Numerical Methods for the Fractional Laplacian: a Finite Difference-quadrature Approach

Yanghong Huang, Adam Oberman

The fractional Laplacian $(-\Delta {)}^{\alpha /2}$ is a non-local operator which depends on the parameter $\alpha$ and recovers the usual Laplacian as $\alpha \to 2$. A numerical method for the fractional…