fisher_pde_ftcs, a Python 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.
The information on this web page is distributed under the MIT license.
fisher_pde_ftcs is available in a MATLAB version and an Octave version and an Octave version.
allen_cahn_pde, a Python code which sets up and solves the Allen-Cahn reaction-diffusion system of partial differential equations (PDE) du/dt = nu * uxx - u * (u^2-1) / (2*xi) in 1 space dimension and time.
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fisher_exact, a Python code which returns an exact solution of the Kolmogorov Petrovsky Piskonov Fisher partial differential equation (PDE) ut=uxx+u*(1-u).
