New fast iteration for determining surface temperature and heat flux of general sideways parabolic equation

DOI10.1016/j.nonrwa.2010.06.005zbMath1205.35337OpenAlexW1984493382MaRDI QIDQ611228

You-Jun Deng, Zhen-Hai Liu

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.06.005

zbMATH Keywords

iterationdiscrepancy principleheat fluxinverse heat conduction problemsideways parabolic equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (7)

An iteration method for stable analytic continuation ⋮ A regularization for a Riesz–Feller space-fractional backward diffusion problem ⋮ An iteration regularization for a time-fractional inverse diffusion problem ⋮ Reconstruction of initial heat distribution via Green function method ⋮ A spring-damping regularization of the Fourier sine series solution to the inverse Cauchy problem for a 3D sideways heat equation ⋮ An extension of the Landweber regularization for a backward time fractional wave problem ⋮ An iterative method for backward time‐fractional diffusion problem

Cites Work

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• Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
• Determining surface temperature and heat flux by a wavelet dual least squares method
• Wavelet and error estimation of surface heat flux
• Numerical solution to a sideways parabolic equation
• Inverse Problems Light: Numerical Differentiation
• Iteration methods on sideways parabolic equations
• On a sideways parabolic equation
• Optimal stable approximations for the sideways heat equation
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• A spectral method for solving the sideways heat equation
• Convergence rate analysis for parameter identification with semi-linear parabolic equation
• Numerical Differentiation and Regularization
• An introduction to the mathematical theory of inverse problems

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