On the stable difference scheme for source identification nonlocal elliptic problem

被引：2

作者：

Ashyralyyev, Charyyar ^{[1
,2
]}

机构：

[1] Bahcesehir Univ, Dept Math, TR-34353 Istanbul, Turkey

[2] Natl Univ Uzbekistan, Dept Appl Math & Comp Anal, Tashkent, Uzbekistan

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 02期

关键词：

difference scheme; inverse problem; source identification problem; stability estimates; INVERSE PROBLEM; EQUATION;

D O I：

10.1002/mma.8656

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Approximation of source identification problem for elliptic equation with integral-type nonlocal condition is discussed. The first order of accuracy difference scheme for elliptic nonlocal identification problem is studied. By using spectral resolution of a self-adjoint operator, we establish stability inequalities for solution of constructed scheme. Subsequently, the difference scheme for approximate solution of multidimensional boundary value problem with integral-type nonlocal and first kind boundary conditions is investigated on stability. Numerical test examples are presented.

引用

页码：2488 / 2499

页数：12

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