METHOD OF NONLINEAR TRANSFORMATION FOR OBTAINING APPROXIMATE ANALYTIC SOLUTION OF NONLINEAR ORDINARY DIFFERENTIAL-EQUATION

被引：2
|
作者：
KONNO, H
SAWAHATA, H
机构：
[1] Institute of Materials Science, University of Tsukuba
[2] Tsukuba High School, Tsukuba 305
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1995年 / 64卷 / 08期
关键词：
NONLINEAR TRANSFORMATION; ORDINARY DIFFERENTIAL EQUATION; KRYLOV-BOGOLIUBOV-MITROPOLSKY METHOD; HARMONIC BALANCE METHOD; APPROXIMATE ANALYTIC SOLUTION; 2ND-ORDER NORMAL FORM EQUATION; THE DUFFING OSCILLATORS; THE BRUSSELATOR;
D O I：
10.1143/JPSJ.64.2782
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We exemplify the method of nonlinear transformation (NTR) as a powerful tool for obtaining excellent approximate analytic solution of nonlinear ordinary differential equation. The Duffing oscillators and Brusselator are adopted to demonstrate its usefulness and suitability of the method of NTR.
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页码：2782 / 2794
页数：13
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