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Journals / Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2018 / Cilt: 20 - Sayı: 3

Sextic B-spline Galerkin method for advection diffusion equation

Adveksiyon difüzyon denklemi için sektik B-spline Galerkin metodu

Evren TOPCU
Dursun IRK
Pages
105–116
Publication Date
2018-10-29
DOI
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AI Summary & Key Takeaways

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

Two numerical examples are studied to illustrate the accuracy and the efficiency of the proposed methods.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, sextic B-spline Galerkin finite element method is proposed for numerical solution of the advection diffusion equation.
📊
Key Findings & Data:In the method, second, three and fourth order single step methods are used for the time integration.
💡
Conclusion & Impact:Two numerical examples are studied to illustrate the accuracy and the efficiency of the proposed methods.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Advection diffusion equation · sextic B-spline · Galerkin method

Abstract

In this study, sextic B-spline Galerkin finite element method is proposed for numerical solution of the advection diffusion equation. In the method, second, three and fourth order single step methods are used for the time integration. Second order single step method is also known as Crank Nicolson method. Two numerical examples are studied to illustrate the accuracy and the efficiency of the proposed methods.

Özet

Bu çalışmada sektik B-spline Galerkin metodu adveksiyon difüzyon denkleminin yaklaşık çözümü için önerilmiştir. Önerilen metotta zaman parçalanması için doğruluğu iki, üç ve dört olan tek adımlı yöntemler kullanılmıştır. Doğruluğu iki olan yöntem Crank-Nicolson yöntemi olarak ta bilinmektedir. İki sayısal örnek kullanılarak önerilen yöntemlerin etkinliği ve doğruluğu kontrol edilmiştir.

🔖

Cite This Article

TOPCU, E., IRK, D. (2018). Sextic B-spline Galerkin method for advection diffusion equation. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 20 - Sayı: 3, 105–116. https://ajindex.com/articles/251072

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