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Nonstandard finite difference schemes for reaction-diffusion equations

✍ Scribed by Ronald E. Mickens

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 270 KB
Volume: 15
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199903)15:2<201::aid-num5>3.0.co;2-h

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✦ Synopsis

We construct finite difference schemes for a particular class of one-space dimension, nonlinear reactiondiffusion PDEs. The use of nonstandard finite difference methods and the imposition of a positivity condition constrain the schemes to be explicit and allow the determination of functional relations between the space and time step-sizes. The general procedure is illustrated by applying it to several important model systems of PDEs c 1999

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