Double integration in matlab

Hii Friends,

I am switching over form mathcad to matlab for performing double integrals.

In mathcad it was quite easy as there was no need of any syntax. I would like to implement it in matlab also.

Could you throw me an hint on how to solve the following kind of equations.

I need to evaluate this integral for certain value of z.

Could you give me hint regarding this.

Thanking you.

Pavan

Answer 1

[Torsten]

Use MATLAB's "int" twice:

syms a x1 y1 x y z lambda
f = exp(-(x1^2+x2^2)/a^2)*exp(1I*pi/(lambda*z)*((x-x1)^2+(y-y1)^2));
E = int(int(f,x1,-3*a,3*a),x2,-3*a,3*a)

Alternatively:

syms a x1 y1 x y z lambda
f1 = exp(-x1^2/a^2+1I*pi/(lambda*z)*(x-x1)^2);
f2 = exp(-y1^2/a^2+1I*pi/(lambda*z)*(y-y1)^2);
E = int(f1,x1,-3*a,3*a)*int(f2,x2,-3*a,3*a)

Best wishes

Torsten.

[Pavan Kumar]

Thanks a lot Torsten....

Answer 2

[Swetha]

f=4*x*y

E= int(f,×1,0,1)*int(f2,×2,0,2)