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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Main Authors: Prakash Amit, Prakasha Doddabhadrappla Gowda, Veeresha Pundikala
Format: Article
Language:English
Published: De Gruyter 2019-01-01
Series:Nonlinear Engineering
Subjects:
Online Access:https://doi.org/10.1515/nleng-2018-0080
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spelling doaj-9fbf2b37780c490f9f02c663f22ae3892021-09-06T19:21:07ZengDe GruyterNonlinear Engineering2192-80102192-80292019-01-018169570110.1515/nleng-2018-0080nleng-2018-0080A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transformPrakash Amit0Prakasha Doddabhadrappla Gowda1Veeresha Pundikala2Department of Mathematics, National Institute of Technology, Kurukshetra, 136119, IndiaDepartment of Mathematics, Karnatak University, Dharwad-580003, Hubballi, IndiaDepartment of Mathematics, Karnatak University, Dharwad-580003, Hubballi, IndiaIn 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.https://doi.org/10.1515/nleng-2018-0080navier-stokes (n-s) equationsq-homotopy analysis transform method (q-hatm)caputo fractional derivative
collection DOAJ
language English
format Article
sources DOAJ
author Prakash Amit
Prakasha Doddabhadrappla Gowda
Veeresha Pundikala
spellingShingle Prakash Amit
Prakasha Doddabhadrappla Gowda
Veeresha Pundikala
A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform
Nonlinear Engineering
navier-stokes (n-s) equations
q-homotopy analysis transform method (q-hatm)
caputo fractional derivative
author_facet Prakash Amit
Prakasha Doddabhadrappla Gowda
Veeresha Pundikala
author_sort Prakash Amit
title A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform
title_short A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform
title_full A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform
title_fullStr A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform
title_full_unstemmed A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform
title_sort reliable algorithm for time-fractional navier-stokes equations via laplace transform
publisher De Gruyter
series Nonlinear Engineering
issn 2192-8010
2192-8029
publishDate 2019-01-01
description 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.
topic navier-stokes (n-s) equations
q-homotopy analysis transform method (q-hatm)
caputo fractional derivative
url https://doi.org/10.1515/nleng-2018-0080
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