Title

A Variational Formulation Of The Nagumo Reaction-Diffusion Equation And The Nagumo Telegraph Equation

Keywords

Nagumo reactiondiffusion equation; Nagumo telegraph equation; Numerical solution

Abstract

We consider the Nagumo reactiondiffusion equation ut=uxx+f(u) and the Nagumo telegraph equation τutt+(1-τf′(u))ut=uxx+f(u), where f(u)=u(a-u)(1-u) as boundary value problems over the finite spatial interval x∈[0,L] and finite time t∈[0,t*]. We are able to obtain approximate solutions for the boundary value problems via a variational technique. Also, we obtain numerical solutions for some special cases, in order to demonstrate the validity of the variational technique. Also, these numerical solutions are used to discuss the qualitative characteristics of the solutions for the specific initial data considered. © 2009 Elsevier Ltd. All rights reserved.

Publication Date

8-1-2010

Publication Title

Nonlinear Analysis: Real World Applications

Volume

11

Issue

4

Number of Pages

2957-2962

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.nonrwa.2009.10.016

Socpus ID

77955769869 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/77955769869

This document is currently not available here.

Share

COinS