Abstract
In this paper a modification of implicit 2D «α-β» iterative algorithm is considered. After this method is applied to numerical solving of anisotropic parabolic equation with boundary conditions of third kind. In modification a new factors as time dependence, normal derivative and diffusive matrix took into account. This factors change a structure of well known algorithm significantly. To improve a performance of constructed iterative method the boundary conditions are approximated by the second order finite differential space scheme. Algorithm was written in a matrix form. The convergence and stability of this iterative process are proved.
| Original language | English |
|---|---|
| Title of host publication | 8th Korea-Russia International Symposium on Science and Technology - Proceedings: KORUS 2004 |
| Pages | 146-148 |
| Number of pages | 3 |
| Volume | 2 |
| Publication status | Published - 2004 |
| Event | 8th Korea-Russia International Symposium on Science and Technology, KORUS 2004 - Tomsk, Russian Federation Duration: 26 Jun 2004 → 3 Jul 2004 |
Other
| Other | 8th Korea-Russia International Symposium on Science and Technology, KORUS 2004 |
|---|---|
| Country | Russian Federation |
| City | Tomsk |
| Period | 26.6.04 → 3.7.04 |
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Keywords
- Anisotropic materials
- Iterative algorithms
- Parabolic equations in partial derivations
ASJC Scopus subject areas
- Engineering(all)
Cite this
A high perfomance iterative algorithm of solving 2D parabolic equations. / Kritski, Oleg L.
8th Korea-Russia International Symposium on Science and Technology - Proceedings: KORUS 2004. Vol. 2 2004. p. 146-148.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - A high perfomance iterative algorithm of solving 2D parabolic equations
AU - Kritski, Oleg L.
PY - 2004
Y1 - 2004
N2 - In this paper a modification of implicit 2D «α-β» iterative algorithm is considered. After this method is applied to numerical solving of anisotropic parabolic equation with boundary conditions of third kind. In modification a new factors as time dependence, normal derivative and diffusive matrix took into account. This factors change a structure of well known algorithm significantly. To improve a performance of constructed iterative method the boundary conditions are approximated by the second order finite differential space scheme. Algorithm was written in a matrix form. The convergence and stability of this iterative process are proved.
AB - In this paper a modification of implicit 2D «α-β» iterative algorithm is considered. After this method is applied to numerical solving of anisotropic parabolic equation with boundary conditions of third kind. In modification a new factors as time dependence, normal derivative and diffusive matrix took into account. This factors change a structure of well known algorithm significantly. To improve a performance of constructed iterative method the boundary conditions are approximated by the second order finite differential space scheme. Algorithm was written in a matrix form. The convergence and stability of this iterative process are proved.
KW - Anisotropic materials
KW - Iterative algorithms
KW - Parabolic equations in partial derivations
UR - http://www.scopus.com/inward/record.url?scp=29144475021&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=29144475021&partnerID=8YFLogxK
M3 - Conference contribution
SN - 0780383834
SN - 9780780383838
VL - 2
SP - 146
EP - 148
BT - 8th Korea-Russia International Symposium on Science and Technology - Proceedings: KORUS 2004
ER -