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A new positivity-preserving nonstandard finite difference scheme for the DWE

✍ Scribed by Ronald E. Mickens; P. M. Jordan

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
116 KB
Volume
21
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

An improved positivity‐preserving nonstandard finite difference scheme for the linear damped wave equation is presented. Unlike an earlier such scheme developed by the authors, the new scheme involves three time levels and is therefore able to include the effects of the equation's relaxation coefficient. Β© 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential, 2005

πŸ“œ SIMILAR VOLUMES

Relation between the time and space step
Relation between the time and space step-sizes in nonstandard finite-difference schemes for the Fisher equation
✍ Ronald E. Mickens πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 57 KB πŸ‘ 2 views

A positivity condition is used to obtain functional relations between the time and space step-sizes for nonstandard finite-difference models of the Fisher partial differential equation. An upper bound is also derived for the solutions to the difference equations.