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The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations
Yang, Fan; Pu, Qu; Li, Xiao-Xiao; Li, Dun-Gang
2019-11
Source PublicationMATHEMATICS
Volume7Issue:11
AbstractIn the essay, we consider an initial value question for a mixed initial-boundary value of time-fractional diffusion-wave equations. This matter is an ill-posed problem; the solution relies discontinuously on the measured information. The truncation regularization technique is used for restoring the initial value functions. The convergence estimations are given in a priori regularization parameter choice regulations and a posteriori regularization parameter choice regulations. Numerical examples are given to demonstrate this is effective and practicable.
Keywordtime-fractional wave-diffusion equation identify initial value truncation regularization method ill-posed problem
DOI10.3390/math7111007
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11561045]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000502288700004
PublisherMDPI
Citation statistics
Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.lut.edu.cn/handle/2XXMBERH/64313
Collection理学院
Corresponding AuthorYang, Fan
AffiliationLanzhou Univ Technol, Sch Sci, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
First Author AffilicationColl Sci
Corresponding Author AffilicationColl Sci
First Signature AffilicationColl Sci
Recommended Citation
GB/T 7714
Yang, Fan,Pu, Qu,Li, Xiao-Xiao,et al. The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations[J]. MATHEMATICS,2019,7(11).
APA Yang, Fan,Pu, Qu,Li, Xiao-Xiao,&Li, Dun-Gang.(2019).The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations.MATHEMATICS,7(11).
MLA Yang, Fan,et al."The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations".MATHEMATICS 7.11(2019).
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