A PETROV-GALERKIN FINITE-ELEMENT SCHEME FOR BURGERS-EQUATION

Authors
GARDNER LRT GARDNER GA DOGAN A
Citation
Lrt. Gardner et al., A PETROV-GALERKIN FINITE-ELEMENT SCHEME FOR BURGERS-EQUATION, Arabian journal for science and engineering, 22(2C), 1997, pp. 99-109
Citations number
18
Journal title
Arabian journal for science and engineering → ACNP
ISSN journal
03779211
Volume
22
Issue
2C
Year of publication
1997
Pages
99 - 109
Database
ISI
SICI code
0377-9211(1997)22:2C<99:APFSFB>2.0.ZU;2-S
Abstract
Burgers' equation is solved by a Petrov-Galerkin method using quadrati c B-spline spatial finite elements. A linear recurrence relationship f or the numerical solution of the resulting system of ordinary differen tial equations is obtained via a Crank-Nicolson approach involving a p roduct approximation. Standard problems are solved to assess the prope rties of the algorithm.