Analytical solution of fractional

Ain Shams Engineering Journal

Saeid Abbasbandy¹  Sunil Kumar²  Deepak Kumar³  M.M. Rashidi⁴ 

[1] Department of Mathematics, Imam Khomeini International University, Ghazvin 34149-16818, Iran;Department of Mathematics, National Institute of Technology, Jamshedpur 831014, Jharkhand, India;Department of Statistics, Banaras Hindu University, Varanasi 221005, India;Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran;

关键词: Adomian decomposition method (ADM);    Laplace transform method (LTM);    Fractional modified Laplace decomposition method (FMLDM);    Fractional Navier–Stokes equation;    Analytic solution;   

DOI  :  10.1016/j.asej.2013.11.004

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown