Bayku N.Sezer M.2024-07-222024-07-22201719350090http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15207In this study we consider a higher-order linear nonhomogenous pantograph type delay differential equation with variable coefficients and variables delays, and propose a new collocation method based on hybrid Taylor and Lucas polynomials. The presented method transforms the delay differential equation with the initial and boundary conditions to a system of linear algebraic equations with the unknown Lucas coefficients; by finding Lucas coefficients easily, Lucas polynomial solutions are obtained. Also an error estimation technique based on residual function is developed for our method and applied to exiting problems. © 2017 NSP.EnglishArticle10.18576/amis/110627