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.

引用

页数：8

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