Dynamics of monotone travelling fronts for discretizations of Nagumo PDEs

Document Type

Article

Publication Date

7-1-2005

Abstract

When PDEs are discretized, the dynamics of the resulting equations differ from those of the original PDE. In this paper, we study the dynamics of travelling wave solutions to the discretized Nagumo PDE (A(α) stable in time and/or uniform in space) with smooth bistable nonlinearities. In general, time discretization significantly speeds up travelling wave fronts and spatial discretization slows (or even halts) such fronts. © 2005 IOP Publishing Ltd and London Mathematical Society.

Identifier

21244442291 (Scopus)

Publication Title

Nonlinearity

External Full Text Location

https://doi.org/10.1088/0951-7715/18/4/010

ISSN

09517715

First Page

1605

Last Page

1628

Issue

4

Volume

18

This document is currently not available here.

Share

COinS