>> fd1d_heat_explicit_test
31-Jan-2012 16:11:18

FD1D_HEAT_EXPLICIT_TEST:
  MATLAB version.
  Test the FD1D_HEAT_EXPLICIT library.

FD1D_HEAT_EXPLICIT_TEST01:
  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_TEST02:
  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

     1               0               0
     2             0.4      0.00799341
     3             0.8        0.012993
     4             1.2       0.0161381
     5             1.6       0.0180811
     6               2       0.0192428
     7             2.4       0.0198965
     8             2.8       0.0202214
     9             3.2       0.0203344
    10             3.6       0.0203125
    11               4       0.0202057
    12             4.4       0.0200468
    13             4.8       0.0198571
    14             5.2       0.0196504
    15             5.6       0.0194353
    16               6       0.0192174
    17             6.4       0.0190003
    18             6.8       0.0187859
    19             7.2       0.0185754
    20             7.6       0.0183695
    21               8       0.0181684
    22             8.4       0.0179722
    23             8.8       0.0177809
    24             9.2       0.0175942
    25             9.6       0.0174119
    26              10       0.0172339

  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_TEST03:
  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_TEST:
  Normal end of execution.

31-Jan-2012 16:11:19
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