TY  - JOUR
T1  - A numerical technique based on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points for solving functional  integro-differential equations involving variable delays
AU  - Gümgüm, Sevin
AU  - Baykuş Savaşaneril, Nurcan
AU  - Kürkçü, Ömür Kıvanç
AU  - Sezer, Mehmet
PY  - 2018
DA  - December
Y2  - 2018
DO  - 10.16984/saufenbilder.384592
JF  - Sakarya University Journal of Science
JO  - SAUJS
PB  - Sakarya University
WT  - DergiPark
SN  - 2147-835X
SP  - 1659
EP  - 1668
VL  - 22
IS  - 6
LA  - en
AB  - In this paper, a new numerical matrix-collocation technique is consideredto solve functional integro-differential equations involving variable delaysunder the initial conditions. This technique is based essentially on Lucaspolynomials together with standard and Chebyshev-Lobatto collocation points.Some descriptive examples are performed to observe the practicability of thetechnique and the residual error analysis is employed to improve the obtainedsolutions. Also, the numerical results obtained by using these collocationpoints are compared in tables and figures.
KW  - Functional equations
KW  - Matrix technique
KW  - Lucas polynomials
KW  - Residual error analysis.
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UR  - https://doi.org/10.16984/saufenbilder.384592
L1  - https://dergipark.org.tr/en/download/article-file/458213
ER  -