The Galerkin finite element method is applied to approximate the solution of a time fractional diffusion equation with variable diffusivity. By a delicate energy analysis, a priori error bounds are derived for both smooth and nonsmooth initial data. The generalized Leibniz formula for fractional derivatives is found to play a key role in our analysis. Numerical experiments are presented to illustrate some of the theoretical results.
King Fahd University of Petroleum and Mineral, Dhahran
Tue, 02/08/2016 - 11:05am to 11:55am
RC-4082, The Red Centre, UNSW