Parameter perturbation extrapolation algorithm for Runge-Kutta methods

被引：2
|
作者：
Zhao, Weijing [1 ]
Zhang, Zhaoning [1 ]
机构：
[1] Civil Aviat Univ China, Coll Air Traff Management, Tianjin 300300, Peoples R China
来源：
JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2016年 / 19卷 / 5-6期
关键词：
Extrapolation algorithms; Perturbation method; Runge-Kutta methods; Accuracy;
D O I：
10.1080/09720502.2014.881141
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, in order to improve the accuracy of extrapolation Runge-Kutta methods, parameter perturbation is introduced on the basis of extrapolation algorithm, i.e., parameter perturbation extrapolation algorithm for Runge-Kutta (PPE-R-K) methods are presented. The numerical experiments show that PPE-R-K methods are of high precision, and it has obvious effects on inhibits the spread of error propagation.
引用
收藏
页码：917 / 926
页数：10
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