Прямий метод дослідження першої загальної крайової задачі для рівняння теплопровідності в прямокутнику

О. Trusevych; M. Kusij

The direct method research of the first general boundary value problem for the heat equation in a rectangle

Authors

О. Trusevych Department of Applied Mathematics and Mechanics Lviv State University of Life Safety
M. Kusij Department of Applied Mathematics and Mechanics Lviv State University of Life Safety

Keywords:

—eigenvalue problem and their functions, Fourier method, function Cauchy

Abstract

A direct method for solving the first boundary value problem for the heat equation in the rectangle was proposed and justified. The basis of this method used a reduction method, the classical Fourier method, method of eigenfunctions and eigenvalues. The advantage of this method is actually a direct method for solving this problem.