Iterative method and convergence analysis for a kind of mixed nonlinear Volterra-Fredholm integral equation

被引：17
作者：
Wang, Keyan [1 ]
Wang, Qisheng [1 ]
Guan, Kaizhong [1 ]
机构：
[1] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 225卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear Volterra-Fredholm integral equation; Iterative method; Convergence analysis; COLLOCATION METHODS; NUMERICAL-SOLUTION;
D O I：
10.1016/j.amc.2013.09.069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the iterative method is presented for numerically solving the nonlinear Volterra-Fredholm integral equation. First, considering some conditions on k(i) and lambda(i) (i = 1, 2) of the integral equation, then we define the equidistance collocation points and the integral part of equation is discretized by Newton-Cotes integration formula, finally, the approximate solutions of integral equation are obtain by iterative method. The convergence analysis of the integral equation is given. Some numerical examples are given to illustrate the accuracy and dependability of the method. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：631 / 637
页数：7
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