On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions
From MaRDI portal
Publication:2063162
DOI10.1007/s10915-021-01704-8zbMath1481.35401OpenAlexW4200211236MaRDI QIDQ2063162
Ahmed S. Hendy, Karel Van Bockstal
Publication date: 10 January 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01704-8
Initial-boundary value problems for second-order parabolic equations (35K20) Variational methods applied to PDEs (35A15) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Integro-differential operators (47G20) Fractional partial differential equations (35R11)
Related Items
A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions, Inverse potential problem for a semilinear generalized fractional diffusion equation with spatio-temporal dependent coefficients, Identification of an unknown spatial source function in a multidimensional hyperbolic partial differential equation with interior degeneracy, Numerical recovery of a time-dependent potential in subdiffusion *, Optimal error analysis of space-time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel, Stability and numerical analysis of backward problem for subdiffusion with time-dependent coefficients
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inverse source problem with a final overdetermination for a fractional diffusion equation
- An inverse source problem in a semilinear time-fractional diffusion equation
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- A finite difference method for an anomalous sub-diffusion equation, theory and applications
- Automated solution of differential equations by the finite element method. The FEniCS book
- Numerical simulations of 2D fractional subdiffusion problems
- Frequency domain methods for Volterra equations
- Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation
- Initial-boundary value problems for fractional diffusion equations with time-dependent coefficients
- Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
- Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order)
- Identification of the time-dependent source term in a multi-term time-fractional diffusion equation
- Wavelet regularization strategy for the fractional inverse diffusion problem
- Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation
- Regularization technique for an inverse space-fractional backward heat conduction problem
- Identification of a time-dependent source term in a distributed-order time-fractional equation from a nonlocal integral observation
- On regularization and error estimates for the backward heat conduction problem with time-dependent thermal diffusivity factor
- On the ill-posed analytic continuation problem: an order optimal regularization scheme
- Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions
- Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions
- Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method
- A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Reconstruction of a time-dependent source term in a time-fractional diffusion equation
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- DOLFIN
- An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements
- REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
- The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
- A Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
- Numerical Analysis of Nonlinear Subdiffusion Equations
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations
- A tutorial on inverse problems for anomalous diffusion processes
- An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions
- Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
- A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
