ITERATION APPROACH FOR SOLVING THE INHOMOGENEOUS BOLTZMANN EQUATION

Abstract

The iteration approach consists of applying Numerical Monte Carlo methods for calculation of linear functional of iterated functions to an integral form of the Boltz‐mann Equation. It has been successfully used for the time‐dependent homogeneous case. The same approach, we present in this paper, can be applied for the inhomo‐geneous case, important from practical point of view. Application of the iteration approach in the particular case of obtaining the Ensemble Monte Carlo algorithm is shown.

Citation

VITANOV, P. and NEDJALKOV, M. (1991), "ITERATION APPROACH FOR SOLVING THE INHOMOGENEOUS BOLTZMANN EQUATION", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 10 No. 4, pp. 531-538. https://doi.org/10.1108/eb051727