LEAST-SQUARE APPROXIMATION OF A NONLINEAR ORDINARY DIFFERENTIAL-EQUATION

Authors
BENOUAZ T ARINO O
Citation
T. Benouaz et O. Arino, LEAST-SQUARE APPROXIMATION OF A NONLINEAR ORDINARY DIFFERENTIAL-EQUATION, Computers & mathematics with applications, 31(8), 1996, pp. 69-84
Citations number
10
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
31
Issue
8
Year of publication
1996
Pages
69 - 84
Database
ISI
SICI code
0898-1221(1996)31:8<69:LAOANO>2.0.ZU;2-2
Abstract
The aim of this paper is to present an optimal approximation method fo r a nonlinear ordinary differential equation based on the minimization in the least square sense. The approximation is order two or higher i n the vicinity of the origin. We provide a few examples.