VARIATION-DIFFERENCE SCHEMES ON COORDINATE CONDENSED	GRIDS FOR BIHARMONIK EQUATION

Ye. G. Dadayan

doi:10.46991/PYSU:A/2006.40.1.029

VARIATION-DIFFERENCE SCHEMES ON COORDINATE CONDENSED GRIDS FOR BIHARMONIK EQUATION

Authors

Ye. G. Dadayan Chair of Mathematical Modeling Methods, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2006.40.1.029

Keywords:

biharmonik equation, first boundary problem, non-regular grids, variation-difference schemes

Abstract

The paper is devoted to the study of behavior of the solution of first boundary problem for biharmonik equation in the neighborhood of angular point. It is proved that the solution of the problem can be represented in a certain form, which allows constructing variation-difference schemes on non-regular grids. Exact estimations for convergence rate are obtained.

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Published

2006-03-07

How to Cite

Dadayan, Y. G. (2006). VARIATION-DIFFERENCE SCHEMES ON COORDINATE CONDENSED GRIDS FOR BIHARMONIK EQUATION. Proceedings of the YSU A: Physical and Mathematical Sciences, 40(1 (209), 29–36. https://doi.org/10.46991/PYSU:A/2006.40.1.029