Improved L-P method and its application in strongly nonlinear problems

Journal of Chongqing Jiaotong University(Natural Science) ›› 2001, Vol. 20 ›› Issue (2): 87-89.

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Improved L-P method and its application in strongly nonlinear problems

YUAN Yi wu¹, YAN Jian jun², LIU Jie³

1.Central South University,Changsha 410083,China;2.The Second M anagement Office of Municipal Engineering Maintenance Wulumuqi City,Xinjiang Wulumuqi 830002,China;2.The Department of Planning, Xinjiang High-gra

Online:2001-06-20 Published:2016-07-12

强非线性问题的改进的L-P法及其应用

袁镒吾¹,阎建军²,刘杰³

1.中南大学湖南长沙410083;2.新疆乌鲁木齐市市政养护管理二处新疆乌鲁木齐830002;3.新疆高等级公路管理局计划处新疆乌鲁木齐830001

Abstract

Abstract: In this paper,using the improved L-P method,the a ut hor seeks to solve the initial value problems of the strongly nonlinear Duffing equation and a class of nonoscillation type differential equation.Its calcultati o n process is quite simple and the accuracy of the results of this paper is bette r than that of the improved L-P method proposed by ZHANG Y.Q.

Key words: singular perturbation, improved, L-P method, strongly no nlinear, duffing equation

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

CLC Number:

O175

YUAN Yi wu1, YAN Jian jun2, LIU Jie3. Improved L-P method and its application in strongly nonlinear problems[J]. Journal of Chongqing Jiaotong University(Natural Science), 2001, 20(2): 87-89.

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.

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Improved L-P method and its application in strongly nonlinear problems

强非线性问题的改进的L-P法及其应用

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