On regularization and error estimates for the backward heat conduction problem with time-dependent thermal diffusivity factor

DOI10.1016/j.cnsns.2018.03.007OpenAlexW2763962996MaRDI QIDQ2207926

Milad Karimi, Fridoun Moradlou, Mojtaba Hajipour

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02665

zbMATH Keywords

multi-resolution analysisill-posed problembackward heat conductionMeyer wavelet

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Heat equation (35K05) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35) 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) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (7)

Regularization of ill-posed problems involving constant-coefficient pseudo-differential operators ⋮ Regularization technique for an inverse space-fractional backward heat conduction problem ⋮ DeepBHCP: deep neural network algorithm for solving backward heat conduction problems ⋮ On the ill-posed analytic continuation problem: an order optimal regularization scheme ⋮ The bi-Helmholtz equation with Cauchy conditions: ill-posedness and regularization methods ⋮ Wavelet regularization strategy for the fractional inverse diffusion problem ⋮ On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions

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