MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION

GÖK, Emrah; Yüzbaşı, Şuayip; SEZER, Mehmet

MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION

Şuayip YÜZBAŞI, (Akdeniz University)

Emrah GÖK, (Muğla Sıtkı Koçman University)

Mehmet SEZER (Celal Bayar University)

Mathematical and Computational Applications

6 3

Yıl: 2013 Cilt: 18 Sayı: 3 Sayfa Aralığı: 476 - 485 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION

Öz:

In this paper, we consider the Müntz-Legendre polynomial solutions of thelinear delay Fredholm integro-differential equations and residual correction. Firstly, thelinear delay Fredholm integro-differential equations are transformed into a system oflinear algebraic equations by using by the matrix operations of the Müntz-Legendrepolynomials and the collocation points. When this system is solved, the MüntzLegendrepolynomial solution is obtained. Then, an error estimation is presented bymeans of the residual function and the Müntz-Legendre polynomial solutions areimproved by the residual correction method. The technique is illustrated by studying theproblem for an example. The obtained results show that error estimation and theresidual correction method is very effective.

Anahtar Kelime:

Konular: Matematik

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

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APA	Yüzbaşı Ş, GÖK E, SEZER M (2013). MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION. , 476 - 485.
Chicago	Yüzbaşı Şuayip,GÖK Emrah,SEZER Mehmet MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION. (2013): 476 - 485.
MLA	Yüzbaşı Şuayip,GÖK Emrah,SEZER Mehmet MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION. , 2013, ss.476 - 485.
AMA	Yüzbaşı Ş,GÖK E,SEZER M MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION. . 2013; 476 - 485.
Vancouver	Yüzbaşı Ş,GÖK E,SEZER M MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION. . 2013; 476 - 485.
IEEE	Yüzbaşı Ş,GÖK E,SEZER M "MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION." , ss.476 - 485, 2013.
ISNAD	Yüzbaşı, Şuayip vd. "MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION". (2013), 476-485.

APA	Yüzbaşı Ş, GÖK E, SEZER M (2013). MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION. Mathematical and Computational Applications, 18(3), 476 - 485.
Chicago	Yüzbaşı Şuayip,GÖK Emrah,SEZER Mehmet MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION. Mathematical and Computational Applications 18, no.3 (2013): 476 - 485.
MLA	Yüzbaşı Şuayip,GÖK Emrah,SEZER Mehmet MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION. Mathematical and Computational Applications, vol.18, no.3, 2013, ss.476 - 485.
AMA	Yüzbaşı Ş,GÖK E,SEZER M MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION. Mathematical and Computational Applications. 2013; 18(3): 476 - 485.
Vancouver	Yüzbaşı Ş,GÖK E,SEZER M MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION. Mathematical and Computational Applications. 2013; 18(3): 476 - 485.
IEEE	Yüzbaşı Ş,GÖK E,SEZER M "MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION." Mathematical and Computational Applications, 18, ss.476 - 485, 2013.
ISNAD	Yüzbaşı, Şuayip vd. "MÜNTZ-LEGENDRE POLYNOMIAL SOLUTIONS OF LINEAR DELAY FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS AND RESIDUAL CORRECTION". Mathematical and Computational Applications 18/3 (2013), 476-485.