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D. D. Ganji and A. Sadighi, “Application of He’s Homotopy Perturbation Method to Nonlinear Coupled Systems of Reaction-Diffusion Equations,” International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 7, 2006, pp. 411-418. doi:10.1515/IJNSNS.2006.7.4.411

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.