Reprint of: boundary conditions for fractional diffusion
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Publication:1748193
DOI10.1016/j.cam.2018.03.007OpenAlexW2792976974WikidataQ60580259 ScholiaQ60580259MaRDI QIDQ1748193
Harish Sankaranarayanan, Boris Baeumer, Mark M. Meerschaert, Mihály Kovács
Publication date: 9 May 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.03.007
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fractional partial differential equations (35R11)
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Cites Work
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- A finite difference method for fractional diffusion equations with Neumann boundary conditions
- Fractional diffusion with Neumann boundary conditions: the logistic equation
- Intertwining certain fractional derivatives
- Block pulse functions for solving fractional Poisson type equations with Dirichlet and Neumann boundary conditions
- An exact solution of a limit case Stefan problem governed by a fractional diffusion equation
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- Fractional vector calculus and fractional Maxwell's equations
- Fractional kinetic equation for Hamiltonian chaos
- Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Numerical methods for the solution of partial differential equations of fractional order.
- Numerical solution of the space fractional Fokker-Planck equation.
- Wellposedness of Neumann boundary-value problems of space-fractional differential equations
- Fractional Fokker-Planck-Kolmogorov equations associated with SDEs on a bounded domain
- Fractional partial differential equations with boundary conditions
- Least squares finite-element solution of a fractional order two-point boundary value problem
- Chaos, fractional kinetics, and anomalous transport
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Finite difference approximations for fractional advection-dispersion flow equations
- Fractional diffusion on bounded domains
- The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
- On reflecting boundary conditions for space-fractional equations on a finite interval: proof of the matrix transfer technique
- A Lyapunov-type inequality for a fractional boundary value problem
- Numerical methods for nonlinear partial differential equations of fractional order
- A second-order accurate numerical approximation for the fractional diffusion equation
- On fully mixed and multidimensional extensions of the Caputo and Riemann-Liouville derivatives, related Markov processes and fractional differential equations
- Finite difference methods for two-dimensional fractional dispersion equation
- Finite difference approximations for two-sided space-fractional partial differential equations
- Fractals and quantum mechanics
- Vector-valued Laplace Transforms and Cauchy Problems
- Reflected spectrally negative stable processes and their governing equations
- One-Parameter Semigroups for Linear Evolution Equations
- The relationship between node degree and dissipation rate in networks of diffusively coupled oscillators and its significance for pancreatic beta cells
- Space‐time fractional Dirichlet problems
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- Inhomogeneous Dirichlet Boundary-Value Problems of Space-Fractional Diffusion Equations and their Finite Element Approximations
- Fractional Calculus
- Higher order Grünwald approximations of fractional derivatives and fractional powers of operators
- Variational formulation of problems involving fractional order differential operators
- Stochastic models for fractional calculus
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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