A New Algorithm for System of Integral Equations

We develop a new algorithm to solve the system of integral equations. In this new method no need to use matrix weights. Beacause of it, we reduce computational complexity considerable. Using the new algorithm it is also possible to solve an initial boundary value problem for system of parabolic equa...

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Main Authors: Abdujabar Rasulov, Adem Kilicman, Zainidin Eshkuvatov, Gulnora Raimova
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/236065
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author Abdujabar Rasulov
Adem Kilicman
Zainidin Eshkuvatov
Gulnora Raimova
author_facet Abdujabar Rasulov
Adem Kilicman
Zainidin Eshkuvatov
Gulnora Raimova
author_sort Abdujabar Rasulov
collection DOAJ
description We develop a new algorithm to solve the system of integral equations. In this new method no need to use matrix weights. Beacause of it, we reduce computational complexity considerable. Using the new algorithm it is also possible to solve an initial boundary value problem for system of parabolic equations. To verify the efficiency, the results of computational experiments are given.
format Article
id doaj-art-25eb8090df364f51b0cefc431b0fdb90
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-25eb8090df364f51b0cefc431b0fdb902025-02-03T06:48:06ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/236065236065A New Algorithm for System of Integral EquationsAbdujabar Rasulov0Adem Kilicman1Zainidin Eshkuvatov2Gulnora Raimova3Department of Mathematical Modeling and Informatics, University of World Economy and Diplomacy, 100077 Tashkent, UzbekistanDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaDepartment of Mathematical Modeling and Informatics, University of World Economy and Diplomacy, 100077 Tashkent, UzbekistanWe develop a new algorithm to solve the system of integral equations. In this new method no need to use matrix weights. Beacause of it, we reduce computational complexity considerable. Using the new algorithm it is also possible to solve an initial boundary value problem for system of parabolic equations. To verify the efficiency, the results of computational experiments are given.http://dx.doi.org/10.1155/2014/236065
spellingShingle Abdujabar Rasulov
Adem Kilicman
Zainidin Eshkuvatov
Gulnora Raimova
A New Algorithm for System of Integral Equations
Abstract and Applied Analysis
title A New Algorithm for System of Integral Equations
title_full A New Algorithm for System of Integral Equations
title_fullStr A New Algorithm for System of Integral Equations
title_full_unstemmed A New Algorithm for System of Integral Equations
title_short A New Algorithm for System of Integral Equations
title_sort new algorithm for system of integral equations
url http://dx.doi.org/10.1155/2014/236065
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