Numerical solution of different population balance models using operational method based on Genocchi polynomials

Genocchi polynomials have exciting properties in the approximation of functions. Their derivative and integral calculations are simpler than other polynomials and, in practice, they give better results with low degrees. For these reasons, in this article, after introducing the important properties of these polynomials, we use them to approximate the solution of different population balance models. In each case, we first discuss the solution method and then do the error analysis. Since we do not have an exact solution, we compare our numerical results with those of other methods. The comparison of the obtained results shows the efficiency of our method. The validity of the presented results is indicated using MATLAB-Simulink.