Optimal error bound and generalized Tikhonov regularization for identifying an unknown source in the heat equation

DOI10.1007/s10910-010-9774-3zbMath1217.65182OpenAlexW2028208404MaRDI QIDQ551829

Ailin Qian, Yan Li

Publication date: 21 July 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-010-9774-3

zbMATH Keywords

inverse problemserror estimateill-posed problemsstability estimategeneralized Tikhonov regularization

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (11)

Numerical solution for an inverse heat source problem by an iterative method ⋮ Identification of the right-hand side in a bi-parabolic equation with final data ⋮ Regularization of inverse initial problem for conformable pseudo-parabolic equation with inhomogeneous term ⋮ A unified approach to identifying an unknown spacewise dependent source in a variable coefficient parabolic equation from final and integral overdeterminations ⋮ Identification of separable sources for advection-diffusion equations with variable diffusion coefficient from boundary measured data ⋮ Iterative regularization method for an abstract inverse Goursat problem ⋮ Generalized Tikhonov methods for an inverse source problem of the time-fractional diffusion equation ⋮ Identification of the pollution source of a parabolic equation with the time-dependent heat conduction ⋮ Simultaneous determination for a space-dependent heat source and the initial data by the MFS ⋮ Source strength identification problem for the three-dimensional inverse heat conduction equations ⋮ THE REVISED GENERALIZED TIKHONOV METHOD FOR THE BACKWARD TIME-FRACTIONAL DIFFUSION EQUATION

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