project need to be done by an numerical method expert

a rod is extended normal to a surface to transfer heat from a base material initially 0, to an ambient. the heat flows from the surface through the rod base ends at the tip of the rod, temperature measurement every centimeter of the rod is provided, we need to determine the heat flux at the origin point, at the end of the rod, and the amount of heat loss within the rod, and to show justification and compression on the findings