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J. Biazar, M. Gholamiporshokuhi and B. Ghanbari, “Extracting a General Iterative Method from an Adomian Decomposition Method and Comparing It to the Variational Iteration Method,” Computers and Mathematics with Applications, Vol. 59, No. 2, 2010, pp. 622-628. doi:10.1016/j.camwa.2009.11.001

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.