Morgan-Voyce polynomial approach for ordinary linear delay integro-differential equations with variable delays and variable bounds

Mustafa ÖZEL; Mehmet TARAKÇI; Mehmet SEZER

doi:https://doi.org/10.15672/hujms.569245

Makale detayları

Morgan-Voyce polynomial approach for ordinary linear delay integro-differential equations with variable delays and variable bounds

Yazarlar:

Mustafa ÖZEL | Mehmet TARAKÇI | Mehmet SEZER

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 5, pp.1434-1447

Belge Tipi:

Makale

Yayın Tarihi:

10/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450503

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.569245

Özet:

 

An effective matrix method to solve the ordinary linear integro-differential equations with variable coefficients and variable delays under initial conditions is offered in this article. Our method consists of determining the approximate solution of the matrix form of Morgan-Voyce and Taylor polynomials and their derivatives in the collocation points. Then, we reconstruct the problem as a system of equations and solve this linear system. Also, some examples are given to show the validity and the residual error analysis is investigated.

Makale detayları

Morgan-Voyce polynomial approach for ordinary linear delay integro-differential equations with variable delays and variable bounds

Yazarlar: Mustafa ÖZEL | Mehmet TARAKÇI | Mehmet SEZER

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 5, pp.1434-1447

Belge Tipi: Makale

Yayın Tarihi: 10/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000450503

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.569245

Sayı

Yazarlar:

Mustafa ÖZEL | Mehmet TARAKÇI | Mehmet SEZER

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2021 Vol.50 Issue 5, pp.1434-1447

Belge Tipi:

Makale

Yayın Tarihi:

10/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000450503

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.569245