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

Abstract

In this study, thePell-Lucas collocation method has been presented to solve high-order linearfunctional differential equations with hybrid delays under mixed conditions.The proposed method is based on the matrix forms of Pell-Lucas polynomials andtheir derivatives, along with the collocation points. The used techniquereduces the problem to a matrix equation corresponding to a set of algebraicequations with the unknown Pell-Lucas coefficients. In addition, an erroranalysis based on residual function is performed and some numerical examplesare presented to show the efficiency and accuracy of the method.