A New Numerical Method for the Riesz Space Fractional Diffusion Equation

Heng Fei Ding; Yu Xin Zhang; Wan Sheng He; Xiao Ya Yang

doi:10.4028/www.scientific.net/AMR.213.393

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 213A New Numerical Method for the Riesz Space...

A New Numerical Method for the Riesz Space Fractional Diffusion Equation

Abstract:

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.

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Advanced Materials Research (Volume 213)

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393-396

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https://doi.org/10.4028/www.scientific.net/AMR.213.393

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Online since:

February 2011

Authors:

Heng Fei Ding, Yu Xin Zhang, Wan Sheng He, Xiao Ya Yang

Keywords:

Fractional Diffusion Equation, Matrix Transform Method, Pade Approximation, Riesz Space

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