Robin条件下奇摄动单边界层问题的初值方法  

Initial-Value Method for Singularly Perturbed Single Boundary Layer Problems with Robin Condition

作　　者：胡永生[1] HU Yong-sheng(Public Education Department,Fujian Vocational College of Agriculture,Fuzhou Fujian 350119,China)

机构地区：[1]福建农业职业技术学院公共教学部,福建福州350119

出　　处：《淮阴师范学院学报（自然科学版）》2024年第2期100-105,共6页Journal of Huaiyin Teachers College;Natural Science Edition

摘　　要：研究初值方法在处理奇摄动Robin单边界层问题中的应用.该方法建立在奇摄动边界层理论基础上,可以用于解决具有单侧边界层现象的奇摄动两点边值问题.首先将给定的奇摄动两点边值问题转化为三个一阶初值问题,再将所得到的三个初值问题分别求解,最后得到原问题的近似,通过算例验证了该方法所得到的近似解能与精确解、数值解达到较好的一致.The application of initial-value method in dealing with singularly perturbed Robin single boundary layer problem was studied.Based on the singularly perturbed boundary layer theory,this method can be used to solve singularly perturbed two-point boundary value problems with unilateral boundary layer phenomena.The basic process of this method is:firstly,the singularly perturbed two-point boundary value problem was transformed into three first-order initial value problems;then the three initial value problems are solved separately.Finally,the approximate solution of the original problem was obtained.Numerical examples shows that the approximate solution obtained by this method was in good agreement with the exact solution and numerical solution.

关 键 词：奇摄动 单边界层 Robin边界条件 初值方法 

分 类 号：O175.8[理学—数学]