Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation
From MaRDI portal
Publication:2178836
DOI10.1007/s10444-020-09754-6zbMath1442.65229arXiv1812.04235OpenAlexW3098978063MaRDI QIDQ2178836
Yikan Liu, Dongling Wang, Daijun Jiang
Publication date: 11 May 2020
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.04235
finite element methodinverse source problemtime-fractional diffusion equationiterative thresholding algorithm
Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)
Related Items (11)
Reconstruction of pointwise sources in a time-fractional diffusion equation ⋮ Topological sensitivity method for reconstruction of the spatial component in the source term of a time-fractional diffusion equation ⋮ Reconstruction and stability analysis of potential appearing in time‐fractional subdiffusion ⋮ A nonstationary iterated quasi-boundary value method for reconstructing the source term in a time-space fractional diffusion equation ⋮ Reconstruction of the source term in a time-fractional diffusion equation from partial domain measurement ⋮ Inverse source problem for a space-time fractional diffusion equation ⋮ Identifying source term in the subdiffusion equation with L 2-TV regularization * ⋮ On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions ⋮ On the simultaneous reconstruction of boundary Robin coefficient and internal source in a slow diffusion system ⋮ Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation ⋮ A noniterative reconstruction method for solving a time-fractional inverse source problem from partial boundary measurements
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
- Inverse source problem with a final overdetermination for a fractional diffusion equation
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
- An inverse time-dependent source problem for a time-fractional diffusion equation
- Inverse source problem for a fractional diffusion equation
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- Fractional Differential Equations
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- Reconstruction of the temporal component in the source term of a (time-fractional) diffusion equation
- Long-time behavior of numerical solutions to nonlinear fractional ODEs
- Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
- A tutorial on inverse problems for anomalous diffusion processes
- Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Identification of a time-dependent source term for a time fractional diffusion problem
- Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
- Numerical Reconstruction of Heat Fluxes
- Galerkin Finite Element Methods for Parabolic Problems
- Mittag-Leffler Functions, Related Topics and Applications
- Numerical method in reproducing kernel space for an inverse source problem for the fractional diffusion equation
This page was built for publication: Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation
