Open AccessNumerical implementation of the Lame equation with complex boundary conditions
Author(s) -
S. B. Sorokin,
A. G. Maksimova,
Г. Г. Лазарева,
A. S. Arakcheev
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1336/1/012016
Subject(s) - thermonuclear fusion , boundary value problem , boundary (topology) , relevance (law) , mathematics , plasma , mechanics , mathematical analysis , computer science , physics , quantum mechanics , political science , law
A discrete model is constructed for calculating the Lame equation with complex boundary conditions. The model is tested on an analytical solution. A complex boundary condition arises when a microcrack is specified on one of the boundaries. Calculation of microcracks will enable better assessment of the relevance of the simulation and finding out which mechanisms will occur in the case of plasma flow heating in modern plasma and future thermonuclear installations.