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一类生物模型方程的数值解及其分析
引用本文:陈荣军,羿旭明.一类生物模型方程的数值解及其分析[J].数学理论与应用,2001(3).
作者姓名:陈荣军  羿旭明
作者单位:华东理工大学应用数学所,武汉大学应用数学系 上海,200237,武汉,430072
摘    要:本文利用小波 -Galerkin方法 ,求解生物领域的一模型方程 :一类带有小位移的线性二阶微分 -差分方程 (DDE) ,并对解的边界层性质进行数值探讨。结果表明 ,当小位移增加但仍保持很小时 ,解的边界层结构发生改变 ,甚至遭破坏

关 键 词:微分-差分方程  小位移  边界层  小波-Galerkin方法

THE SOLUTION AND ITS ANALYSIS OF A KIND OF BIOLOGICAL MODEL EQUATION
Chen rongjun.THE SOLUTION AND ITS ANALYSIS OF A KIND OF BIOLOGICAL MODEL EQUATION[J].Mathematical Theory and Applications,2001(3).
Authors:Chen rongjun
Abstract:In this paper an investigation is initiated of a model equation in biological domain by using wavelet-Galerkin,which is a kind of linear second-order differential-difference equations(DDE) with small shifts.At the same time,the numerical investigation of layer behavior of the solution is also discussed in this paper.It is shown that the layer behavior can change its character and even be destroyed as the shifts increase but remain small.
Keywords:differential-difference equations  small shifts  layer behavior  Wavelet-Galerkin
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