Taylor Series Method for Second-Order Polynomial ODEs

被引:0
|
作者
Latypov, Viktor [1 ]
Sokolov, Sergei [1 ]
机构
[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
An algorithm for numerical integration of non-linear Lagrange equations is presented. Formulas for approximate solutions are derived using the Taylor Series Method. Radius of convergence of estimates and error bounds are given.
引用
收藏
页码:62 / 64
页数:3
相关论文
共 50 条
  • [1] A new method to obtain either first- or second-order reductions for parametric polynomial ODEs
    Ramirez, J.
    Romero, J. L.
    Muriel, C.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 358 : 146 - 162
  • [2] Multivalue-multistage Method for Second-order ODEs
    Ismail, Ainathon
    Rabiei, Faranak
    PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION, 2017, 1870
  • [3] Integrating factors for second-order ODEs
    Cheb-Terrab, ES
    Roche, AD
    JOURNAL OF SYMBOLIC COMPUTATION, 1999, 27 (05) : 501 - 519
  • [4] Nonlinear systems of second-order ODEs
    Cerda, Patricio
    Ubilla, Pedro
    BOUNDARY VALUE PROBLEMS, 2008, 2008 (1)
  • [5] Identification of Dynamic Loads Based on Second-Order Taylor-Series Expansion Method
    Li, Xiaowang
    Deng, Zhongmin
    SHOCK AND VIBRATION, 2016, 2016
  • [6] Nonlinear Systems of Second-Order ODEs
    Patricio Cerda
    Pedro Ubilla
    Boundary Value Problems, 2008
  • [7] Second-order Taylor Expansion Boundary Element Method for the second-order wave diffraction problem
    Duan, Wenyang
    Chen, Jikang
    Zhao, Binbin
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2015, 58 : 140 - 150
  • [8] Second-order Taylor expansion boundary element method for the second-order wave radiation problem
    Duan, W. Y.
    Chen, J. K.
    Zhao, B. B.
    APPLIED OCEAN RESEARCH, 2015, 52 : 12 - 26
  • [9] Efficient methods for special second-order ODEs
    Messina, E
    Paternoster, B
    NUMERICAL ANALYSIS: METHODS AND MATHEMATICAL SOFTWARE, SUPPLEMENT, 2000, 46 : 317 - 328
  • [10] Projective connections associated with second-order ODEs
    Newman, ET
    Nurowski, P
    CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (11) : 2325 - 2335