Numerical Solutions of the Space-Time Fractional Advection-Dispersion Equation

被引：68

作者：

Momani, Shaher ^{[1
]}

Odibat, Zaid ^{[2
]}

机构：

[1] Mutah Univ, Dept Math, Mutah, Jordan

[2] Al Balqa Appl Univ, Prince Abdullah Bin Ghazi Fac Sci & IT, Salt, Jordan

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 24卷 / 06期

关键词：

advection-dispersion equation; caputo fractional derivative; decomposition Method; fractional derivatives; variational iteration method;

D O I：

10.1002/num.20324

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：1416 / 1429

页数：14

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