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

Year 2018, Volume: 19 Issue: 2, 347 - 355, 31.03.2018

Melis Zorsahin Gorgulu , İdris Dag , Sumeyye Dogan Dursun Irk

https://doi.org/10.18038/aubtda.336116

Cited By: 2

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.

Keywords

Extended cubic B-spline, Galerkin finite element method, advection-diffusion equation

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