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

Modified homotopy perturbation method for stiff delay differential equations (DDEs)

M. A. Asadi1, F. Salehi1, S. T. Mohyud-Din2* and M. M. Hosseini3
1Department of Mathematics, Darab Branch, Islamic Azad University, Darab, Iran. 2Department of Mathematics, HITEC University, Taxila Cantonment, Pakistan. 3Faculty of Mathematics, Yazd University, P.O. Box 89195-74, Yazd, Iran.
Email: [email protected]

  •  Accepted: 04 January 2012
  •  Published: 09 February 2012


In this paper, an efficient modification is introduced into the well-known homotopy perturbation method which proves very effective to control the convergence region of approximate solution. By using this scheme, explicit exact solution is calculated in the form of a convergent power series with easily computable components. The proposed algorithm is tested on some neutral stiff functional-differential equations with proportional delays (DDEs). Numerical results explicitly reveal the complete reliability, efficiency and accuracy of the suggested technique. It is observed that the approach may be implemented on other models of physical nature.


Key words: Homotopy perturbation method, systems of stiff delay differential equations, Pade approximation.