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 | |
| 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 |
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ASJC Scopus subject areas
- Engineering(all)
Cite this
Numerical determination of Frequency distribution function for 2d fokker-planck equation. / Kritski, O. L.
Proceedings - 9th Russian-Korean International Symposium on Science and Technology, KORUS-2005. Vol. 1 2005. p. 72-75 1507646.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Numerical determination of Frequency distribution function for 2d fokker-planck equation
AU - Kritski, O. L.
PY - 2005
Y1 - 2005
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=33746139409&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33746139409&partnerID=8YFLogxK
U2 - 10.1109/KORUS.2005.1507646
DO - 10.1109/KORUS.2005.1507646
M3 - Conference contribution
AN - SCOPUS:33746139409
SN - 0780389433
SN - 9780780389434
VL - 1
SP - 72
EP - 75
BT - Proceedings - 9th Russian-Korean International Symposium on Science and Technology, KORUS-2005
ER -