AN HYBRID NUMERICAL ALGORITHM WITH ERROR ESTIMATION FOR A CLASS OF FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Burcu Gürbüz; Mehmet Sezer

Makale detayları

AN HYBRID NUMERICAL ALGORITHM WITH ERROR ESTIMATION FOR A CLASS OF FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Yazarlar:

Burcu Gürbüz | Mehmet Sezer

Yayıncı:

Gazi University

Dergi:

Gazi University Journal of Science 2016 Vol.29 Issue 2, pp.419-434

Belge Tipi:

Makale

Yayın Tarihi:

6/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000428688

eISSN:

2147-1762

Özet:

 


In this paper, a numerical algorithm based on Laguerre and Taylorpolynomials is applied for solving a class of functional integrodierential equations. The considered problem is transfered to a matrixequation which corresponds to a system of linear algebraic equationsby Hybrid collocation method under the mixed conditions. Thereliability and eciency of the proposed scheme are demonstrated bysome numerical experiments. Also, the approximate solutions are corrected by using the residual correction.

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Makale detayları

AN HYBRID NUMERICAL ALGORITHM WITH ERROR ESTIMATION FOR A CLASS OF FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Yazarlar: Burcu Gürbüz | Mehmet Sezer

Yayıncı: Gazi University

Dergi: Gazi University Journal of Science 2016 Vol.29 Issue 2, pp.419-434

Belge Tipi: Makale

Yayın Tarihi: 6/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000428688

eISSN: 2147-1762

Sayı

Yazarlar:

Burcu Gürbüz | Mehmet Sezer

Yayıncı:

Gazi University

Dergi:

Gazi University Journal of Science 2016 Vol.29 Issue 2, pp.419-434

Belge Tipi:

Makale

Yayın Tarihi:

6/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000428688

eISSN:

2147-1762