摘要
利用小波-Galerkin方法,对一类带有小位移的线性二阶微分-差分方程(DDE)进行了研究,特别是对奇异摄动问题的边界层性质进行数值探讨。在神经细胞模型中,关于膜电位的第一期望离开时间有类似的边值问题。数值结果表明,当小位移增加但仍保持很小时,解的边界层结构发生改变,甚至被破坏。
In this paper an investigation is initiated of a kind of linear second-order differential-difference equations (DDE) with small shifts by using wavelet-Galerkin, particularly of numerical investigation of singular perturbation problem with layer behavior. Similar boundary-value problems are associated with expected first-exit times of the membrane potential in models of nerve. In particular, this paper focuses on problems with solutions that exhibit layer behavior at one of the boundaries by using Wavelet-Galerkin method. It is shown that the layer behavior can change its character and even be destroyed as the shifts increase but remain small.
出处
《常州工学院学报》
2001年第2期17-21,共5页
Journal of Changzhou Institute of Technology
