Population balance models are tools for the study of dispersed systems, such as granular
materials, polymers, colloids and aerosols. They are applied with increasing frequency …

Recently, there has been an increase in the use of numerical simulation technology in
pharmaceutical preparation processes. Numerical simulation can contribute to a better …

In this work, the approach presented in a recent publication by Kaur et al.(2019) is improved.
The truncated series solution derived from the existing Homotopy Perturbation method …

In this article, we focus on addressing the missing convergence analysis of the homotopy
analysis method (HAM) for solving pure aggregation and pure fragmentation population …

This study presents the convergence and stability analysis of a recently developed fixed
pivot technique for fragmentation equations (Liao et al. in Int J Numer Methods Fluids 87 (4) …

This work is focused on developing a finite volume scheme for approximating a
fragmentation equation. The mathematical analysis is discussed in detail by examining …

This study proposes a novel approach based on the variational iteration method to solve the
nonlinear aggregation population balance equation. The approach provides great flexibility …

This present work is based on developing a deterministic discrete formulation for the
approximation of a multidimensional Smoluchowski (Coalescence) equation on a …

Population balances commonly incorporate physical kernels such as polymerization,
generalized bilinear, and Brownian aggregation kernels, which have found widespread …

The present work is focused on developing a finite volume scheme for a multidimensional
fragmentation equation. The finite volume scheme is established using the concept of …