A New Numerical Scheme for the Space Fractional Diffusion Equation

Jun Ying Cao; Zi Qiang Wang

doi:10.4028/www.scientific.net/AMM.599-601.1305

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 599-601A New Numerical Scheme for the Space Fractional...

A New Numerical Scheme for the Space Fractional Diffusion Equation

Abstract:

We construct the numerical method of the space fractional diffusion equation in this paper. We propose an efficient method for its numerical solution. This method is based on a finite difference in time and finite element method in space. Convergence of the method is rigorously established. A series of numerical examples are provided to support the theoretical claims.

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Periodical:

Applied Mechanics and Materials (Volumes 599-601)

Pages:

1305-1308

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.599-601.1305

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Online since:

August 2014

Authors:

Jun Ying Cao*, Zi Qiang Wang

Keywords:

Convergence Analysis, Finite Element Method (FEM), Space Fractional Diffusion Equation

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