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Identification of source term for the ill-posed Rayleigh–Stokes problem by Tikhonov regularization method
Le Dinh Long, Can Nguyen, Nguyen Hoang Luc,
Published in Springer Science and Business Media LLC
Volume: 2019
Issue: 1
Abstract 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 the Tikhonov method regularization solution and obtain an a priori error estimate between the exact solution and regularized solutions. We also propose methods for both a priori and a posteriori parameter choice rules. In addition, we verify the proposed regularized methods by numerical experiments to estimate the errors between the regularized and exact solutions.
About the journal
JournalData powered by TypesetAdvances in Difference Equations
PublisherData powered by TypesetSpringer Science and Business Media LLC
Open AccessYes