Mathematics and Statistics Vol. 1(4), pp. 181 - 184
DOI: 10.13189/ms.2013.010401
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Homotopy Perturbation Method for Brachistochrone Problem

Parivash Shams Derakhsh ^*, Parisa Shams Derakhsh
Department of Mathematics, Faculty of Science University of Guilan, P.O. Box41335-1914, P.C. 41938, Rasht, Iran

ABSTRACT

The most famous classical variational principle is the so-called Brachistochroneproblem. In this work, Homotopy perturbation method (HPM) is applied to the Brachistochrone problem that arises invariational problems. The results reveal the efficiency and the accuracy of the proposed method. Homotopy perturbation method yields solutions in convergent series forms with easy computation

KEYWORDS
Brachistochrone Problem, Homotopy Perturbation Method, Nonlinear Equations

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Parivash Shams Derakhsh , Parisa Shams Derakhsh , "Homotopy Perturbation Method for Brachistochrone Problem," Mathematics and Statistics, Vol. 1, No. 4, pp. 181 - 184, 2013. DOI: 10.13189/ms.2013.010401.

(b). APA Format:
Parivash Shams Derakhsh , Parisa Shams Derakhsh (2013). Homotopy Perturbation Method for Brachistochrone Problem. Mathematics and Statistics, 1(4), 181 - 184. DOI: 10.13189/ms.2013.010401.