Sains Malaysiana 38(5)(2009): 717–721

Direct Solution of Second-order BVPs by Homotopy-perturbation Method

(Penyelesaian Secara Langsung MNS Berperingkat-Dua Melalui Kaedah Homotopi-usikan)

O. Abdulaziz¹, M.S.H. Chowdhury², I. Hashim¹* & S. Momani³

¹Centre for Modelling & Data Analysis

School of Mathematical Sciences, Universiti Kebangsaan Malaysia

43600 UKM Bangi Selangor D.E., Malaysia

²Faculty of Engineering

International Islamic University Malaysia

Jalan Gombak, 53100 Kuala Lumpur, Malaysia

³Department of Mathematics

Mutah University, P.O. Box 7, Al-Karak, Jordan

Received: 20 June 2008 / Accepted: 20 November 2008

ABSTRACT

In this paper, systems of second-order boundary value problems (BVPs) are considered. The applicability of the homotopy-perturbation method (HPM) was extended to obtain exact solutions of the BVPs directly.

Keywords: Boundary value problems; homotopy-perturbation method

ABSTRAK

Dalam makalah ini, sistem masalah nilai sempadan (MNS) berperingkat dua dipertimbangkan. Kegunaan kaedah homotopi-usikan (KHU) diperluaskan bagi memperoleh penyelesaian tepat MNS tersebut secara langsung.

Kata kunci: Kaedah homotopi-usikan; masalah nilai sempadan

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*Corresponding author; email: ishak_h@ukm.my