Computation of traveling waves for spatially discrete bistable reaction-diffusion equations

被引：10

作者：

Elmer, CE ^{[1
]}

VanVleck, ES ^{[1
]}

机构：

[1] COLORADO SCH MINES, DEPT MATH & COMP SCI, GOLDEN, CO 80401 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 1996年 / 20卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

traveling waves; lattice anisotropy; propagation failure;

D O I：

10.1016/0168-9274(95)00123-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Traveling wave solutions for reaction-diffusion equations on a discrete spatial domain are considered. Traveling wave equations are derived for the spatial domain, Z(n) for n = 1,2,3. Using an idealized nonlinear term, the anisotropy introduced by the lattice is analyzed. Numerical techniques for solving the traveling wave equations are introduced. Finally, some numerical experiments are presented.

引用

页码：157 / 169

页数：13

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