Zarebnia, M. (2016). Convergence analysis of the sinc collocation method for integro-differential equations system. Sahand Communications in Mathematical Analysis, 4(1), 29-42.

Mohammad Zarebnia. "Convergence analysis of the sinc collocation method for integro-differential equations system". Sahand Communications in Mathematical Analysis, 4, 1, 2016, 29-42.

Zarebnia, M. (2016). 'Convergence analysis of the sinc collocation method for integro-differential equations system', Sahand Communications in Mathematical Analysis, 4(1), pp. 29-42.

Zarebnia, M. Convergence analysis of the sinc collocation method for integro-differential equations system. Sahand Communications in Mathematical Analysis, 2016; 4(1): 29-42.

Convergence analysis of the sinc collocation method for integro-differential equations system

^{}Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili,m, P.O.Box 56199-11367, Ardabil, Iran.

Abstract

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.

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