Scientific journal

ISSN 1814-2400

INFORMATION SCIENCE AND CONTROL SYSTEMS

Rukavishnikov V. A., Rukavishnikova E. I., Ryabokon A. S.

COMPARATIVE NUMERICAL ANALYSIS OF METHODS FOR SOLVING BOUNDARY VALUE PROBLEMS WITH DEGENERACY PROPERTY ALONG THE ENTIRE DOMAIN BOUNDARY

We proposed an algorithm and carried out a comparative analysis of the classical finite element method and a method with special condensation of grids for the Dirichlet problem with a degeneracy property solution along the entire boundary of two-dimensional domain. We obtained experimental corroboration of theoretical estimations for accuracy and drew some conclusions.

Keywords: boundary value problems with degeneracy property along the entire boundary, finite element method, condensation of grids