A Second Order Fully Discrete Difference Scheme For A Partial Integro-differential Equation With A Weakly Singular Kernel

In this paper, we study a partial integro-differential equations of parabolic type with a weakly singular kernel and result a second order fully discrete scheme ,which use six-point implicit scheme in space and second order backward difference scheme in time,and given numerical experiments for the second order fully discrete scheme , by the calculating results we can observe the stability and error estimate of the method. The calculating results of the method is accurately higher ,calculate is simpler also.