Uniqueness and numerical scheme for the Robin coefficient identification of the time-fractional diffusion equation

DOI10.1016/j.camwa.2018.03.017zbMath1419.65047OpenAlexW2794479428MaRDI QIDQ2001292

Jun-Gang Wang, Yu-Hong Ran, Zhan-Bin Yuan

Publication date: 3 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.03.017

zbMATH Keywords

inverse problemuniquenessfractional diffusion equationRobin coefficient

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) 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) Fractional partial differential equations (35R11)

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Cites Work

• Variational formulation and optimal control of fractional diffusion equations with Caputo derivatives
• Implicit finite difference approximation for time fractional diffusion equations
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• Determination of Robin coefficient in a fractional diffusion problem
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• Optimization theory and methods. Nonlinear programming
• Existence and uniqueness of the solution for a time-fractional diffusion equation
• Numerical identification of a Robin coefficient in parabolic problems
• Robin coefficient identification for a time-fractional diffusion equation
• The identification of a Robin coefficient by a conjugate gradient method
• Determination of a Robin coefficient in semilinear parabolic problems by means of boundary measurements
• Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem
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