I intended to solve the free vibration of a circular plate's fourth-order partial differential problem analytically. There are several research publications in the open literature that provide analytical answers for the free vibration of circular plates.
Researchers/academics, on the other hand, employed the modified and first kind Bessel function to determine the natural frequencies of circular plates. They just wrote the notations for the Bessels function and a few formulae. However, they did not describe how to get the value of that Bessel function in order to obtain the eigenvalues in a single publication.
Can anyone offer any materials that would help me learn how to compute the value of the Bessel Function?
The solutions (zeros) of Bessel functions of all types, and their derivatives, are available in published tables in books and on the internet. Look for tables of Bessel functions, or Bessel function zeros. Reading around the subject you can find out which ones to use and how.
Dear Sir,
I suggest the MATLAB software for you. Everything that you want to recall in Bessel function can be obtained from the following matlab function:
J = besselj(nu,Z)
OR
J = besselj(nu,Z,scale)
For more information, follow the following link:
https://www.mathworks.com/help/matlab/ref/besselj.html
see
1-Laplace's method on a computer algebra system with an application to the real valued modified Bessel functions
Bruce R. Fabijonas
Journal:
Journal of Computational and Applied Mathematics
Year:
2002
2-Formulas for computation of approximate values of some Bessel functions
Waldron, R.A.
Journal:
Proceedings of the IEEE
Year:
1981
3-Comments on "Formulas for computation of approximate values of some Bessel functions"
Grau, G.
Journal:
Proceedings of the IEEE
Year:
1982
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