A note on the well-posedness of the nonlocal boundary value problem for elliptic difference equations

被引：10

作者：

Ashyralyev, A. ^{[1
]}

Altay, N.

机构：

[1] Fatih Univ, Dept Math, Istanbul, Turkey

[2] Bahcesehir Univ, Dept Math, Istanbul, Turkey

[3] Int Turkmen Turkish Univ, Dept Math, Ashkhabad, Turkmenistan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 175卷 / 01期

关键词：

elliptic difference equation; difference schemes; well-posedness;

D O I：

10.1016/j.amc.2005.07.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlocal boundary value problem for elliptic difference equations in an arbitrary Banach space is considered. The well-posedness of this problem is investigated. The stability, almost coercive stability and coercive stability estimates for the solutions of difference schemes of the second order of accuracy for the approximate solutions of the nonlocal boundary value problem for elliptic equation are obtained. The theoretical statements for the solution of these difference schemes are supported by the results of numerical experiments. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：49 / 60

页数：12

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