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http://dx.doi.org/10.12941/jksiam.2010.14.1.017

SOLUTION OF TENTH AND NINTH-ORDER BOUNDARY VALUE PROBLEMS BY HOMOTOPY PERTURBATION METHOD  

Mohyud-Din, Syed Tauseef (HITEC UNIVERSITY)
Yildirim, Ahmet (EGE UNIVERSITY, SCIENCE FACULTY, DEPT. OF MATHEMATICS)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.14, no.1, 2010 , pp. 17-27 More about this Journal
Abstract
In this paper, we apply homotopy perturbation method (HPM) for solving ninth and tenth-order boundary value problems. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The proposed iterative scheme finds the solution without any discretization, linearization or restrictive assumptions. Several examples are given to verify the reliability and efficiency of the method. The fact that the proposed homotopy perturbation method solves nonlinear problems without using Adomian's polynomials can be considered as a clear advantage of this technique over the decomposition method.
Keywords
Homotopy perturbation method; higher-order boundary value problems; error estimates; nonlinear problems;
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