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Approximate solution of a nonlinear system of integral equations using modified Newton-Kantorovich method


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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