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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2018 / Cilt: 8 - Sayı: 2

An Application of Galerkin Method to Generalized Benjamin-Bona-Mahony-Burgers Equation

Genelleştirilmiş Benjamin-Bona-Mahony Denklemine Galerkin Metodunun Bir Uygulaması

Turgut Ak
Pages
53–69
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

As a result, it is observed that applied method is successful andefficient to show motions of some waves.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, Galerkin finite element method is applied to generalizedBenjamin-Bona-Mahony-Burgers (gBBM-B) equation.
📊
Key Findings & Data:The performance of the proposed method is checked by two test problems with zeroboundary conditions.
💡
Conclusion & Impact:As a result, it is observed that applied method is successful andefficient to show motions of some waves.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, Galerkin finite element method is applied to generalizedBenjamin-Bona-Mahony-Burgers (gBBM-B) equation. Quadratic B-spline functions areused as interpolation function. Stability analysis is investigated based on von Neumanntheory. The performance of the proposed method is checked by two test problems with zeroboundary conditions. As a result, it is observed that applied method is successful andefficient to show motions of some waves.

Özet

Bu çalışmada, genelleştirilmiş Benjamin-Bona-Mahony (gBBM-B) denklemine Galerkin sonlu elemanlar yöntemi uygulanmıştır. İnterpolasyon fonksiyonu olarak kuadratik B-spline fonksiyonlar kullanılmıştır. Von Neumann teorisine bağlı olarak kararlılık analizi incelenmiştir. Sıfır sınır şartları ile iki test problemi yardımıyla önerilen yöntemin performansı kontrol edilmiştir. Sonuç olarak, uygulanan yöntemin bazı dalga hareketlerini göstermek için başarılı ve etkili olduğu gözlenmiştir.

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Cite This Article

Ak, T. (2022). An Application of Galerkin Method to Generalized Benjamin-Bona-Mahony-Burgers Equation. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 8 - Sayı: 2, 53–69. https://ajindex.com/articles/428501

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