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Symmetry 2019, 11(2), 149; https://doi.org/10.3390/sym11020149

Laplace Adomian Decomposition Method for Multi Dimensional Time Fractional Model of Navier-Stokes Equation

1
Department of Mechanical Engineering, Sarhad University of Science and Information Technology, Peshawar, Pakistan
2
Department of Mathematics, Abdul Wali khan University, Mardan, Pakistan
*
Author to whom correspondence should be addressed.
Received: 8 January 2019 / Revised: 22 January 2019 / Accepted: 23 January 2019 / Published: 29 January 2019
(This article belongs to the Special Issue Fractional Differential Equations: Theory, Methods and Applications)
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Abstract

In this research paper, a hybrid method called Laplace Adomian Decomposition Method (LADM) is used for the analytical solution of the system of time fractional Navier-Stokes equation. The solution of this system can be obtained with the help of Maple software, which provide LADM algorithm for the given problem. Moreover, the results of the proposed method are compared with the exact solution of the problems, which has confirmed, that as the terms of the series increases the approximate solutions are convergent to the exact solution of each problem. The accuracy of the method is examined with help of some examples. The LADM, results have shown that, the proposed method has higher rate of convergence as compare to ADM and HPM. View Full-Text
Keywords: Laplace Adomian Decomposition Method (LADM); Navier-Stokes equation; Caputo Operator Laplace Adomian Decomposition Method (LADM); Navier-Stokes equation; Caputo Operator
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Mahmood, S.; Shah, R.; khan, H.; Arif, M. Laplace Adomian Decomposition Method for Multi Dimensional Time Fractional Model of Navier-Stokes Equation. Symmetry 2019, 11, 149.

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