Discuss the below in detail:
Q: Derive the nodal finite-difference equations for the following configurations.
(a) Node m, n on a diagonal boundary subjected to convection with a fluid at T8 and a heat transfer coefficient h. Assume Δx = Δy.
(b) Node m, n at the tip of a cutting tool with the upper surface exposed to a constant heat flux q"0, and the diagonal surface exposed to a convection cooling process with the fluid at T8 and a heat transfer coefficient h. Assume Δx = Δy.
