Landweber iterative method for an inverse source problem of space-fractional diffusion equations
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Publication:6608529
DOI10.1007/978-3-031-35675-9_3MaRDI QIDQ6608529
Maatoug Hassine, Mohamed Oudi Bensalah
Publication date: 20 September 2024
Ill-posedness and regularization problems in numerical linear algebra (65F22) Boundary value problems for second-order elliptic equations (35J25) 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) Numerical analysis (65-XX)
Cites Work
- Unnamed Item
- Fractional elliptic equations, Caccioppoli estimates and regularity
- High-order finite element methods for time-fractional partial differential equations
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Inverse source problem for a space-time fractional diffusion equation
- Waiting-times and returns in high-frequency financial data: An empirical study
- An inverse problem study related to a fractional diffusion equation
- Finite element approximations for fractional evolution problems
- Identifying an unknown source in a space-fractional diffusion equation
- Determination of the initial density in nonlocal diffusion from final time measurements
- Maximum principle and its application for the time-fractional diffusion equations
- The method of fundamental solution for the inverse source problem for the space-fractional diffusion equation
- An inverse source problem for a one-dimensional space–time fractional diffusion equation
- A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- Inverse source problem for a diffusion equation involving the fractional spectral Laplacian
- Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations
- Convergence rates for the quasi-reversibility method to solve the Cauchy problem for Laplace's equation
- Numerical method in reproducing kernel space for an inverse source problem for the fractional diffusion equation
- An Iteration Formula for Fredholm Integral Equations of the First Kind
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Numerical methods for fractional diffusion
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