Intelligent computing for magnetohydrodynamic micropolar nanofluid with stratification using Levenberg–Marquardt backpropagation algorithm

IF 3.7 3区 计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Ikram Ul Haq , Saira Shukat , Ikram Ullah , Waqar Ul Hassan , Hong-Na Zhang , Xiao-Bin Li , Feng-Chen Li
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引用次数: 0

Abstract

The magnetohydrodynamic (MHD) micropolar nanofluid with stratification is evaluated in this work by integrated numerical computing using the Levenberg Marquardt backpropagation (LMBB) optimization technique, an artificial neural network (ANN) approach. After that, model is condensed to a set of problems with boundary values, which are resolved utilizing the proposed method LMBB algorithm and a numerical technique BVP4c. The LMBB approach is an iterative approach for figuring out the least of a function that is not linear, is distinct as the addition of squares. The outcomes are also cross-checked against those of earlier studies and the MATLAB’s BVP4c solver for validation. The mapping of velocity, concentration and temperature profiles from the input to results is another use of neural networking. These results show the accuracy level of the predictions and improvements made by ANN. To generalize a dataset, the BVP4c techniques’ performance is utilized to lower error of mean square. Data based on the ratio of training (80 %), validation (10 %) and testing (10 %) is used by the ANN-based LMBB backpropagation optimization technique. Histograms and function fitness are utilized to verify the algorithm’s dependability. For fluid dynamics, numerical methods and ANN perform incredibly well together, and this could result in new developments across a wide range of fields. The results of this study may aid in the optimization of fluid systems, leading to higher productivity and efficiency in a range of engineering applications.
基于Levenberg-Marquardt反向传播算法的磁流体微极纳米流体分层智能计算
利用人工神经网络方法Levenberg - Marquardt反向传播(LMBB)优化技术,对具有分层的磁流体动力学(MHD)微极纳米流体进行了综合数值计算。然后,将模型压缩为一组具有边界值的问题,利用所提出的方法LMBB算法和数值技术BVP4c进行求解。LMBB方法是一种迭代方法,用于计算非线性函数的最小值,它与平方的加法不同。结果也与早期的研究和MATLAB的BVP4c求解器进行了交叉检查,以进行验证。从输入到结果的速度、浓度和温度曲线的映射是神经网络的另一个用途。这些结果表明了人工神经网络预测的精度水平和改进。为了泛化数据集,利用BVP4c技术的性能来降低均方误差。基于神经网络的LMBB反向传播优化技术使用了基于训练(80 %)、验证(10 %)和测试(10 %)比率的数据。利用直方图和函数适应度来验证算法的可靠性。对于流体动力学,数值方法和人工神经网络一起表现得非常好,这可能会在广泛的领域带来新的发展。这项研究的结果可能有助于流体系统的优化,从而在一系列工程应用中提高生产率和效率。
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来源期刊
Journal of Computational Science
Journal of Computational Science COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS-COMPUTER SCIENCE, THEORY & METHODS
CiteScore
5.50
自引率
3.00%
发文量
227
审稿时长
41 days
期刊介绍: Computational Science is a rapidly growing multi- and interdisciplinary field that uses advanced computing and data analysis to understand and solve complex problems. It has reached a level of predictive capability that now firmly complements the traditional pillars of experimentation and theory. The recent advances in experimental techniques such as detectors, on-line sensor networks and high-resolution imaging techniques, have opened up new windows into physical and biological processes at many levels of detail. The resulting data explosion allows for detailed data driven modeling and simulation. This new discipline in science combines computational thinking, modern computational methods, devices and collateral technologies to address problems far beyond the scope of traditional numerical methods. Computational science typically unifies three distinct elements: • Modeling, Algorithms and Simulations (e.g. numerical and non-numerical, discrete and continuous); • Software developed to solve science (e.g., biological, physical, and social), engineering, medicine, and humanities problems; • Computer and information science that develops and optimizes the advanced system hardware, software, networking, and data management components (e.g. problem solving environments).
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