Problem-1 The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation: 100°C O

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Problem 1 The Steady State Distribution Of Temperature On A Heated Plate Can Be Modeled By The Laplace Equation 100 C O 1 (66.43 KiB) Viewed 11 times

Problem-1 The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation: 100°C O 0 If the plate is represented by a series of nodes as shown in the figure, centered finite differences can be substituted for the second derivatives, which result in a system of linear algebraic equations. Build up the equivalent system of linear algebraic equations that represent this model considering AX=AY and use Gauss-Seidel (iterative) method to solve for the temperatures of the interior nodes in the figure. 100°C O -07, 07 = + 25°C T12 75°C 25°C T22 T21 75°C 0 0°C 0°C