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...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57241/ http://psasir.upm.edu.my/id/eprint/57241/1/Solving%20system%20of%20nonlinear%20integral%20equations%20by%20Newton-Kantorovich%20method.pdf |
| _version_ | 1848853310411374592 |
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| author | Hameed, Hameed Husam Eshkuvatov, Zainidin K. Muminov, Zahriddin Kilicman, Adem |
| author_facet | Hameed, Hameed Husam Eshkuvatov, Zainidin K. Muminov, Zahriddin Kilicman, Adem |
| author_sort | Hameed, Hameed Husam |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T10:51:56Z |
| format | Conference or Workshop Item |
| id | upm-57241 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:56Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Hameed, Hameed Husam Eshkuvatov, Zainidin K. Muminov, Zahriddin Kilicman, Adem Solving system of nonlinear integral equations by Newton-Kantorovich method |
| title | 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_short | Solving system of nonlinear integral equations by Newton-Kantorovich method |
| title_sort | solving system of nonlinear integral equations by newton-kantorovich method |
| url | http://psasir.upm.edu.my/id/eprint/57241/ http://psasir.upm.edu.my/id/eprint/57241/ http://psasir.upm.edu.my/id/eprint/57241/1/Solving%20system%20of%20nonlinear%20integral%20equations%20by%20Newton-Kantorovich%20method.pdf |