15-Nov-2023 07:11:39

kdv_exact_test():
  MATLAB/Octave version 5.2.0
  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)

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

  0.000000  0.000000  *****  *****
  0.200000  0.000000  150.000000  3.49246e-10
  0.400000  0.000000  37.500000  1.09139e-11
  0.600000  0.000000  16.666667  1.59162e-12
  0.800000  0.000000  9.375000  3.41061e-13
  1.000000  0.000000  6.000000  0

  0.000000  2.000000  -0.000000  0
  0.200000  2.000000  -0.099917  2.77556e-17
  0.400000  2.000000  -0.198672  -1.11022e-16
  0.600000  2.000000  -0.293346  0
  0.800000  2.000000  -0.379374  -2.22045e-16
  1.000000  2.000000  -0.451200  1.11022e-16

  0.000000  4.000000  -0.000000  0
  0.200000  4.000000  -0.049979  -3.46945e-17
  0.400000  4.000000  -0.099667  -5.55112e-17
  0.600000  4.000000  -0.148325  2.77556e-17
  0.800000  4.000000  -0.194756  -8.32667e-17
  1.000000  4.000000  -0.237401  2.77556e-17

  0.000000  6.000000  -0.000000  0
  0.200000  6.000000  -0.033324  6.93889e-18
  0.400000  6.000000  -0.066519  -2.08167e-17
  0.600000  6.000000  -0.099254  -2.77556e-17
  0.800000  6.000000  -0.130990  0
  1.000000  6.000000  -0.161006  -1.38778e-17

  0.000000  8.000000  -0.000000  0
  0.200000  8.000000  -0.024995  -1.73472e-18
  0.400000  8.000000  -0.049917  -1.04083e-17
  0.600000  8.000000  -0.074580  -6.93889e-18
  0.800000  8.000000  -0.098678  -6.93889e-18
  1.000000  8.000000  -0.121798  1.38778e-17

  0.000000  10.000000  -0.000000  0
  0.200000  10.000000  -0.019997  -5.20417e-18
  0.400000  10.000000  -0.039947  -6.93889e-18
  0.600000  10.000000  -0.059731  3.46945e-18
  0.800000  10.000000  -0.079152  -6.93889e-18
  1.000000  10.000000  -0.097944  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)

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

  0.000000  0.000000  -0.500000  0
  0.200000  0.000000  -0.495033  -1.38778e-17
  0.400000  0.000000  -0.480521  -2.77556e-17
  0.600000  0.000000  -0.457568  0
  0.800000  0.000000  -0.427819  0
  1.000000  0.000000  -0.393224  5.55112e-17

  0.000000  2.000000  -0.209987  2.77556e-17
  0.200000  2.000000  -0.243459  4.16334e-17
  0.400000  2.000000  -0.279528  2.77556e-17
  0.600000  2.000000  -0.317370  -5.55112e-17
  0.800000  2.000000  -0.355789  -5.55112e-17
  1.000000  2.000000  -0.393224  -5.55112e-17

  0.000000  4.000000  -0.035325  -6.93889e-18
  0.200000  4.000000  -0.042805  -3.46945e-18
  0.400000  4.000000  -0.051779  0
  0.600000  4.000000  -0.062505  0
  0.800000  4.000000  -0.075264  0
  1.000000  4.000000  -0.090353  6.93889e-18

  0.000000  6.000000  -0.004933  0
  0.200000  6.000000  -0.006019  0
  0.400000  6.000000  -0.007341  1.73472e-18
  0.600000  6.000000  -0.008952  0
  0.800000  6.000000  -0.010912  1.73472e-18
  1.000000  6.000000  -0.013296  0

  0.000000  8.000000  -0.000670  1.0842e-19
  0.200000  8.000000  -0.000819  -1.0842e-19
  0.400000  8.000000  -0.001000  0
  0.600000  8.000000  -0.001221  -4.33681e-19
  0.800000  8.000000  -0.001491  0
  1.000000  8.000000  -0.001820  2.1684e-19

  0.000000  10.000000  -0.000091  0
  0.200000  10.000000  -0.000111  0
  0.400000  10.000000  -0.000135  0
  0.600000  10.000000  -0.000165  0
  0.800000  10.000000  -0.000202  -2.71051e-20
  1.000000  10.000000  -0.000247  0


kdv_exact_test():
  Normal end of execution.

15-Nov-2023 07:11:39