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

Prakash Amit, Prakasha Doddabhadrappla Gowda, Veeresha Pundikala

Nonlinear Engineering · 2019

doi:10.1515/nleng-2018-0080 (opens in a new tab)

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Abstract

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.

Abstract licence: CC BY

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