Problem 46012. Find the zeros of the Bessel function of the first kind

Bessel functions are important in many problems in mathematical physics--especially those with circular symmetry. Examples include the vibrations of a circular membrane and conduction of heat in a cylinder. Solving such problems usually requires finding the zeros of the Bessel functions and their derivatives. Like sine and cosine, the Bessel function of the first kind oscillates--as in the figure below. However, its zeros are not as easily predicted.
Find the kth zero of the Bessel function of the first kind of order ν and its derivative. For Bessel functions with ν > 0, skip the zero at z = 0. For the derivative of the Bessel function of order ν = 0, start counting with the zero at z = 0.

Solution Stats

16.67% Correct | 83.33% Incorrect
Last Solution submitted on Jun 08, 2023

Solution Comments

Show comments

Problem Recent Solvers4

Suggested Problems

More from this Author265

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!