期刊
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
卷 24, 期 6, 页码 1416-1429出版社
JOHN WILEY & SONS INC
DOI: 10.1002/num.20324
关键词
advection-dispersion equation; caputo fractional derivative; decomposition Method; fractional derivatives; variational iteration method
Fractional advection-dispersion equations are used in groundwater hydrologhy to model the transport of passive tracers carried by fluid flow in a porous medium. In this paper we present two reliable algorithms. the Adomian decomposition method and variational iteration method, to construct numerical solutions of the space-time fractional advection-dispersion equation in the form of a rabidly convergent series with easily computable components. The fractional derivatives are described in the Caputo sense. Some examples are given. Numerical results show that the two approaches are easy to implement and accurate when applied to space-time fractional advection-dispersion equations. (C) 2008 Wiley Periodicals. Inc. Numer Methods Partial Differential Eq 24: 1416-1429, 2008
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