Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2007; 44(6): 1281-1290

Printed November 1, 2007

Copyright © The Korean Mathematical Society.

On three spectral regularization methods for a backward heat conduction problem

Xiang-Tuan Xiong, Chu-Li Fu, and Zhi Qian

Lanzhou University, Lanzhou University, Lanzhou University

Abstract

Go to

We introduce three spectral regularization methods for solving a backward heat conduction problem (BHCP). For the three spectral regularization methods, we give the stability error estimates with optimal order under an a-priori and an a-posteriori regularization parameter choice rule. Numerical results show that our theoretical results are effective.

Keywords: inverse problems, backward heat conduction, spectral regularization method, error estimate

MSC numbers: 35R25, 35R30

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS

more +