Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 14°C. We apply continuously 110°C heat to the field 1x5
What is the temperature (rounded to whole numbers) in the field 8x2 after 114 iterations according to the Gauss-Seidel iteration
Field in the beginning
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
Field after 4 iterations (rounded after 4th iteration)
2 | 3 | 4 | 4 | 5 | 5 | 5 | 4 | 3 | 2 |
3 | 6 | 8 | 8 | 8 | 8 | 8 | 7 | 6 | 3 |
6 | 11 | 13 | 13 | 12 | 11 | 11 | 9 | 7 | 4 |
14 | 27 | 25 | 20 | 16 | 14 | 13 | 11 | 8 | 4 |
33 | 69 | 49 | 31 | 22 | 17 | 14 | 12 | 9 | 5 |
59 | 178 | 78 | 41 | 26 | 19 | 15 | 13 | 9 | 5 |
37 | 74 | 54 | 35 | 24 | 19 | 15 | 13 | 9 | 5 |
19 | 35 | 32 | 25 | 20 | 16 | 14 | 11 | 8 | 4 |
10 | 17 | 18 | 16 | 14 | 12 | 10 | 8 | 6 | 3 |
4 | 7 | 8 | 8 | 7 | 6 | 5 | 4 | 3 | 1 |
Temperature in field 8x2 after 114 iterations: