A novel difference schemes for analyzing the fractional Navier-Stokes equations

Sayevand, Khosro; Baleanu, Dumitru; Sahsavand, Fatemeh

doi:10.1515/auom-2017-0015

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A novel difference schemes for analyzing the fractional Navier-Stokes equations

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 25 (2017): Issue 1 (January 2017)

By: Khosro Sayevand, Dumitru Baleanu and Fatemeh Sahsavand

Open Access

|Sep 2017

Abstract

In this report, a novel difference scheme is used to analyzing the Navier - Stokes problems of fractional order. Existence and uniqueness of the suggested approach with a Lipschitz condition and Picard theorem are proved. Furthermore, we find a discrete analogue of the derivative and then stability and convergence of our strategy in multi dimensional domain are proved.

References

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DOI: https://doi.org/10.1515/auom-2017-0015 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 195 - 206

Submitted on: Jan 21, 2015

Accepted on: Jan 3, 2016

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Fractional calculus,

Difference scheme,

Navier - Stokes equations,

Riemann Liouville fractional derivative

Related subjects:

Mathematics,

General mathematics

© 2017 Khosro Sayevand, Dumitru Baleanu, Fatemeh Sahsavand, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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