A Discretized Tikhonov Regularization Method for a Fractional Backward Heat Conduction Problem
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-17
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We propose a numerical reconstruction method for solving a time-fractional backward heat conduction problem.
Based on the idea of reproducing kernel approximation, we reconstruct the unknown initial heat distribution from a finite set of scattered measurements of transient temperature at a fixed final time.
The standard Tikhonov regularization technique using the norm of reproducing the kernel Hilbert space as the penalty term is adopted to provide a stable solution when the measurement data contains noise.
Numerical results indicate that the proposed method is efficient.
American Psychological Association (APA)
Deng, Zhi-Liang& Yang, Xiao-Mei. 2014. A Discretized Tikhonov Regularization Method for a Fractional Backward Heat Conduction Problem. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1015164
Modern Language Association (MLA)
Deng, Zhi-Liang& Yang, Xiao-Mei. A Discretized Tikhonov Regularization Method for a Fractional Backward Heat Conduction Problem. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1015164
American Medical Association (AMA)
Deng, Zhi-Liang& Yang, Xiao-Mei. A Discretized Tikhonov Regularization Method for a Fractional Backward Heat Conduction Problem. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1015164
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015164