Y. Khan and Q. B. Wu, “Homotopy Perturbation Transform Method for Nonlinear Equations Using He’s Polynomials,” Computers and Mathematics with Applications, Vol. 61, No. 8, 2011, pp. 1963-1967. doi:10.1016/j.camwa.2010.08.022

has been cited by the following article:

• TITLE: A Comparative Study of Variational Iteration Method and He-Laplace Method

  AUTHORS: Hradyesh Kumar Mishra

  KEYWORDS: Variational Iteration Method; He-Laplace Transform Method; Homotopy Perturbation Method; Ordinary Differential Equation; Partial Differential Equations; He’s Polynomials

  JOURNAL NAME: Applied Mathematics, Vol.3 No.10, October 12, 2012

  ABSTRACT: In this paper, variational iteration method and He-Laplace method are used to solve the nonlinear ordinary and partial differential equations. Laplace transformation with the homotopy perturbation method is called He-Laplace method. A comparison is made among variational iteration method and He-Laplace. It is shown that, in He-Laplace method, the nonlinear terms of differential equation can be easily handled by the use of He’s polynomials and provides better results.