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Saberi-Nadjafi, J. and Ghorbani, A. (2009) He’s Homotopy Per-turbation Method: An Effective Tool for Solving Nonlinear Integral and Integro-Differential Equations. Computers and Mathematics with Applications, 58, 1345-1351.

has been cited by the following article:

• TITLE: A Comparative Study of Adomain Decompostion Method and He-Laplace Method

  AUTHORS: Badradeen A. A. Adam

  KEYWORDS: Adomain Decomposition Method, He-Laplace Transform Method, Homotopy Perturbation Method, Ordinary Differential Equation, Partial Differential Equations, He’s Polynomials

  JOURNAL NAME: Applied Mathematics, Vol.5 No.21, December 1, 2014

  ABSTRACT: In this paper, we present a comparative study between the He-Laplace and Adomain decomposition method. The study outlines the significant features of two methods. We use the two methods to solve the nonlinear Ordinary and Partial differential equations. Laplace transformation with the homotopy method is called He-Laplace method. A comparison is made among Adomain decomposition method and He-Laplace. It is shown that, in He-Laplace method, the nonlinear terms of differential equation can be easy handled by the use He’s polynomials and provides better results.