Wed Nov 15 09:57:16 2023

kdv_exact_test():
  Python version: 3.8.10
  Test kdv_exact().

kdv_exact_rational_test():
  Test kdv_exact_rational().

  Parameters:
    t0    = 0.0
    tstop = 10.0

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

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

      0.00      0.00  ********  ********
      0.20      0.00    150.00  3.49246e-10
      0.40      0.00     37.50  1.09139e-11
      0.60      0.00     16.67  1.59162e-12
      0.80      0.00      9.38  3.41061e-13
      1.00      0.00      6.00  0

      0.00      2.00     -0.00  0
      0.20      2.00     -0.10  2.77556e-17
      0.40      2.00     -0.20  -1.11022e-16
      0.60      2.00     -0.29  0
      0.80      2.00     -0.38  -2.22045e-16
      1.00      2.00     -0.45  1.11022e-16

      0.00      4.00     -0.00  0
      0.20      4.00     -0.05  -3.46945e-17
      0.40      4.00     -0.10  -5.55112e-17
      0.60      4.00     -0.15  2.77556e-17
      0.80      4.00     -0.19  -8.32667e-17
      1.00      4.00     -0.24  2.77556e-17

      0.00      6.00     -0.00  0
      0.20      6.00     -0.03  6.93889e-18
      0.40      6.00     -0.07  -2.08167e-17
      0.60      6.00     -0.10  -2.77556e-17
      0.80      6.00     -0.13  0
      1.00      6.00     -0.16  -1.38778e-17

      0.00      8.00     -0.00  0
      0.20      8.00     -0.02  -1.73472e-18
      0.40      8.00     -0.05  -1.04083e-17
      0.60      8.00     -0.07  -6.93889e-18
      0.80      8.00     -0.10  -6.93889e-18
      1.00      8.00     -0.12  1.38778e-17

      0.00     10.00     -0.00  0
      0.20     10.00     -0.02  -5.20417e-18
      0.40     10.00     -0.04  -6.93889e-18
      0.60     10.00     -0.06  3.46945e-18
      0.80     10.00     -0.08  -6.93889e-18
      1.00     10.00     -0.10  6.93889e-18


kdv_exact_sech_test():
  Test kdv_exact_sech().

  Parameters:
    a     = 0.0
    v     = 1.0
    t0    = 0.0
    tstop = 10.0

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

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

      0.00      0.00     -0.50  0
      0.20      0.00     -0.50  -1.38778e-17
      0.40      0.00     -0.48  -2.77556e-17
      0.60      0.00     -0.46  -2.77556e-17
      0.80      0.00     -0.43  0
      1.00      0.00     -0.39  5.55112e-17

      0.00      2.00     -0.21  2.77556e-17
      0.20      2.00     -0.24  4.16334e-17
      0.40      2.00     -0.28  8.32667e-17
      0.60      2.00     -0.32  2.77556e-17
      0.80      2.00     -0.36  2.77556e-17
      1.00      2.00     -0.39  -5.55112e-17

      0.00      4.00     -0.04  -6.93889e-18
      0.20      4.00     -0.04  -3.46945e-18
      0.40      4.00     -0.05  0
      0.60      4.00     -0.06  0
      0.80      4.00     -0.08  0
      1.00      4.00     -0.09  -1.38778e-17

      0.00      6.00     -0.00  0
      0.20      6.00     -0.01  -8.67362e-19
      0.40      6.00     -0.01  1.73472e-18
      0.60      6.00     -0.01  0
      0.80      6.00     -0.01  1.73472e-18
      1.00      6.00     -0.01  0

      0.00      8.00     -0.00  1.0842e-19
      0.20      8.00     -0.00  1.0842e-19
      0.40      8.00     -0.00  4.33681e-19
      0.60      8.00     -0.00  0
      0.80      8.00     -0.00  2.1684e-19
      1.00      8.00     -0.00  2.1684e-19

      0.00     10.00     -0.00  0
      0.20     10.00     -0.00  2.71051e-20
      0.40     10.00     -0.00  0
      0.60     10.00     -0.00  0
      0.80     10.00     -0.00  0
      1.00     10.00     -0.00  0


kdv_exact_test():
  Normal end of execution.
Wed Nov 15 09:57:16 2023