Husam Hameed H.Eshkuvatov Z.K.Ahmedov A.Nik Long N.M.A.2024-05-282024-05-2820151085337510.1155/2015/2196162-s2.0-84928812356https://www.scopus.com/inward/record.uri?eid=2-s2.0-84928812356&doi=10.1155%2f2015%2f219616&partnerID=40&md5=5fd09bdf9d84f2b9553e58af59353588https://oarep.usim.edu.my/handle/123456789/9030We develop the Newton-Kantorovich method to solve the system of 2 × 2 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 solution are proved and a numerical example is provided to show the validation of the method.en-USOn Newton-kantorovich method for solving the nonlinear operator equationAbstr. Appl. Anal.Article2015219616