A 2ND-ORDER ADI SCHEME FOR 3-DIMENSIONAL PARABOLIC DIFFERENTIAL-EQUATIONS

Authors
DAI W NASSAR R
Citation
W. Dai et R. Nassar, A 2ND-ORDER ADI SCHEME FOR 3-DIMENSIONAL PARABOLIC DIFFERENTIAL-EQUATIONS, Numerical methods for partial differential equations, 14(2), 1998, pp. 159-168
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerical methods for partial differential equations → ACNP
ISSN journal
0749159X
Volume
14
Issue
2
Year of publication
1998
Pages
159 - 168
Database
ISI
SICI code
0749-159X(1998)14:2<159:A2ASF3>2.0.ZU;2-C
Abstract
A second-order unconditionally stable ADI scheme has been developed fo r solving three-dimensional parabolic equations. This scheme reduces t hree-dimensional problems to a succession of one-dimensional problems. Further, the scheme is suitable for simulating fast transient phenome na. Numerical examples show that the scheme gives an accurate solution for the parabolic equation and converges rapidly to the steady state solution. (C) 1998 John Wiley & Sons, Inc.