Numerical determination of Frequency distribution function for 2d fokker-planck equation

Abstract

In this paper a numerical determination of frequency distribution function for Fokker-Planck equation is considered. To do this, the new iterative method was constructed and applied to the parabolic equation with boundary conditions of first kind (at least one particle reaching the frontier of domain). The strength and powerful of proposed method are that the new factors as time dependence and fluctuation matrix took into account. These factors change the structure of numerical algorithm significantly. Algorithm is written in a matrix form. The theorem proving the convergence and stability of iterative process is put in.

Original language	English
Title of host publication	Proceedings - 9th Russian-Korean International Symposium on Science and Technology, KORUS-2005
Pages	72-75
Number of pages	4
Volume	1
DOIs	https://doi.org/10.1109/KORUS.2005.1507646
Publication status	Published - 2005
Event	9th Russian-Korean International Symposium on Science and Technology, KORUS-2005 - Novosibirsk, Russian Federation Duration: 26 Jun 2005 → 2 Jul 2005

Other

Other	9th Russian-Korean International Symposium on Science and Technology, KORUS-2005
Country	Russian Federation
City	Novosibirsk
Period	26.6.05 → 2.7.05

ASJC Scopus subject areas

Engineering(all)

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10.1109/KORUS.2005.1507646

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Kritski, OL 2005, Numerical determination of Frequency distribution function for 2d fokker-planck equation. in Proceedings - 9th Russian-Korean International Symposium on Science and Technology, KORUS-2005. vol. 1, 1507646, pp. 72-75, 9th Russian-Korean International Symposium on Science and Technology, KORUS-2005, Novosibirsk, Russian Federation, 26.6.05. https://doi.org/10.1109/KORUS.2005.1507646

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AB - In this paper a numerical determination of frequency distribution function for Fokker-Planck equation is considered. To do this, the new iterative method was constructed and applied to the parabolic equation with boundary conditions of first kind (at least one particle reaching the frontier of domain). The strength and powerful of proposed method are that the new factors as time dependence and fluctuation matrix took into account. These factors change the structure of numerical algorithm significantly. Algorithm is written in a matrix form. The theorem proving the convergence and stability of iterative process is put in.

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