On Newton-Kantorovich method for solving the nonlinear operator equation

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 solutio...

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Bibliographic Details
Main Authors: Hameed, Hameed Husam, Eshkuvatov, Zainidin K., Ahmedov, Anvarjon, Nik Long, Nik Mohd Asri
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2015
Online Access:http://psasir.upm.edu.my/id/eprint/34733/1/On%20Newton-Kantorovich%20Method%20for%20Solving%20the%20Nonlinear.pdf