A note on the finite element method for the space-fractional advection diffusion equation

Authors:
Yunying Zheng;Changpin Li;Zhengang Zhao
Affiliations:
Department of Mathematics, Shanghai University, Shanghai, China and Department of Mathematics, Huainan Normal University, Huainan, China;Department of Mathematics, Shanghai University, Shanghai, China;Department of Mathematics, Shanghai University, Shanghai, China
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In this paper, a note on the finite element method for the space-fractional advection diffusion equation with non-homogeneous initial-boundary condition is given, where the fractional derivative is in the sense of Caputo. The error estimate is derived, and the numerical results presented support the theoretical results.