SOLVING OSCILLATORY PROBLEMS USING A BLOCK HYBRID TRIGONOMETRICALLY FITTED METHOD WITH TWO OFF-STEP POINTS

被引：0
|
作者：
Ngwane, Fidele F. [1 ]
Jator, Samuel N. [2 ]
机构：
[1] Univ South Caroline, Dept Math, Salkehatchie, SC 29488 USA
[2] Austin Peay State Univ, Dept Math & Stat, Clarksville, TN 37044 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年
基金：
美国国家科学基金会;
关键词：
First order system; hybrid method; trigonometrically fitted method; off-step point; block method;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A continuous hybrid method using trigonometric basis (CHMTB) with two 'off-step' points is developed and used to produce three discrete hybrid methods which are simultaneously applied as numerical integrators by assembling them into a block hybrid trigonometrically fitted method (BHTFM) for solving oscillatory initial value problems (IVPs). The stability property of the BHTFM is discussed and the performance of the method is demonstrated on some numerical examples to show accuracy and efficiency advantages.
引用
收藏
页码：119 / 132
页数：14
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