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

被引：145
|
作者：
Zheng, Yunying [1 ,2 ]
Li, Changpin [1 ]
Zhao, Zhengang [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai, Peoples R China
[2] Huainan Normal Univ, Dept Math, Huainan, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 05期
关键词：
Space-fractional partial differential equation; Caputo derivative; Finite element method; EVOLUTION;
D O I：
10.1016/j.camwa.2009.08.071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1718 / 1726
页数：9
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