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 | |
刊名 | MATHEMATICS
![]() |
2019-11 | |
卷号 | 7期号:11 |
关键词 | time-fractional wave-diffusion equation identify initial value truncation regularization method ill-posed problem |
DOI | 10.3390/math7111007 |
英文摘要 | 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. |
资助项目 | National Natural Science Foundation of China[11561045] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | MDPI |
WOS记录号 | WOS:000502288700004 |
状态 | 已发表 |
内容类型 | 期刊论文 |
源URL | [http://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 |
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). |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论