Parameter estimation by spectral approximation

Citation
Kh. Cha et al., Parameter estimation by spectral approximation, APPL MATH C, 104(1), 1999, pp. 1-14
Citations number
18
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
104
Issue
1
Year of publication
1999
Pages
1 - 14
Database
ISI
SICI code
0096-3003(19990901)104:1<1:PEBSA>2.0.ZU;2-L
Abstract
In this paper, Chebyshev and Legendre approximations are proposed for estim ating parameters in differential equations, which are easy to be performed. The convergence and the spectral accuracy are proved, even without some co nditions as imposed in other papers. The numerical results show the advanta ges of this new approach. (C) 1999 Elsevier Science Inc. All rights reserve d. AMS Classification: 34A55; 65L10; 65L99.