How can you solve a system of second order differential equation, which is not time, but length and radius dependent?

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I thnik it cannot be solved by some prebuild ode integrator, like ode45. I tried using 'for loop', but I don't know, how to solve a second order diff.eq. with for cycle. Here is the example I try to model. (Also if you can help me out with the programing of the initial and boundary conditions I would be very glad :) )

Accepted Answer

Fabio Freschi
Fabio Freschi on 16 Sep 2021
This is not an ODE but a PDE. you should have a look at pdepe

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