- Celal Bayar Üniversitesi Fen Bilimleri Dergisi
- Vol: 14 Issue: 2
- Pell-Lucas Collocation Method for Solving High-Order Functional Differential Equations with Hybrid D...
Pell-Lucas Collocation Method for Solving High-Order Functional Differential Equations with Hybrid Delays
Authors : Melike Şahin, Mehmet Sezer
Pages : 141-149
Doi:10.18466/cbayarfbe.307282
View : 19 | Download : 9
Publication Date : 2018-06-30
Article Type : Research
Abstract :In this study, the Pell-Lucas collocation method has been presented to solve high-order linear functional differential equations with hybrid delays under mixed conditions. The proposed method is based on the matrix forms of Pell-Lucas polynomials and their derivatives, along with the collocation points. The used technique reduces the problem to a matrix equation corresponding to a set of algebraic equations with the unknown Pell-Lucas coefficients. In addition, an error analysis based on residual function is performed and some numerical examples are presented to show the efficiency and accuracy of the method.Keywords : Pell-Lucas polynomials, collocation method, functional differential-equations, residual error analysis, matrix method