A new method for solving nonlinear partial differential equations based on liquid time-constant networks
DOI10.1007/s11424-024-3349-zOpenAlexW4391261027WikidataQ129291146 ScholiaQ129291146MaRDI QIDQ6130983
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Publication date: 3 April 2024
Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11424-024-3349-z
nonlinear partial differential equationsnumerical solutionsphysics-informed neural networksphysics-informed liquid networks
Artificial neural networks and deep learning (68T07) Neural networks for/in biological studies, artificial life and related topics (92B20) Control problems involving ordinary differential equations (34H05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Traveling wave solutions (35C07) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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