TY - JOUR ID - 20588 TI - Convergence analysis of the sinc collocation method for integro-differential equations system JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Zarebnia, Mohammad AD - Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili,m, P.O.Box 56199-11367, Ardabil, Iran. Y1 - 2016 PY - 2016 VL - 04 IS - 1 SP - 29 EP - 42 KW - Fredholm integro-differential KW - System of equation KW - Sinc function KW - Convergence DO - N2 - 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. UR - https://scma.maragheh.ac.ir/article_20588.html L1 - https://scma.maragheh.ac.ir/article_20588_07e309a824a67c1d2a2ed35788e411f9.pdf ER -