Adams-Bashforth Method in terms of Ordinates :
Now if we assume that , w here is a constant and is an integer, and write . Then, the first backward difference of the function at the point is defined by
![](Images/image013.png)
Higher backward differences are defined by
, so that for instance
![](Images/image017.png)
![](Images/image019.png)
![](Images/image021.png)
![](Images/image023.png)
If we also put . One can easily verify by induction that
![](Images/image027.png) |
(7.7) |
where denotes the binomial coefficient
![](Images/image031.png)
![](19_2_clip_image002.gif)
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