The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation,

0 = ?²T/?x² + ?²T/?y²

If the plate is represented by a series of nodes (Figure), centered finite-divided differences can be substituted for the second derivatives, which results in a system of linear algebraic equations. Use the Gauss-Seidel method to solve for the temperatures of the nodes in Figure,

Transcribed Image Text:

25°C 25°C Tn T12 100°CO O°C 0°C 100°C O 75°C 75°C