International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

Homotopy perturbation method for solving a system of third-order boundary value problems

Muhammad Aslam Noor1,2*, Khalida Inayat Noor1, Muhammad Rafiq1, Eisa Al- Said2and John Coletsos3
1Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan. 2Mathematics Department, College of Science, King Saud University, Riyadh, Saudi Arabia 3Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece.
Email: [email protected]

  •  Accepted: 21 April 2011
  •  Published: 18 August 2011

Abstract

In this paper, we use the homotopy perturbation method for solving a system of third-order boundary value problem. We show that numerical results obtained by this method are highly accurate. Some examples are given to illustrate the efficiency and implementation of the homotopy perturbation method.

 

Key words: Variation iteration method, homotopy perturbation method, obstacle problem, third-order boundary value problem.

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This article is published under the terms of the Creative Commons Attribution License 4.0

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