New higher order iterative methods for solving nonlinear equations

被引：8
|
作者：
Huang, Shuliang [1 ]
Rafiq, Arif [2 ]
Shahzad, Muhammad Rizwan [3 ]
Ali, Faisal [3 ]
机构：
[1] Chuzhou Univ, Dept Math, Chuzhou, Peoples R China
[2] Virtual Univ Pakistan, Dept Math & Stat, Lahore 54000, Pakistan
[3] Bahauddin Zakariya Univ, Ctr Adv Studies Pure & Appl Math, Multan 60800, Pakistan
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2018年 / 47卷 / 01期
关键词：
Iterative methods; Nonlinear equations; Order of convergence; Auxiliary function; Modified homotopy perturbation method; HOMOTOPY PERTURBATION METHOD; ADOMIAN DECOMPOSITION METHOD; ALGEBRAIC EQUATIONS;
D O I：
10.15672/HJMS.2017.449
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using the system of coupled equations involving an auxiliary function, we introduce some new efficient higher order iterative methods based on modified homotopy perturbation method. We study the convergence analysis and also present various numerical examples to demonstrate the validity and efficiency of our methods.
引用
收藏
页码：77 / 91
页数：15
相关论文
共 50 条
  • [1] New families of higher order, iterative methods for solving equations
    Hasan, Mohammed A.
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 6379 - 6384
  • [2] The iterative methods with higher order convergence for solving a system of nonlinear equations
    Chen, Zhongyuan
    Qiu, Xiaofang
    Lin, Songbin
    Chen, Baoguo
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3834 - 3842
  • [3] Iterative Methods of Higher Order for Nonlinear Equations
    Singh S.
    Gupta D.K.
    Vietnam Journal of Mathematics, 2016, 44 (2) : 387 - 398
  • [4] New eighth-order iterative methods for solving nonlinear equations
    Wang, Xia
    Liu, Liping
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (05) : 1611 - 1620
  • [5] Fourth order iterative methods for solving nonlinear equations
    Comemuang, Chalermwut
    Orosram, Wachirarak
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2022, 17 (01): : 163 - 172
  • [6] On the local convergence of some iterative processes and higher order methods for solving nonlinear equations
    Radu, L
    Radu, V
    FIXED POINT THEORY AND APPLICATIONS, VOL 2, 2001, : 61 - 72
  • [7] New higher order methods for solving nonlinear equations with multiple roots
    Yun, Beong In
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (05) : 1553 - 1555
  • [8] Several New Third-Order Iterative Methods for Solving Nonlinear Equations
    Chun, Changbum
    Kim, Yong-Il
    ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) : 1053 - 1063
  • [9] New Iterative Methods With Seventh-Order Convergence For Solving Nonlinear Equations
    Fardi, M.
    Ghasemi, M.
    Davari, A.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2012, 3 (02): : 31 - 37
  • [10] A new family of eighth-order iterative methods for solving nonlinear equations
    Bi, Weihong
    Wu, Qingbiao
    Ren, Hongmin
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 214 (01) : 236 - 245
12345