Markov chain Monte Carlo method to solve Fredholm integral equations
A thermal problem can be always modeled using an integral equation. This paper uses the Monte Carlo method based on the simulation of a continuous Markov chain to solve Fredholm integral equations of the second kind. Some examples are given to show the efficiency of the present work.
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VINCA Institute of Nuclear Sciences
2018-01-01
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Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2018/0354-98361804673T.pdf |
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doaj-45500173794b4eaeb00915f5450852582021-01-02T09:01:26ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632018-01-012241673167810.2298/TSCI1804673T0354-98361804673TMarkov chain Monte Carlo method to solve Fredholm integral equationsTian Yi0Inner Mongolia University of Technology, College of Sciences, Hohhot, ChinaA thermal problem can be always modeled using an integral equation. This paper uses the Monte Carlo method based on the simulation of a continuous Markov chain to solve Fredholm integral equations of the second kind. Some examples are given to show the efficiency of the present work.http://www.doiserbia.nb.rs/img/doi/0354-9836/2018/0354-98361804673T.pdfMonte Carlo methodFredholm integral equationMarkov chain |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Tian Yi |
spellingShingle |
Tian Yi Markov chain Monte Carlo method to solve Fredholm integral equations Thermal Science Monte Carlo method Fredholm integral equation Markov chain |
author_facet |
Tian Yi |
author_sort |
Tian Yi |
title |
Markov chain Monte Carlo method to solve Fredholm integral equations |
title_short |
Markov chain Monte Carlo method to solve Fredholm integral equations |
title_full |
Markov chain Monte Carlo method to solve Fredholm integral equations |
title_fullStr |
Markov chain Monte Carlo method to solve Fredholm integral equations |
title_full_unstemmed |
Markov chain Monte Carlo method to solve Fredholm integral equations |
title_sort |
markov chain monte carlo method to solve fredholm integral equations |
publisher |
VINCA Institute of Nuclear Sciences |
series |
Thermal Science |
issn |
0354-9836 2334-7163 |
publishDate |
2018-01-01 |
description |
A thermal problem can be always modeled using an integral equation. This
paper uses the Monte Carlo method based on the simulation of a continuous
Markov chain to solve Fredholm integral equations of the second kind. Some
examples are given to show the efficiency of the present work. |
topic |
Monte Carlo method Fredholm integral equation Markov chain |
url |
http://www.doiserbia.nb.rs/img/doi/0354-9836/2018/0354-98361804673T.pdf |
work_keys_str_mv |
AT tianyi markovchainmontecarlomethodtosolvefredholmintegralequations |
_version_ |
1724356329723658240 |