刘或莹, 明万元. 一类延迟Volterra积分微分方程的两步配置法[J]. 南昌航空大学学报(自然科学版).
引用本文: 刘或莹, 明万元. 一类延迟Volterra积分微分方程的两步配置法[J]. 南昌航空大学学报(自然科学版).
Huoying LIU, Wanyuan MING. Two-step Collocation Method for a Class of Delay Volterra Integro-differential Equations[J]. Journal of nanchang hangkong university(Natural science edition).
Citation: Huoying LIU, Wanyuan MING. Two-step Collocation Method for a Class of Delay Volterra Integro-differential Equations[J]. Journal of nanchang hangkong university(Natural science edition).

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.

     

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