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

author

  • Mohammad Zarebnia 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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Journal title

volume 04  issue 1

pages  29- 42

publication date 2016-11-01

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