Gürbüz B.Sezer M.2024-07-222024-07-22201621471762http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16045In this paper, a numerical algorithm based on Laguerre and Taylor polynomials is applied for solving a class of functional integro-differential equations. The considered problem is transfered to a matrix equation which corresponds to a system of linear algebraic equations by Hybrid collocation method under the mixed conditions. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments. Also, the approximate solutions are corrected by using the residual correction. © 2016, Gazi University Eti Mahallesi.All rights reserved.EnglishApproximation algorithmsLinear equationsMatrix algebraNumerical methodsPolynomialsAlgorithms for functional approximationsCollocation methodConditionLaguerre's polynomialsLinear functional differential equationsMatrix equationsNumerical algorithmsSystems of linear algebraic equationsTaylor and laguerre polynomial and seriesTaylor polynomialsIntegrodifferential equationsArticle