A plane wall k 20 wm degc of thickness 40 cm has its outer

Question

A plane wall (k = 20 W/m °C) of thickness 40 cm has its outer surfaces maintained at 30 °C. If there is uniform internal heat generation of 0.2 MW/m³ in the plane wall, determine the temperature distribution in the plane wall. Solve this problem using

(a) four linear elements

(b) one quadratic element and

(c) one modified quadratic element with only two nodes. Compare the results with analytical solutions.