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Finite difference/spectral approximations for the time-fractional diffusion equation

✍ Scribed by Yumin Lin; Chuanju Xu

Book ID
108164106
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
365 KB
Volume
225
Category
Article
ISSN
0021-9991

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πŸ“œ SIMILAR VOLUMES

Implicit finite difference approximation
Implicit finite difference approximation for time fractional diffusion equations
✍ 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

Compact finite difference method for the
Compact finite difference method for the fractional diffusion equation
✍ 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