nag_pde_parab_1d_cd_ode (d03plc) Example Program Results


Example 1

 npts =  141 atol =  1.000e-05 rtol =  2.500e-04

(User-supplied callback bndry1, first invocation.)
(User-supplied callback pdedef, first invocation.)
(User-supplied callback odedef, first invocation.)
(User-supplied callback nmflx1, first invocation.)
 t =  0.500

        x        Approx u1   Exact u1    Approx u2   Exact u2

      0.0000     -0.0432     -0.0432      0.0432      0.0432
      0.1429     -0.0220     -0.0220     -0.0001     -0.0000
      0.2857     -0.0200     -0.0199     -0.0232     -0.0231
      0.4286     -0.0123     -0.0123     -0.0176     -0.0176
      0.5714      0.0249      0.0245      0.0227      0.0224
      0.7143      0.0835      0.0827      0.0833      0.0825
      0.8571      0.1043      0.1036      0.1046      0.1039
      1.0000     -0.0010     -0.0001     -0.0008      0.0001

 Number of integration steps in time =    159
 Number of function evaluations =   1156
 Number of Jacobian evaluations =    16
 Number of iterations =    415



Example 2

 gamma = 1.400  elo = 2.500  ero = 0.250  rlo = 1.000  rro = 0.125

 npts =  141 atol =  5.000e-03 rtol =  5.000e-04

    x    APPROX d EXACT d  APPROX v EXACT v  APPROX p EXACT p
(User-supplied callback bndry2, first invocation.)
(User-supplied callback nmflx2, first invocation.)

 t =  0.100

 0.2000   1.0000   1.0000  -0.0000   0.0000   1.0000   1.0000
 0.3000   1.0000   1.0000  -0.0000   0.0000   1.0000   1.0000
 0.4000   0.8668   0.8775   0.1665   0.1527   0.8188   0.8327
 0.5000   0.4299   0.4263   0.9182   0.9275   0.3071   0.3031
 0.6000   0.2969   0.2656   0.9274   0.9275   0.3028   0.3031
 0.7000   0.1250   0.1250   0.0000   0.0000   0.1000   0.1000
 0.8000   0.1250   0.1250  -0.0000   0.0000   0.1000   0.1000
 0.9000   0.1250   0.1250  -0.0000   0.0000   0.1000   0.1000

 t =  0.200

 0.2000   1.0000   1.0000  -0.0000   0.0000   1.0000   1.0000
 0.3000   0.8718   0.8775   0.1601   0.1527   0.8253   0.8327
 0.4000   0.6113   0.6029   0.5543   0.5693   0.5022   0.4925
 0.5000   0.4245   0.4263   0.9314   0.9275   0.3014   0.3031
 0.6000   0.4259   0.4263   0.9277   0.9275   0.3030   0.3031
 0.7000   0.2772   0.2656   0.9272   0.9275   0.3031   0.3031
 0.8000   0.2657   0.2656   0.9276   0.9275   0.3032   0.3031
 0.9000   0.1250   0.1250  -0.0000   0.0000   0.1000   0.1000

 Number of integration steps in time =    170
 Number of function evaluations =    411
 Number of Jacobian evaluations =     1
 Number of iterations =      2