Reconstruction of moving boundary for one-dimensional heat conduction equation by using the Lie-group shooting method

DOI10.1080/17415977.2011.605882zbMath1254.65102OpenAlexW2030087983WikidataQ115295105 ScholiaQ115295105MaRDI QIDQ3167877

Chein-Shan Liu

Publication date: 29 October 2012

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

Full work available at URL: https://doi.org/10.1080/17415977.2011.605882

zbMATH Keywords

inverse problemnumerical exampleserror boundsnumerical differentiationheat conduction equationadvection-diffusion equationLie-group shooting methodmoving boundary identificationtime-dependent moving boundary

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (3)

Singular boundary method for inverse heat conduction problems in general anisotropic media ⋮ Reconstruction of dynamically changing boundary of multilayer heat conduction composite walls ⋮ A homogenization method to solve inverse Cauchy–Stefan problems for recovering non-smooth moving boundary, heat flux and initial value

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