additive manufacturing

Question additive manufacturing
Reduce the above equation for steady-state thermal analysis of a system having a stationary heat flux and no-heat generation. Then solve the following problem:
Consider a case where the surface of an aluminum plate is irradiated by a stationary laser so that the steady-state temperature at the laser-irradiated region is defined by Gaussian distribution. The remaining boundaries are maintained room temperature (23°C).

a. Derive finite difference equations for all the interior nodes.
b. Develop a MATLAB code, and determine temperatures at all interior nodes.
look at file.