "
y[1] (numeric) = 2.0000198451312774 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66127205084178200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.400000000000003000E-3 " "
y[1] (analytic) = 2.0000204801398116 " "
y[1] (numeric) = 2.000020480139813 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66126993588113400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.500000000000004000E-3 " "
y[1] (analytic) = 2.000021125148757 " "
y[1] (numeric) = 2.0000211251487583 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66126778761447800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.600000000000005000E-3 " "
y[1] (analytic) = 2.0000217801581246 " "
y[1] (numeric) = 2.000021780158126 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66126560604183500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7000000000000050000E-3 " "
y[1] (analytic) = 2.000022445167928 " "
y[1] (numeric) = 2.000022445167929 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66126339116322700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.800000000000005000E-3 " "
y[1] (analytic) = 2.0000231201781804 " "
y[1] (numeric) = 2.0000231201781813 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440840761985782600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.900000000000005000E-3 " "
y[1] (analytic) = 2.000023805188895 " "
y[1] (numeric) = 2.000023805188896 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440839240992134000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.000000000000005000E-3 " "
y[1] (analytic) = 2.000024500200086 " "
y[1] (numeric) = 2.000024500200087 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44083769779455300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.100000000000005000E-3 " "
y[1] (analytic) = 2.0000252052117666 " "
y[1] (numeric) = 2.000025205211768 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66125419858958700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.200000000000006000E-3 " "
y[1] (analytic) = 2.000025920223952 " "
y[1] (numeric) = 2.000025920223953 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440834544787658500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.300000000000006000E-3 " "
y[1] (analytic) = 2.0000266452366553 " "
y[1] (numeric) = 2.0000266452366566 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66124940246756400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.400000000000007000E-3 " "
y[1] (analytic) = 2.000027380249892 " "
y[1] (numeric) = 2.000027380249893 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66124695444783700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.500000000000007000E-3 " "
y[1] (analytic) = 2.000028125263676 " "
y[1] (numeric) = 2.000028125263677 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66124447312233200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.600000000000007000E-3 " "
y[1] (analytic) = 2.0000288802780224 " "
y[1] (numeric) = 2.0000288802780237 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66124195849107200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.700000000000007000E-3 " "
y[1] (analytic) = 2.0000296452929467 " "
y[1] (numeric) = 2.000029645292948 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66123941055408200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.8000000000000070000E-3 " "
y[1] (analytic) = 2.000030420308464 " "
y[1] (numeric) = 2.000030420308465 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6612368293113900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.900000000000008000E-3 " "
y[1] (analytic) = 2.0000312053245892 " "
y[1] (numeric) = 2.0000312053245906 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66123421476302100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.000000000000007000E-3 " "
y[1] (analytic) = 2.000032000341339 " "
y[1] (numeric) = 2.0000320003413403 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66123156690899900000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.100000000000006000E-3 " "
y[1] (analytic) = 2.000032805358729 " "
y[1] (numeric) = 2.00003280535873 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44081925716623470000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.200000000000006000E-3 " "
y[1] (analytic) = 2.000033620376775 " "
y[1] (numeric) = 2.000033620376776 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44081744752273900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.300000000000005000E-3 " "
y[1] (analytic) = 2.0000344453954932 " "
y[1] (numeric) = 2.000034445395494 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44081561567552900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.400000000000005000E-3 " "
y[1] (analytic) = 2.0000352804149006 " "
y[1] (numeric) = 2.0000352804149015 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44081376162462300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.500000000000004000E-3 " "
y[1] (analytic) = 2.0000361254350136 " "
y[1] (numeric) = 2.0000361254350145 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.4408118853700400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.600000000000003000E-3 " "
y[1] (analytic) = 2.000036980455849 " "
y[1] (numeric) = 2.00003698045585 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440809986911798400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.700000000000003000E-3 " "
y[1] (analytic) = 2.0000378454774244 " "
y[1] (numeric) = 2.0000378454774252 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44080806624991700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.800000000000002000E-3 " "
y[1] (analytic) = 2.0000387204997563 " "
y[1] (numeric) = 2.000038720499757 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44080612338441700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.900000000000001000E-3 " "
y[1] (analytic) = 2.000039605522863 " "
y[1] (numeric) = 2.000039605522864 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440804158315314600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.000000000000001000E-3 " "
y[1] (analytic) = 2.000040500546762 " "
y[1] (numeric) = 2.0000405005467625 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.220401085521315800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1000E-3 " "
y[1] (analytic) = 2.0000414055714706 " "
y[1] (numeric) = 2.0000414055714715 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44080016156638800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.2000E-3 " "
y[1] (analytic) = 2.0000423205970077 " "
y[1] (numeric) = 2.0000423205970086 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440798129886603000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.3000E-3 " "
y[1] (analytic) = 2.000043245623391 " "
y[1] (numeric) = 2.000043245623392 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44079607600329600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.399999999999998000E-3 " "
y[1] (analytic) = 2.0000441806506393 " "
y[1] (numeric) = 2.0000441806506406 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66119099987473500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.499999999999998000E-3 " "
y[1] (analytic) = 2.0000451256787715 " "
y[1] (numeric) = 2.000045125678773 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66118785243930600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.599999999999997000E-3 " "
y[1] (analytic) = 2.0000460807078064 " "
y[1] (numeric) = 2.0000460807078073 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440789781132459000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.699999999999996000E-3 " "
y[1] (analytic) = 2.0000470457377624 " "
y[1] (numeric) = 2.0000470457377637 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66118145765291700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.799999999999996000E-3 " "
y[1] (analytic) = 2.0000480207686597 " "
y[1] (numeric) = 2.000048020768661 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6611782103020200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.899999999999995000E-3 " "
y[1] (analytic) = 2.0000490058005176 " "
y[1] (numeric) = 2.000049005800519 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66117492964603100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.999999999999996000E-3 " "
y[1] (analytic) = 2.0000500008333555 " "
y[1] (numeric) = 2.000050000833357 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66117161568498500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.009999999999999500E-2 " "
y[1] (analytic) = 2.0000510058671934 " "
y[1] (numeric) = 2.0000510058671948 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66116826841891300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.019999999999999400E-2 " "
y[1] (analytic) = 2.000052020902052 " "
y[1] (numeric) = 2.000052020902053 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66116488784784800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.029999999999999200E-2 " "
y[1] (analytic) = 2.0000530459379506 " "
y[1] (numeric) = 2.000053045937952 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66116147397182600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.039999999999999300E-2 " "
y[1] (analytic) = 2.0000540809749103 " "
y[1] (numeric) = 2.0000540809749117 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66115802679087900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.049999999999999300E-2 " "
y[1] (analytic) = 2.0000551260129518 " "
y[1] (numeric) = 2.000055126012953 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66115454630504300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.059999999999999100E-2 " "
y[1] (analytic) = 2.000056181052096 " "
y[1] (numeric) = 2.000056181052097 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66115103251435100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.06999999999999900E-2 " "
y[1] (analytic) = 2.0000572460923633 " "
y[1] (numeric) = 2.0000572460923647 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66114748541884100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.07999999999999900E-2 " "
y[1] (analytic) = 2.000058321133776 " "
y[1] (numeric) = 2.0000583211337775 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66114390501854500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.08999999999999900E-2 " "
y[1] (analytic) = 2.0000594061763555 " "
y[1] (numeric) = 2.000059406176357 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66114029131350200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.099999999999998900E-2 " "
y[1] (analytic) = 2.0000605012201227 " "
y[1] (numeric) = 2.000060501220124 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66113664430374800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.109999999999998800E-2 " "
y[1] (analytic) = 2.0000616062651004 " "
y[1] (numeric) = 2.0000616062651018 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66113296398931500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.119999999999998800E-2 " "
y[1] (analytic) = 2.00006272131131 " "
y[1] (numeric) = 2.0000627213113114 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66112925037024500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.129999999999998800E-2 " "
y[1] (analytic) = 2.000063846358774 " "
y[1] (numeric) = 2.0000638463587754 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66112550344657200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.139999999999998700E-2 " "
y[1] (analytic) = 2.0000649814075158 " "
y[1] (numeric) = 2.0000649814075167 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.4407478154788904000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.149999999999998500E-2 " "
y[1] (analytic) = 2.0000661264575568 " "
y[1] (numeric) = 2.0000661264575577 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44074527312371400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.159999999999998500E-2 " "
y[1] (analytic) = 2.00006728150892 " "
y[1] (numeric) = 2.000067281508921 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44074270856554700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.169999999999998500E-2 " "
y[1] (analytic) = 2.0000684465616296 " "
y[1] (numeric) = 2.0000684465616305 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44074012180441200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.179999999999998400E-2 " "
y[1] (analytic) = 2.000069621615708 " "
y[1] (numeric) = 2.000069621615709 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440737512840336500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.189999999999998300E-2 " "
y[1] (analytic) = 2.000070806671179 " "
y[1] (numeric) = 2.00007080667118 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44073488167334550000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.199999999999998300E-2 " "
y[1] (analytic) = 2.0000720017280664 " "
y[1] (numeric) = 2.0000720017280673 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44073222830346700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.209999999999998300E-2 " "
y[1] (analytic) = 2.0000732067863938 " "
y[1] (numeric) = 2.0000732067863947 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44072955273072670000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.219999999999998200E-2 " "
y[1] (analytic) = 2.0000744218461852 " "
y[1] (numeric) = 2.000074421846186 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44072685495515100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.229999999999998000E-2 " "
y[1] (analytic) = 2.0000756469074656 " "
y[1] (numeric) = 2.0000756469074665 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44072413497676700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.23999999999999800E-2 " "
y[1] (analytic) = 2.000076881970259 " "
y[1] (numeric) = 2.00007688197026 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.440721392795602000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.24999999999999800E-2 " "
y[1] (analytic) = 2.0000781270345898 " "
y[1] (numeric) = 2.000078127034591 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66107794261752500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.25999999999999780E-2 " "
y[1] (analytic) = 2.0000793821004836 " "
y[1] (numeric) = 2.000079382100485 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66107376273755800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.269999999999997800E-2 " "
y[1] (analytic) = 2.0000806471679655 " "
y[1] (numeric) = 2.0000806471679664 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.44071303303569530000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.279999999999997800E-2 " "
y[1] (analytic) = 2.00008192223706 " "
y[1] (numeric) = 2.000081922237061 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66106530306552400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.289999999999997800E-2 " "
y[1] (analytic) = 2.000083207307793 " "
y[1] (numeric) = 2.0000832073077945 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66106102327354300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.299999999999997800E-2 " "
y[1] (analytic) = 2.0000845023801905 " "
y[1] (numeric) = 2.000084502380192 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66105671017764200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.309999999999997600E-2 " "
y[1] (analytic) = 2.0000858074542784 " "
y[1] (numeric) = 2.0000858074542798 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66105236377786400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.319999999999997600E-2 " "
y[1] (analytic) = 2.0000871225300823 " "
y[1] (numeric) = 2.000087122530084 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88139731209900400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.329999999999997600E-2 " "
y[1] (analytic) = 2.000088447607629 " "
y[1] (numeric) = 2.000088447607631 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88139142808913600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.339999999999997300E-2 " "
y[1] (analytic) = 2.0000897826869446 " "
y[1] (numeric) = 2.000089782686947 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11017318745928460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.349999999999997300E-2 " "
y[1] (analytic) = 2.0000911277680564 " "
y[1] (numeric) = 2.0000911277680586 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.110172440856810000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.359999999999997300E-2 " "
y[1] (analytic) = 2.0000924828509907 " "
y[1] (numeric) = 2.000092482850993 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11017168870372620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.369999999999997300E-2 " "
y[1] (analytic) = 2.000093847935775 " "
y[1] (numeric) = 2.0000938479357773 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11017093100004060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.379999999999997300E-2 " "
y[1] (analytic) = 2.0000952230224365 " "
y[1] (numeric) = 2.0000952230224387 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11017016774576070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.389999999999997000E-2 " "
y[1] (analytic) = 2.0000966081110025 " "
y[1] (numeric) = 2.0000966081110048 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11016939894089420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.39999999999999700E-2 " "
y[1] (analytic) = 2.0000980032015008 " "
y[1] (numeric) = 2.000098003201503 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1101686245854490000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.40999999999999700E-2 " "
y[1] (analytic) = 2.000099408293959 " "
y[1] (numeric) = 2.000099408293962 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3322014136153190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.41999999999999680E-2 " "
y[1] (analytic) = 2.0001008233884066 " "
y[1] (numeric) = 2.0001008233884088 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11016705922285240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.429999999999996800E-2 " "
y[1] (analytic) = 2.00010224848487 " "
y[1] (numeric) = 2.0001022484848723 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1101662682157170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.439999999999996800E-2 " "
y[1] (analytic) = 2.000103683583379 " "
y[1] (numeric) = 2.000103683583381 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1101654716580340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.449999999999996800E-2 " "
y[1] (analytic) = 2.0001051286839617 " "
y[1] (numeric) = 2.000105128683964 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11016466954981130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.459999999999996900E-2 " "
y[1] (analytic) = 2.000106583786647 " "
y[1] (numeric) = 2.0001065837866494 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1101638618910570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.469999999999996600E-2 " "
y[1] (analytic) = 2.000108048891465 " "
y[1] (numeric) = 2.000108048891467 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8813043894542300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.479999999999996600E-2 " "
y[1] (analytic) = 2.000109523998444 " "
y[1] (numeric) = 2.0001095239984457 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88129783937588300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.489999999999996600E-2 " "
y[1] (analytic) = 2.0001110091076133 " "
y[1] (numeric) = 2.000111009107615 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88129124489347800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.499999999999996300E-2 " "
y[1] (analytic) = 2.000112504219003 " "
y[1] (numeric) = 2.000112504219005 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8812846060070800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.509999999999996300E-2 " "
y[1] (analytic) = 2.0001140093326435 " "
y[1] (numeric) = 2.0001140093326453 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88127792271675700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.519999999999996400E-2 " "
y[1] (analytic) = 2.000115524448564 " "
y[1] (numeric) = 2.000115524448566 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88127119502257500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.529999999999996400E-2 " "
y[1] (analytic) = 2.000117049566796 " "
y[1] (numeric) = 2.0001170495667977 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.881264422924600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.539999999999996400E-2 " "
y[1] (analytic) = 2.000118584687369 " "
y[1] (numeric) = 2.0001185846873706 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88125760642290200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.549999999999996000E-2 " "
y[1] (analytic) = 2.0001201298103135 " "
y[1] (numeric) = 2.0001201298103153 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88125074551754900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.559999999999996000E-2 " "
y[1] (analytic) = 2.000121684935661 " "
y[1] (numeric) = 2.000121684935663 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8812438402086090000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.56999999999999600E-2 " "
y[1] (analytic) = 2.0001232500634427 " "
y[1] (numeric) = 2.0001232500634445 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88123689049615000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.57999999999999590E-2 " "
y[1] (analytic) = 2.00012482519369 " "
y[1] (numeric) = 2.0001248251936916 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88122989638024300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.58999999999999590E-2 " "
y[1] (analytic) = 2.000126410326434 " "
y[1] (numeric) = 2.0001264103264353 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66091714339571700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.59999999999999600E-2 " "
y[1] (analytic) = 2.0001280054617063 " "
y[1] (numeric) = 2.0001280054617077 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6609118312037710000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.609999999999996000E-2 " "
y[1] (analytic) = 2.000129610599539 " "
y[1] (numeric) = 2.0001296105995405 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66090648570939500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.619999999999996000E-2 " "
y[1] (analytic) = 2.0001312257399646 " "
y[1] (numeric) = 2.000131225739966 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66090110691264700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.629999999999995600E-2 " "
y[1] (analytic) = 2.000132850883015 " "
y[1] (numeric) = 2.0001328508830163 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66089569481357700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.639999999999995600E-2 " "
y[1] (analytic) = 2.0001344860287227 " "
y[1] (numeric) = 2.000134486028724 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66089024941223900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.649999999999995600E-2 " "
y[1] (analytic) = 2.00013613117712 " "
y[1] (numeric) = 2.000136131177122 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88117969427825300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.659999999999995400E-2 " "
y[1] (analytic) = 2.0001377863282412 " "
y[1] (numeric) = 2.0001377863282426 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66087925870298200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.669999999999995400E-2 " "
y[1] (analytic) = 2.0001394514821182 " "
y[1] (numeric) = 2.0001394514821196 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66087371339517100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.679999999999995400E-2 " "
y[1] (analytic) = 2.0001411266387845 " "
y[1] (numeric) = 2.000141126638786 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66086813478531500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.689999999999995400E-2 " "
y[1] (analytic) = 2.000142811798274 " "
y[1] (numeric) = 2.000142811798275 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66086252287346500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.699999999999995400E-2 " "
y[1] (analytic) = 2.00014450696062 " "
y[1] (numeric) = 2.000144506960621 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66085687765968200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.709999999999995000E-2 " "
y[1] (analytic) = 2.0001462121258564 " "
y[1] (numeric) = 2.0001462121258577 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66085119914401900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.71999999999999510E-2 " "
y[1] (analytic) = 2.0001479272940177 " "
y[1] (numeric) = 2.000147927294019 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66084548732653400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.72999999999999520E-2 " "
y[1] (analytic) = 2.000149652465138 " "
y[1] (numeric) = 2.000149652465139 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66083974220728400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.73999999999999500E-2 " "
y[1] (analytic) = 2.0001513876392516 " "
y[1] (numeric) = 2.000151387639253 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66083396378632700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.74999999999999500E-2 " "
y[1] (analytic) = 2.0001531328163935 " "
y[1] (numeric) = 2.000153132816395 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6608281520637200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.75999999999999500E-2 " "
y[1] (analytic) = 2.0001548879965987 " "
y[1] (numeric) = 2.0001548879966 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66082230703952100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.76999999999999500E-2 " "
y[1] (analytic) = 2.000156653179902 " "
y[1] (numeric) = 2.0001566531799035 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66081642871378800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.779999999999995000E-2 " "
y[1] (analytic) = 2.000158428366339 " "
y[1] (numeric) = 2.0001584283663405 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66081051708658100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.789999999999994700E-2 " "
y[1] (analytic) = 2.000160213555945 " "
y[1] (numeric) = 2.0001602135559464 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66080457215795900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.799999999999994700E-2 " "
y[1] (analytic) = 2.000162008748756 " "
