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math.NA2020★ 14 cited
An efficient spectral-Galerkin method for fractional reaction-diffusion equations in unbounded domains
Huifang Yuan
In this work, we apply a fast and accurate numerical method for solving fractional reaction-diffusion equations in unbounded domains. By using the Fourier-like spectral approach in…
math.NA2020★ 1 cited
On diagonal dominance of FEM stiffness matrix of fractional Laplacian and maximum principle preserving schemes for fractional Allen-Cahn equation
Hongyan Liu, Changtao Sheng, Li-Lian Wang +1
In this paper, we study diagonal dominance of the stiffness matrix resulted from the piecewise linear finite element discretisation of the integral fractional Laplacian under globa…