Central difference method of a nonstandard inverse heat conduction problem for determining surface heat flux from interior observations
DOI10.1016/j.amc.2005.04.070zbMath1092.65079OpenAlexW1975958594MaRDI QIDQ2489479
Chu-Li Fu, Hong-Fang Li, Xiang-Tuan Xiong
Publication date: 28 April 2006
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2005.04.070
convergenceerror estimatenumerical experimentill-posed problemheat fluxinverse heat conduction problemcentral difference scheme
Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
- Wavelets and regularization of the sideways heat equation
- Wavelet regularization for an inverse heat conduction problem.
- Wavelet and spectral regularization methods for a sideways parabolic equation
- Wavelet and error estimation of surface heat flux
- Central difference schemes in time and error estimate on a non-standard inverse heat conduction problem
- An 'optimal filtering' method for the sideways heat equation
- Determining Surface Temperatures from Interior Observations
- On a sideways parabolic equation
- Optimal stable approximations for the sideways heat equation
- Numerical solution of the sideways heat equation by difference approximation in time