Yıl 2018, Cilt 19, Sayı 2, Sayfalar 347 - 355 2018-03-31

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

Melis Zorsahin Gorgulu [1] , Idris Dag [2] , Sumeyye Dogan [3] , Dursun Irk [4]

119 215

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.

Extended cubic B-spline, Galerkin finite element method, advection-diffusion equation
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Birincil Dil en
Konular Mühendislik
Dergi Bölümü Araştırma Makalesi
Yazarlar

Yazar: Melis Zorsahin Gorgulu
Kurum: Eskisehir Osmangazi University, Central Research Laboratory Application and Research Center (ARUM), Odunpazari, Eskisehir, Turkey
Ülke: Turkey


Yazar: Idris Dag
Kurum: Eskisehir Osmangazi University, Central Research Laboratory Application and Research Center (ARUM), Odunpazari, Eskisehir, Turkey
Ülke: Turkey


Yazar: Sumeyye Dogan
Kurum: Eskisehir Osmangazi University, Central Research Laboratory Application and Research Center (ARUM), Odunpazari, Eskisehir, Turkey
Ülke: Turkey


Yazar: Dursun Irk
Kurum: Eskisehir Osmangazi University, Central Research Laboratory Application and Research Center (ARUM), Odunpazari, Eskisehir, Turkey
Ülke: Turkey


Bibtex @araştırma makalesi { aubtda336116, journal = {Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik}, issn = {1302-3160}, eissn = {2146-0205}, address = {Eskişehir Teknik Üniversitesi}, year = {2018}, volume = {19}, pages = {347 - 355}, doi = {10.18038/aubtda.336116}, title = {A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS}, key = {cite}, author = {Dogan, Sumeyye and Zorsahin Gorgulu, Melis and Dag, Idris and Irk, Dursun} }
APA Zorsahin Gorgulu, M , Dag, I , Dogan, S , Irk, D . (2018). 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, 19 (2), 347-355. DOI: 10.18038/aubtda.336116
MLA Zorsahin Gorgulu, M , Dag, I , Dogan, S , Irk, D . "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 19 (2018): 347-355 <http://dergipark.gov.tr/aubtda/issue/33078/336116>
Chicago Zorsahin Gorgulu, M , Dag, I , Dogan, S , Irk, D . "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 19 (2018): 347-355
RIS TY - JOUR T1 - A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS AU - Melis Zorsahin Gorgulu , Idris Dag , Sumeyye Dogan , Dursun Irk Y1 - 2018 PY - 2018 N1 - doi: 10.18038/aubtda.336116 DO - 10.18038/aubtda.336116 T2 - Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik JF - Journal JO - JOR SP - 347 EP - 355 VL - 19 IS - 2 SN - 1302-3160-2146-0205 M3 - doi: 10.18038/aubtda.336116 UR - http://dx.doi.org/10.18038/aubtda.336116 Y2 - 2018 ER -
EndNote %0 Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS %A Melis Zorsahin Gorgulu , Idris Dag , Sumeyye Dogan , Dursun Irk %T A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS %D 2018 %J Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik %P 1302-3160-2146-0205 %V 19 %N 2 %R doi: 10.18038/aubtda.336116 %U 10.18038/aubtda.336116
ISNAD Zorsahin Gorgulu, Melis , Dag, Idris , Dogan, Sumeyye , Irk, Dursun . "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 19 / 2 (Mart 2018): 347-355. http://dx.doi.org/10.18038/aubtda.336116