Shannon wavelet regularization methods for a backward heat equation

DOI10.1016/j.cam.2011.01.001zbMath1233.65068OpenAlexW2089017209MaRDI QIDQ631910

Jin Ru Wang

Publication date: 14 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.01.001

zbMATH Keywords

error estimatesill-posed problembackward heat equationmulti-resolutionShannon wavelet regularization

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Numerical methods for wavelets (65T60) 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 (9)

Nonlinear wavelet methods for high-dimensional backward heat equation ⋮ A variational technique of mollification applied to backward heat conduction problems ⋮ Solving a backward heat conduction problem by variational method ⋮ On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient. ⋮ Spectral graph wavelet regularization and adaptive wavelet for the backward heat conduction problem ⋮ Stability estimate and regularization for a radially symmetric inverse heat conduction problem ⋮ An a posteriori parameter choice rule for the truncation regularization method for solving backward parabolic problems ⋮ An improved regularization method for initial inverse problem in 2-D heat equation ⋮ A regularization method for solving the radially symmetric backward heat conduction problem

Cites Work

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• Fourier regularization for a backward heat equation
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• Two numerical methods for solving a backward heat conduction problem
• A Well Posed Problem for the Backward Heat Equation
• Optimality for ill-posed problems under general source conditions
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• A DISCREPANCY PRINCIPLE FOR THE SOURCE POINTS LOCATION IN USING THE MFS FOR SOLVING THE BHCP

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