Bicer, KESezer, M2024-07-182024-07-182217-4303http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/2470In this study, we apply a matrix method based on Bernoulli polynomials and collocation points to solve functional integro-differential equations with hybrid delays. The main problem is reduced to a system of algebraic equations by using this method. After solving this system, we have the coefficients of the approximate solution of the given problem. The accuracy and applicability of the method is illustrated by examples and error estimation technique related to residual function is developed.EnglishNUMERICAL-SOLUTIONDIFFERENTIAL-EQUATIONSPOLYNOMIAL SOLUTIONSINTEGRAL-EQUATIONSSPECTRAL METHODSSYSTEMSArticle