07-Jan-2022 19:16:48

etdrk4_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2.
  Test etdrk4().

allencahn_etdrk4_test():
  allencahn_etdrk4() solves the Allen-Cahn equation
  using the ETDRK4 method.
  Graphics saved as "allencahn_etdrk4_test.png"

allencahn_euler_test():
  allencahn_euler() solves the Allen-Cahn equations
  using the Euler method.
  Graphics saved as "allencahn_euler_test.png"

burgers_etdrk4_test():
  burgers_etdrk4() solves the Burgers equation
  using the etdrk4 method.
  Graphics saved as "burgers_etdrk4_test.png"

cheb_test():
  cheb() carries out Chebyshev differentiation.

  The Chebyshev points:

     1:            1
     2:     0.809017
     3:     0.309017
     4:    -0.309017
     5:    -0.809017
     6:           -1

  The Chebyshev differentiation matrix:

  Col:       1             2             3             4             5       
  Row
      1 :         8.5      -10.4721       2.89443      -1.52786       1.10557  
      2 :     2.61803      -1.17082            -2      0.894427     -0.618034  
      3 :   -0.723607             2      -0.17082      -1.61803      0.894427  
      4 :    0.381966     -0.894427       1.61803       0.17082            -2  
      5 :   -0.276393      0.618034     -0.894427             2       1.17082  
      6 :         0.5      -1.10557       1.52786      -2.89443       10.4721  

  Col:       6       
  Row
      1 :        -0.5  
      2 :    0.276393  
      3 :   -0.381966  
      4 :    0.723607  
      5 :    -2.61803  
      6 :        -8.5  

cheb_plot_test():
  cheb() carries out Chebyshev differentiation.
  Here, demonstrate differentation of a smooth function.
  Graphics saved as "cheb_plot_test.png"

kdv_etdrk4_test():
  kdv_etdrk4() solves the Korteweg-deVries equation
  using the etdrk4 method.
  Graphics saved as "kdv_etdrk4_test.png"

kdv_ift_test():
  kdv_ift() solves the Korteweg-deVries equation
  using the FFT method with an integrating factor.
  Graphics saved as "kdv_ift_test.png"

kursiv_etdrk4_test()
  kursiv_etdrk4() solves the Kuratomo-Sivashinsky equation
  using the ETDRK4 method.
  Graphics saved as "kursiv_etdrk4_test.png"

etdrk4_test():
  Normal end of execution.

07-Jan-2022 19:17:05