Determination of the Time-Dependent Thermal Conductivity in the Heat Equation with Spacewise Dependent Heat Capacity

DOI10.1007/978-3-319-20239-6_22zbMath1359.65178OpenAlexW2285461226MaRDI QIDQ2942209

M. S. Hussein, Daniel Lesnic

Publication date: 20 August 2015

Published in: Finite Difference Methods,Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-20239-6_22

zbMATH Keywords

inverse problemfinite-difference methodthermal conductivity

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (2)

Multiple time-dependent coefficient identification thermal problems with a free boundary ⋮ Existence and uniqueness of an inverse memory kernel for an integro-differential parabolic equation with free boundary

Uses Software

• Matlab
• lsqnonlin

Cites Work

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• Determination of an unknown coefficient in a nonlinear heat equation
• Regularization algorithm within two parameters for the identification of the heat conduction coefficient in the parabolic equation
• Determination of a time-dependent diffusivity from nonlocal conditions
• Determining Unknown Coefficients in a Nonlinear Heat Conduction Problem

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