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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 5

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

Mustafa Özel
Mehmet Sezer
Mehmet Tarakçı
Pages
1434–1447
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Also, some examples are given to show the validity and the residual error analysis is investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact:Also, some examples are given to show the validity and the residual error analysis is investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Morgan-Voyce polynomials · integro differential equations with variable delays · matrix-collocation method

Abstract

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.

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Cite This Article

Özel, M., Sezer, M., Tarakçı, M. (2022). Morgan-Voyce polynomial approach for ordinary linear delay integro-differential equations with variable delays and variable bounds. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 5, 1434–1447. https://ajindex.com/articles/529517

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