奇摄动边值问题中的衔接法  

Joint Method in Singularly Perturbed Boundary Value Problems

作　　者：冯依虎[1,2] 刘树德[2] 

机构地区：[1]亳州师范高等专科学院,安徽亳州236800 [2]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《安徽师范大学学报（自然科学版）》2013年第4期326-329,共4页Journal of Anhui Normal University(Natural Science)

基　　金：安徽高校省级自然科学基金(KJ2010A153)

摘　　要：在奇摄动内层问题的研究中提出一种构造性方法,称为衔接法.并用它分别研究奇摄动非线性边值问题中的角层和激波层两类内层性态.通过分别构造内层两边解的近似,然后将对应的曲线光滑地衔接起来,从而形成整个区间上解的近似式.A constructive method, say joint method, in singularly perturbed interior layer problems is presented. Two types of interior layer behavior including corner layer and shock layer are studied using joint method. An approximation expression on whole interval is formed by constructing approximations of solutions for both sides of interior layer respectively, and smoothly jointing curves corresponding to these two approximations.

关 键 词：奇摄动 边值问题 衔接法 内层性态 角层 激波层 

分 类 号：O175.14[理学—数学]