Central difference schemes in time and error estimate on a non-standard inverse heat conduction problem

DOI10.1016/j.amc.2003.08.028zbMath1068.65117OpenAlexW2007449383MaRDI QIDQ1888508

Chu-Li Fu, Hong-Fang Li, Xiang-Tuan Xiong

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.028

zbMATH Keywords

numerical exampleinverse problemIll-posed problemerror estimateregularization methodinverse heat conduction problemcentral difference scheme

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (11)

Fourier regularization method of a sideways heat equation for determining surface heat flux ⋮ A modified method for a non-standard inverse heat conduction problem ⋮ Representation of the exact solution and a stability analysis on the Fredholm integral equation of the first kind in reproducing kernel space ⋮ The method of central difference for the inverse time-dependent heat source problem ⋮ Reproducing kernel space method for the solution of linear Fredholm integro-differential equations and analysis of stability ⋮ Approximate solution of the Fredholm integral equation of the first kind in a reproducing kernel Hilbert space ⋮ Optimal error bound in a Sobolev space of regularized approximation solutions for a sideways parabolic equation ⋮ Two regularization methods and the order optimal error estimates for a sideways parabolic equation ⋮ Central difference method of a nonstandard inverse heat conduction problem for determining surface heat flux from interior observations ⋮ Global superconvergence of finite element methods for parabolic inverse problems. ⋮ Central difference regularization method for inverse source problem on the Poisson equation

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• Determining Surface Temperatures from Interior Observations
• On a sideways parabolic equation
• Optimal stable approximations for the sideways heat equation
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• Numerical solution of the sideways heat equation by difference approximation in time

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