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.

引用

页码：235 / 244

页数：10

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