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A double integration of the tabulated data.

version 1.0.0.0 (524 Bytes) by Robertas balevicius
A double integration of the tabulated data.

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Updated 12 Jan 2007

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A double integration of the tabulated data. f(x,y) may be generated in terms of meshgrid. Double integral computes simply by approximation of the integral for f(x,y) via the trapezoidal method.
Firstly, an integration loop within inner integral over X is performed obtaining the function of area A(y). Secondly, outer loop integration is performed for A(y) over y limits
Example:
Q = dblquad(inline('y*sin(x)+x*cos(y)'), pi, 2*pi, 0, pi);
Q = -9.8696
[X,Y] = meshgrid(pi:pi/100:2*pi, 0:pi/100:pi );
Z=Y.*sin(X)+X.*cos(Y);
int_2D_tabulated(X,Y, Z )
ans = -9.8688

Cite As

Robertas balevicius (2021). A double integration of the tabulated data. (https://www.mathworks.com/matlabcentral/fileexchange/13644-a-double-integration-of-the-tabulated-data), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R13
Compatible with any release
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