[00111] A convergent numerical method for time-fractional reaction-diffusion equation
Session Time & Room : 1E (Aug.21, 17:40-19:20) @E702
Type : Contributed Talk
Abstract : This paper design and analyze a robust finite difference scheme for solving a time-fractional reaction-diffusion equation with smooth and non-smooth solutions. The solution of this equation exhibits a weak singularity at the initial time $\mathrm{t}=0$. So we use graded temporal mesh in order to handle the singularity. We discretize the space variable using a cubic polynomial spline difference scheme. Further, the stability and convergence for both the smooth and non-smooth solutions are analyzed separately.
