Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 33°C. We apply continuously 123°C heat to the field 3x9
What is the temperature (rounded to whole numbers) in the field 8x2 after 113 iterations according to the Gauss-Seidel iteration
Field in the beginning
33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 |
33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 |
33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 |
33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 |
33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 |
33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 |
33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 |
33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 |
33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 |
33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 | 33 |
Field after 4 iterations (rounded after 4th iteration)
5 | 8 | 10 | 11 | 11 | 11 | 11 | 10 | 7 | 4 |
8 | 13 | 16 | 18 | 19 | 20 | 19 | 17 | 13 | 7 |
10 | 16 | 21 | 23 | 25 | 25 | 25 | 22 | 17 | 9 |
11 | 18 | 23 | 26 | 28 | 28 | 28 | 25 | 19 | 10 |
11 | 19 | 25 | 28 | 29 | 30 | 30 | 27 | 20 | 11 |
11 | 20 | 25 | 29 | 31 | 31 | 31 | 27 | 21 | 11 |
11 | 19 | 26 | 33 | 34 | 33 | 31 | 28 | 20 | 10 |
10 | 20 | 33 | 46 | 42 | 36 | 31 | 26 | 18 | 9 |
9 | 24 | 48 | 80 | 56 | 38 | 28 | 21 | 14 | 7 |
7 | 22 | 61 | 174 | 65 | 30 | 18 | 12 | 7 | 4 |
Temperature in field 8x2 after 113 iterations: