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Coefficient Form PDE: Solving boundary problem with Bessel differential equation

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Hello!

I'm trying to solve a 1D boundary problem using Coefficient form PDE interface. Derivatives are taken with respect to "x".
There is a Bessel equation y'' + y'/x + y = 0, defined on [0;2.405].
Boundary conditions are y'(0) = 0, y(0) = 1.
Condition for the second boundary is not specified (zero flux is overwritten by Dirichlet condition without prescribed value).
Solution of that equation should be Bessel function of the first kind J_0 (x) being zero at x = 2.405.

I rewrote the equation in different ways, varied interval and mesh size... but didn't succeed.
What would you advise me to do with that kind of a problem?

Thanks in advance!



0 Replies Last Post 27 mars 2017, 15:56 UTC−4
COMSOL Moderator

Hello Evgeny Petrov

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