重正化群方法在一类奇异摄动边值问题中的应用

Renormalization Group Method Applied in a Class of Singular Perturbation Boundary Value Problems

WU Ke-yi¹,FU Miao-miao²,Lü Xian-rui³

（1.Department of Mathematics，Nanping Normal College，Nanping 353000，Fujian Province，China；2.College of Information and Technology，Changchun Normal University，Changchun 13

Received:2005-01-24 Revised:1900-01-01 Online:2005-09-26 Published:2005-09-26
Contact: Lü Xian-rui

Abstract

Abstract: The present paper presents an uniformly valid asymptotic expansion for a class of singular perturbation boundary value problems via the renormalization group method.In contrast to the conventional methods，the renormalization group approach requires neither ad hoc assumpations about the structure of perturbation series nor the use of asymptotic matching，therefore this method is more useful than the conventional methods.

Key words: renormalization group method, singular perturbation, asymptotic expansions

CLC Number:

O175.12

WU Ke-yi,FU Miao-miao,Lü Xian-rui. Renormalization Group Method Applied in a Class of Singular Perturbation Boundary Value Problems[J].J4, 2005, 43(05): 599-602.

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Renormalization Group Method Applied in a Class of Singular Perturbation Boundary Value Problems

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