Analytical modelling of fractional advection-dispersion equation defined in a bounded space domain. (English) Zbl 1219.76035

Golbabai, A.; Sayevand, K.

Math. Comput. Modelling 53, No. 9-10, 1708-1718 (2011).

Summary: 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.

MSC:

76M25	Other numerical methods (fluid mechanics) (MSC2010)
65M99	Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35R11	Fractional partial differential equations
45K05	Integro-partial differential equations
76S05	Flows in porous media; filtration; seepage

Keywords:

fractional advection-dispersion equation; homotopy perturbation method; jumarie’s derivative

Software:

BVPh

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