非局部边界条件下一差分特征值问题的谱结构

IF 1.6 3区数学 Q1 MATHEMATICS

Mathematical Modelling and Analysis Pub Date : 2023-09-04 DOI:10.3846/mma.2023.17503

M. Sapagovas, Kristina Pupalaigė, R. Čiupaila, T. Meškauskas

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引用次数: 0

摘要

研究了在积分条件下近似一维变权系数微分方程的差分特征值问题。分析了差分特征值问题谱中无负特征值的情况。根据理论结果和数值实验结果，对抛物型方程差分格式的稳定性条件进行了分析。

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On the spectrum Structure for One difference eigenvalue Problem with nonlocal boundary conditions

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.

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