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Journals / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 1

LUCAS POLYNOMIAL SOLUTION FOR NEUTRAL DIFFERENTIALEQUATIONS WITH PROPORTIONAL DELAYS

Sevin GÜMGÜM
ÖMÜR KIVANÇ KÜRKÇÜ
Nurcan BAYKU S SAVA SANER IL
Mehmet SEZER
Pages
259–269
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Presented in graphs and tables theresults are compared with the existing methods in literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper proposes a combined operational matrix approach based on Lu-cas and Taylor polynomials for the solution of neutral type differential equations withproportional delays.
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Key Findings & Data:The advantage of the proposed method is the ease of its applica-tion.
💡
Conclusion & Impact:Presented in graphs and tables theresults are compared with the existing methods in literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

This paper proposes a combined operational matrix approach based on Lu-cas and Taylor polynomials for the solution of neutral type differential equations withproportional delays. The advantage of the proposed method is the ease of its applica-tion. The method facilitates the solution of the given problem by reducing it to a matrixequation. Illustrative examples are validated by means of absolute errors. Residual errorestimation is presented to improve the solutions. Presented in graphs and tables theresults are compared with the existing methods in literature.

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Cite This Article

GÜMGÜM, S., KÜRKÇÜ, Ö. K., IL, N. B. S. S. S., SEZER, M. (2020). LUCAS POLYNOMIAL SOLUTION FOR NEUTRAL DIFFERENTIALEQUATIONS WITH PROPORTIONAL DELAYS. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 10 - Sayı: 1, 259–269. https://ajindex.com/articles/327382

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