An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization
DOI10.1016/j.jmaa.2012.03.013zbMath1245.35144OpenAlexW2076078611MaRDI QIDQ432358
Qian Zhou, Benny Y. C. Hon, Xiang-Tuan Xiong
Publication date: 4 July 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.013
regularizationnumerical approximationill-posednessstability estimatetime-fractional diffusion equation
Stability in context of PDEs (35B35) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11)
Related Items (29)
Cites Work
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- A fractional calculus interpretation of the fractional volatility model
- Spectral regularization method for a Cauchy problem of the time fractional advection-dispersion equation
- Fractional diffusion equations by the Kansa method
- Stable numerical solution of a fractional-diffusion inverse heat conduction problem
- A computational method for inverse free boundary determination problem
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- Optimal stable approximations for the sideways heat equation
- Optimality for ill-posed problems under general source conditions
- Wavelet and Fourier Methods for Solving the Sideways Heat Equation
- A spectral method for solving the sideways heat equation
- Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient
- Regularization strategies for a two-dimensional inverse heat conduction problem
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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