Applying neural networks to the solution of forward and inverse heat conduction problems
type: Item
instance of: scholarly article
title: Applying neural networks to the solution of forward and inverse heat conduction problems
zbMATH Open document ID: 1110.80002
author: N. E. Zubov
published in: International Journal of Heat and Mass Transfer
publication date: 2007-02-20T00:00:00Z
review text: Approximating the space derivative, one and two dimension heat conduction models are reduced to Hopfield differential equations. Numerical solutions to the forward heat conduction problems are then obtained using the continuous Hopfield neural network approach. The obtained results are used as training data for a three layered MLP trained with different types of back propagation algorithms. Further, as well known, this network will be able to make predictions and it will be designed to solve inverse heat conduction problems. Different numerical simulations are shown.
reviewed by: Claudia Simionescu-Badea
Mathematics Subject Classification ID: 80A23
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 5128399
zbMATH Keywords: neural network
zbMATH Keywords: inverse heat conduction problems
zbMATH Keywords: back propagation
zbMATH Keywords: Hopfield network
MaRDI profile type: Publication
full work available at URL: j.ijheatmasstransfer.2006.06.009
OpenAlex ID: W1974310882
DOI: 10.1016/J.IJHEATMASSTRANSFER.2006.06.009
Recommended article: Q3607093
Recommended article: Solution of an inverse coefficient heat conduction problem by means of neural networks
Recommended article: Q4984646
Recommended article: Estimation of Boundary Conditions in Conduction Heat Transfer by Neural Networks
Recommended article: Data-driven inverse modelling through neural network (deep learning) and computational heat transfer
Recommended article: Evaluating convective heat transfer coefficients using neural networks
Recommended article: Evaluating time-dependent heat fluxes using artificial neural networks
Recommended article: Solving inverse heat conduction problems using trained POD-RBF network inverse method
Recommended article: Non-iterative estimation of heat transfer coefficients using artificial neural network models
description: scientific article; zbMATH DE number 5128399