Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 3°C. We apply continuously 104°C heat to the field 2x5
What is the temperature (rounded to whole numbers) in the field 4x0 after 120 iterations according to the Gauss-Seidel iteration
Field in the beginning
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
Field after 4 iterations (rounded after 4th iteration)
0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
1 | 3 | 6 | 6 | 5 | 4 | 3 | 2 | 2 | 1 |
3 | 12 | 21 | 17 | 11 | 7 | 5 | 3 | 2 | 1 |
10 | 32 | 61 | 39 | 21 | 12 | 7 | 4 | 3 | 1 |
18 | 60 | 165 | 67 | 31 | 15 | 8 | 5 | 3 | 1 |
14 | 38 | 67 | 44 | 25 | 14 | 8 | 5 | 3 | 1 |
8 | 20 | 30 | 25 | 17 | 11 | 7 | 4 | 3 | 1 |
4 | 10 | 14 | 13 | 10 | 7 | 5 | 3 | 2 | 1 |
2 | 4 | 6 | 6 | 5 | 3 | 2 | 2 | 1 | 0 |
Temperature in field 4x0 after 120 iterations: