How to Integrate a matrix using 'dblquad'

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Temesgen Gelaw 2015-6-3

关闭： MATLAB Answer Bot 2021-8-20

For example, I have tried as the following:

syms x y;

Let u(x,y)= x.*exp(x+y), be the exact function.

fun = inline('x.*exp(x+y)','x','y');

funx = inline('(1+x).*exp(x+y)','x','y');

funy = inline('x.*exp(x+y)','x','y');

UE = feval(fun,x,y);

UEX = feval(funx,x,y);

UEY = feval(funy,x,y);

% function z = integrand(x,y,UEX,UEY,Ax,Ay);

Let A= [ -1.0000 -0.7500 ; -1.0000 -0.7503], be a 2x2 matrix

 Let [Ax,Ay] = gradient(A,0.25,0.25), be gradient of A w.r.t 'x' and 'y' and h = 0.25 
 z = (UEX - Ax).^2 + (UEY - Ay).^2;

Then I use dblquad to integrate 'z' as follows:

Q = dblquad(@(x,y)z,-1,-0.75,-1,-0.75,10^(-6));

where xmin=-1, xmax=-0.75 , ymin = -1, ymax=-0.75.

but the following error occurred.

Error using dblquad>innerintegral (line 79) Inputs must be floats, namely single or double.

Error in quad (line 72) y = f(x, varargin{:});

Error in dblquad (line 58) Q = quadf(@innerintegral, ymin, ymax, tol, trace, intfcn, ...

Is there any one who can help me to integrate a matrix with 'dblquad'?

Thank you for everything !

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