南方科技大学知识苑(SUSTech KC): Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm

题名	Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm
作者	Shcheglov, Alexey 1,2; Li, Jingzhi3,4,5 ; Wang, Chao 1; Ilin, Alexander 2; Zhang, Ye 6
通讯作者	Wang, Chao
发表日期	2023-04-01
DOI	10.4208/aamm.OA-2023-0020
发表期刊	ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 影响因子和分区
ISSN	2070-0733
EISSN	2075-1354
摘要	This study addresses the parameter identification problem in a system of time-dependent quasi-linear partial differential equations (PDEs). Using the integral equation method, we prove the uniqueness of the inverse problem in nonlinear PDEs. Moreover, using the method of successive approximations, we develop a novel iter-ative algorithm to estimate sorption isotherms. The stability results of the algorithm are proven under both a priori and a posteriori stopping rules. A numerical example is given to show the efficiency and robustness of the proposed new approach.
关键词	Inverse problem quasi-linear dynamic model uniqueness method of successive approximations stability
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	其他
资助项目	National Natural Science Foundation of China[12171036] ; Beijing Natural Science Foundation[Z210001] ; NSF of China[11971221] ; Guangdong NSF Major Fund[2021ZDZX1001] ; Shenzhen Sci-Tech Fund["RCJC20200714114556020","JCYJ20200109115422828","JCYJ20190809150413261"] ; Guangdong Youth Innovation Talents Project[2022KQNCX108] ; GuangDong Basic and Applied Basic Research Foundation[2022A1515110362]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:001084235800001
出版者	GLOBAL SCIENCE PRESS
来源库	Web of Science
引用统计	被引频次[WOS]：7
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/582907
专题	理学院_数学系
作者单位	1.Shenzhen MSU BIT Univ, Fac Computat Math & Cybernet, Shenzhen 518172, Guangdong, Peoples R China 2.Lomonosov Moscow State Univ, Fac Computat Math & Cybernet, Moscow, Russia 3.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China 4.Southern Univ Sci & Technol, Natl Ctr Appl Math Shenzhen, Shenzhen 518055, Guangdong, Peoples R China 5.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518055, Guangdong, Peoples R China 6.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Shcheglov, Alexey,Li, Jingzhi,Wang, Chao,et al. Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS,2023.
APA	Shcheglov, Alexey,Li, Jingzhi,Wang, Chao,Ilin, Alexander,&Zhang, Ye.(2023).Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm.ADVANCES IN APPLIED MATHEMATICS AND MECHANICS.
MLA	Shcheglov, Alexey,et al."Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm".ADVANCES IN APPLIED MATHEMATICS AND MECHANICS (2023).