An iterative algorithm for identifying heat source by using a DQ and a Lie-group method

DOI10.1080/17415977.2014.880907zbMath1328.65198OpenAlexW2006264422WikidataQ115295101 ScholiaQ115295101MaRDI QIDQ2938548

Chein-Shan Liu

Publication date: 14 January 2015

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

Full work available at URL: https://doi.org/10.1080/17415977.2014.880907

zbMATH Keywords

numerical exampleinverse problemCauchy problemiterative methodsemidiscretizationbackward heat conduction problemLie-group adaptive methodspace-dependent heat source identificationdifferential-quadrature (DQ) method

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (3)

A Haar wavelets based approximation for nonlinear inverse problems influenced by unknown heat source ⋮ Numerical simulation for an inverse source problem in a degenerate parabolic equation ⋮ Haar wavelets multi-resolution collocation analysis of unsteady inverse heat problems

Cites Work

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