Solving Partial Differential Equations with Point Source Based on Physics-Informed Neural Networks
[article]
Xiang Huang, Hongsheng Liu, Beiji Shi, Zidong Wang, Kang Yang, Yang Li, Bingya Weng, Min Wang, Haotian Chu, Jing Zhou, Fan Yu, Bei Hua
(+2 others)
2021
arXiv
pre-print
In recent years, deep learning technology has been used to solve partial differential equations (PDEs), among which the physics-informed neural networks (PINNs) emerges to be a promising method for solving ...
We evaluate the proposed method with three representative PDEs, and the experimental results show that our method outperforms existing deep learning-based methods with respect to the accuracy, the efficiency ...
simulation and many other areas [1, 2] , and data-driven deep learning approaches are proposed to alleviate the computational burden. ...
arXiv:2111.01394v1
fatcat:ff43titt5fcf7hzojux4yq3gsa