Consider a rectangular plate 20 cm x 30 cm. Three of the sides (left, bottom, and right side) are maintained are at a constant temperature of 20 C whereas the top side is maintained at 80 C. Write a general computer program to solve for the steady state temperature solution of the plate using the Gauss-Seidel iterative method for any grid arbitrary grid mesh n x m. Obtain a temperature solution using a grid mesh of 10x10, 20x20, and 30x30. Compare in terms of percent error the three numerical solutions to the closed form solution at the following five points (W and H represent the width and height of the plate (a) W/4, H/4 (b) 3W/4, H/4 (c) W/2, H/2 (d) W/4, 3H/4 (e) 3W14, Consider a rectangular plate 20 cm x 30 cm. Three of the sides (left, bottom, and right side) are maintained are at a constant temperature of 20 C whereas the top side is maintained at 80 C. Write a general computer program to solve for the steady state temperature solution of the plate using the Gauss-Seidel iterative method for any grid arbitrary grid mesh n x m. Obtain a temperature solution using a grid mesh of 10x10, 20x20, and 30x30. Compare in terms of percent error the three numerical solutions to the closed form solution at the following five points (W and H represent the width and height of the plate (a) W/4, H/4 (b) 3W/4, H/4 (c) W/2, H/2 (d) W/4, 3H/4 (e) 3W14