Abstract
A one-dimensional model of fox-rabies of two nonlinear partial differential equations of hyperbolic type is studied. Finite difference techniques are applied to compute the numerical solutions of the initial/boundary value problem. The convergence of the resulting schemes, which have a second order accuracy in space and time, is investigated. The method is tested for different values of advection rate; numerical and graphical results showed that the method is consistent with the dynamic behaviour of fox-rabies.
Acknowledgements
This work has been supported by College of Science Research Center, project No. (Math/2008/52), King Saud University.
Notes
Note that the expressions S t and S xx , etc., will be used to represent and etc.