International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

Solving system of nonlinear boundary value problems by modified variational iteration method

Muhammad Aslam Noor1,2*, Khalida Inayat Noor1 and Eisa A. Al-Said2      
1Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan. 2Mathematics Department, College of Science, King Saud University, Riyadh, Saudi Arabia.  
Email: [email protected], [email protected]

  •  Accepted: 29 July 2011
  •  Published: 30 October 2011


In this paper, we use the modified variational iteration method (MVIM) for solving the system of nonlinear boundary value problems associated with obstacle problems. This modified variational method is an elegant coupling of variational iteration method and homotopy perturbation method. We give the examples of second-order, third-order and fourth-order system of nonlinear boundary value problems to illustrate the implementation and efficiency of the proposed MVIM. Results obtained in this paper may stimulate further research in this area.


Key words: Variational iteration method, homotopy perturbation method, system of nonlinear boundary value problems, correctional functional, Lagrange multiplier.