Title

Analytical and numerical solutions of the density dependent diffusion Nagumo equation

Authors

Authors

R. A. Van Gorder;K. Vajravelu

Comments

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Abbreviated Journal Title

Phys. Lett. A

Keywords

analytical solution; numerical solution; Runge-Kutta-Fehlberg 45 method; Nagumo equation; Physics, Multidisciplinary

Abstract

In this Letter, we obtained solutions to a class of density dependent diffusion Nagumo equations. In particular, series solutions are obtained, along with a bound for the range of the convergence. Also, numerical solutions are obtained by the Runge-Kutta-Fehlberg 45 method. Moreover, the dependence of the traveling wave solutions on various parameters is discussed. Furthermore, we compare the series solutions with the numerical solutions to validate the numerical method. The results obtained in this study reveal many interesting behaviors that warrant further study on the Nagumo equation. (c) 2008 Elsevier B.V. All rights reserved.

Journal Title

Physics Letters A

Volume

372

Issue/Number

31

Publication Date

1-1-2008

Document Type

Article

Language

English

First Page

5152

Last Page

5158

WOS Identifier

WOS:000258282600011

ISSN

0375-9601

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