NOTE ON A NEW REGULARIZED METHOD FOR A ILL-POSED HEAT PROBLEM

被引：0

作者：

Nguyen Huy Tuan ^{[1
]}

Dang Dug Trong ^{[2
]}

Pham Hoang Quan ^{[3
]}

机构：

[1] Hoa Sen Univ, Fac Sci & Technol, Dept Appl Math, Ho Chi Minh City, Vietnam

[2] Vietnam Natl Univ, Univ Nat Sci, Dept Math, Fac Math & Informat, Ho Chi Minh City, Vietnam

[3] Saigon Univ, Fac Appl Math, Dept Appl Math, Ho Chi Minh City, Vietnam

来源：

APPLIED AND COMPUTATIONAL MATHEMATICS | 2012年 / 11卷 / 01期

关键词：

Backward Heat Problem; Ill-Posed Problem; Nonhomogeneous Heat; Contraction Principle; CONDUCTION PROBLEM; ERROR ESTIMATE; EQUATION; EVOLUTION; STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a backward heat conduction problem with a time dependent coefficient. This problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the final data. A new regularization method is applied to formulate the regularized solution, which is stably convergent to the exact ones with Holder estimates. This work extends to the many earlier results by Clark and Oppenheimer [2], and sonic other authors.

引用

页码：37 / 45

页数：9

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