“…In his work, author proved that the convergence rate is of
for solutions belonging to
. Inspired by the work of [
25, 30, 33], we construct two fully discrete numerical schemes for the problem
that are based on finite difference in time (L1 scheme and Alikhanov's L2‐1
scheme) and conforming finite element method in space. We remark that this class of equations has not been analyzed in the literature yet, and this is the first attempt to establish new results for the problem
.…”