Recover the solute concentration from source measurement and boundary data

DOI10.1080/17415977.2014.991728zbMath1326.65127OpenAlexW1964568932MaRDI QIDQ3456550

Guang-Hui Zheng

Publication date: 9 December 2015

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2014.991728

zbMATH Keywords

Fourier transformregularization methodCaputo fractional derivativeconvergence estimatesolute concentrationconcentration identification problemtime-fractional inhomogeneous diffusion equation

Mathematics Subject Classification ID

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) Fractional partial differential equations (35R11)

Related Items (3)

Recovery of the solute concentration and dispersion flux in an inhomogeneous time fractional diffusion equation ⋮ A quasi-reversibility method for solving a two-dimensional time-fractional inverse heat conduction problem ⋮ Regularization of a sideways problem for a time-fractional diffusion equation with nonlinear source

Cites Work

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• Some aspects of fractional diffusion equations of single and distributed order
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• Implicit finite difference approximation for time fractional diffusion equations
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• The fractional diffusion equation
• Regularization strategies for a two-dimensional inverse heat conduction problem
• From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
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