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Solving system of nonlinear integral equations by Newton-Kantorovich method

Newton-Kantorovich method is applied to obtain an approximate solution for a system of nonlinear Volterra integral equations which describes a large class of problems in ecology, economics, medicine and other fields. The system of nonlinear integral equations is reduced to find the roots of nonlinea...

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主要な著者: Hameed, Hameed Husam, Eshkuvatov, Zainidin K., Muminov, Zahriddin, Kilicman, Adem
フォーマット: Conference or Workshop Item
言語:English
出版事項: AIP Publishing LLC 2013
オンライン･アクセス:http://psasir.upm.edu.my/id/eprint/57241/1/Solving%20system%20of%20nonlinear%20integral%20equations%20by%20Newton-Kantorovich%20method.pdf
http://psasir.upm.edu.my/id/eprint/57241/
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spelling my.upm.eprints.572412017-09-26T03:42:40Z http://psasir.upm.edu.my/id/eprint/57241/ Solving system of nonlinear integral equations by Newton-Kantorovich method Hameed, Hameed Husam Eshkuvatov, Zainidin K. Muminov, Zahriddin Kilicman, Adem Newton-Kantorovich method is applied to obtain an approximate solution for a system of nonlinear Volterra integral equations which describes a large class of problems in ecology, economics, medicine and other fields. The system of nonlinear integral equations is reduced to find the roots of nonlinear integral operator. This nonlinear integral operator is solved by the Newton-Kantorovich method with initial guess and this procedure is continued by iteration method to find the unknown functions. Finally, numerical examples are provided to show the validity and the efficiency of the method presented. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57241/1/Solving%20system%20of%20nonlinear%20integral%20equations%20by%20Newton-Kantorovich%20method.pdf Hameed, Hameed Husam and Eshkuvatov, Zainidin K. and Muminov, Zahriddin and Kilicman, Adem (2013) Solving system of nonlinear integral equations by Newton-Kantorovich method. In: 21st National Symposium on Mathematical Sciences (SKSM21), 6-8 Nov. 2013, Penang, Malaysia. (pp. 518-523). 10.1063/1.4887642
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 Newton-Kantorovich method is applied to obtain an approximate solution for a system of nonlinear Volterra integral equations which describes a large class of problems in ecology, economics, medicine and other fields. The system of nonlinear integral equations is reduced to find the roots of nonlinear integral operator. This nonlinear integral operator is solved by the Newton-Kantorovich method with initial guess and this procedure is continued by iteration method to find the unknown functions. Finally, numerical examples are provided to show the validity and the efficiency of the method presented.
format Conference or Workshop Item
author Hameed, Hameed Husam
Eshkuvatov, Zainidin K.
Muminov, Zahriddin
Kilicman, Adem
spellingShingle Hameed, Hameed Husam
Eshkuvatov, Zainidin K.
Muminov, Zahriddin
Kilicman, Adem
Solving system of nonlinear integral equations by Newton-Kantorovich method
author_facet Hameed, Hameed Husam
Eshkuvatov, Zainidin K.
Muminov, Zahriddin
Kilicman, Adem
author_sort Hameed, Hameed Husam
title Solving system of nonlinear integral equations by Newton-Kantorovich method
title_short Solving system of nonlinear integral equations by Newton-Kantorovich method
title_full Solving system of nonlinear integral equations by Newton-Kantorovich method
title_fullStr Solving system of nonlinear integral equations by Newton-Kantorovich method
title_full_unstemmed Solving system of nonlinear integral equations by Newton-Kantorovich method
title_sort solving system of nonlinear integral equations by newton-kantorovich method
publisher AIP Publishing LLC
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/57241/1/Solving%20system%20of%20nonlinear%20integral%20equations%20by%20Newton-Kantorovich%20method.pdf
http://psasir.upm.edu.my/id/eprint/57241/
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score 13.251813

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