Development of Galerkin Method for Solving the Generalized Burger's-Huxley Equation-Reference-Cited by-同舟云学术

Development of Galerkin Method for Solving the Generalized Burger's-Huxley Equation

Published:2013 Issue: Volume:2013 Page:1-9
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

El-Kady M.¹^ORCID,El-Sayed S. M.²,Fathy H. E.³^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt

2. Department of Scientific Computing, Faculty of Computers and Informatics, Benha University, Benha 13518, Egypt

3. Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

Abstract

Numerical treatments for the generalized Burger's—Huxley GBH equation are presented. The treatments are based on cardinal Chebyshev and Legendre basis functions with Galerkin method. Gauss quadrature formula and El-gendi method are used to convert the problem into a system of ordinary differential equations. The numerical results are compared with the literatures to show efficiency of the proposed methods.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2013/165492.pdf

Reference21 articles.

1. A quantitative description of membrane current and its application to conduction and excitation in nerve

2. Solitary wave solutions of the generalised Burgers-Huxley equation

3. Numerical solution of the generalized Burger’s equation via spectral/spline methods

4. Numerical simulation of the generalized Huxley equation by He’s variational iteration method

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