Indian Journal of Science and Technology

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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

Keywords

Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM), KdV Equation, Modified KdV Equation
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