  In this work we use tempered fractional advection-diffusion equations to
model the dispersive transport in disordered materials. A numerical method is
derived to approximate the solution of such differential models and we prove
that it is convergent and stable. Two numerical examples are presented. The
first one, with known analytical solution, is given to illustrate the
performance of the numerical scheme; the second one is used to show that such
models are appropriate to model time of flight transient currents for some
disordered materials.
