Modeling the one-dimensional inverse heat transfer problem using a Haar wavelet collocation approach

Ali Jahangiri, Samira Mohammadi and Mohammad Akbari

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 13-26

Abstract: In this paper, a numerical method to solving the one-dimensional inverse heat transfer problem in Cartesian and Cylindrical coordinates, which is combination of the Haar wavelet collocation and Tikhonov regularization approach, has been used. The audit consisted in comparing the heat transfer in reality with numerical result as a noisy data, in order to identify errors of 1%–5% has been presented. In this study, the Haar functions, in addition to estimating the unknown functions, are also used to reduce output noises. Based on the obtained results, two main advantages of the repeated method have been proven, first, the precision of this method in estimating the unknown boundary condition and the second, processing speed due to the lack of need for wavelet functions to be collocated at low intervals. This suggested that this method, also has a high speed. According to the obtained results, it can be asserted that the present method by applying a small error in the input data, is preserved its stability.

Keywords: Ill-posed inverse problems; Haar basis method; Tikhonov regularization method; Noisy data (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119302730
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:13-26

DOI: 10.1016/j.physa.2019.03.040

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().