Numerical inversions for diffusion coefficients in two-dimensional space fractional diffusion equation
From MaRDI portal
Publication:3122015
DOI10.1080/17415977.2017.1377705zbMath1409.65062OpenAlexW2761448569MaRDI QIDQ3122015
Publication date: 20 March 2019
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2017.1377705
inverse problemnumerical inversiondiffusion coefficient2D space fractional diffusion equationhomotopy regularization algorithm
Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)
Related Items
Numerical identification of the fractal orders in the generalized nonlocal elastic model, On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition
- A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations
- A review of operational matrices and spectral techniques for fractional calculus
- Space-fractional advection-dispersion equations by the Kansa method
- An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations
- Numerical inversions of a source term in the FADE with a Dirichlet boundary condition using final observations
- A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction
- A new operational matrix for solving fractional-order differential equations
- Numerical inversions for a nonlinear source term in the heat equation by optimal perturbation algorithm
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- The operational matrix of fractional integration for shifted Chebyshev polynomials
- Finite difference approximations for fractional advection-dispersion flow equations
- Regularization methods for unknown source in space fractional diffusion equation
- Boundary particle method for Laplace transformed time fractional diffusion equations
- An implicit numerical method for the two-dimensional fractional percolation equation
- One-dimensional equilibrium model and source parameter determination for soil-column experiment
- A novel implicit finite difference method for the one-dimensional fractional percolation equation
- A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients
- Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation
- A tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification
- Finite difference methods for two-dimensional fractional dispersion equation
- Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
- Inverse problem for fractional diffusion equation
- An inverse problem for a one-dimensional time-fractional diffusion problem
- Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems
- 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
- Carleman estimate for a fractional diffusion equation with half order and application
- Conditional stability in determining a zeroth-order coefficient in a half-order fractional diffusion equation by a Carleman estimate
- Inverse problem of diffusion equation by He's homotopy perturbation method
- Singular boundary method for inverse heat conduction problems in general anisotropic media
- A non-linear mathematical model for an undisturbed soil-column experiment and source parameter identification
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- A highly accurate collocation algorithm for 1 + 1 and 2 + 1 fractional percolation equations
- Numerical inversions for space-dependent diffusion coefficient in the time fractional diffusion equation
