A high performance iterative algorithm of solving 2D parabolic equations

Author

Kritski, Oleg L.

Author_Institution

Dept. of Higher Math. & Math. Phys., Tomsk Polytech. Univ.

Volume

2

fYear

2004

fDate

June 26 2004-July 3 2004

Firstpage

146

Abstract

In this paper a modification of implicit 2D (alpha-beta) iterative algorithm is considered. After this method is applied to numerical solving of anisotropic parabolic equation with boundary conditions of the third kind. In modifying 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 the performance of a constructed iterative method the boundary conditions are approximated by the second order finite differential space scheme. The algorithm was written in a matrix form. The convergence and stability of this iterative process are proven

Keywords

iterative methods; matrix algebra; numerical stability; parabolic equations; anisotropic parabolic equation; diffusive matrix; high performance iterative algorithm; normal derivative; second order finite differential space scheme; time dependence; Anisotropic magnetoresistance; Boundary conditions; Convergence; Differential equations; Iterative algorithms; Iterative methods; Physics; Stability; Temperature; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Science and Technology, 2004. KORUS 2004. Proceedings. The 8th Russian-Korean International Symposium on

Conference_Location

Tomsk

Print_ISBN

0-7803-8383-4

Type

conf

DOI

10.1109/KORUS.2004.1555572

Filename

1555572