Physics-informed neural networks with hybrid Kolmogorov-Arnold network and augmented Lagrangian function for solving partial differential equations.

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第一作者： Zhaoyang,Zhang

第一单位： Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, 650500, China.

作者： Zhaoyang,Zhang ^[1] ; Qingwang,Wang ^[2] ; Yinxing,Zhang ^[1] ; Tao,Shen ^[1] ; Weiyi,Zhang ^[3]

作者单位： Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, 650500, China. ^[1] Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, 650500, China. wangqingwang@kust.edu.cn. ^[2] School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou, 215009, China. ^[3]

关键词 Augmented Lagrangian function Kolmogorov-Arnold network Partial differential equations Physics-informed neural networks

DOI 10.1038/s41598-025-92900-1

PMID 40148388

发布时间 2025-03-30

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