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- Title
On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation.
- Authors
Husam Hameed, Hameed; Eshkuvatov, Z. K.; Ahmedov, Anvarjon; Nik Long, N. M. A.
- 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.
- Subjects
KANTOROVICH method; NUMERICAL solutions to nonlinear operator equations; NONLINEAR integral equations; VOLTERRA equations; STOCHASTIC convergence; EXISTENCE theorems; UNIQUENESS (Mathematics)
- Publication
Abstract & Applied Analysis, 2015, Vol 2015, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2015/219616