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Dergiler / Sakarya University Journal of Science / 2018 / Volume: 22 Issue: 6

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(İZMİR EKONOMİ ÜNİVERSİTESİ)0000-0002-0594-2377
Nurcan Baykuş Savaşaneril(DOKUZ EYLÜL ÜNİVERSİTESİ)0000-0002-3098-2936
Ömür Kıvanç Kürkçü(İZMİR EKONOMİ ÜNİVERSİTESİ)0000-0002-3987-7171
Mehmet Sezer(CELÂL BAYAR ÜNİVERSİTESİ)0000-0002-7744-2574
Sayfa
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Yayın Tarihi
2018-12-01
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Also, the numerical results obtained by using these collocation points are compared in tables and figures.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, a new numerical matrix-collocation technique is considered to solve functional integro-differential equations involving variable delays under the initial conditions.
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Temel Bulgular & Veri:This technique is based essentially on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points.
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Sonuç & Katkı:Also, the numerical results obtained by using these collocation points are compared in tables and figures.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Functional equations · Matrix technique · Lucas polynomials

Abstract

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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Bu Makaleye Atıf Yap

Gümgüm, S., Savaşaneril, N. B., Kürkçü, Ö. K., Sezer, M. (2018). A numerical technique based on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points for solving functional integro-differential equations involving variable delays. Sakarya University Journal of Science, Volume: 22 Issue: 6. https://doi.org/10.16984/saufenbilder.384592

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Kaynakça (30)

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