A numerical method for functional Hammerstein integro-differential equations

被引：0
|
作者：
Saeedi, L. [1 ]
Tari, A. [1 ]
机构：
[1] Shahed Univ, Dept Math, Tehran, Iran
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2018年 / 13卷 / 01期
关键词：
Successive approximations; Functional Hammerstein; Integro-differential equation; Trapezoidal quadrature; Spline interpolation; Nonlinear; Numerical method;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a numerical method is presented to solve functional Hammerstein integro-differential equations. The presented method combines the successive approximations method with trapezoidal quadrature rule and natural cubic spline interpolation to solve the mentioned equations. The existence and uniqueness of the problem is also investigated. The convergence and numerical stability of the problem are proved, and finally, the accuracy of the method is verified by presenting some numerical computations.
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页码：333 / 353
页数：21
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