Stability and convergence of the cubic B-spline collocation method for time-fractional advection-diffusion equation

In this paper, the time-fractional advection-diffusion equation is solved by a cubic B-spline collocation method. For the fractional derivative we use the concept of the fractional derivative of Capato. Calculating of this numerical scheme is very simple. The presented numerical scheme is unconditional stable and highly accurate. We also obtain some error estimations with L2-norm and L∞-norm.