一类带弱奇异核的偏积分微分方程二阶向后差分格式的稳定性

Stability of second order backward difference for a partial integro-differential equation with a weakly singular kernel

给出了一类带弱奇异核的偏积分微分方程的关于时间方向运用二阶向后差分格式,空间方向采用二阶差分进行离散,积分项使用卷积求积公式,并给出其稳定性.

In this paper, the stability for a partial integro - differential equation with a weakly singular kernel was giuen. The equation presented second order backward difference in the direction of tsecond order difference in the direction of x and the integral item using a convolution quadrature formula.