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

Yıl 2018, Cilt: 22 Sayı: 6, 1659 - 1668, 01.12.2018

Sevin Gümgüm Nurcan Baykuş Savaşaneril Ömür Kıvanç Kürkçü Mehmet Sezer

https://doi.org/10.16984/saufenbilder.384592

Cited By: 11

Öz

In this paper, a new numerical matrix-collocation technique is considered
to solve functional integro-differential equations involving variable delays
under the initial conditions. This technique is based essentially on Lucas
polynomials together with standard and Chebyshev-Lobatto collocation points.
Some descriptive examples are performed to observe the practicability of the
technique and the residual error analysis is employed to improve the obtained
solutions. Also, the numerical results obtained by using these collocation
points are compared in tables and figures.

Anahtar Kelimeler

Functional equations, Matrix technique, Lucas polynomials, Residual error analysis.

Kaynakça

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