University of Bahrain
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A fractional model of Navier–Stokes equation arising in unsteady flow of a viscous fluid

Show simple item record Kumar, Devendra Singh, Jagdev Kumar, Sunil 2018-07-29T08:56:14Z 2018-07-29T08:56:14Z 2015
dc.identifier.issn 1815-3852
dc.description.abstract In this paper, we present a reliable algorithm based on the new homotopy perturbation transform method (HPTM) to solve a time-fractional Navier–Stokes equation in a tube. The fractional derivative is considered in the Caputo sense. By using an initial value, the explicit solution of the equation has been presented in a closed form and then its numerical solution has been represented graphically. The new homotopy perturbation transform method is a combined form of the Laplace transform method and the homotopy perturbation method. The results obtained by the proposed technique indicate that the approach is easy to implement and computationally very attractive. en_US
dc.language.iso en en_US
dc.publisher University of Bahrain en_US
dc.rights Attribution-NonCommercial-ShareAlike 4.0 International *
dc.rights.uri *
dc.subject Analytical solution
dc.subject Laplace transform method
dc.subject Homotopy perturbation method
dc.subject He’s polynomials
dc.subject Fractional Navier–Stokes equations
dc.title A fractional model of Navier–Stokes equation arising in unsteady flow of a viscous fluid en_US
dc.type Article en_US
dc.source.title Arab Journal of Basic and Applied Sciences
dc.abbreviatedsourcetitle AJBAS

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