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Approximation of Two-Dimensional Time-Fractional Navier-Stokes Equations involving Atangana-Baleanu Derivative
- Source :
- International Journal of Mathematical, Engineering and Management Sciences, Vol 9, Iss 3, Pp 646-667 (2024)
- Publication Year :
- 2024
- Publisher :
- Ram Arti Publishers, 2024.
-
Abstract
- This article addresses the two analytical methods, i.e., the new iterative transform method (NITM) and the homotopy perturbation transform method (HPTM), along with an Aboodh transform (AT), to approximate the nonlinear system of two-dimensional (2D) time-fractional Navier-Stokes (TFNS) equations. We take the time-fractional derivative in the form of Atangana-Baleanu (AB). The article's suggested examples examine the accuracy and efficacy of the proposed methods, while the graphs demonstrate their potential and effectiveness. The article also provides demonstrations of uniqueness and convergence. The aforementioned techniques are straightforward and support a high rate of convergence, which helps in understanding the dynamics of fractional nonlinear systems.
Details
- Language :
- English
- ISSN :
- 24557749
- Volume :
- 9
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- International Journal of Mathematical, Engineering and Management Sciences
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.1d85f55cb57a492aa9f94af0228b29e8
- Document Type :
- article
- Full Text :
- https://doi.org/10.33889/IJMEMS.2024.9.3.033