06 October 2025   6:52:04.702 PM

traveling_wave_exact_test():
  Fortran90 version
  Test traveling_wave_exact(),
  an exact traveling wave solution of the wave equation.

  parameters:
    a     =    2.00000    
    k     =    6.00000    
    w     =    1.00000    
    phi   =   0.785398    
    xmin  =   -1.00000    
    xmax  =    1.00000    
    t0    =    0.00000    
    tstop =    5.00000    

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

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

   -1.0000    0.0000   1.753       -0.222045E-15
   -0.8000    0.0000   1.533         0.00000    
   -0.6000    0.0000  -.6424         0.00000    
   -0.4000    0.0000  -1.998         0.00000    
   -0.2000    0.0000  -.8057         0.00000    
    0.0000    0.0000   1.414         0.00000    
    0.2000    0.0000   1.831         0.00000    
    0.4000    0.0000  -.8758E-01    0.138778E-16
    0.6000    0.0000  -1.894         0.00000    
    0.8000    0.0000  -1.285         0.00000    
    1.0000    0.0000  0.9627         0.00000    

   -1.0000    1.2500   1.466         0.00000    
   -0.8000    1.2500  -.7362         0.00000    
   -0.6000    1.2500  -2.000         0.00000    
   -0.4000    1.2500  -.7132         0.00000    
   -0.2000    1.2500   1.483         0.00000    
    0.0000    1.2500   1.788       -0.222045E-15
    0.2000    1.2500  -.1873         0.00000    
    0.4000    1.2500  -1.924         0.00000    
    0.6000    1.2500  -1.207        0.222045E-15
    0.8000    1.2500   1.049         0.00000    
    1.0000    1.2500   1.967         0.00000    

   -1.0000    2.5000  -.8283        0.111022E-15
   -0.8000    2.5000  -1.997         0.00000    
   -0.6000    2.5000  -.6189         0.00000    
   -0.4000    2.5000   1.548         0.00000    
   -0.2000    2.5000   1.741       -0.222045E-15
    0.0000    2.5000  -.2866         0.00000    
    0.2000    2.5000  -1.949         0.00000    
    0.4000    2.5000  -1.126         0.00000    
    0.6000    2.5000   1.133         0.00000    
    0.8000    2.5000   1.947         0.00000    
    1.0000    2.5000  0.2779         0.00000    

   -1.0000    3.7500  -1.989        0.222045E-15
   -0.8000    3.7500  -.5230         0.00000    
   -0.6000    3.7500   1.610         0.00000    
   -0.4000    3.7500   1.690         0.00000    
   -0.2000    3.7500  -.3852        0.555112E-16
    0.0000    3.7500  -1.969        0.222045E-15
    0.2000    3.7500  -1.042         0.00000    
    0.4000    3.7500   1.214         0.00000    
    0.6000    3.7500   1.921       -0.222045E-15
    0.8000    3.7500  0.1785         0.00000    
    1.0000    3.7500  -1.792         0.00000    

   -1.0000    5.0000  -.4259         0.00000    
   -0.8000    5.0000   1.667       -0.222045E-15
   -0.6000    5.0000   1.634         0.00000    
   -0.4000    5.0000  -.4828        0.555112E-16
   -0.2000    5.0000  -1.984         0.00000    
    0.0000    5.0000  -.9550        0.111022E-15
    0.2000    5.0000   1.292         0.00000    
    0.4000    5.0000   1.891         0.00000    
    0.6000    5.0000  0.7874E-01     0.00000    
    0.8000    5.0000  -1.834         0.00000    
    1.0000    5.0000  -1.408         0.00000    


traveling_wave_exact_test():
  Normal end of execution.
06 October 2025   6:52:04.702 PM