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math.NA2022★ 1 cited
Analysis and Simulations of a Nonlocal Gray-Scott Model
Loic Cappanera, Gabriela Jaramillo, Cory Ward
The Gray-Scott model is a set of reaction-diffusion equations that describes chemical systems far from equilibrium. Interest in this model stems from its ability to generate spatio…
math.NA2020★ 1 cited
Numerical Methods for a Diffusive Class Nonlocal Operators
Loic Cappanera, Gabriela Jaramillo, Cory Ward
In this paper we develop a numerical scheme based on quadratures to approximate solutions of integro-differential equations involving convolution kernels, , of diffusive type. I…