Quasi-Compact Finite Difference Schemes for Space Fractional Diffusion Equations
β Scribed by Han Zhou, WenYi Tian, Weihua Deng
- Book ID
- 120721974
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 723 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0885-7474
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π SIMILAR VOLUMES
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
We construct finite difference schemes for a particular class of one-space dimension, nonlinear reactiondiffusion PDEs. The use of nonstandard finite difference methods and the imposition of a positivity condition constrain the schemes to be explicit and allow the determination of functional relatio