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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Online Access: | https://doi.org/10.1515/nleng-2018-0080 |
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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 |
work_keys_str_mv |
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