New family of iterative methods for nonlinear equations

被引:27
|
作者
Noor, Muhammad Aslam [1 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan
关键词
multi-step methods; convergence; decomposition methods; numerical examples;
D O I
10.1016/j.amc.2007.01.045
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 a new family of iterative methods for solving nonlinear equations using the system of coupled equations coupled with decomposition technique. Several numerical examples are given to illustrate the efficiency and performance of the new methods. These new iterative methods may be viewed as an extension and generalization of the existing methods for solving nonlinear equations. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:553 / 558
页数:6
相关论文
共 50 条
  • [41] New Family of Multi-Step Iterative Methods Based on Homotopy Perturbation Technique for Solving Nonlinear Equations
    Saeed, Huda J.
    Ali, Ali Hasan
    Menzer, Rayene
    Potclean, Ana Danca
    Arora, Himani
    MATHEMATICS, 2023, 11 (12)
  • [42] A new efficient parametric family of iterative methods for solving nonlinear systems
    Chicharro, Francisco, I
    Cordero, Alicia
    Garrido, Neus
    Torregrosa, Juan R.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2019, 25 (9-10) : 1454 - 1467
  • [43] A one-parameter fourth-order family of iterative methods for nonlinear equations
    Chun, Changbum
    Ham, YoonMee
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (01) : 610 - 614
  • [44] A Family of Fifth-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations
    J. R. Sharma
    H. Arora
    Numerical Analysis and Applications, 2021, 14 : 186 - 199
  • [45] On the local convergence of a family of two-step iterative methods for solving nonlinear equations
    Grau-Sanchez, Miquel
    Noguera, Miquel
    Diaz-Barrero, Jose L.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 255 : 753 - 764
  • [46] Design and dynamical behavior of a fourth order family of iterative methods for solving nonlinear equations
    Cordero, Alicia
    Ledesma, Arleen
    Maimo, Javier G.
    Torregrosa, Juan R.
    AIMS MATHEMATICS, 2024, 9 (04): : 8564 - 8593
  • [47] A Family of Fifth-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations
    Sharma, J. R.
    Arora, H.
    NUMERICAL ANALYSIS AND APPLICATIONS, 2021, 14 (02) : 186 - 199
  • [48] A family of modified Chebyshev-Halley iterative methods with two parameters for nonlinear equations
    Srisarakham, Napassanan
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2021, 16 (02): : 553 - 562
  • [49] ITERATIVE METHODS FOR NONLINEAR OPERATOR-EQUATIONS
    CHRONOPOULOS, AT
    ZLATEV, Z
    APPLIED MATHEMATICS AND COMPUTATION, 1992, 51 (2-3) : 167 - 180
  • [50] Iterative Methods for Nonlinear Equations or Systems and Their Applications
    Torregrosa, Juan R.
    Argyros, Ioannis K.
    Chun, Changbum
    Cordero, Alicia
    Soleymani, Fazlollah
    JOURNAL OF APPLIED MATHEMATICS, 2013,