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 (CCR-9988165).


Computer Software and Computed Results:
  1. Maple symbolic computation code for computing a fourth order compact scheme on the regular grid for two dimensional convection diffusion equation;
  2. LaTeX file for a fourth order compact scheme on the regular grid for two dimensional convection diffusion equation;
  3. Maple symbolic computation code for computing a fourth order compact scheme on the rotated grid for two dimensional convection diffusion equation;
  4. 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.