convergence analysis of the sinc collocation method for integro-differential equations system
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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 $o(e^{-k sqrt{n}})$ 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:
sahand communications in mathematical analysisجلد ۴، شماره ۱، صفحات ۲۹-۴۲
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