Open Access

ARTICLE

A Novel Stochastic Framework for the MHD Generator in Ocean

by Sakda Noinang¹, Zulqurnain Sabir², Shumaila Javeed³, Muhammad Asif Zahoor Raja⁴, Dostdar Ali³, Wajaree Weera^5,*, Thongchai Botmart⁵

1 Department of Mathematics Statistics and Computer, Faculty of Science, Ubon Ratchathani University, Ubon Ratchathani 34190, Thailand
2 Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan
3 Department of Mathematics, Comsats University Islamabad, 45550 Islamabad Campus, Islamabad, Pakistan
4 Future Technology Research Center, National Yunlin University of Science and Technology, Yunlin 64002, Taiwan
5 Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

* Corresponding Author: Wajaree Weera. Email:

Computers, Materials & Continua 2022, 73(2), 3383-3402. https://doi.org/10.32604/cmc.2022.029166

Received 26 February 2022; Accepted 06 May 2022; Issue published 16 June 2022

Abstract

This work aims to study the nonlinear ordinary differential equations (ODEs) system of magnetohydrodynamic (MHD) past over an inclined plate using Levenberg-Marquardt backpropagation neural networks (LMBNNs). The stochastic procedures LMBNNs are provided with three categories of sample statistics, testing, training, and verification. The nonlinear MHD system past over an inclined plate is divided into three profiles, dimensionless momentum, species (salinity), and energy (heat) conservations. The data is applied 15%, 10%, and 75% for validation, testing, and training to solve the nonlinear system of MHD past over an inclined plate. A reference data set is designed to compare the obtained and proposed solutions for the MHD system. The plots of the absolute error (AE) are provided to check the accuracy and precision of the considered nonlinear system of MHD. The obtained numerical solutions of the nonlinear magnetohydrodynamic system have been considered to reduce the mean square error (MSE). For the capability, dependability, and aptitude of the stochastic LMBNNs procedure, the numerical performances are provided to authenticate the relative arrangements of MSE, error histograms (EHs), state transitions (STs), correlation, and regression.

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Keywords

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