A nonstandard finite difference scheme for a Fisher PDE having nonlinear diffusion
β Scribed by R.E. Mickens
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 400 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
We extend previous work on nonstandard finite difference schemes for one-space dimension, nonlinear reaction-diffusion PDEs to the case where linear advection is included. The use of a positivity condition allows the determination of a functional relation between the time and space step-sizes, and p
## 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