COMPUTATION OF TRAVELING WAVES FOR SPATIALLY DISCRETE BISTABLE REACTION-DIFFUSION EQUATIONS

Authors
ELMER CE VANVLECK ES
Citation
Ce. Elmer et Es. Vanvleck, COMPUTATION OF TRAVELING WAVES FOR SPATIALLY DISCRETE BISTABLE REACTION-DIFFUSION EQUATIONS, Applied numerical mathematics, 20(1-2), 1996, pp. 157-169
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied numerical mathematics → ACNP
ISSN journal
01689274
Volume
20
Issue
1-2
Year of publication
1996
Pages
157 - 169
Database
ISI
SICI code
0168-9274(1996)20:1-2<157:COTWFS>2.0.ZU;2-U
Abstract
Traveling wave solutions for reaction-diffusion equations on a discret e spatial domain are considered. Traveling wave equations are derived for the spatial domain, Z(n) for n = 1,2,3. Using an idealized nonline ar term, the anisotropy introduced by the lattice is analyzed. Numeric al techniques for solving the traveling wave equations are introduced. Finally, some numerical experiments are presented.