1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
Regularity of Solutions for the Nonlocal Diffusion Equation on Periodic Distributions
Ilyas Mustapha, Bacim Alali, Nathan Albin
This work addresses the regularity of solutions for a nonlocal diffusion equation over the space of periodic distributions. The spatial operator for the nonlocal diffusion equation…
The Fundamental Group of Torus Knots
Ilyas Aderogba Mustapha, Paul Arnaud Songhafouo, Donald Stanley
This work is concerned with the calculation of the fundamental group of torus knots. Torus knots are special types of knots which wind around a torus a number of times in the longi…