fisher_pde_ftcs


fisher_pde_ftcs, an Octave code which estimates a solution of the Kolmogorov Petrovsky Piskonov Fisher partial differential equation (PDE) ut=uxx+u*(1-u), using the forward time centered space (FTCS) method, with an oscillating Dirichlet condition on the left, and a zero Neumann condition on the right. An animation of the solution is created.

The use of the explicit FTCS method requires that the time steps be small; otherwise the computed solution will become unstable.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

fisher_pde_ftcs is available in a MATLAB version and an Octave version. .

Related Data and codes:

fisher_pde_ftcs_test

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fd1d_burgers_lax, an Octave code which applies the finite difference method and the Lax-Wendroff method to solve the non-viscous time-dependent Burgers equation in one spatial dimension.

fd1d_burgers_leap, an Octave code which applies the finite difference method and the leapfrog approach to solve the non-viscous time-dependent Burgers equation in one spatial dimension.

fd1d_heat_explicit, an Octave code which uses the finite difference method and explicit time stepping to solve the time dependent heat equation in 1D.

fd1d_heat_implicit, an Octave code which uses the finite difference method and implicit time stepping to solve the time dependent heat equation in 1D.

fd1d_wave, an Octave code which applies the finite difference method to solve the time-dependent wave equation utt = c * uxx in one spatial dimension.

References:

  1. Mark Ablowitz, Anthony Zeppetella,
    Explicit solutions of Fisher's equation for a special wave speed,
    Bulletin of Mathematical Biology,
    Volume 41, pages 835-840, 1979.
  2. Daniel Arrigo,
    Analytical Techniques for Solving Nonlinear Partial Differential Equations,
    Morgan and Clayfoot, 2019,
    ISBN: 978 168 173 5351.

Source Code:


Last revised on 14 September 2024.