摘要
利用匹配渐近展开法,讨论了一类二阶非线性奇摄动问题εy″+yy'+xy+y2=0,x∈(0,1),y(0)=α,y(1)=β,通过匹配方程的内层解、外部解及边界层解,得出解的层性态与边界条件的关系,并给出了解的渐近表示.
The solution for a class of nonlinear singularly perturbed equation of second-order εy″＋yy′＋xy＋y^2=0,x∈（0,1）,y（0）=α,y（1）=β is considered by using the method of matched asymptotic expansion.The relation between the layer＇s quality of its solution and its boundary conditions is discussed by matching interior solution,outer solution and boundary solutions of the problem.And the asymptotic expansion of solution is obtained.
出处
《合肥学院学报（自然科学版）》
2011年第4期12-15,共4页
Journal of Hefei University :Natural Sciences
基金
国家自然基金项目(41075027D0503)
科技部创新方法专项子项目(2009IM010400)资助
关键词
非线性方程
边界层
内部层
匹配渐近展开
nonlinear equation
boundary layer
internal layer
matched asymptotic expansion
