Pell-Lucas Collocation Method for Solving High-Order Functional Differential Equations with Hybrid Delays

Yıl 2018, Cilt: 14 Sayı: 2, 141 - 149, 30.06.2018

Melike Şahin , Mehmet Sezer

https://doi.org/10.18466/cbayarfbe.307282

Cited By: 3

Öz

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.

Anahtar Kelimeler

Pell-Lucas polynomials, collocation method, functional differential-equations, residual error analysis, matrix method

Kaynakça

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