A comparison of deep learning-based techniques for solving partial differential equations

• Main Authors: Rabiu Bashir Yunus, Nooraini Zainuddin, Afza Shafie, Muhammad Izzatullah Mohd Mustafa, Samsul Ariffin Abdul Karim
• Format: Article
• Language: English; English
• Published: American Institute of Physics Inc. 2024
• Subjects: QA1-939 Mathematics; QC1-75 General
• Online Access: https://eprints.ums.edu.my/id/eprint/38814/1/ABSTRACT.pdf; https://eprints.ums.edu.my/id/eprint/38814/2/FULL%20TEXT.pdf; https://eprints.ums.edu.my/id/eprint/38814/; https://doi.org/10.1063/5.0171671

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 que...