A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform

A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform

In this paper, numerical solution of fractional order Navier-Stokes equations in unsteady viscous fluid flow is found using q-homotopy analysis transform scheme. Fractional derivative is considered in Caputo sense. The proposed technique is a blend of q-homotopy analysis scheme and transform of Lapl...

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Bibliographic Details
Main Authors: Prakash Amit, Prakasha Doddabhadrappla Gowda, Veeresha Pundikala
Format: Article
Language:English
Published: De Gruyter 2019-01-01
Series:Nonlinear Engineering
Subjects:
navier-stokes (n-s) equations
q-homotopy analysis transform method (q-hatm)
caputo fractional derivative
Online Access:https://doi.org/10.1515/nleng-2018-0080
Description
Summary:In this paper, numerical solution of fractional order Navier-Stokes equations in unsteady viscous fluid flow is found using q-homotopy analysis transform scheme. Fractional derivative is considered in Caputo sense. The proposed technique is a blend of q-homotopy analysis scheme and transform of Laplace. It executes well in efficiency and provides h-curves that show convergence range of series solution.
ISSN:2192-8010
2192-8029

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