Citation
Hameed, Hameed Husam and Eshkuvatov, Zainidin K. and Ahmedov, Anvarjon and Nik Long, Nik Mohd Asri
(2015)
On Newton-Kantorovich method for solving the nonlinear operator equation.
Abstract and Applied Analysis, 2015.
art. no. 219616.
pp. 1-12.
ISSN 1085-3375; ESSN: 1687-0409
Abstract
We develop the Newton-Kantorovich method to solve the system of nonlinear Volterra integral equations where the unknown function is in logarithmic form. A new majorant function is introduced which leads to the increment of the convergence interval. The existence and uniqueness of approximate solution are proved and a numerical example is provided to show the validation of the method.
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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/10.1155/2015/219616 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Newton-Kantorovich method; Nonlinear operator equation |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 21 Dec 2015 12:56 |
| Last Modified: | 21 Dec 2015 12:56 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2015/219616 |
| URI: | http://psasir.upm.edu.my/id/eprint/34733 |
| Statistic Details: | View Download Statistic |
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