On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation
Joint Authors
Asri Nik Long, Nik Mohd
Eshkuvatov, Z. K.
Husam Hameed, Hameed
Ahmedov, Anvarjon
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-14
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Husam Hameed, Hameed& Eshkuvatov, Z. K.& Ahmedov, Anvarjon& Asri Nik Long, Nik Mohd. 2015. On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052000
Modern Language Association (MLA)
Husam Hameed, Hameed…[et al.]. On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation. Abstract and Applied Analysis No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1052000
American Medical Association (AMA)
Husam Hameed, Hameed& Eshkuvatov, Z. K.& Ahmedov, Anvarjon& Asri Nik Long, Nik Mohd. On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052000
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052000
