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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 2

Lucas polynomial solution of nonlinear differential equations with variable delays

Sevin Gümgüm(Izmir University of Economics)0000-0002-0594-2377
Nurcan Baykuş Savaşaneril(Dokuz Eylül Üniversitesi)0000-0002-3098-2936
Ömür Kıvanç Kürkçü(Izmir University of Economics)0000-0002-3987-7171
Mehmet Sezer(MANISA CELAL BAYAR UNIVERSITY)0000-0002-7744-2574
Sayfa
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Yayın Tarihi
2020-04-02
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The method is tested on three problems to show that it allows both analytical and approximate solutions.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, a novel matrix method based on Lucas series and collocation points has been used to solve nonlinear differential equations with variable delays.
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Temel Bulgular & Veri:The application of the method converts the nonlinear equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown Lucas coefficients.
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Sonuç & Katkı:The method is tested on three problems to show that it allows both analytical and approximate solutions.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Nonlinear delay differential equations · Variable delays · Matrix and collocation methods

Abstract

In this study, a novel matrix method based on Lucas series and collocation points has been used to solve nonlinear differential equations with variable delays. The application of the method converts the nonlinear equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown Lucas coefficients. The method is tested on three problems to show that it allows both analytical and approximate solutions.

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Bu Makaleye Atıf Yap

Gümgüm, S., Savaşaneril, N. B., Kürkçü, Ö. K., Sezer, M. (2020). Lucas polynomial solution of nonlinear differential equations with variable delays. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 2. https://doi.org/10.15672/hujms.460975

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