Sinc approximation of the heat distribution on the boundary of a two-dimensional finite slab

被引：7

作者：

Alain, P. N. Dinh ^{[1
]}

Quan, P. H. ^{[2
]}

Trong, D. D. ^{[2
]}

机构：

[1] Dept Math, UMR 6628, Orleans 2, France

[2] HoChiMinh City Natl Univ, Dept Math Informat, Hochiminch City, Vietnam

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2008年 / 9卷 / 03期

关键词：

heat equation; heat distribution; Sine series; III-posed problem; regularization;

D O I：

10.1016/j.nonrwa.2007.02.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the two-dimensional problem of recovering globally in time the heat distribution on the surface of a layer inside of a heat conducting body front two interior temperature measurements. The problem is ill-posed. The approximation function is represented by a two-dimensional Sine series and the error estimate is given. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1103 / 1111

页数：9

共 10 条

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