1. Question 1- Laplace Equation: Leibmann's Method The four sides of a square plate of side 12cm, made of homogenous material, are kept at a constant temperature 0°C and 100°C as shown in Figure 1. Using a grid of mesh 4cm and applying Leibmann's method, perform up to four (4) iteration to find the temperature at the various mesh points.

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1. Question 1- Laplace Equation: Leibmann's Method
The four sides of a square plate of side 12cm, made of homogenous material, are kept at a constant
temperature 0°C and 100°C as shown in Figure 1. Using a grid of mesh 4cm and applying Leibmann's
method, perform up to four (4) iteration to find the temperature at the various mesh points.
12cm
U=100
➤U=0
R
u=100
U=100
·X
12cm
Figure 1 Showing Boundary Conditions for Given Problem.
Transcribed Image Text:1. Question 1- Laplace Equation: Leibmann's Method The four sides of a square plate of side 12cm, made of homogenous material, are kept at a constant temperature 0°C and 100°C as shown in Figure 1. Using a grid of mesh 4cm and applying Leibmann's method, perform up to four (4) iteration to find the temperature at the various mesh points. 12cm U=100 ➤U=0 R u=100 U=100 ·X 12cm Figure 1 Showing Boundary Conditions for Given Problem.
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