|本期目录/Table of Contents|

一类非线性微分方程组的有理化Haar小波解法(PDF)

《纯粹数学与应用数学》[ISSN:1008-5513/CN:61-1240/O1]

期数:
2010年01期
页码:
99
栏目:
出版日期:
2010-01-15

文章信息/Info

Title:
Using rationalized Haar wavelet to solve a kinds of systems of nonlinear di?erential equations
作者:
连新泽 林长胜 陆征一
(温州大学数学与信息科学学院, 浙江温州325035)
Author(s):
LIAN Xin-ze LIN Chang-sheng LU Zheng-yi
(Department of Mathematics, Wenzhou University, Wenzhou 325000, China)
关键词:
有理化Haar小波 Volterra积分方程 微分方程组 动力学行为
Keywords:
rationalized Haar wavelets Volterra integral equations di?erential computations dynamic behav- iors
分类号:
O241.8
DOI:
-
文献标识码:
A
摘要:
利用有理化Haar小波性质和方法, 建立了一类非线性微分方程组在任意区 间[a,b)的求解算法. 基于该算法, 运用计算机代数系统Maple, 给出了求解非线性微分方 程组的程序. 并运用此程序给出了一类微分方程组的计算实例, 从数值模拟来看可以达 到较高的精度, 并对方程组的动力学行为给出较好的描述.
Abstract:
In this paper, by using the properties and methods of the rationalized Haar wavelets, an algorithm is established to obtain the approximate solutions of a kinds of systems of nonlinear di?erential equations in an arbitrary interval [a,b). Based on this algorithm, a program is proposed and fulˉlled by numerical and symbolic computations in Maple. Finally, some examples are given to illustrate the proposed method and describe well the dynamic behaviors of di?erential equations.

参考文献/References

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备注/Memo

备注/Memo:
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更新日期/Last Update: 2010-01-15