Application of Nyström method to a Fredholm integral equation describing induction heating

An induction heating problem can be described by a Fredholm Integral Equation of the second kind. The equation is used to compute the eddy current of density. One method for solving such an equation is the Nyström method. It is based on the approximation of the integral in an equation by the numeric...

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Main Author:	Rak Josef
Format:	Article
Language:	English
Published:	EDP Sciences 2015-01-01
Series:	EPJ Web of Conferences
Subjects:	integral equation of the second kind induction heating collocation method Nyström method
Online Access:	http://dx.doi.org/10.1051/epjconf/20159202075

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spelling	doaj-d73f0bf14960478c811d31d00454c6e32021-08-02T08:03:40ZengEDP SciencesEPJ Web of Conferences2100-014X2015-01-01920207510.1051/epjconf/20159202075epjconf_efm2014_02075Application of Nyström method to a Fredholm integral equation describing induction heatingRak Josef0University of Pardubice, Faculty of Electrical Engineering and InformaticsAn induction heating problem can be described by a Fredholm Integral Equation of the second kind. The equation is used to compute the eddy current of density. One method for solving such an equation is the Nyström method. It is based on the approximation of the integral in an equation by the numerical integration rule. This paper shows application of the Nyström method to an induction heating problem. Results of the Nyström method are compared with an alternative method.http://dx.doi.org/10.1051/epjconf/20159202075integral equation of the second kindinduction heatingcollocation methodNyström method
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Rak Josef
spellingShingle	Rak Josef Application of Nyström method to a Fredholm integral equation describing induction heating EPJ Web of Conferences integral equation of the second kind induction heating collocation method Nyström method
author_facet	Rak Josef
author_sort	Rak Josef
title	Application of Nyström method to a Fredholm integral equation describing induction heating
title_short	Application of Nyström method to a Fredholm integral equation describing induction heating
title_full	Application of Nyström method to a Fredholm integral equation describing induction heating
title_fullStr	Application of Nyström method to a Fredholm integral equation describing induction heating
title_full_unstemmed	Application of Nyström method to a Fredholm integral equation describing induction heating
title_sort	application of nyström method to a fredholm integral equation describing induction heating
publisher	EDP Sciences
series	EPJ Web of Conferences
issn	2100-014X
publishDate	2015-01-01
description	An induction heating problem can be described by a Fredholm Integral Equation of the second kind. The equation is used to compute the eddy current of density. One method for solving such an equation is the Nyström method. It is based on the approximation of the integral in an equation by the numerical integration rule. This paper shows application of the Nyström method to an induction heating problem. Results of the Nyström method are compared with an alternative method.
topic	integral equation of the second kind induction heating collocation method Nyström method
url	http://dx.doi.org/10.1051/epjconf/20159202075
work_keys_str_mv	AT rakjosef applicationofnystrommethodtoafredholmintegralequationdescribinginductionheating
_version_	1721238862377779200

Application of Nyström method to a Fredholm integral equation describing induction heating

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