Rashid, Saima and Kaabar, Mohammed K. A. and Althobaiti, Ali and Alqurashi, M. S. (2023) Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography. Journal of Ocean Engineering and Science, 8 (2). pp. 196-215. ISSN 2468-0133, DOI https://doi.org/10.1016/j.joes.2022.01.003.
Full text not available from this repository.Abstract
The main idea of this article is the investigation of atmospheric internal waves, often known as gravity waves. This arises within the ocean rather than at the interface. A shallow fluid assumption is illustrated by a series of nonlinear partial differential equations in the framework. Because the waves are scattered over a wide geographical region, this system can precisely replicate atmospheric internal waves. In this research, the numerical solutions to the fuzzy fourth-order time-fractional Boussinesq equation (BSe) are determined for the case of the aquifer propagation of long waves having small amplitude on the sur-face of water from a channel. The novel scheme, namely the generalized integral transform (proposed by H. Jafari 35]) coupled with the Adomian decomposition method (GIADM), is used to extract the fuzzy fractional BSe in R , Rn and (2nth)-order including gH-differentiability. To have a clear understanding of the physical phenomena of the projected solutions, several algebraic aspects of the generalized integral transform in the fuzzy Caputo and Atangana-Baleanu fractional derivative operators are discussed. The confrontation between the findings by Caputo and ABC fractional derivatives under generalized Hukuhara differentiability are presented with appropriate values for the fractional order and uncertainty parameters P is an element of 0 , 1] were depicted in diagrams. According to proposed findings, hydraulic engineers, being analysts in drainage or in water management, might access adequate storage volume quantity with an uncertainty level. (c) 2022 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )
| Item Type: | Article |
|---|---|
| Funders: | Taif University Researches Support- ing Project (TURSP- 2020/326) |
| Uncontrolled Keywords: | Fuzzy set theory; Elzaki transform; Adomian decomposition method; Boussinesq equation; Caputo fractional derivative |
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) V Naval Science > VM Naval architecture. Shipbuilding. Marine engineering |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Zaharah Ramly |
| Date Deposited: | 22 Nov 2023 04:47 |
| Last Modified: | 22 Nov 2023 04:47 |
| URI: | http://eprints.um.edu.my/id/eprint/38455 |
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