Finite Difference Approximation for Two-Dimensional Time Fractional Diffusion Equation | Zendy

Peixian Zhuang | Zendy; F. Liu | Zendy

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Finite Difference Approximation for Two-Dimensional Time Fractional Diffusion Equation

Author(s) -

Peixian Zhuang,

F. Liu

Publication year - 2007

Publication title -

journal of algorithms and computational technology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.234

H-Index - 13

eISSN - 1748-3026

pISSN - 1748-3018

DOI - 10.1260/174830107780122667

Subject(s) - mathematics , convergence (economics) , diffusion equation , stability (learning theory) , finite difference method , diffusion , finite difference , domain (mathematical analysis) , anomalous diffusion , mathematical analysis , physics , computer science , innovation diffusion , knowledge management , economy , machine learning , economic growth , economics , thermodynamics , service (business)

Fractional diffusion equations have recently been used to model problems in physics, hydrology, biology and other areas of application. In this paper, we consider a two-dimensional time fractional diffusion equation (2D-TFDE) on a finite domain. An implicit difference approximation for the 2D-TFDE is presented. Stability and convergence of the method are discussed using mathematical induction. Finally, a numerical example is given. The numerical result is in excellent agreement with our theoretical analysis

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