The finite element method for nonlinear huxely equation

Abstract EN

In this paper, we present a finite element method (F.E.M.) for solving the non-linear huxely equation by using Crank-Nicolson scheme with the predictor-corrector method.

The numerical results and absolute errors showed that the Crank-Nicolson finite element method is more accurate and better than respectively from the numerical results and the absolute errors which that presented by Explicit and Crank-Nicolson finite difference method (F.D.M.) [7].