TDOR-MPINNs: multi-output physics-informed neural networks based on time differential order reduction for solving coupled Klein-Gordon-Zakharov systems

DOI10.1016/j.rinam.2024.100462MaRDI QIDQ6568897

Jiahuan He, Yang Liu, Hong Li

Publication date: 8 July 2024

Published in: Results in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

reliability analysiscoupled Klein-Gordon-Zakharov (KGZ) systemsmulti-output physics-informed neural networkstime differential order reduction

Mathematics Subject Classification ID

Computational learning theory (68Q32) Central limit and other weak theorems (60F05) Artificial neural networks and deep learning (68T07) Applications of statistics to physics (62P35) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Motion of charged particles (78A35) Waves and radiation in optics and electromagnetic theory (78A40) Reliability and life testing (62N05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Monte Carlo methods applied to problems in optics and electromagnetic theory (78M31)

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