On the numerical solution of space fractional order diffusion equation via shifted Chebyshev polynomials of the third kind

On the numerical solution of space fractional order diffusion equation via shifted Chebyshev polynomials of the third kind

In this paper, we propose a numerical scheme to solve space fractional order diffusion equation. Our scheme uses shifted Chebyshev polynomials of the third kind. The fractional differential derivatives are expressed in terms of the Caputo sense. Moreover, Chebyshev collocation method together with t...

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Bibliographic Details
Main Authors: N.H. Sweilam, A.M. Nagy, Adel A. El-Sayed
Format: Article
Language:English
Published: Elsevier 2016-01-01
Series:Journal of King Saud University: Science
Subjects:
Space fractional order diffusion equation
Caputo derivative
Chebyshev collocation method
Finite difference method
Chebyshev polynomials of the third kind
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364715000452

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http://www.sciencedirect.com/science/article/pii/S1018364715000452

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