Convergence of the sinc method applied to delay Volterra integral equations

‎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 sinccollocation 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.