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.
Suggested Reviewers
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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://dc.naturalspublishing.com/amis/vol11/iss6/27