Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions

被引：56

作者：

Ismailov, M. I. ^{[2
]}

Kanca, F. ^{[3
]}

Lesnic, D. ^{[1
]}

机构：

[1] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England

[2] Gebze Inst Technol, Dept Math, TR-41400 Gebze, Turkey

[3] Kocaeli Univ, Dept Math, TR-41380 Kocaeli, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 08期

关键词：

Fourier method; Heat source; Inverse problem; Integral overdetermination condition; Finite difference method; Mollification method; SOURCE-TERM;

D O I：

10.1016/j.amc.2011.09.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the inverse problem of finding a time-dependent heat source in a parabolic equation with nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown by using the generalized Fourier method. Numerical tests using the Crank-Nicolson finite difference scheme combined with an iterative method are presented and discussed. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：4138 / 4146

页数：9

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