Example description

nag_pde_parab_1d_coll (d03pdc) Example Program Results

 Polynomial degree =   3   No. of elements =    9

 Accuracy requirement =    1.000e-04  Number of points =    28

  t /   x    -1.0000 -0.6000 -0.2000  0.2000  0.6000  1.0000

(User-supplied callback uinit, first invocation.)
(User-supplied callback pdedef, first invocation.)
(User-supplied callback bndary, first invocation.)

 0.0001 u(1)  1.0000  0.8090  0.3090 -0.3090 -0.8090 -1.0000
        u(2) -2.4850 -1.9957 -0.7623  0.7623  1.9957  2.4850

 0.0010 u(1)  1.0000  0.8085  0.3088 -0.3088 -0.8085 -1.0000
        u(2) -2.5583 -1.9913 -0.7606  0.7606  1.9913  2.5583

 0.0100 u(1)  1.0000  0.8051  0.3068 -0.3068 -0.8051 -1.0000
        u(2) -2.6962 -1.9481 -0.7439  0.7439  1.9481  2.6962

 0.1000 u(1)  1.0000  0.7951  0.2985 -0.2985 -0.7951 -1.0000
        u(2) -2.9022 -1.8339 -0.6338  0.6338  1.8339  2.9022

 1.0000 u(1)  1.0000  0.7939  0.2972 -0.2972 -0.7939 -1.0000
        u(2) -2.9233 -1.8247 -0.6120  0.6120  1.8247  2.9233

 Number of integration steps in time                      50
 Number of residual evaluations of resulting ODE system  407
 Number of Jacobian evaluations                           18
 Number of iterations of nonlinear solver                122