Citation
Eshkuratov, Zainidin K. and Ahmedov, Anvarjon and Nik Long, Nik Mohd Asri and Shafiq, Osama
(2010)
Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method.
Applied Mathematics and Computation, 217 (7).
pp. 3717-3725.
ISSN 0096-3003
Abstract
The Newton–Kantorovich method is developed for solving the system of nonlinear integral equations. The existence and uniqueness of the solution are proved, and the rate of convergence of the approximate solution is established. Finally, numerical examples are provided to show the validity and the efficiency of the method presented.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Engineering Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1016/j.amc.2010.09.068 |
| Publisher: | Elsevier |
| Keywords: | Newton–Kantorovich method; Rate of convergence; Nonlinear operator; Volterra integral equation; Trapezoidal formula |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 06 May 2015 13:08 |
| Last Modified: | 10 Sep 2015 04:02 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.amc.2010.09.068 |
| URI: | http://psasir.upm.edu.my/id/eprint/13255 |
| Statistic Details: | View Download Statistic |
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