KSCE Journal of Civil Engineering, vol.19, no.4, pp.929-934, 2015 (SCI-Expanded)
© 2015, Korean Society of Civil Engineers and Springer-Verlag Berlin Heidelberg.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.