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Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain
Yang, Fan; Zhang, Pan; Li, Xiao-Xiao; Ma, Xin-Yi
2020-03-19
Source PublicationADVANCES IN DIFFERENCE EQUATIONS
ISSN1687-1847
Volume2020Issue:1
AbstractIn this paper, we deal with the inverse problem of identifying the unknown source of time-fractional diffusion equation on a columnar symmetric domain. This problem is ill-posed. Firstly, we establish the conditional stability for this inverse problem. Then the regularization solution is obtained by using the Tikhonov regularization method and the error estimates are derived under the a priori and a posteriori choice rules of the regularization parameter. Three numerical examples are presented to illustrate the validity and effectiveness of our method.
KeywordTime-fractional diffusion equation Ill-posed problem Regularization method Error estimate
DOI10.1186/s13662-020-2542-1
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11561045][11961044]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000522116400001
PublisherSPRINGEROPEN
Document Type期刊论文
Identifierhttp://ir.lut.edu.cn/handle/2XXMBERH/64242
Collection理学院
Corresponding AuthorYang, Fan
AffiliationLanzhou Univ Technol, Sch Sci, Lanzhou, Peoples R China
First Author AffilicationColl Sci
Corresponding Author AffilicationColl Sci
First Signature AffilicationColl Sci
Recommended Citation
GB/T 7714
Yang, Fan,Zhang, Pan,Li, Xiao-Xiao,et al. Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain[J]. ADVANCES IN DIFFERENCE EQUATIONS,2020,2020(1).
APA Yang, Fan,Zhang, Pan,Li, Xiao-Xiao,&Ma, Xin-Yi.(2020).Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain.ADVANCES IN DIFFERENCE EQUATIONS,2020(1).
MLA Yang, Fan,et al."Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain".ADVANCES IN DIFFERENCE EQUATIONS 2020.1(2020).
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