Finite di erence approximations for fractional advection–dispersion ow equations
نویسندگان
چکیده
Fractional advection–dispersion equations are used in groundwater hydrology to model the transport of passive tracers carried by uid ow in a porous medium. In this paper we develop practical numerical methods to solve one dimensional fractional advection–dispersion equations with variable coe1cients on a 2nite domain. The practical application of these results is illustrated by modeling a radial ow problem. Use of the fractional derivative allows the model equations to capture the early arrival of tracer observed at a 2eld site. c © 2004 Elsevier B.V. All rights reserved.
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