Stability estimate and regularization for a radially symmetric inverse heat conduction problem
From MaRDI portal
Publication:525033
DOI10.1186/s13661-017-0785-xzbMath1360.65228OpenAlexW2606760706WikidataQ59525777 ScholiaQ59525777MaRDI QIDQ525033
Publication date: 27 April 2017
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-017-0785-x
Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
Related Items
A modified quasi-boundary value method for a two-dimensional inverse heat conduction problem, Numerical reconstruction of a non-smooth heat flux in the inverse radial heat conduction problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
- Shannon wavelet regularization methods for a backward heat equation
- The determination temperature-dependent thermal conductivity as inverse steady heat conduction problem
- Inverse determination of thermal conductivity using semi-discretization method
- Wavelet moment method for the Cauchy problem for the Helmholtz equation
- Regularized solution of the Cauchy problem for the Laplace equation using Meyer wavelets.
- Wavelet and error estimation of surface heat flux
- A wavelet method for the Cauchy problem for the Helmholtz equation
- Wavelet-Galerkin method for identifying an unknown source term in a heat equation
- Identifying an unknown source in the Poisson equation by a wavelet dual least square method
- An analytical transfer function method to solve inverse heat conduction problems
- Estimation of unknown boundary functions in an inverse heat conduction problem using a mollified marching scheme
- Two regularization methods for a spherically symmetric inverse heat conduction problem
- Wavelets and regularization of the Cauchy problem for the Laplace equation
- A fundamental solution method for inverse heat conduction problem
- A projected iterative method based on integral equations for inverse heat conduction in domains with a cut
- Global time method for inverse heat conduction problem
- An 'optimal filtering' method for the sideways heat equation
- Stable numerical evaluation of Grünwald–Letnikov fractional derivatives applied to a fractional IHCP
- Determining Surface Temperatures from Interior Observations
- Solving the sideways heat equation by a wavelet - Galerkin method
- Optimality for ill-posed problems under general source conditions
- Wavelet and Fourier Methods for Solving the Sideways Heat Equation
- A boundary element method for a multi-dimensional inverse heat conduction problem
- Differential-difference regularization for a 2D inverse heat conduction problem
- Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain
- A wavelet regularization method for solving numerical analytic continuation
