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