2. We have a plate of 12 x 15 cm and the temperatures on the edges are held as shown in the sketch below. Take Ax = Ay = 3 cm and use the S.O.R. method (successive overrelaxation method) to find the temperatures at all the grid points. First calculate the optimal value of and then use this value in the algorithm. Start with all grid values equal to the arithmetic average of the given boundary values. 100 120 150 150 120 100 90 70 70 (Not to scale!) 50 50 30 0 0 0 0 0 0
2. We have a plate of 12 x 15 cm and the temperatures on the edges are held as shown in the sketch below. Take Ax = Ay = 3 cm and use the S.O.R. method (successive overrelaxation method) to find the temperatures at all the grid points. First calculate the optimal value of and then use this value in the algorithm. Start with all grid values equal to the arithmetic average of the given boundary values. 100 120 150 150 120 100 90 70 70 (Not to scale!) 50 50 30 0 0 0 0 0 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Lk.19.
Transcribed Image Text:2. We have a plate of 12 x 15 cm and the temperatures on the edges are held as shown in the sketch
below. Take Ax = Ay = 3 cm and use the S.O.R. method (successive overrelaxation method) to find
the temperatures at all the grid points. First calculate the optimal value of and then use this value in
the algorithm. Start with all grid values equal to the arithmetic average of the given boundary values.
100
120
150
150
120
100
90
70
70
(Not to scale!)
50
50
30
0
0
0
0
0
3. Solve the problem in question 2 by using the A.D.I method (alternating-direction-implicit method)
without overrelaxation.
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