In this work we present the solution of the two-dimensional advection-diffusion equation b y the GILTT method. The GILTT approach uses , in the series expansion , eigenfunctions given in terms of cosine functions. Here, a different expansion for the solution of the advection-diffusion equation will be explored. In other words, a Sturm-Liouville problem carrying more information of the original problem is considered, given by Bessel functions. Numerical simulations and comparisons with experimental data are presented .
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