High order multiplication perturbation method for singular perturbation problems  

作　　者：张文志 黄培彦 

机构地区：[1]School of Civil and Transportation Engineering, South China University of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2013年第11期1383-1392,共10页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Key Program)(Nos.11132004 and 51078145)

摘　　要：This paper presents a high order multiplication perturbation method for sin- gularly perturbed two-point boundary value problems with the boundary layer at one end. By the theory of singular perturbations, the singularly perturbed two-point boundary value problems are first transformed into the singularly perturbed initial value problems. With the variable coefficient dimensional expanding, the non-homogeneous ordinary dif- ferential equations （ODEs） are transformed into the homogeneous ODEs, which are then solved by the high order multiplication perturbation method. Some linear and nonlinear numerical examples show that the proposed method has high precision.This paper presents a high order multiplication perturbation method for sin- gularly perturbed two-point boundary value problems with the boundary layer at one end. By the theory of singular perturbations, the singularly perturbed two-point boundary value problems are first transformed into the singularly perturbed initial value problems. With the variable coefficient dimensional expanding, the non-homogeneous ordinary dif- ferential equations （ODEs） are transformed into the homogeneous ODEs, which are then solved by the high order multiplication perturbation method. Some linear and nonlinear numerical examples show that the proposed method has high precision.

关 键 词：singular perturbation problem （SPP）. high order multiplication perturba-tion method two-point boundary value problem boundary layer 

分 类 号：O175.8[理学—数学]