延迟积分微分方程梯形方法的渐近稳定性

Asymptotic stability of Trapezium methods for delay-integro-differential equation

讨论了用梯形方法求解延迟积分微分方程y′(t)=αy(t)+βy(t-τ1)+∫γ0-τ2y(t+s)ds的数值方法的稳定性,证明了梯形方法能够保持原方程的渐近稳定性.数值试验进一步验证了理论分析的正确性.

This paper is concerned with the asymptotic stability of Trapezium methods for delay-integro-differential equations y′（t）=αy（t）＋βy（t-τ1）＋γ∫-τ2^0y（t＋s）ds.It is shown that Trapezium methods can keep the asymptotic stability.Finally,the numerical experiments further confirm the theoretical results of numerical analysis.