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

Authors
  • Čiupaila, Regimantas
  • Sapagovas, Mifodijus
  • Pupalaigė, Kristina
Publication Date
Mar 18, 2020
Source
VGTU
Keywords
Language
English
License
Green
External links

Abstract

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 is that all the eigenvalues of the corresponding difference problem with nonlocal conditions are positive.  

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