Modified Runge-Kutta methods for the numerical solution of ODEs with oscillating solutions

被引：10
|
作者：
Simos, TE
机构：
[1] Laboratory of Applied Mathematics and Computers, Technical University of Crete, Kounoupidiana, 73100 Hania, Crete
来源：
APPLIED MATHEMATICS AND COMPUTATION | 1997年 / 84卷 / 2-3期
关键词：
D O I：
10.1016/S0096-3003(96)00083-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Three new modified Runge-Kutta methods with minimal phase-lag are developed for the numerical solution of ordinary differential equations with oscillating solutions. These methods are based on the well-known Runge-Kutta method of Dormand and Prince RK5(4)T (see [1]) of order five. Numerical and theoretical results show that this new approach is more efficient compared with the well known classical fifth-order Runge-Kutta Dormand and Prince method. (C) Elsevier Science Inc., 1997.
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页码：131 / 143
页数：13
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