Optimal regularization for an unknown source of space-fractional diffusion equation
From MaRDI portal
Publication:2008913
DOI10.1016/j.amc.2018.12.030zbMath1429.65221OpenAlexW2912407952WikidataQ128469909 ScholiaQ128469909MaRDI QIDQ2008913
Dang Minh Nguyen, Dinh Nguyen Duy Hai, Dang Duc Trong
Publication date: 26 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.12.030
regularizationill-posed problemspace-fractional backward diffusion problemorder optimal error bounds
Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Linear operators and ill-posed problems, regularization (47A52) Fractional partial differential equations (35R11)
Related Items
Reconstruction of a space-dependent source in the inexact order time-fractional diffusion equation, Identifying a space-dependent source term in distributed order time-fractional diffusion equations, On Tikhonov's method and optimal error bound for inverse source problem for a time-fractional diffusion equation, A nonstationary iterated quasi-boundary value method for reconstructing the source term in a time-space fractional diffusion equation, Filter regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem with temporally dependent thermal conductivity, An inverse source problem of space-fractional diffusion equation, Identifying an unknown source term in a time-space fractional parabolic equation, A modified Tikhonov regularization for unknown source in space fractional diffusion equation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
- Improved and more feasible numerical methods for Riesz space fractional partial differential equations
- A new \textit{a posteriori} parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem
- Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Some recent advances in theory and simulation of fractional diffusion processes
- Recent applications of fractional calculus to science and engineering
- Numerical solution of the space fractional Fokker-Planck equation.
- An optimal regularization method for space-fractional backward diffusion problem
- Vectorized adaptive quadrature in MATLAB
- Finite difference approximations for two-sided space-fractional partial differential equations
- The Dirichlet problem for the fractional \(p\)-Laplacian evolution equation
- Two regularization methods for solving a Riesz–Feller space-fractional backward diffusion problem
- An inverse source problem for a one-dimensional space–time fractional diffusion equation
- Fractional Partial Differential Equations and Their Numerical Solutions
- A regularization for a Riesz–Feller space-fractional backward diffusion problem
- The inverse source problem for time-fractional diffusion equation: stability analysis and regularization
- Lévy Processes and Stochastic Calculus
- A Fast Method for the Numerical Evaluation of Continuous Fourier and Laplace Transforms
- Optimality for ill-posed problems under general source conditions
- The fundamental solution of the space-time fractional diffusion equation
- An inverse problem for space‐fractional backward diffusion problem
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
