A posteriori truncated regularization method for identifying unknown heat source on a spherical symmetric domain

In this paper, we mainly consider the inverse problem for identifying the unknown heat source in spherical symmetric domain. We propose a truncation regularization method combined with an a posteriori regularization parameter choice rule to deal with this problem. The Hölder type convergence estimat...

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Veröffentlicht in:	Advances in difference equations 2017-09, Vol.2017 (1), p.1-11, Article 263
Hauptverfasser:	Yang, Fan, Zhang, Miao, Li, Xiao-Xiao, Ren, Yu-Peng
Format:	Artikel
Sprache:	eng
Schlagworte:	a posteriori parameter choice rule Analysis Difference and Functional Equations Functional Analysis identifying the unknown source ill-posed problem Inverse problems Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Regularization regularization method Regularization methods spherical symmetric domain
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Zusammenfassung:	In this paper, we mainly consider the inverse problem for identifying the unknown heat source in spherical symmetric domain. We propose a truncation regularization method combined with an a posteriori regularization parameter choice rule to deal with this problem. The Hölder type convergence estimate is obtained. Numerical results are presented to illustrate the accuracy and efficiency of this method.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-017-1276-1