A Novel Design Ricker Wavelet Neural Networks for Heat Transfer in Maxwell Fluid Boundary Layer Flow with Viscous Dissipation over a Porous Stretchable Sheet

IF 1.2 4区 数学 Q2 MATHEMATICS, APPLIED
Zeeshan Ikram Butt, Iftikhar Ahmad, Muhammad Shoaib, Syed Ibrar Hussain, Hira Ilyas, Muhammad Asif Zahoor Raja
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引用次数: 0

Abstract

The current research is a revolution in the field of neural computation as a quite new stochastic technique based on Ricker wavelet neural networks (RWNNs) is developed to analyze the Maxwell fluid (Max-F) boundary layer flow (BLF) with heat and mass transfer effects over an elongating surface. The global and local search solvers used with RWNNs are genetic algorithms (GAs) and sequential quadratic programming (SQP) respectively to design a new algorithm i.e. RWNNs-GASQP. The transformed nonlinear system of ODEs is acquired using the physical model represented by the flow and then solved using RWNNs-GASQP solver. The obtained numerical form results are successfully compared with reference results acquired through the Adams technique. The accuracy, convergence and effectiveness of the designed solver are identified using numerous statistical and performance analyses.

基于Ricker小波神经网络的多孔可拉伸薄板黏性耗散麦克斯韦流体边界层传热研究
目前的研究是神经计算领域的一次革命,基于Ricker小波神经网络(RWNNs)发展了一种全新的随机技术来分析具有传热传质效应的麦克斯韦流体(Max-F)边界层流动(BLF)。RWNNs采用遗传算法(GAs)和序列二次规划(SQP)分别进行全局和局部搜索求解,设计了一种新的RWNNs- gasqp算法。利用流表示的物理模型得到变换后的非线性系统,然后利用RWNNs-GASQP求解器进行求解。所得到的数值形式结果与通过Adams技术得到的参考结果进行了比较。通过大量的统计和性能分析,验证了所设计求解器的准确性、收敛性和有效性。
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来源期刊
Acta Applicandae Mathematicae
Acta Applicandae Mathematicae 数学-应用数学
CiteScore
2.80
自引率
6.20%
发文量
77
审稿时长
16.2 months
期刊介绍: Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.
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