Struggling with the Boltzmann Collision Term?

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Tempa
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Hello,

I'm working of the Boltzmann equation to simulate a partially ionized plasma, but I'm having troubles to solve the collision term. I'm using a splitting technique for the advection in the phase-space, but I'm quite stuck in the collision term. Any recommendations?
 
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If you are still interested in this problem maybe I could help. I have spent the last few weeks working with the Boltzmann and fokker-planck collision operators. I take from your question that you are solving the collisional Boltzmann equation and are having a hard time numerically solving the collision term? Maybe with a few more details on what it is that you are doing I could provide some suggestion.

In what way do you mean "splitting"? I have some ideas but I am not positive.