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
ANALYSIS OF A FINITE-DIFFERENCE SCHEME FOR A LINEAR ADVECTION–DIFFUSION–REACTION EQUATION
✍ Scribed by R.E. MICKENS
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 70 KB
- Volume
- 236
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
An important class of physical phenomena in acoustics, #uid dynamics, and the transport of contaminants can be modelled by the partial di!erential equation [1}3]
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