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Solving Fredholm Integral Equations Using Deep Learning

The aim of this paper is to provide a deep learning based method that can solve high-dimensional Fredholm integral equations. A deep residual neural network is constructed at a fixed number of collocation points selected randomly in the integration domain. The loss function of the deep residual neur...

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Detalles Bibliográficos
Autores principales: Guan, Yu, Fang, Tingting, Zhang, Diankun, Jin, Congming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer India 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8960669/
https://www.ncbi.nlm.nih.gov/pubmed/35372640
http://dx.doi.org/10.1007/s40819-022-01288-3