## Abstract An improved positivityβpreserving 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 relax
A positivity-preserving nonstandard finite difference scheme for the damped wave equation
β Scribed by Ronald E. Mickens; P. M. Jordan
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 117 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0749-159X
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π SIMILAR VOLUMES
We construct a finite difference scheme for the ordinary differential equation describing the traveling wave solutions to the Burgers equation. This difference equation has the property that its solution can be calculated. Our procedure for determining this solution follows closely the analysis used
## Abstract This article is devoted to an analysis of simple families of finite difference schemes for the wave equation. These families are dependent on several free parameters, and methods for obtaining stability bounds as a function of these parameters are discussed in detail. Access to explicit