Artificial Neural Network Methods for the Solution of Second Order Boundary Value Problems

We present a method for solving partial differential equations using artificial neural networks and an adaptive collocation strategy. In this procedure, a coarse grid of training points is used at the initial training stages, while more points are added at later stages based on the value of the resi...

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Bibliographic Details

Published in:	Computers, materials & continua Vol. 59; no. 1; pp. 345 - 359
Main Authors:	Anitescu, Cosmin, Atroshchenko, Elena, Alajlan, Naif, Rabczuk, Timon
Format:	Journal Article
Language:	English
Published:	Henderson Tech Science Press 2019
Subjects:	Acoustics Artificial neural networks Boundary value problems Helmholtz equations Mathematical analysis Neural networks Partial differential equations Robustness (mathematics) Training
ISSN:	1546-2226, 1546-2218, 1546-2226
Online Access:	Get full text
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