Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain
From MaRDI portal
Publication:2057492
DOI10.1186/s13662-020-2542-1zbMath1482.35269OpenAlexW3031745343MaRDI QIDQ2057492
Fan Yang, Pan Zhang, Xin-Yi Ma, Xiao-Xiao Li
Publication date: 6 December 2021
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-2542-1
Fractional derivatives and integrals (26A33) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) 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 (10)
Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method ⋮ Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain ⋮ Identifying the space source term problem for time-space-fractional diffusion equation ⋮ Parameter estimation for a class of radial basis function-based nonlinear time-series models with moving average noises ⋮ Three‐stage least squares‐based iterative estimation algorithms for bilinear state‐space systems based on the bilinear state estimator ⋮ Two‐stage recursive identification algorithms for a class of nonlinear time series models with colored noise ⋮ Three‐stage forgetting factor stochastic gradient parameter estimation methods for a class of nonlinear systems ⋮ Two-stage gradient-based iterative algorithm for bilinear stochastic systems over the moving data window ⋮ Unnamed Item ⋮ The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Data regularization for a backward time-fractional diffusion problem
- A new regularization method for a Cauchy problem of the time fractional diffusion equation
- Stable numerical solution to a Cauchy problem for a time fractional diffusion equation
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Mittag-Leffler functions and their applications
- Spectral regularization method for a Cauchy problem of the time fractional advection-dispersion equation
- Implicit difference approximation for the time fractional diffusion equation
- Source term identification for an axisymmetric inverse heat conduction problem
- Implicit finite difference approximation for time fractional diffusion equations
- Recent applications of fractional calculus to science and engineering
- A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
- On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
- On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations
- The extended fractional Caputo-Fabrizio derivative of order \(0\leq \sigma <1\) on \(C_{\mathbb{R}}[0,1\) and the existence of solutions for two higher-order series-type differential equations]
- Tikhonov regularization method for a backward problem for the time-fractional diffusion equation
- Cauchy problem for fractional diffusion equations
- Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
- A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain
- On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
- On high order fractional integro-differential equations including the Caputo-Fabrizio derivative
- An efficient analytical approach for fractional equal width equations describing hydro-magnetic waves in cold plasma
- Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
- The quasi-boundary value method for identifying the initial value of heat equation on a columnar symmetric domain
- Quasi-reversibility method to identify a space-dependent source for the time-fractional diffusion equation
- The quasi-reversibility regularization method for identifying the unknown source for time fractional diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Positive solutions for a boundary value problem of fractional differential equation with \(p\)-Laplacian operator
- Some existence results on nonlinear fractional differential equations
- An optimal method for fractional heat conduction problem backward in time
- A mollification regularization method for unknown source in time-fractional diffusion equation
- Inverse source problem for a fractional diffusion equation
- On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law
- The truncation method for the Cauchy problem of the inhomogeneous Helmholtz equation
- Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
- A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- New aspects of fractional Biswas–Milovic model with Mittag-Leffler law
- On the local fractional wave equation in fractal strings
- Regularization by projection for a backward problem of the time-fractional diffusion equation
- From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
- Numerical method in reproducing kernel space for an inverse source problem for the fractional diffusion equation
- The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
- A backward problem for the time-fractional diffusion equation
- An introduction to the mathematical theory of inverse problems
This page was built for publication: Tikhonov regularization method for identifying the space-dependent source for time-fractional diffusion equation on a columnar symmetric domain
