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Peer-Reviewed Article January 29, 2021

Analysis of fractional multi-dimensional Navier–Stokes equation

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Published in: Advances in Difference Equations
Publisher: Springer Nature • Egypt • 1687-1839
DOI: https://doi.org/10.1186/s13662-021-03250-x

Abstract

Abstract 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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