4.4 Article

Analysis of fractional multi-dimensional Navier-Stokes equation

Journal

ADVANCES IN DIFFERENCE EQUATIONS
Volume 2021, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1186/s13662-021-03250-x

Keywords

Variational iteration method; Laplace transform; Caputo derivatives; Navier-Stokes equations

Funding

  1. Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [2017R1D1A1B05030422]

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A hybrid method called variational iteration transform method was implemented to solve fractional-order Navier-Stokes equation in this paper. The solutions of three examples demonstrated the validity of the method, which was found to be efficient, reliable, and easy to implement for various related problems in science and engineering.
In this paper, a hybrid method called variational iteration transform method has been implemented to solve fractional-order Navier-Stokes equation. Caputo operator describes fractional-order derivatives. The solutions of three examples are presented to show the validity of the current method without using Adomian and He's polynomials. The results of the proposed method are shown and analyzed with the help of figures. It is shown that the proposed method is found to be efficient, reliable, and easy to implement for various related problems of science and engineering.

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