A Lie-group shooting method for reconstructing a past time-dependent heat source

DOI10.1016/j.ijheatmasstransfer.2011.11.034zbMath1262.80086OpenAlexW2122786775WikidataQ115352225 ScholiaQ115352225MaRDI QIDQ1948365

Chein-Shan Liu

Publication date: 3 May 2013

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

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/242396/-1/54.pdf

zbMATH Keywords

inverse problemtime-dependent heat sourceLie-group shooting methodheat source identificationinverse heat source backward heat conduction problem (IHSBHCP)

Mathematics Subject Classification ID

System identification (93B30) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Inverse problems in thermodynamics and heat transfer (80A23) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)

Related Items (8)

Solution to a class of inverse problems for a system of loaded ordinary differential equations with integral conditions ⋮ A Lie-group adaptive differential quadrature method to identify an unknown force in an Euler-Bernoulli beam equation ⋮ A meshless method for solving 1D time-dependent heat source problem ⋮ Numerical solution to a class of inverse problems for parabolic equation ⋮ An iterative algorithm for identifying heat source by using a DQ and a Lie-group method ⋮ An approach to numerical solution of some inverse problems for parabolic equations ⋮ Numerical method for solving the parametric identification problem for loaded differential equations ⋮ Solution to classes of inverse coefficient problems and problems with nonlocal conditions for parabolic equations

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