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Quasi-Compact Finite Difference Schemes for Space Fractional Diffusion Equations

✍ 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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πŸ“œ SIMILAR VOLUMES


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✍ Mingrong Cui πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 606 KB

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

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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