On Efficient Method For Fractional-Order Two-Dimensional Navier-Stokes Equations

Hassan  Jassim; Hijaz  Ahmed; Mohammed  Hussein; Jagdev  Singh; Devendra  Kumar; Rasool  Shah; Muslim  Zayir; Mountassir Cherif; Kadhim  Jabbar

doi:10.24996/ijs.2024.65.10.32

Authors

Hassan Jassim Department of Mathematics, University of Thi-Qar, Nasiriyah, Iraq https://orcid.org/0000-0001-5715-7752
Hijaz Ahmed Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Mohammed Hussein Scientific Research Center, Al-Ayen University, Nasiriyah, Iraq https://orcid.org/0000-0003-3894-6128
Jagdev Singh Department of Mathematics, JECRC University, Jaipur, Rajasthan, India
Devendra Kumar Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India
Rasool Shah Department of Mathematics, Abdul Wali Khan University Mardan, Mardan
Muslim Zayir Education Directorate of Thi-Qar, Ministry of Education, Thi-Qar, Iraq
Mountassir Cherif Laboratory of complex systems, Hight School of Electrical and Energetics Engineering of Oran (ESGEE-Oran)
Kadhim Jabbar College of Technical Engineering, National University of Science and Technology, Thi-Qar, Iraq https://orcid.org/0000-0002-4014-4979

DOI:

https://doi.org/10.24996/ijs.2024.65.10.32

Keywords:

Navier-Stokes equations, Laplace transform, Adomian decomposition method, Antagana-Baleanu fractional operator

Abstract

For the solution of fractional-order two-dimensional Navier-Stokes equations (FOTDNSEs), the current work proposes a novel variant of the Laplace Adomian decomposition approach with the Atangana-Baleanu fractional operator in the Caputo sense (ABCFO). In this approach, the solution is considered as a Taylor series expansion that converges rapidly to the exact solution. Only two components are required for the new approximation analytical technique. When compared to other strategies, the current method is very simple, requires less calculation, and is extremely accurate.