A Second Order Fully Discrete Difference Scheme for a Nonlinear Partial Integro-Differential Equation
一类非线性偏积分微分方程二阶差分全离散格式

In this paper, the second order fully discrete difference method for a nonlinear partial integro-differential equation is considered. The integral term is treated by means of the second order convolution quadrature raised by Lubich. By the second order backward difference scheme, the stability and the error estimate are given.