Modeling the one-dimensional inverse heat transfer problem using a Haar wavelet collocation approach

DOI10.1016/j.physa.2019.03.040OpenAlexW2922605633MaRDI QIDQ2159585

Yanyan Li

Publication date: 2 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.03.040

zbMATH Keywords

noisy dataTikhonov regularization methodill-posed inverse problemsHaar basis method

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

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• Existence and uniqueness of a solution for a two dimensional nonlinear inverse diffusion problem
• Removal of numerical instability in the solution of an inverse heat conduction problem
• Numerical solution of evolution equations by the Haar wavelet method
• A numerical technique for solving IHCPs using Tikhonov regularization method
• Haar wavelet method for solving Fisher's equation
• Numerical solution of differential equations using Haar wavelets
• Numerical solution of fractional differential equations using Haar wavelet operational matrix method
• Applications of Haar basis method for solving some ill-posed inverse problems
• Numerical investigation of the pseudopotential lattice Boltzmann modeling of liquid-vapor for multi-phase flows
• A wavelet multi-scale method for the inverse problem of diffuse optical tomography
• A numerical method for solving a nonlinear inverse parabolic problem
• Haar wavelet approach to nonlinear stiff systems

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