M-matrices and convergence of finite difference scheme for parabolic equation with integral boundary condition

In the paper, the stability and convergence of difference schemes approximating semilinear parabolic equation with a nonlocal condition are considered. The proof is based on the properties of M-matrices, not requiring the symmetry or diagonal predominance of difference problem. The main presumption...

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Bibliographic Details

Published in:	Mathematical Modelling and Analysis
Main Authors:	Regimantas Čiupaila, Mifodijus Sapagovas, Kristina Pupalaigė
Format:	Article
Language:	English
Published:	Vilnius Gediminas Technical University 2020-03-01
Subjects:	finite difference method nonlocal boundary condition convergence M-matrices
Online Access:	https://journals.vgtu.lt/index.php/MMA/article/view/8023