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2013 | 11 | 10 | 1494-1503
Article title

Numerical approximations for fractional diffusion equations via a Chebyshev spectral-tau method

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EN
Abstracts
EN
In this paper, a class of fractional diffusion equations with variable coefficients is considered. An accurate and efficient spectral tau technique for solving the fractional diffusion equations numerically is proposed. This method is based upon Chebyshev tau approximation together with Chebyshev operational matrix of Caputo fractional differentiation. Such approach has the advantage of reducing the problem to the solution of a system of algebraic equations, which may then be solved by any standard numerical technique. We apply this general method to solve four specific examples. In each of the examples considered, the numerical results show that the proposed method is of high accuracy and is efficient for solving the time-dependent fractional diffusion equations.
Publisher

Journal
Year
Volume
11
Issue
10
Pages
1494-1503
Physical description
Dates
published
1 - 10 - 2013
online
19 - 12 - 2013
Contributors
author
  • Department of Mathematics, Faculty of Science, Cairo University, Giza, 12613, Egypt
  • Department of Basic Science, Institute of Information Technology, Modern Academy, Cairo, 11931, Egypt
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0264-7
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