Numerical analysis of multi-dimensional Navier–Stokes equation based on Yang–Abdel–Cattani fractional operator-Reference-Cited by-同舟云学术

Numerical analysis of multi-dimensional Navier–Stokes equation based on Yang–Abdel–Cattani fractional operator

Published:2024-04-25 Issue: Volume: Page:
ISSN:2661-3352
Container-title:International Journal of Mathematics for Industry
language:en
Short-container-title:Int. J. Math. Ind.

Author:

Aychluh Mulualem¹^ORCID,Ayalew Minilik¹^ORCID,Suthar D. L.²^ORCID,Purohit S. D.³⁴^ORCID

Affiliation:

1. Department of Mathematics, Samara University, Samara, Ethiopia

2. Department of Mathematics, Wollo University, Dessie, Amhara, Ethiopia

3. Department of Mathematics (HEAS), Rajasthan Technical University, Kota, Rajasthan, India

4. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

Abstract

The Navier–Stokes equation is a key governing equation for the motion of viscous fluid flow. The main target of our work is to obtain the solution to multi-dimensional Navier–Stokes equations in the Yang–Abdel–Cattani fractional sense. The results of the model are in terms of the three-parameter Prabhakar function. Three examples are discussed that depend on the recommended method for a novel Yang–Abdel–Cattani arbitrary order operator. The obtained results are plotted with the help of MATLAB R2016a mathematical software.

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S266133522440001X

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4. Numerical Solution of Nonlinear Fractional Diffusion Equation in Framework of the Yang–Abdel–Cattani Derivative Operator