Boundary conditions for two-sided fractional diffusion

•Two-sided fractional diffusion equations are written in conservation form.•Mass-preserving, reflecting boundary conditions for these diffusion equations are a combination of fractional derivatives.•Stable explicit and implicit Euler schemes for two-sided fractional diffusion equations with any comb...

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Veröffentlicht in:	Journal of computational physics 2019-01, Vol.376, p.1089-1107
Hauptverfasser:	Kelly, James F., Sankaranarayanan, Harish, Meerschaert, Mark M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Calculus Computational physics Derivatives Diffusion Fluxes Fractional calculus Fractions Numerical analysis Numerical methods Riesz derivative Stability analysis Steady state Systems stability
Online-Zugang:	Volltext
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