that can be used to find the approximate rate of change.
dy/ dx = (y1 - yo)/ h
or dy/dx = (yn+1 - yn-1) / 2h
Is there one that is better than the other?
Why is one preferable over the other? and which one is better to use?
2007-10-24 04:39:04 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Can you please give an example of when and why one formula is preferable over the other?
2007-10-24 04:51:22 · update #1
as they are both approximations... each has its own strength and weakness... it really depends on the expected orientation of the curve... any of this approximation would be okay...
i guess ... the first one... its seeming advantage too is its small increment.. it more closely resembles the rate of change.
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2007-10-24 04:46:29 · answer #1 · answered by Alam Ko Iyan 7 · 2⤊ 0⤋
Sometimes it is not possible to have the two points on either side of y(n), like the boundary. So you cannot use the second eq.
If you draw a curve and you can see the slopes calculated from the two eq are not the same until h->0
2007-10-24 11:47:19 · answer #2 · answered by norman 7 · 1⤊ 0⤋