Tue Oct 19 11:34:20 2021

fd1d_heat_explicit_test():
  Python version: 3.6.9
  Test fd1d_heat_explicit().

fd1d_heat_explicit_test01:
  Python version: 3.6.9
  Compute an approximate solution to the time-dependent
  one dimensional heat equation:

    dH/dt - K * d2H/dx2 = f(x,t)

  Run a simple test case.

  Number of X nodes = 21
  X interval is [0.000000,1.000000]
  X spacing is 0.050000
  Number of T values = 201
  T interval is [0.000000,80.000000]
  T spacing is 0.400000
  Constant K = 0.002
  CFL coefficient = 0.32

  H(X,T) written to "h_test01.txt"
  T values written to "t_test01.txt"
  X values written to "x_test01.txt"

fd1d_heat_explicit_test01:
  Normal end of execution.

fd1d_heat_explicit_test02:
  Python version: 3.6.9
  Compute an approximate solution to the time-dependent
  one dimensional heat equation for a problem where we
  know the exact solution.

    dH/dt - K * d2H/dx2 = f(x,t)

  Run a simple test case.

  Number of X nodes = 21
  X interval is [0.000000,1.000000]
  X spacing is 0.050000
  Number of T values = 26
  T interval is [0.000000,10.000000]
  T spacing is 0.400000
  Constant K = 0.002
  CFL coefficient = 0.32

  Step            Time       RMS Error

     0               0       0.0242461
     1             0.4       0.0162526
     2             0.8       0.0108945
     3             1.2      0.00730278
     4             1.6       0.0048952
     5               2      0.00328135
     6             2.4      0.00219955
     7             2.8      0.00147441
     8             3.2     0.000988323
     9             3.6     0.000662493
    10               4     0.000444082
    11             4.4     0.000297677
    12             4.8     0.000199539
    13             5.2     0.000133755
    14             5.6     8.96587e-05
    15               6        6.01e-05
    16             6.4     4.02862e-05
    17             6.8     2.70047e-05
    18             7.2     1.81018e-05
    19             7.6      1.2134e-05
    20               8     8.13365e-06
    21             8.4     5.45215e-06
    22             8.8     3.65468e-06
    23             9.2     2.44981e-06
    24             9.6     1.64216e-06
    25              10     1.10077e-06

  G(X,T) written to "g_test02.txt"
  H(X,T) written to "h_test02.txt"
  T values written to "t_test02.txt"
  X values written to "x_test02.txt"

fd1d_heat_explicit_test02:
  Normal end of execution.

fd1d_heat_explicit_test03:
  Python version: 3.6.9
  Compute an approximate solution to the time-dependent
  one dimensional heat equation:

    dH/dt - K * d2H/dx2 = f(x,t)

  Run a simple test case.

  Number of X nodes = 21
  X interval is [-5.000000,5.000000]
  X spacing is 0.500000
  Number of T values = 81
  T interval is [0.000000,4.000000]
  T spacing is 0.050000
  Constant K = 2
  CFL coefficient = 0.4

  H(X,T) written to "h_test03.txt"
  T values written to "t_test03.txt"
  X values written to "x_test3.txt"

fd1d_heat_explicit_test03:
  Normal end of execution.

fd1d_heat_explicit_test():
  Normal end of execution.
Tue Oct 19 11:34:21 2021