Method for solving ordinary differential equations of a neural network combined with the ReLU function

Xiaonan Li; Enliang Hu

doi:10.1117/12.3009538

16 October 2023 Method for solving ordinary differential equations of a neural network combined with the ReLU function

Xiaonan Li, Enliang Hu

Proceedings Volume 12803, Fifth International Conference on Artificial Intelligence and Computer Science (AICS 2023); 128030K (2023) https://doi.org/10.1117/12.3009538
Event: 2023 5th International Conference on Artificial Intelligence and Computer Science (AICS 2023), 2023, Wuhan, China

Abstract

Neural networks, as powerful tools for information processing, have been widely applied in various engineering fields. In this paper, we propose a neural network-based solution method that combines the ReLU function for ordinary differential equation (ODE) problems in scientific and engineering applications. The fundamental idea is to approximate the analytical solution of the initial value problem using the output of the neural network model proposed in this study. Through different examples, we demonstrate the accuracy and stability of this algorithm.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Xiaonan Li and Enliang Hu "Method for solving ordinary differential equations of a neural network combined with the ReLU function", Proc. SPIE 12803, Fifth International Conference on Artificial Intelligence and Computer Science (AICS 2023), 128030K (16 October 2023); https://doi.org/10.1117/12.3009538

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