Title : ( Solving nonlinear integral equations in the Urysohn form by Newton - Kantorovich quadrature method )
Authors: Jafar Saberi- Nadjafi , Mahdi Heidari ,
Full TextAbstract
The Newton Kantorovich method is a well-known method for solving nonlinear integral equations. This method attempts to solve a sequence of linear integral equations. In this article, we develop a new method, which is a combination of the NewtonKantorovich and quadrature methods. The new method solves the nonlinear integral equations of the Urysohn form in a systematic procedure. Some numerical examples are provided, and the obtained numerical approximations are compared with the corresponding exact solutions.
Keywords
, Nonlinear integral equation; Newton , Kantorovich method; Quadrature; Urysohn integral equation
@article{paperid:1017024,
author = {Saberi- Nadjafi, Jafar and Heidari, Mahdi},
title = {Solving nonlinear integral equations in the Urysohn form by Newton - Kantorovich quadrature method},
journal = {Computers and Mathematics with Applications},
year = {2010},
volume = {60},
number = {7},
month = {August},
issn = {0898-1221},
pages = {2058--2065},
numpages = {7},
keywords = {Nonlinear integral equation; Newton -Kantorovich method; Quadrature; Urysohn integral equation},
}
%0 Journal Article
%T Solving nonlinear integral equations in the Urysohn form by Newton - Kantorovich quadrature method
%A Saberi- Nadjafi, Jafar
%A Heidari, Mahdi
%J Computers and Mathematics with Applications
%@ 0898-1221
%D 2010
