| 一类非线性微分方程组的有理化Haar小波解法 |
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| 引用本文： | 连新泽,林长胜,陆征一.一类非线性微分方程组的有理化Haar小波解法[J].纯粹数学与应用数学,2010,26(1):99-106. |
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| 作者姓名： | 连新泽 林长胜 陆征一 |
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| 作者单位： | 温州大学数学与信息科学学院,浙江,温州,325035;温州大学数学与信息科学学院,浙江,温州,325035;温州大学数学与信息科学学院,浙江,温州,325035 |
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| 基金项目： | 国家973项目(2004CB318000);;留学回国人员择优资助项目;;浙江省自然科学基金(Y6080077) |
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| 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．
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| 关 键 词： | 有理化Haar小波 Volterra积分方程 微分方程组 动力学行为 |
Using rationalized Haar wavelet to solve a kinds of systems of nonlinear differential equations |
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| LIAN Xin-ze,LIN Chang-sheng,LU Zheng-yi.Using rationalized Haar wavelet to solve a kinds of systems of nonlinear differential equations[J].Pure and Applied Mathematics,2010,26(1):99-106. |
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| Authors: | LIAN Xin-ze LIN Chang-sheng LU Zheng-yi |
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| Institution: | Department of Mathematics;Wenzhou University;Wenzhou 325000;China |
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| 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 differential equations in an arbitrary intervala,b).Based on this algorithm,a program is proposed and fulfilled by numerical and symbolic computations in Maple.Finally,some examples are given to illustrate the proposed method and describe well the dynamic behaviors of differential equations. |
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| Keywords: | rationalized Haar wavelets Volterra integral equations differential computations dynamic behaviors |
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