Dergiler / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2018 / Cilt: 19 - Sayı: 2

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

İdris DAĞ, Melis Zorşahin GÖRGÜLÜ, Sümeyye DOĞAN, Dursun IRK

Sayfa
347–355
DOI
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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 andfor time discretization, the Crank-Nicolson method is employed to obtain the fully integrated advection-diffusion equation. Themaximum error norm has been used to show the accuracy of the method. Robustness of the suggested method is shown bystudying some classical test problems and comparing the results with some earlier ones.