  Recently, Nair and Danumjaya (2023) introduced a new regularization method
for the homogeneous time-fractional backward heat conduction problem (TFBHCP)
in a one-dimensional space variable, for determining the initial value
function. In this paper, the authors extend the analysis done in the above
referred paper to a more general setting of an inhomogeneous time-fractional
heat equation involving the higher dimensional state variables and a general
elliptic operator. We carry out the analysis for the newly introduced
regularization method for the TFBHCP providing optimal order error estimates
under a source condition by choosing the regularization parameter
appropriately, and also carry out numerical experiments illustrating the
theoretical results.