y[1] (numeric) = 2.0001620087487573 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.6607985939279800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.809999999999994700E-2 " "
y[1] (analytic) = 2.0001638139448077 " "
y[1] (numeric) = 2.000163813944809 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66079258239670500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.819999999999994400E-2 " "
y[1] (analytic) = 2.000165629144136 " "
y[1] (numeric) = 2.000165629144137 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66078653756419500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.829999999999994400E-2 " "
y[1] (analytic) = 2.0001674543467773 " "
y[1] (numeric) = 2.0001674543467787 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66078045943050900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.839999999999994400E-2 " "
y[1] (analytic) = 2.0001692895527685 " "
y[1] (numeric) = 2.00016928955277 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66077434799570700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.849999999999994400E-2 " "
y[1] (analytic) = 2.0001711347621463 " "
y[1] (numeric) = 2.0001711347621476 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66076820325985100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.859999999999994400E-2 " "
y[1] (analytic) = 2.000172989974947 " "
y[1] (numeric) = 2.0001729899749483 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66076202522300400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.869999999999994200E-2 " "
y[1] (analytic) = 2.0001748551912084 " "
y[1] (numeric) = 2.0001748551912097 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66075581388522400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.879999999999994200E-2 " "
y[1] (analytic) = 2.0001767304109674 " "
y[1] (numeric) = 2.0001767304109688 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66074956924657700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.88999999999999420E-2 " "
y[1] (analytic) = 2.000178615634262 " "
y[1] (numeric) = 2.000178615634263 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66074329130712300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.89999999999999400E-2 " "
y[1] (analytic) = 2.000180510861129 " "
y[1] (numeric) = 2.0001805108611306 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88098264008923600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.90999999999999400E-2 " "
y[1] (analytic) = 2.000182416091607 " "
y[1] (numeric) = 2.000182416091609 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88097418070139900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.91999999999999400E-2 " "
y[1] (analytic) = 2.0001843313257344 " "
y[1] (numeric) = 2.000184331325736 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88096567691273900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.92999999999999400E-2 " "
y[1] (analytic) = 2.0001862565635484 " "
y[1] (numeric) = 2.0001862565635506 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11011964109041800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.939999999999994000E-2 " "
y[1] (analytic) = 2.0001881918050888 " "
y[1] (numeric) = 2.000188191805091 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11011856701666190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.949999999999993700E-2 " "
y[1] (analytic) = 2.0001901370503936 " "
y[1] (numeric) = 2.000190137050396 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1101174873928349000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.959999999999993700E-2 " "
y[1] (analytic) = 2.000192092299502 " "
y[1] (numeric) = 2.0001920922995042 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1101164022189480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.969999999999993700E-2 " "
y[1] (analytic) = 2.000194057552453 " "
y[1] (numeric) = 2.0001940575524553 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11011531149501190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.979999999999993400E-2 " "
y[1] (analytic) = 2.000196032809286 " "
y[1] (numeric) = 2.000196032809288 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11011421522103750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.989999999999993400E-2 " "
y[1] (analytic) = 2.0001980180700403 " "
y[1] (numeric) = 2.0001980180700425 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1101131133970360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 1.999999999999993400E-2 " "
y[1] (analytic) = 2.000200013334756 " "
y[1] (numeric) = 2.000200013334758 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11011200602301780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.009999999999993500E-2 " "
y[1] (analytic) = 2.0002020186034724 " "
y[1] (numeric) = 2.0002020186034746 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11011089309899490000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.019999999999993500E-2 " "
y[1] (analytic) = 2.00020403387623 " "
y[1] (numeric) = 2.000204033876232 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11010977462497790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.029999999999993200E-2 " "
y[1] (analytic) = 2.0002060591530695 " "
y[1] (numeric) = 2.0002060591530713 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8808692048078210000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.039999999999993200E-2 " "
y[1] (analytic) = 2.0002080944340306 " "
y[1] (numeric) = 2.000208094434033 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11010752102700590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.04999999999999320E-2 " "
y[1] (analytic) = 2.000210139719155 " "
y[1] (numeric) = 2.0002101397191567 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8808510872245890000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.05999999999999300E-2 " "
y[1] (analytic) = 2.0002121950084826 " "
y[1] (numeric) = 2.0002121950084844 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88084196183354100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.06999999999999300E-2 " "
y[1] (analytic) = 2.000214260302055 " "
y[1] (numeric) = 2.000214260302057 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8808327920429900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.07999999999999300E-2 " "
y[1] (analytic) = 2.000216335599914 " "
y[1] (numeric) = 2.000216335599916 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8808235778530300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.08999999999999300E-2 " "
y[1] (analytic) = 2.0002184209021 " "
y[1] (numeric) = 2.0002184209021023 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11010178990796920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.09999999999999300E-2 " "
y[1] (analytic) = 2.0002205162086564 " "
y[1] (numeric) = 2.000220516208658 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88080501627524900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.109999999999992700E-2 " "
y[1] (analytic) = 2.0002226215196233 " "
y[1] (numeric) = 2.0002226215196255 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11009945861095210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.119999999999992700E-2 " "
y[1] (analytic) = 2.000224736835044 " "
y[1] (numeric) = 2.000224736835046 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1100982846376180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.129999999999992700E-2 " "
y[1] (analytic) = 2.0002268621549604 " "
y[1] (numeric) = 2.0002268621549626 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11009710511441570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.139999999999992500E-2 " "
y[1] (analytic) = 2.000228997479415 " "
y[1] (numeric) = 2.000228997479417 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11009592004135740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.149999999999992500E-2 " "
y[1] (analytic) = 2.0002311428084503 " "
y[1] (numeric) = 2.000231142808453 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33211367530214560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.159999999999992500E-2 " "
y[1] (analytic) = 2.00023329814211 " "
y[1] (numeric) = 2.0002332981421125 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33211223989486320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.169999999999992500E-2 " "
y[1] (analytic) = 2.0002354634804367 " "
y[1] (numeric) = 2.000235463480439 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11009233152316330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.179999999999992500E-2 " "
y[1] (analytic) = 2.0002376388234735 " "
y[1] (numeric) = 2.000237638823476 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33210934910095860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.189999999999992200E-2 " "
y[1] (analytic) = 2.0002398241712647 " "
y[1] (numeric) = 2.0002398241712673 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33210789371436540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.199999999999992200E-2 " "
y[1] (analytic) = 2.0002420195238533 " "
y[1] (numeric) = 2.000242019523856 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33210643166803060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.209999999999992200E-2 " "
y[1] (analytic) = 2.0002442248812833 " "
y[1] (numeric) = 2.000244224881286 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33210496296196970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.21999999999999200E-2 " "
y[1] (analytic) = 2.000246440243599 " "
y[1] (numeric) = 2.0002464402436018 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33210348759619680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.22999999999999200E-2 " "
y[1] (analytic) = 2.000248665610845 " "
y[1] (numeric) = 2.000248665610848 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33210200557072640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.23999999999999200E-2 " "
y[1] (analytic) = 2.000250900983066 " "
y[1] (numeric) = 2.0002509009830685 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33210051688557320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.24999999999999200E-2 " "
y[1] (analytic) = 2.0002531463603055 " "
y[1] (numeric) = 2.000253146360308 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33209902154075330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.25999999999999200E-2 " "
y[1] (analytic) = 2.0002554017426095 " "
y[1] (numeric) = 2.000255401742612 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33209751953628030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.269999999999991700E-2 " "
y[1] (analytic) = 2.0002576671300227 " "
y[1] (numeric) = 2.0002576671300254 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33209601087216970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.279999999999991800E-2 " "
y[1] (analytic) = 2.000259942522591 " "
y[1] (numeric) = 2.0002599425225935 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33209449554843680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.289999999999991800E-2 " "
y[1] (analytic) = 2.0002622279203592 " "
y[1] (numeric) = 2.000262227920362 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33209297356509630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.299999999999991500E-2 " "
y[1] (analytic) = 2.0002645233233736 " "
y[1] (numeric) = 2.0002645233233762 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33209144492216350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.309999999999991500E-2 " "
y[1] (analytic) = 2.0002668287316796 " "
y[1] (numeric) = 2.0002668287316823 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33208990961965420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.319999999999991500E-2 " "
y[1] (analytic) = 2.000269144145324 " "
y[1] (numeric) = 2.000269144145326 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11007363971465270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.329999999999991500E-2 " "
y[1] (analytic) = 2.0002714695643524 " "
y[1] (numeric) = 2.0002714695643546 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11007234919663860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.339999999999991500E-2 " "
y[1] (analytic) = 2.0002738049888116 " "
y[1] (numeric) = 2.000273804988814 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11007105312901550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.349999999999991300E-2 " "
y[1] (analytic) = 2.0002761504187485 " "
y[1] (numeric) = 2.0002761504187507 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11006975151179660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.359999999999991300E-2 " "
y[1] (analytic) = 2.0002785058542103 " "
y[1] (numeric) = 2.000278505854212 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88054755475995500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.369999999999991300E-2 " "
y[1] (analytic) = 2.0002808712952436 " "
y[1] (numeric) = 2.0002808712952453 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88053705302898100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.37999999999999100E-2 " "
y[1] (analytic) = 2.0002832467418954 " "
y[1] (numeric) = 2.0002832467418976 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11006581336269440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.38999999999999100E-2 " "
y[1] (analytic) = 2.0002856321942146 " "
y[1] (numeric) = 2.0002856321942164 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88051591637777600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.39999999999999100E-2 " "
y[1] (analytic) = 2.0002880276522474 " "
y[1] (numeric) = 2.0002880276522497 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11006316018221970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.40999999999999100E-2 " "
y[1] (analytic) = 2.0002904331160427 " "
y[1] (numeric) = 2.000290433116045 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11006182526770030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.41999999999999100E-2 " "
y[1] (analytic) = 2.0002928485856484 " "
y[1] (numeric) = 2.0002928485856506 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11006048480367710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.42999999999999080E-2 " "
y[1] (analytic) = 2.000295274061113 " "
y[1] (numeric) = 2.000295274061115 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11005913879016360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.439999999999990800E-2 " "
y[1] (analytic) = 2.0002977095424845 " "
y[1] (numeric) = 2.0002977095424868 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11005778722717320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.449999999999990800E-2 " "
y[1] (analytic) = 2.000300155029812 " "
y[1] (numeric) = 2.0003001550298145 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33206771613766340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.459999999999990500E-2 " "
y[1] (analytic) = 2.0003026105231445 " "
y[1] (numeric) = 2.000302610523147 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33206608094337930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.469999999999990500E-2 " "
y[1] (analytic) = 2.0003050760225314 " "
y[1] (numeric) = 2.0003050760225336 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11005369924147610000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.479999999999990500E-2 " "
y[1] (analytic) = 2.0003075515280213 " "
y[1] (numeric) = 2.0003075515280235 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1100523254807140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.489999999999990600E-2 " "
y[1] (analytic) = 2.000310037039664 " "
y[1] (numeric) = 2.0003100370396663 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11005094617054310000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.499999999999990600E-2 " "
y[1] (analytic) = 2.0003125325575097 " "
y[1] (numeric) = 2.000312532557512 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1100495613109770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.509999999999990600E-2 " "
y[1] (analytic) = 2.0003150380816077 " "
y[1] (numeric) = 2.0003150380816104 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3320578050824358000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.519999999999990000E-2 " "
y[1] (analytic) = 2.000317553612009 " "
y[1] (numeric) = 2.0003175536120112 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11004677494371540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.529999999999990000E-2 " "
y[1] (analytic) = 2.000320079148763 " "
y[1] (numeric) = 2.000320079148765 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11004537343604770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.539999999999990000E-2 " "
y[1] (analytic) = 2.0003226146919206 " "
y[1] (numeric) = 2.000322614691923 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11004396637904070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5499999999999900E-2 " "
y[1] (analytic) = 2.000325160241533 " "
y[1] (numeric) = 2.000325160241535 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88034043018166600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5599999999999900E-2 " "
y[1] (analytic) = 2.0003277157976505 " "
y[1] (numeric) = 2.0003277157976522 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88032908493651800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5699999999999900E-2 " "
y[1] (analytic) = 2.0003302813603243 " "
y[1] (numeric) = 2.000330281360326 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88031769529699500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5799999999999900E-2 " "
y[1] (analytic) = 2.000332856929606 " "
y[1] (numeric) = 2.000332856929608 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.8803062612632100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.5899999999999900E-2 " "
y[1] (analytic) = 2.0003354425055475 " "
y[1] (numeric) = 2.0003354425055493 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.88029478283527500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.599999999999990000E-2 " "
y[1] (analytic) = 2.0003380380881994 " "
y[1] (numeric) = 2.0003380380882017 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11003540750166390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.609999999999989600E-2 " "
y[1] (analytic) = 2.0003406436776148 " "
y[1] (numeric) = 2.000340643677617 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11003396159967830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.619999999999989600E-2 " "
y[1] (analytic) = 2.0003432592738455 " "
y[1] (numeric) = 2.0003432592738477 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11003251014846730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.629999999999989600E-2 " "
y[1] (analytic) = 2.0003458848769435 " "
y[1] (numeric) = 2.0003458848769458 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11003105314804580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.639999999999989600E-2 " "
y[1] (analytic) = 2.0003485204869618 " "
y[1] (numeric) = 2.000348520486964 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11002959059842780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.649999999999989600E-2 " "
y[1] (analytic) = 2.000351166103953 " "
y[1] (numeric) = 2.0003511661039552 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11002812249962820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.659999999999989600E-2 " "
y[1] (analytic) = 2.0003538217279697 " "
y[1] (numeric) = 2.000353821727972 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1100266488516620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.669999999999989600E-2 " "
y[1] (analytic) = 2.0003564873590656 " "
y[1] (numeric) = 2.000356487359068 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11002516965454340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.679999999999989000E-2 " "
y[1] (analytic) = 2.0003591629972934 " "
y[1] (numeric) = 2.000359162997296 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33202842188994470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.689999999999989000E-2 " "
y[1] (analytic) = 2.0003618486427075 " "
y[1] (numeric) = 2.00036184864271 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33202663353549050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.699999999999989000E-2 " "
y[1] (analytic) = 2.0003645442953615 " "
y[1] (numeric) = 2.0003645442953637 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.11002069876842190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.70999999999998900E-2 " "
y[1] (analytic) = 2.0003672499553082 " "
y[1] (numeric) = 2.000367249955311 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33202303684981150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.71999999999998900E-2 " "
y[1] (analytic) = 2.0003699656226033 " "
y[1] (numeric) = 2.000369965622606 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3320212285186230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.72999999999998900E-2 " "
y[1] (analytic) = 2.0003726912973003 " "
y[1] (numeric) = 2.000372691297303 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33201941352855930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.73999999999998900E-2 " "
y[1] (analytic) = 2.0003754269794536 " "
y[1] (numeric) = 2.0003754269794567 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55402052385957830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.74999999999998900E-2 " "
y[1] (analytic) = 2.000378172669119 " "
y[1] (numeric) = 2.0003781726691217 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33201576357187850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.75999999999998900E-2 " "
y[1] (analytic) = 2.00038092836635 " "
y[1] (numeric) = 2.000380928366353 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55401625003951470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.769999999999988600E-2 " "
y[1] (analytic) = 2.000383694071203 " "
y[1] (numeric) = 2.0003836940712056 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33201208697991540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.779999999999988600E-2 " "
y[1] (analytic) = 2.0003864697837326 " "
y[1] (numeric) = 2.0003864697837352 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33201023869574860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.789999999999988600E-2 " "
y[1] (analytic) = 2.0003892555039946 " "
y[1] (numeric) = 2.0003892555039973 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33200838375281650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.799999999999988600E-2 " "
y[1] (analytic) = 2.0003920512320446 " "
y[1] (numeric) = 2.000392051232047 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33200652215113740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.809999999999988600E-2 " "
y[1] (analytic) = 2.000394856967939 " "
y[1] (numeric) = 2.0003948569679415 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.332004653890730100000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.819999999999988600E-2 " "
y[1] (analytic) = 2.0003976727117334 " "
y[1] (numeric) = 2.000397672711736 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33200277897161270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.829999999999988600E-2 " "
y[1] (analytic) = 2.0004004984634847 " "
y[1] (numeric) = 2.0004004984634873 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33200089739380470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.839999999999988000E-2 " "
y[1] (analytic) = 2.000403334223249 " "
y[1] (numeric) = 2.0004033342232517 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33199900915732420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.849999999999988000E-2 " "
y[1] (analytic) = 2.0004061799910833 " "
y[1] (numeric) = 2.000406179991086 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33199711426219100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.859999999999988000E-2 " "
y[1] (analytic) = 2.0004090357670448 " "
y[1] (numeric) = 2.000409035767047 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10999601059035220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.869999999999988000E-2 " "
y[1] (analytic) = 2.00041190155119 " "
y[1] (numeric) = 2.0004119015511925 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33199330449603970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.87999999999998800E-2 " "
y[1] (analytic) = 2.0004147773435768 " "
y[1] (numeric) = 2.0004147773435794 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.331991389625060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.88999999999998800E-2 " "
y[1] (analytic) = 2.0004176631442623 " "
y[1] (numeric) = 2.0004176631442654 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55398771277808700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.89999999999998800E-2 " "
y[1] (analytic) = 2.000420558953305 " "
y[1] (numeric) = 2.0004205589533077 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33198753990738830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.90999999999998800E-2 " "
y[1] (analytic) = 2.0004234647707624 " "
y[1] (numeric) = 2.000423464770765 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3319856050607348000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.91999999999998800E-2 " "
y[1] (analytic) = 2.0004263805966924 " "
y[1] (numeric) = 2.000426380596695 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33198366355556240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.929999999999987600E-2 " "
y[1] (analytic) = 2.000429306431154 " "
y[1] (numeric) = 2.0004293064311565 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33198171539188950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.939999999999987600E-2 " "
y[1] (analytic) = 2.000432242274205 " "
y[1] (numeric) = 2.000432242274208 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3319797605697360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.949999999999987600E-2 " "
y[1] (analytic) = 2.000435188125905 " "
y[1] (numeric) = 2.0004351881259077 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33197779908912160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.959999999999987600E-2 " "
y[1] (analytic) = 2.0004381439863126 " "
y[1] (numeric) = 2.0004381439863153 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33197583095006570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.969999999999987600E-2 " "
y[1] (analytic) = 2.000441109855487 " "
y[1] (numeric) = 2.0004411098554895 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3319738561525882000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.979999999999987700E-2 " "
