Analytical modelling of fractional advection-dispersion equation defined in a bounded space domain

Authors:
A. Golbabai;K. Sayevand
Affiliations:
-;-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2011

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Abstract

The fractional advection-dispersion equation (FADE) known as its non-local dispersion, is used in groundwater hydrology and has been proven to be a reliable tool to model the transport of passive tracers carried by fluid flow in a porous media. In this paper, compact structures of FADE are investigated by means of the homotopy perturbation method with consideration of a promising scheme to calculate nonlinear terms. The problems are formulated in the Jumarie sense. Analytical and numerical results are presented.