This page contains Maple codes and the corresponding LaTeX outputs
for deriving fourth order compact finite difference schemes for
the two dimensional convection diffusion equation on both the
regular and the rotated grids. These codes were developed as
part of the research project entitled
"Nonstandard High Order Multigrid Techniques with Applications
to Laminar Diffusion Flame Simulations", which is funded by NSF
(CCR9988165).
Computer Software and Computed Results:

Maple symbolic computation code for computing a fourth order
compact scheme on the regular grid for two dimensional
convection diffusion equation;

LaTeX file for a fourth order
compact scheme on the regular grid for two dimensional
convection diffusion equation;

Maple symbolic computation code for computing a fourth order
compact scheme on the rotated grid for two dimensional
convection diffusion equation;

LaTeX file for a fourth order
compact scheme on the rotated grid for two dimensional
convection diffusion equation.
This page is supported by the
U.S. National Science Foundation. However, any opinions, findings, and
conclusions or recommendations expressed in this documents are those of the
author and do not necessarily reflect the views of the
U.S. National Science Foundation.
Go back to
NSF Award 9988165 page.
This page was created on Monday, April 23, 2001, by
Jun Zhang
Last modified on Monday, April 23, 2001.