initial-boundary value problems, connected graphs, eigenvalues and eigenfunctions of operators, discrete and semi-bounded operators, Galerkin method, regularized trace method
Abstract
The development of new technologies in science and engineering has led to a need for mathematical methods to efficiently calculate the eigenvalues of partial differential operators on graphs with time-varying geometric parameters. The paper presents algorithms developed using the example of canonical parabolic partial differential equations to compute their eigenvalues. The analytical formulas obtained from these algorithms can approximate the eigenvalues at specific time points.
Author Biography
Sergey Ivanovic Kadchenko, Nosov Magnitogorsk State Technical University, Magnitogorsk
Dr. Sc. (Physics and Mathematics), Professor, Applied Mathematics and Informatics Department
