Gudermannian Neural Networks for Two-Point Nonlinear Singular Model Arising in the Thermal-Explosion Theory

IF 2.6 4区 计算机科学 Q3 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Samara Fatima, Zulqurnain Sabir, Dumitru Baleanu, Sharifah E. Alhazmi
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引用次数: 0

Abstract

The goal of this research is to design the Gudermannian neural networks (GNNs) to solve a type of two-point nonlinear singular boundary value problems (TPN-SBVPs) that arise within thermal-explosion theory. The results of these investigation are provided for different neurons (4, 12 and 20), as well as absolute error along with the time complexity. For solving the TPN-SBVPs, a genetic algorithm (GA) and sequential quadratic programming (SQP) are used to optimize the error function. The accuracy of designed GNNs is provided by using a hybrid GA–SQP combination, which is based on a comparison of obtained and actual solutions. Furthermore, statistical analysis of the data is proposed in order to establish the competence as well as effectiveness of designed and the efficacy of the designed computing framework for solving the TPN-SBVPs.

Abstract Image

热爆炸理论中出现的两点非线性奇异模型的古德曼神经网络
本研究的目标是设计古德曼神经网络(GNN),以解决热爆炸理论中出现的一种两点非线性奇异边界值问题(TPN-SBVPs)。我们提供了不同神经元(4、12 和 20)的研究结果,以及绝对误差和时间复杂度。在求解 TPN-SBVPs 时,使用了遗传算法(GA)和序列二次编程(SQP)来优化误差函数。通过使用 GA-SQP 混合组合,在比较获得的解和实际解的基础上,提供了所设计的 GNN 的准确性。此外,还提出了数据统计分析,以确定所设计的计算框架在解决 TPN-SBVPs 方面的能力和有效性。
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来源期刊
Neural Processing Letters
Neural Processing Letters 工程技术-计算机:人工智能
CiteScore
4.90
自引率
12.90%
发文量
392
审稿时长
2.8 months
期刊介绍: Neural Processing Letters is an international journal publishing research results and innovative ideas on all aspects of artificial neural networks. Coverage includes theoretical developments, biological models, new formal modes, learning, applications, software and hardware developments, and prospective researches. The journal promotes fast exchange of information in the community of neural network researchers and users. The resurgence of interest in the field of artificial neural networks since the beginning of the 1980s is coupled to tremendous research activity in specialized or multidisciplinary groups. Research, however, is not possible without good communication between people and the exchange of information, especially in a field covering such different areas; fast communication is also a key aspect, and this is the reason for Neural Processing Letters
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