中文摘要：

使用矩形元的最低次R-T混合有限元空间，提出了拟线性抛物型积分微分方程的混合体积元方法，并通过数值逼近和误差分析，得到了该混合体积元格式解的最优模误差估计。

英文摘要：

The mixed covolume method for the quasilinear parabolic integro-differential equation is proposed. By making the numerical approximation and the error analysis, optimal order error estimates for the scaler unknown and the adjoint vector function in L2-norms and H（div）-norms are obtained.