线性多步法关于延迟积分微分方程的散逸性

Dissipativity of Linear Multistep Methods for Delay-integro-differential Equations

考虑了延迟积分微分方程数值方法的散逸性,把一类线性多步法应用到以上问题中,当积分项用复合求积公式逼近时,得到了该数值方法的散逸性结果,最后,数值实验证明了所得理论结果的正确性。

This paper is concerned with numerical dissipativity of delay integro-differential equations.When the integration term is approximated by the compound quadrature formula,the dissipativity results are obtained by a class of linear multistep methods.Finally,numerical example is given to confirm the theoretical results.