An improved trigonometrically fitted P-stable Obrechkoff method for periodic initial-value problems

被引：80

作者：

Wang, ZC ^{[1
]}

Zhao, DY ^{[1
]}

Dai, YM ^{[1
]}

Wu, DM ^{[1
]}

机构：

[1] Shanghai Univ, Dept Phys, Shanghai 200436, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2005年 / 461卷 / 2058期

关键词：

Obrechkoff method high-order derivative; first-order derivative formula; second-order initial value problem with periodic solutions; numerical solution to the Duffing equation;

D O I：

10.1098/rspa.2004.1438

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper we present an improved P-stable trigonometrically fitted Obrechkoff method with phase-lag (frequency distortion) infinity. Compared with the previous P-stable trigonometrically fitted Obrechkoff method developed by Simos, our new method is simpler in structure and more stable in computation. We have also improved the accuracy of the first-order derivative formula. From the numerical illustration presented, we can show that the new method is much more accurate than the previous methods.

引用

页码：1639 / 1658

页数：20

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