A Levenberg-Marquardt Backpropagation Neural Network for the Numerical Treatment of Squeezing Flow With Heat Transfer Model

被引:30
作者
Almalki, Maryam Mabrook [1 ,2 ]
Alaidarous, Eman Salem [2 ]
Maturi, Dalal Adnan [2 ]
Raja, Muhammad Asif Zahoor [3 ]
Shoaib, Muhammad [4 ]
机构
[1] Umm Al Qura Univ, Fac Sci, Dept Math, Mecca 24211, Saudi Arabia
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[3] Natl Yunlin Univ Sci & Technol, Future Technol Res Ctr, Touliu 64002, Yunlin, Taiwan
[4] COMSATS Univ Islamabad, Dept Math, Attock Campus, Islamabad 45550, Pakistan
关键词
Artificial neural networks; Heat transfer; Numerical models; Mathematical model; Training; Computational modeling; Convergence; Squeezing flow; heat transfer; soft computing infrastructure; neural networks backpropagated; Levenberg-Marquard training; FLUID; DESIGN; PLATES;
D O I
10.1109/ACCESS.2020.3044973
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the computational strength in terms of soft computing neural networks backpropagated with the efficacy of Levenberg-Marquard training (NN-BLMT) is presented to study the squeezing flow with the heat transfer model (SF-HTM). The governing system of PDEs is reduced to an equivalent system of nonlinear ODEs using similarity transformations. NN-BLMT dataset for all problem scenarios progresses through the standard Adam numerical method by the influence of Prandtl number, Eckert number, and thermal slip. The processing of NN-BLMT training, testing, and validation, is employed for various scenarios and cases to find and compare approximation solutions with reference results. For the fluidic system SF-HTM, convergence analysis based on mean square errors, histogram presentations, and statistical regression plots is considered for the proposed computing infrastructure's performance in terms of NN-BLMT. Matching of the results for the fluid flow system SF-HTM based on proposed and reference results in terms of convergence up-to 10(-07) to 10(-03) proves the worth of proposed NN-BLMT.
引用
收藏
页码:227340 / 227348
页数:9
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