Homotopy Analysis Method for Solving Non-linear Various Problem of Partial Differential Equations

Abstract

In this paper, solve several important equations such as korteweg-devries (kdv) problem, Boussinesq equation of non-homogeneous problem and non-homogeneous system  Hirota-Satsuma problem of partial differential equation by Homotopy analysis method (HAM). Studied comparison exact solution with numerical results , this method have shown that is very effective and convenient and gives numerical solutions in the form of convergent series with easily computable components for solving non-linear various problem of partial differential equation .

Keywords: Homotopy analysis method , Approximate solution , non-linear problems of partial differential equation , analytical solutions