On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2015 Malaysia English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,015, pages 1-12 (issn: 1085-3375, eissn: 1687-0409,

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Authors: Hameed Husam Hameed; Z. K. Eshkuvatov; Anvarjon Ahmedov; N. M. A. Nik Long;

doi: 10.1155/2015/219616

On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation

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Abstract

We develop the Newton-Kantorovich method to solve the system of2×2nonlinear 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.

Country

Malaysia

Related Organizations

middle technical university
Iraq
Universiti Sains Islam Malaysia
Malaysia
Universiti Putra Malaysia
Malaysia

Keywords

Numerical solutions to equations with nonlinear operators, QA1-939, Numerical methods for integral equations, Mathematics

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