In 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.
Digital Object Identifier (DOI)
Bayku, Nurcan and Sezer, Mehmet
"Hybrid Taylor-Lucas Collocation Method for Numerical Solution of High-Order Pantograph Type Delay Differential Equations with Variables Delays,"
Applied Mathematics & Information Sciences: Vol. 11:
6, Article 27.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss6/27