High order analysis of nonlinear periodic differential equations

被引：15

作者：

Amore, P ^{[1
]}

Lamas, HM ^{[1
]}

机构：

[1] Univ Colima, Fac Ciencias, Colima, Mexico

来源：

PHYSICS LETTERS A | 2004年 / 327卷 / 2-3期

关键词：

Lindstedt-Poincare; linear delta expansion; optimized perturbation theory;

D O I：

10.1016/j.physleta.2004.05.016

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter we apply a method recently devised in [Phys. Lett. A 316 (2003) 218] to find accurate approximate solutions to a certain class Of nonlinear differential equations. The analysis carried out in [Phys. Lett. A 316 (2003) 218] is refined and results of much higher precision are obtained for the problems previously considered (Duffing equation, sextic oscillator). Fast convergence to the exact results is observed both for the frequency and for the Fourier coefficients. The method is also applied with success to more general polynomial potentials (the octic oscillator) and to the van der Pol equation. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：158 / 166

页数：9

共 8 条

[1] Presenting a new method for the solution of nonlinear problems [J].