Romberg Algorithm to Solve a System of Nonlinear Fredholm Integral Equations of Second Kind

In this paper, we use Romberg algorithm, to find an approximation solution for a system of nonlinear Fredholm integral equations of the second kind. A comparison between this approximations and exact solutions for four numerical examples are given, depending on the least-square error and running com...

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Main Authors:	Abbas Al-Bayati, Rostam Saeed, Kawa Aziz
Format:	Article
Language:	Arabic
Published:	Mosul University 2012-12-01
Series:	Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:	system of nonlinear integral equations romberg algorithm
Online Access:	https://csmj.mosuljournals.com/article_163699_615bc5b7532137fc4a593da988b58e9c.pdf

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spelling	doaj-5860c97c27f940dd864c7586dcf825772020-11-25T04:00:20ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics 1815-48162311-79902012-12-0192415210.33899/csmj.2012.163699163699Romberg Algorithm to Solve a System of Nonlinear Fredholm Integral Equations of Second KindAbbas Al-Bayati0Rostam Saeed1Kawa Aziz2College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqCollege of Sciences University of SalahaddinCollege of Sciences University of SalahaddinIn this paper, we use Romberg algorithm, to find an approximation solution for a system of nonlinear Fredholm integral equations of the second kind. A comparison between this approximations and exact solutions for four numerical examples are given, depending on the least-square error and running computer time. Our numerical results are obtained by MATLAB 7.0 program and for a system of rank 2×2, 3×3 on Personal Computer P4.https://csmj.mosuljournals.com/article_163699_615bc5b7532137fc4a593da988b58e9c.pdfsystem of nonlinear integral equationsromberg algorithm
collection	DOAJ
language	Arabic
format	Article
sources	DOAJ
author	Abbas Al-Bayati Rostam Saeed Kawa Aziz
spellingShingle	Abbas Al-Bayati Rostam Saeed Kawa Aziz Romberg Algorithm to Solve a System of Nonlinear Fredholm Integral Equations of Second Kind Al-Rafidain Journal of Computer Sciences and Mathematics system of nonlinear integral equations romberg algorithm
author_facet	Abbas Al-Bayati Rostam Saeed Kawa Aziz
author_sort	Abbas Al-Bayati
title	Romberg Algorithm to Solve a System of Nonlinear Fredholm Integral Equations of Second Kind
title_short	Romberg Algorithm to Solve a System of Nonlinear Fredholm Integral Equations of Second Kind
title_full	Romberg Algorithm to Solve a System of Nonlinear Fredholm Integral Equations of Second Kind
title_fullStr	Romberg Algorithm to Solve a System of Nonlinear Fredholm Integral Equations of Second Kind
title_full_unstemmed	Romberg Algorithm to Solve a System of Nonlinear Fredholm Integral Equations of Second Kind
title_sort	romberg algorithm to solve a system of nonlinear fredholm integral equations of second kind
publisher	Mosul University
series	Al-Rafidain Journal of Computer Sciences and Mathematics
issn	1815-4816 2311-7990
publishDate	2012-12-01
description	In this paper, we use Romberg algorithm, to find an approximation solution for a system of nonlinear Fredholm integral equations of the second kind. A comparison between this approximations and exact solutions for four numerical examples are given, depending on the least-square error and running computer time. Our numerical results are obtained by MATLAB 7.0 program and for a system of rank 2×2, 3×3 on Personal Computer P4.
topic	system of nonlinear integral equations romberg algorithm
url	https://csmj.mosuljournals.com/article_163699_615bc5b7532137fc4a593da988b58e9c.pdf
work_keys_str_mv	AT abbasalbayati rombergalgorithmtosolveasystemofnonlinearfredholmintegralequationsofsecondkind AT rostamsaeed rombergalgorithmtosolveasystemofnonlinearfredholmintegralequationsofsecondkind AT kawaaziz rombergalgorithmtosolveasystemofnonlinearfredholmintegralequationsofsecondkind
_version_	1724451249499144192

Romberg Algorithm to Solve a System of Nonlinear Fredholm Integral Equations of Second Kind

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