Abstract
We define an iterative scheme to solve the nonlinear Boltzmann equation. Conservation rules are maintained at each iterative step. We apply this method to a spatially uniform and isotropic velocity distribution function on the Maxwell and very-hard-particle models. A particular example is evaluated and results are compared with the exact solution. It shows to be a very fast convergent approach.
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Fujii, D.H., Barrachina, R.O. & Garibotti, C.R. Iterative solution of the Boltzmann equation. J Stat Phys 44, 95–106 (1986). https://doi.org/10.1007/BF01010906
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DOI: https://doi.org/10.1007/BF01010906