y[1] (analytic) = 2.000444085733487 " "
y[1] (numeric) = 2.00044408573349 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.553967187146160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.989999999999987700E-2 " "
y[1] (analytic) = 2.000447071620373 " "
y[1] (numeric) = 2.000447071620376 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5539648676795210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 2.999999999999987000E-2 " "
y[1] (analytic) = 2.0004500675162045 " "
y[1] (numeric) = 2.0004500675162076 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5539625404447930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.009999999999987000E-2 " "
y[1] (analytic) = 2.0004530734210415 " "
y[1] (numeric) = 2.0004530734210446 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5539602054419982000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.019999999999987000E-2 " "
y[1] (analytic) = 2.0004560893349437 " "
y[1] (numeric) = 2.0004560893349472 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77595184305275540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.029999999999987000E-2 " "
y[1] (analytic) = 2.0004591152579723 " "
y[1] (numeric) = 2.000459115257976 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77594915672263320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.03999999999998700E-2 " "
y[1] (analytic) = 2.000462151190187 " "
y[1] (numeric) = 2.0004621511901908 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77594646151480160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.04999999999998700E-2 " "
y[1] (analytic) = 2.0004651971316494 " "
y[1] (numeric) = 2.000465197131653 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7759437574292872000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.05999999999998700E-2 " "
y[1] (analytic) = 2.0004682530824196 " "
y[1] (numeric) = 2.0004682530824236 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99793367502438170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.06999999999998700E-2 " "
y[1] (analytic) = 2.00047131904256 " "
y[1] (numeric) = 2.0004713190425636 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77593832262531780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.07999999999998700E-2 " "
y[1] (analytic) = 2.0004743950121306 " "
y[1] (numeric) = 2.0004743950121346 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9979275408952820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.08999999999998660E-2 " "
y[1] (analytic) = 2.000477480991194 " "
y[1] (numeric) = 2.000477480991198 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99792445884981050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.099999999999986700E-2 " "
y[1] (analytic) = 2.0004805769798115 " "
y[1] (numeric) = 2.0004805769798155 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99792136681709900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.109999999999986700E-2 " "
y[1] (analytic) = 2.0004836829780452 " "
y[1] (numeric) = 2.0004836829780492 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99791826479717770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.119999999999986700E-2 " "
y[1] (analytic) = 2.000486798985957 " "
y[1] (numeric) = 2.0004867989859614 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21990572532230980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.12999999999998700E-2 " "
y[1] (analytic) = 2.0004899250036097 " "
y[1] (numeric) = 2.000489925003614 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21990225643981330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.13999999999998700E-2 " "
y[1] (analytic) = 2.0004930610310656 " "
y[1] (numeric) = 2.00049306103107 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21989877646052160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.149999999999987000E-2 " "
y[1] (analytic) = 2.000496207068388 " "
y[1] (numeric) = 2.0004962070683923 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21989528538446860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.15999999999998800E-2 " "
y[1] (analytic) = 2.0004993631156394 " "
y[1] (numeric) = 2.0004993631156434 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99790260489052070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.16999999999998840E-2 " "
y[1] (analytic) = 2.000502529172883 " "
y[1] (numeric) = 2.000502529172887 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99789944294799770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.179999999999988400E-2 " "
y[1] (analytic) = 2.000505705240182 " "
y[1] (numeric) = 2.000505705240186 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9978962710184850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.18999999999998840E-2 " "
y[1] (analytic) = 2.0005088913176 " "
y[1] (numeric) = 2.000508891317604 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99789308910201330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.19999999999998900E-2 " "
y[1] (analytic) = 2.000512087405202 " "
y[1] (numeric) = 2.0005120874052054 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77590213084321270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.20999999999998950E-2 " "
y[1] (analytic) = 2.00051529350305 " "
y[1] (numeric) = 2.000515293503054 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99788669530832050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.219999999999989500E-2 " "
y[1] (analytic) = 2.0005185096112097 " "
y[1] (numeric) = 2.0005185096112137 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99788348343116370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.2299999999999895E-2 " "
y[1] (analytic) = 2.000521735729745 " "
y[1] (numeric) = 2.000521735729749 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99788026156717560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.2399999999999900E-2 " "
y[1] (analytic) = 2.0005249718587206 " "
y[1] (numeric) = 2.0005249718587246 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99787702971638920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.249999999999990700E-2 " "
y[1] (analytic) = 2.000528217998201 " "
y[1] (numeric) = 2.000528217998205 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9978737878788360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.25999999999999070E-2 " "
y[1] (analytic) = 2.000531474148251 " "
y[1] (numeric) = 2.0005314741482554 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21985615117172130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.26999999999999070E-2 " "
y[1] (analytic) = 2.0005347403089364 " "
y[1] (numeric) = 2.000534740308941 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21985252693728930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.27999999999999100E-2 " "
y[1] (analytic) = 2.0005380164803226 " "
y[1] (numeric) = 2.000538016480327 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2198488916065580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.289999999999992000E-2 " "
y[1] (analytic) = 2.0005413026624748 " "
y[1] (numeric) = 2.000541302662479 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21984524517956420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.29999999999999200E-2 " "
y[1] (analytic) = 2.0005445988554587 " "
y[1] (numeric) = 2.000544598855463 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21984158765634430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.30999999999999200E-2 " "
y[1] (analytic) = 2.000547905059341 " "
y[1] (numeric) = 2.0005479050593453 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21983791903693470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.319999999999992400E-2 " "
y[1] (analytic) = 2.0005512212741867 " "
y[1] (numeric) = 2.0005512212741916 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.44181766325350940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.32999999999999300E-2 " "
y[1] (analytic) = 2.0005545475000637 " "
y[1] (numeric) = 2.000554547500068 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21983054850969250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.33999999999999300E-2 " "
y[1] (analytic) = 2.0005578837370375 " "
y[1] (numeric) = 2.000557883737042 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2198268466019340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.34999999999999300E-2 " "
y[1] (analytic) = 2.000561229985175 " "
y[1] (numeric) = 2.0005612299851796 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21982313359813280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.359999999999993500E-2 " "
y[1] (analytic) = 2.000564586244544 " "
y[1] (numeric) = 2.0005645862445482 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21981940949832620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.36999999999999400E-2 " "
y[1] (analytic) = 2.0005679525152105 " "
y[1] (numeric) = 2.000567952515215 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21981567430255130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.37999999999999400E-2 " "
y[1] (analytic) = 2.0005713287972426 " "
y[1] (numeric) = 2.000571328797247 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21981192801084530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.389999999999994000E-2 " "
y[1] (analytic) = 2.0005747150907083 " "
y[1] (numeric) = 2.0005747150907123 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99782735356092120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.39999999999999470E-2 " "
y[1] (analytic) = 2.0005781113956744 " "
y[1] (numeric) = 2.0005781113956784 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99782396192581150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.40999999999999500E-2 " "
y[1] (analytic) = 2.0005815177122095 " "
y[1] (numeric) = 2.0005815177122135 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99782056030446520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.41999999999999500E-2 " "
y[1] (analytic) = 2.000584934040382 " "
y[1] (numeric) = 2.000584934040386 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9978171486969160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.429999999999995000E-2 " "
y[1] (analytic) = 2.00058836038026 " "
y[1] (numeric) = 2.000588360380264 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99781372710319840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.43999999999999600E-2 " "
y[1] (analytic) = 2.000591796731912 " "
y[1] (numeric) = 2.000591796731916 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99781029552334620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.44999999999999640E-2 " "
y[1] (analytic) = 2.000595243095407 " "
y[1] (numeric) = 2.000595243095411 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99780685395739430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.459999999999996400E-2 " "
y[1] (analytic) = 2.000598699470814 " "
y[1] (numeric) = 2.000598699470818 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99780340240537670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.46999999999999640E-2 " "
y[1] (analytic) = 2.000602165858202 " "
y[1] (numeric) = 2.000602165858206 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99779994086732780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.47999999999999700E-2 " "
y[1] (analytic) = 2.000605642257641 " "
y[1] (numeric) = 2.000605642257645 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99779646934328150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.48999999999999750E-2 " "
y[1] (analytic) = 2.0006091286692 " "
y[1] (numeric) = 2.000609128669204 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99779298783327370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.499999999999997600E-2 " "
y[1] (analytic) = 2.000612625092949 " "
y[1] (numeric) = 2.0006126250929532 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21976610704148790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.50999999999999760E-2 " "
y[1] (analytic) = 2.000616131528958 " "
y[1] (numeric) = 2.0006161315289623 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21976221650612370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.51999999999999800E-2 " "
y[1] (analytic) = 2.000619647977297 " "
y[1] (numeric) = 2.0006196479773015 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21975831487536270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.529999999999998700E-2 " "
y[1] (analytic) = 2.000623174438037 " "
y[1] (numeric) = 2.0006231744380414 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21975440214924350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.53999999999999870E-2 " "
y[1] (analytic) = 2.000626710911248 " "
y[1] (numeric) = 2.0006267109112525 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21975047832780500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.54999999999999870E-2 " "
y[1] (analytic) = 2.0006302573970016 " "
y[1] (numeric) = 2.0006302573970056 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99777188906997780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.55999999999999900E-2 " "
y[1] (analytic) = 2.0006338138953677 " "
y[1] (numeric) = 2.000633813895372 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21974259739912780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.570000000000000000E-2 " "
y[1] (analytic) = 2.0006373804064186 " "
y[1] (numeric) = 2.000637380406423 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21973864029196700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.5800E-2 " "
y[1] (analytic) = 2.000640956930225 " "
y[1] (numeric) = 2.0006409569302295 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21973467208964500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.5900E-2 " "
y[1] (analytic) = 2.000644543466859 " "
y[1] (numeric) = 2.0006445434668634 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21973069279220030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.600000000000000400E-2 " "
y[1] (analytic) = 2.000648140016392 " "
y[1] (numeric) = 2.0006481400163962 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21972670239967360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.61000000000000100E-2 " "
y[1] (analytic) = 2.0006517465788964 " "
y[1] (numeric) = 2.0006517465789004 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99775043082089380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.62000000000000100E-2 " "
y[1] (analytic) = 2.000655363154444 " "
y[1] (numeric) = 2.0006553631544484 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2197186883295322000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.63000000000000100E-2 " "
y[1] (analytic) = 2.0006589897431075 " "
y[1] (numeric) = 2.000658989743112 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21971466465199750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.640000000000001600E-2 " "
y[1] (analytic) = 2.0006626263449596 " "
y[1] (numeric) = 2.000662626344964 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21971062987954050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.65000000000000200E-2 " "
y[1] (analytic) = 2.000666272960073 " "
y[1] (numeric) = 2.0006662729600775 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21970658401220160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.66000000000000200E-2 " "
y[1] (analytic) = 2.0006699295885206 " "
y[1] (numeric) = 2.000669929588525 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21970252705002060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.670000000000002000E-2 " "
y[1] (analytic) = 2.000673596230376 " "
y[1] (numeric) = 2.0006735962303805 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21969845899303850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.68000000000000270E-2 " "
y[1] (analytic) = 2.0006772728857127 " "
y[1] (numeric) = 2.0006772728857167 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99772494185716580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.69000000000000300E-2 " "
y[1] (analytic) = 2.000680959554604 " "
y[1] (numeric) = 2.000680959554608 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99772126063534920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.70000000000000330E-2 " "
y[1] (analytic) = 2.0006846562371234 " "
y[1] (numeric) = 2.0006846562371274 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99771756942832170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.710000000000003300E-2 " "
y[1] (analytic) = 2.0006883629333454 " "
y[1] (numeric) = 2.0006883629333494 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.997713868236119800000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.72000000000000400E-2 " "
y[1] (analytic) = 2.000692079643344 " "
y[1] (numeric) = 2.0006920796433483 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21967795228753460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.73000000000000440E-2 " "
y[1] (analytic) = 2.0006958063671942 " "
y[1] (numeric) = 2.0006958063671982 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9977064358963412000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.740000000000004400E-2 " "
y[1] (analytic) = 2.00069954310497 " "
y[1] (numeric) = 2.000699543104974 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99770270474883850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.75000000000000440E-2 " "
y[1] (analytic) = 2.0007032898567463 " "
y[1] (numeric) = 2.0007032898567503 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.997698963616309800000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.76000000000000500E-2 " "
y[1] (analytic) = 2.0007070466225985 " "
y[1] (numeric) = 2.0007070466226025 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99769521249879230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.77000000000000560E-2 " "
y[1] (analytic) = 2.000710813402602 " "
y[1] (numeric) = 2.0007108134026055 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.775725734574510000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.780000000000005600E-2 " "
y[1] (analytic) = 2.0007145901968313 " "
y[1] (numeric) = 2.000714590196835 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77572238249683740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.79000000000000560E-2 " "
y[1] (analytic) = 2.000718377005363 " "
y[1] (numeric) = 2.0007183770053665 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77571902154371900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.80000000000000600E-2 " "
y[1] (analytic) = 2.0007221738282723 " "
y[1] (numeric) = 2.000722173828276 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77571565171518950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.810000000000006700E-2 " "
y[1] (analytic) = 2.000725980665636 " "
y[1] (numeric) = 2.0007259806656394 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7757122730112810000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.82000000000000700E-2 " "
y[1] (analytic) = 2.0007297975175296 " "
y[1] (numeric) = 2.000729797517533 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77570888543202850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.83000000000000700E-2 " "
y[1] (analytic) = 2.0007336243840297 " "
y[1] (numeric) = 2.0007336243840332 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77570548897746570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.84000000000000730E-2 " "
y[1] (analytic) = 2.000737461265213 " "
y[1] (numeric) = 2.0007374612652167 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77570208364762620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.850000000000008000E-2 " "
y[1] (analytic) = 2.0007413081611567 " "
y[1] (numeric) = 2.0007413081611602 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7756986694425440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.86000000000000800E-2 " "
y[1] (analytic) = 2.0007451650719377 " "
y[1] (numeric) = 2.0007451650719412 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7756952463622530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.87000000000000800E-2 " "
y[1] (analytic) = 2.000749031997633 " "
y[1] (numeric) = 2.0007490319976364 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77569181440678760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.880000000000008400E-2 " "
y[1] (analytic) = 2.0007529089383196 " "
y[1] (numeric) = 2.0007529089383236 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99764942027320540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.89000000000000900E-2 " "
y[1] (analytic) = 2.0007567958940764 " "
y[1] (numeric) = 2.0007567958940804 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.997645539354280200000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.90000000000000900E-2 " "
y[1] (analytic) = 2.0007606928649806 " "
y[1] (numeric) = 2.0007606928649846 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99764164845089940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.91000000000000900E-2 " "
y[1] (analytic) = 2.00076459985111 " "
y[1] (numeric) = 2.000764599851114 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99763774756310270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.920000000000009600E-2 " "
y[1] (analytic) = 2.0007685168525433 " "
y[1] (numeric) = 2.000768516852547 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7756745215030470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.9300000000000100E-2 " "
y[1] (analytic) = 2.0007724438693586 " "
y[1] (numeric) = 2.000772443869362 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77567103629725780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.9400000000000100E-2 " "
y[1] (analytic) = 2.000776380901635 " "
y[1] (numeric) = 2.0007763809016383 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77566754221653580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.950000000000010000E-2 " "
y[1] (analytic) = 2.0007803279494505 " "
y[1] (numeric) = 2.000780327949454 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77566403926091580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.96000000000001100E-2 " "
y[1] (analytic) = 2.000784285012885 " "
y[1] (numeric) = 2.0007842850128887 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77566052743043300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.97000000000001130E-2 " "
y[1] (analytic) = 2.000788252092018 " "
y[1] (numeric) = 2.0007882520920215 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7756570067251218000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.98000000000001130E-2 " "
y[1] (analytic) = 2.0007922291869282 " "
y[1] (numeric) = 2.000792229186932 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7756534771450180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 3.990000000000011300E-2 " "
y[1] (analytic) = 2.0007962162976956 " "
y[1] (numeric) = 2.000796216297699 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7756499386901570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.00000000000001200E-2 " "
y[1] (analytic) = 2.0008002134244 " "
y[1] (numeric) = 2.0008002134244034 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77564639136057360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.01000000000001240E-2 " "
y[1] (analytic) = 2.000804220567121 " "
y[1] (numeric) = 2.000804220567125 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99759818955084130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.020000000000012500E-2 " "
y[1] (analytic) = 2.00080823772594 " "
y[1] (numeric) = 2.000808237725944 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99759417883705460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.03000000000001250E-2 " "
y[1] (analytic) = 2.0008122649009366 " "
y[1] (numeric) = 2.0008122649009406 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99759015813932520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.04000000000001300E-2 " "
y[1] (analytic) = 2.000816302092192 " "
y[1] (numeric) = 2.0008163020921956 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77563211329572730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.05000000000001360E-2 " "
y[1] (analytic) = 2.0008203492997865 " "
y[1] (numeric) = 2.00082034929979 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77562852159306560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.060000000000013600E-2 " "
y[1] (analytic) = 2.0008244065238014 " "
y[1] (numeric) = 2.000824406523805 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77562492101589530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.07000000000001360E-2 " "
y[1] (analytic) = 2.0008284737643183 " "
y[1] (numeric) = 2.000828473764322 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77562131156425270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.08000000000001400E-2 " "
y[1] (analytic) = 2.0008325510214187 " "
y[1] (numeric) = 2.0008325510214218 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55366548158340140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.090000000000015000E-2 " "
y[1] (analytic) = 2.0008366382951834 " "
y[1] (numeric) = 2.0008366382951865 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5536623077829820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.10000000000001500E-2 " "
y[1] (analytic) = 2.000840735585695 " "
y[1] (numeric) = 2.0008407355856983 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55365912621749370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.11000000000001500E-2 " "
y[1] (analytic) = 2.0008448428930357 " "
y[1] (numeric) = 2.0008448428930388 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55365593688696820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.12000000000001530E-2 " "
y[1] (analytic) = 2.0008489602172874 " "
y[1] (numeric) = 2.0008489602172905 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55365273979143800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.130000000000016000E-2 " "
y[1] (analytic) = 2.0008530875585326 " "
y[1] (numeric) = 2.0008530875585357 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55364953493093460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.14000000000001600E-2 " "
y[1] (analytic) = 2.0008572249168544 " "
y[1] (numeric) = 2.0008572249168575 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55364632230548940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.15000000000001600E-2 " "
y[1] (analytic) = 2.0008613722923356 " "
