HomPINNs : homotopy physics-informed neural networks for solving the inverse problems of nonlinear differential equations with multiple solutions

Due to the complex behavior arising from non-uniqueness, symmetry, and bifurcations in the solution space, solving inverse problems of nonlinear differential equations (DEs) with multiple solutions is a challenging task. To address this, we propose homotopy physics-informed neural networks (HomPINNs...

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Bibliographische Detailangaben

Veröffentlicht in:	Journal of computational physics. - 1986. - 500(2024) vom: 01. März
1. Verfasser:	Zheng, Haoyang (VerfasserIn)
Weitere Verfasser:	Huang, Yao, Huang, Ziyang, Hao, Wenrui, Lin, Guang
Format:	Online-Aufsatz
Sprache:	English
Veröffentlicht:	2024
Zugriff auf das übergeordnete Werk:	Journal of computational physics
Schlagworte:	Journal Article Homotopy continuation method Machine learning Multiple solutions Nonlinear differential equations Physics-informed neural networks