Solving the integral with Bessel function

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Urszula Zuchowicz
评论： Torsten 2018-1-8
I'm trying to solve the integral of variable x (from 0 to Inf) which is the function of variable S. I want to solve this integral and find the vector of results dependent on variable S. integral
I want to then approximate this function by polyfit (to have a function E(S))
Unfortunately, the MATBAL calculates only NaN number. It isvery important for me.. Please, help.
nu=0; int_val=zeros([255,1]);
for i=1:255
S=i/10;
%besselj(0,S*2)
fun = @(x)log(abs(x-(pi/2)^2.*(-S.^2/2))).*x.*exp((x.^2+S.^2)/2).*besselj(nu,S.*x);
int_val(i) = integral(fun,0,Inf);
end

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