y[1] (numeric) = 2.0008613722923383 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33169408735583030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.160000000000016500E-2 " "
y[1] (analytic) = 2.000865529685059 " "
y[1] (numeric) = 2.0008655296850617 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3316913203656320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.17000000000001700E-2 " "
y[1] (analytic) = 2.0008696970951076 " "
y[1] (numeric) = 2.0008696970951108 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5536366378398280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.18000000000001700E-2 " "
y[1] (analytic) = 2.000873874522566 " "
y[1] (numeric) = 2.000873874522569 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55363339415493930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.19000000000001700E-2 " "
y[1] (analytic) = 2.000878061967516 " "
y[1] (numeric) = 2.0008780619675197 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77557730594888140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.200000000000017600E-2 " "
y[1] (analytic) = 2.000882259430044 " "
y[1] (numeric) = 2.000882259430047 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55362688349085450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.21000000000001800E-2 " "
y[1] (analytic) = 2.000886466910232 " "
y[1] (numeric) = 2.0008864669102353 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55362361651172260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.22000000000001800E-2 " "
y[1] (analytic) = 2.0008906844081653 " "
y[1] (numeric) = 2.0008906844081684 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55362034176790840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.230000000000018000E-2 " "
y[1] (analytic) = 2.000894911923928 " "
y[1] (numeric) = 2.000894911923931 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55361705925944450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.24000000000001900E-2 " "
y[1] (analytic) = 2.0008991494576054 " "
y[1] (numeric) = 2.0008991494576085 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5536137689863630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.25000000000001930E-2 " "
y[1] (analytic) = 2.000903397009282 " "
y[1] (numeric) = 2.0009033970092847 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3316661179560260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.26000000000001930E-2 " "
y[1] (analytic) = 2.0009076545790423 " "
y[1] (numeric) = 2.0009076545790454 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.553607165146480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.270000000000019300E-2 " "
y[1] (analytic) = 2.0009119221669724 " "
y[1] (numeric) = 2.0009119221669756 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55360385157974430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.2800000000000200E-2 " "
y[1] (analytic) = 2.000916199773158 " "
y[1] (numeric) = 2.000916199773161 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3316575973558770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.2900000000000205E-2 " "
y[1] (analytic) = 2.0009204873976842 " "
y[1] (numeric) = 2.000920487397687 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33165474384529970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.300000000000020500E-2 " "
y[1] (analytic) = 2.000924785040637 " "
y[1] (numeric) = 2.00092478504064 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55359386429275770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.31000000000002050E-2 " "
y[1] (analytic) = 2.0009290927021026 " "
y[1] (numeric) = 2.0009290927021057 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55359051966827920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.32000000000002100E-2 " "
y[1] (analytic) = 2.0009334103821677 " "
y[1] (numeric) = 2.0009334103821708 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55358716727944850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.33000000000002160E-2 " "
y[1] (analytic) = 2.000937738080918 " "
y[1] (numeric) = 2.0009377380809212 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5535838071262990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.340000000000021600E-2 " "
y[1] (analytic) = 2.000942075798441 " "
y[1] (numeric) = 2.000942075798444 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55358043920886420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.35000000000002160E-2 " "
y[1] (analytic) = 2.000946423534823 " "
y[1] (numeric) = 2.000946423534826 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55357706352717730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.36000000000002200E-2 " "
y[1] (analytic) = 2.0009507812901517 " "
y[1] (numeric) = 2.000950781290155 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55357368008127240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.370000000000023000E-2 " "
y[1] (analytic) = 2.000955149064514 " "
y[1] (numeric) = 2.000955149064517 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55357028887118330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.38000000000002300E-2 " "
y[1] (analytic) = 2.0009595268579976 " "
y[1] (numeric) = 2.0009595268580007 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5535668898969432000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.39000000000002300E-2 " "
y[1] (analytic) = 2.00096391467069 " "
y[1] (numeric) = 2.0009639146706935 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77550112360981370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.40000000000002330E-2 " "
y[1] (analytic) = 2.0009683125026796 " "
y[1] (numeric) = 2.0009683125026827 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55356006865614740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.410000000000024000E-2 " "
y[1] (analytic) = 2.000972720354054 " "
y[1] (numeric) = 2.0009727203540573 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55355664638965940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.42000000000002400E-2 " "
y[1] (analytic) = 2.000977138224902 " "
y[1] (numeric) = 2.000977138224905 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55355321635915730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.43000000000002400E-2 " "
y[1] (analytic) = 2.000981566115312 " "
y[1] (numeric) = 2.000981566115315 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55354977856467430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.440000000000024500E-2 " "
y[1] (analytic) = 2.000986004025372 " "
y[1] (numeric) = 2.0009860040253753 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5535463330062460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.45000000000002500E-2 " "
y[1] (analytic) = 2.0009904519551722 " "
y[1] (numeric) = 2.0009904519551753 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55354287968390570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.46000000000002500E-2 " "
y[1] (analytic) = 2.0009949099048003 " "
y[1] (numeric) = 2.000994909904804 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77547362125450160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.47000000000002500E-2 " "
y[1] (analytic) = 2.000999377874347 " "
y[1] (numeric) = 2.0009993778743507 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7754696568544331000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.480000000000025600E-2 " "
y[1] (analytic) = 2.0010038558639014 " "
y[1] (numeric) = 2.001003855863905 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7754656835814410000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.49000000000002600E-2 " "
y[1] (analytic) = 2.001008343873553 " "
y[1] (numeric) = 2.0010083438735564 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77546170143556530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.50000000000002600E-2 " "
y[1] (analytic) = 2.0010128419033917 " "
y[1] (numeric) = 2.0010128419033952 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77545771041684540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.510000000000026000E-2 " "
y[1] (analytic) = 2.0010173499535076 " "
y[1] (numeric) = 2.0010173499535115 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99738542434098700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.52000000000002700E-2 " "
y[1] (analytic) = 2.0010218680239915 " "
y[1] (numeric) = 2.0010218680239955 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99738091448116220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.53000000000002730E-2 " "
y[1] (analytic) = 2.0010263961149337 " "
y[1] (numeric) = 2.0010263961149377 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99737639463952260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.540000000000027300E-2 " "
y[1] (analytic) = 2.0010309342264248 " "
y[1] (numeric) = 2.0010309342264287 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99737186481611350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.550000000000027400E-2 " "
y[1] (analytic) = 2.001035482358556 " "
y[1] (numeric) = 2.0010354823585597 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77543762223198150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.56000000000002800E-2 " "
y[1] (analytic) = 2.0010400405114184 " "
y[1] (numeric) = 2.001040040511422 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7754335779770360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.57000000000002850E-2 " "
y[1] (analytic) = 2.001044608685103 " "
y[1] (numeric) = 2.0010446086851066 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77542952484952720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.580000000000028500E-2 " "
y[1] (analytic) = 2.0010491868797016 " "
y[1] (numeric) = 2.001049186879705 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77542546284949560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.59000000000002850E-2 " "
y[1] (analytic) = 2.0010537750953064 " "
y[1] (numeric) = 2.0010537750953095 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55349371797985830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.60000000000002900E-2 " "
y[1] (analytic) = 2.0010583733320084 " "
y[1] (numeric) = 2.0010583733320115 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55349014820302140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.610000000000029600E-2 " "
y[1] (analytic) = 2.0010629815899006 " "
y[1] (numeric) = 2.0010629815899037 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5534865706628329000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.620000000000029600E-2 " "
y[1] (analytic) = 2.0010675998690752 " "
y[1] (numeric) = 2.0010675998690783 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5534829853593290000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.6300000000000296E-2 " "
y[1] (analytic) = 2.0010722281696243 " "
y[1] (numeric) = 2.001072228169628 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77540501976290950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.6400000000000300E-2 " "
y[1] (analytic) = 2.0010768664916414 " "
y[1] (numeric) = 2.0010768664916445 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5534757914625180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.650000000000031000E-2 " "
y[1] (analytic) = 2.001081514835219 " "
y[1] (numeric) = 2.001081514835222 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55347218286928240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.66000000000003100E-2 " "
y[1] (analytic) = 2.00108617320045 " "
y[1] (numeric) = 2.0010861732004535 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7753926474432860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.67000000000003100E-2 " "
y[1] (analytic) = 2.0010908415874282 " "
y[1] (numeric) = 2.001090841587432 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77538850559237960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.680000000000031400E-2 " "
y[1] (analytic) = 2.0010955199962472 " "
y[1] (numeric) = 2.001095519996251 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77538435486935850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.690000000000032000E-2 " "
y[1] (analytic) = 2.0011002084270006 " "
y[1] (numeric) = 2.001100208427004 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7753801952742650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.70000000000003200E-2 " "
y[1] (analytic) = 2.001104906879782 " "
y[1] (numeric) = 2.001104906879786 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99729803015803340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.71000000000003200E-2 " "
y[1] (analytic) = 2.0011096153546863 " "
y[1] (numeric) = 2.0011096153546903 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.997293330651530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.720000000000032500E-2 " "
y[1] (analytic) = 2.001114333851808 " "
y[1] (numeric) = 2.001114333851812 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9972886211640850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.73000000000003300E-2 " "
y[1] (analytic) = 2.0011190623712407 " "
y[1] (numeric) = 2.0011190623712447 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99728390169574550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.74000000000003300E-2 " "
y[1] (analytic) = 2.00112380091308 " "
y[1] (numeric) = 2.001123800913084 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99727917224655850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.750000000000033000E-2 " "
y[1] (analytic) = 2.0011285494774205 " "
y[1] (numeric) = 2.0011285494774245 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99727443281657150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.760000000000033600E-2 " "
y[1] (analytic) = 2.0011333080643574 " "
y[1] (numeric) = 2.0011333080643614 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99726968340583150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.77000000000003400E-2 " "
y[1] (analytic) = 2.0011380766739864 " "
y[1] (numeric) = 2.0011380766739904 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9972649240143858000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.78000000000003400E-2 " "
y[1] (analytic) = 2.001142855306403 " "
y[1] (numeric) = 2.001142855306407 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9972601546422820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.790000000000034000E-2 " "
y[1] (analytic) = 2.001147643961702 " "
y[1] (numeric) = 2.001147643961706 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99725537528956780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.80000000000003500E-2 " "
y[1] (analytic) = 2.001152442639981 " "
y[1] (numeric) = 2.001152442639985 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99725058595629030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.81000000000003540E-2 " "
y[1] (analytic) = 2.0011572513413354 " "
y[1] (numeric) = 2.0011572513413394 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99724578664249750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.820000000000035400E-2 " "
y[1] (analytic) = 2.001162070065862 " "
y[1] (numeric) = 2.0011620700658654 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77532531319843300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.83000000000003540E-2 " "
y[1] (analytic) = 2.0011668988136564 " "
y[1] (numeric) = 2.00116689881366 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77532102939871820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.84000000000003600E-2 " "
y[1] (analytic) = 2.001171737584816 " "
y[1] (numeric) = 2.0011717375848197 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7753167367275620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.85000000000003650E-2 " "
y[1] (analytic) = 2.0011765863794384 " "
y[1] (numeric) = 2.001176586379442 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77531243518500750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.860000000000036500E-2 " "
y[1] (analytic) = 2.00118144519762 " "
y[1] (numeric) = 2.0011814451976235 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77530812477109720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.87000000000003650E-2 " "
y[1] (analytic) = 2.001186314039458 " "
y[1] (numeric) = 2.001186314039462 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9972167811716090000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.88000000000003700E-2 " "
y[1] (analytic) = 2.0011911929050514 " "
y[1] (numeric) = 2.001191192905055 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77529947732938230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.890000000000037600E-2 " "
y[1] (analytic) = 2.0011960817944963 " "
y[1] (numeric) = 2.0011960817945003 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99720703283937230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.90000000000003770E-2 " "
y[1] (analytic) = 2.001200980707892 " "
y[1] (numeric) = 2.0012009807078956 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77529079440276240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.91000000000003770E-2 " "
y[1] (analytic) = 2.0012058896453357 " "
y[1] (numeric) = 2.0012058896453397 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99719724458681160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.92000000000003800E-2 " "
y[1] (analytic) = 2.0012108086069267 " "
y[1] (numeric) = 2.0012108086069307 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99719233549053200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.930000000000039000E-2 " "
y[1] (analytic) = 2.001215737592763 " "
y[1] (numeric) = 2.001215737592767 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99718741641431770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.94000000000003900E-2 " "
y[1] (analytic) = 2.001220676602944 " "
y[1] (numeric) = 2.001220676602948 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9971824873582180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.95000000000003900E-2 " "
y[1] (analytic) = 2.0012256256375682 " "
y[1] (numeric) = 2.0012256256375722 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9971775483222820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.960000000000039400E-2 " "
y[1] (analytic) = 2.0012305846967346 " "
y[1] (numeric) = 2.001230584696739 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21908066589617730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9700000000000400E-2 " "
y[1] (analytic) = 2.0012355537805435 " "
y[1] (numeric) = 2.001235553780548 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21907515590122120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9800000000000400E-2 " "
y[1] (analytic) = 2.001240532889094 " "
y[1] (numeric) = 2.0012405328890983 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21906963481772250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 4.9900000000000400E-2 " "
y[1] (analytic) = 2.001245522022486 " "
y[1] (numeric) = 2.00124552202249 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99715769238116260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.000000000000040000E-2 " "
y[1] (analytic) = 2.001250521180819 " "
y[1] (numeric) = 2.0012505211808236 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21905855938531820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.01000000000004100E-2 " "
y[1] (analytic) = 2.0012555303641943 " "
y[1] (numeric) = 2.001255530364199 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2190530050365230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.02000000000004100E-2 " "
y[1] (analytic) = 2.0012605495727116 " "
y[1] (numeric) = 2.001260549572716 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2190474395994061000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.030000000000041000E-2 " "
y[1] (analytic) = 2.0012655788064717 " "
y[1] (numeric) = 2.001265578806476 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21904186307402330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.04000000000004200E-2 " "
y[1] (analytic) = 2.0012706180655755 " "
y[1] (numeric) = 2.00127061806558 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21903627546042930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.05000000000004200E-2 " "
y[1] (analytic) = 2.001275667350124 " "
y[1] (numeric) = 2.0012756673501286 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21903067675868070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.06000000000004200E-2 " "
y[1] (analytic) = 2.0012807266602186 " "
y[1] (numeric) = 2.001280726660223 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2190250669688330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.070000000000042000E-2 " "
y[1] (analytic) = 2.0012857959959605 " "
y[1] (numeric) = 2.001285795995965 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2190194460909418000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.08000000000004200E-2 " "
y[1] (analytic) = 2.0012908753574514 " "
y[1] (numeric) = 2.001290875357456 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2190138141250640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.09000000000004300E-2 " "
y[1] (analytic) = 2.001295964744793 " "
y[1] (numeric) = 2.0012959647447977 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21900817107125480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.100000000000043000E-2 " "
y[1] (analytic) = 2.0013010641580875 " "
y[1] (numeric) = 2.0013010641580924 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4409027686225288000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.11000000000004300E-2 " "
y[1] (analytic) = 2.0013061735974373 " "
y[1] (numeric) = 2.0013061735974422 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.44089653687007660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.12000000000004500E-2 " "
y[1] (analytic) = 2.001311293062945 " "
y[1] (numeric) = 2.0013112930629497 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4408902929210860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.13000000000004500E-2 " "
y[1] (analytic) = 2.0013164225547126 " "
y[1] (numeric) = 2.0013164225547175 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.44088403677561960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.140000000000045000E-2 " "
y[1] (analytic) = 2.0013215620728437 " "
y[1] (numeric) = 2.0013215620728486 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.44087776843373960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.15000000000004500E-2 " "
y[1] (analytic) = 2.0013267116174407 " "
y[1] (numeric) = 2.0013267116174456 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4408714878955093000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.16000000000004500E-2 " "
y[1] (analytic) = 2.0013318711886074 " "
y[1] (numeric) = 2.0013318711886123 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.440865195160989700000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.170000000000046000E-2 " "
y[1] (analytic) = 2.001337040786447 " "
y[1] (numeric) = 2.001337040786452 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.44085889023024470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.18000000000004600E-2 " "
y[1] (analytic) = 2.0013422204110634 " "
y[1] (numeric) = 2.0013422204110682 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.44085257310333620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.19000000000004600E-2 " "
y[1] (analytic) = 2.00134741006256 " "
y[1] (numeric) = 2.001347410062565 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4408462437803288000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.20000000000004700E-2 " "
y[1] (analytic) = 2.0013526097410415 " "
y[1] (numeric) = 2.001352609741046 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21894536569207630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.210000000000047000E-2 " "
y[1] (analytic) = 2.0013578194466115 " "
y[1] (numeric) = 2.001357819446616 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2189395895875140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.22000000000004700E-2 " "
y[1] (analytic) = 2.001363039179375 " "
y[1] (numeric) = 2.0013630391793793 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21893380239576080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.23000000000004700E-2 " "
y[1] (analytic) = 2.001368268939436 " "
y[1] (numeric) = 2.0013682689394408 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4408208045285618000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.240000000000047000E-2 " "
y[1] (analytic) = 2.0013735087269002 " "
y[1] (numeric) = 2.001373508726905 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.44081441422600240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.25000000000004800E-2 " "
y[1] (analytic) = 2.0013787585418727 " "
y[1] (numeric) = 2.001378758541877 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21891637429793100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.26000000000004800E-2 " "
y[1] (analytic) = 2.001384018384458 " "
y[1] (numeric) = 2.0013840183844627 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.440801597033789800000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.27000000000004800E-2 " "
y[1] (analytic) = 2.0013892882547624 " "
y[1] (numeric) = 2.001389288254767 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21890470013114850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.280000000000049000E-2 " "
y[1] (analytic) = 2.001394568152891 " "
y[1] (numeric) = 2.0013945681528953 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2188988464174630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.29000000000004900E-2 " "
y[1] (analytic) = 2.00139985807895 " "
y[1] (numeric) = 2.0013998580789543 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21889298161699220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.30000000000004900E-2 " "
y[1] (analytic) = 2.001405158033045 " "
y[1] (numeric) = 2.0014051580330494 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2188871057297951000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.310000000000049000E-2 " "
y[1] (analytic) = 2.0014104680152833 " "
y[1] (numeric) = 2.0014104680152873 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99699309688033620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.3200000000000490E-2 " "
y[1] (analytic) = 2.0014157880257706 " "
