Stability inequalities and numerical solution for neutral Volterra delay integro-differential equation

被引：5

作者：

Amirali, Ilhame ^{[1
]}

Acar, Hulya ^{[1
]}

机构：

[1] Duzce Univ, Fac Art & Sci, Dept Math, TR-81620 Duzce, Turkiye

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 436卷

关键词：

Volterra delay integro-differential equation; Finite difference scheme; Uniform convergence; Error estimate; RUNGE-KUTTA METHODS; DIFFERENTIAL-EQUATION;

D O I：

10.1016/j.cam.2023.115343

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the present paper is to introduce a new numerical method for solving Volterra integro-differential equation involving delay and neutral types. Using the numerical quadrature formula we form a finite difference scheme on a uniform mesh. The presented numerical method obtains a second-order convergence in discrete maximum norm. Furthermore, we illustrate the efficacy of the proposed method by constructing examples. & COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：11

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