【摘要】 文章基于低阶协调的双线性元在矩形网格下的高精度积分恒等式，在时间方向使用具有二阶精度的Crank-Nicolson离散格式，再利用插值与投影相结合的技巧，给出了抛物积分微分方程的全离散格式下的超逼近和超收敛的误差估计。最后，通过数值试验验证了理论分析的正确性。更多还原

【Abstract】 This paper is based on the high-precision integral identity of low-order conforming bilinear element on rectangular meshes, and the Crank Nicolson discrete scheme with second-order accuracy in time direction, combining the Ritz projection operator and the interpolation operator, and providing the superapproximation and superconvergence error analysis under the fully discrete scheme for parabolic-integro differential equations. Finally, the correctness of the theoretical analysis is verified by numerical experiments.更多还原