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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Bibliographic Details
Main Authors: Fanghua Pei, Fujun Cao, Yongbin Ge
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/14/1/75
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