The Dirichlet problem successive upper relaxation numerical method convergence relaxation parameters influence investigations

Authors

  • A.P. Oliynyk Ivano-Frankivsk National Technical University of Oil and Gas, 15 Karpatska str., 76019, Ivano-Frankivsk, Ukraine
  • L.O. Shtayer Ivano-Frankivsk National Technical University of Oil and Gas, 15 Karpatska str., 76019, Ivano-Frankivsk, Ukraine

Keywords:

the Dirichlet problem, iterational method, relaxation parameter, determinant of $n^{\rm th}$ order
Published online: 2012-12-27

Abstract

The relaxation parameters values to definite sequential upper relaxation block method convergence optimal velocity have been determined for the Dirichlet's problem in two-dimensional rectangle spatial region, the iteration procedure convergence and positive definiteness of the corresponding linear algebraic equations system matrix have been proved.

How to Cite
(1)
Oliynyk, A.; Shtayer, L. The Dirichlet Problem Successive Upper Relaxation Numerical Method Convergence Relaxation Parameters Influence Investigations. Carpathian Math. Publ. 2012, 4, 289-296.