Solving advection equation by using the natural decomposition method

Abstract

In this paper, we will study the natural decomposition method (NDM) to obtain exact solution of nonlinear homogeneous and nonhomogeneous advection equation. The Adomian decomposition method is the basis of natural decomposition method. The theoretical analysis of the natural decomposition method is investigated for some equation and calculated with easily computable terms. The results are compared with other method. The evident has illustrated that this method is easy and efficient.