Simultaneous Determination of the Space-Dependent Source and the Initial Distribution in a Heat Equation by Regularizing Fourier Coefficients of the Given Measurements
Joint Authors
Qiu, Shufang
Zhang, Wen
Peng, Jianmei
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-02
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We consider an inverse problem for simultaneously determining the space-dependent source and the initial distribution in heat conduction equation.
First, we study the ill-posedness of the inverse problem.
Then, we construct a regularization problem to approximate the originally inverse problem and obtain the regularization solutions with their stability and convergence results.
Furthermore, convergence rates of the regularized solutions are presented under a prior and a posteriori strategies for selecting regularization parameters.
Results of numerical examples show that the proposed regularization method is stable and effective for the considered inverse problem.
American Psychological Association (APA)
Qiu, Shufang& Zhang, Wen& Peng, Jianmei. 2018. Simultaneous Determination of the Space-Dependent Source and the Initial Distribution in a Heat Equation by Regularizing Fourier Coefficients of the Given Measurements. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1119297
Modern Language Association (MLA)
Qiu, Shufang…[et al.]. Simultaneous Determination of the Space-Dependent Source and the Initial Distribution in a Heat Equation by Regularizing Fourier Coefficients of the Given Measurements. Advances in Mathematical Physics No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1119297
American Medical Association (AMA)
Qiu, Shufang& Zhang, Wen& Peng, Jianmei. Simultaneous Determination of the Space-Dependent Source and the Initial Distribution in a Heat Equation by Regularizing Fourier Coefficients of the Given Measurements. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1119297
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119297