Indian Journal of
Science and Technology
 
 
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Issue No:8 Vol.4
August-2011
ISSN: 0974-5645
RESEARCH ARTICLES Viewers & PDF
19. An investigation of nonlinear KdV type equations using HPM and VIM.   H.Goodarzian, M.Ghobadi, M.A. Farahabadi, H.Mohammadnezhad and S.S.Hejazi.Indian J.Sci.Technol. Vol.4, Issue 8, pp: 952-956.

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  • Abstract
    The KdV equation appears in fluid mechanics. This equation incorporates both convection and diffusion in fluid dynamics, and is used to describe the structure of shock waves. The objective of this paper is to present a comparative study of He's Homotopy perturbation method (HPM) and variational iteration method (VIM) for the semi analytical solution of three different Kortweg-de Vries (KdV) type equations called KdV, K(2,2,) and modified KdV (Burgers) equations. The study has been highlighted the efficiency and capability of aforementioned methods in solving these nonlinear problems which has been arisen from a number of important physical phenomenon.
  • Keywords: Variational Iteration Method (VIM); Homotopy Perturbation Method (HPM); KdV Equation; Modified KdV Equation.