Boundary conditions for fractional diffusion (Q1696458)

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Language	Label	Description	Also known as
English	Boundary conditions for fractional diffusion	scientific article

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scholarly article

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Boundary conditions for fractional diffusion (English)

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Mihály Kovács

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Mark M. Meerschaert

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Harish Sankaranarayanan

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Journal of Computational and Applied Mathematics

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publication date

14 February 2018

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full work available at URL

https://arxiv.org/abs/1706.07991

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zbMATH Keywords

fractional calculus

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boundary value problem

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numerical solution

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well-posed

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Fractional Calculus

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Fractals and fractional calculus in continuum mechanics

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The random walk's guide to anomalous diffusion: A fractional dynamics approach

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The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Fractional vector calculus and fractional Maxwell's equations

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Fractional kinetic equation for Hamiltonian chaos

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Chaos, fractional kinetics, and anomalous transport

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The relationship between node degree and dissipation rate in networks of diffusively coupled oscillators and its significance for pancreatic beta cells

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A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations

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A predictor-corrector approach for the numerical solution of fractional differential equations

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Least squares finite-element solution of a fractional order two-point boundary value problem

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Numerical solution of the space fractional Fokker-Planck equation.

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Numerical methods for the solution of partial differential equations of fractional order.

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Finite difference approximations for fractional advection-dispersion flow equations

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Finite difference approximations for two-sided space-fractional partial differential equations

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Finite difference methods for two-dimensional fractional dispersion equation

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Numerical methods for nonlinear partial differential equations of fractional order

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Matrix approach to discrete fractional calculus. II: Partial fractional differential equations

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A second-order accurate numerical approximation for the fractional diffusion equation

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Inhomogeneous Dirichlet Boundary-Value Problems of Space-Fractional Diffusion Equations and their Finite Element Approximations

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An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations

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A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model

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Space‐time fractional Dirichlet problems

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Fractional diffusion on bounded domains

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Variational formulation of problems involving fractional order differential operators

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A Lyapunov-type inequality for a fractional boundary value problem

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Fractional diffusion with Neumann boundary conditions: the logistic equation

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Block pulse functions for solving fractional Poisson type equations with Dirichlet and Neumann boundary conditions

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Fractals and quantum mechanics

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A finite difference method for fractional diffusion equations with Neumann boundary conditions

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Wellposedness of Neumann boundary-value problems of space-fractional differential equations

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An exact solution of a limit case Stefan problem governed by a fractional diffusion equation

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On fully mixed and multidimensional extensions of the Caputo and Riemann-Liouville derivatives, related Markov processes and fractional differential equations

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The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets

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Fractional Fokker-Planck-Kolmogorov equations associated with SDEs on a bounded domain

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Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

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On reflecting boundary conditions for space-fractional equations on a finite interval: proof of the matrix transfer technique

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Stochastic models for fractional calculus

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Higher order Grünwald approximations of fractional derivatives and fractional powers of operators

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Fractional partial differential equations with boundary conditions

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Intertwining certain fractional derivatives

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Reflected spectrally negative stable processes and their governing equations

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One-Parameter Semigroups for Linear Evolution Equations

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Vector-valued Laplace Transforms and Cauchy Problems

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Identifiers

zbMATH Open document ID

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10.1016/j.cam.2017.12.053

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1696458

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