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Article information
1999 , Volume 4, ¹ 1, p.55-65
Zverev V.G.
An iterative algorithm for the solution of difference elliptical equations
Within the framework of a scalar technology of the alternating direction method an iterative algorithm for the solution of difference elliptical equations is offered. It is based on the using of two-point recurrence relation coefficients to calculating the influence of the adjacent nodes and therefore the boundary condition along the direction transverse to the grid line. The test elliptic problems show the high effectiveness of the algorithm, comparison with other methods iscarried out.
[full text] Classificator Msc2000:- *35J25 Boundary value problems for second-order, elliptic equations
- 65F10 Iterative methods for linear systems
- 65N06 Finite difference methods
Classificator Computer Science:- *G.1.3 Numerical Linear Algebra
- G.1.8 Partial Differential Equations
Keywords: iterative algorithm, elliptic equation, alternating direction method, finite-difference method
Author(s):
Zverev Valentin Georgievich
Office: Tomsk State University
Address: 634029, Russia, Tomsk
Phone Office: (3822) 52 96 69
E-mail: zverev@ntipsnm.tsu.ru
Bibliography link:
Zverev V.G. An iterative algorithm for the solution of difference elliptical equations // Computational technologies. 1999. V. 4. ¹ 1. P. 55-65
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