Title : ( A stopping rule for an iterative algorithm in systems of integral equations )
Authors: Mortaza Gachpazan , omid baghani ,
Abstract
In this paper, an important inequality for T , a contraction integral operator, is obtained. From a practical programming point of view, this inequality allows us to express our iterative algorithm with a “for loop” rather than a “while loop”. The main tool used in our research is the fixed point theorem in the Banach space of continuous functions,X := C([a, b],Rk ).
Keywords
, Integral operator, Successive approximation method , Approximation error@article{paperid:1041906,
author = {Gachpazan, Mortaza and Baghani, Omid},
title = {A stopping rule for an iterative algorithm in systems of integral equations},
journal = {Computational and Applied Mathematics},
year = {2014},
volume = {33},
number = {2},
month = {June},
issn = {0101-8205},
pages = {325--332},
numpages = {7},
keywords = {Integral operator، Successive approximation method ، Approximation error},
}
%0 Journal Article
%T A stopping rule for an iterative algorithm in systems of integral equations
%A Gachpazan, Mortaza
%A Baghani, Omid
%J Computational and Applied Mathematics
%@ 0101-8205
%D 2014