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Approximate solution of a nonlinear system of integral equations using modified Newton-Kantorovich method

Modified Newton-Kantorovich method is developed to obtain an approximate solution for a system of nonlinear integral equations. The system of nonlinear integral equations is reduced to find the roots of nonlinear integral operator. This nonlinear integral operator is solved by the modified Newton-Ka...

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Main Authors: Eshkuratov, Zainidin K., Ahmedov, Anvarjon, Nik Long, Nik Mohd Asri, Shafiq, Osama
Format: Article
Language:English
Published: Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia 2010
Online Access:http://psasir.upm.edu.my/id/eprint/13253/1/Approximate%20solution%20of%20a%20nonlinear%20system%20of%20integral%20equations%20using%20modified%20Newton.pdf
http://psasir.upm.edu.my/id/eprint/13253/
http://mjfas.ibnusina.utm.my/index.php/jfs/article/view/192
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spelling my.upm.eprints.132532015-09-10T03:59:12Z http://psasir.upm.edu.my/id/eprint/13253/ Approximate solution of a nonlinear system of integral equations using modified Newton-Kantorovich method Eshkuratov, Zainidin K. Ahmedov, Anvarjon Nik Long, Nik Mohd Asri Shafiq, Osama Modified Newton-Kantorovich method is developed to obtain an approximate solution for a system of nonlinear integral equations. The system of nonlinear integral equations is reduced to find the roots of nonlinear integral operator. This nonlinear integral operator is solved by the modified Newton-Kantorovich method with initial conditions and this procedure is continued by iteration method to find the unknown functions. The existence and uniqueness of the solutions of the system are also proven. Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/13253/1/Approximate%20solution%20of%20a%20nonlinear%20system%20of%20integral%20equations%20using%20modified%20Newton.pdf Eshkuratov, Zainidin K. and Ahmedov, Anvarjon and Nik Long, Nik Mohd Asri and Shafiq, Osama (2010) Approximate solution of a nonlinear system of integral equations using modified Newton-Kantorovich method. Journal of Fundamental Sciences, 6 (2). pp. 154-159. ISSN 1823-626X http://mjfas.ibnusina.utm.my/index.php/jfs/article/view/192
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description Modified Newton-Kantorovich method is developed to obtain an approximate solution for a system of nonlinear integral equations. The system of nonlinear integral equations is reduced to find the roots of nonlinear integral operator. This nonlinear integral operator is solved by the modified Newton-Kantorovich method with initial conditions and this procedure is continued by iteration method to find the unknown functions. The existence and uniqueness of the solutions of the system are also proven.
format Article
author Eshkuratov, Zainidin K.
Ahmedov, Anvarjon
Nik Long, Nik Mohd Asri
Shafiq, Osama
spellingShingle Eshkuratov, Zainidin K.
Ahmedov, Anvarjon
Nik Long, Nik Mohd Asri
Shafiq, Osama
Approximate solution of a nonlinear system of integral equations using modified Newton-Kantorovich method
author_facet Eshkuratov, Zainidin K.
Ahmedov, Anvarjon
Nik Long, Nik Mohd Asri
Shafiq, Osama
author_sort Eshkuratov, Zainidin K.
title Approximate solution of a nonlinear system of integral equations using modified Newton-Kantorovich method
title_short Approximate solution of a nonlinear system of integral equations using modified Newton-Kantorovich method
title_full Approximate solution of a nonlinear system of integral equations using modified Newton-Kantorovich method
title_fullStr Approximate solution of a nonlinear system of integral equations using modified Newton-Kantorovich method
title_full_unstemmed Approximate solution of a nonlinear system of integral equations using modified Newton-Kantorovich method
title_sort approximate solution of a nonlinear system of integral equations using modified newton-kantorovich method
publisher Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia
publishDate 2010
url http://psasir.upm.edu.my/id/eprint/13253/1/Approximate%20solution%20of%20a%20nonlinear%20system%20of%20integral%20equations%20using%20modified%20Newton.pdf
http://psasir.upm.edu.my/id/eprint/13253/
http://mjfas.ibnusina.utm.my/index.php/jfs/article/view/192
_version_ 1643825275084996608
score 13.244414

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