Pell–Lucas series approach for a class of Fredholm-type delay integro-differential equations with variable delays

D Dönmez Demir, AP Lukonde, ÖK Kürkçü… - Mathematical …, 2021 - Springer
In this study, a Pell–Lucas matrix-collocation method is used to solve a class of Fredholm-
type delay integro-differential equations with variable delays under initial conditions. The …

Pell–Lucas polynomial method for Volterra integral equations of the second kind

AP Lukonde, DD Demir, H Emadifar, M Khademi… - Afrika Matematika, 2023 - Springer
This paper introduces a Pell-Lucas collocation method for solving Volterra integral
equations of the second kind. The proposed method employs collocation points and …

A Taylor-Splitting Collocation approach and applications to linear and nonlinear engineering models

S Çayan, BB Özhan, M Sezer - Chaos, Solitons & Fractals, 2022 - Elsevier
A novel matrix method based on the Taylor series called Taylor-Splitting Collocation Method
is presented to solve linear and nonlinear ordinary differential equations. Unlike the …