zeros of Bessel functions

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David
David 2015-7-22
评论： Chris 2022-7-9
Has anyone posted an m-file which computes the zeros of bessel functions, J_n and Y_n?

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Steven Lord
Steven Lord 2015-7-22
Why not just use FZERO?
zroot = fzero(@(z) besselj(1, z), 3)
besselj(1, zroot) % Should be small
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Pierrick HAMEL
Pierrick HAMEL 2019-10-31
编辑：Pierrick HAMEL 2019-10-31
I added a guess for the ith zero of the bessel function of order n
for n =0:5
for i=1:6
guess = 2.5505 + 1.2474*n + (i-1)*pi;
Liste_zeros_Bessel(i,n+1) = fzero(@(z) besselj(n, z),guess);
end
end

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Mostafa Nakhaei
Mostafa Nakhaei 2019-5-30
The above answer only calculates one zero. However, in most cases, more than one zero is needed.
There are several m.file for finding the zeros of bessel function that U include in here:
https://www.mathworks.com/matlabcentral/fileexchange/48403-bessel-zero-solver
https://www.mathworks.com/matlabcentral/fileexchange/6794-bessel-function-zeros
Thanks
Mostafa

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