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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2022 / Cilt: 12 - Sayı: 1

On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations

Lineer Olmayan Burgers Tip Denklemler İçin Etkili İki Nümerik Yöntem Üzerine

Bilge İNAN
Pages
70–87
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

In comparison with other defined results in the literature, it is deduced in a conclusive way that the methods are reliable and convenient alternative methods for solving for nonlinear Burgers’ type equations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we investigate two finite difference schemes to solve for nonlinear Burgers’ type equations.
📊
Key Findings & Data:In the first stage, we define the numerical methods to solve the equations.
💡
Conclusion & Impact:In comparison with other defined results in the literature, it is deduced in a conclusive way that the methods are reliable and convenient alternative methods for solving for nonlinear Burgers’ type equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, we investigate two finite difference schemes to solve for nonlinear Burgers’ type equations. In the first stage, we define the numerical methods to solve the equations. Secondly, numerical solutions are obtained and compared with the exact solutions. In comparison with other defined results in the literature, it is deduced in a conclusive way that the methods are reliable and convenient alternative methods for solving for nonlinear Burgers’ type equations.

Özet

Bu çalışmada, iki sonlu fark yöntemi kullanarak lineer olmayan Burgers tipi denklemlerin çözümleri incelenmiştir. İlk aşamada, denklemleri çözmek için nümerik yöntemler tanımlanmıştır. Daha sonra, nümerik çözümler elde edilmiş ve tam çözümlerle karşılaştırılmıştır. Literatürde tanımlanmış diğer sonuçlarla karşılaştırıldığında, yöntemlerin lineer olmayan Burgers tipi denklemlerin çözümü için güvenilir ve uygun alternatif yöntemler olduğu sonucu kesin bir şekilde elde edilmiştir.

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Cite This Article

İNAN, B. (2022). On Two Efficient Numerical Schemes for Nonlinear Burgers’ Type Equations. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 12 - Sayı: 1, 70–87. https://ajindex.com/articles/428395

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References (14)

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