A Crank-Nicolson orthogonal spline collocation method for vibration problems

Authors
Li, BK Fairweather, G Bialecki, B
Citation
Bk. Li et al., A Crank-Nicolson orthogonal spline collocation method for vibration problems, APPL NUM M, 33(1-4), 2000, pp. 299-306
Citations number
6
Categorie Soggetti
Mathematics
Journal title
APPLIED NUMERICAL MATHEMATICS
ISSN journal
01689274 → ACNP
Volume
33
Issue
1-4
Year of publication
2000
Pages
299 - 306
Database
ISI
SICI code
0168-9274(200005)33:1-4<299:ACOSCM>2.0.ZU;2-A
Abstract
A discrete-time orthogonal spline collocation scheme is formulated and anal yzed for a problem governing the transverse vibrations of a clamped square plate. The problem is reformulated as a Schrodinger-type system which is th en approximated by a Crank-Nicolson orthogonal spline collocation scheme. T his scheme is shown to be second-order accurate in time and of optimal orde r accuracy in space in the H-1- and H-2-norms. (C) 2000 IMACS. Published by Elsevier Science B.V. All rights reserved.