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13-May-2025 13:33:41

fd1d_advection_ftcs_test():
  MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7
  Test fd1d_advection_ftcs().

FD1D_ADVECTION_FTCS:
  MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7

  Solve the constant-velocity advection equation in 1D,
    du/dt = - c du/dx
  over the interval:
    0.0 <= x <= 1.0
  with periodic boundary conditions, and
  with a given initial condition
    u(0,x) = (10x-4)^2 (6-10x)^2 for 0.4 <= x <= 0.6
           = 0 elsewhere.

  We use a method known as FTCS:
   FT: Forward Time  : du/dt = (u(t+dt,x)-u(t,x))/dt
   CS: Centered Space: du/dx = (u(t,x+dx)-u(t,x-dx))/2/dx

  Number of nodes NX = 101
  Number of time steps NT = 1000
  Constant velocity C = 1

FD1D_ADVECTION_FTCS
  Normal end of execution.
  Graphics saved as "fd1d_advection_ftcs_test.png".

fd1d_advection_ftcs_test():
  Normal end of execution.

13-May-2025 13:33:47