Consider the steady state temperature distribu- tion on a rectangular plate discretized by a 6 x...

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Consider the steady state temperature distribu- tion on a rectangular plate discretized by a 6 x 5 grid with Az = 0.1m and Ay = 0.2m as shown in the figure. The boundary conditions are also provided in the figure. a) Solve for the temperature values at the (i, j) = (2, 2) and (3, 2) grid points using the Gauss- Seidel method at the first iteration. Take the initial guess as 20C. Show all of your calculations clearly. b) Employ the line Gauss-Seidel method for the i = 2 grid line. Write down the coeffi- cient matrix and the right-hand side vector with the exact numerical val- ues. T=40C (2,2) (ij)=(1,1) T-20C insulated 0.1 m T=20C Consider the steady state temperature distribu- tion on a rectangular plate discretized by a 6 x 5 grid with Az = 0.1m and Ay = 0.2m as shown in the figure. The boundary conditions are also provided in the figure. a) Solve for the temperature values at the (i, j) = (2, 2) and (3, 2) grid points using the Gauss- Seidel method at the first iteration. Take the initial guess as 20C. Show all of your calculations clearly. b) Employ the line Gauss-Seidel method for the i = 2 grid line. Write down the coeffi- cient matrix and the right-hand side vector with the exact numerical val- ues. T=40C (2,2) (ij)=(1,1) T-20C insulated 0.1 m T=20C

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This problem is about solving the steadystate temperature distribution on a rectangular plate using the GaussSeidel method You have a discretized system and boundary conditions provided in the figure ... View the full answer