High-order approximation of 2D convection-diffusion equation on hexagonal grids

Samir Karaa*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


We derive a fourth-order finite difference scheme for the two-dimensional convection-diffusion equation on an hexagonal grid. The difference scheme is defined on a single regular hexagon of size h over a seven-point stencil. Numerical experiments are conducted to verify the high accuracy of the derived scheme, and to compare it with the standard second-order central difference scheme.

Original languageEnglish
Pages (from-to)1238-1246
Number of pages9
JournalNumerical Methods for Partial Differential Equations
Issue number5
Publication statusPublished - Sept 2006


  • Compact scheme
  • Convection-diffusion equation
  • Hexagonal grid

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics


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