A new 3-stage fourth order Runge-Kutta composite method for solving initial value problems

被引：0

作者：

Yaacob, N ^{[1
]}

Evans, DJ

机构：

[1] Univ Teknol Malaysia, Dept Math, Johor Bahru, Malaysia

[2] Loughborough Univ Technol, Parallel Algorithms & Architectures Res Ctr, Loughborough LE11 3TU, Leics, England

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1999年 / 72卷 / 04期

关键词：

RK-composite; RK-HeM; RK-HaM; RK-N34; stability; local truncation error;

D O I：

10.1080/00207169908804875

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we develop a new 3-stage 4th order RK method for solving initial value problems of the form y' = f(y), y(x(0)) = y(0) Together with stability analysis we justify the method of fourth order. The examples given proved that the new method is comparable to many existing methods.

引用

页码：541 / 546

页数：6

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