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Modeling Transient Currents in Time-of-Flight Experiments with Tempered Time-Fractional Diffusion Equations |
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PP: 43-53 |
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doi:10.18576/pfda/060105
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Author(s) |
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Maria Lu ́ısa Morgado,
Lu ́ıs Filipe Morgado,
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Abstract |
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| 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. |
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