Reconstruction of a moving boundary from Cauchy data in one-dimensional heat equation

DOI10.1080/17415970802231610zbMath1165.65387OpenAlexW2012207366MaRDI QIDQ3630084

Ting Wei, Masahiro Yamamoto

Publication date: 2 June 2009

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

Full work available at URL: http://www.informaworld.com/smpp/./content~db=all~content=a906484859

zbMATH Keywords

heat equationinverse problemCauchy problemnumerical examplesmoving boundaryTikhonov regularizationgeneralized cross-validationill-conditioned linear systemmethods of fundamental solutions

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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Uses Software

• Regularization tools

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