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

Journal: Sahand Communications in Mathematical Analysis (Vol.4, No. 1)

Publication Date:

Authors : ;

Page : 29-42

Keywords : Fredholm integro-differential; System of equation; Sinc function; Convergence;

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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−kN√) of the method is proved. The analytical results are illustrated with numerical examples that exhibit the exponential convergence rate.

Last modified: 2017-01-28 14:33:06