a local rbf-fd scheme for the two-dimensional fractional integro-differential equation with weakly singular kernel

This paper presents a numerical solution for a two-dimensional fractional integro-differential equation featuring a weakly singular kernel. the temporal discretization is achieved through a finite difference technique combined with a second-order approximation for the integral, while spatial discretization relies on the local radial basis function-finite difference (rbf-fd) approach. the efficiency and convergence of the method are confirmed by a numerical example.