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...
Main Authors: | , , , |
---|---|
Format: | Journal article |
Language: | English |
Published: |
Cambridge University Press
2024
|