Multistep Newton-Picard Method for Nonlinear Differential Equations

被引:10
|
作者
Wang, Yinkun [1 ]
Ni, Guyan [1 ]
Liu, Yicheng [1 ]
机构
[1] Natl Univ Def Technol, Dept Math, Changsha 410073, Hunan, Peoples R China
关键词
NUMERICAL-INTEGRATION; ITERATION METHOD; SOLVERS;
D O I
10.2514/1.G005124
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
引用
收藏
页码:2148 / 2155
页数:8
相关论文
共 50 条
  • [1] Modify Newton Method to Solve Nonlinear Equations by Using Decay Method
    Allame, Masoud
    Hadi-vinch, Abdoallah
    Vatankhahan, Behnaz
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 660 - 662
  • [2] Hybrid Multistep Block Method for Solving Neutral Delay Differential Equations
    Ismail, Nur Inshirah Naqiah
    Majid, Zanariah Abdul
    Senu, Norazak
    SAINS MALAYSIANA, 2020, 49 (04): : 929 - 940
  • [3] Modified Newton-SHSS method for a class of systems of nonlinear equations
    Xie, Fang
    Wu, Qing-Biao
    Dai, Ping-Fei
    COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (01):
  • [4] Modification of Newton-Householder Method for Determining Multiple Roots of Unknown Multiplicity of Nonlinear Equations
    Sariman, Syahmi Afandi
    Hashim, Ishak
    Samat, Faieza
    Alshbool, Mohammed
    MATHEMATICS, 2021, 9 (09)
  • [5] On Newton-Like Methods for Solving Nonlinear Equations
    LIU Dingyou LI Yitian HE Julin KOU Jisheng
    Geo-Spatial Information Science, 2006, (01) : 76 - 78
  • [6] On Newton-Like Methods for Solving Nonlinear Equations
    Kou Jisheng
    Liu Dingyou
    Li Yitian
    He Julin
    GEO-SPATIAL INFORMATION SCIENCE, 2006, 9 (01) : 76 - 78
  • [7] Modified Picard-like Method for Solving Absolute Value Equations
    Liang, Yuan
    Li, Chaoqian
    MATHEMATICS, 2023, 11 (04)
  • [8] A Modified Generalized Newton Method for Absolute Value Equations
    Li, Cui-Xia
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 170 (03) : 1055 - 1059
  • [9] Modified Newton-CAPRESB method for solving a class of systems of nonlinear equations with complex symmetric Jacobian matrices
    Chen, Jialong
    Yu, Xiaohui
    Wu, Qingbiao
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (04):
  • [10] Modified Newton-DSS method for solving a class of systems of nonlinear equations with complex symmetric Jacobian matrices
    Xie, Fang
    Lin, Rong-Fei
    Wu, Qing-Biao
    NUMERICAL ALGORITHMS, 2020, 85 (03) : 951 - 975