01 May 2024 08:38:14 AM

kdv_exact_test():
  C version
  Test kdv_exact().

kdv_exact_rational_test():
  Test kdv_exact_rational().

  Parameters:
    t0    = 0
    tstop = 10

  Evaluate solution and residual at selected points (X,T)

      T       X       U(X,T)      Resid(X,T)

             0             0     Undefined     Undefined
             0           0.2           150   3.49246e-10
             0           0.4          37.5   1.09139e-11
             0           0.6       16.6667   6.82121e-13
             0           0.8         9.375   3.41061e-13
             0             1             6             0

             2             0            -0             0
             2           0.2    -0.0999167   2.77556e-17
             2           0.4     -0.198672  -1.11022e-16
             2           0.6     -0.293346             0
             2           0.8     -0.379374  -2.22045e-16
             2             1       -0.4512   1.11022e-16

             4             0            -0             0
             4           0.2    -0.0499792  -3.46945e-17
             4           0.4    -0.0996674  -5.55112e-17
             4           0.6     -0.148325             0
             4           0.8     -0.194756  -8.32667e-17
             4             1     -0.237401   2.77556e-17

             6             0            -0             0
             6           0.2    -0.0333241   6.93889e-18
             6           0.4    -0.0665187  -2.08167e-17
             6           0.6    -0.0992536             0
             6           0.8      -0.13099             0
             6             1     -0.161006  -1.38778e-17

             8             0            -0             0
             8           0.2    -0.0249948  -1.73472e-18
             8           0.4    -0.0499168  -1.04083e-17
             8           0.6    -0.0745796             0
             8           0.8     -0.098678  -6.93889e-18
             8             1     -0.121798   1.38778e-17

            10             0            -0             0
            10           0.2    -0.0199967  -5.20417e-18
            10           0.4    -0.0399467  -6.93889e-18
            10           0.6    -0.0597308  -3.46945e-18
            10           0.8    -0.0791525  -6.93889e-18
            10             1    -0.0979441   6.93889e-18


kdv_exact_sech_test():
  Test kdv_exact_sech().

  Parameters:
    a     = 0
    v     = 1
    t0    = 0
    tstop = 10

  Evaluate solution and residual at selected points (X,T)

      T       X       U(X,T)      Resid(X,T)

             0             0     Undefined     Undefined
             0           0.2     -0.495033  -1.38778e-17
             0           0.4     -0.480521  -2.77556e-17
             0           0.6     -0.457568             0
             0           0.8     -0.427819             0
             0             1     -0.393224   5.55112e-17

             2             0     -0.209987   2.77556e-17
             2           0.2     -0.243459   4.16334e-17
             2           0.4     -0.279528   2.77556e-17
             2           0.6      -0.31737  -5.55112e-17
             2           0.8     -0.355789  -5.55112e-17
             2             1     -0.393224  -5.55112e-17

             4             0    -0.0353254  -6.93889e-18
             4           0.2     -0.042805  -3.46945e-18
             4           0.4    -0.0517792             0
             4           0.6    -0.0625049             0
             4           0.8    -0.0752635             0
             4             1    -0.0903533   6.93889e-18

             6             0   -0.00493302             0
             6           0.2   -0.00601861             0
             6           0.4   -0.00734133   1.73472e-18
             6           0.6   -0.00895211             0
             6           0.8    -0.0109124   1.73472e-18
             6             1    -0.0132961             0

             8             0  -0.000670475    1.0842e-19
             8           0.2  -0.000818799   -1.0842e-19
             8           0.4  -0.000999902             0
             8           0.6   -0.00122101  -4.33681e-19
             8           0.8   -0.00149094             0
             8             1   -0.00182044    2.1684e-19

            10             0  -9.07916e-05             0
            10           0.2  -0.000110891             0
            10           0.4  -0.000135439             0
            10           0.6  -0.000165421             0
            10           0.8  -0.000202038  -2.71051e-20
            10             1  -0.000246759             0


kdv_exact_test():
  Normal end of execution.

01 May 2024 08:38:14 AM