Determination of the time-dependent reaction coefficient and the heat flux in a nonlinear inverse heat conduction problem

DOI10.1080/00207160.2018.1556790zbMath1499.65475OpenAlexW2904266092WikidataQ61821515 ScholiaQ61821515MaRDI QIDQ5031735

Lijun Zhuo, Songhe Meng, Mansur I. Ismailov, Ibrahim Tekin, Daniel Lesnic

Publication date: 16 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/139566/1/kaya.pdf

zbMATH Keywords

conjugate gradient methodinverse heat conduction problemnonlinear sourceinverse heat source problemeigenfunction series expansion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items

Implementation of DRBEM for the determination of the heat flux in an inverse problem, Direct and inverse problems for a 2D heat equation with a Dirichlet-Neumann-Wentzell boundary condition

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