A Novel Neural Network-Based Approach Comparable to High-Precision Finite Difference Methods
Deep learning methods using neural networks for solving partial differential equations (PDEs) have emerged as a new paradigm. However, many of these methods approximate solutions by optimizing loss functions, often encountering convergence issues and accuracy limitations. In this paper, we propose a...
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Main Authors: | Fanghua Pei, Fujun Cao, Yongbin Ge |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2025-01-01
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Series: | Axioms |
Subjects: | |
Online Access: | https://www.mdpi.com/2075-1680/14/1/75 |
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