A high perfomance iterative algorithm of solving 2D parabolic equations

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publication8th Korea-Russia International Symposium on Science and Technology - Proceedings: KORUS 2004
Pages146-148
Number of pages3
Volume2
Publication statusPublished - 2004
Event8th Korea-Russia International Symposium on Science and Technology, KORUS 2004 - Tomsk, Russian Federation
Duration: 26 Jun 20043 Jul 2004

Other

Other8th Korea-Russia International Symposium on Science and Technology, KORUS 2004
CountryRussian Federation
CityTomsk
Period26.6.043.7.04

Fingerprint

Boundary conditions
Iterative methods
Derivatives

Keywords

  • Anisotropic materials
  • Iterative algorithms
  • Parabolic equations in partial derivations

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Kritski, O. L. (2004). A high perfomance iterative algorithm of solving 2D parabolic equations. In 8th Korea-Russia International Symposium on Science and Technology - Proceedings: KORUS 2004 (Vol. 2, pp. 146-148)

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 proceedingConference contribution

Kritski, OL 2004, A high perfomance iterative algorithm of solving 2D parabolic equations. in 8th Korea-Russia International Symposium on Science and Technology - Proceedings: KORUS 2004. vol. 2, pp. 146-148, 8th Korea-Russia International Symposium on Science and Technology, KORUS 2004, Tomsk, Russian Federation, 26.6.04.
Kritski OL. A high perfomance iterative algorithm of solving 2D parabolic equations. In 8th Korea-Russia International Symposium on Science and Technology - Proceedings: KORUS 2004. Vol. 2. 2004. p. 146-148
Kritski, Oleg L. / A high perfomance iterative algorithm of solving 2D parabolic equations. 8th Korea-Russia International Symposium on Science and Technology - Proceedings: KORUS 2004. Vol. 2 2004. pp. 146-148
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