Numerical solution of a source identification problem: Almost coercivity

被引：9

作者：

Ashyralyev, Allaberen ^{[1
,2
,3
]}

Erdogan, Abdullah Said ^{[4
]}

Sazaklioglu, Ali Ugur ^{[5
,6
]}

机构：

[1] Near East Univ, Dept Math, Nicosia 10, Mersin, Turkey

[2] Peoples Friendship Univ Russia, RUDN Univ, Moscow 117198, Russia

[3] Russia & Inst Math & Math Modeling, Atmaty 050010, Kazakhstan

[4] Sigma Labs Florida, Orlando, FL 32826 USA

[5] Univ Turkish Aeronaut Assoc, Dept Astronaut Engn, TR-06790 Ankara, Turkey

[6] Istanbul Univ, Dept Math, TR-34452 Istanbul, Turkey

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2019年 / 27卷 / 04期

关键词：

Finite difference method; inverse problem; parabolic equation; source identification problem; almost coercivity; stability; RIGHT-HAND SIDE; INVERSE PROBLEM; FLUID-FLOW; EQUATION; PARAMETER;

D O I：

10.1515/jiip-2017-0072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper is devoted to the investigation of a source identification problem that describes the flow in capillaries in the case when an unknown pressure acts on the system. First and second order of accuracy difference schemes are presented for the numerical solution of this problem. Almost coercive stability estimates for these difference schemes are established. Additionally, some numerical results are provided by testing the proposed methods on an example.

引用

页码：457 / 468

页数：12

共 32 条

[1]

Aliev FA, 2016, TWMS J PURE APPL MAT, V7, P211

[2]

Aliev FA, 2016, APPL COMPUT MATH-BAK, V15, P370

[3]

Alifanov O. M., 2011, INT SER HEAT MASS TR

[4] On a stability of a solution of the loaded heat equation [J].