Some Higher Order Algorithms for Solving Fixed Point Problems

被引:0
作者
Waheed, Asif [1 ]
Din, Syed Tauseef Mohyud [2 ]
Zeb, Muhammad [1 ]
Usman, Muhammad [3 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Attock, Pakistan
[2] Univ Islamabad, Ctr Res, Islamabad, Pakistan
[3] Peking Univ, Sch Math Sci, Beijing, Peoples R China
来源
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2018年 / 9卷 / 01期
关键词
Higher order; Algorithms; Fixed point problems; Homotopy perturbation method; Nonlinear equations; Efficiency index; Convergences order;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper some higher order algorithms have been introduced for solving fixed point problems. These algorithms have been developed by Homotopy Perturbation Method New algorithms are tested on diversified nonlinear problems. The results are very promising and useful. Comparison of numerical results along with existing proficient techniques explicitly reflects the very high level of accuracy of developed iterative schemes
引用
收藏
页码:41 / 52
页数:12
相关论文
共 19 条
  • [11] New interpretation of homotopy perturbation method (vol 20, pg 2561, 2006)
    He, Ji-Huan
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2006, 20 (18): : 2561 - 2568
  • [12] The improvements of Chebyshev-Halley methods with fifth-order convergence
    Kou, Jisheng
    Li, Yitian
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 143 - 147
  • [13] A family of fifth-order iterations composed of Newton and third-order methods
    Kou, Jisheng
    Li, Yitian
    Wang, Xiuhua
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (02) : 1258 - 1262
  • [14] Predictor-corrector Halley method for nonlinear equations
    Noor, Khalida Inayat
    Noor, Muhammad Aslam
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (02) : 1587 - 1591
  • [15] Fifth-order iterative methods for solving nonlinear equations
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 406 - 410
  • [16] An iterative method with cubic convergence for nonlinear equations
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Mohyud-Din, Syed Tauseef
    Shabbir, Asim
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (02) : 1249 - 1255
  • [17] Sehati M.M., 2012, INT J PHYS SCI, V7, P5017, DOI DOI 10.5897/IJPS12.279
  • [18] Traub JF, 1982, ITERATIVE METHODS SO
  • [19] Historical development of the Newton-Raphson method
    Ypma, TJ
    [J]. SIAM REVIEW, 1995, 37 (04) : 531 - 551