An ADI Scheme for Two-sided Fractional Reaction-Diffusion Equations and
Applications to an Epidemic Model
Reaction-diffusion equations are often used in epidemiological models.
In this paper, we generalize the algorithm of Meerschaert and Tadjeran
for fractional advection-dispersion flow equations to a coupled system
of fractional reaction-diffusion like an equation that arises from
vector bourne disease modeling.