
	Journal of Applied Sciences
	Year: 2008 \| Volume: 8 \| Issue: 7 \| Page No.: 1256-1261 DOI: 10.3923/jas.2008.1256.1261

Application of Homotopy Perturbation Method to Solve Linear and Non-Linear Systems of Ordinary Differential Equations and Differential Equation of Order Three

D.D. Ganji , H. Mirgolbabaei , Me. Miansari and Mo. Miansari

Abstract: In this study, Homotopy Perturbation Method (HPM) is implemented to solve system of differential equations. The HPM deforms a difficult problem into a simple problem which can be easily solved. The results are compared with the results obtained by exact solutions and Adomian`s decomposition method. The results reveal that the HPM is very effective, convenient and quite accurate to systems of nonlinear equations. Some examples are presented to show the ability of the method for linear and non-linear systems of differential equations.

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RELATED ARTICLES:

•	Perturbation Method as a Powerful Tool to Solve Highly Nonlinear Problems: The Case of Gelfand’s Equation

•	A Comparison Between Adomian’s Decomposition Method and the Homotopy Perturbation Method for Solving Nonlinear Differential Equations

•	An Approximate Solution of Blasius Equation by using HPM Method

How to cite this article:

D.D. Ganji , H. Mirgolbabaei , Me. Miansari and Mo. Miansari , 2008. Application of Homotopy Perturbation Method to Solve Linear and Non-Linear Systems of Ordinary Differential Equations and Differential Equation of Order Three. Journal of Applied Sciences, 8: 1256-1261.

DOI: 10.3923/jas.2008.1256.1261

URL: https://scialert.net/abstract/?doi=jas.2008.1256.1261

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