Thermal diffusivity estimation using numerical inverse solution for 1D heat conduction

DOI10.1016/j.ijheatmasstransfer.2009.07.029zbMath1177.80062OpenAlexW2115034827MaRDI QIDQ1046364

Neven Ukrainczyk

Publication date: 21 December 2009

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijheatmasstransfer.2009.07.029

zbMATH Keywords

inverse problemporous mediumLevenberg-Marquardt methodthermal diffusivity

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Sensitivity, stability, well-posedness (49K40) Optimization problems in thermodynamics and heat transfer (80M50) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items

Inverse heat transfer analysis of radiator central heating systems inside residential buildings using sensitivity analysis ⋮ A thermal diffusivity determination method using thermography: theoretical background and verification

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• The MATLAB ODE Suite
• A Method for the Spatial Discretization of Parabolic Equations in One Space Variable
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Information ist Energie
• A method for the solution of certain non-linear problems in least squares
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