Identification of parameters in one-dimensional IHCP

DOI10.1016/S0898-1221(97)00274-5zbMath0907.65126MaRDI QIDQ1129497

Shenghe Zhan, Diego A. Murio

Publication date: 20 August 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsparameter identificationerror boundsinverse heat conduction problemsdiscrete mollification

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Applications to the sciences (65Z05)

Related Items (4)

The determination temperature-dependent thermal conductivity as inverse steady heat conduction problem ⋮ Numerical identification of a nonlinear diffusion coefficient by discrete mollification ⋮ Automatic numerical solution of generalized 2-D IHCP by discrete mollification ⋮ Identification of parameters in the 2-D IHCP

Cites Work

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• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Mollified hyperbolic method for coefficient identification problems
• Numerical solution of generalized IHCP by discrete mollification
• Numerical identification of diffusivity coefficient and initial condition by discrete mollification
• Identification of Parameters in Distributed Parameter Systems by Regularization
• A Generalized Pulse-Spectrum Technique (GPST) for Determining Time-Dependent Coefficients of One-Dimensional Diffusion Equations

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