Convergence of the sinc method applied to delay Volterra integral equations

Document Type : Research Paper


Department of Mathematics‎, ‎University of Mohagheghe Ardabili‎, ‎56199-11367‎, ‎Ardabil‎, ‎Iran.


‎In this paper‎, ‎the numerical solutions of linear and nonlinear Volterra integral‎ ‎equations with nonvanishing delay are considered by two methods‎. ‎The methods are developed by means of‎ ‎the sinc approximation with the single exponential (SE) and double exponential (DE)‎ ‎transformations‎. ‎The existence and uniqueness of sinc-collocation solutions for these equations are provided‎. ‎These methods improve conventional results and achieve exponential convergence‎. ‎Numerical results are included to confirm the efficiency and accuracy of the methods.


Main Subjects

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