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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2017 / Cilt: 10 - Sayı: 2

Analysis of the Layer Behavior to the Parameterized Problem with Integral Boundary Condition

Mustafa KUDU
Pages
296–302
Publication Date
2017-12-22
DOI
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AI Summary & Key Takeaways

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

The estimates are obtained with the use of a mathematical technique that can also be applied in appropriate grid computations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A parameterized singularly perturbed first order quasilinear boundary value problem with integral boundary conditions is considered.
📊
Key Findings & Data:Asymptotic estimates for the solution and its first derivative have been established.
💡
Conclusion & Impact:The estimates are obtained with the use of a mathematical technique that can also be applied in appropriate grid computations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Parametreli problem · Asimptotik değerlendirme · Singüler pertürbasyon

Abstract

A parameterized singularly perturbed first order quasilinear boundary value problem with integral boundary conditions is considered. Asymptotic estimates for the solution and its first derivative have been established. Given an example supports these theoretical results and indicate that the estimates are sharp. The estimates are obtained with the use of a mathematical technique that can also be applied in appropriate grid computations.

Özet

Bu çalışmada, integral sınır şartlı parametreye bağlı singüler pertürbe özellikli kuazi-lineer sınır-değer problemi ele alınmıştır. Problemin çözümü ve birinci türevleri için asimptotik değerlendirmeler elde edilmiştir. Bu teorik sonuçları destekleyen ve değerlendirmelerin kesin olduğunu gösteren bir örnek verilmiştir. Asimptotik değerlendirmelerin elde edilmesinde kullanılan yöntem uygun nümerik çözümlerin incelenmesinde kullanılabilir.

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Cite This Article

KUDU, M. (2017). Analysis of the Layer Behavior to the Parameterized Problem with Integral Boundary Condition. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 10 - Sayı: 2, 296–302. https://ajindex.com/articles/234019

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References (12)

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