Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 3°C. We apply continuously 76°C heat to the field 0x2
What is the temperature (rounded to whole numbers) in the field 4x6 after 30 iterations according to the Gauss-Seidel iteration
Field in the beginning
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
Field after 4 iterations (rounded after 4th iteration)
9 | 9 | 6 | 3 | 2 | 1 | 1 | 1 | 1 | 0 |
33 | 23 | 13 | 7 | 4 | 3 | 2 | 2 | 1 | 1 |
102 | 42 | 19 | 10 | 6 | 4 | 3 | 2 | 2 | 1 |
35 | 26 | 16 | 9 | 6 | 4 | 3 | 3 | 2 | 1 |
13 | 14 | 10 | 7 | 5 | 4 | 3 | 3 | 2 | 1 |
6 | 7 | 7 | 6 | 4 | 4 | 3 | 3 | 2 | 1 |
3 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 2 | 1 |
2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 2 | 1 |
1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
Temperature in field 4x6 after 30 iterations: