A single cell high order scheme for the convectiondiffusion equation with variable coefficients
Abstract
A new finite difference scheme for the convectiondiffusion equation with variable coefficients is proposed. The difference scheme is defined on a single square cell of size 2h over a 9point stencil and has a truncation error of order h to the 4th. The resulting system of equations can be solved by iterative methods. Numerical results of some test problems are given.
 Publication:

International Journal for Numerical Methods in Fluids
 Pub Date:
 July 1984
 DOI:
 10.1002/fld.1650040704
 Bibcode:
 1984IJNMF...4..641G
 Keywords:

 Computational Fluid Dynamics;
 Convection;
 Diffusion;
 Finite Difference Theory;
 Flow Equations;
 Boundary Value Problems;
 Iterative Solution;
 Truncation Errors;
 Fluid Mechanics and Heat Transfer