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math.NA2025
Fourier Spectral Method for Nonlocal Equations on Bounded Domains
Ilyas Mustapha, Bacim Alali, Nathan Albin
This work introduces efficient and accurate spectral solvers for nonlocal equations on bounded domains. These spectral solvers exploit the fact that integration in the nonlocal for…
math.NA2024★ 1 cited
An efficient proximal-based approach for solving nonlocal Allen-Cahn equations
Olena Burkovska, Ilyas Mustapha
In this work, we present an efficient approach for the spatial and temporal discretization of the nonlocal Allen-Cahn equation, which incorporates various double-well potentials an…