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

[1]

Ang D.D., 2002, LECT NOTES MATH, V1792

[2]

Beck J.V., 1985, INVERSE HEAT CONDUCT

[3]

CARASSO A, 1981, SIAM J APPL MATH, V42, P547

[4] STABILITY ESTIMATES AND REGULARIZATION FOR AN INVERSE HEAT-CONDUCTION PROBLEM IN SEMI - INFINITE AND FINITE-TIME INTERVALS [J].

ENGL, HW ;

MANSELLI, P .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1989, 10 (5-6) :517-540

[5]

Erdelyi A., 1954, TABLES INTEGRAL TRAN, VI

[6]

Friedman A., 1964, Partial Differential Equations of Parabolic Type

[7]

LE TT, 1995, INT J MATH MATH SCI

[8]

Stenger F., 1993, NUMERICAL METHODS BA

[9]

TALENTI G, 1981, J AUST MATH SOC, V32, P358

[10]

Tikhonov A., 1977, Solutions of III-Posed problems

← 1 →