A Fully Spectral Space-Time Collocation Method for Two-Dimensional Allen-Cahn Equations with Tempered Space-Fractional Diffusion
We develop a fully spectral ultraspherical collocation method for the numerical solution of two-dimensional tempered space-fractional Allen-Cahn equations. The scheme combines a tensor-product ultraspherical collocation discretization in the spatial variables with an ultraspherical-Gauss-Radau collocation method in tim...