Title:A Finite difference scheme with interpolation-type fractional formulas for distributed-order subdiffusion equations
Time: Wed, Mar.29, 2017, PM 16:20-17:20
Speaker: Prof.Seakweng Vong ( University of Macau )
Location:Room 4318, Building No.4, Wushan Campus
Abstract:In this talk we study a finite difference method for distributed-order sub-diffusion equations in Caputo's form. The fractional Caputo derivative is approximated by the Caputo's BDF2 approximations, which are constructed by piecewise quadratic interpolating polynomials. The method can be showed to be stable and convergent in the discrete $H^1$ norm by using the discrete energy method. For problems of distributed order within a certain region, the method is also proven to preserve the discrete maximum principle. Numerical experiments are provided to show the effectiveness of numerical schemes.