A numerical solution of the Burgers’ equation using a Crank-Nicolson exponential finite difference method

Abstract

This paper presents a new technique of forming improved exponential finite difference solution of Burgers’ equation. The technique is called Crank-Nicolson exponential finite difference method for the solution of Burgers’ equation. Since the equation is nonlinear the scheme leads to a system of nonlinear equations. At each time-step Newton’s method is used to solve this nonlinear system. The results are compared with exact values clearly show that results obtained using the method is precise and reliable.