A neural networks technique for analysis of MHD nano-fluid flow over a rotating disk with heat generation/absorption

被引:0
作者
Jawarneh, Yousef [1 ]
Yasmin, Humaira [2 ,3 ]
Jan, Wajid Ullah [4 ]
Akbar, Ajed [4 ]
Al-Sawalha, M. Mossa [1 ]
机构
[1] Univ Hail, Coll Sci, Dept Math, Hail 2440, Saudi Arabia
[2] King Faisal Univ, Dept Basic Sci, Gen Adm Preparatory Year, POB 400, Al Hasa 31982, Saudi Arabia
[3] King Faisal Univ, Coll Sci, Dept Math & Stat, POB 400, Al Hasa 31982, Saudi Arabia
[4] Abdul Wali Khan Univ Mardan, Dept Math, Mardan, Pakistan
来源
AIMS MATHEMATICS | 2024年 / 9卷 / 11期
关键词
MHD; slip effects; heat generation/absorption; Levenberg-Marquardt scheme; rotating disk; neural network; RK4; technique; MAGNETOHYDRODYNAMIC 3-DIMENSIONAL FLOW; AL2O3-WATER NANOFLUID; STRETCHING SHEET; STEADY FLOW; SLIP; ROUGH; WEAR;
D O I
10.3934/math.20241549
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the neural network domain with the backpropagation Levenberg-Marquardt scheme (NNB-LMS) is novel with a convergent stability and generates a numerical solution of the impact of the magnetohydrodynamic (MHD) nanofluid flow over a rotating disk (MHD-NRD) with heat generation/absorption and slip effects. The similarity variation in the MHD flow of a viscous liquid through a rotating disk is explained by transforming the original non-linear partial differential equations (PDEs) to an equivalent non-linear ordinary differential equation (ODEs). Varying the velocity slip parameter, Hartman number, thermal slip parameter, heat generation/absorption parameter, and concentration slip parameter, generates a Prandtl number using the Runge-Kutta 4 th order method (RK4) numerical technique, which is a dataset for the suggested (NNB-LMS) for numerous MHD-NRD scenarios. The validity of the data is tested, and the data is processed and properly tabulated to test the exactness of the suggested model. The recommended model was compared for verification, and the estimation solutions for particular instances were assessed using the NNB-LMS training, testing, and validation procedures. A regression analysis, a mean squared error (MSE) assessment, and a histogram analysis were used to further evaluate the proposed NNB-LMS. The NNB-LMS technique has various applications such as disease diagnosis, robotic control systems, ecosystem evaluation, etc. Some statistical data such as the gradient, performance, and epoch of the model were analyzed. This recommended method differs from the reference and suggested results, and has an accuracy rating ranging from 10-09 to 10-12
引用
收藏
页码:32272 / 32298
页数:27
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