Simultaneous determination of unknown coefficients in a parabolic equation

被引：13

作者：

Fatullayev, Afet Golayoglu ^{[1
]}

Gasilov, Nizami ^{[1
]}

Yusubov, Ismihan ^{[2
]}

机构：

[1] Baskent Univ, Fac Engn, TR-06490 Ankara, Turkey

[2] Sakarya Univ, Fac Engn, Sakarya, Turkey

来源：

APPLICABLE ANALYSIS | 2008年 / 87卷 / 10-11期

关键词：

parabolic equation; inverse problem; unknown coefficients; finite-difference method; numerical algorithm; Tikhonov regularization;

D O I：

10.1080/00036810802140616

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical method for an inverse problem of simultaneously determining unknown coefficients in a parabolic equation subject to the specifications of the solution at boundary points and given integral of the solution on space variable along with the usual initial and boundary conditions is proposed. The approach based on trace-type functional formulation of the problem is used. To avoid instability in this approach the Tikhonov regularization method is applied. Some numerical examples using the proposed algorithm are presented.

引用

页码：1167 / 1177

页数：11

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