Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation
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Publication:1678075
DOI10.1186/s13661-017-0898-2zbMath1386.35470OpenAlexW2767604109WikidataQ59527403 ScholiaQ59527403MaRDI QIDQ1678075
Dun-Gang Li, Xiao-Xiao Li, Yu-Peng Ren, Fan Yang
Publication date: 14 November 2017
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-017-0898-2
Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Linear operators and ill-posed problems, regularization (47A52)
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Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain, Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator, The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation, Unnamed Item, Identifying the source function for time fractional diffusion with non-local in time conditions, A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain, The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation, LANDWEBER ITERATIVE METHOD FOR AN INVERSE SOURCE PROBLEM OF TIME-FRACTIONAL DIFFUSION-WAVE EQUATION ON SPHERICALLY SYMMETRIC DOMAIN, Iteration regularization method for a sideways problem of time-fractional diffusion equation, Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation
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Cites Work
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- Identifying an unknown source in time-fractional diffusion equation by a truncation method
- Fractional semilinear equations with causal operators
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Mittag-Leffler functions and their applications
- Galerkin finite element approximation of symmetric space-fractional partial differential equations
- A simplified Tikhonov regularization method for determining the heat source
- A fractional calculus interpretation of the fractional volatility model
- Implicit difference approximation for the time fractional diffusion equation
- Fractional diffusion equations by the Kansa method
- Implicit finite difference approximation for time fractional diffusion equations
- A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature
- Determining an unknown source in the heat equation by a wavelet dual least squares method
- Property degradation of anisotropic composite laminates with matrix cracking. I: Constitutive relation developed for \((\theta_m/90_n)_s\) cracked laminates by st stiffness partition
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Tikhonov regularization method for a backward problem for the time-fractional diffusion equation
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
- Quasi-reversibility method to identify a space-dependent source for the time-fractional diffusion equation
- Time fractional IHCP with Caputo fractional derivatives
- Optimal error bound and Fourier regularization for identifying an unknown source in the heat equation
- Determination of a spacewise dependent heat source
- The boundary-element method for the determination of a heat source dependent on one variable
- A modified quasi-boundary value method for the backward time-fractional diffusion problem
- Fractional diffusion and wave equations
- Inverse source problem for a fractional diffusion equation
- The fractional diffusion equation
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
- An Iteration Formula for Fredholm Integral Equations of the First Kind
- A backward problem for the time-fractional diffusion equation
- Fractional diffusion: probability distributions and random walk models
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
