一类延迟Volterra积分微分方程的两步配置法
Two-step Collocation Method for a Class of Delay Volterra Integro-differential Equations
-
摘要: 本文在
\theta -不变网格下构造了一类求解非消失延迟Volterra积分微分方程的两步配置法,分析了数值格式的存在唯一性以及超收敛性质。最后,通过数值实验验证了理论结果。Abstract: In this paper, a two-step collocation method for solving Volterra integro-differential equations with non-vanishing delay is constructed on\theta -invariant mesh, and the existence, uniqueness and superconvergence of the numerical schemes are analyzed. Finally, the theoretical results are verified by numerical experiments.