Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 30°C. We apply continuously 117°C heat to the field 8x1
What is the temperature (rounded to whole numbers) in the field 8x6 after 98 iterations according to the Gauss-Seidel iteration
Field in the beginning
30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
Field after 4 iterations (rounded after 4th iteration)
4 | 7 | 9 | 10 | 10 | 12 | 20 | 39 | 63 | 32 |
7 | 12 | 15 | 17 | 18 | 22 | 38 | 79 | 189 | 66 |
9 | 15 | 19 | 21 | 23 | 27 | 39 | 60 | 84 | 44 |
10 | 17 | 21 | 24 | 26 | 29 | 35 | 43 | 46 | 27 |
10 | 17 | 22 | 25 | 27 | 29 | 32 | 34 | 31 | 18 |
10 | 18 | 23 | 26 | 27 | 29 | 30 | 29 | 24 | 14 |
10 | 17 | 22 | 25 | 27 | 28 | 28 | 26 | 20 | 11 |
9 | 16 | 20 | 23 | 24 | 25 | 25 | 22 | 17 | 9 |
7 | 12 | 15 | 17 | 18 | 19 | 18 | 16 | 12 | 6 |
4 | 6 | 8 | 9 | 10 | 10 | 9 | 8 | 6 | 3 |
Temperature in field 8x6 after 98 iterations: