Rotated Outer-Inner Iterative Schemes for The Solution of Burgers’ Equation

In their paper, Ali and Abdullah introduced new iterative methods based on rotated(cross) five-point finite difference discretisation in solving a coupled system of elliptic partial differential equations (p.d.e.’s) where these methods were found to be more superior than common existing methods based on the centred five-point difference schemes. In this paper, the application of a new iterative schemes derived from the rotated finite difference discretisation to the numerical solution of the nonlinear steady two dimensional Burgers’ equation is considered. Some numerical experiments are presented and we will show that the new methods are accurate and comparable to the existing finite difference method.