期刊
ALEXANDRIA ENGINEERING JOURNAL
卷 59, 期 5, 页码 2941-2956出版社
ELSEVIER
DOI: 10.1016/j.aej.2020.03.029
关键词
Variational iteration method; Natural transformation; Adomian decomposition method; Caputo derivatives; Navier-Stokes equations
In the present research article, we implemented two well-known analytical techniques to solve fractional-order multi-dimensional Navier-Stokes equation. The proposed methods are the modification of Adomian decomposition method and variational iteration method by using natural transformation. Furthermore, some illustrative examples are presented to confirm the validity of the suggested methods. The solutions graphs and tables are constructed for both fractional and integer-order problems. It is investigated that the suggested techniques have the identical solutions of the problems. The solution comparison via graphs and tables have also supported the greater accuracy and higher rate of convergence of the present methods. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
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