Expressing the differences in terms of ordinates defined by (7.7) in (7.3) and collecting the coefficients of equal ordinates, the Adams- Bashforth formula appears in the form
 |
(7.8) |
where the coefficients  are given by
It should be noted that the coefficients depend on  as well as  , which makes it more difficult to change the number of differences employed. Some numerical values of the coefficients are given as under:
|
0 |
1 |
2 |
3 |
4 |
5 |
|
1 |
|
|
|
|
|
|
3 |
-1 |
|
|
|
|
|
23 |
-16 |
5 |
|
|
|
|
55 |
-59 |
37 |
-9 |
|
|
|
1901 |
-2774 |
2616 |
-1274 |
251 |
|
|
4227 |
-7673 |
9482 |
-6798 |
-2627 |
-425 |
|
The numerically large values of the coefficients and the alternating signs are a disadvantage of the method.
|
