Compact finite difference scheme for the solution of a time fractional partial integro-differential equation with a weakly singular kernel

چکیده مقاله

In this paper,we develop a high-order finite difference scheme for the solution of a time fractional partial integro-differential equationwith aweakly singular kernel. The fractional derivative is used in the Riemann-Liouville sense. We prove the unconditional stability and convergence of scheme using energy method and show that the convergence order is (