When the rod is heated at one end, the heat gets transferred to other part of the rod via conduction. Initially, the non-equilibrium Fourier’s equation governs the heat transfer but after a long time the equilibrium is obtained, and the temperature becomes constant. This movement of heat with time is shown using temperature profile which can be obtained using software like Matlab, Mathematica, and COMSOL Multiphysics. Now, the heat transfer gives rise to a temperature gradient inside the rod. This temperature gradient depends on the uniform heat source, the material, its dimensions, and on the atmospheric temperature. Applying these parameters in the Fourier’s equation can yield the non-equilibrium and the equilibrium temperature profile of a road heated at one end.