A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations
In this article, we introduce a new technique to create a series solution to the time-fractional Navier - Stokes equations is using a combination of the Laplace Transform with the residual power series method. Laurent series presented in the construction of the proposed method used for solving fract...
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Elsevier
2022
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oai:doaj.org-article:9c940fb286a6496ba42923387064d7362021-11-18T04:45:52ZA new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations1110-016810.1016/j.aej.2021.07.020https://doaj.org/article/9c940fb286a6496ba42923387064d7362022-02-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004907https://doaj.org/toc/1110-0168In this article, we introduce a new technique to create a series solution to the time-fractional Navier - Stokes equations is using a combination of the Laplace Transform with the residual power series method. Laurent series presented in the construction of the proposed method used for solving fractional physical equations. Speed and accuracy in extracting an exact or approximate solution are the most features of the new procedure. The proposed method examined two Navier-Stokes equations that representing the motion of flow in a pipe. Comparisons with previous methods and error analysis were performed to demonstrate the efficacy and accuracy of the technique.Aliaa BurqanAhmad El-AjouRania SaadehMohammed Al-SmadiElsevierarticleSeries solutionsCaputo fractional derivativeFractional partial differential equationsIntegral transformsEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 2, Pp 1069-1077 (2022) |
| institution |
DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
Series solutions Caputo fractional derivative Fractional partial differential equations Integral transforms Engineering (General). Civil engineering (General) TA1-2040 |
| spellingShingle |
Series solutions Caputo fractional derivative Fractional partial differential equations Integral transforms Engineering (General). Civil engineering (General) TA1-2040 Aliaa Burqan Ahmad El-Ajou Rania Saadeh Mohammed Al-Smadi A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations |
| description |
In this article, we introduce a new technique to create a series solution to the time-fractional Navier - Stokes equations is using a combination of the Laplace Transform with the residual power series method. Laurent series presented in the construction of the proposed method used for solving fractional physical equations. Speed and accuracy in extracting an exact or approximate solution are the most features of the new procedure. The proposed method examined two Navier-Stokes equations that representing the motion of flow in a pipe. Comparisons with previous methods and error analysis were performed to demonstrate the efficacy and accuracy of the technique. |
| format |
article |
| author |
Aliaa Burqan Ahmad El-Ajou Rania Saadeh Mohammed Al-Smadi |
| author_facet |
Aliaa Burqan Ahmad El-Ajou Rania Saadeh Mohammed Al-Smadi |
| author_sort |
Aliaa Burqan |
| title |
A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations |
| title_short |
A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations |
| title_full |
A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations |
| title_fullStr |
A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations |
| title_full_unstemmed |
A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations |
| title_sort |
new efficient technique using laplace transforms and smooth expansions to construct a series solution to the time-fractional navier-stokes equations |
| publisher |
Elsevier |
| publishDate |
2022 |
| url |
https://doaj.org/article/9c940fb286a6496ba42923387064d736 |
| work_keys_str_mv |
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1718425055912787968 |