Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 5°C. We apply continuously 168°C heat to the field 9x2
What is the temperature (rounded to whole numbers) in the field 5x8 after 37 iterations according to the Gauss-Seidel iteration
Field in the beginning
5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
Field after 4 iterations (rounded after 4th iteration)
1 | 1 | 1 | 2 | 2 | 2 | 2 | 5 | 15 | 20 |
1 | 2 | 2 | 3 | 3 | 3 | 6 | 18 | 44 | 72 |
1 | 2 | 3 | 4 | 4 | 4 | 10 | 31 | 86 | 226 |
2 | 3 | 4 | 4 | 4 | 5 | 10 | 25 | 52 | 76 |
2 | 3 | 4 | 4 | 4 | 5 | 8 | 16 | 26 | 28 |
2 | 3 | 4 | 4 | 5 | 5 | 7 | 10 | 13 | 12 |
2 | 3 | 4 | 4 | 4 | 5 | 6 | 7 | 7 | 5 |
2 | 3 | 3 | 4 | 4 | 4 | 4 | 5 | 4 | 3 |
1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 2 |
1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 1 | 1 |
Temperature in field 5x8 after 37 iterations: