  We consider a boundary value problem (BVP) modelling one-dimensional
heat-conduction with radiation, which is derived from the Stefan-Boltzmann law.
The problem strongly depends on the parameters, making difficult to estimate
the solution. We use an analytical approach to determine upper and lower bounds
to the exact solution of the BVP, which allows estimating the latter. Finally,
we support our theoretical arguments with numerical data, by implementing them
into the MAPLE computer program.
