Existence of monotone traveling fronts for BDF discretizations of bistable reaction-diffussion equations

Authors

Christopher E. Elmer, New Jersey Institute of Technology
Erik S. Van Vleck, Colorado School of Mines

Document Type

Conference Proceeding

Publication Date

2-1-2003

Abstract

This article is concerned with the effect of temporal discretization on traveling wave solutions to parabolic PDEs possessing bistable nonlinearities. The focus is on the application of backward differentiation formulas to Nagumo type PDEs with two different bistable nonlinearities. Existence of monotone traveling fronts is shown and the efficacy of different methods of proof is discussed.

Identifier

4644360264 (Scopus)

Publication Title

Dynamics of Continuous Discrete and Impulsive Systems Series A Mathematical Analysis

ISSN

12013390

First Page

389

Last Page

402

Issue

1-3

Volume

10

Recommended Citation

Elmer, Christopher E. and Van Vleck, Erik S., "Existence of monotone traveling fronts for BDF discretizations of bistable reaction-diffussion equations" (2003). Faculty Publications. 14182.
https://digitalcommons.njit.edu/fac_pubs/14182