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
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