A New Numerical Method for the Riesz Space Fractional Diffusion Equation

Abstract:

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Firstly, using matrix transform method, we transform the Riesz space fractional diffusion equation into an ordinary differential equation, and get its analytic solution. Secondly, we use (2,1) Pade approxiation to the exponentinal matrix of the analytic solution and obtain a new difference scheme for solving Riesz space fractional diffusion equation. Finally, we prove that the difference scheme is unconditionally stable.

Info:

Periodical:

Edited by:

Zhang Yushu

Pages:

393-396

DOI:

10.4028/www.scientific.net/AMR.213.393

Citation:

H. F. Ding et al., "A New Numerical Method for the Riesz Space Fractional Diffusion Equation", Advanced Materials Research, Vol. 213, pp. 393-396, 2011

Online since:

February 2011

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Price:

$35.00

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