On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation
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 s...
Saved in:
Main Authors: | Hameed Husam Hameed, Z. K. Eshkuvatov, Anvarjon Ahmedov, N. M. A. Nik Long |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2015-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2015/219616 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Approximation Theorems for Generalized Complex Kantorovich-Type Operators
by: N. I. Mahmudov, et al.
Published: (2012-01-01) -
An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations
by: Fangqin Zhou
Published: (2014-01-01) -
Geometrically Constructed Families of Newton's Method for Unconstrained Optimization and Nonlinear Equations
by: Sanjeev Kumar, et al.
Published: (2011-01-01) -
Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces
by: Costarelli Danilo, et al.
Published: (2024-12-01) -
Solving class of mixed nonlinear multi-term fractional Volterra-Fredholm integro-differential equations by new development of HAM
by: Zainidin Eshkuvatov, et al.
Published: (2025-01-01)