Open AccessCanonical polynomials in the problem about the bend of circular plate of variable thickness
Author(s) -
O. V. Bugrim,
Ye.S. Sinaiskii
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/247725
Subject(s) - variable (mathematics) , mathematics , rigidity (electromagnetism) , boundary value problem , mathematical analysis , ordinary differential equation , polynomial , differential equation , physics , quantum mechanics
The problem about the bend of circular plate of variable thickness under specifically selected laws of rigidity change is reduced to the ordinary differential equation with variable coefficients of polynomial kind. The construction of the approximate solution of equation that satisfies boundary conditions is realized by means of canonical polynomials and $\tau$-method of Lantzosh.