1. Steady-State Conduction System of linear equations. (35 points) • Steady-state conduction in two dimensions is descri

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1 Steady State Conduction System Of Linear Equations 35 Points Steady State Conduction In Two Dimensions Is Descri 1 (93.66 KiB) Viewed 49 times

1. Steady-State Conduction System of linear equations. (35 points) • Steady-state conduction in two dimensions is described by Laplace's equation от от = 0 - aray The difference equation using finite differences is: 147-21; +TVT-21; +T 74 (Art (Ay) For Ax=Ay, the equation for each node can be written as: left Tige+Tabove + Tee +Txeion - 4Tcele = 0 Apply Laplace's equation in discretized form (last equation to the region shown below and determine the temperature at points A through P (see figure below). Use your own Gauss Elimination code. Solutions with Matlab solvers will not be given credit. Hint: You can number the nodes as A=T1, B=T2, C=T3, etc. The temperature of boundary nodes are shown below. (30 pts) 100°C AB 100 .CD 307C E F G H 70C . L 20°C P