A Novel Difference Schemes for Analyzing the Fractional Navier- Stokese Quations
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Ovidius Univ Press
Open Access Color
Green Open Access
No
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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.
Description
Keywords
Fractional Calculus, Difference Scheme, Navier - Stokes Equations, Riemann Liouville Fractional Derivative, riemann liouville fractional derivative, QA1-939, navier - stokes equations, primary 34a08, difference scheme, fractional calculus, secondary 49s05, Mathematics
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Sayevand, Khosro; Baleanu, Dumitru; Sahsavand, Fatemeh (2017). A novel difference schemes for analyzing the fractional Navier- Stokese quations, Analele Stiintifice Ale Universitatii Ovıdıus Constanta-Seria Matematica, 25(1), 195-206.
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
N/A
Source
Analele Universitatii "Ovidius" Constanta - Seria Matematica
Volume
25
Issue
1
Start Page
195
End Page
206
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