二维抛物型方程初边值问题的高阶差分边界元法及误差估计

HIGHER ORDER DIFFERENCE-BOUNDARY ELEMENT METHOD FOR INITIAL BOUNDARY VALUE PROBLEMS OF TWO DIMENSIONAL PARABOLIC EQUATIONS AND ERROR ESTIMATES

本文讨论二维抛物型方程初边值问题的求解问题，提出了一种差分与边界元耦合的高阶求解方法，并给出了先验误差估计。

In this paper. we establish the higher order methods for initial boundary value problems of two-dimensional parabolic equations based on combining the method of finite difference with boundary element procedure.We have discussed the method and obtained the prior error estimates. For Neumen's problem, our method avoids the appearance of strongly-divergent integral kernel.