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3. The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation, 25°C 25°C If the plate is represented by a series of nodes (Fig.1), centered differences T T 100°C O'C finite-divided can substituted for the second T 100°CO Qo'c derivatives, which results in a system of linear algebraic equations

3. The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation, 25°C 25°C If the plate is represented by a series of nodes (Fig.1), centered differences T T 100°C O'C finite-divided can substituted for the second T 100°CO Qo'c derivatives, which results in a system of linear algebraic equations

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation, 25°C 25°C If the plate is represented by a series of nodes (Fig.1), centered T12 100°C O°C finite-divided differences can substituted for the second T 100°C 0°C derivatives, which results in a system of linear algebraic equations as follows: 75°C 75°C Use the Gauss-Seidel method to solve for the temperatures of the (175 |125 75 25 -1 -1 4 -1 4 nodes in Fig.1. Perform the 0 - 1||T, 2 4 -1|T21 - computation until ɛ, is less than Es = 0.5%. -1 -1 4 [T2 MATH206 week (5) 45 Spring 2021, 20/4/2021
Transcribed Image Text:3. The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation, 25°C 25°C If the plate is represented by a series of nodes (Fig.1), centered T12 100°C O°C finite-divided differences can substituted for the second T 100°C 0°C derivatives, which results in a system of linear algebraic equations as follows: 75°C 75°C Use the Gauss-Seidel method to solve for the temperatures of the (175 |125 75 25 -1 -1 4 -1 4 nodes in Fig.1. Perform the 0 - 1||T, 2 4 -1|T21 - computation until ɛ, is less than Es = 0.5%. -1 -1 4 [T2 MATH206 week (5) 45 Spring 2021, 20/4/2021
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