Time: 9h30, Tuesday, June 16, 2020

Location: Room 302, Building A5, Institute of Mathematics

Abstract: The sideways time-fractional advection-dispersion problem is well known to be ill-posed. We prove some stability estimates of Holder type for the problem and apply a mollification method to stabilize it. The mollification parameters are chosen either by a priori or by a posterior parameter choice rules which give error estimates of Holder type. Some numerical examples are presented for illustrating the efficiency of our approach.

This work is in collaboration with Dinh Nho Hao, Nguyen Van Thang and Pham Quy Muoi.