A LOW-ORDER EMBEDDED RUNGE-KUTTA METHOD FOR PERIODIC INITIAL-VALUE PROBLEMS

被引：25
|
作者：
SIDERIDIS, AB [1 ]
SIMOS, TE [1 ]
机构：
[1] AGR UNIV ATHENS,INFORMAT LAB,GR-17564 ATHENS,GREECE
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1992年 / 44卷 / 02期
关键词：
RUNGE-KUTTA; PHASE-LAG; AMPLIFICATION FACTOR; ERROR ESTIMATION; EMBEDDED METHODS;
D O I：
10.1016/0377-0427(92)90013-N
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An embedded Runge-Kutta-Fehlberg method is developed. It should be noted that this embedded method is' procuced using the Runge-Kutta-Fehlberg method with algebraic order four to estimate a truncation phase-lag error of algebraic order three. The numerical results indicate that this new method is efficient for the numerical solution of differential equations with periodic solution, using variable stepsize.
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页码：235 / 244
页数：10
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