y[1] (numeric) = 2.0014157880257746 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99698778862590850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.3300000000000500E-2 " "
y[1] (analytic) = 2.0014211180646133 " "
y[1] (numeric) = 2.0014211180646178 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21886941154842840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.3400000000000500E-2 " "
y[1] (analytic) = 2.0014264581319194 " "
y[1] (numeric) = 2.001426458131924 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21886349131491050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.350000000000050000E-2 " "
y[1] (analytic) = 2.0014318082277955 " "
y[1] (numeric) = 2.0014318082277995 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99697180399546370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.36000000000005100E-2 " "
y[1] (analytic) = 2.001437168352348 " "
y[1] (numeric) = 2.0014371683523526 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21885161758863550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.37000000000005100E-2 " "
y[1] (analytic) = 2.001442538505686 " "
y[1] (numeric) = 2.0014425385056906 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21884566409599640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.380000000000051000E-2 " "
y[1] (analytic) = 2.0014479186879166 " "
y[1] (numeric) = 2.001447918687921 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21883969951710220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.39000000000005100E-2 " "
y[1] (analytic) = 2.0014533088991473 " "
y[1] (numeric) = 2.0014533088991517 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2188337238520120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.40000000000005100E-2 " "
y[1] (analytic) = 2.001458709139486 " "
y[1] (numeric) = 2.0014587091394906 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2188277371007860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.41000000000005300E-2 " "
y[1] (analytic) = 2.001464119409042 " "
y[1] (numeric) = 2.0014641194090466 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2188217392634830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.420000000000053000E-2 " "
y[1] (analytic) = 2.0014695397079234 " "
y[1] (numeric) = 2.001469539707928 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2188157303401632000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.43000000000005300E-2 " "
y[1] (analytic) = 2.0014749700362384 " "
y[1] (numeric) = 2.0014749700362433 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.44069068136397530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.44000000000005400E-2 " "
y[1] (analytic) = 2.001480410394097 " "
y[1] (numeric) = 2.0014804103941017 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4406840471592842000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.450000000000054000E-2 " "
y[1] (analytic) = 2.001485860781607 " "
y[1] (numeric) = 2.001485860781612 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.44067740076017230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.46000000000005400E-2 " "
y[1] (analytic) = 2.001491321198879 " "
y[1] (numeric) = 2.0014913211988836 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21879158378791400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.47000000000005400E-2 " "
y[1] (analytic) = 2.0014967916460216 " "
y[1] (numeric) = 2.0014967916460265 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.44066407137895180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.48000000000005400E-2 " "
y[1] (analytic) = 2.0015022721231452 " "
y[1] (numeric) = 2.0015022721231497 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21877944399725050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.490000000000055000E-2 " "
y[1] (analytic) = 2.0015077626303595 " "
y[1] (numeric) = 2.001507762630364 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21877335747349520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.50000000000005500E-2 " "
y[1] (analytic) = 2.0015132631677743 " "
y[1] (numeric) = 2.0015132631677788 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2187672598642050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.51000000000005500E-2 " "
y[1] (analytic) = 2.0015187737355 " "
y[1] (numeric) = 2.001518773735505 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4406372662863850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.520000000000056000E-2 " "
y[1] (analytic) = 2.001524294333648 " "
y[1] (numeric) = 2.0015242943336524 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21875503138926320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.53000000000005600E-2 " "
y[1] (analytic) = 2.001529824962328 " "
y[1] (numeric) = 2.0015298249623323 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21874890052373370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.54000000000005600E-2 " "
y[1] (analytic) = 2.0015353656216512 " "
y[1] (numeric) = 2.0015353656216557 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21874275857291280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.55000000000005600E-2 " "
y[1] (analytic) = 2.0015409163117295 " "
y[1] (numeric) = 2.0015409163117335 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99686294498317540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.560000000000056000E-2 " "
y[1] (analytic) = 2.001546477032673 " "
y[1] (numeric) = 2.001546477032677 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99685739727407770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.57000000000005700E-2 " "
y[1] (analytic) = 2.0015520477845943 " "
y[1] (numeric) = 2.0015520477845983 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99685183958838360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.58000000000005700E-2 " "
y[1] (analytic) = 2.001557628567605 " "
y[1] (numeric) = 2.0015576285676087 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77497446393435370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.590000000000057000E-2 " "
y[1] (analytic) = 2.0015632193818167 " "
y[1] (numeric) = 2.0015632193818202 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7749695060332682000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.60000000000005800E-2 " "
y[1] (analytic) = 2.0015688202273414 " "
y[1] (numeric) = 2.0015688202273454 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99683510667227530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.61000000000005800E-2 " "
y[1] (analytic) = 2.0015744311042925 " "
y[1] (numeric) = 2.001574431104296 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77495956362733240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.62000000000005800E-2 " "
y[1] (analytic) = 2.0015800520127813 " "
y[1] (numeric) = 2.001580052012785 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77495457912258150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.630000000000058000E-2 " "
y[1] (analytic) = 2.0015856829529213 " "
y[1] (numeric) = 2.001585682952925 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7749495857500410000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.64000000000005800E-2 " "
y[1] (analytic) = 2.001591323924825 " "
y[1] (numeric) = 2.0015913239248286 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77494458350976160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.65000000000005900E-2 " "
y[1] (analytic) = 2.0015969749286064 " "
y[1] (numeric) = 2.00159697492861 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7749395724017920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.660000000000059000E-2 " "
y[1] (analytic) = 2.001602635964378 " "
y[1] (numeric) = 2.0016026359643817 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77493455242618280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.6700000000000590E-2 " "
y[1] (analytic) = 2.0016083070322543 " "
y[1] (numeric) = 2.0016083070322574 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55306333313511040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.6800000000000610E-2 " "
y[1] (analytic) = 2.0016139881323483 " "
y[1] (numeric) = 2.0016139881323514 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55305892513821380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.6900000000000610E-2 " "
y[1] (analytic) = 2.001619679264774 " "
y[1] (numeric) = 2.001619679264777 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5530545093822640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.700000000000061000E-2 " "
y[1] (analytic) = 2.0016253804296458 " "
y[1] (numeric) = 2.001625380429649 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5530500858673050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.71000000000006100E-2 " "
y[1] (analytic) = 2.001631091627078 " "
y[1] (numeric) = 2.001631091627081 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55304565459338070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.72000000000006100E-2 " "
y[1] (analytic) = 2.001636812857186 " "
y[1] (numeric) = 2.0016368128571886 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33117818476617240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.730000000000062000E-2 " "
y[1] (analytic) = 2.001642544120083 " "
y[1] (numeric) = 2.0016425441200862 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55303676876881200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.74000000000006200E-2 " "
y[1] (analytic) = 2.001648285415886 " "
y[1] (numeric) = 2.0016482854158886 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33117055504421960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.75000000000006200E-2 " "
y[1] (analytic) = 2.0016540367447084 " "
y[1] (numeric) = 2.001654036744711 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33116673020763940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.76000000000006300E-2 " "
y[1] (analytic) = 2.001659798106666 " "
y[1] (numeric) = 2.0016597981066693 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55302338184082500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.770000000000063000E-2 " "
y[1] (analytic) = 2.0016655695018755 " "
y[1] (numeric) = 2.0016655695018786 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5530189040140382000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.78000000000006300E-2 " "
y[1] (analytic) = 2.001671350930452 " "
y[1] (numeric) = 2.001671350930455 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55301441842859630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.79000000000006300E-2 " "
y[1] (analytic) = 2.001677142392511 " "
y[1] (numeric) = 2.001677142392514 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55300992508454420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.800000000000063000E-2 " "
y[1] (analytic) = 2.001682943888169 " "
y[1] (numeric) = 2.0016829438881723 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55300542398192710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.81000000000006400E-2 " "
y[1] (analytic) = 2.0016887554175433 " "
y[1] (numeric) = 2.001688755417546 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3311436415321048000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.82000000000006400E-2 " "
y[1] (analytic) = 2.001694576980749 " "
y[1] (numeric) = 2.001694576980752 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5529963985011760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.83000000000006400E-2 " "
y[1] (analytic) = 2.0017004085779044 " "
y[1] (numeric) = 2.0017004085779075 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55299187412313160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.840000000000065000E-2 " "
y[1] (analytic) = 2.001706250209126 " "
y[1] (numeric) = 2.001706250209129 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55298734198670190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.85000000000006500E-2 " "
y[1] (analytic) = 2.0017121018745305 " "
y[1] (numeric) = 2.0017121018745336 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55298280209193150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.86000000000006500E-2 " "
y[1] (analytic) = 2.0017179635742357 " "
y[1] (numeric) = 2.001717963574239 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55297825443886620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.870000000000065000E-2 " "
y[1] (analytic) = 2.0017238353083595 " "
y[1] (numeric) = 2.0017238353083626 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55297369902755060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.88000000000006500E-2 " "
y[1] (analytic) = 2.001729717077019 " "
y[1] (numeric) = 2.0017297170770227 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7748218695520349000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.89000000000006600E-2 " "
y[1] (analytic) = 2.0017356088803333 " "
y[1] (numeric) = 2.001735608880337 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7748166456346870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.90000000000006600E-2 " "
y[1] (analytic) = 2.0017415107184204 " "
y[1] (numeric) = 2.0017415107184235 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55295998624455760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.910000000000066000E-2 " "
y[1] (analytic) = 2.001747422591398 " "
y[1] (numeric) = 2.0017474225914014 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77480617120079620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.92000000000006700E-2 " "
y[1] (analytic) = 2.0017533444993854 " "
y[1] (numeric) = 2.0017533444993885 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55295080559881280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.93000000000006700E-2 " "
y[1] (analytic) = 2.0017592764425007 " "
y[1] (numeric) = 2.0017592764425043 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77479566130166020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.940000000000067000E-2 " "
y[1] (analytic) = 2.0017652184208643 " "
y[1] (numeric) = 2.0017652184208674 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55294159392116130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.95000000000006700E-2 " "
y[1] (analytic) = 2.001771170434594 " "
y[1] (numeric) = 2.0017711704345973 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5529369764454850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.96000000000006700E-2 " "
y[1] (analytic) = 2.0017771324838107 " "
y[1] (numeric) = 2.0017771324838134 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33108487246740240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.97000000000006900E-2 " "
y[1] (analytic) = 2.0017831045686325 " "
y[1] (numeric) = 2.0017831045686356 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55292771822066130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.980000000000069000E-2 " "
y[1] (analytic) = 2.0017890866891808 " "
y[1] (numeric) = 2.0017890866891834 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33107692354709100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 5.99000000000006900E-2 " "
y[1] (analytic) = 2.0017950788455745 " "
y[1] (numeric) = 2.001795078845577 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33107293911272880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.00000000000007000E-2 " "
y[1] (analytic) = 2.0018010810379345 " "
y[1] (numeric) = 2.001801081037937 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33106894802894870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.010000000000070000E-2 " "
y[1] (analytic) = 2.001807093266381 " "
y[1] (numeric) = 2.001807093266384 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.331064950295790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0200000000000700E-2 " "
y[1] (analytic) = 2.001813115531035 " "
y[1] (numeric) = 2.0018131155310375 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3310609459132930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0300000000000700E-2 " "
y[1] (analytic) = 2.0018191478320166 " "
y[1] (numeric) = 2.0018191478320193 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33105693488149770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.0400000000000700E-2 " "
y[1] (analytic) = 2.001825190169448 " "
y[1] (numeric) = 2.0018251901694506 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3310529172004432000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.050000000000071000E-2 " "
y[1] (analytic) = 2.0018312425434495 " "
y[1] (numeric) = 2.001831242543452 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33104889287017030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.06000000000007100E-2 " "
y[1] (analytic) = 2.0018373049541434 " "
y[1] (numeric) = 2.001837304954146 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33104486189071840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.07000000000007100E-2 " "
y[1] (analytic) = 2.001843377401651 " "
y[1] (numeric) = 2.0018433774016535 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3310408242621280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.080000000000072000E-2 " "
y[1] (analytic) = 2.0018494598860936 " "
y[1] (numeric) = 2.0018494598860967 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55287624331517960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.09000000000007200E-2 " "
y[1] (analytic) = 2.0018555524075947 " "
y[1] (numeric) = 2.0018555524075974 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33103272905769260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.10000000000007200E-2 " "
y[1] (analytic) = 2.0018616549662753 " "
y[1] (numeric) = 2.001861654966278 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33102867148192830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.11000000000007200E-2 " "
y[1] (analytic) = 2.001867767562259 " "
y[1] (numeric) = 2.001867767562261 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.10918717271432170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.120000000000072000E-2 " "
y[1] (analytic) = 2.001873890195667 " "
y[1] (numeric) = 2.00187389019567 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.33102053638350760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.13000000000007300E-2 " "
y[1] (analytic) = 2.001880022866624 " "
y[1] (numeric) = 2.0018800228666267 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3310164588609322000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.14000000000007300E-2 " "
y[1] (analytic) = 2.001886165575252 " "
y[1] (numeric) = 2.0018861655752547 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3310123746895008000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.150000000000073000E-2 " "
y[1] (analytic) = 2.001892318321674 " "
y[1] (numeric) = 2.0018923183216772 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55284299784746420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.16000000000007400E-2 " "
y[1] (analytic) = 2.0018984811060148 " "
y[1] (numeric) = 2.001898481106018 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.552838217466940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.17000000000007400E-2 " "
y[1] (analytic) = 2.0019046539283973 " "
y[1] (numeric) = 2.0019046539284004 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55283342932955950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.18000000000007400E-2 " "
y[1] (analytic) = 2.0019108367889453 " "
y[1] (numeric) = 2.0019108367889484 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55282863343537140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.190000000000074000E-2 " "
y[1] (analytic) = 2.0019170296877835 " "
y[1] (numeric) = 2.0019170296877866 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5528238297844218000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.20000000000007400E-2 " "
y[1] (analytic) = 2.001923232625036 " "
y[1] (numeric) = 2.001923232625039 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.552819018376759800000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.21000000000007500E-2 " "
y[1] (analytic) = 2.0019294456008265 " "
y[1] (numeric) = 2.0019294456008296 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55281419921243360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.220000000000075000E-2 " "
y[1] (analytic) = 2.001935668615281 " "
y[1] (numeric) = 2.001935668615284 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55280937229148960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.23000000000007500E-2 " "
y[1] (analytic) = 2.001941901668524 " "
y[1] (numeric) = 2.001941901668527 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55280453761397740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.24000000000007700E-2 " "
y[1] (analytic) = 2.0019481447606804 " "
y[1] (numeric) = 2.0019481447606835 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55279969517994360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.25000000000007700E-2 " "
y[1] (analytic) = 2.0019543978918755 " "
y[1] (numeric) = 2.001954397891879 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7746226799879292000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.26000000000007700E-2 " "
y[1] (analytic) = 2.001960661062235 " "
y[1] (numeric) = 2.0019606610622387 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77461712804858040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.27000000000007700E-2 " "
y[1] (analytic) = 2.0019669342718855 " "
y[1] (numeric) = 2.0019669342718887 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55278512133920100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.28000000000007700E-2 " "
y[1] (analytic) = 2.0019732175209515 " "
y[1] (numeric) = 2.001973217520955 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77460599757664870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.29000000000007800E-2 " "
y[1] (analytic) = 2.0019795108095604 " "
y[1] (numeric) = 2.0019795108095635 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55277536666365430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.30000000000007800E-2 " "
y[1] (analytic) = 2.0019858141378375 " "
y[1] (numeric) = 2.0019858141378406 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5527704776915110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.31000000000007800E-2 " "
y[1] (analytic) = 2.00199212750591 " "
y[1] (numeric) = 2.001992127505913 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55276558096318570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.32000000000007900E-2 " "
y[1] (analytic) = 2.0019984509139044 " "
y[1] (numeric) = 2.0019984509139075 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55276067647872750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.33000000000007900E-2 " "
y[1] (analytic) = 2.002004784361948 " "
y[1] (numeric) = 2.0020047843619513 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55275576423818450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.34000000000007900E-2 " "
y[1] (analytic) = 2.0020111278501678 " "
y[1] (numeric) = 2.002011127850171 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55275084424160630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.35000000000007900E-2 " "
y[1] (analytic) = 2.002017481378691 " "
y[1] (numeric) = 2.002017481378694 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55274591648904140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3600000000000790E-2 " "
y[1] (analytic) = 2.002023844947646 " "
y[1] (numeric) = 2.0020238449476486 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.3309208408404619000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3700000000000800E-2 " "
y[1] (analytic) = 2.002030218557159 " "
y[1] (numeric) = 2.002030218557162 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55273603771614900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3800000000000800E-2 " "
y[1] (analytic) = 2.0020366022073595 " "
y[1] (numeric) = 2.0020366022073626 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55273108669591870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.3900000000000800E-2 " "
y[1] (analytic) = 2.002042995898375 " "
y[1] (numeric) = 2.0020429958983783 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5527261279198990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.4000000000000810E-2 " "
y[1] (analytic) = 2.002049399630334 " "
y[1] (numeric) = 2.0020493996303372 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55272116138813860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.41000000000008100E-2 " "
y[1] (analytic) = 2.0020558134033655 " "
y[1] (numeric) = 2.0020558134033686 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5527161871006870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.42000000000008100E-2 " "
y[1] (analytic) = 2.0020622372175976 " "
y[1] (numeric) = 2.0020622372176007 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55271120505759400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.43000000000008100E-2 " "
y[1] (analytic) = 2.0020686710731597 " "
y[1] (numeric) = 2.0020686710731628 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55270621525890830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.44000000000008100E-2 " "
y[1] (analytic) = 2.0020751149701805 " "
y[1] (numeric) = 2.002075114970184 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7745156773767780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.45000000000008200E-2 " "
y[1] (analytic) = 2.0020815689087903 " "
y[1] (numeric) = 2.002081568908794 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77450995702281180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.46000000000008200E-2 " "
y[1] (analytic) = 2.002088032889118 " "
y[1] (numeric) = 2.0020880328891217 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77450422780548180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.47000000000008200E-2 " "
y[1] (analytic) = 2.0020945069112943 " "
y[1] (numeric) = 2.002094506911298 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77449848972484530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.48000000000008300E-2 " "
y[1] (analytic) = 2.0021009909754484 " "
y[1] (numeric) = 2.002100990975452 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77449274278095980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.49000000000008300E-2 " "
y[1] (analytic) = 2.0021074850817104 " "
y[1] (numeric) = 2.002107485081714 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77448698697388220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.50000000000008300E-2 " "
