Title : ( A new modified quadrature method for solving linear weakly singular integral equations )
Authors: Jafar Saberi- Nadjafi , Mahdi Heidari ,
Full TextAbstract
One kind of linear integral equation is the weakly singular integral equation; this kind of integral equation is unsolvable by using usual quadrature methods, such as the repeated trapezoid and repeated Simpson quadrature methods. In this article, we intend to present a subtraction method, which is the same asthe modified quadrature methods; one can solve linear weakly singular integral equations of the second kind through these methods. Some numerical examples illustrate the theoretical results. The numerical experiments show the efficiency of our method.
Keywords
, linear integral equation, weakly singular integral equation, weakly singular kernel, modified quadrature, weaken the singularity
@article{paperid:1039770,
author = {Saberi- Nadjafi, Jafar and Heidari, Mahdi},
title = {A new modified quadrature method for solving linear weakly singular integral equations},
journal = {World Journal of Modeling and Simulaton},
year = {2014},
volume = {10},
number = {1},
month = {February},
issn = {1746-7233},
pages = {69--78},
numpages = {9},
keywords = {linear integral equation; weakly singular integral equation; weakly singular kernel; modified quadrature; weaken the singularity},
}
%0 Journal Article
%T A new modified quadrature method for solving linear weakly singular integral equations
%A Saberi- Nadjafi, Jafar
%A Heidari, Mahdi
%J World Journal of Modeling and Simulaton
%@ 1746-7233
%D 2014
