HIGH-ORDER-ACCURATE DISCRETIZATION STENCIL FOR AN ELLIPTIC EQUATION

Authors
ARAD M YAKHOT A BENDOR G
Citation
M. Arad et al., HIGH-ORDER-ACCURATE DISCRETIZATION STENCIL FOR AN ELLIPTIC EQUATION, International journal for numerical methods in fluids, 23(4), 1996, pp. 367-377
Citations number
6
Categorie Soggetti
Mathematical Method, Physical Science","Phsycs, Fluid & Plasmas",Mechanics
Journal title
International journal for numerical methods in fluids → ACNP
ISSN journal
02712091
Volume
23
Issue
4
Year of publication
1996
Pages
367 - 377
Database
ISI
SICI code
0271-2091(1996)23:4<367:HDSFAE>2.0.ZU;2-Y
Abstract
The coefficients for a nine-point high-order-accurate discretization s cheme for an elliptic equation del(2)u - gamma(2)u = r(0) (del(2) is t he two-dimensional Laplacian operator) are derived. Examples with Diri chlet and Neumann boundary conditions are considered. In order to demo nstrate the high-order accuracy of the method, numerical results are c ompared with exact solutions.