##############ECHO OF PROBLEM#################
##############temp/mult_sin_sinpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   sin ( x )   *  sin ( x )  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.1) 
x_end=c(0.2) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
$glob_type_given_pole=3 
#  ELIMINATED in preodein.rb
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE  BLOCK
$glob_desired_digits_correct=8 
$glob_max_minutes=(3.0) 
$glob_subiter_method=3 
$glob_max_iter=100000 
$glob_upper_ratio_limit=c(1.000001) 
$glob_lower_ratio_limit=c(0.999999) 
$glob_look_poles=false 
$glob_h=c(0.001) 
$glob_display_interval=c(0.01) 
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
x = c(x)

return(((sin(c(x))) * cos(c(x)))/c(-2.0) + c(x)/c(2.0)) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1 
y[1] (closed_form)               0.00033266730123469174 
y[1] (numeric)                   0.00033266730123469174 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   16 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.11000000000000001 
y[1] (closed_form)               0.0004425942297826696 
y[1] (numeric)                   0.0004425942297826656 
absolute error                   4.0115480381963664e-18 
relative error                   9.063715178045107e-13%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   15 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.12000000000000002 
y[1] (closed_form)               0.0005743433932163533 
y[1] (numeric)                   0.0005743433932163488 
absolute error                   4.553649124439119e-18 
relative error                   7.928443468181018e-13%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   15 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.13000000000000003 
y[1] (closed_form)               0.0007298620269612227 
y[1] (numeric)                   0.0007298620269612214 
absolute error                   1.3010426069826053e-18 
relative error                   1.7825870629267977e-13%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   15 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.14000000000000004 
y[1] (closed_form)               0.0009110878589715654 
y[1] (numeric)                   0.0009110878589715626 
absolute error                   2.8189256484623115e-18 
relative error                   3.094021746315784e-13%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   15 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.15000000000000005 
y[1] (closed_form)               0.0011199483346651107 
y[1] (numeric)                   0.0011199483346651022 
absolute error                   8.456776945386935e-18 
relative error                   7.551042029019757e-13%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   15 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.16000000000000006 
y[1] (closed_form)               0.001358359845970561 
y[1] (numeric)                   0.0013583598459705546 
absolute error                   6.288372600415926e-18 
relative error                   4.629386402336433e-13%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   15 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.17000000000000007 
y[1] (closed_form)               0.001628226964796406 
y[1] (numeric)                   0.0016282269647963975 
absolute error                   8.456776945386935e-18 
relative error                   5.193856340810799e-13%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   15 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.18000000000000008 
y[1] (closed_form)               0.001931441681227497 
y[1] (numeric)                   0.0019314416812275027 
absolute error                   5.637851296924623e-18 
relative error                   2.918986036037897e-13%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   15 
h                                0.001 
 
TOP MAIN SOLVE Loop
x[1]                             0.19000000000000009 
y[1] (closed_form)               0.0022698826467543315 
y[1] (numeric)                   0.0022698826467543293 
absolute error                   2.168404344971009e-18 
relative error                   9.552935910900835e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
Finished!
diff  (  y  ,  x  ,  1  )   =   sin ( x )   *  sin ( x )  ; 
Iterations                      100 
Total Elapsed Time              0 Seconds
Elapsed Time(since restart)     0 Seconds
Time to Timeout                 3 Minutes 0.0 Seconds
Percent Done                    101.00000000000009%