Analysis of fractional multi-dimensional Navier–Stokes equation

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...

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Veröffentlicht in:Advances in difference equations 2021-01, Vol.2021 (1), p.1-18, Article 91
Hauptverfasser: Chu, Yu-Ming, Ali Shah, Nehad, Agarwal, Praveen, Dong Chung, Jae
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Sprache:eng
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Zusammenfassung: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-021-03250-x