M-WDRNNs: Mixed-Weighted Deep Residual Neural Networks for Forward and Inverse PDE Problems

Physics-informed neural networks (PINNs) have been widely used to solve partial differential equations in recent years. But studies have shown that there is a gradient pathology in PINNs. That is, there is an imbalance gradient problem in each regularization term during back-propagation, which makes...

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Bibliographic Details
Main Authors: Jiachun Zheng, Yunlei Yang
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/8/750