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

被引：0
|
作者：
Amirali, Ilhame [1 ]
Durmaz, Muhammet Enes [2 ]
Amiraliyev, Gabil M. [3 ]
机构：
[1] Duzce Univ, Fac Arts & Sci, Dept Math, TR-81620 Duzce, Turkiye
[2] Kirklareli Univ, Dept Informat Technol, TR-39100 Kirklareli, Turkiye
[3] Millet St 8-9, TR-34377 Istanbul, Turkiye
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2024年 / 21卷 / 07期
关键词：
Fredholm integro-differential equation; finite difference method; error estimate; uniform convergence;
D O I：
10.1007/s00009-024-02746-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：15
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