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Solving a fourth order partial differential equations using deep neural networks.

Authors :
Francis, Jain M.
Chandhini, G.
Source :
AIP Conference Proceedings. 2024, Vol. 3081 Issue 1, p1-9. 9p.
Publication Year :
2024

Abstract

In this study, we compare the effect of different hyperparameters of the deep neural network while solving partial differential equations. We consider feed-forward neural networks, and the hyperparameters such as the number of hidden layers, number of neurons, activation function, optimization methods, and learning rate are studied in this paper. Numerical results for the effect of all the hyperparameters while solving fourth-order partial differential equations are mentioned in this study. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
3081
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
176929469
Full Text :
https://doi.org/10.1063/5.0196097