Hameed Husam Hameed, Z. K. Eshkuvatov, Anvarjon Ahmedov, N.M.A.NikLong
Abstract
We 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.
Publication Date
4/14/2015
Publisher
Abstract and Applied Analysis ,Hindawi Publishing Corporation