Citation
Hameed, Hameed Husam and Eshkuvatov, Zainidin K. and Nik Long, Nik Mohd Asri
(2016)
An approximate solution of two dimensional nonlinear Volterra integral equation using Newton-Kantorovich method.
Malaysian Journal of Science, 35 (1).
pp. 37-43.
ISSN 0126-7906
Abstract
This paper studies the method for establishing an approximate solution of nonlinear two dimensional Volterra integral equations (NLTD-VIE). The Newton-Kantorovich (NK) suppositions are employed to modify NLTD-VIE to the sequence of linear two dimensional Volterra integral equation (LTD-VIE). The proper-ties of the two dimensional Gauss-Legenre (GL) quadrature fromula are used to abridge the sequence of LTD-VIE to the solution of the linear algebraic system. The existence and uniqueness of the approximate solution is demonstrated, and an illustrative example is provided to show the precision and authenticity of the method.
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Official URL or Download Paper: http://e-journal.um.edu.my/publish/MJS/1005-1203
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Faculty of Science, University of Malaya |
| Keywords: | Newton-Kantorovich method; Nonlinear operator; Two dimensional Volterra integral equation; Two dimensional Gauss-Legendre formula |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 03 May 2017 09:21 |
| Last Modified: | 03 May 2017 09:21 |
| URI: | http://psasir.upm.edu.my/id/eprint/51931 |
| Statistic Details: | View Download Statistic |
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