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Implicit difference approximation for the two-dimensional space-time fractional diffusion equation

✍ Scribed by P. Zhuang; F. Liu


Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
211 KB
Volume
25
Category
Article
ISSN
1598-5865

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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