A Comparison between Adomian's Polynomials and He's Polynomials for Nonlinear Functional Equations

摘要

We will compare the standard Adomian decomposition method and the homotopy perturbation method applied to obtain the solution of nonlinear functional equations. We prove analytically that the two methods are equivalent for solving nonlinear functional equations. In Ghorbani (2009), Ghorbani presented a new definition which he called as He's polynomials. In this paper, we also show that He's Dolvnomials are onlv the Adomian polynomials.