• ARTIFICIAL DIFFUSION–CONVECTION PROBLEM IN ONE DIMENSION

Abstract

This paper deals with a convection-diffusion problem in one-dimension with variable co-efficient wherein an artificial –diffusion term is present. As a closed form solution, in general, is not possible the classical Frobenious method of series solution was used to solve the governing differential equation. Further the problem is also solved by making use of a central difference scheme. The Froeinious series solution is numerically computed and the results are compared with those obtained by central difference scheme. The results are depicted through graphs and the results obtained by both the methods seem to be in good agreement. It is observed that the artificial diffusion term plays a significant role in the behaviour of the solution.