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

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.