Semi Implicit Hybrid Methods with Higher Order Dispersion for Solving Oscillatory Problems

被引：0
|
作者：
Ahmad, S. Z. [1 ]
Ismail, F. [1 ]
Senu, N. [1 ]
机构：
[1] Univ Putra Malaysia, Fac Sci, Dept Math, Upm Serdang 43400, Selangor De, Malaysia
来源：
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年 / 1522卷
关键词：
Semi Implicit Hybrid Method; two-step methods; dispersion; stability;
D O I：
10.1063/1.4801174
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, two-step fourth order semi implicit hybrid method (SIHM) with dispersion of order six and zero dissipation is constructed for solving second order ordinary differential equations (ODEs). Numerical results show that SIHM is more accurate as compared to the existing hybrid method, Runge-Kutta Nystrom (RKN) method, Runge-Kutta (RK) method and Diagonally Implicit Runge-Kutta Nystrom (DIRKN) method of the same order. The interval of absolute stability of SIHM for ODE is presented. The comparison of time for solving the test problems for the various methods is also given.
引用
收藏
页码：553 / 560
页数：8
相关论文
共 50 条
  • [41] Accelerated hybrid methods for solving pseudomonotone equilibrium problems
    Dang Van Hieu
    Pham Kim Quy
    La Thi Hong
    Le Van Vy
    [J]. Advances in Computational Mathematics, 2020, 46
  • [42] On solving hybrid optimal control problems with higher index DAEs
    Pytlak, Radoslaw
    Suski, Damian
    [J]. OPTIMIZATION METHODS & SOFTWARE, 2017, 32 (04): : 940 - 962
  • [43] Higher Order Triangular Mixed Finite Element Methods for Semi linear Quadratic Optimal Control Problems
    Deng, Kang
    Chen, Yanping
    Lu, Zuliang
    [J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2011, 4 (02) : 180 - 196
  • [44] A Zero-Dissipative Phase-Fitted Fourth Order Diagonally Implicit Runge-Kutta-Nystrom Method for Solving Oscillatory Problems
    Moo, K. W.
    Senu, N.
    Ismail, F.
    Suleiman, M.
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [45] Analytic Methods for Solving Higher Order Ordinary Differential Equations
    Beccar-Varela, Maria P.
    Bhuiyan, Md Al Masum
    Mariani, Maria C.
    Tweneboah, Osei K.
    [J]. MATHEMATICS, 2019, 7 (09)
  • [46] New higher order iterative methods for solving nonlinear equations
    Huang, Shuliang
    Rafiq, Arif
    Shahzad, Muhammad Rizwan
    Ali, Faisal
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2018, 47 (01): : 77 - 91
  • [47] On solving the Rachford-Rice equation with higher order methods
    Yan, Wei
    Stenby, Erling H.
    [J]. FLUID PHASE EQUILIBRIA, 2014, 363 : 290 - 292
  • [48] New families of higher order, iterative methods for solving equations
    Hasan, Mohammed A.
    [J]. PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 6379 - 6384
  • [49] A NEW FAMILY OF HIGHER-ORDER METHODS FOR SOLVING EQUATIONS
    NETA, B
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1983, 14 (02) : 191 - 195
  • [50] Semi-Implicit Hybrid Gradient Methods with Application to Adversarial Robustness
    Kim, Beomsu
    Seo, Junghoon
    [J]. INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 151, 2022, 151
12345