File Exchange

image thumbnail

central_diff.m

version 2.0.0.0 (4.12 KB) by Robert Canfield
Calculates numeric gradient using second-order difference formula for unevenly spaced data

18 Downloads

Updated 01 Oct 2015

View License

Editor's Note: This file was selected as MATLAB Central Pick of the Week

The central_diff function calculates a numeric gradient using second-order accurate difference formula for evenly or unevenly spaced coordinate data. It operates in a similar fashion to the MATLAB function, gradient, except that it permits only one independent variable, x, and correctly handles unevenly spaced values of the x-coordinate data. Accuracy is increased at the ends relative to the MATLAB gradient function, which uses only first-order forward or backward differences at the ends, by instead using second-order forward difference at the left end and second-order backward difference at the right end.

Cite As

Robert Canfield (2020). central_diff.m (https://www.mathworks.com/matlabcentral/fileexchange/12-central_diff-m), MATLAB Central File Exchange. Retrieved .

Comments and Ratings (3)

Alvaro Valcarce

I think that line 98 should be (notice the "=" sign)

if n >= 3

to account for the case of length 3 vectors.

Shyang-Wen Tseng

This is a very good and usefull add-on function. Thank you.

godlove njie teku

Updates

2.0.0.0

Second-order accurate forward and backward difference formulae are used now at the left and right ends, instead of first-order forward/backward differences at the ends. Logical operators & and | were replaced with && and ||, respectively.

updating

updating description

updating description

update description

update description

description

MATLAB Release Compatibility
Created with R2015b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Tags Add Tags
Acknowledgements

Inspired: central_diff2(y,deltat,d,a), DGradient