A physics-informed neural network based on mixed data sampling for solving modified diffusion equations

Abstract We developed a physics-informed neural network based on a mixture of Cartesian grid sampling and Latin hypercube sampling to solve forward and backward modified diffusion equations. We optimized the parameters in the neural networks and the mixed data sampling by considering the squeeze bou...

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Bibliographic Details
Main Authors: Qian Fang, Xuankang Mou, Shiben Li
Format: Article
Language:English
Published: Nature Portfolio 2023-02-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-29822-3