Improved ARKN Methods Solving Perturbed Oscillators *

摘要：

This paper presents a family of the improved ARKN (IARKN) methods which are enhancement of the ARKN methods for perturbed oscillators proposed by J. M. Franco. Order conditions are given, and a twostage method of order three and a three-stage method of order four are constructed specifically. They are analyzed to have good stability and phase properties. Numerical experiments show the superiority of the new methods to some codes appeared in the literature in accuracy and efficiency.

关键词： Improved ARKN(IARKN) method ordercondition stability phase property efficiency

作者: Mei Zhang Zhaoxia Chen Xiong You Xinmeng Yao

作者单位: Department of Applied MathematicsNanjing Agricultural UniversityNanjing 210095, China Department of Applied Mathematics Nanjing Agricultural University Nanjing 210095, China

会议类型: 国际会议

会议名称: Third International Conference on Information and Computing(第三届信息与计算科学国际会议 ICIC 2010)

会议地点: 无锡

会议语种:英文

页码: 85-88

在线出版日期: 2010-06-04（万方平台首次上网日期，不代表论文的发表时间）