@article{article_307282, title={Pell-Lucas Collocation Method for Solving High-Order Functional Differential Equations with Hybrid Delays}, journal={Celal Bayar University Journal of Science}, volume={14}, pages={141–149}, year={2018}, DOI={10.18466/cbayarfbe.307282}, author={Şahin, Melike and Sezer, Mehmet}, keywords={Pell-Lucas polynomials,collocation method,functional differential-equations,residual error analysis,matrix method}, abstract={<p class="MsoNormal" style="text-align:justify;"> <span lang="en-us" style="font-size:10pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">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. </span> <br /> </p>}, number={2}, publisher={Manisa Celal Bayar University}