Özel, MTarakçi, MSezer, M2024-07-182024-07-182008-13592251-7456http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/8433In this study, we consider a linear nonhomogeneous differential equation with variable coefficients and variable delays and present a novel matrix-collocation method based on Morgan-Voyce polynomials to obtain the approximate solutions under the initial conditions. The method reduces the equation with variable delays to a matrix equation with unknown Morgan-Voyce coefficients. Thereby, the solution is obtained in terms of Morgan-Voyce polynomials. In addition, two test problems together with error analysis are performed to illustrate the accuracy and applicability of the method; the obtained results are scrutinized and interpreted by means of tables and figures.EnglishVOLTERRA INTEGRODIFFERENTIAL EQUATIONSCOLLOCATION METHODMATRIX-METHODDICKSONArticle