A New Fourth-Order RUNGE-KUTTA Method Based on the Power Mean

被引：0
|
作者：
Muda, Yuslenita [1 ]
Wartono, Wartono [1 ]
Sarah, Holimina [1 ]
机构：
[1] State Islamic Univ Sultan Syarif Kasim Riau, Fac Sci & Technol, Dept Math, Pekanbaru 28294, Indonesia
来源：
VISION 2025: EDUCATION EXCELLENCE AND MANAGEMENT OF INNOVATIONS THROUGH SUSTAINABLE ECONOMIC COMPETITIVE ADVANTAGE | 2019年
关键词：
Error; Ordinary Differential Equations; Power Means; Stability; The Classic Fourth-order Runge-Kutta Method;
D O I：
暂无
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
In this paper, we introduce a new formula of classical fourth-order Runge-Kutta (RK-4) method based on power means (PM). We obtain the new formula called by RK4- PM, by changing arithmetic means on RK-4 method with certain power means i.e., and furthermore, we also get an area of its stability. Comparing with another RK-4 modification based on geometric means, the numerical results present that RK4-PM has a similar error with other methods.
引用
收藏
页码：5640 / 5648
页数：9
相关论文
共 50 条
  • [31] New fourth order Runge-Kutta formula based on the contra-harmonic (C0M) mean
    Int J Comput Math, 3-4 (249):
  • [32] Numerical Solution of Nonlinear Schrodinger Approaches Using the Fourth-Order Runge-Kutta Method for Predicting Stock Pricing
    Kartono, A.
    Fatmawati, V. W.
    Wahyudi, S. T.
    Irmansyah
    SEMINAR NASIONAL FISIKA (SNF) UNESA 2019, 2020, 1491
  • [33] A NEW 4TH ORDER RUNGE-KUTTA FORMULA BASED ON THE HARMONIC MEAN
    SANUGI, BB
    EVANS, DJ
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1994, 50 (1-2) : 113 - 118
  • [34] STABILITY OF FOURTH ORDER RUNGE-KUTTA METHOD FOR SOLUTION OF SYSTEMS OF DIFFERENTIAL EQUATIONS
    KARIM, AIA
    COMPUTER JOURNAL, 1966, 9 (03): : 308 - &
  • [35] Runge-Kutta Type Methods for Directly Solving Special Fourth-Order Ordinary Differential Equations
    Hussain, Kasim
    Ismail, Fudziah
    Senu, Norazak
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [36] ERROR ESTIMATE OF THE FOURTH-ORDER RUNGE-KUTTA DISCONTINUOUS GALERKIN METHODS FOR LINEAR HYPERBOLIC EQUATIONS
    Xu, Yuan
    Shu, Chi-Wang
    Zhang, Qiang
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 58 (05) : 2885 - 2914
  • [37] A FOURTH-ORDER RUNGE-KUTTA METHOD WITH EIGHTH-ORDER ACCURACY AND LOW NUMERICAL DISPERSION FOR SOLVING THE SEISMIC WAVE EQUATION
    Zhang, Chaoyuan
    Chen, Li
    JOURNAL OF SEISMIC EXPLORATION, 2016, 25 (03): : 229 - 255
  • [38] Design of intelligent positioning omnidirectional driverless vehicle based on fourth-order Runge-Kutta encoder combined IMU
    Meng Xiangqi
    Shao Weiyu
    Zuo Xingbin
    2022 34TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC, 2022, : 1674 - 1679
  • [39] Explicit Fourth-Order Runge–Kutta Method on Intel Xeon Phi Coprocessor
    Beata Bylina
    Joanna Potiopa
    International Journal of Parallel Programming, 2017, 45 : 1073 - 1090
  • [40] An Interactive Simulation of the Nucleon-Core Interacting Using the Fourth-Order Runge-Kutta Method for Studying Nuclear Physics
    Kartono, A.
    Ricky
    Wahyudi, S. T.
    SEMINAR NASIONAL FISIKA (SNF) UNESA 2019, 2020, 1491
12345