Consider steady two-dimensional heat transfer in a square cross section (3 cm 3 cm) with the

Question:

Consider steady two-dimensional heat transfer in a square cross section (3 cm × 3 cm) with the prescribed temperatures at the top, right, bottom, and left surfaces to be 100°C, 200°C, 300°C, and 500°C, respectively. Using a uniform mesh size Δx = Δy, determine

(a) The finite difference equations

(b) The nodal temperatures with the Gauss-Seidel iterative method.