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I need to solve a system of linear first order ODEs with boundary conditions in JAVA. I was wondering if any of you know of a JAVA package with the capability of solving a boundary value problems? (i.e. a solver using finite differences or finite elements)

The type of equation I want to solve is of the following type: $$ n''(x) = -D(x)n(x) + n'(x)/x \\ n'(0) = 0 \\ n(1) = 0 $$ Through substitution this equation can be transformed into two first order differential equations.

I know there is the ode solver of Apache commons but it can only solve initial value problems. I have also read about the numerical methods but would preferably use existing code.

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    $\begingroup$ Side question: why do you want to use JAVA? $\endgroup$
    – VoB
    May 28, 2021 at 12:38
  • $\begingroup$ I am implementing a module in an already existing code which is written in JAVA. I tested and solved my problem in python using scipy and now I want to port this to JAVA. $\endgroup$
    – bluesky
    May 28, 2021 at 12:40
  • $\begingroup$ If you have a working version in scipy, you could use it through Jython with the Jython Native Interface. $\endgroup$
    – Tyberius
    May 28, 2021 at 16:58
  • $\begingroup$ If you have access to an initial value solver you could use the shooting method. $\endgroup$
    – nicoguaro ♦
    May 28, 2021 at 17:08
  • $\begingroup$ Thank you for comments I will try these ideas! $\endgroup$
    – bluesky
    May 31, 2021 at 7:45

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