A finite-volume scheme for fractional diffusion on bounded domains

We propose a new fractional Laplacian for bounded domains, expressed as a conservation law and thus particularly suited to finite-volume schemes. Our approach permits the direct prescription of no-flux boundary conditions. We first show the well-posedness theory for the fractional heat equation. We...

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Bibliographic Details
Main Authors: Bailo, R, Carrillo, JA, Fronzoni, S, Gómez-Castro, D
Format: Journal article
Language:English
Published: Cambridge University Press 2024