A NUMERICAL STUDY ON MEDG ITERATIVE METHOD FOR SOLVING NONLINEAR STEADY BURGERS' EQUATION

Abstract

Explicit Decoupled Group (EDG) iterative methods were found more superior than common existing methods based on the centered five-point difference schemes for solving two dimensional Burgers' Equation. In this article, the new formulation of the Modified Explicit Decoupled Group (MEDG) scheme from the rotated finite difference discretization to the numerical solution of the nonlinear steady two dimensional Burgers' Equation is presented. The numerical experiments carried out confirm the superiority of the proposed method over the latter in terms of number of iterations and execution time.