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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
发表期刊MATHEMATICS
卷号7期号:11
摘要In 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.
关键词time-fractional wave-diffusion equation identify initial value truncation regularization method ill-posed problem
DOI10.3390/math7111007
收录类别SCI ; SCIE
语种英语
资助项目National Natural Science Foundation of China[11561045]
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:000502288700004
出版者MDPI
引用统计
被引频次:11[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://ir.lut.edu.cn/handle/2XXMBERH/64313
专题理学院
通讯作者Yang, Fan
作者单位Lanzhou Univ Technol, Sch Sci, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
第一作者单位理学院
通讯作者单位理学院
第一作者的第一单位理学院
推荐引用方式
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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