Stability of a family of weighted finite-difference schemes

被引：0

作者：

Gulin A.V. ^{[1
]}

Mokin A.Yu. ^{[1
]}

机构：

[1] Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow

来源：

Computational Mathematics and Modeling | 2009年 / 20卷 / 2期

基金：

俄罗斯基础研究基金会;

关键词：

Scalar Product; Difference Scheme; Positive Root; Root Function; Nonlocal Boundary Condition;

D O I：

10.1007/s10598-009-9026-1

中图分类号：

学科分类号：

摘要：

Existence and uniqueness theorems are proved for a weighted finite-difference scheme approximating the heat equation with a nonlocal boundary condition containing a parameter. Bounds are derived that guarantee stability of the solution in the initial values in the mean-square grid norm. © 2009 Springer Science+Business Media, Inc.

引用

页码：152 / 172

页数：20