An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements
β Scribed by Mustapha, K.
- Book ID
- 121863357
- Publisher
- Oxford University Press
- Year
- 2010
- Tongue
- English
- Weight
- 198 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0272-4979
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Numerical methods for advection-diffusion equations are discussed based on approximating advection using a high-resolution upwind finite difference method, and incorporating diffusion using a mixed finite element method. In this approach, advection is approximated explicitly and diffusion implicitly
The aim of thla paper is to present some monotone iterative schemes for computing the solution of a system of nonlinear difference equations which arme from a clam of nonlinear reactiondiffusion equations with time delays. The iterative schemes lead to computational algorithms as well as existence,