2 papers
math.AP2026
Wellposedness and dynamics of two types of reaction--nonlocal diffusion systems under the inhomogeneous spectral fractional Laplacian
Pu Yuan, Paul A. Zegeling
Reactio-nonlocal diffusion equations model nonlocal transport and anomalous diffusion by replacing the Laplacian with a fractional power, capturing diffusion mechanisms beyond Brow…
math.NA2026
A preconditioned boundary value method for advection-diffusion equations with half Laplacian via spectrum doubling
Pu Yuan, Paul Zegeling, Xian-Ming Gu
In this paper, we study an evolution equation that involves a half-Laplacian operator derived from the Riesz fractional Laplacian, combined with a differential operator \(\mathcal{…