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
language:
Short-container-title:

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

Reference33 articles.

1. B. Bialecki, G. Fairweather and J.C. Lopez-Marcos. The Crank-Nicolson Hermite cubic orthogonal spline collocation method for the heat equation with nonlocal boundary conditions. Advan. Appl. Math. Mech., 54(2013):442-460, 2013.

2. K. Bingelė, A. Bankauskienė and A. Štikonas. Spectrum curves for a discrete Sturm-Lioville problem with one integral boundary condition. Nonlin. Anal. Model. Control, 24:755-774, 2019. https://doi.org/10.15388/NA.2019.5.5

3. B. Cahlon, D.M. Kulkarni and P. Shi. Stepwise stability for the heat equation with a nonlocal constrain. SIAM J. Numer. Anal., 32(2):571-593, 1995. https://doi.org/10.1137/0732025

4. R. Čiegis, A. Štikonas, O. Štikonienė and O. Suboč. A monotonic finite- difference scheme for a parabolic problem with nonlocal condition. Differ. Equ., 38(7):1027-1037, 2002. https://doi.org/10.1023/A:1021167932414

5. R. Čiupaila, K. Pupalaigė and M. Sapagovas. On the numerical solution for nonlinear elliptic equation with variable weight coefficients in an integral condition. Nonlinear. Anal. Model. Contr., 26(4):738-758, 2021. https://doi.org/10.15388/namc.2021.26.23929

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. INVESTIGATION OF A DISCRETE STURM–LIOUVILLE PROBLEM WITH TWO-POINT NONLOCAL BOUNDARY CONDITION AND NATURAL APPROXIMATION OF A DERIVATIVE IN BOUNDARY CONDITION;Mathematical Modelling and Analysis;2024-03-26