A variant of Newton's method for the computation of traveling waves of bistable differential-difference equations

Authors

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

Document Type

Article

Publication Date

1-1-2002

Abstract

We consider a variant of Newton's method for solving nonlinear differential-difference equations arising from the traveling wave equations of a large class of nonlinear evolution equations. Building on the Fredholm theory recently developed by Mallet-Paret we prove convergence of the method. The utility of the method is demonstrated with a series of examples. © 2002 Plenum Publishing Corporation.

Identifier

4444281421 (Scopus)

Publication Title

Journal of Dynamics and Differential Equations

External Full Text Location

https://doi.org/10.1023/A:1016386414393

e-ISSN

15729222

ISSN

10407294

First Page

493

Last Page

517

Issue

3

Volume

14

Grant

DMS-9505049

Fund Ref

National Science Foundation

Recommended Citation

Elmer, Christopher E. and Van Vleck, Erik S., "A variant of Newton's method for the computation of traveling waves of bistable differential-difference equations" (2002). Faculty Publications. 14804.
https://digitalcommons.njit.edu/fac_pubs/14804