Higher order iterative schemes for nonlinear equations using decomposition technique

被引：12
|
作者：
Shah, Farooq Ahmed [1 ]
Noor, Muhammad Aslam [2 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Attock, Pakistan
[2] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 266卷
关键词：
Decomposition technique; Auxiliary function; Multi-step method; Convergence; Numerical examples; NEWTONS METHOD; CONVERGENCE;
D O I：
10.1016/j.amc.2015.05.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we suggest and analyze some unique recurrence relations which can generate different classes of iterative methods for solving nonlinear equations using the system of coupled equations together with decomposition technique by using an auxiliary function. Various numerical examples are given to illustrate the efficiency and performance of the newly suggested methods. These new iterative methods may be viewed as an addition and generalization of the existing methods for solving nonlinear equations. (C) 2015 Elsevier Inc. All rights reserved.
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页码：414 / 423
页数：10
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