A wavelet method for solving backward heat conduction problems

dc.contributor.authorQiu, Chunyu
dc.contributor.authorFeng, Xiaoli
dc.date.accessioned2022-06-13T17:32:11Z
dc.date.available2022-06-13T17:32:11Z
dc.date.issued2017-09-14
dc.description.abstractIn this article, we consider the backward heat conduction problem (BHCP). This classical problem is more severely ill-posed than some other problems, since the error of the data will be exponentially amplified at high frequency components. The Meyer wavelet method can eliminate the influence of the high frequency components of the noisy data. The known works on this method are limited to the a priori choice of the regularization parameter. In this paper, we consider also a posteriori choice of the regularization parameter. The Holder type stability estimates for both a priori and a posteriori choice rules are established. Moreover several numerical examples are also provided.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationQiu, C., & Feng, X. (2017). A wavelet method for solving backward heat conduction problems. <i>Electronic Journal of Differential Equations, 2017</i>(219), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15913
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectBackward heat equation
dc.subjectIll-posed problem; regularization
dc.subjectMeyer wavelet
dc.subjectError estimate
dc.titleA wavelet method for solving backward heat conduction problemsen_US
dc.typeArticle

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