DocumentCode :
167717
Title :
The finite element approximations for space fractional diffusion equation
Author :
Junying Cao ; Ziqiang Wang
Author_Institution :
Coll. of Sci., Guizhou Minzu Univ., Guiyang, China
fYear :
2014
fDate :
8-9 May 2014
Firstpage :
805
Lastpage :
808
Abstract :
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 α, with 1<;α≤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.
Keywords :
approximation theory; convergence of numerical methods; finite difference methods; finite element analysis; partial differential equations; convergence; finite difference method; finite element approximations; forward Euler scheme; fractional derivative; numerical solution; second-order space derivative; space fractional diffusion equation; standard diffusion equation; weak formulation; Equations; Fractals; Convergence; Finite element method; Fractional diffusion equation;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Electronics, Computer and Applications, 2014 IEEE Workshop on
Conference_Location :
Ottawa, ON
Type :
conf
DOI :
10.1109/IWECA.2014.6845744
Filename :
6845744
Link To Document :
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