zeros of Bessel functions

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

Réponse acceptée

Steven Lord
Steven Lord le 22 Juil 2015
Why not just use FZERO?
zroot = fzero(@(z) besselj(1, z), 3)
besselj(1, zroot) % Should be small
  1 commentaire
Pierrick HAMEL
Pierrick HAMEL le 31 Oct 2019
Modifié(e) : Pierrick HAMEL le 31 Oct 2019
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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Plus de réponses (1)

Mostafa Nakhaei
Mostafa Nakhaei le 30 Mai 2019
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:
Thanks
Mostafa
  1 commentaire
Chris
Chris le 9 Juil 2022
Quite useful. Thank you!

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