Some Modified Runge-Kutta Methods for the Numerical Solution of Initial-Value Problems with Oscillating Solutions

被引：5

作者：

Simos T.E. ^{[1
,2
]}

机构：

[1] Department of Civil Engineering, School of Engineering, Democritus University of Thrace

[2] GR 175 64 Athens

来源：

Journal of Scientific Computing | 1998年 / 13卷 / 1期

关键词：

Initial-value problems; ODEs with oscillating solutions; Phase-lag; Runge-Kutta methods;

D O I：

10.1023/A:1023204727185

中图分类号：

学科分类号：

摘要：

Two new modified Runge-Kutta methods with minimal phase-lag are developed for the numerical solution of initial-value problems with oscillating solutions which can be analyzed to a system of first order ordinary differential equations. These methods are based on the well known Runge-Kutta RK5(4)7FEq1 method of Higham and Hall (1990) of order five. Also, based on the property of the phase-lag a new error control procedure is introduced. Numerical and theoretical results show that this new approach is more efficient compared with the well known Runge-Kutta Dormand-Prince RK5(4)7S method [see Dormand and Prince (1980)] and the well known Runge-Kutta RK5(4)7FEq1 method of Higham and Hall (1990).

引用

页码：51 / 63

页数：12

共 21 条

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