Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method

Shaher Momani; Zaid Odibat

doi:10.1016/j.amc.2005.11.025

Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method

Shaher Momani
, Zaid Odibat

University of Mutah
Al-Balqa Applied University

Research output: Contribution to journal › Article › peer-review

398 Scopus citations

Abstract

The aim of the present analysis is to apply Adomian decomposition method for the solution of a time-fractional Navier-Stokes equation in a tube. By using an initial value, the explicit solution of the equation has been presented in the closed form and then its numerical solution has been represented graphically. The present method performs extremely well in terms of efficiency and simplicity.

Original language	English
Pages (from-to)	488-494
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	177
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2005.11.025
State	Published - 15 Jun 2006
Externally published	Yes

Keywords

Caputo fractional derivative
Decomposition method
Navier-Stokes equations

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10.1016/j.amc.2005.11.025

Cite this

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abstract = "The aim of the present analysis is to apply Adomian decomposition method for the solution of a time-fractional Navier-Stokes equation in a tube. By using an initial value, the explicit solution of the equation has been presented in the closed form and then its numerical solution has been represented graphically. The present method performs extremely well in terms of efficiency and simplicity.",

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AU - Momani, Shaher

AU - Odibat, Zaid

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N2 - The aim of the present analysis is to apply Adomian decomposition method for the solution of a time-fractional Navier-Stokes equation in a tube. By using an initial value, the explicit solution of the equation has been presented in the closed form and then its numerical solution has been represented graphically. The present method performs extremely well in terms of efficiency and simplicity.

AB - The aim of the present analysis is to apply Adomian decomposition method for the solution of a time-fractional Navier-Stokes equation in a tube. By using an initial value, the explicit solution of the equation has been presented in the closed form and then its numerical solution has been represented graphically. The present method performs extremely well in terms of efficiency and simplicity.

KW - Caputo fractional derivative

KW - Decomposition method

KW - Navier-Stokes equations

UR - https://www.scopus.com/pages/publications/33744981446

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DO - 10.1016/j.amc.2005.11.025

M3 - Article

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EP - 494

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method

Abstract

Keywords

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