A quadrature scheme for steady-state diffusion equations involving fractional power of regularly accretive operator

Beiping Duan, Zongze Yang

In this paper, we construct a quadrature scheme to numerically solve the nonlocal diffusion equation $({\mathcal{A}}^{\alpha }+b\mathcal{I})u=f$ with ${\mathcal{A}}^{\alpha }$ the $\alpha$-th power of the…