Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data

In this paper, we consider a two-term time-fractional diffusion-wave equation which involves the fractional orders α ∈ (1, 2) and β (0, 1), respectively. By using piecewise linear Galerkin finite element method in space convolution quadrature based on second-order backward difference time, obtain robust fully discrete scheme. Error estimates for semidiscrete schemes are established with respect to nonsmooth data. Numerical experiments two-dimensional problems provided illustrate efficiency of conform theoretical results.