Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Engineering Faculty of Science Institute for Mathematical Research |
| Publisher: | Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia |
| Keywords: | Newton-Kantorovich method; Nonlinear operator; Volterra integral equation; Trapezoidal rule; Convergence |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 07 May 2015 03:35 |
| Last Modified: | 10 Sep 2015 03:59 |
| URI: | http://psasir.upm.edu.my/id/eprint/13253 |
| Statistic Details: | View Download Statistic |
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