Implicit difference approximation for the time fractional diffusion equation
β Scribed by P. Zhuang; F. Liu
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 298 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
High-order compact finite difference scheme for solving one-dimensional fractional diffusion equation is considered in this paper. After approximating the second-order derivative with respect to space by the compact finite difference, we use the GrΓΌnwald-Letnikov discretization of the Riemann-Liouvi
In this paper, the numerical solution of fractional (non-integer)-order Cattaneo equation for describing anomalous diffusion has been investigated. Two finite difference schemes namely an explicit predictor-corrector and totally implicit schemes have been developed. In developing each scheme, a sepa