E. Hesameddini and H. Latifizadeh, “An Optimal Choice of Initial Solutions in the Homotopy Perturbation Method,” International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 10, 2009, pp. 1389-1398. doi:10.1515/IJNSNS.2009.10.11-12.1389

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.