Quantitative Study of Non-Linear Convection Diffusion Equations for a Rotating-Disc Electrode

Author:

Alshammari Fahad SameerORCID,Jan Hamad,Sulaiman MuhammadORCID,Prathumwan DinORCID,Laouini GhaylenORCID

Abstract

Rotating-disc electrodes (RDEs) are favored technologies for analyzing electrochemical processes in electrically charged cells and other revolving machines, such as engines, compressors, gearboxes, and generators. The model is based on the concept of the nonlinear entropy convection-diffusion equations, which are constructed using semi-boundaries as an infinite notion. In this model, the surrogate solutions with different parameter values for the mathematical characterization of non-dimensional OH− and H+ ion concentrations at a rotating-disc electrode (RDE) are investigated using an intelligent hybrid technique by utilizing neural networks (NN) and the Levenberg–Marquardt algorithm (LMA). Reference solutions were calculated using the RK-4 numerical method. Through the training, validation, and testing sampling of reference solutions, the NN-BLMA approximations were recorded. Error histograms, absolute error, curve fitting graphs, and regression graphs validated the NN-BLMA’s resilience and accuracy for the problem. Additionally, the comparison graphs between the reference solution and the NN-BLMA procedure established that our paradigm is reliable and accurate.

Funder

Department of Mathematics, Faculty of Science, Khon Kaen University, Thailand

Publisher

MDPI AG

Subject

General Physics and Astronomy

Reference50 articles.

1. Uniformly accessible electrodes;Albery;J. Electroanal. Chem. Interfacial Electrochem.,1983

2. Shi, M., Wang, R., Li, L., Chen, N., Xiao, P., Yan, C., and Yan, X. Redox-Active Polymer Integrated with MXene for Ultra-Stable and Fast Aqueous Proton Storage. Adv. Funct. Mater., 2022.

3. Levich, V.G. (1962). Physicochemical Hydrodynamics, Prentice-Hall.

4. The use of a rotating disk electrode in the studies of electrochemical kinetics and electrolytic processes;Koutecky;Russ. J. Phys. Chem. A,1958

5. Bockris, J.O., Conway, B.E., and White, R.E. (1992). Modern Aspects of Electrochemistry, Springer Science & Business Media.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3