Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 26°C. We apply continuously 85°C heat to the field 9x1
What is the temperature (rounded to whole numbers) in the field 8x1 after 138 iterations according to the Gauss-Seidel iteration
Field in the beginning
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
Field after 4 iterations (rounded after 4th iteration)
4 | 6 | 8 | 8 | 9 | 9 | 10 | 15 | 25 | 35 |
6 | 10 | 13 | 14 | 15 | 16 | 18 | 27 | 51 | 118 |
8 | 13 | 16 | 18 | 19 | 20 | 22 | 28 | 37 | 44 |
8 | 14 | 18 | 21 | 22 | 23 | 24 | 26 | 27 | 21 |
9 | 15 | 19 | 22 | 23 | 24 | 24 | 24 | 21 | 13 |
9 | 15 | 20 | 22 | 24 | 24 | 24 | 23 | 18 | 10 |
9 | 15 | 19 | 22 | 23 | 24 | 24 | 22 | 17 | 9 |
8 | 14 | 17 | 20 | 21 | 22 | 21 | 19 | 14 | 7 |
6 | 10 | 13 | 15 | 16 | 16 | 16 | 14 | 10 | 5 |
3 | 5 | 7 | 8 | 8 | 9 | 8 | 7 | 5 | 3 |
Temperature in field 8x1 after 138 iterations: