12 April 2025 09:04:27 AM

traveling_wave_exact_test():
  C++ version
  Test traveling_wave_exact(),
  an exact traveling wave solution of the wave equation.

  parameters:
    a     = 2
    k     = 6
    w     = 1
    phi   = 0.785398
    xmin  = -1
    xmax  = 1
    t0    = 0
    tstop = 5

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

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

        -1         0     1.75304    -2.22045e-16
      -0.8         0     1.53253               0
      -0.6         0    -0.64239               0
      -0.4         0    -1.99808               0
      -0.2         0   -0.805651               0
         0         0     1.41421               0
       0.2         0     1.83055               0
       0.4         0   -0.087583     1.38778e-17
       0.6         0    -1.89403               0
       0.8         0    -1.28505               0
         1         0    0.962733               0

        -1      1.25     1.46639               0
      -0.8      1.25   -0.736249               0
      -0.6      1.25    -1.99996               0
      -0.4      1.25   -0.713155               0
      -0.2      1.25     1.48313               0
         0      1.25       1.788    -2.22045e-16
       0.2      1.25   -0.187336               0
       0.4      1.25    -1.92377               0
       0.6      1.25    -1.20685     2.22045e-16
       0.8      1.25     1.04914               0
         1      1.25     1.96718               0

        -1       2.5   -0.828267     1.11022e-16
      -0.8       2.5    -1.99684               0
      -0.6       2.5   -0.618876               0
      -0.4       2.5     1.54833               0
      -0.2       2.5     1.74098    -2.22045e-16
         0       2.5   -0.286621               0
       0.2       2.5     -1.9487               0
       0.4       2.5    -1.12563               0
       0.6       2.5     1.13293               0
       0.8       2.5     1.94668               0
         1       2.5    0.277858               0

        -1      3.75    -1.98873     2.22045e-16
      -0.8      3.75    -0.52305               0
      -0.6      3.75     1.60967               0
      -0.4      3.75      1.6896               0
      -0.2      3.75   -0.385189     5.55112e-17
         0      3.75    -1.96876     2.22045e-16
       0.2      3.75     -1.0416               0
       0.4      3.75     1.21389               0
       0.6      3.75     1.92133    -2.22045e-16
       0.8      3.75    0.178522               0
         1      3.75    -1.79195               0

        -1         5   -0.425917               0
      -0.8         5     1.66698    -2.22045e-16
      -0.6         5     1.63401               0
      -0.4         5   -0.482795     5.55112e-17
      -0.2         5    -1.98389               0
         0         5   -0.954965     1.11022e-16
       0.2         5     1.29182               0
       0.4         5     1.89116               0
       0.6         5   0.0787392               0
       0.8         5     -1.8341               0
         1         5    -1.40794               0


traveling_wave_exact_test():
  Normal end of execution.
12 April 2025 09:04:27 AM