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The Scientific World Journal - Volume 2014 2014, Article ID 982413, 9 pages -

Research Article

Department of Fundamental Courses, Shanghai Customs College, Shanghai 201204, China

School of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, China

Received 18 January 2014; Accepted 17 February 2014; Published 3 April 2014

Academic Editors: C. Li, A. Sikorskii, and S. B. Yuste

Copyright © 2014 Zhengang Zhao and Yunying Zheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We analyze a fully discrete leapfrog-Galerkin finiteelement method for the numerical solution of the space fractional order fractional for simplicity diffusion equation. The generalized fractional derivative spaces aredefined in a bounded interval. And some related properties are further discussed for thefollowing finite element analysis. Then the fractional diffusion equationis discretized in space by the finite element method and in time by the explicitleapfrog scheme. For the resulting fully discrete, conditionally stable scheme,we prove an -error bound of finite element accuracy and of second order intime. Numerical examples are included to confirm our theoretical analysis.





Autor: Zhengang Zhao and Yunying Zheng

Fuente: https://www.hindawi.com/



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