Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 38°C. We apply continuously 194°C heat to the field 6x2
What is the temperature (rounded to whole numbers) in the field 1x5 after 98 iterations according to the Gauss-Seidel iteration
Field in the beginning
38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 | 38 |
Field after 4 iterations (rounded after 4th iteration)
5 | 9 | 11 | 12 | 17 | 31 | 45 | 36 | 23 | 11 |
9 | 15 | 19 | 24 | 41 | 79 | 131 | 87 | 49 | 22 |
11 | 19 | 25 | 35 | 63 | 138 | 331 | 146 | 71 | 30 |
12 | 21 | 28 | 37 | 59 | 101 | 153 | 107 | 63 | 29 |
13 | 22 | 29 | 37 | 50 | 70 | 86 | 73 | 49 | 25 |
13 | 23 | 29 | 35 | 43 | 52 | 58 | 53 | 38 | 20 |
13 | 22 | 29 | 33 | 38 | 42 | 45 | 41 | 31 | 16 |
11 | 20 | 25 | 29 | 32 | 35 | 35 | 32 | 24 | 12 |
9 | 15 | 19 | 22 | 24 | 25 | 25 | 22 | 16 | 8 |
4 | 8 | 10 | 11 | 12 | 13 | 13 | 11 | 8 | 4 |
Temperature in field 1x5 after 98 iterations: