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

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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 Mühendislik Araştırma Makalesi Yazar: Melis Zorsahin GorguluKurum: Eskisehir Osmangazi University, Central Research Laboratory Application and Research Center (ARUM), Odunpazari, Eskisehir, TurkeyÜlke: Turkey Yazar: Idris DagKurum: Eskisehir Osmangazi University, Central Research Laboratory Application and Research Center (ARUM), Odunpazari, Eskisehir, TurkeyÜlke: Turkey Yazar: Sumeyye DoganKurum: Eskisehir Osmangazi University, Central Research Laboratory Application and Research Center (ARUM), Odunpazari, Eskisehir, TurkeyÜlke: Turkey Yazar: Dursun IrkKurum: Eskisehir Osmangazi University, Central Research Laboratory Application and Research Center (ARUM), Odunpazari, Eskisehir, TurkeyÜlke: Turkey
 Bibtex @araştırma makalesi { aubtda336116, journal = {ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering}, 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 = {Zorsahin Gorgulu, Melis and Dag, Idris and Dogan, Sumeyye 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 UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering, 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 UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering 19 (2018): 347-355 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 UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering 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 UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering 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 UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering %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 UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY A - Applied Sciences and Engineering 19 / 2 (Mart 2018): 347-355. http://dx.doi.org/10.18038/aubtda.336116