Order of standard scheme | Minimum number of grid points required (k = n + 1) | Number of possible standard schemes when
| Number of possible standard schemes when |
First-order (n = 1) | 2 | C(5,2) = 10 | C(1,1).C(4,1) = 4 |
Second-order (n = 2) | 3 | C(5,3) = 10 | C(1,1).C(4,2) = 6 |
Third-order (n = 3) | 4 | C(5,4) = 5 | C(1,1).C(4,3) = 4 |
Fourth order (n = 4) | 5 | C(5,5) = 1 | C(1,1).C(4,4) = 1 |