Badradeen A. A. Adam^1,2

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¹ Department of Mathematics, Faculty of Education, University of Khartoum, Omdurman, Sudan.
² Department of Mathematics, Northwest Normal University, Lanzhou, China.
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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.

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

Cite this paper: Adam, B. (2014) A Comparative Study of Adomain Decompostion Method and He-Laplace Method. Applied Mathematics, 5, 3353-3364. doi: 10.4236/am.2014.521312.

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