A Two-Step Trigonometrically Fitted Semi-Implicit Hybrid Method for Solving Special Second Order Oscillatory Differential Equation

被引：0
|
作者：
Ahmad, S. Z. [1 ]
Ismail, F. [1 ,2 ]
Senu, N. [1 ,2 ]
机构：
[1] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia
[2] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia
来源：
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2016年 / 10卷
关键词：
Semi-Implicit Hybrid Method; Two-step Methods; Oscillatory problems; Trigonometrically-fitted;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we derived a semi-implicit hybrid method (SIHM) which is a two-step method to solve special second order ordinary differential equations (ODEs). The SIHM which is three-stage and fourth-order is then trigonometrically fitted and denoted by TF-SIHM3(4). The method is constructed using trigonometrically fitted properties instead of using phase-lag and amplification properties. Numerical integration show that TF-SIHM3(4) is more accurate in term of accuracy compared to the existing explicit and implicit methods of the same order.
引用
收藏
页码：145 / U332
页数：15
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