TRANSIENT SOLUTION DETERMINATION OF THE BOLTZMANN-EQUATION USING A POLYNOMIAL EXPANSION

Authors
TABIKH S GONTRAND C NOUGIER JP
Citation
S. Tabikh et al., TRANSIENT SOLUTION DETERMINATION OF THE BOLTZMANN-EQUATION USING A POLYNOMIAL EXPANSION, Journal de physique. III, 7(2), 1997, pp. 281-289
Citations number
10
Categorie Soggetti
Material Science","Phsycs, Fluid & Plasmas","Physics, Applied
Journal title
Journal de physique. III → ACNP
ISSN journal
11554320
Volume
7
Issue
2
Year of publication
1997
Pages
281 - 289
Database
ISI
SICI code
1155-4320(1997)7:2<281:TSDOTB>2.0.ZU;2-J
Abstract
The transient and stationary Boltzmann equation are solved by using a Legendre-Laguerre polynomial expansion for p-Si. Its resolution techni que is based on a least-square fitting algorithm. We show this method to be as accurate as the exact ones (particular or direct iterative pr ocess); the great interest lies on its fast computation, roughly 200 t imes faster than a Monte-Carlo code for instance, for the same accurac y.