Hybrid Taylor-Lucas Collocation Method for Numerical Solution of High-Order Pantograph Type Delay Differential Equations with Variables Delays

Authors

Nurcan Bayku, Vocational School, Dokuz Eylu¨l University, Izmir, TurkeyFollow
Mehmet Sezer, Department of Mathematics, Faculty of Science, Celal Bayar University, 45040, Manisa, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

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)

http://dx.doi.org/10.18576/amis/110627

Recommended Citation

Bayku, Nurcan and Sezer, Mehmet (2017) "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: Iss. 6, Article 27.
DOI: http://dx.doi.org/10.18576/amis/110627
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss6/27