A numerical technique based on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points for solving functional  integro-differential equations involving variable delays

Sevin Gümgüm; Nurcan Baykuş Savaşaneril; Ömür Kıvanç Kürkçü; Mehmet Sezer

doi:https://doi.org/10.16984/saufenbilder.384592

Makale detayları

A numerical technique based on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points for solving functional integro-differential equations involving variable delays

Yazarlar:

Sevin Gümgüm | Nurcan Baykuş Savaşaneril | Ömür Kıvanç Kürkçü | Mehmet Sezer

Ana Başlıklar:

Matematik

Dergi:

Sakarya University Journal of Science 2018 Vol.22 Issue 6, pp.1659-1668

Belge Tipi:

Makale

Yayın Tarihi:

11/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000557430

DOI:

https://doi.org/10.16984/saufenbilder.384592

Özet:

 


In this paper, a new numerical matrix-collocation technique is considered
to solve functional integro-differential equations involving variable delays
under the initial conditions. This technique is based essentially on Lucas
polynomials together with standard and Chebyshev-Lobatto collocation points.
Some descriptive examples are performed to observe the practicability of the
technique and the residual error analysis is employed to improve the obtained
solutions. Also, the numerical results obtained by using these collocation
points are compared in tables and figures.


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Makale detayları

A numerical technique based on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points for solving functional integro-differential equations involving variable delays

Yazarlar: Sevin Gümgüm | Nurcan Baykuş Savaşaneril | Ömür Kıvanç Kürkçü | Mehmet Sezer

Ana Başlıklar: Matematik

Dergi: Sakarya University Journal of Science 2018 Vol.22 Issue 6, pp.1659-1668

Belge Tipi: Makale

Yayın Tarihi: 11/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000557430

DOI: https://doi.org/10.16984/saufenbilder.384592

Sayı

Yazarlar:

Sevin Gümgüm | Nurcan Baykuş Savaşaneril | Ömür Kıvanç Kürkçü | Mehmet Sezer

Ana Başlıklar:

Matematik

Dergi:

Sakarya University Journal of Science 2018 Vol.22 Issue 6, pp.1659-1668

Belge Tipi:

Makale

Yayın Tarihi:

11/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000557430

DOI:

https://doi.org/10.16984/saufenbilder.384592