Approximate solution of the system of nonlinear integral equation by Newton-Kantorovich method

被引：3
|
作者：
Eshkuvatov, Z. K.
Ahmedov, Anvarjon
Long, N. M. A. Nik
Shafiq, O.
机构：
[1] Department of Mathematics, Faculty of Science, Universiti Putra Malaysia (UPM)
[2] Department of Process and Food Engineering, Faculty of Engineering, UPM
[3] Institute for Mathematical Research, UPM
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 08期
关键词：
Newton-Kantorovich method; Rate of convergence; Nonlinear operator; Volterra integral equation; Trapezoidal formula;
D O I：
10.1016/j.amc.2010.09.068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Newton-Kantorovich method is developed for solving the system of nonlinear integral equations. The existence and uniqueness of the solution are proved, and the rate of convergence of the approximate solution is established. Finally, numerical examples are provided to show the validity and the efficiency of the method presented. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.
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页码：3717 / 3725
页数：9
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