ON THE SPECTRUM STRUCTURE FOR ONE DIFFERENCE EIGENVALUE PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS-Reference-Cited by-同舟云学术

ON THE SPECTRUM STRUCTURE FOR ONE DIFFERENCE EIGENVALUE PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS

Published:2023-09-04 Issue:3 Volume:28 Page:522-541
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Sapagovas Mifodijus¹,Pupalaigė Kristina²,Čiupaila Regimantas³,Meškauskas Tadas⁴

Affiliation:

1. Institute of Data Science and Digital Technologies, Vilnius University, Akademijos g. 4, LT-08412 Vilnius, Lithuania

2. Department of Applied Mathematics, Kaunas University of Technology, Studentų g. 50, LT-51368 Kaunas, Lithuania

3. Vilnius Gediminas Technical University, Saulėtekio al. 11, LT-10223, Vilnius, Lithuania

4. Institute of Computer Science, Vilnius University, Didlaukio g. 47, LT-08303, Vilnius, Lithuania

Abstract

The difference eigenvalue problem approximating the one-dimensional differential equation with the variable weight coefficients in an integral conditions is considered. The cases without negative eigenvalue in the spectrum of difference eigenvalue problem were analyzed. Analysis of the conditions of stability of difference schemes for parabolic equations was carried out according to the theoretical results and results of the numerical experiment.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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