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Author Country (or Countries)

Portugal

Abstract

In the present paper, we use tempered fractional advection-diffusion equations to model the dispersive transport in disordered materials. A numerical method, on a time graded mesh, is derived to approximate the solution of such differential models. We also prove that it is convergent and stable. Two numerical examples are presented: The first, with known analytical solution, is presented to illustrate the performance of the numerical scheme; the second is used to show that such models are appropriate to model time of flight transient currents for some disordered materials.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/060105

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