论文标题
求解涉及延迟的Volterra Integro-Differention方程：一种新的高阶数值方法
Solving Volterra Integro-Differential Equations involving Delay: A New Higher Order Numerical Method
论文作者
论文摘要
本文的目的是引入一种新的数值方法，用于求解涉及延迟的非线性volterra Integro-differenditix差异方程。我们将梯形规则应用于方程中所涉及的积分。此外，采用Daftardar-Gejji和Jafari方法（DGJ）来求解隐式方程。存在用于此类方程的解决方案的存在 - 唯一性定理，并提出了所提出方法的误差和收敛分析。我们通过构建示例来说明新提出的方法的功效。
The aim of the present paper is to introduce a new numerical method for solving nonlinear Volterra integro-differential equations involving delay. We apply trapezium rule to the integral involved in the equation. Further, Daftardar-Gejji and Jafari method (DGJ) is employed to solve the implicit equation. Existence-uniqueness theorem is derived for solutions of such equations and the error and convergence analysis of the proposed method is presented. We illustrate efficacy of the newly proposed method by constructing examples.
