The Finite Element Approximations for Space Fractional Diffusion Equation

被引：0
|
作者：
Cao, Junying [1 ]
Wang, Ziqiang [1 ]
机构：
[1] Guizhou Minzu Univ, Coll Sci, Guiyang, Peoples R China
来源：
2014 IEEE WORKSHOP ON ELECTRONICS, COMPUTER AND APPLICATIONS | 2014年
关键词：
Fractional diffusion equation; Finite element method; Convergence; ADVECTION-DISPERSION EQUATION; CONTINUOUS-TIME FINANCE; FOKKER-PLANCK EQUATION; HIGH-ORDER SCHEMA; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; ANOMALOUS TRANSPORT; RANDOM-WALKS; LEVY MOTION; CALCULUS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we consider the numerical solution of the space fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the second-order space derivative with a fractional derivative (of order alpha, with 1 < alpha <= 2). The main purpose of this work is to construct scheme to efficiently solve the space fractional diffusion equation. We get a forward Euler scheme with finite difference method. We attain a weak formulation of finite element method from the above scheme. Convergence of the method is rigorously established. Numerical experiments are carried out to support the theoretical predictions.
引用
收藏
页码：805 / 808
页数：4
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