中立型Volterra延迟积分微分方程块θ-方法的稳定性

Stability of Block θ-methods for Neutral Volterra Delay Integro Differential Equation

研究了线性中立型Volterra延迟积分微分方程数值方法的稳定性,给出了块隐式θ-方法保持系统解析解不依赖于延迟的稳定性质的一个充分条件。最后,通过一些数值试验说明了这篇文章的主要结论。

The stability of numerical methods for the linear Volterra delay integro differential equation was studied. A sufficient condition such that the implicit block θ-methods preserved the delay-independent stability of its exact solutions was obtained. Some numerical experiments were given to demonstrate the main conclusion.