Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
469914 | Computers & Mathematics with Applications | 2008 | 8 Pages |
Abstract
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-dimensional linear time fractional diffusion equation, formulated with Caputo’s fractional derivative, on a finite slab. Several numerical examples of interest are also included.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Diego A. Murio,