Applications of Haar basis method for solving some ill-posed inverse problems

DOI10.1007/s10910-012-0036-4zbMath1310.65114OpenAlexW1967251889MaRDI QIDQ1930469

S. Foadian, N. Tavallaie, Reza Pourgholi

Publication date: 11 January 2013

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-012-0036-4

zbMATH Keywords

heat equationnoisy datanumerical examplesTikhonov regularization methodill-posed inverse problemsHaar basis method

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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The inverse solution of the coupled nonlinear reaction–diffusion equations by the Haar wavelets ⋮ Solving an inverse heat conduction problem using genetic algorithm: sequential and multi-core parallelization approach ⋮ Modeling the one-dimensional inverse heat transfer problem using a Haar wavelet collocation approach ⋮ An efficient hybrid algorithm based on genetic algorithm (GA) and Nelder–Mead (NM) for solving nonlinear inverse parabolic problems ⋮ A Haar wavelets based approximation for nonlinear inverse problems influenced by unknown heat source ⋮ A new improved teaching-learning-based optimization (ITLBO) algorithm for solving nonlinear inverse partial differential equation problems ⋮ Unnamed Item ⋮ Spectral graph wavelet regularization and adaptive wavelet for the backward heat conduction problem ⋮ RESOLUTION OF AN INVERSE PROBLEM BY HAAR BASIS AND LEGENDRE WAVELET METHODS

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