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

Year 2018, Volume: 14 Issue: 2, 141 - 149, 30.06.2018

Melike Şahin Mehmet Sezer

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

Cited By: 2

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

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