Error estimates of a difference approximation method for a backward heat conduction problem

DOI10.1155/IJMMS/2006/45489zbMath1131.65082OpenAlexW2002346986MaRDI QIDQ2468976

Zhi Qian, Chu-Li Fu, Xiang Gao, Xiang-Tuan Xiong

Publication date: 1 February 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53801

zbMATH Keywords

error estimatesregularizationnumerical experimentill-posed problembackward heat conduction problemcentral difference method

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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 (5)

On a fractional backward heat conduction problem: application to deblurring ⋮ Notes on a new approximate solution of 2-D heat equation backward in time ⋮ Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation ⋮ An a posteriori parameter choice rule for the truncation regularization method for solving backward parabolic problems ⋮ Sharp estimates for approximations to a nonlinear backward heat equation

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• Numerical solution of the sideways heat equation by difference approximation in time
• An iterative boundary element method for solving the one-dimensional backward heat conduction problem

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