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Approximate solution of nonlinear system of integral equations


Citation

Eshkuvatov, Zainidin K. and Ahmedov, Anvarjon and Nik Long, Nik Mohd Asri and Hazaimeh, Oday Shafiq (2010) Approximate solution of nonlinear system of integral equations. In: Regional Annual Fundamental Science Symposium 2010 (RAFSS 2010), 8-9 June 2010, Grand Season Hotel, Kuala Lumpur. (pp. 595-607).

Abstract

Newton-Kantorovich method is developed to obtain an approximate solution for 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 Newton-Kantorovich method with initial conditions and this procedure is continued by iteration method to find the unknown functions. At the end the existence and uniqueness of the solutions of the system are obtained.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
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
Depositing User: Nabilah Mustapa
Date Deposited: 03 Sep 2018 04:16
Last Modified: 03 Sep 2018 04:16
URI: http://psasir.upm.edu.my/id/eprint/64974
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