Consider steady two-dimensional heat transfer in a rectangular cross section (60 cm 30 cm) with the

Question:

Consider steady two-dimensional heat transfer in a rectangular cross section (60 cm × 30 cm) with the prescribed temperatures at the left, right, and bottom surfaces to be 0°C, and the top surface is given as 100sin(πx/60). Using a uniform mesh size Δx = Δy, determine

(a) The finite difference equations

(b) The nodal temperatures.