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

Authors
Konno, H Yamamoto, N Lomdahl, PS
Citation
H. Konno et al., Method of nonlinear transformation for obtaining approximate analytic solution of nonlinear ordinary differential equation. II, J PHYS JPN, 69(2), 2000, pp. 362-368
Citations number
6
Categorie Soggetti
Physics
Journal title
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN journal
00319015 → ACNP
Volume
69
Issue
2
Year of publication
2000
Pages
362 - 368
Database
ISI
SICI code
0031-9015(200002)69:2<362:MONTFO>2.0.ZU;2-6
Abstract
It is shown that the method of nonlinear transformation (NTR) is a powerful tool for obtaining approximate analytic solutions of nonlinear ordinary di fferential equations (ODEs), Special attention is paid to the performance o f a family of double exponential NTRs. Applications of the double exponenti al NTRs to some nonlinear third order ODEs in the normal form are given wit h numerical examples.