On nonlinear integral operator of trigonometric type using modified newton method
Author
Source
Journal of College of Education for Pure Sciences
Issue
Vol. 7, Issue 2 (31 May. 2017), pp.1-21, 21 p.
Publisher
University of Thi-Qar College of Education for Pure Sciences
Publication Date
2017-05-31
Country of Publication
Iraq
No. of Pages
21
Main Subjects
Topics
Abstract EN
The Modified Newton method (MNM) is applied to obtain the approximate solution to the system of nonlinear Volterra type integral equation with the trigonometric kernel function.
Modified Newton method (MNM) is used to linearized the system then solved by the Nystrom type Gauss-Legendre quadrature formula (QF).
A new majorant function is stated which leads to the increment of convergence interval.
The existence and uniqueness of approximate solution are proved.
Sufficient condition for the approximate solution is established and their validity is illustrated with example.
American Psychological Association (APA)
Hamid, Hamid Husam. 2017. On nonlinear integral operator of trigonometric type using modified newton method. Journal of College of Education for Pure Sciences،Vol. 7, no. 2, pp.1-21.
https://search.emarefa.net/detail/BIM-779840
Modern Language Association (MLA)
Hamid, Hamid Husam. On nonlinear integral operator of trigonometric type using modified newton method. Journal of College of Education for Pure Sciences Vol. 7, no. 2 (May. 2017), pp.1-21.
https://search.emarefa.net/detail/BIM-779840
American Medical Association (AMA)
Hamid, Hamid Husam. On nonlinear integral operator of trigonometric type using modified newton method. Journal of College of Education for Pure Sciences. 2017. Vol. 7, no. 2, pp.1-21.
https://search.emarefa.net/detail/BIM-779840
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 20-21
Record ID
BIM-779840
