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Journals / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2018 / Cilt: 19 - Sayı: 2

A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS

İdris DAĞ
Melis Zorşahin GÖRGÜLÜ
Sümeyye DOĞAN
Dursun IRK
Pages
347–355
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

Robustness of the suggested method is shown bystudying some classical test problems and comparing the results with some earlier ones.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, numerical solution of the advection-diffusion equation is obtained by using extended cubic B-spline functions.For space discretization, the extended cubic B-spline Galerkin method is used to integrate the advection-diffusion equation andfor time discretization, the Crank-Nicolson method is employed to obtain the fully integrated advection-diffusion equation.
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Key Findings & Data:Themaximum error norm has been used to show the accuracy of the method.
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Conclusion & Impact:Robustness of the suggested method is shown bystudying some classical test problems and comparing the results with some earlier ones.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, numerical solution of the advection-diffusion equation is obtained by using extended cubic B-spline functions.For space discretization, the extended cubic B-spline Galerkin method is used to integrate the advection-diffusion equation andfor time discretization, the Crank-Nicolson method is employed to obtain the fully integrated advection-diffusion equation. Themaximum error norm has been used to show the accuracy of the method. Robustness of the suggested method is shown bystudying some classical test problems and comparing the results with some earlier ones.

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Cite This Article

DAĞ, İ., GÖRGÜLÜ, M. Z., DOĞAN, S., IRK, D. (2022). A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 19 - Sayı: 2, 347–355. https://ajindex.com/articles/438246

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