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Czasopismo
2013 | 11 | 10 | 1494-1503
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
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.
Wydawca

Czasopismo
Rocznik
Tom
11
Numer
10
Strony
1494-1503
Opis fizyczny
Daty
wydano
2013-10-01
online
2013-12-19
Twórcy
autor
  • Department of Mathematics, Faculty of Science, Cairo University, Giza, 12613, Egypt
  • Department of Basic Science, Institute of Information Technology, Modern Academy, Cairo, 11931, Egypt
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0264-7
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