عنوان المقالة: On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation
د.حميد حسام حميد | Hameed Husam Hameed | 5664
Publication Type
Journal
Arabic Authors
حميد حسام حميد
English Authors
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
Volume No
2015
ISSN/ISBN
1085-3375
DOI
https://doi.org/10.1155/2015/219616
File Link
تحميل (142 مرات التحميل)
External Link
https://www.hindawi.com/journals/aaa/2015/219616/
Keywords
Newton-Kantorovich Method,NonlinearOperator Equation
رجوع