RECOVERY OF THE TEMPERATURE DISTRIBUTION IN A MULTILAYER FRACTIONAL DIFFUSION EQUATION

DOI10.1017/S000497271900011XOpenAlexW2915161432WikidataQ128358884 ScholiaQ128358884MaRDI QIDQ5232898

Hieu T. Tran, Hong B. Q. Nguyen, Luan N. Tran, Khanh Q. Tra

Publication date: 13 September 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497271900011x

zbMATH Keywords

ill-posed problemcomposite materialfractional diffusion equationFourier spectral method

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Linear operators and ill-posed problems, regularization (47A52)

Related Items (2)

Recovering the aqueous concentration in a multi-layer porous media ⋮ An inverse time-fractional diffusion problem with Robin boundary condition in two layers spherical domain

Cites Work

• An inverse problem for a fractional diffusion equation
• Modeling of financial processes with a space-time fractional diffusion equation of varying order
• Spectral regularization method for solving a time-fractional inverse diffusion problem
• The backward problem for a nonlinear Riesz-Feller diffusion equation
• Fourier regularization for a backward heat equation
• Recovery of the solute concentration and dispersion flux in an inhomogeneous time fractional diffusion equation
• A one-dimensional inverse problem in composite materials: regularization and error estimates
• Fractional Diffusion Equations and Anomalous Diffusion

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