09 April 2025 12:25:35 PM

standing_wave_exact_test():
  C version
  Test standing_wave_exact(),
  an exact standing wave solution of the wave equation.

  parameters:
    c     = 0.2
    xmin  = -1
    xmax  = 1
    t0    = 0
    tstop = 5

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

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

        -1         0   -0.841471               0
      -0.8         0   -0.717356               0
      -0.6         0   -0.564642               0
      -0.4         0   -0.389418               0
      -0.2         0   -0.198669               0
         0         0           0               0
       0.2         0    0.198669               0
       0.4         0    0.389418               0
       0.6         0    0.564642               0
       0.8         0    0.717356               0
         1         0    0.841471               0

        -1      1.25   -0.815312     6.93889e-18
      -0.8      1.25   -0.695055               0
      -0.6      1.25   -0.547089     3.46945e-18
      -0.4      1.25   -0.377312               0
      -0.2      1.25   -0.192493    -8.67362e-19
         0      1.25           0               0
       0.2      1.25    0.192493     8.67362e-19
       0.4      1.25    0.377312               0
       0.6      1.25    0.547089    -3.46945e-18
       0.8      1.25    0.695055               0
         1      1.25    0.815312    -6.93889e-18

        -1       2.5    -0.73846               0
      -0.8       2.5   -0.629539               0
      -0.6       2.5    -0.49552     3.46945e-18
      -0.4       2.5   -0.341747               0
      -0.2       2.5   -0.174349               0
         0       2.5           0               0
       0.2       2.5    0.174349               0
       0.4       2.5    0.341747               0
       0.6       2.5     0.49552    -3.46945e-18
       0.8       2.5    0.629539               0
         1       2.5     0.73846               0

        -1      3.75   -0.615695               0
      -0.8      3.75   -0.524881               0
      -0.6      3.75   -0.413143               0
      -0.4      3.75   -0.284933    -1.73472e-18
      -0.2      3.75   -0.145364    -8.67362e-19
         0      3.75           0               0
       0.2      3.75    0.145364     8.67362e-19
       0.4      3.75    0.284933     1.73472e-18
       0.6      3.75    0.413143               0
       0.8      3.75    0.524881               0
         1      3.75    0.615695               0

        -1         5   -0.454649               0
      -0.8         5   -0.387589     1.73472e-18
      -0.6         5   -0.305078               0
      -0.4         5   -0.210404               0
      -0.2         5   -0.107341               0
         0         5           0               0
       0.2         5    0.107341               0
       0.4         5    0.210404               0
       0.6         5    0.305078               0
       0.8         5    0.387589    -1.73472e-18
         1         5    0.454649               0


standing_wave_exact_test():
  Normal end of execution.
09 April 2025 12:25:35 PM