Method of nonlinear transformation for obtaining approximate analytic solution of nonlinear ordinary differential equation. II

被引：1
|
作者：
Konno, H [1 ]
Yamamoto, N
Lomdahl, PS
机构：
[1] Univ Tsukuba, Inst Informat Sci & Elect, Tsukuba, Ibaraki 3058573, Japan
[2] Univ Tsukuba, Sch Engn Syst, Tsukuba, Ibaraki 3058573, Japan
[3] Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2000年 / 69卷 / 02期
关键词：
nonlinear transformation; double exponential function; approximate analytic solution; nonlinear third order ordinary differential equation; harmonic balance method;
D O I：
10.1143/JPSJ.69.362
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown that the method of nonlinear transformation (NTR) is a powerful tool for obtaining approximate analytic solutions of nonlinear ordinary differential equations (ODEs), Special attention is paid to the performance of a family of double exponential NTRs. Applications of the double exponential NTRs to some nonlinear third order ODEs in the normal form are given with numerical examples.
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页码：362 / 368
页数：7
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