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


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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ISRP Style

Hadi Azizi, Ghasem Barid Loghmani, A Numerical Method for Space Fractional Diffusion Equations Using a Semi-disrete Scheme and Chebyshev Collocation Method, Journal of Mathematics and Computer Science, 8 (2014), no. 3, 226-235

AMA Style

Azizi Hadi, Loghmani Ghasem Barid, A Numerical Method for Space Fractional Diffusion Equations Using a Semi-disrete Scheme and Chebyshev Collocation Method. J Math Comput SCI-JM. (2014); 8(3):226-235

Chicago/Turabian Style

Azizi, Hadi, Loghmani, Ghasem Barid. "A Numerical Method for Space Fractional Diffusion Equations Using a Semi-disrete Scheme and Chebyshev Collocation Method." Journal of Mathematics and Computer Science, 8, no. 3 (2014): 226-235


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