| 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
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| 2019-11
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发表期刊 | MATHEMATICS
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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
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DOI | 10.3390/math7111007
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收录类别 | SCI
; SCIE
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语种 | 英语
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资助项目 | National Natural Science Foundation of China[11561045]
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WOS研究方向 | Mathematics
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WOS类目 | Mathematics
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WOS记录号 | WOS:000502288700004
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出版者 | MDPI
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引用统计 |
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文献类型 | 期刊论文
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条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/64313
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专题 | 理学院
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通讯作者 | Yang, Fan |
作者单位 | Lanzhou Univ Technol, Sch Sci, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
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第一作者单位 | 理学院
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通讯作者单位 | 理学院
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第一作者的第一单位 | 理学院
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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).
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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).
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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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