Özel M.Tarakçı M.Sezer M.2024-07-222024-07-2220212651477Xhttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/13073An effective matrix method to solve the ordinary linear integro-differential equations with variable coefficients and variable delays under initial conditions is offered in this arti-cle. Our method consists of determining the approximate solution of the matrix form of Morgan-Voyce and Taylor polynomials and their derivatives in the collocation points. Then, we reconstruct the problem as a system of equations and solve this linear system. Also, some examples are given to show the validity and the residual error analysis is investigated. © 2021, Hacettepe University. All rights reserved.EnglishAll Open Access; Gold Open AccessArticle10.15672/hujms.569245