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Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
Yang, Fan; Zhang, Yan; Li, Xiao-Xiao
2020-04
Source PublicationNUMERICAL ALGORITHMS
ISSN1017-1398
Volume83Issue:4Pages:1509-1530
AbstractThis paper considers the inverse problem for identifying the initial value problem of a space-time fractional diffusion wave equation. In general, this problem is ill-posed and the Landweber iterative regularization method is used to solve this problem. The error estimates between the exact solution and the regularized solution are given under the a priori parameter choice rule and the a posteriori parameter choice rule, respectively. In order to verify the validity and stability of the used method, numerical examples of two different dimensional cases with experimental data are performed.
KeywordInitial value problem Time-space fractional diffusion-wave equation Landweber iterative regularization method Error estimate
DOI10.1007/s11075-019-00734-6
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000527950300011
PublisherSPRINGER
Document Type期刊论文
Identifierhttp://ir.lut.edu.cn/handle/2XXMBERH/64289
Collection理学院
Corresponding AuthorYang, Fan
AffiliationLanzhou Univ Technol, Sch Sci, 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,Zhang, Yan,Li, Xiao-Xiao. Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation[J]. NUMERICAL ALGORITHMS,2020,83(4):1509-1530.
APA Yang, Fan,Zhang, Yan,&Li, Xiao-Xiao.(2020).Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation.NUMERICAL ALGORITHMS,83(4),1509-1530.
MLA Yang, Fan,et al."Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation".NUMERICAL ALGORITHMS 83.4(2020):1509-1530.
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