@article { author = {Shiri, L. and Zarebnia, M.}, title = {Convergence of the sinc method applied to delay Volterra integral equations}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {5}, pages = {1357-1375}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎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.}, keywords = {Volterra integral equations‎,‎nonvanishing delay‎,‎sinc-collocation‎}, url = {http://bims.iranjournals.ir/article_1030.html}, eprint = {http://bims.iranjournals.ir/article_1030_327268c4a1a76cc464033904300485c4.pdf} }