Double & Triple Integration with tabular data
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Hi
The function dblquad(fun, xmin, xmax, ymin, ymax, tol) can be used for double integration over x and y if the function is known, Similarly for 3D integration the function triplequad(..) can be used.
If, however, I have the x and y data in tabular form (eg. experimental points), what are the MATLAB functions for the double and triple integrations ?
Thanks in advance
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Roger Stafford
2014-11-6
编辑：Roger Stafford
2014-11-6
You can use Matlab's 'trapz' successively for this purpose. The easiest case is integrating over a rectangular region in (x,y) - that is, where the tabular data, T(x,y), is defined over a rectangular mesh of (x,y) values. Let x and y be vectors of the (x,y) values along the two edges of the rectangular table.
[X,Y] = meshgrid(x,y);
T = (The array of tabular values corresponding to X and Y)
I = trapz(y,trapz(x,T,2)); % <-- The double integral
You should realize that the accuracy of this method is limited by how closely-spaced the x and y values are in the rectangle. For higher order integration than the trapezoidal method there are some algorithms given in the MatLab File Exchange.
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