Analytical and numerical solutions of the density dependent diffusion Nagumo equation

    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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