Variational iteration technique for solving a system of nonlinear equations

被引：12
|
作者：
Noor, Muhammad Aslam [1 ]
Waseem, Muhammad [2 ]
Noor, Khalida Inayat [1 ]
Al-Said, Eisa [3 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
[2] COMSATS Inst Informat Technol, Dept Comp Sci, Sahiwal, Pakistan
[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
来源：
OPTIMIZATION LETTERS | 2013年 / 7卷 / 05期
关键词：
Nonlinear system; Variational iteration technique; Boundary value problem; Convergence criteria; CONVERGENCE;
D O I：
10.1007/s11590-012-0479-3
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we use the variational iteration technique to suggest and analyze some new iterative methods for solving a system of nonlinear equations. We prove that the new method has fourth-order convergence. Several numerical examples are given to illustrate the efficiency and performance of the new iterative methods. Our results can be viewed as a refinement and improvement of the previously known results.
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页码：991 / 1007
页数：17
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