Solving the backward problem for space-fractional diffusion equation by a fractional Tikhonov regularization method
From MaRDI portal
Publication:1997093
DOI10.1016/j.matcom.2017.12.005OpenAlexW2781852823MaRDI QIDQ1997093
Guang-Hui Zheng, Quan-Guo Zhang
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.2017.12.005
backward problemfractional Laplaciana posteriori parameter choiceconvergence rate estimatefractional Tikhonov regularization method
Related Items (8)
Solving the backward problem in Riesz-Feller fractional diffusion by a new nonlocal regularization method ⋮ Regularization technique for an inverse space-fractional backward heat conduction problem ⋮ Regularization of a backward problem for composite fractional relaxation equations ⋮ Numerical methods for the forward and backward problems of a time-space fractional diffusion equation ⋮ Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant ⋮ On a time-space fractional backward diffusion problem with inexact orders ⋮ Determination of initial distribution for a space-fractional diffusion equation with time-dependent diffusivity ⋮ Solving the Riesz-Feller space-fractional backward diffusion problem by a generalized Tikhonov method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new \textit{a posteriori} parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem
- Fractional Tikhonov regularization for linear discrete ill-posed problems
- Fractional order signal processing. Introductory concepts and applications.
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
- A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Some recent advances in theory and simulation of fractional diffusion processes
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional (space--time) diffusion equation on comb-like model
- Regularization methods for unknown source in space fractional diffusion equation
- Numerical identification of multiparameters in the space fractional advection dispersion equation by final observations
- Fractional order differentiation and robust control design: CRONE, H-infinity and motion control.
- Fractional thermoelasticity
- Application of modified decomposition method for the analytical solution of space fractional diffusion equation
- Two regularization methods for solving a Riesz–Feller space-fractional backward diffusion problem
- A coupled method for inverse source problem of spatial fractional anomalous diffusion equations
- Fractional Partial Differential Equations and Their Numerical Solutions
- A regularization for a Riesz–Feller space-fractional backward diffusion problem
- Modulus of continuity for conditionally stable ill-posed problems in Hilbert space
- A generalized master equation approach to modelling anomalous transport in animal movement
- The fundamental solution of the space-time fractional diffusion equation
- Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation
- An inverse problem for space‐fractional backward diffusion problem
- Stochastic Calculus for Fractional Brownian Motion and Applications
- Regularization by fractional filter methods and data smoothing
- Fractional diffusion: probability distributions and random walk models
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Solving the backward problem for space-fractional diffusion equation by a fractional Tikhonov regularization method