THE DIRICHLET PROBLEM FOR TRANSVERSELY ISOTROPIC RECTANGULAR PLATE

Abstract

The approach offered before to solve Dirichlet boundary value problems for bending of rectangular transversely isotropic plate which is described by system of three differential equations with partial derivatives and total order equal six is developed. The approach to solve totally heterogeneous boundary value problem is based on reducing to solving a set of basic boundary value problems. Several ways to extend the functions from boundary to area and comparative analysis of their efficiency are offered in order to implement the method. It is showed that polynomial functions are of the best approximative properties concerning convergence and accuracy of constructed analytical numerical solutions.

Keywords

• базова крайова задача
• критеріальне розв'язання
• формальне і неформальне продовження функції з границі в область
• збіжність і точність