IMPLICIT TIME SPLITTING FOR 4TH-ORDER PARABOLIC EQUATIONS

Authors
CHRISTOV CI PONTES J WALGRAEF D VELARDE MG
Citation
Ci. Christov et al., IMPLICIT TIME SPLITTING FOR 4TH-ORDER PARABOLIC EQUATIONS, Computer methods in applied mechanics and engineering, 148(3-4), 1997, pp. 209-224
Citations number
19
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
148
Issue
3-4
Year of publication
1997
Pages
209 - 224
Database
ISI
SICI code
0045-7825(1997)148:3-4<209:ITSF4P>2.0.ZU;2-X
Abstract
A coordinate-splitting economic difference scheme is proposed for gene ralized parabolic equations (GPE) containing fourth-order diffusion op erators and the algorithm for its implementation is developed. The per formance of the scheme is demonstrated for different cases, e.g. for t reating bifurcation phenomena. The technique is applied to the numeric al solution of Swift-Hohenberg equation describing the Rayleigh-Benard convection and results are obtained for very large system sizes and f or very long times on small computational platform.