A Third-Order of Accuracy Difference Scheme for the Bitsadze-Samarskii Type Nonlocal Boundary Value Problem

被引：3

作者：

Ashyralyev, Allaberen ^{[1
]}

Tetikoglu, Fatma Songul Ozesenli ^{[1
]}

机构：

[1] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey

来源：

FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012) | 2012年 / 1470卷

关键词：

Bitsadze-Samarskii problem; Elliptic equation; Nonlocal boundary value problems; Difference scheme; WELL-POSEDNESS;

D O I：

10.1063/1.4747639

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Bitsadze-Samarskii type nonlocal boundary value problem for the multidimensional elliptic equation is considered. The third order of accuracy stable difference scheme for the approximate solution of this problem is presented. Stability, almost coercive stability and coercive stability for the solution of third order of approximation are obtained.

引用

页码：61 / 64

页数：4

共 14 条

[1]

[Anonymous], 1969, SOV MATH DOKL

[2]

[Anonymous], 2003, COMPUT METH APPL MAT

[3] On well-posedness of the nonlocal boundary value problems for elliptic equations [J].