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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2019 / Cilt: 19 - Sayı: 1

Newton’s Law of Cooling: A Fractional Approach

Newton’un Soğuma Kanunu: Kesirsel Bir Yaklaşım

Hüseyin ŞİRİN
Abdullah Engin ÇALIK
Pages
60–66
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Order of fractional derivative which is most suitable for the experimental results has been obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, the differential equation describing Newton's law of cooling has been redefined and solved using Caputo fractional derivative.
📊
Key Findings & Data:Unlike similar fractional solutions in the literature, this new solution does not contain any time parameter.
💡
Conclusion & Impact:Order of fractional derivative which is most suitable for the experimental results has been obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, the differential equation describing Newton's law of cooling has been redefined and solved using Caputo fractional derivative. Unlike similar fractional solutions in the literature, this new solution does not contain any time parameter. The obtained results have been compared with the experimental and the standard ones. Order of fractional derivative which is most suitable for the experimental results has been obtained.

Özet

Bu çalışmada Newton’un soğuma kanununu tasvir eden diferansiyel denklem Caputo kesirsel türevikullanılarak yeniden tanımlanmış ve çözülmüştür. Bu yeni çözüm literatürdeki benzer kesirselçözümlerden farklı olarak herhangi bir zaman parametresi içermemektedir. Elde edilen sonuçlardeneysel ve standart sonuçlarla karşılaştırılmıştır. Deneysel sonuçlara en uygun olan kesirsel türevmertebesi elde edilmiştir.

🔖

Cite This Article

ŞİRİN, H., ÇALIK, A. E. (2022). Newton’s Law of Cooling: A Fractional Approach. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 19 - Sayı: 1, 60–66. https://ajindex.com/articles/430136

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References (7)

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