A New Class of Rational Multistep Methods for the Numerical Solution of First Order Initial Value Problems

被引：0

作者：

Ying, Teh Yuan ^{[1
]}

Yaacob, Nazeeruddin ^{[2
]}

Alias, Norma ^{[3
]}

机构：

[1] Univ Utara Malaysia, Coll Arts & Sci, Sch Quantitat Sci, Sintok 0610, Kedah Darul Ama, Malaysia

[2] Univ Teknol Malaysia, Fac Sci, Dept Math, Utm Johor Bahru 81310, Johor Darul Taz, Malaysia

[3] Univ Teknol Malaysia, Ibnu Sina Inst Fundamental Sci Studies, Utm Johor Bahru 81310, Johor Darul Taz, Malaysia

来源：

MATEMATIKA | 2011年 / 27卷 / 01期

关键词：

Rational functions; rational multistep methods; initial value problems; problems whose solutions posses singularities; stiff problems;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we have developed a new class of 2-step rational multistep methods (RMMs) in second to fifth order of accuracy. We have presented the developments of these RMMs, as well as the local truncation error and stability analysis for each RMM that we have developed. Numerical experiments have shown that all RMMs presented in this paper are suitable to solve initial value problem of various dimensions and also stiff problems.

引用

页码：59 / 78

页数：20

共 8 条

[1] Coefficients for studying one-step rational schemes for IVPs in ODEs: I [J].