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

Volume 1, Issue 1, pp 14--27 http://dx.doi.org/10.22436/jmcs.001.01.03

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Authors

Mohamed I. A. Othman - Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt A. M. S. Mahdy - Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt R. M. Farouk - Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt

Abstract

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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Keywords

• HPM
• linear and non-linear problems
• boundary value problem
• Approximate solution

MSC

•  34D10
•  34K27
•  65L10
•  34B05
•  34B15
•  35G30

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