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.
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页数：11
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