A modified method for determining the surface heat flux of IHCP

DOI10.1080/17415970600725128zbMath1202.80017OpenAlexW2118784712MaRDI QIDQ3062522

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

Publication date: 28 December 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970600725128

zbMATH Keywords

regularizationinverse heat conductionill posed problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems in thermodynamics and heat transfer (80A23)

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Cites Work

• Continuous data dependence, regularization, and a three lines theorem for the heat equation with data in a space-like direction
• Analysis and solution of the ill-posed inverse heat conduction problem
• Fourth-order modified method for the Cauchy problem for the Laplace equation
• Semidiscrete central difference method in time for determining surface temperatures
• Numerical solution to a sideways parabolic equation
• Approximations for a Cauchy problem for the heat equation
• Determining Surface Temperatures from Interior Observations
• On a sideways parabolic equation
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• Numerical solution of the sideways heat equation by difference approximation in time