Detailed analysis of a conservative difference approximation for the time fractional diffusion equation
β Scribed by S. Shen; F. Liu; V. Anh; I. Turner
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 323 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1598-5865
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π SIMILAR VOLUMES
Time fractional diffusion equations are used when attempting to describe transport processes with long memory where the rate of diffusion is inconsistent with the classical Brownian motion model. In this paper we develop an implicit unconditionally stable numerical method to solve the one-dimensiona
## Abstract We consider the numerical solution of a model oneβdimensional diffusionβconvection equation by a variety of explicit finite difference methods including conventional central and upwind replacements of the convection terms. We discuss commonly observed phenomena such as instability, unwa