Is homotopy perturbation method the traditional Taylor series expansion

Authors : M. TURKYİLMAZOGLU

Pages : 651-657

View : 17 | Download : 5

Publication Date : 2015-06-01

Article Type : Research Paper

Abstract :The present paper deals with the homotopy perturbation method. The question of whether the homotopy perturbation method is simply the conventional Taylor series expansion is examined. It is proven that under particular choices of the auxiliary parameters the homotopy perturbation method is indeed the Taylor series expansion of the sought solution of nonlinear equations.
Keywords : Nonlinearity, Analytic solution, Homotopy perturbation method