On Newton-Kantorovich method for solving the nonlinear operator equation

• 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; http://psasir.upm.edu.my/id/eprint/34733/; http://www.hindawi.com/journals/aaa/2015/219616/abs/
• Institution: Universiti Putra Malaysia

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...