Title

Analytical And Numerical Solutions Of The Density Dependent Diffusion Nagumo Equation

Keywords

Analytical solution; Nagumo equation; Numerical solution; Runge-Kutta-Fehlberg 45 method

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. © 2008 Elsevier B.V. All rights reserved.

Publication Date

7-28-2008

Publication Title

Physics Letters, Section A: General, Atomic and Solid State Physics

Volume

372

Issue

31

Number of Pages

5152-5158

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.physleta.2008.05.068

Socpus ID

46749118324 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/46749118324

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