Title of article
Analytical solution of fractional Navier–Stokes equation by using modified Laplace decomposition method
Author/Authors
Kumar, Sunil National Institute of Technology - Department of Mathematics, India , Kumar, Deepak Banaras Hindu University - Department of Statistics, India , Abbasbandy, Saeid imam khomeini international university - Department of Mathematics, قزوين, ايران , Rashidi, M.M. bu ali sina university of hamadan - Engineering Faculty - Mechanical Engineering Department, همدان, ايران , Rashidi, M.M. University of Michigan-Shanghai, Jiao Tong University - Joint Institute - Mechanical Engineering Department, China
From page
569
To page
574
Abstract
The aim of this article is to introduce a new analytical and approximate technique to obtain the solution of time-fractional Navier–Stokes equation in a tube. This proposed technique is the coupling of Adomian decomposition method (ADM) and Laplace transform method (LTM). We have consider the unsteady flow of a viscous fluid in a tube in which, besides time as one of the dependent variable, the velocity field is a function of only one space coordinate. A good agreement between the obtained solutions and some well-known results has been demonstrated. It is shown that the proposed method robust, efficient, and easy to implement for linear and nonlinear problems arising in science and engineering.
Keywords
Adomian decomposition method (ADM) , Laplace transform method (LTM) , Fractional modified Laplacedecomposition method (FMLDM) , Fractional Navier–Stokes equation , Analytic solution
Journal title
Ain Shams Engineering Journal
Journal title
Ain Shams Engineering Journal
Record number
2648973
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