A high perfomance iterative algorithm of solving 2D parabolic equations

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

Keywords

Anisotropic materials
Iterative algorithms
Parabolic equations in partial derivations

ASJC Scopus subject areas

Engineering(all)

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title = "A high perfomance iterative algorithm of solving 2D parabolic equations",

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.",

keywords = "Anisotropic materials, Iterative algorithms, Parabolic equations in partial derivations",

author = "Kritski, {Oleg L.}",

year = "2004",

language = "English",

isbn = "0780383834",

volume = "2",

pages = "146--148",

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note = "8th Korea-Russia International Symposium on Science and Technology, KORUS 2004 ; Conference date: 26-06-2004 Through 03-07-2004",

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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

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T2 - 8th Korea-Russia International Symposium on Science and Technology, KORUS 2004

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