Boundary Value Problems for Certain Classes of Loaded Differential Equations and Solving Them by Finite Difference Methods

被引：44

作者：

Alikhanov, A. A. ^{[1
]}

Berezgov, A. M. ^{[1
]}

Shkhanukov-Lafishev, M. X. ^{[1
]}

机构：

[1] Kabardino Balkar State Univ, Kabardino Balkar Sci Ctr, Inst Problems Informat Sci & Reg Management, Russian Acad Sci, Nalchik 360004, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2008年 / 48卷 / 09期

关键词：

boundary value problems; a priori bound; difference scheme; stability and convergence of difference schemes; loaded differential equation;

D O I：

10.1134/S096554250809008X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Boundary value problems for loaded ordinary and partial differential equations are considered. A priori bounds are obtained for solutions to differential and difference equations. These bounds imply the stability and convergence of difference schemes for the equations under consideration.

引用

页码：1581 / 1590

页数：10