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Number of results

Journal

2013 | 11 | 10 | 1494-1503

Article title

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

Content

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Languages of publication

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
author
  • Department of Basic Science, Institute of Information Technology, Modern Academy, Cairo, 11931, Egypt

References

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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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