Computes an n-point central difference of function f with spacing h.
Returns a vector df of same size as f.
Input f must be a vector with evenly spaced points.
Input n must be 3,5,7, or 9.
Differences for points near the edges are calculated with lower order.
For example, if n=5 and length(f)=10, then 3-point central differencing is used to calculate values at points 2 and 9, 2-point forward differencing is used for point 1, 2-point backward differencing is used for point 10, and 5-point central differencing is used for points 3-7.
Differencing formulae from: http://www.holoborodko.com/pavel/numerical-methods/numerical-derivative/central-differences/ Accessed 4/10/12.
引用
James (2024). N-Point Central Differencing (https://www.mathworks.com/matlabcentral/fileexchange/36123-n-point-central-differencing), MATLAB Central File Exchange. 取得済み .
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ヒントを与えたファイル: central_diff2(y,deltat,d,a)
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