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  • 标题:Identification of source term for the ill-posed Rayleigh–Stokes problem by Tikhonov regularization method
  • 本地全文:下载
  • 作者:Tran Thanh Binh ; Hemant Kumar Nashine ; Le Dinh Long
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-20
  • DOI:10.1186/s13662-019-2261-7
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
  • 关键词:35K05;35K99;47J06;47H10;Rayleigh;Stokes problem;Fractional derivative;Ill-posed problem;Tikhonov regularization method
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