%0 Journal Article
%T Convergence analysis of the sinc collocation method for integro-differential equations system
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Zarebnia, Mohammad
%D 2016
%\ 11/01/2016
%V 04
%N 1
%P 29-42
%! Convergence analysis of the sinc collocation method for integro-differential equations system
%K Fredholm integro-differential
%K System of equation
%K Sinc function
%K Convergence
%R
%X In this paper, a numerical solution for a system of linear Fredholm integro-differential equations by means of the sinc method is considered. This approximation reduces the system of integro-differential equations to an explicit system of algebraic equations. The exponential convergence rate $O(e^{-k sqrt{N}})$ of the method is proved. The analytical results are illustrated with numerical examples that exhibit the exponential convergence rate.
%U http://scma.maragheh.ac.ir/article_20588_07e309a824a67c1d2a2ed35788e411f9.pdf