Determination temperature of a backward heat equation with time-dependent coefficients

被引：6

作者：

Nguyen Huy Tuan ^{[1
]}

Ngo Van Hoa ^{[1
]}

机构：

[1] Ton Duc Thang Univ, Div Appl Math, Ho Chi Minh City, Vietnam

来源：

MATHEMATICA SLOVACA | 2012年 / 62卷 / 05期

关键词：

backward heat problem; Ill-posed problem; nonhomogeneous heat; contraction principle; ILL-POSED PROBLEMS; FOURIER REGULARIZATION; CONDUCTION PROBLEM; ERROR ESTIMATE; STABILITY; APPROXIMATION; SPACE;

D O I：

10.2478/s12175-012-0056-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the truncation method for solving a backward heat conduction problem with time-dependent coefficients. For this method, we give the stability analysis with new error estimates. Meanwhile, we investigate the roles of regularization parameters in these two methods. These estimates prove that our method is effective.

引用

页码：937 / 948

页数：12

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