On the numerical solution of stiff systems

被引：23

作者：

Guzel, N ^{[1
]}

Bayram, M ^{[1
]}

机构：

[1] Yildiz Teknik Univ, Fen Edebiyat, Matemat Bolumu, TR-34210 Istanbul, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 170卷 / 01期

关键词：

stiff system; power series; numerical solution of the ordinary differential equations; MAPLE;

D O I：

10.1016/j.amc.2004.11.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use power series method to solve stiff ordinary differential equations of the first order and an ordinary differential equation of any order by converting it into a system of differential of the order one. Theoretical considerations has been discussed and some examples were presented to show the ability of the method for linear and non-linear systems of differential equations. We use MAPLE computer algebra systems for numerical calculations [G. Frank, MAPLE V, CRC Press Inc., Florida, 1996]. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：230 / 236

页数：7

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