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Numerical Solution of 12th Order Boundary Value Problems by Using Homotopy Perturbation Method
Journal article   Open access

Numerical Solution of 12th Order Boundary Value Problems by Using Homotopy Perturbation Method

Mohamed I. A. Othman, A. M. S. Mahdy and R. M. Farouk
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, Vol.1(1), pp.14-27
15/03/2010
DOI: https://doi.org/10.22436/jmcs.001.01.03

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, a homotopy-perturbation method (HPM) [1-6, 26-28] is used to solve both linear and nonlinear Nth boundary value problems with two point boundary conditions for ninth-order, tenth-order and twelfth-order. By applying (HPM) on three examples the numerical results are compared with the exact solution, to show effectiveness and accuracy of the method.
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https://doi.org/10.22436/jmcs.001.01.03View
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