##############ECHO OF PROBLEM#################
##############temp/nonlinear1postode.ode#################
diff ( y , x , 1 ) = y * y;
!
// BEGIN FIRST INPUT BLOCK
Digits = 32;
max_terms = 30;
!
// END FIRST INPUT BLOCK
// BEGIN SECOND INPUT BLOCK
x_start = 0.0;
x_end = 0.5 ;
array_y_init[0 + 1] = exact_soln_y(x_start);
glob_h =    0.01;
glob_look_poles = true;
glob_max_iter = 1000000;
// END SECOND INPUT BLOCK
// BEGIN OVERRIDE  BLOCK
glob_h = 0.005 ;
glob_display_interval = 0.1;
glob_look_poles = true;
glob_max_iter = 10000;
glob_max_minutes = 10;
// END OVERRIDE BLOCK
!
// BEGIN USER DEF BLOCK
double exact_soln_y (double x) { 
return(1.0/(1.0 - x));
}
// END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
x[1]                              = 0                                            
y[1] (analytic)                   = 1                                            
y[1] (numeric)                    = 1                                            
absolute error                    = 0                                            
relative error                    = 0                                          % 
Correct digits                    = 16                                  
h                                 = 0.005                                        
 
TOP MAIN SOLVE Loop
NO POLE
x[1]                              = 0.1                                          
y[1] (analytic)                   = 1.111111111111111                            
y[1] (numeric)                    = 1.111111111129932                            
absolute error                    = 1.882050071344565e-11                        
relative error                    = 1.693845064210109e-09                      % 
Correct digits                    = 10                                  
h                                 = 0.005                                        
 
TOP MAIN SOLVE Loop
NO POLE
x[1]                              = 0.2000000000000001                           
y[1] (analytic)                   = 1.25                                         
y[1] (numeric)                    = 1.250000000065838                            
absolute error                    = 6.583733558329641e-11                        
relative error                    = 5.266986846663712e-09                      % 
Correct digits                    = 10                                  
h                                 = 0.005                                        
 
TOP MAIN SOLVE Loop
NO POLE
x[1]                              = 0.3000000000000002                           
y[1] (analytic)                   = 1.428571428571429                            
y[1] (numeric)                    = 1.428571428761617                            
absolute error                    = 1.901885315902518e-10                        
relative error                    = 1.331319721131763e-08                      % 
Correct digits                    = 9                                   
h                                 = 0.005                                        
 
TOP MAIN SOLVE Loop
NO POLE
x[1]                              = 0.4000000000000002                           
y[1] (analytic)                   = 1.666666666666667                            
y[1] (numeric)                    = 1.666666667221878                            
absolute error                    = 5.552103221617699e-10                        
relative error                    = 3.331261932970618e-08                      % 
Correct digits                    = 9                                   
h                                 = 0.005                                        
 
TOP MAIN SOLVE Loop
NO POLE
x[1]                              = 0.5000000000000003                           
y[1] (analytic)                   = 2.000000000000001                            
y[1] (numeric)                    = 2.000000001815232                            
absolute error                    = 1.815231076562895e-09                        
relative error                    = 9.07615538281447e-08                       % 
Correct digits                    = 9                                   
h                                 = 0.005                                        
Finished!
diff ( y , x , 1 ) = y * y;
Iterations                        = 100                                 
Total Elapsed Time               = 3 Seconds
Elapsed Time(since restart)      = 3 Seconds
Time to Timeout                  = 9 Minutes 57 Seconds
Percent Done                     = 101                                        %