Numerical Solution of Generalized Burgers-Fisher Equation by Exponential Cubic B-Spline Collocation Method

摘要

In this paper, Generalized Burgers-Fisher Equation (GBFE) is fully-integrated by using exponential cubic B-Spline collocation method in space and Crank Nicolson method in time. The numerical results are given to illustrate the efficiency of the proposed method and compared with both the exact solutions and some earlier results. It is shown that accuracy is increased with an appropriate selection of the free parameters of the exponential Cubic B-splines.