Numerical inversion of the fractional derivative index and surface thermal flux for an anomalous heat conduction model in a multi-layer medium

DOI10.1016/j.apm.2018.01.045zbMath1480.35389OpenAlexW2792033448MaRDI QIDQ2295882

Fawang Liu, Xiuling Hu, Shanzhen Chen, Ian W. Turner

Publication date: 17 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://eprints.qut.edu.au/116143/1/1-s2.0-S0307904X1830057X-main.pdf

zbMATH Keywords

inverse problemcomposite materialanomalous heat conductionLevenberg-Marquardt regularizationthe balance method

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

Related Items (5)

An investigation of space distributed-order models for simulating anomalous transport in a binary medium ⋮ A superstatistical model for anomalous heat conduction and diffusion ⋮ Parameter and state estimation of nonlinear fractional-order model using Luenberger observer ⋮ Fully parametric identification for continuous time fractional order Hammerstein systems ⋮ Normalized fractional adaptive methods for nonlinear control autoregressive systems

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