The aim of this paper is to develop a mathematical model based on the finite difference method to simulate a surface remelting process on AIR 1045 samples. The specimens were examined by optical and electronic scanning microscopy. A good correlation between the numerical and experimental results concerning the delimitation of the remelted and heat affected zones has been observed. The numerical model is also compared with a numerical model from the literature and good agreement is observed between both theoretical results. Micro hardness measurements were also carried out on transverse sections at the resolidified and heat affected regions.15416714153