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
来源：
2015 INTERNATIONAL CONFERENCE "STABILITY AND CONTROL PROCESSES" IN MEMORY OF V.I. ZUBOV (SCP) | 2015年
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
  • [31] On the linearization of some second-order ODEs via contact transformations
    Mgaga, T. C.
    Govinder, K. S.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (01)
  • [32] STABILITY OF THE SECOND-ORDER MATRIX POLYNOMIAL.
    Shieh, Leang S.
    Mehio, Mohamad M.
    Dib, Hani M.
    IEEE Transactions on Automatic Control, 1987, AC-32 (03) : 231 - 233
  • [33] The equation for a product of solutions of two second-order linear ODEs
    Slavyanov, SY
    DAY ON DIFFRACTION - MILLENNIUM WORKSHOP, PROCEEDINGS, 2000, : 168 - 171
  • [34] Oscillating solutions to second-order ODEs with indefinite superlinear nonlinearities
    Terracini, S
    Verzini, G
    NONLINEARITY, 2000, 13 (05) : 1501 - 1514
  • [35] Magnetizing Inrush Current Identification Method Based on Second-Order Taylor Derivative
    Song J.
    Fu L.
    Xiong S.
    Deng Y.
    Wang J.
    Liu X.
    Li X.
    Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering, 2020, 40 (03): : 1020 - 1029
  • [36] Numerical Fourier method and second-order Taylor scheme for backward SDEs in finance
    Ruijter, M. J.
    Oosterlee, C. W.
    APPLIED NUMERICAL MATHEMATICS, 2016, 103 : 1 - 26
  • [37] Riccati-parameter solutions of nonlinear second-order ODEs
    Reyes, M. A.
    Rosu, H. C.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (28)
  • [38] Strongly nonlinear second-order ODEs with rapidly growing terms
    GarciaHuidobro, M
    Manasevich, R
    Zanolin, F
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (01) : 1 - 26
  • [39] On a periodic problem for super-linear second-order ODEs
    Sremr, Jiri
    MATHEMATICA SLOVACA, 2024, 74 (06) : 1457 - 1476
  • [40] Branches of forced oscillations in degenerate systems of second-order ODEs
    Lewicka, Marta
    Spadini, Marco
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (09) : 2623 - 2628
12345