Abstract

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.

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