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Journals / Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2020 / Cilt: 13 - Sayı: 1

A Higher-Order Sensitive Finite Differences Scheme Of The Cauchy Problem For 2D Linear Hyperbolic Equations With Constant Coefficients In A Class Of Discontinuous Functions

Sabit Katsayılı İki Boyutlu Lineer Hiperbolik Denklemler İçin Cauchy Probleminin Süreksiz Fonksiyonlar Sınıfında Yüksek Mertebeden Hassas Sonlu Farklar Şeması

Öykü YENER
Bahaddin SİNSOYSAL
Mahir RESULOV
Pages
6–12
Publication Date
2020-06-30
DOI
—
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AI Summary & Key Takeaways

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

The proposed auxiliary problem permits us construct a higher order sensitive finite differences schema.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study we develop a finite difference schema for practical calculation of the Cauchy problem for the 2D scalar advection equation with a higher accuracy oder constant coefficient, encountered in different areas of hydrodynamics.
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Key Findings & Data:For this aim to develop an auxiliary problem having some advantages over the main problem is introduced.
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Conclusion & Impact:The proposed auxiliary problem permits us construct a higher order sensitive finite differences schema.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hidrodinamiğin model denklemleri · Süreksiz fonksiyonlar sınıfında zayıf çözüm · Modelling equations of hydrodynamics

Abstract

In this study we develop a finite difference schema for practical calculation of the Cauchy problem for the 2D scalar advection equation with a higher accuracy oder constant coefficient, encountered in different areas of hydrodynamics. For this aim to develop an auxiliary problem having some advantages over the main problem is introduced. The proposed auxiliary problem permits us construct a higher order sensitive finite differences schema.

Özet

Bu çalışmada, hidrodinamiğin çeşitli alanlarında karşılaşılan iki boyutlu skaler adveksiyon denklemi için yazılmış Cauchy probleminin pratik hesaplanması için bir sonlu fark şeması geliştirilmiştir. Bu amaçla, ana probleme göre bazı avantajları olan bir yardımcı problem sunulmuştur. Önerilen yardımcı problem, daha yüksek mertebeden hassas bir sonlu farklar şeması oluşturmaya imkan sağlar.

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Cite This Article

YENER, Ö., SİNSOYSAL, B., RESULOV, M. (2020). A Higher-Order Sensitive Finite Differences Scheme Of The Cauchy Problem For 2D Linear Hyperbolic Equations With Constant Coefficients In A Class Of Discontinuous Functions. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 13 - Sayı: 1, 6–12. https://ajindex.com/articles/742257

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