A Numerical Method for Space Fractional Diffusion Equations Using a Semi-disrete Scheme and Chebyshev Collocation Method

Volume 8, Issue 3, pp 226-235 http://dx.doi.org/10.22436/jmcs.08.03.05

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Authors

Hadi Azizi - Department of Mathematics, Taft Branch, Islamic Azad University, Taft, Iran. Ghasem Barid Loghmani - Department of Mathematics, Yazd University, Yazd, Iran.

Abstract

In the present paper, a numerical approach to efficiently calculate the solution of space fractional diffusion equations is investigated. The finite difference scheme and Chebyshev collocation method is applied to solve this problems. Also, the matrix form of the proposed method is obtained. The numerical examples and comparison with other methods shows that the present method is effective.

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Keywords

• Fractional diffusion equation
• Finite difference
• Collocation
• Chebyshev polynomials

MSC

•  65M06
•  65M12
•  35K05
•  35R11
•  65M15

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