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Extended Cubic B-Spline Solution of the Advection-Diffusion Equation
Dursun Irk,Idris Dag,Mustafa Tombul 대한토목학회 2015 KSCE JOURNAL OF CIVIL ENGINEERING Vol.19 No.4
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 advectiondiffusion 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.