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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