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

被引：50

作者：

Elmer C.E. ^{[1
]}

Van Vleck E.S. ^{[2
]}

机构：

[1] Department of Mathematical Sciences, New Jersey Institute of Technology, Newark

[2] Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden

来源：

Journal of Dynamics and Differential Equations | 2002年 / 14卷 / 3期

基金：

美国国家科学基金会;

关键词：

Mixed type functional differential equations; Newton's method; Traveling waves;

D O I：

10.1023/A:1016386414393

中图分类号：

学科分类号：

摘要：

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.

引用

页码：493 / 517

页数：24