Sharif University of TechnologyScientia Iranica1026-309821620141201An efficient numerical approach for solving systems of high-order linear Volterra integral equationsAn efficient numerical approach for solving systems of high-order linear Volterra integral equations225022633618ENFarshidMirzaeeDepartment of Mathematics, Faculty of Science, Malayer University, Malayer, Iran0000-0002-1429-2548SaeedBimeslDepartment of Mathematics, Faculty of Science, Malayer University, Malayer, IranJournal Article20140115In this study, a collocation method based on the Bernoulli polynomials is presented to find approximate solutions of a system of high-order linear Volterra integral equations (VIEs) with variable coefficients. In fact, the approximate solution of the problem in the truncated Bernoulli series form is obtained by this method. In addition, the method is presented with error and stability analysis. To show the accuracy and the efficiency of the method, numerical examples are implemented and the comparisons are given by the other methods.https://scientiairanica.sharif.edu/article_3618_de12e5b4c9e8106f9c008891290bc537.pdf