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.

Bibliographic Details
Main Author:	Tian Yi
Format:	Article
Language:	English
Published:	VINCA Institute of Nuclear Sciences 2018-01-01
Series:	Thermal Science
Subjects:	Monte Carlo method Fredholm integral equation Markov chain
Online Access:	http://www.doiserbia.nb.rs/img/doi/0354-9836/2018/0354-98361804673T.pdf

id	doaj-45500173794b4eaeb00915f545085258
record_format	Article
spelling	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

Markov chain Monte Carlo method to solve Fredholm integral equations

Similar Items