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
KSCE Journal of Civil Engineering ; 19 , 4 ; 929-934
01.12.2014
6 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Extended cubic B-spline solution of the advection-diffusion equation
Online Contents | 2015
|Solution of the Advection-diffusion Equation using the Differential Quadrature Method
Springer Verlag | 2009
|British Library Online Contents | 2012
|British Library Online Contents | 2012
|