THE USE OF ITERATIVE METHODS FOR SOLVING NAVEIR-STOKES EQUATION

Abstract

In this paper, a Naveir-Stokes equation is solved by using the Adomian's decomposition method (ADM) , modifled Adomian's decom- position method (MADM), variational iteration method (VIM), modifled variational iteration method (MVIM), modifled homotopy perturbation method (MHPM) and homotopy analysis method (HAM). The approxi- mate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. The exis- tence and uniqueness of the solution and the convergence of the proposed methods are proved. A numerical example is studied to demonstrate the accuracy of the presented methods.