African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

Solution of a class of singular two point boundary value problems by variational method

Bhupesh K. Tripathi
  • Bhupesh K. Tripathi
  • Department of Mathematics, C. M. P. College, University of Allahabad Allahabad-211002, India
  • Google Scholar


  •  Accepted: 18 February 2013
  •  Published: 31 March 2013

Abstract

 

 

In this study, He’s highly prolific variational iteration method (VIM) is applied effectively for showing the existence, uniqueness and solving a class of singular second order, two point boundary value problems. The process of finding solution involves generation of a sequence of appropriate and approximate iterative solution function equally likely to converge to an exact solution of the given problem. The sequence of iterates are processed out and improvised on its own at every step recursively in quest for the solution of the problem by the proposed methodology. Illustrative examples available to the context in literature when treated with, by application of such method fetch encouraging results so as to justify and reveal its efficiency and usefulness.

 

Key words: Variationaliteration method, sequence, linearization, descritization, transformation, singular boundary value problem, convergence, Lagrange multiplier, smooth function.