This note deals with a simulation algorithm for a reheating process of
long steel products. In the steel industry, it is not always possible
to measure the temperature of slabs during the reheating process. The
refore the well-known two-dimensional model of heat conduction with mi
xed convection-radiation boundary conditions is considered. This non-l
inear distributed system is discretized according to an implicit finit
e difference scheme and the temperature distribution of slabs is compu
ted at each time instant by an efficient iterative algorithm.