The method of simplified Tikhonov regularization for a time-fractional inverse diffusion problem
DOI10.1016/j.matcom.2017.08.004zbMath1484.65198OpenAlexW2751151029MaRDI QIDQ1996983
Fan Yang, Chu-Li Fu, Xiao-Xiao Li
Publication date: 1 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2017.08.004
error estimatea posteriori parameter choicesimplified Tikhonov methodtime-fractional inverse diffusion problem
Fractional derivatives and integrals (26A33) A priori estimates in context of PDEs (35B45) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) 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)
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Cites Work
- Unnamed Item
- Identifying an unknown source in time-fractional diffusion equation by a truncation method
- A new regularization method for a Cauchy problem of the time fractional diffusion equation
- An inverse problem for a fractional diffusion equation
- Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
- Spectral regularization method for the time fractional inverse advection-dispersion equation
- A simplified Tikhonov regularization method for determining the heat source
- A new regularization method for solving a time-fractional inverse diffusion problem
- A regularization method for solving the Cauchy problem for the Helmholtz equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Waiting-times and returns in high-frequency financial data: An empirical study
- Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
- A fractional diffusion equation to describe Lévy flights
- An optimal regularization method for space-fractional backward diffusion problem
- The quasi-reversibility regularization method for identifying the unknown source for time fractional diffusion equation
- A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem
- Time fractional IHCP with Caputo fractional derivatives
- Stable numerical solution of a fractional-diffusion inverse heat conduction problem
- A mollification regularization method for unknown source in time-fractional diffusion equation
- Two regularization methods for solving a Riesz–Feller space-fractional backward diffusion problem
- Optimal modified method for a fractional-diffusion inverse heat conduction problem
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- Determining Surface Temperatures from Interior Observations
- A backward problem for the time-fractional diffusion equation
- An introduction to the mathematical theory of inverse problems