Stability of a nonlocal two-dimensional finite-difference problem
type: Item
instance of: scholarly article
title: Stability of a nonlocal two-dimensional finite-difference problem
zbMATH Open document ID: 1004.65091
DOI: 10.1023/A:1011961822115
author: A. V. Gulin
author: N. I. Ionkin
author: Valentina A. Morozova
published in: Differential Equations
publication date: 2003-02-06T00:00:00Z
review text: The authors consider a two-dimensional problem for the heat equation with boundary conditions of the first kind with respect to one of the space variables and nonlocal conditions with respect to the other variable. For an explicit finite difference scheme, they obtain a criterion for stability with respect to the initial data in a specially constructed energy norm.
reviewed by: Ziwen Jiang
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 1758772
zbMATH Keywords: nonlocal boundary conditions
zbMATH Keywords: heat equation
zbMATH Keywords: finite difference scheme
zbMATH Keywords: stability
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1758772