Simultaneous determination of a time-dependent heat source and the initial temperature in an inverse heat conduction problem

DOI10.1080/17415977.2012.701626zbMath1281.65126OpenAlexW1990697784WikidataQ56926954 ScholiaQ56926954MaRDI QIDQ2872697

Ting Wei, Jin Wen, Masahiro Yamamoto

Publication date: 15 January 2014

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

Full work available at URL: https://doi.org/10.1080/17415977.2012.701626

zbMATH Keywords

numerical exampleTikhonov regularizationradial basis functioninverse heat conduction problemmethod of fundamental solutionsbackward heat conduction

Mathematics Subject Classification ID

Related Items (13)

Inverse source problem of heat conduction equation with time-dependent diffusivity on a spherical symmetric domain ⋮ Asymptotic analysis of the conventional and invariant schemes for the method of fundamental solutions applied to potential problems in doubly-connected regions ⋮ Simultaneous determination of the space-dependent source and the initial distribution in a heat equation by regularizing Fourier coefficients of the given measurements ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation ⋮ Simultaneous determination of the space-dependent source and initial value for a two-dimensional heat conduction equation ⋮ A decoupled physics-informed neural network for recovering a space-dependent force function in the wave equation from integral overdetermination data ⋮ A non-iterative method for recovering the space-dependent source and the initial value simultaneously in a parabolic equation ⋮ Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one‐dimensional heat equation ⋮ A Gaussian RBFs method with regularization for the numerical solution of inverse heat conduction problems ⋮ The approximate solutions to source inverse problem of 1-D convection–diffusion equation by LS-SVM ⋮ The method of fundamental solution for the inverse source problem for the space-fractional diffusion equation ⋮ Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation

Uses Software

• Regularization tools

Cites Work

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