A Monotone Second-Order Numerical Method for Fredholm Integro-Differential Equation

被引：0
|
作者：
Ilhame Amirali [1 ]
Muhammet Enes Durmaz [2 ]
Gabil M. Amiraliyev [3 ]
机构：
[1] Düzce University,Department of Mathematics, Faculty of Arts and Sciences
[2] Kırklareli University,Department of Information Technology
[3] Paşa Neighborhood,undefined
来源：
Mediterranean Journal of Mathematics | 2024年 / 21卷 / 7期
关键词：
Fredholm integro-differential equation; finite difference method; error estimate; uniform convergence; 45J05; 65L20; 65L11; 65L12; 65R20;
D O I：
10.1007/s00009-024-02746-6
中图分类号：
学科分类号：
摘要：
The purpose of this study is to present a monotone type numerical method for solving Fredholm integro-differential equations. To solve this problem numerically, we have established a finite difference scheme on a uniform mesh using the composite trapezoidal formula. Furthermore, it has been proven that this presented method is second-order convergent in the discrete maximum norm. To support the theoretical basis of this proposed approach, numerical results are presented.
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