Determination of a source term in a heat equation

DOI10.1080/00207160802044126zbMath1191.65127OpenAlexW1994872615MaRDI QIDQ3568434

Baiyu Wang, Jin-Bo Liu, Zhen-Hai Liu

Publication date: 11 June 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802044126

zbMATH Keywords

heat equationinverse problemnumerical examplesfinite-difference methodunknown sourcetrace-type functional

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 (8)

Identification of a time dependent source function in a parabolic inverse problem via finite element approach ⋮ A new approximate method for an inverse time-dependent heat source problem using fundamental solutions and RBFs ⋮ A meshless method for solving 1D time-dependent heat source problem ⋮ Detection of time-varying heat sources using an analytic forward model ⋮ Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions ⋮ Moving least squares method for a one-dimensional parabolic inverse problem ⋮ A meshless method to the numerical solution of an inverse reaction–diffusion–convection problem ⋮ Determination of a time-dependent heat source under not strengthened regular boundary and integral overdetermination conditions

Cites Work

• Unnamed Item
• An inverse source problem for the heat equation
• On the identification of coefficients of semilinear parabolic equations
• The boundary-element method for the determination of a heat source dependent on one variable
• Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
• On problems of determining the source function in a parabolic equation
• Numerical solution of the inverse problem of determining an unknown source term in a heat equation

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