A Zero-Dissipative Runge-Kutta-Nystrom Method with Minimal Phase-Lag

被引：6
|
作者：
Senu, Norazak [1 ]
Suleiman, Mohamed [1 ]
Ismail, Fudziah [1 ]
Othman, Mohamed [2 ]
机构：
[1] Univ Putra Malaysia, Dept Math, Fac Sci, Upm Serdang 43400, Selangor, Malaysia
[2] Univ Putra Malaysia, Dept Commun Technol & Network, Fac Comp Sci & Informat Technol, Upm Serdang 43400, Selangor, Malaysia
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2010年 / 2010卷
关键词：
NUMERICAL-INTEGRATION;
D O I：
10.1155/2010/591341
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An explicit Runge-Kutta-Nystrom method is developed for solving second-order differential equations of the form q '' = f(t, q) where the solutions are oscillatory. The method has zero-dissipation with minimal phase-lag at a cost of three-function evaluations per step of integration. Numerical comparisons with RKN3HS, RKN3V, RKN4G, and RKN4C methods show the preciseness and effectiveness of the method developed.
引用
收藏
页数：15
相关论文
共 50 条
  • [21] A phase-fitted collocation-based Runge-Kutta-Nystrom method
    Paternoster, B
    APPLIED NUMERICAL MATHEMATICS, 2000, 35 (04) : 339 - 355
  • [22] A Runge-Kutta Method with Zero Phase-Lag and Derivatives for the Numerical Solution of Orbital Problems
    Papadopoulos, D. F.
    Simos, T. E.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 1399 - 1402
  • [23] Construction of an Explicit Runge-Kutta-Nystrom Method with Constant Coefficients and of a Phase-fitted and Amplification-Fitted Explicit Runge-Kutta-Nystrom Method for the Numerical Solution of the Schrodinger Equation
    Kosti, A. A.
    Anastassi, Z. A.
    Simos, T. E.
    INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2009 (ICCMSE 2009), 2012, 1504 : 1185 - 1187
  • [24] A functional fitting Runge-Kutta-Nystrom method with variable coefficients
    Ozawa, K
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2002, 19 (01) : 55 - 85
  • [25] Functionally fitted Runge-Kutta-Nystrom methods
    Hoang, N. S.
    Sidje, R. B.
    BIT NUMERICAL MATHEMATICS, 2016, 56 (01) : 129 - 150
  • [26] Functional continuous Runge-Kutta-Nystrom methods
    Eremin, Alexey S.
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016,
  • [27] AN ALGORITHMIC APPROACH TO RUNGE-KUTTA-NYSTROM PAIRS
    Kovalnogov, V. N.
    Fedorov, R. V.
    Karpukhina, T. V.
    Evgenievich, C. Y.
    Simos, T. E.
    Tsitouras, CH.
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 14 (01): : 3 - 22
  • [28] On high order Runge-Kutta-Nystrom pairs
    Simos, T. E.
    Tsitouras, Ch
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 400
  • [29] Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nystrom methods
    Blanes, S
    Moan, PC
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 142 (02) : 313 - 330
  • [30] A Fourth Order Phase-Fitted Runge-Kutta-Nystrom Method for Oscillatory Problems
    Wing, Moo Kwong
    Senu, Norazak
    Ismail, Fudziah
    Suleiman, Mohamed
    PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM20): RESEARCH IN MATHEMATICAL SCIENCES: A CATALYST FOR CREATIVITY AND INNOVATION, PTS A AND B, 2013, 1522 : 316 - 322
12345