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Extended cubic B-spline solution of the advection-diffusion equation

Irk, Dursun / Dağ, İdris / Tombul, Mustafa

Abstract The collocation method based on the extended B-spline functions as trial functions is set up to find numerical solutions of the advection-diffusion equation numerically. The transport of the pollution is simulated by way of using solutions of the advection-diffusion equation. Comparative results of use of both B-spline and extended B-spline in the collocation method are illustrated. It is concluded that a suitable selection of the free parameter of extended B-spline is shown to provide less error for the numerical solutions of the advection-diffusion equation with some boundary and initial conditions.

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Extended cubic B-spline solution of the advection-diffusion equation

Irk, Dursun / Dağ, İdris / Tombul, Mustafa

Abstract The collocation method based on the extended B-spline functions as trial functions is set up to find numerical solutions of the advection-diffusion equation numerically. The transport of the pollution is simulated by way of using solutions of the advection-diffusion equation. Comparative results of use of both B-spline and extended B-spline in the collocation method are illustrated. It is concluded that a suitable selection of the free parameter of extended B-spline is shown to provide less error for the numerical solutions of the advection-diffusion equation with some boundary and initial conditions.

Extended cubic B-spline solution of the advection-diffusion equation

Irk, Dursun / Dağ, İdris / Tombul, Mustafa

Abstract The collocation method based on the extended B-spline functions as trial functions is set up to find numerical solutions of the advection-diffusion equation numerically. The transport of the pollution is simulated by way of using solutions of the advection-diffusion equation. Comparative results of use of both B-spline and extended B-spline in the collocation method are illustrated. It is concluded that a suitable selection of the free parameter of extended B-spline is shown to provide less error for the numerical solutions of the advection-diffusion equation with some boundary and initial conditions.

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Title:

Extended cubic B-spline solution of the advection-diffusion equation

Contributors:

Irk, Dursun (author) / Dağ, İdris (author) / Tombul, Mustafa (author)

Published in:

KSCE Journal of Civil Engineering ; 19 ; 929-934

Publication date:

2014-12-01

Size:

6 pages

ISSN:

1976-3808 , 1226-7988

DOI:

https://doi.org/10.1007/s12205-013-0737-7

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

B-spline , collocation method , pollutant transport Engineering , Civil Engineering , Industrial Pollution Prevention , Geotechnical Engineering & Applied Earth Sciences

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