Identifying an unknown source term in a heat equation

DOI10.1080/17415970902916870zbMath1183.65116OpenAlexW2103583872MaRDI QIDQ3645185

Chu-Li Fu, Fan Yang, Fang-Fang Dou

Publication date: 16 November 2009

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

Full work available at URL: https://doi.org/10.1080/17415970902916870

zbMATH Keywords

numerical resultsheat equationinverse problemregularizationerror estimateill-posed problemquasi-reversibility methodunknown source

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) 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 (23)

Identification of a time dependent source function in a parabolic inverse problem via finite element approach ⋮ A regularized optimization method for identifying the space-dependent source and the initial value simultaneously in a parabolic equation ⋮ Identifying an unknown source term of a parabolic equation in Banach spaces ⋮ A quasi-boundary value regularization method for determining the heat source ⋮ On Tikhonov's method and optimal error bound for inverse source problem for a time-fractional diffusion equation ⋮ A mollification regularization method for identifying the time-dependent heat source problem ⋮ A non-iterative method for recovering the space-dependent source and the initial value simultaneously in a parabolic equation ⋮ A Tikhonov-type method for solving a multidimensional inverse heat source problem in an unbounded domain ⋮ Fast matrix exponential-based quasi-boundary value methods for inverse space-dependent source problems ⋮ Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions ⋮ Identifying a time-dependent heat source with nonlocal boundary and overdetermination conditions by the variational iteration method ⋮ Solution of the boundary-value problem of heat conduction with periodic boundary conditions ⋮ Hermite spectral method for solving inverse heat source problems in multiple dimensions ⋮ Identifying an unknown source term in a heat equation with time-dependent coefficients ⋮ A fractional Tikhonov regularization method for identifying a space-dependent source in the time-fractional diffusion equation ⋮ The truncation method for identifying an unknown source in the Poisson equation ⋮ Identifying an unknown source term in a time-space fractional parabolic equation ⋮ Quasi-reversibility method to identify a space-dependent source for the time-fractional diffusion equation ⋮ Cauchy problem of non-homogenous stochastic heat equation and application to inverse random source problem ⋮ Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain ⋮ The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations ⋮ Determination of a time-dependent heat source under not strengthened regular boundary and integral overdetermination conditions ⋮ A direct parallel-in-time quasi-boundary value method for inverse space-dependent source problems

Cites Work

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