y[1] (analytic) = 2.002113989230211 " "
y[1] (numeric) = 2.0021139892302147 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77448122230366960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.51000000000008300E-2 " "
y[1] (analytic) = 2.0021205034210814 " "
y[1] (numeric) = 2.002120503421085 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77447544877037930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.52000000000008400E-2 " "
y[1] (analytic) = 2.002127027654452 " "
y[1] (numeric) = 2.0021270276544554 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77446966637406900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.53000000000008500E-2 " "
y[1] (analytic) = 2.002133561930453 " "
y[1] (numeric) = 2.002133561930457 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99627185950414540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.54000000000008500E-2 " "
y[1] (analytic) = 2.0021401062492172 " "
y[1] (numeric) = 2.002140106249221 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77445807499261750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.55000000000008500E-2 " "
y[1] (analytic) = 2.002146660610875 " "
y[1] (numeric) = 2.0021466606108786 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7744522660075920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.56000000000008600E-2 " "
y[1] (analytic) = 2.002153225015558 " "
y[1] (numeric) = 2.002153225015562 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99625225417974980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.57000000000008600E-2 " "
y[1] (analytic) = 2.002159799463399 " "
y[1] (numeric) = 2.002159799463403 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99624569913038480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.58000000000008600E-2 " "
y[1] (analytic) = 2.002166383954529 " "
y[1] (numeric) = 2.002166383954533 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9962391341105118000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.59000000000008600E-2 " "
y[1] (analytic) = 2.0021729784890807 " "
y[1] (numeric) = 2.0021729784890847 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99623255912019650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.60000000000008600E-2 " "
y[1] (analytic) = 2.002179583067187 " "
y[1] (numeric) = 2.002179583067191 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99622597415950340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.61000000000008700E-2 " "
y[1] (analytic) = 2.0021861976889794 " "
y[1] (numeric) = 2.002186197688984 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.218021532476110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.62000000000008700E-2 " "
y[1] (analytic) = 2.002192822354592 " "
y[1] (numeric) = 2.0021928223545964 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21801419369694250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.63000000000008700E-2 " "
y[1] (analytic) = 2.0021994570641573 " "
y[1] (numeric) = 2.0021994570641617 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21800684383979680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.64000000000008800E-2 " "
y[1] (analytic) = 2.0022061018178086 " "
y[1] (numeric) = 2.002206101817813 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21799948290474590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.65000000000008800E-2 " "
y[1] (analytic) = 2.0022127566156795 " "
y[1] (numeric) = 2.002212756615684 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21799211089186270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.66000000000008800E-2 " "
y[1] (analytic) = 2.0022194214579034 " "
y[1] (numeric) = 2.002219421457908 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2179847278012210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.67000000000008800E-2 " "
y[1] (analytic) = 2.002226096344615 " "
y[1] (numeric) = 2.0022260963446192 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21797733363289370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.68000000000008800E-2 " "
y[1] (analytic) = 2.0022327812759473 " "
y[1] (numeric) = 2.0022327812759517 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2179699283869550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.69000000000008900E-2 " "
y[1] (analytic) = 2.002239476252035 " "
y[1] (numeric) = 2.0022394762520395 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2179625120634780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.70000000000008900E-2 " "
y[1] (analytic) = 2.002246181273013 " "
y[1] (numeric) = 2.0022461812730175 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21795508466253650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7100000000000890E-2 " "
y[1] (analytic) = 2.002252896339016 " "
y[1] (numeric) = 2.0022528963390203 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21794764618420460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7200000000000900E-2 " "
y[1] (analytic) = 2.002259621450178 " "
y[1] (numeric) = 2.0022596214501824 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2179401966285560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7300000000000900E-2 " "
y[1] (analytic) = 2.0022663566066345 " "
y[1] (numeric) = 2.0022663566066394 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4397260095952320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7400000000000900E-2 " "
y[1] (analytic) = 2.002273101808522 " "
y[1] (numeric) = 2.0022731018085262 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2179252642856062000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.7500000000000900E-2 " "
y[1] (analytic) = 2.002279857055974 " "
y[1] (numeric) = 2.0022798570559788 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4397095596482990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.76000000000009000E-2 " "
y[1] (analytic) = 2.002286622349128 " "
y[1] (numeric) = 2.0022866223491325 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21791028763428020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.77000000000009200E-2 " "
y[1] (analytic) = 2.0022933976881188 " "
y[1] (numeric) = 2.0022933976881236 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43969306096247920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.78000000000009200E-2 " "
y[1] (analytic) = 2.0023001830730833 " "
y[1] (numeric) = 2.0023001830730878 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21789526667517420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.79000000000009200E-2 " "
y[1] (analytic) = 2.002306978504157 " "
y[1] (numeric) = 2.0023069785041616 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21788773958039030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.80000000000009300E-2 " "
y[1] (analytic) = 2.002313783981477 " "
y[1] (numeric) = 2.002313783981482 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4396682215497742000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.81000000000009300E-2 " "
y[1] (analytic) = 2.0023205995051803 " "
y[1] (numeric) = 2.002320599505185 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4396599173768080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.82000000000009300E-2 " "
y[1] (analytic) = 2.0023274250754035 " "
y[1] (numeric) = 2.002327425075408 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21786509183601270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.83000000000009300E-2 " "
y[1] (analytic) = 2.002334260692283 " "
y[1] (numeric) = 2.002334260692288 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4396432724782750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.84000000000009300E-2 " "
y[1] (analytic) = 2.0023411063559577 " "
y[1] (numeric) = 2.002341106355962 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2178499379571570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.85000000000009400E-2 " "
y[1] (analytic) = 2.002347962066564 " "
y[1] (numeric) = 2.0023479620665685 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2178423444031740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.86000000000009400E-2 " "
y[1] (analytic) = 2.00235482782424 " "
y[1] (numeric) = 2.0023548278242447 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43961821375021370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.87000000000009400E-2 " "
y[1] (analytic) = 2.0023617036291235 " "
y[1] (numeric) = 2.0023617036291284 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43960983647312250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.88000000000009500E-2 " "
y[1] (analytic) = 2.0023685894813528 " "
y[1] (numeric) = 2.0023685894813577 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4396014470123012000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.89000000000009500E-2 " "
y[1] (analytic) = 2.0023754853810667 " "
y[1] (numeric) = 2.002375485381071 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21781185942530240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.90000000000009500E-2 " "
y[1] (analytic) = 2.002382391328403 " "
y[1] (numeric) = 2.0023823913284073 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2178042104907290000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.91000000000009500E-2 " "
y[1] (analytic) = 2.002389307323501 " "
y[1] (numeric) = 2.0023893073235053 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21779655048026440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.92000000000009500E-2 " "
y[1] (analytic) = 2.002396233366499 " "
y[1] (numeric) = 2.0023962333665035 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21778887939398600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.93000000000009600E-2 " "
y[1] (analytic) = 2.0024031694575375 " "
y[1] (numeric) = 2.0024031694575415 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9960030775087720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.94000000000009600E-2 " "
y[1] (analytic) = 2.0024101155967546 " "
y[1] (numeric) = 2.0024101155967586 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99599615359486120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.95000000000009600E-2 " "
y[1] (analytic) = 2.002417071784291 " "
y[1] (numeric) = 2.0024170717842944 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77421263974482070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.96000000000009700E-2 " "
y[1] (analytic) = 2.002424038020285 " "
y[1] (numeric) = 2.0024240380202887 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77420646743380260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.97000000000009700E-2 " "
y[1] (analytic) = 2.0024310143048782 " "
y[1] (numeric) = 2.002431014304882 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7742002862624390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.98000000000009700E-2 " "
y[1] (analytic) = 2.0024380006382096 " "
y[1] (numeric) = 2.002438000638213 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7741940962307912000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 6.99000000000009700E-2 " "
y[1] (analytic) = 2.00244499702042 " "
y[1] (numeric) = 2.002444997020424 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9959613845062860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.00000000000009700E-2 " "
y[1] (analytic) = 2.002452003451651 " "
y[1] (numeric) = 2.0024520034516544 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77418168958688920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.01000000000009800E-2 " "
y[1] (analytic) = 2.002459019932042 " "
y[1] (numeric) = 2.0024590199320453 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77417547297475830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.02000000000009800E-2 " "
y[1] (analytic) = 2.002466046461734 " "
y[1] (numeric) = 2.0024660464617376 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.774169247502590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.03000000000009800E-2 " "
y[1] (analytic) = 2.0024730830408695 " "
y[1] (numeric) = 2.002473083040873 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77416301317044560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.04000000000010000E-2 " "
y[1] (analytic) = 2.002480129669589 " "
y[1] (numeric) = 2.0024801296695927 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77415676997838750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.05000000000010000E-2 " "
y[1] (analytic) = 2.0024871863480342 " "
y[1] (numeric) = 2.002487186348038 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77415051792647830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.060000000000100E-2 " "
y[1] (analytic) = 2.0024942530763474 " "
y[1] (numeric) = 2.002494253076351 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7741442570147790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.070000000000100E-2 " "
y[1] (analytic) = 2.00250132985467 " "
y[1] (numeric) = 2.002501329854674 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99590523564877160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.080000000000100E-2 " "
y[1] (analytic) = 2.0025084166831446 " "
y[1] (numeric) = 2.0025084166831486 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99589817218879400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.090000000000101E-2 " "
y[1] (analytic) = 2.0025155135619137 " "
y[1] (numeric) = 2.0025155135619177 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99589109876176280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.100000000000101E-2 " "
y[1] (analytic) = 2.0025226204911197 " "
y[1] (numeric) = 2.0025226204911237 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99588401536774930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.11000000000010100E-2 " "
y[1] (analytic) = 2.0025297374709057 " "
y[1] (numeric) = 2.0025297374709097 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99587692200682340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.12000000000010200E-2 " "
y[1] (analytic) = 2.002536864501415 " "
y[1] (numeric) = 2.0025368645014185 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77410650549249400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.13000000000010200E-2 " "
y[1] (analytic) = 2.00254400158279 " "
y[1] (numeric) = 2.0025440015827938 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9958627053845170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.14000000000010200E-2 " "
y[1] (analytic) = 2.002551148715175 " "
y[1] (numeric) = 2.002551148715179 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99585558212327760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.15000000000010200E-2 " "
y[1] (analytic) = 2.0025583058987135 " "
y[1] (numeric) = 2.002558305898717 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77408751012925160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.16000000000010200E-2 " "
y[1] (analytic) = 2.002565473133549 " "
y[1] (numeric) = 2.0025654731335525 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77408116062309360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.17000000000010300E-2 " "
y[1] (analytic) = 2.002572650419826 " "
y[1] (numeric) = 2.0025726504198293 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7740748022578350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.18000000000010300E-2 " "
y[1] (analytic) = 2.0025798377576884 " "
y[1] (numeric) = 2.002579837757692 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7740684350335392000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.19000000000010300E-2 " "
y[1] (analytic) = 2.002587035147281 " "
y[1] (numeric) = 2.0025870351472848 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77406205895026920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.20000000000010400E-2 " "
y[1] (analytic) = 2.0025942425887484 " "
y[1] (numeric) = 2.0025942425887524 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99581263325910060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.21000000000010400E-2 " "
y[1] (analytic) = 2.0026014600822357 " "
y[1] (numeric) = 2.0026014600822397 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99580544023294450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.22000000000010400E-2 " "
y[1] (analytic) = 2.0026086876278875 " "
y[1] (numeric) = 2.002608687627892 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21755359693406350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.23000000000010400E-2 " "
y[1] (analytic) = 2.0026159252258497 " "
y[1] (numeric) = 2.002615925225854 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21754558253589950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.24000000000010400E-2 " "
y[1] (analytic) = 2.0026231728762673 " "
y[1] (numeric) = 2.002623172876272 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21753755706441500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.25000000000010500E-2 " "
y[1] (analytic) = 2.0026304305792864 " "
y[1] (numeric) = 2.002630430579291 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21752952051969070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.26000000000010500E-2 " "
y[1] (analytic) = 2.002637698335053 " "
y[1] (numeric) = 2.002637698335057 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99576932561162400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.27000000000010500E-2 " "
y[1] (analytic) = 2.0026449761437126 " "
y[1] (numeric) = 2.0026449761437166 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99576207278975430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.28000000000010600E-2 " "
y[1] (analytic) = 2.002652264005412 " "
y[1] (numeric) = 2.002652264005416 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99575481000218320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.29000000000010600E-2 " "
y[1] (analytic) = 2.0026595619202974 " "
y[1] (numeric) = 2.002659561920302 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21749726360998270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.30000000000010600E-2 " "
y[1] (analytic) = 2.002666869888516 " "
y[1] (numeric) = 2.0026668698885204 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21748917170025430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.31000000000010600E-2 " "
y[1] (analytic) = 2.0026741879102143 " "
y[1] (numeric) = 2.002674187910219 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2174810687177660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.32000000000010600E-2 " "
y[1] (analytic) = 2.00268151598554 " "
y[1] (numeric) = 2.0026815159855444 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2174729546625980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.33000000000010800E-2 " "
y[1] (analytic) = 2.00268885411464 " "
y[1] (numeric) = 2.0026888541146444 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2174648295348310000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.34000000000010800E-2 " "
y[1] (analytic) = 2.002696202297662 " "
y[1] (numeric) = 2.0026962022976664 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2174566933345458000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.35000000000010800E-2 " "
y[1] (analytic) = 2.0027035605347536 " "
y[1] (numeric) = 2.002703560534758 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21744854606182320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.36000000000010900E-2 " "
y[1] (analytic) = 2.002710928826063 " "
y[1] (numeric) = 2.002710928826067 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99569634894507000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.37000000000010900E-2 " "
y[1] (analytic) = 2.002718307171738 " "
y[1] (numeric) = 2.0027183071717425 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.217432218299390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.38000000000010900E-2 " "
y[1] (analytic) = 2.0027256955719275 " "
y[1] (numeric) = 2.002725695571932 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2174240378098412000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.39000000000010900E-2 " "
y[1] (analytic) = 2.00273309402678 " "
y[1] (numeric) = 2.0027330940267842 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21741584624817900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.40000000000010900E-2 " "
y[1] (analytic) = 2.0027405025364433 " "
y[1] (numeric) = 2.0027405025364478 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2174076436144860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4100000000001100E-2 " "
y[1] (analytic) = 2.0027479211010677 " "
y[1] (numeric) = 2.002747921101072 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21739942990884200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4200000000001100E-2 " "
y[1] (analytic) = 2.0027553497208017 " "
y[1] (numeric) = 2.002755349720806 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21739120513132960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4300000000001100E-2 " "
y[1] (analytic) = 2.0027627883957946 " "
y[1] (numeric) = 2.0027627883957995 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43912126621023380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.4400000000001110E-2 " "
y[1] (analytic) = 2.002770237126197 " "
y[1] (numeric) = 2.0027702371262013 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21737472236102550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.45000000000011100E-2 " "
y[1] (analytic) = 2.002777695912157 " "
y[1] (numeric) = 2.0027776959121617 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4391031108052377000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.46000000000011100E-2 " "
y[1] (analytic) = 2.002785164753826 " "
y[1] (numeric) = 2.002785164753831 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43909401483465150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.47000000000011100E-2 " "
y[1] (analytic) = 2.0027926436513535 " "
y[1] (numeric) = 2.0027926436513583 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4390849066854609000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.48000000000011100E-2 " "
y[1] (analytic) = 2.0028001326048903 " "
y[1] (numeric) = 2.002800132604895 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4390757863577547000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.49000000000011200E-2 " "
y[1] (analytic) = 2.002807631614587 " "
y[1] (numeric) = 2.002807631614592 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43906665385162480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.50000000000011200E-2 " "
y[1] (analytic) = 2.0028151406805943 " "
y[1] (numeric) = 2.002815140680599 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4390575091671618000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.51000000000011200E-2 " "
y[1] (analytic) = 2.002822659803063 " "
y[1] (numeric) = 2.002822659803068 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43904835230445620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.52000000000011300E-2 " "
y[1] (analytic) = 2.0028301889821445 " "
y[1] (numeric) = 2.0028301889821494 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43903918326359880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.53000000000011300E-2 " "
y[1] (analytic) = 2.0028377282179908 " "
y[1] (numeric) = 2.002837728217995 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21730000185880020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.54000000000011300E-2 " "
y[1] (analytic) = 2.002845277510753 " "
y[1] (numeric) = 2.0028452775107572 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2172916442252660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.55000000000011300E-2 " "
y[1] (analytic) = 2.0028528368605825 " "
y[1] (numeric) = 2.002852836860587 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21728327552093350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.56000000000011300E-2 " "
y[1] (analytic) = 2.002860406267632 " "
y[1] (numeric) = 2.0028604062676365 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21727489574588570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.57000000000011400E-2 " "
y[1] (analytic) = 2.0028679857320535 " "
y[1] (numeric) = 2.0028679857320584 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43899315539022670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.58000000000011400E-2 " "
y[1] (analytic) = 2.002875575254 " "
y[1] (numeric) = 2.0028755752540044 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21725810298397720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.59000000000011400E-2 " "
y[1] (analytic) = 2.0028831748336233 " "
y[1] (numeric) = 2.0028831748336278 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21724968999728350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.60000000000011600E-2 " "
y[1] (analytic) = 2.002890784471077 " "
y[1] (numeric) = 2.0028907844710813 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21724126594020770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.61000000000011600E-2 " "
y[1] (analytic) = 2.0028984041665137 " "
y[1] (numeric) = 2.002898404166518 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21723283081283400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.62000000000011600E-2 " "
y[1] (analytic) = 2.0029060339200866 " "
y[1] (numeric) = 2.002906033920091 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21722438461524560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.63000000000011600E-2 " "
y[1] (analytic) = 2.0029136737319497 " "
y[1] (numeric) = 2.002913673731954 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21721592734752640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.64000000000011600E-2 " "
y[1] (analytic) = 2.0029213236022563 " "
y[1] (numeric) = 2.0029213236022607 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21720745900976120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.65000000000011700E-2 " "
y[1] (analytic) = 2.0029289835311603 " "
y[1] (numeric) = 2.0029289835311648 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2171989796020330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.66000000000011700E-2 " "
y[1] (analytic) = 2.002936653518816 " "
y[1] (numeric) = 2.0029366535188204 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21719048912442680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.67000000000011700E-2 " "
y[1] (analytic) = 2.002944333565378 " "
y[1] (numeric) = 2.0029443335653823 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21718198757702600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.68000000000011800E-2 " "
