A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature

DOI10.1016/j.ijheatmasstransfer.2008.09.021zbMath1157.80395OpenAlexW2057873916MaRDI QIDQ1009847

Chein-Shan Liu

Publication date: 3 April 2009

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijheatmasstransfer.2008.09.021

zbMATH Keywords

inverse problemtime-dependent heat sourcetwo-stage Lie-group shooting method

Mathematics Subject Classification ID

Related Items (33)

Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation ⋮ Reconstruction of moving boundary for one-dimensional heat conduction equation by using the Lie-group shooting method ⋮ A posteriori truncated regularization method for identifying unknown heat source on a spherical symmetric domain ⋮ The inverse source problem for time-fractional diffusion equation: stability analysis and regularization ⋮ Finding unknown heat source in a nonlinear Cauchy problem by the Lie-group differential algebraic equations method ⋮ A Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equation ⋮ Numerical identification of source terms for a two dimensional heat conduction problem in polar coordinate system ⋮ A meshless method for solving 1D time-dependent heat source problem ⋮ A mollification regularization method for unknown source in time-fractional diffusion equation ⋮ An \textit{a posteriori} Fourier regularization method for identifying the unknown source of the space-fractional diffusion equation ⋮ Numerical solution to a class of inverse problems for parabolic equation ⋮ A quasi-boundary value regularization method for determining the heat source ⋮ An iterative algorithm for identifying heat source by using a DQ and a Lie-group method ⋮ Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation ⋮ The method of simplified Tikhonov regularization for dealing with the inverse time-dependent heat source problem ⋮ A mollification regularization method for identifying the time-dependent heat source problem ⋮ The method of central difference for the inverse time-dependent heat source problem ⋮ The Lie-group shooting method for solving the Bratu equation ⋮ A geometric approach for solving Troesch's problem ⋮ A new numerical method for the inverse source problem from a Bayesian perspective ⋮ A mollification regularization method for the inverse spatial-dependent heat source problem ⋮ A self-adaptive LGSM to recover initial condition or heat source of one-dimensional heat conduction equation by using only minimal boundary thermal data ⋮ Solving two typical inverse Stefan problems by using the Lie-group shooting method ⋮ Application of the method of fundamental solutions and radial basis functions for inverse transient heat source problem ⋮ Two regularization methods to identify time-dependent heat source through an internal measurement of temperature ⋮ A two-stage Lie-group shooting method (TSLGSM) to identify time-dependent thermal diffusivity ⋮ A highly accurate LGSM for severely ill-posed BHCP under a large noise on the final time data ⋮ The revised generalized Tikhonov regularization for the inverse time-dependent heat source problem ⋮ IDENTIFICATION OF THE SOURCE FOR FULL PARABOLIC EQUATIONS ⋮ The determination of heat sources in two dimensional inverse steady heat problems by means of the method of fundamental solutions ⋮ An approach to numerical solution of some inverse problems for parabolic equations ⋮ Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain ⋮ The quasi-reversibility regularization method for identifying the unknown source for time fractional diffusion equation

Cites Work

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• The method of fundamental solutions for the inverse heat source problem
• Cone of non-linear dynamical system and group preserving schemes
• A new shooting method for quasi-boundary regularization of backward heat conduction problems
• An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature
• A two-stage LGSM for three-point BVPs of second-order ODEs
• One-step GPS for the estimation of temperature-dependent thermal conductivity
• Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation
• The boundary-element method for the determination of a heat source dependent on one variable
• An Efficient Simultaneous Estimation of Temperature-Dependent Thermophysical Properties
• A group preserving scheme for inverse heat conduction problems
• An Efficient Backward Group Preserving Scheme for the Backward in Time Burgers Equation
• Structural identification of an unknown source term in a heat equation
• Parameter identification for an elliptic partial differential equation with distributed noisy data
• Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
• On problems of determining the source function in a parabolic equation
• The radial basis functions method for identifying an unknown parameter in a parabolic equation with overspecified data
• Identification of temperature‐dependent thermophysical properties in a partial differential equation subject to extra final measurement data
• Identification of source locations in two-dimensional heat equations

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