NEW RUNGE-KUTTA-NYSTROM FORMULA-PAIRS OF ORDER 8(7), 9(8), 10(9) AND 11(10) FOR DIFFERENTIAL-EQUATIONS OF THE FORM Y'' = F(X,Y)

被引：36

作者：

FILIPPI, S ^{[1
]}

GRAF, J ^{[1
]}

机构：

[1] UNIV GIESSEN,D-6300 GIESSEN,FED REP GER

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1986年 / 14卷 / 03期

关键词：

D O I：

10.1016/0377-0427(86)90073-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For initial value problems in ordinary second-order differential equations of the special form y double prime equals f(x, y), new explicit, direct Runge-Kutta-Nystrom formula-pairs of order 8(7), 9(8), 10(9) and 11(10) are presented using the mode of Bettis, Dormand and Prince. Two numerical examples demonstrate the efficiency of the new formula-pairs.

引用

页码：361 / 370

页数：10

共 10 条

[1]

Bettis D. G., 1973, Celestial Mechanics, V8, P229, DOI 10.1007/BF01231421

[2] NEW RUNGE-KUTTA ALGORITHMS FOR NUMERICAL-SIMULATION IN DYNAMICAL ASTRONOMY [J].