Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 12°C. We apply continuously 63°C heat to the field 0x5
What is the temperature (rounded to whole numbers) in the field 8x7 after 120 iterations according to the Gauss-Seidel iteration
Field in the beginning
12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
Field after 4 iterations (rounded after 4th iteration)
2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
3 | 5 | 6 | 7 | 7 | 7 | 7 | 6 | 5 | 2 |
5 | 8 | 9 | 9 | 9 | 9 | 9 | 8 | 6 | 3 |
12 | 14 | 13 | 12 | 11 | 11 | 10 | 9 | 7 | 4 |
31 | 25 | 19 | 15 | 13 | 12 | 11 | 10 | 7 | 4 |
88 | 40 | 24 | 17 | 14 | 13 | 12 | 10 | 8 | 4 |
32 | 27 | 20 | 16 | 14 | 12 | 11 | 10 | 7 | 4 |
14 | 16 | 15 | 13 | 12 | 11 | 10 | 9 | 6 | 3 |
6 | 9 | 10 | 9 | 9 | 8 | 8 | 7 | 5 | 2 |
3 | 4 | 5 | 5 | 5 | 4 | 4 | 3 | 2 | 1 |
Temperature in field 8x7 after 120 iterations: