Analytical and numerical solutions of the density dependent Nagumo telegraph equation

    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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