International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2570

Full Length Research Paper

Solutions of nonlinear singular initial value problems by modified homotopy perturbation method

M. Jafari1, M. M. Hosseini1 and Syed Tauseef Mohyud-Din2
  Faculty of Mathematics, Yazd University, P. O. Box 89195-74, Yazd, Iran.   Department of Mathematics, HITEC University, Taxila Cantt, Pakistan.
Email: [email protected]

  •  Accepted: 19 January 2011
  •  Published: 18 March 2011

Abstract

 

In this paper we present an efficient modification of the homotopy perturbation method. We apply the method to solve a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs). Modified homotopy perturbation method (MHPM) yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by standard HPM show the efficiency and accuracy of MHPM in solving singular problems.

 

Key words: Singular initial value problems, homotopy perturbation method, ordinary differential equations.