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Homotopy Perturbation Method for Time-Fractional Shock Wave Equation

Published online by Cambridge University Press:  03 June 2015

Mithilesh Singh*
Department of Mathematics, Dehradun Institute of Technology, Dehradun, India
Praveen Kumar Gupta
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India
*Corresponding author. URL: Email:
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A scheme is developed to study numerical solution of the time-fractional shock wave equation and wave equation under initial conditions by the homotopy perturbation method (HPM). The fractional derivatives are taken in the Caputo sense. The solutions are given in the form of series with easily computable terms. Numerical results are illustrated through the graph.

Research Article
Copyright © Global-Science Press 2011

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