Title

Analytical And Numerical Solutions Of The Density Dependent Nagumo Telegraph Equation

Keywords

Analytical solution; Nagumo telegraph equation; Numerical solution; RungeKuttaFehlberg 45 method

Abstract

In this paper, we obtained analytical and numerical solutions to a class of density dependent diffusion equations with memorydelay effect. This is a generalization of the density dependent diffusion Nagumo equation we studied recently [R.A. Van Gorder, 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 RungeKuttaFehlberg 45 method. The dependence of the traveling wave solutions on various parameters, particularly the memorydelay term, is discussed. © 2009 Elsevier Ltd. All rights reserved.

Publication Date

10-1-2010

Publication Title

Nonlinear Analysis: Real World Applications

Volume

11

Issue

5

Number of Pages

3923-3929

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.nonrwa.2010.02.019

Socpus ID

77955499980 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/77955499980

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