\(2N\) order compact finite difference scheme with collocation method for solving the generalized Burger's-Huxley and Burger's-Fisher equations

DOI10.1016/j.amc.2015.02.009zbMath1339.65118OpenAlexW2092333333MaRDI QIDQ300166

M. S. El-Azab, D. A. Hammad

Publication date: 23 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.009

zbMATH Keywords

collocation method\(2N\) order compact finite difference schemegeneralized Burger's-Fisher equationgeneralized Burger's-Huxley equationtwo-dimensional unsteady Burger's equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Cites Work

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• The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers' equations
• Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
• A computational meshless method for the generalized Burger's-Huxley equation
• Lattice Boltzmann model for two-dimensional unsteady Burgers' equation
• Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations
• High-order finite difference schemes for numerical solutions of the generalized Burgers-Huxley equation
• A compact finite difference method for the solution of the generalized Burgersâ Fisher equation
• Solitary wave solutions of the generalised Burgers-Huxley equation
• An efficient high-order algorithm for solving systems of reaction-diffusion equations

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