A differential-difference technique for the hybrid computer solution of parabolic partial differential equations

A differential-difference technique for the hybrid computer solution of parabolic partial differential equations with nonlinear terms is described. A theoretical analysis of the computational stability, convergence and accuracy of the technique is presented, showing that the method has certain important advantages over classical finite difference methods. The practical application of the technique to a biomedical problem is described as an example, confirming the efficiency of this approach.