Optimal error bound and Fourier regularization for identifying an unknown source in the heat equation

In this paper we investigate a problem of the identification of an unknown source from one supplementary temperature measurement at a given instant of time for the transient heat equation. Under an a priori condition we answer the question concerning the best possible accuracy for the problem. The F...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational and applied mathematics 2009-08, Vol.230 (2), p.728-737
Main Authors: Dou, Fang-Fang, Fu, Chu-Li, Yang, Feng-Lian
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fourier regularization
Heat equation
Ill-posed problem
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Optimal error bound
Partial differential equations
Sciences and techniques of general use
Unknown source
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we investigate a problem of the identification of an unknown source from one supplementary temperature measurement at a given instant of time for the transient heat equation. Under an a priori condition we answer the question concerning the best possible accuracy for the problem. The Fourier regularization method is utilized for solving the problem, and its convergent rate is analyzed. Numerical results are presented to illustrate the accuracy and efficiency of the method.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2009.01.008