Presenting a new method for the solution of nonlinear problems

被引：35

作者：

Amore, P ^{[1
]}

Aranda, A ^{[1
]}

机构：

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

来源：

PHYSICS LETTERS A | 2003年 / 316卷 / 3-4期

关键词：

D O I：

10.1016/j.physleta.2003.08.001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a method for the resolution of (oscillatory) nonlinear problems. It is based on the application of the linear delta expansion to the Lindstedt-Poincare method. By applying it to the Duffing equation, we show that our method substantially improves the approximation given by the simple Lindstedt-Poincare method. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：218 / 225

页数：8

共 12 条

[1]

AMORE P, UNPUB

[2]

BENDER CM, 1989, J MATHS PHYS, V30

[3] Applying the linear delta expansion to disordered systems [J].

Blencowe, MP ;

Korte, AP .

PHYSICAL REVIEW B, 1997, 56 (15) :9422-9430

[4] NONPERTURBATIVE PHYSICS FROM INTERPOLATING ACTIONS [J].

DUNCAN, A ;

MOSHE, M .

PHYSICS LETTERS B, 1988, 215 (02) :352-358

[5] Quantum dynamics of the slow rollover transition in the linear delta expansion [J].

Jones, HF ;

Parkin, P ;

Winder, D .

PHYSICAL REVIEW D, 2001, 63 (12)

[6]

JONES HF, 1991, JOINT INT LEPT PHOT

[7] Convergent resummed linear δ expansion in the critical O(N) (φi2)3d2 model -: art. no. 210403 [J].

Kneur, JL ;

Pinto, MB ;

Ramos, RO .

PHYSICAL REVIEW LETTERS, 2002, 89 (21)

[8]

KNEUR JL, CONDMAT0207295

[9] Optimized delta expansion for the Walecka model [J].

Krein, G ;

Menezes, DP ;

Pinto, MB .

PHYSICS LETTERS B, 1996, 370 (1-2) :5-11

[10]

LINDSTEDT A, 1883, MEM AC IMPER ST PETE, V31

← 1 2 →