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Homotopy Perturbation Method for Time-Fractional Shock Wave Equation

Published online by Cambridge University Press:  03 June 2015

Mithilesh Singh  and
Praveen Kumar Gupta
Mithilesh Singh*
Affiliation:
Department of Mathematics, Dehradun Institute of Technology, Dehradun, India
Praveen Kumar Gupta
Affiliation:
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India
*
*Corresponding author. URL: http://msinghitbhu04.wetpaint.com/ Email: msingh.rs.apm@itbhu.ac.in
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Abstract

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.

Keywords

76L9976K9935L10Partial differential equationfractional derivativeshock wave equationhomotopy perturbation method
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 6 , December 2011 , pp. 774 - 783
Copyright
Copyright © Global-Science Press 2011

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