Title

Analytical and numerical solutions of the density dependent Nagumo telegraph equation

Authors

Authors

R. A. Van Gorder;K. Vajravelu

Comments

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Abbreviated Journal Title

Nonlinear Anal.-Real World Appl.

Keywords

Analytical solution; Numerical solution; Runge-Kutta-Fehlberg 45 method; Nagumo telegraph equation; DIFFUSION-EQUATIONS; SYSTEMS; Mathematics, Applied

Abstract

In this paper, we obtained analytical and numerical solutions to a class of density dependent diffusion equations with memory-delay effect. This is a generalization of the density dependent diffusion Nagumo equation we studied recently [RA. Van Corder, K. Vajravelu, Physics Letters A 372 (2008) 5152]. Furthermore, we obtained series solutions for various strengths of the density dependence along with bounds on the range of the convergence. The numerical solutions are obtained by the Runge-Kutta-Fehlberg 45 method. The dependence of the traveling wave solutions on various parameters, particularly the memory-delay term, is discussed. (C) 2010 Elsevier Ltd. All rights reserved.

Journal Title

Nonlinear Analysis-Real World Applications

Volume

11

Issue/Number

5

Publication Date

1-1-2010

Document Type

Article

Language

English

First Page

3923

Last Page

3929

WOS Identifier

WOS:000281390000056

ISSN

1468-1218

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