A meshless method for reconstructing the heat source and partial initial temperature in heat conduction

DOI10.1080/17415977.2011.569711zbMath1244.65134OpenAlexW2035770597MaRDI QIDQ2891242

Jin Wen

Publication date: 13 June 2012

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

Full work available at URL: https://doi.org/10.1080/17415977.2011.569711

zbMATH Keywords

numerical experimentsill-posed probleminverse source problemTikhonov regularization methodmethod of fundamental solutionbackward heat conduction equation

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

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Simultaneous determination of the space-dependent source and initial value for a two-dimensional heat conduction equation ⋮ A Gaussian RBFs method with regularization for the numerical solution of inverse heat conduction problems ⋮ The method of fundamental solution for the inverse source problem for the space-fractional diffusion equation

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