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Numerical modelling transient current in the time-of-flight experiment with time-fractional advection-diffusion equations

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Abstract

In this work we report the development of an implicit finite difference numerical method for the one space dimension time-fractional advection-diffusion equation, on a bounded domain, to model the transient electrical current of the time of flight experiment of disordered (e.g. organic) semiconductors. Some numerical experiments and simulation of experimental data are carried out showing that the presented model describes accurately the transient electrical current.

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Authors and Affiliations

  1. Instituto de Telecomunicações, Instituto Superior Técnico, Lisboa, Portugal

    L. F. Morgado

  2. Department of Physics, University of Trás-os-Montes e Alto Douro, UTAD, Quinta de Prados, Vila Real, 5001-801, Portugal

    L. F. Morgado

  3. CM-UTAD, Department of Mathematics, University of Trás-os-Montes e Alto Douro, UTAD, Quinta de Prados, Vila Real, 5001-801, Portugal

    M. L. Morgado

Authors
  1. L. F. Morgado
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  2. M. L. Morgado
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Correspondence to L. F. Morgado.

Additional information

L. F. Morgado acknowledges financial support from Portuguese Foundation for Science and Technology (FCT), under the contracts M-ERA.NET/0001/2012 and PEst-OE/EEI/LA0008/2013.

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Morgado, L.F., Morgado, M.L. Numerical modelling transient current in the time-of-flight experiment with time-fractional advection-diffusion equations. J Math Chem 53, 958–973 (2015). https://doi.org/10.1007/s10910-014-0463-5

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  • DOI: https://doi.org/10.1007/s10910-014-0463-5

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