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...
| Main Authors: | , , , |
|---|---|
| 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/ http://psasir.upm.edu.my/id/eprint/13253/1/Approximate%20solution%20of%20a%20nonlinear%20system%20of%20integral%20equations%20using%20modified%20Newton.pdf |
| _version_ | 1848842062333476864 |
|---|---|
| author | Eshkuratov, Zainidin K. Ahmedov, Anvarjon Nik Long, Nik Mohd Asri Shafiq, Osama |
| author_facet | Eshkuratov, Zainidin K. Ahmedov, Anvarjon Nik Long, Nik Mohd Asri Shafiq, Osama |
| author_sort | Eshkuratov, Zainidin K. |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T07:53:09Z |
| format | Article |
| id | upm-13253 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:53:09Z |
| publishDate | 2010 |
| publisher | Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/13253/ http://psasir.upm.edu.my/id/eprint/13253/ http://psasir.upm.edu.my/id/eprint/13253/1/Approximate%20solution%20of%20a%20nonlinear%20system%20of%20integral%20equations%20using%20modified%20Newton.pdf |