A novel numerical method for heat equation

A novel numerical method for heat equation

A neural network computation is proposed to solve a heat equation, and an example is given to elucidate its simulation efficiency. The algorithm developed in this paper can be used as a paradigm for many other numerical applications.

Bibliographic Details
Main Authors: He Yun, Li Haibin
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2016-01-01
Series:Thermal Science
Subjects:
neural network computation
multiple neural networks
training
heat equation
rational neural network
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-98361603018H.pdf
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spelling doaj-952b0d30cfe84324b904ef0f9b9ba3852021-01-02T12:21:28ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632016-01-012031018102110.2298/TSCI1603018H0354-98361603018HA novel numerical method for heat equationHe Yun0Li Haibin1Inner Mongolia University of Technology, College of Science, Hohhot, ChinaInner Mongolia University of Technology, College of Science, Hohhot, ChinaA neural network computation is proposed to solve a heat equation, and an example is given to elucidate its simulation efficiency. The algorithm developed in this paper can be used as a paradigm for many other numerical applications.http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-98361603018H.pdfneural network computationmultiple neural networkstrainingheat equationrational neural network
collection DOAJ
language English
format Article
sources DOAJ
author He Yun
Li Haibin
spellingShingle He Yun
Li Haibin
A novel numerical method for heat equation
Thermal Science
neural network computation
multiple neural networks
training
heat equation
rational neural network
author_facet He Yun
Li Haibin
author_sort He Yun
title A novel numerical method for heat equation
title_short A novel numerical method for heat equation
title_full A novel numerical method for heat equation
title_fullStr A novel numerical method for heat equation
title_full_unstemmed A novel numerical method for heat equation
title_sort novel numerical method for heat equation
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2016-01-01
description A neural network computation is proposed to solve a heat equation, and an example is given to elucidate its simulation efficiency. The algorithm developed in this paper can be used as a paradigm for many other numerical applications.
topic neural network computation
multiple neural networks
training
heat equation
rational neural network
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-98361603018H.pdf
work_keys_str_mv AT heyun anovelnumericalmethodforheatequation
AT lihaibin anovelnumericalmethodforheatequation
AT heyun novelnumericalmethodforheatequation
AT lihaibin novelnumericalmethodforheatequation
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