Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 27°C. We apply continuously 121°C heat to the field 6x0
What is the temperature (rounded to whole numbers) in the field 2x7 after 30 iterations according to the Gauss-Seidel iteration
Field in the beginning
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
Field after 4 iterations (rounded after 4th iteration)
4 | 6 | 8 | 12 | 24 | 60 | 171 | 62 | 25 | 10 |
6 | 11 | 14 | 19 | 30 | 51 | 80 | 52 | 29 | 13 |
8 | 13 | 17 | 22 | 29 | 39 | 48 | 40 | 26 | 13 |
9 | 15 | 19 | 23 | 27 | 32 | 35 | 32 | 23 | 12 |
9 | 16 | 20 | 23 | 26 | 29 | 30 | 27 | 20 | 11 |
9 | 16 | 21 | 23 | 26 | 27 | 27 | 25 | 19 | 10 |
9 | 16 | 20 | 23 | 25 | 26 | 26 | 23 | 17 | 9 |
8 | 14 | 18 | 20 | 22 | 23 | 22 | 20 | 15 | 8 |
6 | 11 | 14 | 15 | 17 | 17 | 17 | 14 | 10 | 5 |
3 | 6 | 7 | 8 | 9 | 9 | 9 | 7 | 5 | 3 |
Temperature in field 2x7 after 30 iterations: