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)
Lu ́ısa Morgado, Maria and ́ıs Filipe Morgado, Lu
"Modeling Transient Currents in Time-of-Flight Experiments with Tempered Time-Fractional Diffusion Equations,"
Progress in Fractional Differentiation & Applications: Vol. 6
, Article 5.
Available at: https://dc.naturalspublishing.com/pfda/vol6/iss1/5