Yunus, R.B. and Zainuddin, N. and Shafie, A. and Izzatullah, M. and Karim, S.A.A. (2024) A comparison of deep learning-based techniques for solving partial differential equations. In: UNSPECIFIED.
Full text not available from this repository.Abstract
Obtaining the solutions of high-dimensional partial differential equations (PDEs) seems to be difficult by utilizing the classical numerical methods. Recently, deep neural networks (DNNs) techniques have received special attentions in solving high-dimensional problems in PDEs. In this study, our quest is to investigate some newly introduced data-driven deep learning-based approaches and compare their performance in terms of their efficiency and faster training towards high-dimensional PDEs. However, the comparison is carried out based on different activation functions, number of layers and gradient based optimizers. We consider some benchmark problems in our numerical experiments which includes Burgers equation, Diffusion-reaction equation and Allen-Cahn Equations. © 2024 Author(s).
Item Type: | Conference or Workshop Item (UNSPECIFIED) |
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Additional Information: | cited By 0; Conference of 29th National Symposium on Mathematical Sciences, SKSM 2022 ; Conference Date: 7 September 2022 Through 8 September 2022; Conference Code:196194 |
Depositing User: | Mr Ahmad Suhairi UTP |
Date Deposited: | 04 Jun 2024 14:19 |
Last Modified: | 04 Jun 2024 14:19 |
URI: | https://khub.utp.edu.my/scholars/id/eprint/19981 |