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

被引：0
作者：
L. F. Morgado
M. L. Morgado
机构：
[1] Instituto Superior Técnico,Instituto de Telecomunicações
[2] University of Trás-os-Montes e Alto Douro,Department of Physics
[3] UTAD,CM
[4] University of Trás-os-Montes e Alto Douro,UTAD, Department of Mathematics
[5] UTAD,undefined
来源：
Journal of Mathematical Chemistry | 2015年 / 53卷
关键词：
Fractional differential equations; Caputo derivative ; Advection-diffusion equation; Time of flight; Organic semiconductors; 35R11; 65M06; 65M12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
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页码：958 / 973
页数：15
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