A new optimized non-FSAL embedded Runge-Kutta-Nystrom algorithm of orders 6 and 4 in six stages

被引：23
作者：
El-Mikkawy, M [1 ]
Rahmo, ED [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 145卷 / 01期
关键词：
initial value problems; RKN embedded pairs; step size control; FSAL; MACSYMA;
D O I：
10.1016/S0096-3003(02)00436-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the current paper a new 4-parameter Runge-Kutta-Nystrom (RKN) family of the non-FSAL type is constructed. The strategy used for the construction is based on the criteria listed by Dormand et al. [IMA J. Numer. Anal. 7 (1987) 235]. By an appropriate choice of the free parameters we obtained an optimized non-FSAL RKN 6(4) 6 embedded algorithm. The coefficients of this algorithm are obtained by writing a program in MACSYMA (MACSYMA Reference Manual). Test results indicate the superiority of the new algorithm relative to the RKN 6(4) 6 FM algorithm of the FSAL type of Dormand et al. (C) 2002 Elsevier Inc. All rights reserved.
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收藏
页码：33 / 43
页数：11
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