  In the present work, we consider a nonlinear inverse problem of identifying
the lowest coefficient of a parabolic equation. The desired coefficient depends
on spatial variables only. Additional information about the solution is given
at the final time moment, i.e., we consider the final redefinition. An
iterative process is used to evaluate the lowest coefficient, where at each
iteration we solve the standard initial-boundary value problem for the
parabolic equation. On the basis of the maximum principle for the solution of
the differential problem, the monotonicity of the iterative process is
established along with the fact that the coefficient approaches from above. The
possibilities of the proposed computational algorithm are illustrated by
numerical examples for a model two-dimensional problem.
