| 摘要: |
| 通过对一个含小参数一阶非线性微分方程Dirichlet问题的近似求解,阐述正则摄动法和PLK奇异摄动法求解微分方程近似解的基本思想. |
| 关键词: 奇异摄动 正则摄动 渐近展开式 一致有效 |
| DOI： |
| 投稿时间：2011-10-08 |
| 基金项目:广西自然科学基金项目(0091265)资助 |
|
| Regular and Singular Perturbation Solution for a Class of Nonlinear Differential Equations |
|
WEI Yu-cheng
|
| (Department of Mathematics, Hechi University, Yizhou, Guangxi, 546300, China) |
| Abstract: |
| The ideal of regular perturbation and PLK-singular perturbation methods is presented by finding asymptotic solutions for a one order nonlinear differential equations Dirichlet problem which contains small parameters. |
| Key words: singular perturbation regular perturbation asymptotic expansions uniformly valid |
