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强非线性问题的改进的L-P法及其应用
引用本文:袁镒吾,阎建军,刘杰.强非线性问题的改进的L-P法及其应用[J].重庆交通大学学报(自然科学版),2001,20(2):87-89,93.
作者姓名:袁镒吾  阎建军  刘杰
作者单位:1. 中南大学,
2. 新疆乌鲁木齐市市政养护管理二处,
3. 新疆高等级公路管理局计划处,
摘    要:用改进的L-P法求解了强非线性Duffing方程和一类非振动型强非线性微分方程的初值问题 ,计算过程简单 ,精度也比张佑启等2 ] 的改进的L-P法的更好

关 键 词:奇异摄动  改进的  L-P法  强非线性  Duffing方程
文章编号:1001-716X(2001)02-0087-03
修稿时间:2000年7月10日

Improved L-P method and its application in strongly nonlinear problems
YUAN Yi-wu,YAN Jian-jun,LIU Jie.Improved L-P method and its application in strongly nonlinear problems[J].Journal of Chongqing Jiaotong University,2001,20(2):87-89,93.
Authors:YUAN Yi-wu  YAN Jian-jun  LIU Jie
Abstract:In this paper, using the improved L-P method, the author seeks to solve the initial value problems of the strongly nonlinear Duffing equation and a class of nonoscillation type differential equation. Its calcultation process is quite simple and the accuracy of the results of this paper is better than that of the improved L-P method proposed by ZHANG Y. Q2].
Keywords:singular perturbation  improved  L-Pmethod  strongly nonlinear  duffing equation
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