y[1] (analytic) = 2.002952023671 " "
y[1] (numeric) = 2.0029520236710043 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21717347495991600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.69000000000011800E-2 " "
y[1] (analytic) = 2.0029597238358368 " "
y[1] (numeric) = 2.0029597238358416 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43888144640049850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.70000000000011800E-2 " "
y[1] (analytic) = 2.0029674340600443 " "
y[1] (numeric) = 2.0029674340600487 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2171564165169040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.71000000000011800E-2 " "
y[1] (analytic) = 2.0029751543437766 " "
y[1] (numeric) = 2.002975154343781 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21714787069117200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.72000000000011800E-2 " "
y[1] (analytic) = 2.0029828846871895 " "
y[1] (numeric) = 2.002982884687194 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21713931379606880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.73000000000011900E-2 " "
y[1] (analytic) = 2.0029906250904386 " "
y[1] (numeric) = 2.002990625090443 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21713074583167940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.74000000000011900E-2 " "
y[1] (analytic) = 2.002998375553679 " "
y[1] (numeric) = 2.0029983755536835 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21712216679808920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.75000000000011900E-2 " "
y[1] (analytic) = 2.0030061360770675 " "
y[1] (numeric) = 2.003006136077072 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2171135766953830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7600000000001200E-2 " "
y[1] (analytic) = 2.0030139066607595 " "
y[1] (numeric) = 2.003013906660764 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21710497552364630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7700000000001200E-2 " "
y[1] (analytic) = 2.003021687304912 " "
y[1] (numeric) = 2.0030216873049165 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21709636328296380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7800000000001200E-2 " "
y[1] (analytic) = 2.003029478009681 " "
y[1] (numeric) = 2.003029478009686 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4387965139707640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.7900000000001200E-2 " "
y[1] (analytic) = 2.0030372787752238 " "
y[1] (numeric) = 2.003037278775228 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2170791055951050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.80000000000012000E-2 " "
y[1] (analytic) = 2.003045089601697 " "
y[1] (numeric) = 2.0030450896017014 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21707046014810000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.81000000000012100E-2 " "
y[1] (analytic) = 2.0030529104892576 " "
y[1] (numeric) = 2.003052910489262 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21706180363249200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.82000000000012100E-2 " "
y[1] (analytic) = 2.003060741438063 " "
y[1] (numeric) = 2.003060741438068 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43875844965320470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.83000000000012100E-2 " "
y[1] (analytic) = 2.0030685824482717 " "
y[1] (numeric) = 2.003068582448276 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21704445739581170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.84000000000012200E-2 " "
y[1] (analytic) = 2.0030764335200404 " "
y[1] (numeric) = 2.003076433520045 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21703576767491100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.85000000000012200E-2 " "
y[1] (analytic) = 2.003084294653527 " "
y[1] (numeric) = 2.003084294653532 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4387297735743280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.86000000000012200E-2 " "
y[1] (analytic) = 2.003092165848891 " "
y[1] (numeric) = 2.0030921658488956 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21701835502842120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.87000000000012200E-2 " "
y[1] (analytic) = 2.0031000471062894 " "
y[1] (numeric) = 2.0031000471062943 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43871059531330540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.88000000000012200E-2 " "
y[1] (analytic) = 2.003107938425882 " "
y[1] (numeric) = 2.0031079384258863 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21700089810958840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.89000000000012400E-2 " "
y[1] (analytic) = 2.003115839807826 " "
y[1] (numeric) = 2.003115839807831 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43869136835308640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.90000000000012400E-2 " "
y[1] (analytic) = 2.003123751252282 " "
y[1] (numeric) = 2.003123751252287 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4386817366110160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.91000000000012400E-2 " "
y[1] (analytic) = 2.0031316727594084 " "
y[1] (numeric) = 2.0031316727594137 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6603695556666550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.92000000000012500E-2 " "
y[1] (analytic) = 2.003139604329365 " "
y[1] (numeric) = 2.00313960432937 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4386624366034340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.93000000000012500E-2 " "
y[1] (analytic) = 2.0031475459623116 " "
y[1] (numeric) = 2.0031475459623165 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4386527683381130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.94000000000012500E-2 " "
y[1] (analytic) = 2.003155497658407 " "
y[1] (numeric) = 2.0031554976584123 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.66033791407116400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.95000000000012500E-2 " "
y[1] (analytic) = 2.003163459417812 " "
y[1] (numeric) = 2.0031634594178174 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6603273403107910000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.96000000000012500E-2 " "
y[1] (analytic) = 2.003171431240687 " "
y[1] (numeric) = 2.0031714312406925 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.66031675326965400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.97000000000012600E-2 " "
y[1] (analytic) = 2.0031794131271923 " "
y[1] (numeric) = 2.0031794131271976 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.66030615294785940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.98000000000012600E-2 " "
y[1] (analytic) = 2.0031874050774885 " "
y[1] (numeric) = 2.003187405077494 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6602955393455110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 7.99000000000012600E-2 " "
y[1] (analytic) = 2.0031954070917366 " "
y[1] (numeric) = 2.0031954070917415 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43859450309082130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.00000000000012700E-2 " "
y[1] (analytic) = 2.003203419170097 " "
y[1] (numeric) = 2.0032034191701023 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.66027427229957600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.01000000000012700E-2 " "
y[1] (analytic) = 2.003211441312732 " "
y[1] (numeric) = 2.003211441312737 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43857498395151640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.02000000000012700E-2 " "
y[1] (analytic) = 2.003219473519802 " "
y[1] (numeric) = 2.003219473519807 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4385652061216348000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.03000000000012700E-2 " "
y[1] (analytic) = 2.00322751579147 " "
y[1] (numeric) = 2.0032275157914747 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43855541611839640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.04000000000012700E-2 " "
y[1] (analytic) = 2.0032355681278964 " "
y[1] (numeric) = 2.0032355681279013 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43854561394189840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.05000000000012800E-2 " "
y[1] (analytic) = 2.0032436305292443 " "
y[1] (numeric) = 2.003243630529249 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4385357995922380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.06000000000012800E-2 " "
y[1] (analytic) = 2.0032517029956756 " "
y[1] (numeric) = 2.0032517029956804 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4385259730695130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.07000000000012800E-2 " "
y[1] (analytic) = 2.003259785527353 " "
y[1] (numeric) = 2.0032597855273577 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.438516134373820100000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.08000000000012900E-2 " "
y[1] (analytic) = 2.003267878124439 " "
y[1] (numeric) = 2.003267878124444 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43850628350525730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.09000000000012900E-2 " "
y[1] (analytic) = 2.003275980787097 " "
y[1] (numeric) = 2.0032759807871017 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43849642046392260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1000000000001290E-2 " "
y[1] (analytic) = 2.003284093515489 " "
y[1] (numeric) = 2.0032840935154943 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.66016714027263300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1100000000001290E-2 " "
y[1] (analytic) = 2.0032922163097795 " "
y[1] (numeric) = 2.003292216309785 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.66015635403272050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1200000000001290E-2 " "
y[1] (analytic) = 2.0033003491701318 " "
y[1] (numeric) = 2.003300349170137 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.66014555451374150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1300000000001300E-2 " "
y[1] (analytic) = 2.0033084920967092 " "
y[1] (numeric) = 2.0033084920967146 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.66013474171580170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.1400000000001300E-2 " "
y[1] (analytic) = 2.003316645089676 " "
y[1] (numeric) = 2.003316645089681 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4384469226690910000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.15000000000013000E-2 " "
y[1] (analytic) = 2.003324808149196 " "
y[1] (numeric) = 2.003324808149201 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4384369865931810000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.16000000000013200E-2 " "
y[1] (analytic) = 2.003332981275434 " "
y[1] (numeric) = 2.003332981275439 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4384270383451861000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.17000000000013200E-2 " "
y[1] (analytic) = 2.003341164468554 " "
y[1] (numeric) = 2.003341164468559 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43841707792520460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.18000000000013200E-2 " "
y[1] (analytic) = 2.0033493577287214 " "
y[1] (numeric) = 2.0033493577287262 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43840710533333560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.19000000000013200E-2 " "
y[1] (analytic) = 2.0033575610561005 " "
y[1] (numeric) = 2.0033575610561054 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4383971205696783000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.20000000000013200E-2 " "
y[1] (analytic) = 2.0033657744508573 " "
y[1] (numeric) = 2.0033657744508617 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21671556694030050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.21000000000013300E-2 " "
y[1] (analytic) = 2.0033739979131564 " "
y[1] (numeric) = 2.003373997913161 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2167064677521750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.22000000000013300E-2 " "
y[1] (analytic) = 2.0033822314431635 " "
y[1] (numeric) = 2.003382231443168 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21669735749905780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.23000000000013300E-2 " "
y[1] (analytic) = 2.0033904750410447 " "
y[1] (numeric) = 2.003390475041049 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21668823618103830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.24000000000013400E-2 " "
y[1] (analytic) = 2.0033987287069657 " "
y[1] (numeric) = 2.00339872870697 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21667910379820800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.25000000000013400E-2 " "
y[1] (analytic) = 2.0034069924410933 " "
y[1] (numeric) = 2.0034069924410973 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99500296431559060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.26000000000013400E-2 " "
y[1] (analytic) = 2.003415266243593 " "
y[1] (numeric) = 2.0034152662435973 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21666080583847500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.27000000000013400E-2 " "
y[1] (analytic) = 2.003423550114632 " "
y[1] (numeric) = 2.0034235501146362 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21665164026175450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.28000000000013400E-2 " "
y[1] (analytic) = 2.003431844054377 " "
y[1] (numeric) = 2.003431844054381 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99497821725852680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.29000000000013500E-2 " "
y[1] (analytic) = 2.003440148062995 " "
y[1] (numeric) = 2.003440148062999 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99496994832355250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.30000000000013500E-2 " "
y[1] (analytic) = 2.003448462140653 " "
y[1] (numeric) = 2.0034484621406574 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21662407714526550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.31000000000013500E-2 " "
y[1] (analytic) = 2.003456786287519 " "
y[1] (numeric) = 2.0034567862875234 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21661486731129680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.32000000000013600E-2 " "
y[1] (analytic) = 2.00346512050376 " "
y[1] (numeric) = 2.0034651205037646 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21660564641324470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.33000000000013600E-2 " "
y[1] (analytic) = 2.0034734647895442 " "
y[1] (numeric) = 2.0034734647895487 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21659641445120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.34000000000013600E-2 " "
y[1] (analytic) = 2.0034818191450396 " "
y[1] (numeric) = 2.003481819145044 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21658717142525400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.35000000000013600E-2 " "
y[1] (analytic) = 2.003490183570414 " "
y[1] (numeric) = 2.003490183570419 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43823570906904960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.36000000000013600E-2 " "
y[1] (analytic) = 2.003498558065837 " "
y[1] (numeric) = 2.003498558065842 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4382255174002290000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.37000000000013700E-2 " "
y[1] (analytic) = 2.003506942631476 " "
y[1] (numeric) = 2.003506942631481 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4382153135614210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.38000000000013700E-2 " "
y[1] (analytic) = 2.003515337267501 " "
y[1] (numeric) = 2.0035153372675056 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21655008868429560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.39000000000013700E-2 " "
y[1] (analytic) = 2.0035237419740803 " "
y[1] (numeric) = 2.003523741974085 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21654079034022150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.40000000000013800E-2 " "
y[1] (analytic) = 2.0035321567513833 " "
y[1] (numeric) = 2.0035321567513877 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2165314809327980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.41000000000013800E-2 " "
y[1] (analytic) = 2.0035405815995793 " "
y[1] (numeric) = 2.003540581599584 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4381743765083289000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.42000000000013800E-2 " "
y[1] (analytic) = 2.0035490165188383 " "
y[1] (numeric) = 2.003549016518843 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43816411182109840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.43000000000013800E-2 " "
y[1] (analytic) = 2.0035574615093306 " "
y[1] (numeric) = 2.003557461509335 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21650348633135260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.44000000000013900E-2 " "
y[1] (analytic) = 2.0035659165712256 " "
y[1] (numeric) = 2.00356591657123 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21649413267145430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4500000000001400E-2 " "
y[1] (analytic) = 2.0035743817046936 " "
y[1] (numeric) = 2.0035743817046985 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43813324474353640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4600000000001400E-2 " "
y[1] (analytic) = 2.003582856909906 " "
y[1] (numeric) = 2.0035828569099103 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2164753921630892000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4700000000001400E-2 " "
y[1] (analytic) = 2.003591342187032 " "
y[1] (numeric) = 2.003591342187037 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4381126058462887000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4800000000001410E-2 " "
y[1] (analytic) = 2.0035998375362443 " "
y[1] (numeric) = 2.003599837536249 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43810226814431040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.4900000000001410E-2 " "
y[1] (analytic) = 2.0036083429577127 " "
y[1] (numeric) = 2.0036083429577176 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4380919182735647000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.50000000000014100E-2 " "
y[1] (analytic) = 2.0036168584516094 " "
y[1] (numeric) = 2.003616858451614 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21643777839468650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.51000000000014100E-2 " "
y[1] (analytic) = 2.0036253840181053 " "
y[1] (numeric) = 2.0036253840181097 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21642834729653070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.52000000000014100E-2 " "
y[1] (analytic) = 2.0036339196573723 " "
y[1] (numeric) = 2.0036339196573767 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21641890513614050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.53000000000014200E-2 " "
y[1] (analytic) = 2.0036424653695826 " "
y[1] (numeric) = 2.003642465369587 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21640945191360770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.54000000000014200E-2 " "
y[1] (analytic) = 2.003651021154908 " "
y[1] (numeric) = 2.0036510211549126 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21639998762902720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.55000000000014200E-2 " "
y[1] (analytic) = 2.003659587013521 " "
y[1] (numeric) = 2.0036595870135256 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21639051228249260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.56000000000014300E-2 " "
y[1] (analytic) = 2.003668162945595 " "
y[1] (numeric) = 2.003668162945599 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99474292328668780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.57000000000014300E-2 " "
y[1] (analytic) = 2.0036767489513014 " "
y[1] (numeric) = 2.0036767489513054 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99473437556354270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.58000000000014300E-2 " "
y[1] (analytic) = 2.003685345030814 " "
y[1] (numeric) = 2.003685345030818 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99472581788489230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.59000000000014300E-2 " "
y[1] (analytic) = 2.0036939511843057 " "
y[1] (numeric) = 2.0036939511843097 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99471725025082230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.60000000000014300E-2 " "
y[1] (analytic) = 2.0037025674119504 " "
y[1] (numeric) = 2.003702567411954 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77307437569903660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.61000000000014400E-2 " "
y[1] (analytic) = 2.003711193713921 " "
y[1] (numeric) = 2.0037111937139245 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7730667423260090000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.62000000000014400E-2 " "
y[1] (analytic) = 2.003719830090392 " "
y[1] (numeric) = 2.0037198300903953 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77305910010394560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.63000000000014400E-2 " "
y[1] (analytic) = 2.0037284765415366 " "
y[1] (numeric) = 2.00372847654154 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7730514490329222000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.64000000000014500E-2 " "
y[1] (analytic) = 2.0037371330675295 " "
y[1] (numeric) = 2.003737133067533 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77304378911301460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.65000000000014500E-2 " "
y[1] (analytic) = 2.003745799668545 " "
y[1] (numeric) = 2.0037457996685486 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77303612034429850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.66000000000014500E-2 " "
y[1] (analytic) = 2.003754476344758 " "
y[1] (numeric) = 2.0037544763447617 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77302844272684970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.67000000000014500E-2 " "
y[1] (analytic) = 2.0037631630963433 " "
y[1] (numeric) = 2.003763163096347 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7730207562607450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.68000000000014500E-2 " "
y[1] (analytic) = 2.003771859923476 " "
y[1] (numeric) = 2.003771859923479 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5513864283278020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.69000000000014600E-2 " "
y[1] (analytic) = 2.0037805668263307 " "
y[1] (numeric) = 2.0037805668263338 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55137968718501160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.70000000000014700E-2 " "
y[1] (analytic) = 2.0037892838050837 " "
y[1] (numeric) = 2.003789283805087 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55137293829984670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.71000000000014700E-2 " "
y[1] (analytic) = 2.00379801085991 " "
y[1] (numeric) = 2.003798010859913 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55136618167237480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.72000000000014800E-2 " "
y[1] (analytic) = 2.003806747990986 " "
y[1] (numeric) = 2.003806747990989 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5513594173026620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.73000000000014800E-2 " "
y[1] (analytic) = 2.0038154951984875 " "
y[1] (numeric) = 2.0038154951984906 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5513526451907760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.74000000000014800E-2 " "
y[1] (analytic) = 2.0038242524825907 " "
y[1] (numeric) = 2.0038242524825938 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55134586533678370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.75000000000014800E-2 " "
y[1] (analytic) = 2.0038330198434724 " "
y[1] (numeric) = 2.0038330198434755 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5513390777407520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.76000000000014800E-2 " "
y[1] (analytic) = 2.003841797281309 " "
y[1] (numeric) = 2.003841797281312 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55133228240274840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.77000000000014900E-2 " "
y[1] (analytic) = 2.0038505847962775 " "
y[1] (numeric) = 2.0038505847962806 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.551325479322839800000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.78000000000014900E-2 " "
y[1] (analytic) = 2.003859382388555 " "
y[1] (numeric) = 2.003859382388558 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55131866850109460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.79000000000014900E-2 " "
y[1] (analytic) = 2.0038681900583186 " "
y[1] (numeric) = 2.0038681900583217 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5513118499375790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8000000000001500E-2 " "
y[1] (analytic) = 2.0038770078057464 " "
y[1] (numeric) = 2.0038770078057495 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.5513050236323610000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8100000000001500E-2 " "
y[1] (analytic) = 2.003885835631016 " "
y[1] (numeric) = 2.003885835631019 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55129818958550820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8200000000001500E-2 " "
y[1] (analytic) = 2.0038946735343046 " "
y[1] (numeric) = 2.0038946735343077 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.55129134779708850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8300000000001500E-2 " "
y[1] (analytic) = 2.0039035215157908 " "
y[1] (numeric) = 2.0039035215157943 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77289656944819400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.8400000000001500E-2 " "
y[1] (analytic) = 2.0039123795756533 " "
y[1] (numeric) = 2.003912379575657 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77288873256665060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.85000000000015100E-2 " "
y[1] (analytic) = 2.00392124771407 " "
