Systematic Investigation of the Explicit, Dynamically Consistent Methods for Fisher’s Equation

We systematically investigate the performance of numerical methods to solve Fisher’s equation, which contains a linear diffusion term and a nonlinear logistic term. The usual explicit finite difference algorithms are only conditionally stable for this equation, and they can yield concentrations belo...

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Bibliographic Details

Published in:	Computation
Main Authors:	Husniddin Khayrullaev, Issa Omle, Endre Kovács
Format:	Article
Language:	English
Published:	MDPI AG 2024-03-01
Subjects:	diffusion Fisher’s equation explicit time integration stiff equations anisotropic systems
Online Access:	https://www.mdpi.com/2079-3197/12/3/49