Fri Mar 14 21:20:47 2025

chebyshev_matrix_test():
  python version: 3.10.12
  numpy version:  1.26.4
  Test chebyshev_matrix().

chebyshev_grid_print():
  Print the Chebyshev grid points.

  The Chebyshev grid points, n =  5
[ 1.          0.80901699  0.30901699 -0.30901699 -0.80901699 -1.        ]

chebyshev_matrix_print():
  Print a Chebyshev differentiation matrix.
size of n =  5

  Chebyshev differentiation matrix for n =  5
[[  8.5        -10.47213595   2.89442719  -1.52786405   1.10557281
   -0.5       ]
 [  2.61803399  -1.17082039  -2.           0.89442719  -0.61803399
    0.2763932 ]
 [ -0.7236068    2.          -0.17082039  -1.61803399   0.89442719
   -0.38196601]
 [  0.38196601  -0.89442719   1.61803399   0.17082039  -2.
    0.7236068 ]
 [ -0.2763932    0.61803399  -0.89442719   2.           1.17082039
   -2.61803399]
 [  0.5         -1.10557281   1.52786405  -2.89442719  10.47213595
   -8.5       ]]

chebyshev_differentiation_test():
  Use the  Chebyshev differentiation matrix to estimate
  the derivative of a smooth function.
size of n =  10
chebyshev_differentiation_n10.png
  Graphics saved as "chebyshev_differentiation_n10.png"
size of n =  20
chebyshev_differentiation_n20.png
  Graphics saved as "chebyshev_differentiation_n20.png"

chebyshev_matrix_test():
  Normal end of execution.
Fri Mar 14 21:20:48 2025