y[1] (numeric) = 2.0039212477140738 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77288088683783460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.86000000000015100E-2 " "
y[1] (analytic) = 2.0039301259312206 " "
y[1] (numeric) = 2.003930125931224 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77287303226182360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.87000000000015100E-2 " "
y[1] (analytic) = 2.003939014227283 " "
y[1] (numeric) = 2.003939014227287 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99447331494353260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.88000000000015200E-2 " "
y[1] (analytic) = 2.003947912602437 " "
y[1] (numeric) = 2.003947912602441 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9944644586395940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.89000000000015200E-2 " "
y[1] (analytic) = 2.0039568210568617 " "
y[1] (numeric) = 2.0039568210568657 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9944555923828240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.90000000000015200E-2 " "
y[1] (analytic) = 2.003965739590737 " "
y[1] (numeric) = 2.0039657395907406 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77284152548738640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.91000000000015200E-2 " "
y[1] (analytic) = 2.003974668204242 " "
y[1] (numeric) = 2.003974668204246 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99443783001114040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.92000000000015200E-2 " "
y[1] (analytic) = 2.003983606897558 " "
y[1] (numeric) = 2.0039836068975614 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.77282571901902440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.93000000000015300E-2 " "
y[1] (analytic) = 2.0039925556708638 " "
y[1] (numeric) = 2.0039925556708673 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7728178025148310000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.94000000000015300E-2 " "
y[1] (analytic) = 2.00400151452434 " "
y[1] (numeric) = 2.004001514524344 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99441111180957610000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.95000000000015300E-2 " "
y[1] (analytic) = 2.0040104834581682 " "
y[1] (numeric) = 2.0040104834581722 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99440218583766340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.96000000000015500E-2 " "
y[1] (analytic) = 2.0040194624725287 " "
y[1] (numeric) = 2.0040194624725327 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99439324991353580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.97000000000015500E-2 " "
y[1] (analytic) = 2.0040284515676023 " "
y[1] (numeric) = 2.0040284515676063 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99438430403728160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.98000000000015500E-2 " "
y[1] (analytic) = 2.0040374507435703 " "
y[1] (numeric) = 2.0040374507435743 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99437534820898930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 8.99000000000015500E-2 " "
y[1] (analytic) = 2.0040464600006147 " "
y[1] (numeric) = 2.0040464600006183 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.7727701177144420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.00000000000015500E-2 " "
y[1] (analytic) = 2.004055479338916 " "
y[1] (numeric) = 2.00405547933892 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99435740669664570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.01000000000015600E-2 " "
y[1] (analytic) = 2.004064508758657 " "
y[1] (numeric) = 2.004064508758661 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99434842101277150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.02000000000015600E-2 " "
y[1] (analytic) = 2.0040735482600196 " "
y[1] (numeric) = 2.0040735482600236 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9943394253772148000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.03000000000015600E-2 " "
y[1] (analytic) = 2.004082597843186 " "
y[1] (numeric) = 2.00408259784319 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99433041979006400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.04000000000015700E-2 " "
y[1] (analytic) = 2.0040916575083383 " "
y[1] (numeric) = 2.0040916575083423 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99432140425140930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.05000000000015700E-2 " "
y[1] (analytic) = 2.00410072725566 " "
y[1] (numeric) = 2.004100727255664 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99431237876133840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.06000000000015700E-2 " "
y[1] (analytic) = 2.004109807085333 " "
y[1] (numeric) = 2.004109807085337 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9943033433199422000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.07000000000015700E-2 " "
y[1] (analytic) = 2.004118896997541 " "
y[1] (numeric) = 2.004118896997545 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99429429792730840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.08000000000015700E-2 " "
y[1] (analytic) = 2.0041279969924677 " "
y[1] (numeric) = 2.0041279969924717 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9942852425835280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.09000000000015800E-2 " "
y[1] (analytic) = 2.0041371070702954 " "
y[1] (numeric) = 2.0041371070703 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2158624192096560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.10000000000015800E-2 " "
y[1] (analytic) = 2.004146227231209 " "
y[1] (numeric) = 2.0041462272312134 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21585233560320500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.11000000000015800E-2 " "
y[1] (analytic) = 2.004155357475392 " "
y[1] (numeric) = 2.0041553574753963 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2158422409402230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.12000000000015900E-2 " "
y[1] (analytic) = 2.004164497803028 " "
y[1] (numeric) = 2.0041644978030324 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21583213522081020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.13000000000015900E-2 " "
y[1] (analytic) = 2.004173648214302 " "
y[1] (numeric) = 2.0041736482143064 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2158220184450660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.14000000000015900E-2 " "
y[1] (analytic) = 2.0041828087093987 " "
y[1] (numeric) = 2.0041828087094027 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99423070155178130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1500000000001590E-2 " "
y[1] (analytic) = 2.004191979288502 " "
y[1] (numeric) = 2.0041919792885063 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21580175172498420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1600000000001590E-2 " "
y[1] (analytic) = 2.0042011599517973 " "
y[1] (numeric) = 2.0042011599518017 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21579160178084800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1700000000001600E-2 " "
y[1] (analytic) = 2.00421035069947 " "
y[1] (numeric) = 2.0042103506994744 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2157814407807810000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1800000000001600E-2 " "
y[1] (analytic) = 2.0042195515317056 " "
y[1] (numeric) = 2.0042195515317096 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9941941418523960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.1900000000001600E-2 " "
y[1] (analytic) = 2.004228762448689 " "
y[1] (numeric) = 2.004228762448693 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99418497705193350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.20000000000016100E-2 " "
y[1] (analytic) = 2.004237983450606 " "
y[1] (numeric) = 2.00423798345061 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99417580230140560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.21000000000016100E-2 " "
y[1] (analytic) = 2.0042472145376435 " "
y[1] (numeric) = 2.0042472145376475 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.9941666176009030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.22000000000016100E-2 " "
y[1] (analytic) = 2.004256455709987 " "
y[1] (numeric) = 2.004256455709991 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99415742295051660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.23000000000016100E-2 " "
y[1] (analytic) = 2.0042657069678227 " "
y[1] (numeric) = 2.0042657069678267 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99414821835033760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.24000000000016100E-2 " "
y[1] (analytic) = 2.004274968311338 " "
y[1] (numeric) = 2.004274968311342 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.99413900380045670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.25000000000016300E-2 " "
y[1] (analytic) = 2.0042842397407186 " "
y[1] (numeric) = 2.004284239740723 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21569975477885120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.26000000000016300E-2 " "
y[1] (analytic) = 2.0042935212561526 " "
y[1] (numeric) = 2.004293521256157 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21568949427995070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.27000000000016300E-2 " "
y[1] (analytic) = 2.004302812857827 " "
y[1] (numeric) = 2.0043028128578313 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21567922272613020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.28000000000016400E-2 " "
y[1] (analytic) = 2.0043121145459284 " "
y[1] (numeric) = 2.004312114545933 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21566894011749170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.29000000000016400E-2 " "
y[1] (analytic) = 2.0043214263206455 " "
y[1] (numeric) = 2.00432142632065 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21565864645413670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.30000000000016400E-2 " "
y[1] (analytic) = 2.0043307481821655 " "
y[1] (numeric) = 2.00433074818217 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21564834173616720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.31000000000016400E-2 " "
y[1] (analytic) = 2.0043400801306768 " "
y[1] (numeric) = 2.004340080130681 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21563802596368460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.32000000000016400E-2 " "
y[1] (analytic) = 2.0043494221663676 " "
y[1] (numeric) = 2.004349422166372 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21562769913679150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.33000000000016500E-2 " "
y[1] (analytic) = 2.004358774289426 " "
y[1] (numeric) = 2.0043587742894307 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21561736125558930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.34000000000016500E-2 " "
y[1] (analytic) = 2.0043681365000414 " "
y[1] (numeric) = 2.004368136500046 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21560701232018130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.35000000000016500E-2 " "
y[1] (analytic) = 2.004377508798402 " "
y[1] (numeric) = 2.0043775087984064 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21559665233066940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.36000000000016600E-2 " "
y[1] (analytic) = 2.0043868911846974 " "
y[1] (numeric) = 2.004386891184702 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21558628128715550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.37000000000016600E-2 " "
y[1] (analytic) = 2.0043962836591165 " "
y[1] (numeric) = 2.004396283659121 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.2155758991897430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.38000000000016600E-2 " "
y[1] (analytic) = 2.004405686221849 " "
y[1] (numeric) = 2.0044056862218533 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.21556550603853430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.39000000000016600E-2 " "
y[1] (analytic) = 2.0044150988730842 " "
y[1] (numeric) = 2.004415098873089 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4371106120169952000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.40000000000016600E-2 " "
y[1] (analytic) = 2.004424521613013 " "
y[1] (numeric) = 2.004424521613018 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4370991552326530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.41000000000016700E-2 " "
y[1] (analytic) = 2.004433954441825 " "
y[1] (numeric) = 2.0044339544418297 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43708768628947470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.42000000000016700E-2 " "
y[1] (analytic) = 2.0044433973597098 " "
y[1] (numeric) = 2.0044433973597147 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43707620518757330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.43000000000016700E-2 " "
y[1] (analytic) = 2.004452850366859 " "
y[1] (numeric) = 2.0044528503668637 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.43706471192706280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.44000000000016800E-2 " "
y[1] (analytic) = 2.004462313463463 " "
y[1] (numeric) = 2.004462313463468 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4370532065080560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.45000000000016800E-2 " "
y[1] (analytic) = 2.0044717866497126 " "
y[1] (numeric) = 2.0044717866497175 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4370416889306679000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.46000000000016800E-2 " "
y[1] (analytic) = 2.0044812699257992 " "
y[1] (numeric) = 2.004481269925804 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.4370301591950114000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.47000000000016800E-2 " "
y[1] (analytic) = 2.004490763291914 " "
y[1] (numeric) = 2.004490763291919 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6585657643285830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.48000000000016800E-2 " "
y[1] (analytic) = 2.0045002667482485 " "
y[1] (numeric) = 2.004500266748254 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6585531599083820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.49000000000016900E-2 " "
y[1] (analytic) = 2.004509780294995 " "
y[1] (numeric) = 2.0045097802950003 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.658540542224989700000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5000000000001690E-2 " "
y[1] (analytic) = 2.004519303932345 " "
y[1] (numeric) = 2.00451930393235 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.6585279112785310000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5100000000001690E-2 " "
y[1] (analytic) = 2.0045288376604904 " "
y[1] (numeric) = 2.0045288376604957 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.658515267069130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5200000000001700E-2 " "
y[1] (analytic) = 2.0045383814796245 " "
y[1] (numeric) = 2.00453838147963 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.65850260959691160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5300000000001710E-2 " "
y[1] (analytic) = 2.004547935389939 " "
y[1] (numeric) = 2.0045479353899447 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88003076710050270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.5400000000001710E-2 " "
y[1] (analytic) = 2.0045574993916273 " "
y[1] (numeric) = 2.004557499391633 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88001702610323650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.55000000000017100E-2 " "
y[1] (analytic) = 2.0045670734848824 " "
y[1] (numeric) = 2.004567073484888 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.88000327073832550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.56000000000017100E-2 " "
y[1] (analytic) = 2.0045766576698973 " "
y[1] (numeric) = 2.004576657669903 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8799895010059057000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.57000000000017200E-2 " "
y[1] (analytic) = 2.004586251946866 " "
y[1] (numeric) = 2.0045862519468716 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.87997571690611350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.58000000000017200E-2 " "
y[1] (analytic) = 2.0045958563159814 " "
y[1] (numeric) = 2.004595856315987 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8799619184390850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.59000000000017200E-2 " "
y[1] (analytic) = 2.0046054707774377 " "
y[1] (numeric) = 2.0046054707774434 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8799481056049570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.60000000000017300E-2 " "
y[1] (analytic) = 2.004615095331429 " "
y[1] (numeric) = 2.0046150953314346 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.87993427840386560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.61000000000017300E-2 " "
y[1] (analytic) = 2.0046247299781492 " "
y[1] (numeric) = 2.004624729978155 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8799204368359470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.62000000000017300E-2 " "
y[1] (analytic) = 2.0046343747177935 " "
y[1] (numeric) = 2.0046343747177993 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8799065809013390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.63000000000017300E-2 " "
y[1] (analytic) = 2.0046440295505557 " "
y[1] (numeric) = 2.004644029550562 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.10142291910788460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.64000000000017300E-2 " "
y[1] (analytic) = 2.0046536944766316 " "
y[1] (numeric) = 2.0046536944766378 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.10140796638895540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.65000000000017400E-2 " "
y[1] (analytic) = 2.0046633694962157 " "
y[1] (numeric) = 2.004663369496222 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.101392998198650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.66000000000017400E-2 " "
y[1] (analytic) = 2.0046730546095035 " "
y[1] (numeric) = 2.0046730546095097 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.10137801453711560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.67000000000017400E-2 " "
y[1] (analytic) = 2.004682749816691 " "
y[1] (numeric) = 2.004682749816697 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.10136301540449970000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.68000000000017500E-2 " "
y[1] (analytic) = 2.004692455117973 " "
y[1] (numeric) = 2.004692455117979 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.10134800080095140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.69000000000017500E-2 " "
y[1] (analytic) = 2.004702170513546 " "
y[1] (numeric) = 2.004702170513552 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.1013329707266190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.70000000000017500E-2 " "
y[1] (analytic) = 2.004711896003606 " "
y[1] (numeric) = 2.004711896003612 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.1013179251816510000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.71000000000017500E-2 " "
y[1] (analytic) = 2.004721631588349 " "
y[1] (numeric) = 2.0047216315883554 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.1013028641661960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.72000000000017500E-2 " "
y[1] (analytic) = 2.0047313772679725 " "
y[1] (numeric) = 2.0047313772679787 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.10128778768040240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.73000000000017600E-2 " "
y[1] (analytic) = 2.0047411330426725 " "
y[1] (numeric) = 2.0047411330426788 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.101272695724420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.74000000000017600E-2 " "
y[1] (analytic) = 2.004750898912646 " "
y[1] (numeric) = 2.0047508989126523 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.1012575882983970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.75000000000017600E-2 " "
y[1] (analytic) = 2.004760674878091 " "
y[1] (numeric) = 2.004760674878097 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.10124246540248340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.76000000000017700E-2 " "
y[1] (analytic) = 2.0047704609392034 " "
y[1] (numeric) = 2.0047704609392096 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.10122732703682850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.77000000000017700E-2 " "
y[1] (analytic) = 2.004780257096182 " "
y[1] (numeric) = 2.004780257096188 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.1012121732015824000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.78000000000017700E-2 " "
y[1] (analytic) = 2.0047900633492244 " "
y[1] (numeric) = 2.00479006334923 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8796829321899720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.79000000000017700E-2 " "
y[1] (analytic) = 2.004799879698528 " "
y[1] (numeric) = 2.004799879698534 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.87966883204270440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.80000000000017700E-2 " "
y[1] (analytic) = 2.0048097061442918 " "
y[1] (numeric) = 2.0048097061442975 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8796547175312326000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.81000000000017900E-2 " "
y[1] (analytic) = 2.0048195426867137 " "
y[1] (numeric) = 2.0048195426867195 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8796405886556970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.82000000000017900E-2 " "
y[1] (analytic) = 2.0048293893259928 " "
y[1] (numeric) = 2.0048293893259985 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.87962644541623740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.83000000000017900E-2 " "
y[1] (analytic) = 2.0048392460623274 " "
y[1] (numeric) = 2.004839246062333 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.87961228781299260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.84000000000018000E-2 " "
y[1] (analytic) = 2.004849112895917 " "
y[1] (numeric) = 2.004849112895923 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8795981158461030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.8500000000001800E-2 " "
y[1] (analytic) = 2.0048589898269604 " "
y[1] (numeric) = 2.0048589898269666 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.10109038563230240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.8600000000001800E-2 " "
y[1] (analytic) = 2.004868876855658 " "
y[1] (numeric) = 2.0048688768556637 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.87956972882194960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.8700000000001800E-2 " "
y[1] (analytic) = 2.0048787739822083 " "
y[1] (numeric) = 2.004878773982214 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.87955551376496640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.8800000000001800E-2 " "
y[1] (analytic) = 2.0048886812068116 " "
y[1] (numeric) = 2.0048886812068174 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.87954128434490000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.8900000000001810E-2 " "
y[1] (analytic) = 2.0048985985296683 " "
y[1] (numeric) = 2.004898598529674 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8795270405618890000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.90000000000018100E-2 " "
y[1] (analytic) = 2.0049085259509782 " "
y[1] (numeric) = 2.0049085259509845 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.10101376567885060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.91000000000018100E-2 " "
y[1] (analytic) = 2.0049184634709425 " "
y[1] (numeric) = 2.0049184634709487 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.1009983952851080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.92000000000018200E-2 " "
y[1] (analytic) = 2.0049284110897614 " "
y[1] (numeric) = 2.0049284110897676 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.10098300942403500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.93000000000018200E-2 " "
y[1] (analytic) = 2.0049383688076357 " "
y[1] (numeric) = 2.004938368807642 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.1009676080957840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.94000000000018200E-2 " "
y[1] (analytic) = 2.004948336624767 " "
y[1] (numeric) = 2.004948336624773 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.10095219130050670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.95000000000018200E-2 " "
y[1] (analytic) = 2.0049583145413563 " "
y[1] (numeric) = 2.0049583145413625 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.1009367590383550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.96000000000018200E-2 " "
y[1] (analytic) = 2.004968302557605 " "
y[1] (numeric) = 2.0049683025576113 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.1009213113094830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.97000000000018300E-2 " "
y[1] (analytic) = 2.0049783006737156 " "
y[1] (numeric) = 2.0049783006737214 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8794125732487520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.98000000000018300E-2 " "
y[1] (analytic) = 2.004988308889889 " "
y[1] (numeric) = 2.004988308889895 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.87939820020559840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 9.99000000000018300E-2 " "
y[1] (analytic) = 2.0049983272063283 " "
y[1] (numeric) = 2.004998327206334 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8793838128009147000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = 0.10000000000000184 " "
y[1] (analytic) = 2.0050083556232354 " "
y[1] (numeric) = 2.005008355623241 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 2.8793694110348430000000000000E-13 "%"
h = 1.0000E-4 " "
"Finished!"
"Maximum Iterations Reached before Solution Completed!"
"diff ( y , x , 1 ) = tan ( x ) ;"
Iterations = 1000
"Total Elapsed Time "= 11 Minutes 41 Seconds
"Elapsed Time(since restart) "= 11 Minutes 41 Seconds
"Expected Time Remaining "= 9 Hours 32 Minutes 31 Seconds
"Optimized Time Remaining "= 9 Hours 32 Minutes 22 Seconds
"Time to Timeout "= 3 Minutes 18 Seconds
Percent Done = 2.002000000000037 "%"
(%o51) true
(%o51) diffeq.max