The numerical solution of the population balance equation is frequently achieved by means
of discretization, ie, by the method of classes. An important concern of discrete formulations …

Lane-Emden type equations are nonlinear differential equations which represent many
scientific phenomena in astrophysics and mathematical physics. In this study, a new analytic …

This paper develops a new simulation model for crystal size distribution dynamics in
industrial batch crystallization. The work is motivated by the necessity of accurate prediction …

This paper proposes a unified Monte Carlo approach to model simultaneous particle
coagulation and breakage processes. Based on the reconstruction of stochastic weighted …

A modified equation of Burgers type with a quadratically cubic (QC) nonlinear term was
recently pointed out as a new exactly solvable model of mathematical physics. However, its …

The population balance equation (PBE) is one of the most popular integro-differential
equations modeled for several industrial processes. The solution to this equation is usually …

While probabilistic modelling has been widely used in the last decades, the quantitative
prediction in stochastic modelling of real physical problems remains a great challenge and …

This thesis examines the effects of coagulation on the droplet size distribution within the
hollow cone sprays used by industrial spray dryers. A simple model is presented that …

The thesis presents a modelling approach to calculate and fit the evolution of the drop size
distributions of oil and water emulsions under turbulent flow in pipes. A simulation model is …

A new analytic approximate technique for addressing nonlinear problems, namely the
optimal perturbation iteration method, is introduced and implemented to singular initial value …