Semi-Analytical Solutions of Batch System Population Balance Models

Zehra Pinar

Abstract

We propose a semi-analytical method to solve partial integro-differential equations with initial/boundary conditions. This work investigates the semi-analytical solutions of the population balance models (PBMs) for the batch systems. The comparison of obtained solutions with the known exact solutions is given to show the effectiveness of the proposed method. The proposed method is very useful, reliable, and flexible; also, the solutions can play key role population balance models in engineering and science which are different kinds of partial integro-differential equations.