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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Bibliographic Details
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
Description
Summary: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.
ISSN:1302-3160
2146-0205

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