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Homotopy Perturbation Method for Time-Fractional Shock Wave Equation
Mithilesh Singh, Praveen Kumar Gupta
Journal:

Advances in Applied Mathematics and Mechanics / Volume 3 / Issue 6 / December 2011

Published online by Cambridge University Press:

03 June 2015, pp. 774-783

Print publication:

December 2011
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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.

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Homotopy Perturbation Method for Time-Fractional Shock Wave Equation