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

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

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 me...

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Main Authors: Melis Zorsahin Gorgulu, Idris Dag, Sumeyye Dogan, Dursun Irk
Format: Article
Language:English
Published: Anadolu University 2018-03-01
Series:Anadolu University Journal of Science and Technology. A : Applied Sciences and Engineering
Subjects:
Extended cubic B-spline
Galerkin finite element method
advection-diffusion equation
Online Access:http://dergipark.gov.tr/aubtda/issue/33078/336116?publisher=anadolu
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spelling doaj-99ad20c14add4c5ea2e99bf753740fcf2020-11-25T00:44:59ZengAnadolu UniversityAnadolu University Journal of Science and Technology. A : Applied Sciences and Engineering1302-31602146-02052018-03-011110.18038/aubtda.33611626A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONSMelis Zorsahin Gorgulu0Idris Dag1Sumeyye Dogan2Dursun Irk3Eskisehir Osmangazi UniversityEskisehir Osmangazi UniversityEskisehir Osmangazi UniversityEskisehir Osmangazi UniversityIn 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.http://dergipark.gov.tr/aubtda/issue/33078/336116?publisher=anadoluExtended cubic B-splineGalerkin finite element methodadvection-diffusion equation
collection DOAJ
language English
format Article
sources DOAJ
author Melis Zorsahin Gorgulu
Idris Dag
Sumeyye Dogan
Dursun Irk
spellingShingle Melis Zorsahin Gorgulu
Idris Dag
Sumeyye Dogan
Dursun Irk
A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS
Anadolu University Journal of Science and Technology. A : Applied Sciences and Engineering
Extended cubic B-spline
Galerkin finite element method
advection-diffusion equation
author_facet Melis Zorsahin Gorgulu
Idris Dag
Sumeyye Dogan
Dursun Irk
author_sort Melis Zorsahin Gorgulu
title A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS
title_short A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS
title_full A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS
title_fullStr A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS
title_full_unstemmed A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS
title_sort numerical solution of the advection-diffusion equation by using extended cubic b-spline functions
publisher Anadolu University
series Anadolu University Journal of Science and Technology. A : Applied Sciences and Engineering
issn 1302-3160
2146-0205
publishDate 2018-03-01
description 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.
topic Extended cubic B-spline
Galerkin finite element method
advection-diffusion equation
url http://dergipark.gov.tr/aubtda/issue/33078/336116?publisher=anadolu
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