International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2539

Full Length Research Paper

On computational methods for solving systems of fourth-order nonlinear boundary value problems

Muhammad Aslam Noor1, 2*, Khalida Inayat Noor1, Asif Waheed1 and Eisa A. Al-Said2
1Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan. 2Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia.
Email: [email protected], [email protected]

  •  Accepted: 31 December 2010
  •  Published: 04 January 2011

Abstract

In this paper, we use a modified variation of parameters method, which is an elegant coupling of variation of parameters method and Adomian’s decomposition method, for finding the analytical solution of systems of fourth-order nonlinear boundary value problems. Examples are given to illustrate the implementation and efficiency of the modified variation of parameters method. Results obtained in this paper represent a refinement and improvement of the previous known results.

 

Key words: Adomian’s polynomials, variation of parameters method, systems of nonlinear boundary value problems.