A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations | Zendy

Lijuan Su | Zendy; Pei Cheng | Zendy

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A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations

Author(s) -

Lijuan Su,

Pei Cheng

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/648595

Subject(s) - mathematics , consistency (knowledge bases) , stability (learning theory) , convergence (economics) , advection , fractional calculus , diffusion , finite difference method , diffusion equation , finite difference , order (exchange) , mathematical analysis , computer science , physics , geometry , thermodynamics , economy , service (business) , finance , machine learning , economics , economic growth

Fractional-order diffusion equations are viewed as generalizations of classical diffusion equations, treating super-diffusive flow processes. In this paper, in order to solve the fractional advection-diffusion equation, the fractional characteristic finite difference method is presented, which is based on the method of characteristics (MOC) and fractional finite difference (FD) procedures. The stability, consistency, convergence, and error estimate of the method are obtained. An example is also given to illustrate the applicability of theoretical results

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