Determining an unknown source in the heat equation by a wavelet dual least squares method
From MaRDI portal
Publication:1021792
DOI10.1016/j.aml.2008.08.003zbMath1172.35511OpenAlexW2051909108MaRDI QIDQ1021792
Publication date: 9 June 2009
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2008.08.003
Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
Related Items
Inverse source problem of heat conduction equation with time-dependent diffusivity on a spherical symmetric domain ⋮ Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation ⋮ A posteriori truncated regularization method for identifying unknown heat source on a spherical symmetric domain ⋮ Reconstruction of a Robin coefficient by a predictor-corrector method ⋮ A quasi-boundary value regularization method for determining the heat source ⋮ Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation ⋮ The method of simplified Tikhonov regularization for dealing with the inverse time-dependent heat source problem ⋮ Detection of time-varying heat sources using an analytic forward model ⋮ A mollification regularization method for identifying the time-dependent heat source problem ⋮ Regularization methods for unknown source in space fractional diffusion equation ⋮ The method of central difference for the inverse time-dependent heat source problem ⋮ Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation ⋮ Hermite spectral method for solving inverse heat source problems in multiple dimensions ⋮ A mollification regularization method for the inverse spatial-dependent heat source problem ⋮ Two regularization methods to identify time-dependent heat source through an internal measurement of temperature ⋮ The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement ⋮ The revised generalized Tikhonov regularization for the inverse time-dependent heat source problem ⋮ Determination of an unknown time-dependent heat source from a nonlocal measurement by finite difference method ⋮ IDENTIFICATION OF THE SOURCE FOR FULL PARABOLIC EQUATIONS ⋮ Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Determining surface temperature and heat flux by a wavelet dual least squares method
- Determination of the unknown sources in the heat-conduction equation
- Conditional stability in determination of force terms of heat equations in a rectangle
- Source term identification in 1-D IHCP
- Sideways heat equation and wavelets
- Inverse source problem and active shielding for composite domains
- The boundary-element method for the determination of a heat source dependent on one variable
- Nonhomogeneous heat equation: identification and regularization for the inhomogeneous term
- Stability analysis for determining a source term in a 1-D advection-dispersion equation
- ERROR ESTIMATES ON A BACKWARD HEAT EQUATION BY A WAVELET DUAL LEAST SQUARES METHOD
- Ten Lectures on Wavelets
- Wavelet and Fourier Methods for Solving the Sideways Heat Equation
- On problems of determining the source function in a parabolic equation
- Identification of source locations in two-dimensional heat equations
- An inverse problem for the heat equation
