Question about converting integral formula to matlab code

I'm trying to code an integral formula as a sum of discrete data.

That seems correct, but the result is different.

Please let me know if there are any changes to my code.

Please let me know if there is a new way.

The code I made is below.

~~~~~~~~~~~~~~~~~~~~

for r = 1:M

for p = 1:N

for f0 = 1:M0

for p0 = 1:N0-1

PSI(r,p) = PSI(r,p)+...

(1/(pi^2*Rho0^2))*...

K0(f0)*...

d_K0*d_Phi0_rad*...

U(f0,p0)*...

(Rho0*(Rho0-Rho(r)*cos(Phi_rad(p)-Phi0_rad(p0)))/(Rho0^2-2*Rho0*Rho(r)*cos(Phi_rad(p)-Phi0_rad(p0))+Rho(r)^2))*...

(norm([Rho(r)*cos(Phi_rad(p)) Rho(r)*sin(Phi_rad(p))]-[Rho0*cos(Phi0_rad(p0)) Rho0*sin(Phi0_rad(p0))])^2)*...

(exp(2*1i*K0(f0)*((norm([Rho(r)*cos(Phi_rad(p)) Rho(r)*sin(Phi_rad(p))]-[Rho0*cos(Phi0_rad(p0)) Rho0*sin(Phi0_rad(p0))]))-Rho0)));

end

end

end

end

[Torsten]

Any reason why you don't use "integral2" ?

[형준 이]

I didn't know such code existed...

[Torsten]

I think you should set up your problem for the use with "integral2".

[형준 이]

I thought about it, but it seems wrong to use that code.

Because U(f,pi) in term 4 is discrete matrix data of M0 by N0.

Therefore, U(f,pi) cannot be substituted into the corresponding code.

"integral2(fun,xmin,xmax,ymin,ymax)"

[형준 이]

And, I missed that the result of the integral is not a specific value, but the N by M matrix data. * PIS(rho,phi)

[Star Strider]

It may be necessary to use integral iteratively with the 'ArrayValued' flag set if you are integrating an array. Check the inner integral before calculating the outer integral to be certain that it is doing what you want.