Second-order numerical method for a neutral Volterra integro-differential equation

被引：1
|
作者：
Amirali, Ilhame [1 ]
Fedakar, Burcu [1 ]
Amiraliyev, Gabil M. [2 ]
机构：
[1] Duzce Univ, Fac Arts & Sci, Dept Math, TR-81620 Duzce, Turkiye
[2] Pasa Neighborhood, Millet St,8-9, TR-34377 Istanbul, Turkiye
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2025年 / 453卷
关键词：
Neutral Volterra integro-differential equation; Finite difference scheme; Uniform convergence; Error analysis;
D O I：
10.1016/j.cam.2024.116160
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is dedicated to obtaining an approximate solution for a neutral second-order Volterra integro-differential equation. Our method is the second-order accurate finite difference scheme on a uniform mesh. The error analysis is carried out and numerical results are given to support the proposed approach.
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