Fourier regularization method of a sideways heat equation for determining surface heat flux

DOI10.1016/J.JMAA.2005.12.010zbMath1124.65083OpenAlexW2051219798MaRDI QIDQ820022

Xiang-Tuan Xiong, Chu-Li Fu, Hong-Fang Li

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.010

zbMATH Keywords

convergencenumerical exampleinverse problemerror estimateill-posed problemheat fluxtruncated singular value decompositionsideways heat equationFourier regularization method

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) 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) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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Cites Work

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• 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
• Optimality for ill-posed problems under general source conditions
• Geometry of linear ill-posed problems in variable Hilbert scales
• Regularization of exponentially ill-posed problems
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• Numerical solution of the sideways heat equation by difference approximation in time

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