A numerical technique based on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points for solving functional integro-differential equations involving variable delays

Sevin GÜMGÜM; Nurcan Baykuş Savaşaneril; Ömür Kıvanç KÜRKÇÜ; Mehmet SEZER

A numerical technique based on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points for solving functional integro-differential equations involving variable delays

Date

2018

Authors

Sevin GÜMGÜM

Nurcan Baykuş Savaşaneril

Ömür Kıvanç KÜRKÇÜ

Mehmet SEZER

Abstract

In this paper, a new numerical matrix-collocation technique is considered to solve functional integrodifferentialequations involving variable delays under the initial conditions. This technique is basedessentially on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points. Somedescriptive examples are performed to observe the practicability of the technique and the residual erroranalysis is employed to improve the obtained solutions. Also, the numerical results obtained by using thesecollocation points are compared in tables and figures.