Hybrid Taylor-Lucas collocation method for numerical solution of high-order pantograph type delay differential equations with variables delays
Applied Mathematics and Information Sciences, vol.11, no.6, pp.1795-1801, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 11 Issue: 6
- Publication Date: 2017
- Doi Number: 10.18576/amis/110627
- Journal Name: Applied Mathematics and Information Sciences
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1795-1801
- Keywords: Collocation method, Delay differential equation, Residual error estimation, Taylor and Lucas polynomials, Variable delays
- Dokuz Eylül University Affiliated: Yes
Abstract
© 2017 NSP.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.