Cetin, MGurbuz, BSezer, M2024-07-182024-07-181844-9581http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/5225In this paper, a numerical collocation method based on Lucas polynomials is presented to solve the system of linear functional differential equations with variable coefficients under the mixed conditions. This method transforms the functional system along with conditions into a matrix equation by means of collocation points and the truncated Lucas series. Furthermore, by use of an error analysis technique based on residual function, we improve effectiveness of the method. Our results are illustrated and corroborated with some numerical experiments.EnglishLAGUERRE POLYNOMIAL APPROACHNUMERICAL-SOLUTIONMULTISTEP METHODSArticle