Citation
Hameed, Hameed Husam and Eshkuvatov, Zainidin K. and Nik Long, Nik Mohd Asri
(2017)
On the solution of multi-dimensional nonlinear integral equation with modified newton method.
Journal of Computational and Theoretical Nanoscience, 14 (11).
5298 - 5303.
ISSN 1546-1955; ESSN: 1546-1963
Abstract
In this note, multi-dimensional nonlinear integral equations (multi-dimensional NIEs) in R n is considered. Implementing modified Newton method (Modified NM) reduces multi-dimensional NIEs into multi-dimensional linear integral equations (multi-dimensional LIEs), which can be solved by discritization method. Quadrature method together with collocation are used to find values of unknown functions. Existence and uniqueness solution of the problems are shown. The rate of convergence of the proposed method is proved using the principle of majorant function. Finally, numerical examples are provided and it reveals that proposed method is both accurate and effective as well as comparisons with other methods are also presented.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.1166/jctn.2017.6938 |
| Publisher: | American Scientific Publishers |
| Keywords: | Nonlinear multi-dimensional integral equations; Quadrature formula; The majorant function; The modified newton method |
| Depositing User: | Ms. Nuraida Ibrahim |
| Date Deposited: | 03 Dec 2020 20:51 |
| Last Modified: | 03 Dec 2020 20:51 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1166/jctn.2017.6938 |
| URI: | http://psasir.upm.edu.my/id/eprint/62585 |
| Statistic Details: | View Download Statistic |
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