Paper Title:
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.

  Info
Periodical
Edited by
Zhang Yushu
Pages
393-396
DOI
10.4028/www.scientific.net/AMR.213.393
Citation
H. F. Ding, Y. X. Zhang, W. S. He, X. Y. Yang, "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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