Example description

nag_pde_parab_1d_fd_ode_remesh (d03ppc) Example Program Results

  Accuracy requirement =   5.000e-05 Number of points =  61

  Remeshing every   3 time steps

  e =   0.005


(User-supplied callback uvinit, first invocation.)
(User-supplied callback pdedef, first invocation.)
(User-supplied callback monitf, first invocation.)
(User-supplied callback bndary, first invocation.)
 t =  0.200
 x              0.3000    0.4000    0.5000    0.6000    0.7000
 Approx sol.    0.9968    0.7448    0.4700    0.1667    0.1018
 Exact  sol.    0.9967    0.7495    0.4700    0.1672    0.1015

 t =  0.400
 x              0.4000    0.5000    0.6000    0.7000    0.8000
 Approx sol.    1.0003    0.9601    0.4088    0.1154    0.1005
 Exact  sol.    0.9997    0.9615    0.4094    0.1157    0.1003

 t =  0.600
 x              0.6000    0.6500    0.7000    0.7500    0.8000
 Approx sol.    0.9966    0.9390    0.3978    0.1264    0.1037
 Exact  sol.    0.9964    0.9428    0.4077    0.1270    0.1033

 t =  0.800
 x              0.7000    0.7500    0.8000    0.8500    0.9000
 Approx sol.    1.0003    0.9872    0.5450    0.1151    0.1010
 Exact  sol.    0.9996    0.9878    0.5695    0.1156    0.1008

 t =  1.000
 x              0.8000    0.8500    0.9000    0.9500    1.0000
 Approx sol.    1.0001    0.9961    0.7324    0.1245    0.1004
 Exact  sol.    0.9999    0.9961    0.7567    0.1273    0.1004

 Number of integration steps in time =    205
 Number of function evaluations =   4872
 Number of Jacobian evaluations =     71
 Number of iterations =    518