中立型Volterra时滞积分微分方程线性多步法的稳定性(英文)

Stability of linear multistep methods for neutral volterra delay integral differential equations

主要研究线性中立型Volterra时滞积分微分方程的数值稳定性。在此类延迟微分系统渐进稳定的充分条件下,证明了所有的A-稳定的线性多步方法都将保持此方程的精确解的不依赖于延迟项的稳定性.数值试验验证了主要结论。

The numerical stability of linear neutral Voherra delay integral differential equations is dealt with. Under a sufficient condition such that this system with a lagging argument is asymptotically stable, it is proved that every A - stable linear multistep method preserves the delay - independent stability of its exact solutions. Finally, some numerical experiments are given to demonstrate the main conclusion.