THE NEW ITERATIVE METHOD FOR SOLVING LINEAR AND NONLINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

Abstract

In this paper, we used the New Iterative Method (NIM) developed by Daftardar-Gejji and Jafari for the solution of linear and nonlinear systems of partial differential equations. This method is very simple as it reduces the size of computation and readily converges to the exact solution. To demonstrate the efficiency of the method, some illustrative examples were provided. The results obtained confirmed that the method is an efficient method for a wide variety of systems of linear and nonlinear PDEs.