On the integral transform solution of convection–diffusion problems within unbounded domain

The solution of convection–diffusion problems, defined within unbounded regions, is investigated by making use of the generalized integral transform technique. This hybrid numerical- analytical approach, widely employed in the solution of various classes of problems within finite domains, is tested in the handling of unbounded domains through two different schemes, namely, a plain domain truncation procedure and a coordinate transformation approach. Numerical results are obtained from a linear Burgers-type model in order to illustrate the relative merits in each proposed solution scheme.