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Identification of source term for the Rayleigh‐Stokes problem with Gaussian random noise
Author(s) -
Nguyen Anh Triet,
Luu Vu Cam Hoan,
Nguyen Hoang Luc,
Nguyen Huy Tuan,
Nguyen Van Thinh
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5101
Subject(s) - mathematics , term (time) , hadamard transform , inverse problem , parameter identification problem , convergence (economics) , mathematical analysis , rate of convergence , gaussian noise , filter (signal processing) , identification (biology) , gaussian , noise (video) , mathematical optimization , algorithm , key (lock) , computer science , model parameter , physics , computer security , quantum mechanics , economics , computer vision , biology , economic growth , artificial intelligence , image (mathematics) , botany
In this paper, we study an inverse source problem for the Rayleigh‐Stokes problem for a generalized second‐grade fluid with a fractional derivative model. The problem is severely ill‐posed in the sense of Hadamard. To regularize the unstable solution, we apply a general filter method for constructing regularized solution, and the convergence rate of this method also has been investigated.