A spectral regularization method for solving surface heat flux on a general sideways parabolic

DOI10.1016/j.amc.2007.07.074zbMath1140.65065OpenAlexW2115823681MaRDI QIDQ2479198

Chu-Li Fu, Xiang-Tuan Xiong

Publication date: 26 March 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.07.074

zbMATH Keywords

error estimatesnumerical examplesparabolic equationill-posed problemsurface heat fluxsideways heat equation

Mathematics Subject Classification ID

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

Related Items (6)

Solving stationary inverse heat conduction in a thin plate ⋮ A Compact Filter Regularization Method for Solving Sideways Heat Equation ⋮ A quasi-reversibility regularization method for an inverse heat conduction problem without initial data ⋮ A new \textit{a posteriori} parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem ⋮ Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation ⋮ Solving a Cauchy problem for the heat equation using cubic smoothing splines

Cites Work

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• Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
• Wavelet and error estimation of surface heat flux
• Numerical solution to a sideways parabolic equation
• The optimal stability estimate for some ill-posed Cauchy problems for a parabolic equation
• Determining Surface Temperatures from Interior Observations
• On a sideways parabolic equation
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• A spectral method for solving the sideways heat equation

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