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Finite difference methods for fractional dispersion equations

✍ Scribed by Lijuan Su; Wenqia Wang; Qiuyan Xu


Book ID
108051810
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
237 KB
Volume
216
Category
Article
ISSN
0096-3003

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πŸ“œ SIMILAR VOLUMES


Compact finite difference method for the
✍ 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

Implicit finite difference approximation
✍ Diego A. Murio πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 509 KB

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