Example description

nag_ode_bvp_coll_nlin_diag (d02tzc) Example Program Results


 Tolerance =  1.0e-05  eps =  1.000e-04
(User-supplied callback guess, first invocation.)
(User-supplied callback gafun, first invocation.)
(User-supplied callback gajac, first invocation.)
(User-supplied callback gbfun, first invocation.)
(User-supplied callback gbjac, first invocation.)
(User-supplied callback ffun, first invocation.)
(User-supplied callback fjac, first invocation.)

 Used a mesh of   25  points
 Maximum error =   2.15e-06  in interval   16  for component    1 

 Solution and derivative at every second point:
   x           u          u'
  0.0000    -0.33333     1.00000 
  0.0750    -0.25833     1.00000 
  0.1500    -0.18333     1.00000 
  0.2250    -0.10833     1.00002 
  0.3000    -0.03332     1.00372 
  0.4000    -0.00001     0.00084 
  0.5000    -0.00000     0.00000 
  0.6000     0.00001     0.00084 
  0.7000     0.03332     1.00372 
  0.7750     0.10833     1.00002 
  0.8500     0.18333     1.00000 
  0.9250     0.25833     1.00000 
  1.0000     0.33333     1.00000 

 Tolerance =  1.0e-05  eps =  1.000e-05

 Used a mesh of   49  points
 Maximum error =   2.11e-06  in interval   32  for component    1 

 Solution and derivative at every second point:
   x           u          u'
  0.0000    -0.33333     1.00014 
  0.0375    -0.29583     1.00018 
  0.0750    -0.25833     1.00022 
  0.1125    -0.22083     1.00029 
  0.1500    -0.18333     1.00040 
  0.1875    -0.14583     1.00059 
  0.2250    -0.10833     1.00098 
  0.2625    -0.07083     1.00202 
  0.3000    -0.03333     1.00745 
  0.3500    -0.00001     0.00354 
  0.4000    -0.00000     0.00000 
  0.4500    -0.00000     0.00000 
  0.5000     0.00000    -0.00000 
  0.5500     0.00000     0.00000 
  0.6000     0.00000     0.00000 
  0.6500     0.00001     0.00354 
  0.7000     0.03333     1.00745 
  0.7375     0.07083     1.00202 
  0.7750     0.10833     1.00098 
  0.8125     0.14583     1.00059 
  0.8500     0.18333     1.00040 
  0.8875     0.22083     1.00029 
  0.9250     0.25833     1.00022 
  0.9625     0.29583     1.00018 
  1.0000     0.33333     1.00014