On a new one-step method for numerical solution of initial-value problems in ordinary differential equations

被引：1

作者：

Kama, P ^{[1
]}

Ibijola, EA ^{[1
]}

机构：

[1] Univ Ft Hare, Dept Math Appl, Alice Springs, NT, Australia

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2001年 / 77卷 / 03期

关键词：

initial value; stability; consistency; interpolating function;

D O I：

10.1080/00207160108805078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a numerical algorithm which is based on the representation of the theoretical solution by a perturbation of a polynomial interpolating function with an exponential function. The numerical algorithm is stable, consistent and convergent. Some numerical results were obtained to illustrate the accuracy of the algorithm.

引用

页码：457 / 467

页数：11

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[2]

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[3]

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[4]

Henrici P., 1962, Discrete variable methods in ordinary differential equations

[5] On the convergence, consistency and stability of a one-step method for numerical integration of ordinary differential equation [J].

Ibijola, EA ;

Kama, P .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1999, 73 (02) :261-277

[6]

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[7]

LABERT JD, 1973, COMPUTATIONAL METHOD

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