A NOTE ON DELTA-PERTURBATION EXPANSION METHOD

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (6): 634-638.

A NOTE ON DELTA-PERTURBATION EXPANSION METHOD

何吉欢

LNM, Institute of Mechanics, Chinese Academy of Sciences; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

收稿日期:2001-01-08 修回日期:2002-01-25 出版日期:2002-06-18 发布日期:2002-06-18
基金资助:
Foundation of LNM, Institute of Mechanics, Chinese Academy of Sciences

A NOTE ON DELTA-PERTURBATION EXPANSION METHOD

HE Ji-huan

LNM, Institute of Mechanics, Chinese Academy of Sciences; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received:2001-01-08 Revised:2002-01-25 Online:2002-06-18 Published:2002-06-18
Supported by:
Foundation of LNM, Institute of Mechanics, Chinese Academy of Sciences

摘要/Abstract

摘要： The Delta-perturbation expansion method, a kind of new perturbation technique depending upon an artificial parameter Delta was studied. The study reveals that the method exits some advantages, but also exits some limitations. To overcome the limitations, the so-called linearized perturbation method proposed by HE Ji-huan can be powerfully applied.

中图分类号:

O242.2

何吉欢. A NOTE ON DELTA-PERTURBATION EXPANSION METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(6): 634-638.

HE Ji-huan. A NOTE ON DELTA-PERTURBATION EXPANSION METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(6): 634-638.

参考文献

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[9] Acton J R, Squire P T. Solving Equations With Physical Understanding[M]. Bristol and Boston:Adam Hilger Ltd, 1985.
[10] HE Ji-huan. Modified Lindstedt-Poincare methods for some strongly nonlinear oscillations Part Ⅰ:expansion of a constant[J]. International Journal of Non-Linear Mechanics,2002,37(2):309-314.
[11] HE Ji-huan. Modified Lindstedt-Poincare methods for some strongly nonlinear oscillations Part Ⅱ: a new transformation[J]. International Journal of Non-Linear Mechanics, 2002,37(2): 315-320.
[12] HE Ji-huan. Modified Lindstedt-Poincare methods for some strongly nonlinear oscillations Part Ⅲ:double series expansion[J]. International Journal of Non-Linear Science and Numerical Simulation,2001,2(4):317-320.
[13] HE Ji-huan. Bookkeeping parameter in perturbation methods[J]. International Journal of Non-Linear Science and Numerical Simulation, 2001,2 (3): 257-264.

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A NOTE ON DELTA-PERTURBATION EXPANSION METHOD

A NOTE ON DELTA-PERTURBATION EXPANSION METHOD

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