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Journals / Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering / 2018 / Cilt: 19 - Sayı: 2

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

Melis ZORSAHİN GORGULU
İdris DAG
Sumeyye DOGAN
Dursun IRK
Pages
347–355
Publication Date
2018-03-31
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 by studying 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.
📊
Key Findings & Data:For space discretization, the extended cubic B-spline Galerkin method is used to integrate the advection-diffusion equation and for time discretization, the Crank-Nicolson method is employed to obtain the fully integrated advection-diffusion equation.
💡
Conclusion & Impact:Robustness of the suggested method is shown by studying some classical test problems and comparing the results with some earlier ones.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Extended cubic B-spline · Galerkin finite element method · advection-diffusion equation

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 and for time discretization, the Crank-Nicolson method is employed to obtain the fully integrated advection-diffusion equation. The maximum error norm has been used to show the accuracy of the method. Robustness of the suggested method is shown by studying some classical test problems and comparing the results with some earlier ones.

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Cite This Article

GORGULU, M. Z., DAG, İ., DOGAN, S., IRK, D. (2018). A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, Cilt: 19 - Sayı: 2, 347–355. https://ajindex.com/articles/196790

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