A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials

MOLLAOĞLU, Tuğçe; SEZER, Mehmet

A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials

Tuğçe MOLLAOĞLU, (Department of Mathematics, Faculty of Science, Manisa Celal Bayar University Manisa, Turkey)

Mehmet SEZER (Department of Mathematics, Faculty of Science, Manisa Celal Bayar University)

Celal Bayar Üniversitesi Fen Bilimleri Dergisi

3 1

Yıl: 2017 Cilt: 13 Sayı: 1 Sayfa Aralığı: 39 - 49 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials

Öz:

The main aim of this study is to apply the Gegenbauer polynomials for the solution of high-order lineardifferential difference equations with functional arguments under initial-boundary conditions.The technique wehave used is essentially based on the truncated Gegenbauer series and its matrix representations along withcollocation points. Also, by using the Mean-Value Theorem and residual function, an efficient error estimationtechnique is proposed and some illustrative examples are presented to demonstrate the validity and applicabilityof the method.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	MOLLAOĞLU T, SEZER M (2017). A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials. , 39 - 49.
Chicago	MOLLAOĞLU Tuğçe,SEZER Mehmet A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials. (2017): 39 - 49.
MLA	MOLLAOĞLU Tuğçe,SEZER Mehmet A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials. , 2017, ss.39 - 49.
AMA	MOLLAOĞLU T,SEZER M A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials. . 2017; 39 - 49.
Vancouver	MOLLAOĞLU T,SEZER M A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials. . 2017; 39 - 49.
IEEE	MOLLAOĞLU T,SEZER M "A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials." , ss.39 - 49, 2017.
ISNAD	MOLLAOĞLU, Tuğçe - SEZER, Mehmet. "A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials". (2017), 39-49.

APA	MOLLAOĞLU T, SEZER M (2017). A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 13(1), 39 - 49.
Chicago	MOLLAOĞLU Tuğçe,SEZER Mehmet A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 13, no.1 (2017): 39 - 49.
MLA	MOLLAOĞLU Tuğçe,SEZER Mehmet A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, vol.13, no.1, 2017, ss.39 - 49.
AMA	MOLLAOĞLU T,SEZER M A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials. Celal Bayar Üniversitesi Fen Bilimleri Dergisi. 2017; 13(1): 39 - 49.
Vancouver	MOLLAOĞLU T,SEZER M A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials. Celal Bayar Üniversitesi Fen Bilimleri Dergisi. 2017; 13(1): 39 - 49.
IEEE	MOLLAOĞLU T,SEZER M "A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials." Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 13, ss.39 - 49, 2017.
ISNAD	MOLLAOĞLU, Tuğçe - SEZER, Mehmet. "A numerical approach with residual error estimation for solution of high-order linear differential-difference equations by using Gegenbauer polynomials". Celal Bayar Üniversitesi Fen Bilimleri Dergisi 13/1 (2017), 39-49.