Akademik Veri Yönetim Sistemi
Turkish Journal of Mathematics and Computer Science, cilt.16, sa.1, ss.240-254, 2024 (Hakemli Dergi)
This paper focuses on a numerical approach for the solution of the pollution problem for a system of
lakes. The pollution problem consists of three lakes with interconnecting channels and this model corresponds to
a system of linear differential equations. The main purpose of this study is to present a collocation method based
on the Boubaker polynomials to obtain approximate solutions of this pollution model. Firstly, the approximation
solutions are assumed in the forms of the truncated series of the Boubaker polynomials. The solution forms and
their derivatives are written in the matrix forms. By means of these matrix forms, the matrix operations and the
collocation points, the pollution model is reduced to a system of the algebraic linear equations. In addition, the error
estimation method is presented by using the residual function. The parameters in the pollution model are selected
according to the datas in the literature. For the selected parameters, the applications of the presented method are
made by using a code written in MATLAB. The application results are compared with the results of other methods
in the literature. The effectiveness and reliability of the presented method are observed from the obtained results.