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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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 |
work_keys_str_mv | AT abdujabarrasulov anewalgorithmforsystemofintegralequations AT ademkilicman anewalgorithmforsystemofintegralequations AT zainidineshkuvatov anewalgorithmforsystemofintegralequations AT gulnoraraimova anewalgorithmforsystemofintegralequations AT abdujabarrasulov newalgorithmforsystemofintegralequations AT ademkilicman newalgorithmforsystemofintegralequations AT zainidineshkuvatov newalgorithmforsystemofintegralequations AT gulnoraraimova newalgorithmforsystemofintegralequations |