"Modeling Transient Currents in Time-of-Flight Experiments with Tempere" by Maria Lu ́ısa Morgado and Lu ́ıs Filipe Morgado

Progress in Fractional Differentiation & Applications

Article Title

Modeling Transient Currents in Time-of-Flight Experiments with Tempered Time-Fractional Diffusion Equations

Authors

Maria Lu ́ısa Morgado, Center for Computational and Sthocastic Mathematics, Instituto Superior Te ́cnico, Lisboa, Portugal and Department of Mathematics, University of Tra ́s-os-Montes e Alto Douro, UTAD, Quinta de Prados 5001-801, Vila Real, Portugal Follow
Lu ́ıs Filipe Morgado

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

Recommended Citation

Lu ́ısa Morgado, Maria and ́ıs Filipe Morgado, Lu (2020) "Modeling Transient Currents in Time-of-Flight Experiments with Tempered Time-Fractional Diffusion Equations," Progress in Fractional Differentiation & Applications: Vol. 6: Iss. 1, Article 5.
DOI: http://dx.doi.org/10.18576/pfda/060105
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol6/iss1/5

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