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2012 Homotopy Perturbation Method with an Auxiliary Term
Ji-Huan He
Abstr. Appl. Anal. 2012(SI12): 1-7 (2012). DOI: 10.1155/2012/857612


The two most important steps in application of the homotopy perturbation method are to construct a suitable homotopy equation and to choose a suitable initial guess. The homotopy equation should be such constructed that when the homotopy parameter is zero, it can approximately describe the solution property, and the initial solution can be chosen with an unknown parameter, which is determined after one or two iterations. This paper suggests an alternative approach to construction of the homotopy equation with an auxiliary term; Dufing equation is used as an example to illustrate the solution procedure.


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Ji-Huan He. "Homotopy Perturbation Method with an Auxiliary Term." Abstr. Appl. Anal. 2012 (SI12) 1 - 7, 2012.


Published: 2012
First available in Project Euclid: 1 April 2013

zbMATH: 1235.65096
MathSciNet: MR2879936
Digital Object Identifier: 10.1155/2012/857612

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI12 • 2012
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