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A. Alshabanat

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#diffusion models Sep 2026

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...

M. Zaky, A. Alshabanat, S. Ezz‐Eldien · 0 citations

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