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.
Robert Canfield (2024). central_diff.m (https://www.mathworks.com/matlabcentral/fileexchange/12-central_diff-m), MATLAB Central File Exchange. Retrieved .
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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.